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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN511-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:17:03 PM UTC 2026

% Result   : Unsatisfiable 0.19s 0.29s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   42
%            Number of leaves      :  271
% Syntax   : Number of formulae    : 1010 (  25 unt; 142 def)
%            Number of atoms       : 3323 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 4009 (1696   ~;2171   |;   0   &)
%                                         ( 142 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  174 ( 173 usr; 170 prp; 0-1 aty)
%            Number of functors    :   26 (  26 usr;  26 con; 0-0 aty)
%            Number of variables   :  242 (   0 sgn 242   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f3,negated_conjecture,
    ( ~ hskp28
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f20,negated_conjecture,
    ( ~ hskp11
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

fof(f32,negated_conjecture,
    ( hskp27
    | hskp24
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ( hskp28
    | hskp30
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp28
    | hskp19
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f36,negated_conjecture,
    ( hskp30
    | hskp26
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( hskp11
    | hskp21
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f39,negated_conjecture,
    ( hskp29
    | hskp0
    | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( hskp22
    | hskp8
    | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f42,negated_conjecture,
    ( ~ hskp30
    | c0_1(a753) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp30
    | c2_1(a753) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp30
    | c3_1(a753) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp29
    | c1_1(a725) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp29
    | c2_1(a725) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp29
    | c3_1(a725) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp28
    | c0_1(a678) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp28
    | c1_1(a678) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp28
    | c3_1(a678) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp27
    | c0_1(a676) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp27
    | c1_1(a676) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp27
    | c2_1(a676) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp26
    | c1_1(a762) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp24
    | c0_1(a731) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp23
    | c0_1(a730) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp23
    | c2_1(a730) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp22
    | c1_1(a716) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp22
    | c2_1(a716) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp21
    | c0_1(a715) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp20
    | c0_1(a711) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp20
    | c1_1(a711) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp19
    | c1_1(a710) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp19
    | c2_1(a710) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp18
    | c3_1(a708) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp17
    | c1_1(a703) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp16
    | c2_1(a702) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp16
    | c3_1(a702) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp15
    | c2_1(a700) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp14
    | c0_1(a696) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp14
    | c2_1(a696) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp13
    | c0_1(a688) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp13
    | c1_1(a688) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp12
    | c3_1(a684) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp11
    | c0_1(a683) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp11
    | c3_1(a683) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp10
    | c2_1(a681) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp10
    | c3_1(a681) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp9
    | c2_1(a680) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp8
    | c1_1(a679) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp8
    | c3_1(a679) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp7
    | c1_1(a675) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp7
    | c3_1(a675) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f87,negated_conjecture,
    ( ~ hskp2
    | c3_1(a670) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp1
    | c0_1(a669) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ hskp0
    | c1_1(a668) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c0_1(a762)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ c3_1(a762)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f95,negated_conjecture,
    ( ~ c1_1(a731)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c3_1(a731)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c1_1(a730)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c3_1(a716)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c2_1(a715)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c3_1(a715)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c2_1(a711)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c0_1(a710)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c1_1(a708)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c2_1(a708)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c0_1(a703)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c2_1(a703)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c1_1(a702)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c0_1(a700)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c3_1(a700)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c3_1(a696)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c3_1(a688)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c0_1(a684)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c2_1(a684)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c2_1(a683)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c0_1(a681)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c1_1(a680)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c3_1(a680)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c0_1(a679)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c2_1(a675)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f129,negated_conjecture,
    ( ~ c0_1(a670)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c1_1(a670)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c1_1(a669)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c2_1(a669)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ c2_1(a668)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ c3_1(a668)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp8
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp10
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp20
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp21
      | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp20
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp20
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp29
      | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp27
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp11
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp24
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp28
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp14
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp14
      | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp1
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f160,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp23
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f189,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c0_1(X1)
      | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f191,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

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

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

fof(f194,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

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

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

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

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

fof(f199,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c1_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
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

fof(f201,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).

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

fof(f204,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | c0_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).

fof(f205,plain,
    ( hskp30
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f213,plain,
    ( hskp11
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f221,plain,
    ( ~ hskp27
    | hskp24
    | ~ hskp18 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f222,plain,
    ( hskp28
    | ~ hskp30
    | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f224,plain,
    ( ~ hskp30
    | ~ hskp26
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f225,plain,
    ( ~ hskp11
    | ~ hskp21
    | hskp2 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f227,plain,
    ( hskp29
    | ~ hskp0
    | hskp16 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f228,plain,
    ( hskp22
    | ~ hskp8
    | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f230,plain,
    ( hskp30
    | c0_1(a753) ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f231,plain,
    ( hskp30
    | c2_1(a753) ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f232,plain,
    ( hskp30
    | c3_1(a753) ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f233,plain,
    ( ~ hskp29
    | ~ c1_1(a725) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f234,plain,
    ( ~ hskp28
    | ~ c1_1(a678) ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f235,plain,
    ( hskp27
    | c0_1(a676) ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f236,plain,
    ( hskp27
    | ~ c1_1(a676) ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f237,plain,
    ( hskp27
    | c2_1(a676) ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f238,plain,
    ( hskp26
    | ~ c1_1(a762) ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f239,plain,
    ( hskp23
    | c0_1(a730) ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f240,plain,
    ( hskp23
    | c2_1(a730) ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f241,plain,
    ( ~ hskp22
    | ~ c1_1(a716) ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f242,plain,
    ( hskp21
    | c0_1(a715) ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f243,plain,
    ( ~ hskp20
    | ~ c1_1(a711) ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f244,plain,
    ( ~ hskp19
    | ~ c1_1(a710) ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f245,plain,
    ( hskp18
    | c3_1(a708) ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f246,plain,
    ( ~ hskp17
    | ~ c1_1(a703) ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f247,plain,
    ( hskp15
    | c2_1(a700) ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f248,plain,
    ( ~ hskp13
    | ~ c1_1(a688) ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f249,plain,
    ( hskp11
    | c0_1(a683) ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f250,plain,
    ( hskp11
    | c3_1(a683) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f251,plain,
    ( hskp10
    | c2_1(a681) ),
    inference(consistent_polarity_flipping,[],[f77]) ).

fof(f252,plain,
    ( hskp10
    | c3_1(a681) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f253,plain,
    ( hskp8
    | ~ c1_1(a679) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f254,plain,
    ( hskp8
    | c3_1(a679) ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f255,plain,
    ( hskp7
    | ~ c1_1(a675) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f256,plain,
    ( hskp7
    | c3_1(a675) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f259,plain,
    ( hskp1
    | c0_1(a669) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f260,plain,
    ( hskp0
    | ~ c1_1(a668) ),
    inference(consistent_polarity_flipping,[],[f89]) ).

fof(f261,plain,
    ( ~ c0_1(a762)
    | hskp26 ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f262,plain,
    ( ~ c3_1(a762)
    | hskp26 ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f266,plain,
    ( c1_1(a731)
    | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f267,plain,
    ( c1_1(a730)
    | hskp23 ),
    inference(consistent_polarity_flipping,[],[f97]) ).

fof(f268,plain,
    ( ~ c2_1(a715)
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f269,plain,
    ( ~ c3_1(a715)
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f270,plain,
    ( c1_1(a708)
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f271,plain,
    ( ~ c2_1(a708)
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f272,plain,
    ( c1_1(a702)
    | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f273,plain,
    ( ~ c0_1(a700)
    | hskp15 ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f274,plain,
    ( ~ c3_1(a700)
    | hskp15 ),
    inference(consistent_polarity_flipping,[],[f109]) ).

fof(f275,plain,
    ( ~ c2_1(a683)
    | hskp11 ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f276,plain,
    ( ~ c0_1(a681)
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f277,plain,
    ( c1_1(a680)
    | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f278,plain,
    ( ~ c0_1(a679)
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f279,plain,
    ( ~ c2_1(a675)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f286,plain,
    ( c1_1(a670)
    | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f287,plain,
    ( c1_1(a669)
    | hskp1 ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f288,plain,
    ( ~ c2_1(a669)
    | hskp1 ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f289,plain,
    ( ~ c2_1(a668)
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f133]) ).

fof(f290,plain,
    ( ~ c3_1(a668)
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f295,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ hskp8
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f296,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ hskp10
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f141]) ).

fof(f298,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | hskp20
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f300,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ hskp21
      | hskp22 ),
    inference(consistent_polarity_flipping,[],[f145]) ).

fof(f302,plain,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | hskp20
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f303,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c3_1(X0)
      | hskp20
      | hskp19 ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f304,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c3_1(X0)
      | hskp29
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f149]) ).

fof(f305,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ hskp27
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f307,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | ~ hskp11
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f308,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | hskp24
      | hskp19 ),
    inference(consistent_polarity_flipping,[],[f153]) ).

fof(f310,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp28
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f311,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp14
      | hskp17 ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f312,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp14
      | hskp24 ),
    inference(consistent_polarity_flipping,[],[f157]) ).

fof(f313,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | ~ hskp1
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f315,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ hskp23
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f319,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f321,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f322,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f323,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f326,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f328,plain,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f332,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1)
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f177]) ).

fof(f333,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c3_1(X1)
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f334,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f336,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f338,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f341,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f344,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c2_1(X1)
      | c0_1(X1)
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f189]) ).

fof(f346,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f347,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | c2_1(X0)
      | ~ c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f348,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f193]) ).

fof(f349,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X2)
      | ~ c1_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f350,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c1_1(X2)
      | c2_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f351,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X2)
      | ~ c2_1(X2)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f196]) ).

fof(f352,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X1)
      | c3_1(X1)
      | ~ c1_1(X2)
      | c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f197]) ).

fof(f353,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X2)
      | c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f198]) ).

fof(f354,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | ~ c3_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f199]) ).

fof(f355,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c3_1(X1)
      | c1_1(X2)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f200]) ).

fof(f356,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X2)
      | ~ c1_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f201]) ).

fof(f357,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c0_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f202]) ).

fof(f359,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X2)
      | ~ c2_1(X2)
      | c0_1(X1)
      | c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f204]) ).

fof(f361,definition,
    ( spl0_1
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f362,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f364,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f365,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f367,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f371,definition,
    ( spl0_4
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f372,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f373,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f359,f371,f367,f364,f361]) ).

fof(f375,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f376,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f378,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f379,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f382,definition,
    ( spl0_7
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f383,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f385,definition,
    ( spl0_8
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f386,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f388,definition,
    ( spl0_9
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f389,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f390,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f357,f388,f367,f385,f382]) ).

fof(f392,definition,
    ( spl0_10
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f393,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f395,definition,
    ( spl0_11
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f396,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f398,definition,
    ( spl0_12
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f399,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f400,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f356,f398,f367,f395,f392]) ).

fof(f401,plain,
    ( spl0_10
    | spl0_8
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f355,f371,f367,f385,f392]) ).

fof(f403,definition,
    ( spl0_13
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f404,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f406,definition,
    ( spl0_14
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f407,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f408,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f354,f398,f367,f406,f403]) ).

fof(f410,definition,
    ( spl0_15
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f411,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f413,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f414,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f416,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f417,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f418,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f353,f416,f367,f413,f410]) ).

fof(f419,plain,
    ( spl0_5
    | spl0_15
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f352,f371,f367,f410,f375]) ).

fof(f421,definition,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f422,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f423,plain,
    ( spl0_1
    | spl0_18
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f351,f406,f367,f421,f361]) ).

fof(f425,definition,
    ( spl0_19
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f426,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f428,definition,
    ( spl0_20
  <=> ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f429,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f430,plain,
    ( spl0_19
    | spl0_14
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f350,f428,f367,f406,f425]) ).

fof(f432,definition,
    ( spl0_21
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f433,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f434,plain,
    ( spl0_10
    | spl0_2
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f349,f432,f367,f364,f392]) ).

fof(f435,plain,
    ( spl0_13
    | spl0_8
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f348,f413,f367,f385,f403]) ).

fof(f437,definition,
    ( spl0_22
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f438,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f439,plain,
    ( spl0_22
    | spl0_5
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f347,f428,f367,f375,f437]) ).

fof(f440,plain,
    ( spl0_12
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f346,f371,f367,f398]) ).

fof(f442,definition,
    ( spl0_23
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f446,definition,
    ( spl0_24
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f447,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f450,definition,
    ( spl0_25
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f453,plain,
    ( ~ spl0_25
    | spl0_1
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f344,f388,f367,f361,f450]) ).

fof(f459,definition,
    ( spl0_27
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f460,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f463,definition,
    ( spl0_28
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f468,definition,
    ( spl0_29
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f472,definition,
    ( spl0_30
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f473,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f474,plain,
    ( spl0_29
    | spl0_30
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f341,f388,f367,f472,f468]) ).

fof(f476,definition,
    ( spl0_31
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f480,definition,
    ( spl0_32
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f481,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f484,definition,
    ( spl0_33
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f488,plain,
    ( spl0_29
    | spl0_8
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f338,f378,f367,f385,f468]) ).

fof(f495,definition,
    ( spl0_35
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f498,plain,
    ( ~ spl0_35
    | spl0_1
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f336,f378,f367,f361,f495]) ).

fof(f500,definition,
    ( spl0_36
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f505,definition,
    ( spl0_37
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f508,plain,
    ( spl0_37
    | spl0_22
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f334,f398,f367,f437,f505]) ).

fof(f510,definition,
    ( spl0_38
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f513,plain,
    ( spl0_38
    | spl0_15
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f333,f395,f367,f410,f510]) ).

fof(f514,plain,
    ( ~ spl0_35
    | spl0_30
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f332,f446,f367,f472,f495]) ).

fof(f524,definition,
    ( spl0_41
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f533,definition,
    ( spl0_43
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f536,plain,
    ( ~ spl0_43
    | spl0_1
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f328,f472,f367,f361,f533]) ).

fof(f542,plain,
    ( spl0_36
    | spl0_19
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f326,f413,f367,f425,f500]) ).

fof(f544,definition,
    ( spl0_45
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f549,definition,
    ( spl0_46
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f554,definition,
    ( spl0_47
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f558,definition,
    ( spl0_48
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f559,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f560,plain,
    ( ~ spl0_47
    | spl0_48
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f323,f413,f367,f558,f554]) ).

fof(f562,definition,
    ( spl0_49
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f565,plain,
    ( ~ spl0_49
    | spl0_13
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f322,f395,f367,f403,f562]) ).

fof(f566,plain,
    ( ~ spl0_35
    | spl0_7
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f321,f459,f367,f382,f495]) ).

fof(f568,plain,
    ( ~ spl0_43
    | spl0_22
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f319,f392,f367,f437,f533]) ).

fof(f581,plain,
    ( spl0_29
    | ~ spl0_28
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f315,f371,f367,f463,f468]) ).

fof(f583,definition,
    ( spl0_53
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f591,definition,
    ( spl0_55
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f594,plain,
    ( ~ spl0_23
    | ~ spl0_55
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f313,f446,f367,f591,f442]) ).

fof(f596,definition,
    ( spl0_56
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f600,definition,
    ( spl0_57
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f603,plain,
    ( spl0_56
    | spl0_57
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f312,f378,f367,f600,f596]) ).

fof(f604,plain,
    ( spl0_33
    | spl0_57
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f311,f428,f367,f600,f484]) ).

fof(f605,plain,
    ( ~ spl0_35
    | spl0_37
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f310,f428,f367,f505,f495]) ).

fof(f607,plain,
    ( spl0_31
    | spl0_56
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f308,f432,f367,f596,f476]) ).

fof(f608,plain,
    ( spl0_29
    | ~ spl0_49
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f307,f364,f367,f562,f468]) ).

fof(f610,plain,
    ( ~ spl0_55
    | ~ spl0_43
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f305,f410,f367,f533,f591]) ).

fof(f612,definition,
    ( spl0_58
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f615,plain,
    ( ~ spl0_25
    | spl0_58
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f304,f375,f367,f612,f450]) ).

fof(f617,definition,
    ( spl0_59
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f620,plain,
    ( spl0_31
    | spl0_59
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f303,f375,f367,f617,f476]) ).

fof(f621,plain,
    ( ~ spl0_46
    | spl0_59
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f302,f472,f367,f617,f549]) ).

fof(f623,definition,
    ( spl0_60
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f628,definition,
    ( spl0_61
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f631,plain,
    ( spl0_61
    | ~ spl0_23
    | ~ spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f300,f480,f367,f442,f628]) ).

fof(f633,plain,
    ( spl0_38
    | spl0_59
    | ~ spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f298,f480,f367,f617,f510]) ).

fof(f635,plain,
    ( spl0_60
    | ~ spl0_35
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f296,f437,f367,f495,f623]) ).

fof(f636,plain,
    ( spl0_53
    | ~ spl0_45
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f295,f437,f367,f544,f583]) ).

fof(f643,definition,
    ( spl0_62
  <=> c3_1(a668) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f646,plain,
    ( spl0_46
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f290,f643,f549]) ).

fof(f648,definition,
    ( spl0_63
  <=> c2_1(a668) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f651,plain,
    ( spl0_46
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f289,f648,f549]) ).

fof(f653,definition,
    ( spl0_64
  <=> c2_1(a669) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f656,plain,
    ( spl0_55
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f288,f653,f591]) ).

fof(f658,definition,
    ( spl0_65
  <=> c1_1(a669) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f660,plain,
    ( c1_1(a669)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f661,plain,
    ( spl0_55
    | spl0_65 ),
    inference(avatar_split_clause,[],[f287,f658,f591]) ).

fof(f663,definition,
    ( spl0_66
  <=> c1_1(a670) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f665,plain,
    ( c1_1(a670)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f666,plain,
    ( ~ spl0_60
    | spl0_66 ),
    inference(avatar_split_clause,[],[f286,f663,f623]) ).

fof(f668,definition,
    ( spl0_67
  <=> c0_1(a670) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f671,plain,
    ( ~ spl0_60
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f129,f668,f623]) ).

fof(f718,definition,
    ( spl0_77
  <=> c2_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f721,plain,
    ( spl0_47
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f279,f718,f554]) ).

fof(f723,definition,
    ( spl0_78
  <=> c0_1(a679) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f726,plain,
    ( spl0_45
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f278,f723,f544]) ).

fof(f728,definition,
    ( spl0_79
  <=> c3_1(a680) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f731,plain,
    ( ~ spl0_53
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f117,f728,f583]) ).

fof(f733,definition,
    ( spl0_80
  <=> c1_1(a680) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f735,plain,
    ( c1_1(a680)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f736,plain,
    ( ~ spl0_53
    | spl0_80 ),
    inference(avatar_split_clause,[],[f277,f733,f583]) ).

fof(f738,definition,
    ( spl0_81
  <=> c0_1(a681) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f741,plain,
    ( spl0_35
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f276,f738,f495]) ).

fof(f743,definition,
    ( spl0_82
  <=> c2_1(a683) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f746,plain,
    ( spl0_49
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f275,f743,f562]) ).

fof(f748,definition,
    ( spl0_83
  <=> c2_1(a684) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f751,plain,
    ( ~ spl0_36
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f113,f748,f500]) ).

fof(f753,definition,
    ( spl0_84
  <=> c0_1(a684) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f756,plain,
    ( ~ spl0_36
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f112,f753,f500]) ).

fof(f758,definition,
    ( spl0_85
  <=> c3_1(a688) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f761,plain,
    ( ~ spl0_38
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f111,f758,f510]) ).

fof(f763,definition,
    ( spl0_86
  <=> c3_1(a696) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f765,plain,
    ( ~ c3_1(a696)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f766,plain,
    ( ~ spl0_57
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f110,f763,f600]) ).

fof(f768,definition,
    ( spl0_87
  <=> c3_1(a700) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f770,plain,
    ( ~ c3_1(a700)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f771,plain,
    ( spl0_25
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f274,f768,f450]) ).

fof(f773,definition,
    ( spl0_88
  <=> c0_1(a700) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f776,plain,
    ( spl0_25
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f273,f773,f450]) ).

fof(f778,definition,
    ( spl0_89
  <=> c1_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f780,plain,
    ( c1_1(a702)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f781,plain,
    ( ~ spl0_29
    | spl0_89 ),
    inference(avatar_split_clause,[],[f272,f778,f468]) ).

fof(f783,definition,
    ( spl0_90
  <=> c2_1(a703) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f786,plain,
    ( ~ spl0_33
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f106,f783,f484]) ).

fof(f788,definition,
    ( spl0_91
  <=> c0_1(a703) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f791,plain,
    ( ~ spl0_33
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f105,f788,f484]) ).

fof(f793,definition,
    ( spl0_92
  <=> c2_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f796,plain,
    ( spl0_41
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f271,f793,f524]) ).

fof(f798,definition,
    ( spl0_93
  <=> c1_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f800,plain,
    ( c1_1(a708)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f801,plain,
    ( spl0_41
    | spl0_93 ),
    inference(avatar_split_clause,[],[f270,f798,f524]) ).

fof(f803,definition,
    ( spl0_94
  <=> c0_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f806,plain,
    ( ~ spl0_31
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f102,f803,f476]) ).

fof(f808,definition,
    ( spl0_95
  <=> c2_1(a711) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f811,plain,
    ( ~ spl0_59
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f101,f808,f617]) ).

fof(f813,definition,
    ( spl0_96
  <=> c3_1(a715) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f815,plain,
    ( ~ c3_1(a715)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f816,plain,
    ( spl0_23
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f269,f813,f442]) ).

fof(f818,definition,
    ( spl0_97
  <=> c2_1(a715) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f821,plain,
    ( spl0_23
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f268,f818,f442]) ).

fof(f823,definition,
    ( spl0_98
  <=> c3_1(a716) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f825,plain,
    ( ~ c3_1(a716)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f826,plain,
    ( ~ spl0_61
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f98,f823,f628]) ).

fof(f828,definition,
    ( spl0_99
  <=> c1_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f830,plain,
    ( c1_1(a730)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f831,plain,
    ( spl0_28
    | spl0_99 ),
    inference(avatar_split_clause,[],[f267,f828,f463]) ).

fof(f833,definition,
    ( spl0_100
  <=> c3_1(a731) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f835,plain,
    ( ~ c3_1(a731)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f836,plain,
    ( ~ spl0_56
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f96,f833,f596]) ).

fof(f838,definition,
    ( spl0_101
  <=> c1_1(a731) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f840,plain,
    ( c1_1(a731)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f841,plain,
    ( ~ spl0_56
    | spl0_101 ),
    inference(avatar_split_clause,[],[f266,f838,f596]) ).

fof(f862,definition,
    ( spl0_106
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f866,definition,
    ( spl0_107
  <=> c3_1(a762) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f869,plain,
    ( spl0_106
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f262,f866,f862]) ).

fof(f871,definition,
    ( spl0_108
  <=> c0_1(a762) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f874,plain,
    ( spl0_106
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f261,f871,f862]) ).

fof(f876,definition,
    ( spl0_109
  <=> c1_1(a668) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f878,plain,
    ( ~ c1_1(a668)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f879,plain,
    ( ~ spl0_109
    | spl0_46 ),
    inference(avatar_split_clause,[],[f260,f549,f876]) ).

fof(f881,definition,
    ( spl0_110
  <=> c0_1(a669) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f884,plain,
    ( spl0_110
    | spl0_55 ),
    inference(avatar_split_clause,[],[f259,f591,f881]) ).

fof(f886,definition,
    ( spl0_111
  <=> c3_1(a670) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f889,plain,
    ( spl0_111
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f87,f623,f886]) ).

fof(f906,definition,
    ( spl0_115
  <=> c3_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f909,plain,
    ( spl0_115
    | spl0_47 ),
    inference(avatar_split_clause,[],[f256,f554,f906]) ).

fof(f911,definition,
    ( spl0_116
  <=> c1_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f913,plain,
    ( ~ c1_1(a675)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f914,plain,
    ( ~ spl0_116
    | spl0_47 ),
    inference(avatar_split_clause,[],[f255,f554,f911]) ).

fof(f916,definition,
    ( spl0_117
  <=> c3_1(a679) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f919,plain,
    ( spl0_117
    | spl0_45 ),
    inference(avatar_split_clause,[],[f254,f544,f916]) ).

fof(f921,definition,
    ( spl0_118
  <=> c1_1(a679) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f923,plain,
    ( ~ c1_1(a679)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f924,plain,
    ( ~ spl0_118
    | spl0_45 ),
    inference(avatar_split_clause,[],[f253,f544,f921]) ).

fof(f926,definition,
    ( spl0_119
  <=> c2_1(a680) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f929,plain,
    ( spl0_119
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f79,f583,f926]) ).

fof(f931,definition,
    ( spl0_120
  <=> c3_1(a681) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f933,plain,
    ( c3_1(a681)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f934,plain,
    ( spl0_120
    | spl0_35 ),
    inference(avatar_split_clause,[],[f252,f495,f931]) ).

fof(f936,definition,
    ( spl0_121
  <=> c2_1(a681) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f938,plain,
    ( c2_1(a681)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f939,plain,
    ( spl0_121
    | spl0_35 ),
    inference(avatar_split_clause,[],[f251,f495,f936]) ).

fof(f941,definition,
    ( spl0_122
  <=> c3_1(a683) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f943,plain,
    ( c3_1(a683)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f944,plain,
    ( spl0_122
    | spl0_49 ),
    inference(avatar_split_clause,[],[f250,f562,f941]) ).

fof(f946,definition,
    ( spl0_123
  <=> c0_1(a683) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f949,plain,
    ( spl0_123
    | spl0_49 ),
    inference(avatar_split_clause,[],[f249,f562,f946]) ).

fof(f951,definition,
    ( spl0_124
  <=> c3_1(a684) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f953,plain,
    ( c3_1(a684)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f954,plain,
    ( spl0_124
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f74,f500,f951]) ).

fof(f956,definition,
    ( spl0_125
  <=> c1_1(a688) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f958,plain,
    ( ~ c1_1(a688)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f959,plain,
    ( ~ spl0_125
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f248,f510,f956]) ).

fof(f961,definition,
    ( spl0_126
  <=> c0_1(a688) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f964,plain,
    ( spl0_126
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f72,f510,f961]) ).

fof(f966,definition,
    ( spl0_127
  <=> c2_1(a696) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f969,plain,
    ( spl0_127
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f71,f600,f966]) ).

fof(f971,definition,
    ( spl0_128
  <=> c0_1(a696) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f974,plain,
    ( spl0_128
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f70,f600,f971]) ).

fof(f976,definition,
    ( spl0_129
  <=> c2_1(a700) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f979,plain,
    ( spl0_129
    | spl0_25 ),
    inference(avatar_split_clause,[],[f247,f450,f976]) ).

fof(f981,definition,
    ( spl0_130
  <=> c3_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f983,plain,
    ( c3_1(a702)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f984,plain,
    ( spl0_130
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f68,f468,f981]) ).

fof(f986,definition,
    ( spl0_131
  <=> c2_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f988,plain,
    ( c2_1(a702)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f989,plain,
    ( spl0_131
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f67,f468,f986]) ).

fof(f991,definition,
    ( spl0_132
  <=> c1_1(a703) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f993,plain,
    ( ~ c1_1(a703)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f991]) ).

fof(f994,plain,
    ( ~ spl0_132
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f246,f484,f991]) ).

fof(f996,definition,
    ( spl0_133
  <=> c3_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f999,plain,
    ( spl0_133
    | spl0_41 ),
    inference(avatar_split_clause,[],[f245,f524,f996]) ).

fof(f1001,definition,
    ( spl0_134
  <=> c2_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1004,plain,
    ( spl0_134
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f64,f476,f1001]) ).

fof(f1006,definition,
    ( spl0_135
  <=> c1_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1008,plain,
    ( ~ c1_1(a710)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f1009,plain,
    ( ~ spl0_135
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f244,f476,f1006]) ).

fof(f1011,definition,
    ( spl0_136
  <=> c1_1(a711) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1013,plain,
    ( ~ c1_1(a711)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f1011]) ).

fof(f1014,plain,
    ( ~ spl0_136
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f243,f617,f1011]) ).

fof(f1016,definition,
    ( spl0_137
  <=> c0_1(a711) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1019,plain,
    ( spl0_137
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f61,f617,f1016]) ).

fof(f1021,definition,
    ( spl0_138
  <=> c0_1(a715) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1024,plain,
    ( spl0_138
    | spl0_23 ),
    inference(avatar_split_clause,[],[f242,f442,f1021]) ).

fof(f1026,definition,
    ( spl0_139
  <=> c2_1(a716) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1029,plain,
    ( spl0_139
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f59,f628,f1026]) ).

fof(f1031,definition,
    ( spl0_140
  <=> c1_1(a716) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1033,plain,
    ( ~ c1_1(a716)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1034,plain,
    ( ~ spl0_140
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f241,f628,f1031]) ).

fof(f1036,definition,
    ( spl0_141
  <=> c2_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1039,plain,
    ( spl0_141
    | spl0_28 ),
    inference(avatar_split_clause,[],[f240,f463,f1036]) ).

fof(f1041,definition,
    ( spl0_142
  <=> c0_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1044,plain,
    ( spl0_142
    | spl0_28 ),
    inference(avatar_split_clause,[],[f239,f463,f1041]) ).

fof(f1046,definition,
    ( spl0_143
  <=> c0_1(a731) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1049,plain,
    ( spl0_143
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f55,f596,f1046]) ).

fof(f1051,definition,
    ( spl0_144
  <=> c1_1(a762) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1053,plain,
    ( ~ c1_1(a762)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f1051]) ).

fof(f1054,plain,
    ( ~ spl0_144
    | spl0_106 ),
    inference(avatar_split_clause,[],[f238,f862,f1051]) ).

fof(f1056,definition,
    ( spl0_145
  <=> c2_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1059,plain,
    ( spl0_145
    | spl0_43 ),
    inference(avatar_split_clause,[],[f237,f533,f1056]) ).

fof(f1061,definition,
    ( spl0_146
  <=> c1_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1063,plain,
    ( ~ c1_1(a676)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f1064,plain,
    ( ~ spl0_146
    | spl0_43 ),
    inference(avatar_split_clause,[],[f236,f533,f1061]) ).

fof(f1066,definition,
    ( spl0_147
  <=> c0_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1069,plain,
    ( spl0_147
    | spl0_43 ),
    inference(avatar_split_clause,[],[f235,f533,f1066]) ).

fof(f1071,definition,
    ( spl0_148
  <=> c3_1(a678) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1073,plain,
    ( c3_1(a678)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f1071]) ).

fof(f1074,plain,
    ( spl0_148
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f50,f505,f1071]) ).

fof(f1076,definition,
    ( spl0_149
  <=> c1_1(a678) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1078,plain,
    ( ~ c1_1(a678)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f1076]) ).

fof(f1079,plain,
    ( ~ spl0_149
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f234,f505,f1076]) ).

fof(f1081,definition,
    ( spl0_150
  <=> c0_1(a678) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1084,plain,
    ( spl0_150
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f48,f505,f1081]) ).

fof(f1086,definition,
    ( spl0_151
  <=> c3_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1089,plain,
    ( spl0_151
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f47,f612,f1086]) ).

fof(f1091,definition,
    ( spl0_152
  <=> c2_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1094,plain,
    ( spl0_152
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f46,f612,f1091]) ).

fof(f1096,definition,
    ( spl0_153
  <=> c1_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1098,plain,
    ( ~ c1_1(a725)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1096]) ).

fof(f1099,plain,
    ( ~ spl0_153
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f233,f612,f1096]) ).

fof(f1101,definition,
    ( spl0_154
  <=> c3_1(a753) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1103,plain,
    ( c3_1(a753)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1101]) ).

fof(f1105,definition,
    ( spl0_155
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1108,plain,
    ( spl0_154
    | spl0_155 ),
    inference(avatar_split_clause,[],[f232,f1105,f1101]) ).

fof(f1110,definition,
    ( spl0_156
  <=> c2_1(a753) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1113,plain,
    ( spl0_156
    | spl0_155 ),
    inference(avatar_split_clause,[],[f231,f1105,f1110]) ).

fof(f1115,definition,
    ( spl0_157
  <=> c0_1(a753) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1118,plain,
    ( spl0_157
    | spl0_155 ),
    inference(avatar_split_clause,[],[f230,f1105,f1115]) ).

fof(f1120,plain,
    ( ~ spl0_46
    | ~ spl0_45
    | spl0_61 ),
    inference(avatar_split_clause,[],[f228,f628,f544,f549]) ).

fof(f1121,plain,
    ( spl0_29
    | ~ spl0_46
    | spl0_58 ),
    inference(avatar_split_clause,[],[f227,f612,f549,f468]) ).

fof(f1123,plain,
    ( spl0_60
    | ~ spl0_23
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f225,f562,f442,f623]) ).

fof(f1124,plain,
    ( spl0_36
    | ~ spl0_106
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f224,f1105,f862,f500]) ).

fof(f1126,plain,
    ( spl0_53
    | spl0_31
    | spl0_37 ),
    inference(avatar_split_clause,[],[f34,f505,f476,f583]) ).

fof(f1127,plain,
    ( ~ spl0_49
    | ~ spl0_155
    | spl0_37 ),
    inference(avatar_split_clause,[],[f222,f505,f1105,f562]) ).

fof(f1128,plain,
    ( ~ spl0_41
    | spl0_56
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f221,f533,f596,f524]) ).

fof(f1140,plain,
    ( spl0_3
    | spl0_49 ),
    inference(avatar_split_clause,[],[f213,f562,f367]) ).

fof(f1157,plain,
    ( spl0_3
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f3,f505,f367]) ).

fof(f1159,plain,
    ( spl0_3
    | spl0_155 ),
    inference(avatar_split_clause,[],[f205,f1105,f367]) ).

fof(f1160,plain,
    ( ~ c3_1(a725)
    | ~ c2_1(a725)
    | ~ spl0_4
    | spl0_153 ),
    inference(resolution,[],[f372,f1098]) ).

fof(f1189,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(resolution,[],[f379,f376]) ).

fof(f1201,plain,
    ( c3_1(a688)
    | ~ c0_1(a688)
    | ~ spl0_6
    | spl0_125 ),
    inference(resolution,[],[f379,f958]) ).

fof(f1210,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f1189]) ).

fof(f1212,definition,
    ( spl0_159
  <=> c0_1(a668) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1222,definition,
    ( spl0_161
  <=> c0_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1227,definition,
    ( spl0_162
  <=> c0_1(a716) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1240,plain,
    ( ~ c0_1(a731)
    | ~ spl0_5
    | ~ spl0_6
    | spl0_100 ),
    inference(resolution,[],[f1210,f835]) ).

fof(f1242,plain,
    ( ~ c0_1(a715)
    | ~ spl0_5
    | ~ spl0_6
    | spl0_96 ),
    inference(resolution,[],[f1210,f815]) ).

fof(f1265,plain,
    ( ~ c2_1(a700)
    | c0_1(a700)
    | ~ spl0_7
    | spl0_87 ),
    inference(resolution,[],[f383,f770]) ).

fof(f1284,definition,
    ( spl0_165
  <=> c2_1(a670) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1294,definition,
    ( spl0_167
  <=> c2_1(a679) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1310,definition,
    ( spl0_170
  <=> c2_1(a762) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1315,definition,
    ( spl0_171
  <=> c2_1(a678) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1333,plain,
    ( c0_1(a679)
    | ~ c3_1(a679)
    | ~ spl0_8
    | spl0_118 ),
    inference(resolution,[],[f386,f923]) ).

fof(f1356,definition,
    ( spl0_175
  <=> c3_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1361,definition,
    ( spl0_176
  <=> c3_1(a711) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1363,plain,
    ( ~ c3_1(a711)
    | spl0_176 ),
    inference(avatar_component_clause,[],[f1361]) ).

fof(f1366,definition,
    ( spl0_177
  <=> c3_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1367,plain,
    ( c3_1(a730)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1366]) ).

fof(f1368,plain,
    ( ~ c3_1(a730)
    | spl0_177 ),
    inference(avatar_component_clause,[],[f1366]) ).

fof(f1371,definition,
    ( spl0_178
  <=> c3_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1373,plain,
    ( ~ c3_1(a676)
    | spl0_178 ),
    inference(avatar_component_clause,[],[f1371]) ).

fof(f1379,plain,
    ( ~ c0_1(a711)
    | ~ spl0_5
    | ~ spl0_6
    | spl0_176 ),
    inference(resolution,[],[f1363,f1210]) ).

fof(f1383,plain,
    ( ~ c3_1(a678)
    | ~ c0_1(a678)
    | ~ spl0_9
    | spl0_149 ),
    inference(resolution,[],[f389,f1078]) ).

fof(f1413,plain,
    ( c2_1(a703)
    | c0_1(a703)
    | ~ spl0_10
    | spl0_132 ),
    inference(resolution,[],[f393,f993]) ).

fof(f1416,plain,
    ( c2_1(a679)
    | c0_1(a679)
    | ~ spl0_10
    | spl0_118 ),
    inference(resolution,[],[f393,f923]) ).

fof(f1421,plain,
    ( c2_1(a668)
    | c0_1(a668)
    | ~ spl0_10
    | spl0_109 ),
    inference(resolution,[],[f393,f878]) ).

fof(f1424,plain,
    ( spl0_159
    | spl0_63
    | ~ spl0_10
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1421,f876,f392,f648,f1212]) ).

fof(f1429,plain,
    ( spl0_78
    | spl0_167
    | ~ spl0_10
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1416,f921,f392,f1294,f723]) ).

fof(f1432,plain,
    ( spl0_91
    | spl0_90
    | ~ spl0_10
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1413,f991,f392,f783,f788]) ).

fof(f1455,plain,
    ( c3_1(a731)
    | ~ c0_1(a731)
    | ~ spl0_5
    | ~ spl0_101 ),
    inference(resolution,[],[f840,f376]) ).

fof(f1478,plain,
    ( ~ c0_1(a702)
    | ~ c2_1(a702)
    | ~ spl0_12
    | ~ spl0_130 ),
    inference(resolution,[],[f399,f983]) ).

fof(f1485,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(resolution,[],[f411,f379]) ).

fof(f1489,plain,
    ( c3_1(a730)
    | ~ c2_1(a730)
    | ~ spl0_15
    | ~ spl0_99 ),
    inference(resolution,[],[f411,f830]) ).

fof(f1493,plain,
    ( c3_1(a680)
    | ~ c2_1(a680)
    | ~ spl0_15
    | ~ spl0_80 ),
    inference(resolution,[],[f411,f735]) ).

fof(f1500,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f1485]) ).

fof(f1501,plain,
    ( ~ spl0_119
    | spl0_79
    | ~ spl0_15
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1493,f733,f410,f728,f926]) ).

fof(f1509,plain,
    ( c2_1(a683)
    | ~ c0_1(a683)
    | ~ spl0_16
    | ~ spl0_122 ),
    inference(resolution,[],[f414,f943]) ).

fof(f1528,plain,
    ( spl0_17
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1500,f410,f378,f416]) ).

fof(f1534,plain,
    ( ~ c3_1(a678)
    | ~ c2_1(a678)
    | ~ spl0_4
    | spl0_149 ),
    inference(resolution,[],[f1078,f372]) ).

fof(f1536,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(resolution,[],[f362,f411]) ).

fof(f1540,plain,
    ( c0_1(a762)
    | ~ c2_1(a762)
    | ~ spl0_1
    | spl0_144 ),
    inference(resolution,[],[f362,f1053]) ).

fof(f1543,plain,
    ( c0_1(a710)
    | ~ c2_1(a710)
    | ~ spl0_1
    | spl0_135 ),
    inference(resolution,[],[f362,f1008]) ).

fof(f1545,plain,
    ( c0_1(a679)
    | ~ c2_1(a679)
    | ~ spl0_1
    | spl0_118 ),
    inference(resolution,[],[f362,f923]) ).

fof(f1549,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f1536]) ).

fof(f1559,plain,
    ( spl0_7
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1549,f410,f361,f382]) ).

fof(f1561,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(resolution,[],[f404,f393]) ).

fof(f1563,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(resolution,[],[f404,f372]) ).

fof(f1572,plain,
    ( ~ c3_1(a670)
    | c0_1(a670)
    | ~ spl0_13
    | ~ spl0_66 ),
    inference(resolution,[],[f404,f665]) ).

fof(f1575,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f1563]) ).

fof(f1577,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f1561]) ).

fof(f1582,plain,
    ( spl0_2
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1575,f403,f371,f364]) ).

fof(f1596,plain,
    ( spl0_48
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1577,f403,f392,f558]) ).

fof(f1603,plain,
    ( c0_1(a681)
    | ~ c2_1(a681)
    | ~ spl0_2
    | ~ spl0_120 ),
    inference(resolution,[],[f365,f933]) ).

fof(f1617,plain,
    ( c3_1(a711)
    | ~ c0_1(a711)
    | ~ spl0_6
    | spl0_136 ),
    inference(resolution,[],[f379,f1013]) ).

fof(f1627,plain,
    ( ~ c3_1(a676)
    | ~ c0_1(a676)
    | ~ spl0_9
    | spl0_146 ),
    inference(resolution,[],[f389,f1063]) ).

fof(f1629,plain,
    ( ~ c3_1(a711)
    | ~ c0_1(a711)
    | ~ spl0_9
    | spl0_136 ),
    inference(resolution,[],[f389,f1013]) ).

fof(f1640,plain,
    ( ~ c0_1(a676)
    | ~ c2_1(a676)
    | ~ spl0_17
    | spl0_178 ),
    inference(resolution,[],[f417,f1373]) ).

fof(f1643,plain,
    ( ~ c0_1(a730)
    | ~ c2_1(a730)
    | ~ spl0_17
    | spl0_177 ),
    inference(resolution,[],[f417,f1368]) ).

fof(f1644,plain,
    ( ~ c0_1(a716)
    | ~ c2_1(a716)
    | ~ spl0_17
    | spl0_98 ),
    inference(resolution,[],[f417,f825]) ).

fof(f1651,plain,
    ( ~ c0_1(a696)
    | ~ c2_1(a696)
    | ~ spl0_17
    | spl0_86 ),
    inference(resolution,[],[f417,f765]) ).

fof(f1673,plain,
    ( ~ c0_1(a715)
    | c2_1(a715)
    | ~ spl0_18
    | spl0_96 ),
    inference(resolution,[],[f422,f815]) ).

fof(f1691,plain,
    ( spl0_97
    | ~ spl0_138
    | ~ spl0_18
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1673,f813,f421,f1021,f818]) ).

fof(f1700,plain,
    ( c2_1(a711)
    | ~ c0_1(a711)
    | ~ spl0_14
    | spl0_136 ),
    inference(resolution,[],[f407,f1013]) ).

fof(f1705,plain,
    ( c2_1(a668)
    | ~ c0_1(a668)
    | ~ spl0_14
    | spl0_109 ),
    inference(resolution,[],[f407,f878]) ).

fof(f1707,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(resolution,[],[f426,f411]) ).

fof(f1710,plain,
    ( c3_1(a716)
    | c0_1(a716)
    | ~ spl0_19
    | spl0_140 ),
    inference(resolution,[],[f426,f1033]) ).

fof(f1717,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(duplicate_literal_removal,[],[f1707]) ).

fof(f1728,plain,
    ( spl0_7
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1717,f425,f410,f382]) ).

fof(f1733,plain,
    ( ~ spl0_159
    | spl0_63
    | ~ spl0_14
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1705,f876,f406,f648,f1212]) ).

fof(f1737,plain,
    ( ~ spl0_131
    | ~ spl0_161
    | ~ spl0_12
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1478,f981,f398,f1222,f986]) ).

fof(f1740,plain,
    ( ~ spl0_141
    | ~ spl0_142
    | ~ spl0_17
    | spl0_177 ),
    inference(avatar_split_clause,[],[f1643,f1366,f416,f1041,f1036]) ).

fof(f1789,plain,
    ( ~ c0_1(a753)
    | ~ c2_1(a753)
    | ~ spl0_12
    | ~ spl0_154 ),
    inference(resolution,[],[f399,f1103]) ).

fof(f1791,plain,
    ( ~ c0_1(a730)
    | ~ c2_1(a730)
    | ~ spl0_12
    | ~ spl0_177 ),
    inference(resolution,[],[f399,f1367]) ).

fof(f1795,plain,
    ( ~ spl0_141
    | ~ spl0_142
    | ~ spl0_12
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1791,f1366,f398,f1041,f1036]) ).

fof(f1797,plain,
    ( ~ spl0_156
    | ~ spl0_157
    | ~ spl0_12
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1789,f1101,f398,f1115,f1110]) ).

fof(f1814,plain,
    ( c0_1(a702)
    | ~ c2_1(a702)
    | ~ spl0_2
    | ~ spl0_130 ),
    inference(resolution,[],[f983,f365]) ).

fof(f1819,plain,
    ( c2_1(a762)
    | c0_1(a762)
    | ~ spl0_10
    | spl0_144 ),
    inference(resolution,[],[f1053,f393]) ).

fof(f1822,plain,
    ( c2_1(a678)
    | ~ c0_1(a678)
    | ~ spl0_16
    | ~ spl0_148 ),
    inference(resolution,[],[f1073,f414]) ).

fof(f1829,plain,
    ( ~ c3_1(a676)
    | ~ c2_1(a676)
    | ~ spl0_4
    | spl0_146 ),
    inference(resolution,[],[f372,f1063]) ).

fof(f1833,plain,
    ( ~ c3_1(a710)
    | ~ c2_1(a710)
    | ~ spl0_4
    | spl0_135 ),
    inference(resolution,[],[f372,f1008]) ).

fof(f1835,plain,
    ( ~ c3_1(a679)
    | ~ c2_1(a679)
    | ~ spl0_4
    | spl0_118 ),
    inference(resolution,[],[f372,f923]) ).

fof(f1845,plain,
    ( c2_1(a711)
    | ~ c3_1(a711)
    | ~ spl0_20
    | spl0_136 ),
    inference(resolution,[],[f429,f1013]) ).

fof(f1849,plain,
    ( c2_1(a675)
    | ~ c3_1(a675)
    | ~ spl0_20
    | spl0_116 ),
    inference(resolution,[],[f429,f913]) ).

fof(f1853,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(resolution,[],[f433,f372]) ).

fof(f1874,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f1853]) ).

fof(f1879,plain,
    ( spl0_12
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f1874,f432,f371,f398]) ).

fof(f1882,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(resolution,[],[f438,f386]) ).

fof(f1896,plain,
    ( ~ c2_1(a670)
    | c0_1(a670)
    | ~ spl0_22
    | ~ spl0_66 ),
    inference(resolution,[],[f438,f665]) ).

fof(f1901,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f1882]) ).

fof(f1905,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_15
    | ~ spl0_24 ),
    inference(resolution,[],[f447,f411]) ).

fof(f1908,plain,
    ( c3_1(a716)
    | ~ c2_1(a716)
    | ~ spl0_24
    | spl0_140 ),
    inference(resolution,[],[f447,f1033]) ).

fof(f1910,plain,
    ( c3_1(a710)
    | ~ c2_1(a710)
    | ~ spl0_24
    | spl0_135 ),
    inference(resolution,[],[f447,f1008]) ).

fof(f1915,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_15
    | ~ spl0_24 ),
    inference(duplicate_literal_removal,[],[f1905]) ).

fof(f1932,plain,
    ( c3_1(a711)
    | c2_1(a711)
    | ~ spl0_27
    | spl0_136 ),
    inference(resolution,[],[f460,f1013]) ).

fof(f1937,plain,
    ( c3_1(a668)
    | c2_1(a668)
    | ~ spl0_27
    | spl0_109 ),
    inference(resolution,[],[f460,f878]) ).

fof(f1941,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(resolution,[],[f473,f386]) ).

fof(f1942,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(resolution,[],[f473,f393]) ).

fof(f1943,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(resolution,[],[f473,f407]) ).

fof(f1944,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_20
    | ~ spl0_30 ),
    inference(resolution,[],[f473,f429]) ).

fof(f1950,plain,
    ( c2_1(a708)
    | ~ c3_1(a708)
    | ~ spl0_30
    | ~ spl0_93 ),
    inference(resolution,[],[f473,f800]) ).

fof(f1956,plain,
    ( c2_1(a670)
    | ~ c3_1(a670)
    | ~ spl0_30
    | ~ spl0_66 ),
    inference(resolution,[],[f473,f665]) ).

fof(f1961,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f1944]) ).

fof(f1962,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f1943]) ).

fof(f1963,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f1942]) ).

fof(f1964,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f1941]) ).

fof(f1977,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_27
    | ~ spl0_32 ),
    inference(resolution,[],[f481,f460]) ).

fof(f1989,plain,
    ( c2_1(a669)
    | ~ c0_1(a669)
    | ~ spl0_32
    | ~ spl0_65 ),
    inference(resolution,[],[f481,f660]) ).

fof(f1992,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_27
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f1977]) ).

fof(f1997,plain,
    ( ~ spl0_110
    | spl0_64
    | ~ spl0_32
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1989,f658,f480,f653,f881]) ).

fof(f2000,plain,
    ( spl0_18
    | ~ spl0_27
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1992,f480,f459,f421]) ).

fof(f2003,plain,
    ( ~ spl0_143
    | ~ spl0_5
    | ~ spl0_6
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1240,f833,f378,f375,f1046]) ).

fof(f2004,plain,
    ( ~ spl0_138
    | ~ spl0_5
    | ~ spl0_6
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1242,f813,f378,f375,f1021]) ).

fof(f2008,plain,
    ( spl0_88
    | ~ spl0_129
    | ~ spl0_7
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1265,f768,f382,f976,f773]) ).

fof(f2031,plain,
    ( ~ spl0_117
    | spl0_78
    | ~ spl0_8
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1333,f921,f385,f723,f916]) ).

fof(f2032,plain,
    ( spl0_2
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f1901,f437,f385,f364]) ).

fof(f2034,plain,
    ( ~ spl0_131
    | spl0_161
    | ~ spl0_2
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1814,f981,f364,f1222,f986]) ).

fof(f2036,plain,
    ( ~ spl0_152
    | ~ spl0_151
    | ~ spl0_4
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1160,f1096,f371,f1086,f1091]) ).

fof(f2044,plain,
    ( ~ spl0_167
    | ~ spl0_117
    | ~ spl0_4
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1835,f921,f371,f916,f1294]) ).

fof(f2074,plain,
    ( ~ spl0_137
    | ~ spl0_5
    | ~ spl0_6
    | spl0_176 ),
    inference(avatar_split_clause,[],[f1379,f1361,f378,f375,f1016]) ).

fof(f2084,plain,
    ( c2_1(a678)
    | ~ c3_1(a678)
    | ~ spl0_20
    | spl0_149 ),
    inference(resolution,[],[f1078,f429]) ).

fof(f2091,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(resolution,[],[f362,f438]) ).

fof(f2098,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f2091]) ).

fof(f2119,plain,
    ( ~ c2_1(a696)
    | ~ spl0_15
    | ~ spl0_24
    | spl0_86 ),
    inference(resolution,[],[f1915,f765]) ).

fof(f2146,plain,
    ( c2_1(a684)
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_124 ),
    inference(resolution,[],[f1961,f953]) ).

fof(f2147,plain,
    ( c2_1(a683)
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_122 ),
    inference(resolution,[],[f1961,f943]) ).

fof(f2152,plain,
    ( spl0_82
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2147,f941,f472,f428,f743]) ).

fof(f2153,plain,
    ( spl0_83
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2146,f951,f472,f428,f748]) ).

fof(f2162,plain,
    ( ~ spl0_150
    | ~ spl0_148
    | ~ spl0_9
    | spl0_149 ),
    inference(avatar_split_clause,[],[f1383,f1076,f388,f1071,f1081]) ).

fof(f2170,plain,
    ( spl0_16
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1962,f472,f406,f413]) ).

fof(f2179,plain,
    ( ~ spl0_127
    | ~ spl0_15
    | ~ spl0_24
    | spl0_86 ),
    inference(avatar_split_clause,[],[f2119,f763,f446,f410,f966]) ).

fof(f2182,plain,
    ( ~ spl0_147
    | ~ spl0_178
    | ~ spl0_9
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1627,f1061,f388,f1371,f1066]) ).

fof(f2183,plain,
    ( ~ spl0_137
    | ~ spl0_176
    | ~ spl0_9
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1629,f1011,f388,f1361,f1016]) ).

fof(f2185,plain,
    ( ~ spl0_176
    | spl0_95
    | ~ spl0_20
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1845,f1011,f428,f808,f1361]) ).

fof(f2188,plain,
    ( ~ spl0_145
    | ~ spl0_147
    | ~ spl0_17
    | spl0_178 ),
    inference(avatar_split_clause,[],[f1640,f1371,f416,f1066,f1056]) ).

fof(f2191,plain,
    ( ~ spl0_121
    | spl0_81
    | ~ spl0_2
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1603,f931,f364,f738,f936]) ).

fof(f2194,plain,
    ( spl0_95
    | spl0_176
    | ~ spl0_27
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1932,f1011,f459,f1361,f808]) ).

fof(f2196,plain,
    ( spl0_63
    | spl0_62
    | ~ spl0_27
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1937,f876,f459,f643,f648]) ).

fof(f2198,plain,
    ( ~ spl0_137
    | spl0_176
    | ~ spl0_6
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1617,f1011,f378,f1361,f1016]) ).

fof(f2201,plain,
    ( ~ spl0_137
    | spl0_95
    | ~ spl0_14
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1700,f1011,f406,f808,f1016]) ).

fof(f2206,plain,
    ( ~ spl0_123
    | spl0_82
    | ~ spl0_16
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1509,f941,f413,f743,f946]) ).

fof(f2216,plain,
    ( ~ spl0_133
    | spl0_92
    | ~ spl0_30
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1950,f798,f472,f793,f996]) ).

fof(f2218,plain,
    ( ~ spl0_111
    | spl0_165
    | ~ spl0_30
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1956,f663,f472,f1284,f886]) ).

fof(f2220,plain,
    ( ~ spl0_126
    | spl0_85
    | ~ spl0_6
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1201,f956,f378,f758,f961]) ).

fof(f2227,plain,
    ( spl0_67
    | ~ spl0_165
    | ~ spl0_22
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1896,f663,f437,f1284,f668]) ).

fof(f2232,plain,
    ( ~ spl0_170
    | spl0_108
    | ~ spl0_1
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1540,f1051,f361,f871,f1310]) ).

fof(f2235,plain,
    ( ~ spl0_134
    | spl0_94
    | ~ spl0_1
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1543,f1006,f361,f803,f1001]) ).

fof(f2236,plain,
    ( ~ spl0_167
    | spl0_78
    | ~ spl0_1
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1545,f921,f361,f723,f1294]) ).

fof(f2242,plain,
    ( ~ spl0_143
    | spl0_100
    | ~ spl0_5
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1455,f838,f375,f833,f1046]) ).

fof(f2244,plain,
    ( spl0_67
    | ~ spl0_111
    | ~ spl0_13
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1572,f663,f403,f886,f668]) ).

fof(f2248,plain,
    ( ~ spl0_139
    | spl0_98
    | ~ spl0_24
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1908,f1031,f446,f823,f1026]) ).

fof(f2250,plain,
    ( ~ spl0_134
    | spl0_175
    | ~ spl0_24
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1910,f1006,f446,f1356,f1001]) ).

fof(f2257,plain,
    ( ~ spl0_171
    | ~ spl0_148
    | ~ spl0_4
    | spl0_149 ),
    inference(avatar_split_clause,[],[f1534,f1076,f371,f1071,f1315]) ).

fof(f2258,plain,
    ( ~ spl0_145
    | ~ spl0_178
    | ~ spl0_4
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1829,f1061,f371,f1371,f1056]) ).

fof(f2259,plain,
    ( ~ spl0_134
    | ~ spl0_175
    | ~ spl0_4
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1833,f1006,f371,f1356,f1001]) ).

fof(f2263,plain,
    ( spl0_108
    | spl0_170
    | ~ spl0_10
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1819,f1051,f392,f1310,f871]) ).

fof(f2264,plain,
    ( ~ spl0_141
    | spl0_177
    | ~ spl0_15
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1489,f828,f410,f1366,f1036]) ).

fof(f2266,plain,
    ( spl0_162
    | spl0_98
    | ~ spl0_19
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1710,f1031,f425,f823,f1227]) ).

fof(f2302,plain,
    ( c0_1(a702)
    | ~ spl0_1
    | ~ spl0_22
    | ~ spl0_131 ),
    inference(resolution,[],[f2098,f988]) ).

fof(f2306,plain,
    ( c0_1(a681)
    | ~ spl0_1
    | ~ spl0_22
    | ~ spl0_121 ),
    inference(resolution,[],[f2098,f938]) ).

fof(f2309,plain,
    ( spl0_81
    | ~ spl0_1
    | ~ spl0_22
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2306,f936,f437,f361,f738]) ).

fof(f2310,plain,
    ( spl0_161
    | ~ spl0_1
    | ~ spl0_22
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2302,f986,f437,f361,f1222]) ).

fof(f2357,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(resolution,[],[f396,f362]) ).

fof(f2364,plain,
    ( ~ c2_1(a702)
    | ~ c3_1(a702)
    | ~ spl0_11
    | ~ spl0_89 ),
    inference(resolution,[],[f396,f780]) ).

fof(f2374,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f2357]) ).

fof(f2386,plain,
    ( ~ c0_1(a678)
    | ~ c2_1(a678)
    | ~ spl0_12
    | ~ spl0_148 ),
    inference(resolution,[],[f399,f1073]) ).

fof(f2412,plain,
    ( c3_1(a762)
    | c0_1(a762)
    | ~ spl0_19
    | spl0_144 ),
    inference(resolution,[],[f426,f1053]) ).

fof(f2545,plain,
    ( c2_1(a684)
    | c0_1(a684)
    | ~ spl0_48
    | ~ spl0_124 ),
    inference(resolution,[],[f559,f953]) ).

fof(f2550,plain,
    ( spl0_48
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1963,f472,f392,f558]) ).

fof(f2551,plain,
    ( spl0_48
    | ~ spl0_8
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1964,f472,f385,f558]) ).

fof(f2552,plain,
    ( spl0_84
    | spl0_83
    | ~ spl0_48
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2545,f951,f558,f748,f753]) ).

fof(f2553,plain,
    ( spl0_108
    | spl0_107
    | ~ spl0_19
    | spl0_144 ),
    inference(avatar_split_clause,[],[f2412,f1051,f425,f866,f871]) ).

fof(f2557,plain,
    ( ~ spl0_139
    | ~ spl0_162
    | ~ spl0_17
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1644,f823,f416,f1227,f1026]) ).

fof(f2561,plain,
    ( ~ spl0_127
    | ~ spl0_128
    | ~ spl0_17
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1651,f763,f416,f971,f966]) ).

fof(f2563,plain,
    ( ~ spl0_115
    | spl0_77
    | ~ spl0_20
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1849,f911,f428,f718,f906]) ).

fof(f2565,plain,
    ( ~ spl0_150
    | spl0_171
    | ~ spl0_16
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1822,f1071,f413,f1315,f1081]) ).

fof(f2571,plain,
    ( ~ spl0_148
    | spl0_171
    | ~ spl0_20
    | spl0_149 ),
    inference(avatar_split_clause,[],[f2084,f1076,f428,f1315,f1071]) ).

fof(f2572,plain,
    ( ~ spl0_171
    | ~ spl0_150
    | ~ spl0_12
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2386,f1071,f398,f1081,f1315]) ).

fof(f2574,plain,
    ( spl0_2
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f2374,f395,f361,f364]) ).

fof(f2575,plain,
    ( ~ spl0_130
    | ~ spl0_131
    | ~ spl0_11
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2364,f778,f395,f986,f981]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_8
    | spl0_10 ),
    inference(sat_conversion,[],[f401]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f408]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_5
    | spl0_15 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s9,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_14
    | spl0_18 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s11,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_10
    | spl0_21 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_13
    | spl0_16 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_20
    | spl0_22 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_12 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s16,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_9
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f474]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_8
    | spl0_29 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s24,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_6
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_22
    | spl0_37 ),
    inference(sat_conversion,[],[f508]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_15
    | spl0_38 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_30
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s32,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_30
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_19
    | spl0_36 ),
    inference(sat_conversion,[],[f542]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_16
    | ~ spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_13
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_27
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f566]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_22
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | ~ spl0_23
    | spl0_24
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_56
    | spl0_57 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_33
    | spl0_57 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_20
    | ~ spl0_35
    | spl0_37 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s52,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_31
    | spl0_56 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s53,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_29
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s55,plain,
    ( ~ spl0_3
    | spl0_15
    | ~ spl0_43
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | spl0_5
    | ~ spl0_25
    | spl0_58 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s57,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_31
    | spl0_59 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s58,plain,
    ( ~ spl0_3
    | spl0_30
    | ~ spl0_46
    | spl0_59 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | ~ spl0_23
    | spl0_32
    | spl0_61 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s62,plain,
    ( ~ spl0_3
    | spl0_32
    | spl0_38
    | spl0_59 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s64,plain,
    ( ~ spl0_3
    | spl0_22
    | ~ spl0_35
    | spl0_60 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s65,plain,
    ( ~ spl0_3
    | spl0_22
    | ~ spl0_45
    | spl0_53 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s71,plain,
    ( spl0_46
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s72,plain,
    ( spl0_46
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s73,plain,
    ( spl0_55
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s74,plain,
    ( spl0_55
    | spl0_65 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s75,plain,
    ( ~ spl0_60
    | spl0_66 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s76,plain,
    ( ~ spl0_60
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s86,plain,
    ( spl0_47
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s87,plain,
    ( spl0_45
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s88,plain,
    ( ~ spl0_53
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s89,plain,
    ( ~ spl0_53
    | spl0_80 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s90,plain,
    ( spl0_35
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s91,plain,
    ( spl0_49
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s92,plain,
    ( ~ spl0_36
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s93,plain,
    ( ~ spl0_36
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s94,plain,
    ( ~ spl0_38
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s95,plain,
    ( ~ spl0_57
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s96,plain,
    ( spl0_25
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s97,plain,
    ( spl0_25
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s98,plain,
    ( ~ spl0_29
    | spl0_89 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s99,plain,
    ( ~ spl0_33
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s100,plain,
    ( ~ spl0_33
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s101,plain,
    ( spl0_41
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f796]) ).

cnf(s102,plain,
    ( spl0_41
    | spl0_93 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s103,plain,
    ( ~ spl0_31
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s104,plain,
    ( ~ spl0_59
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s105,plain,
    ( spl0_23
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s106,plain,
    ( spl0_23
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s107,plain,
    ( ~ spl0_61
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s108,plain,
    ( spl0_28
    | spl0_99 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s109,plain,
    ( ~ spl0_56
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s110,plain,
    ( ~ spl0_56
    | spl0_101 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s114,plain,
    ( spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s115,plain,
    ( spl0_106
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s116,plain,
    ( spl0_46
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s117,plain,
    ( spl0_55
    | spl0_110 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s118,plain,
    ( ~ spl0_60
    | spl0_111 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s122,plain,
    ( spl0_47
    | spl0_115 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s123,plain,
    ( spl0_47
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s124,plain,
    ( spl0_45
    | spl0_117 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s125,plain,
    ( spl0_45
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s126,plain,
    ( ~ spl0_53
    | spl0_119 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s127,plain,
    ( spl0_35
    | spl0_120 ),
    inference(sat_conversion,[],[f934]) ).

cnf(s128,plain,
    ( spl0_35
    | spl0_121 ),
    inference(sat_conversion,[],[f939]) ).

cnf(s129,plain,
    ( spl0_49
    | spl0_122 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s130,plain,
    ( spl0_49
    | spl0_123 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s131,plain,
    ( ~ spl0_36
    | spl0_124 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s132,plain,
    ( ~ spl0_38
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s133,plain,
    ( ~ spl0_38
    | spl0_126 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s134,plain,
    ( ~ spl0_57
    | spl0_127 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s135,plain,
    ( ~ spl0_57
    | spl0_128 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s136,plain,
    ( spl0_25
    | spl0_129 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s137,plain,
    ( ~ spl0_29
    | spl0_130 ),
    inference(sat_conversion,[],[f984]) ).

cnf(s138,plain,
    ( ~ spl0_29
    | spl0_131 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s139,plain,
    ( ~ spl0_33
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f994]) ).

cnf(s140,plain,
    ( spl0_41
    | spl0_133 ),
    inference(sat_conversion,[],[f999]) ).

cnf(s141,plain,
    ( ~ spl0_31
    | spl0_134 ),
    inference(sat_conversion,[],[f1004]) ).

cnf(s142,plain,
    ( ~ spl0_31
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1009]) ).

cnf(s143,plain,
    ( ~ spl0_59
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1014]) ).

cnf(s144,plain,
    ( ~ spl0_59
    | spl0_137 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s145,plain,
    ( spl0_23
    | spl0_138 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s146,plain,
    ( ~ spl0_61
    | spl0_139 ),
    inference(sat_conversion,[],[f1029]) ).

cnf(s147,plain,
    ( ~ spl0_61
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s148,plain,
    ( spl0_28
    | spl0_141 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s149,plain,
    ( spl0_28
    | spl0_142 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s150,plain,
    ( ~ spl0_56
    | spl0_143 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s151,plain,
    ( spl0_106
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1054]) ).

cnf(s152,plain,
    ( spl0_43
    | spl0_145 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s153,plain,
    ( spl0_43
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s154,plain,
    ( spl0_43
    | spl0_147 ),
    inference(sat_conversion,[],[f1069]) ).

cnf(s155,plain,
    ( ~ spl0_37
    | spl0_148 ),
    inference(sat_conversion,[],[f1074]) ).

cnf(s156,plain,
    ( ~ spl0_37
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1079]) ).

cnf(s157,plain,
    ( ~ spl0_37
    | spl0_150 ),
    inference(sat_conversion,[],[f1084]) ).

cnf(s158,plain,
    ( ~ spl0_58
    | spl0_151 ),
    inference(sat_conversion,[],[f1089]) ).

cnf(s159,plain,
    ( ~ spl0_58
    | spl0_152 ),
    inference(sat_conversion,[],[f1094]) ).

cnf(s160,plain,
    ( ~ spl0_58
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1099]) ).

cnf(s161,plain,
    ( spl0_154
    | spl0_155 ),
    inference(sat_conversion,[],[f1108]) ).

cnf(s162,plain,
    ( spl0_155
    | spl0_156 ),
    inference(sat_conversion,[],[f1113]) ).

cnf(s163,plain,
    ( spl0_155
    | spl0_157 ),
    inference(sat_conversion,[],[f1118]) ).

cnf(s165,plain,
    ( ~ spl0_45
    | ~ spl0_46
    | spl0_61 ),
    inference(sat_conversion,[],[f1120]) ).

cnf(s166,plain,
    ( spl0_29
    | ~ spl0_46
    | spl0_58 ),
    inference(sat_conversion,[],[f1121]) ).

cnf(s168,plain,
    ( ~ spl0_23
    | ~ spl0_49
    | spl0_60 ),
    inference(sat_conversion,[],[f1123]) ).

cnf(s169,plain,
    ( spl0_36
    | ~ spl0_106
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1124]) ).

cnf(s171,plain,
    ( spl0_31
    | spl0_37
    | spl0_53 ),
    inference(sat_conversion,[],[f1126]) ).

cnf(s172,plain,
    ( spl0_37
    | ~ spl0_49
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1127]) ).

cnf(s173,plain,
    ( ~ spl0_41
    | ~ spl0_43
    | spl0_56 ),
    inference(sat_conversion,[],[f1128]) ).

cnf(s185,plain,
    ( spl0_3
    | spl0_49 ),
    inference(sat_conversion,[],[f1140]) ).

cnf(s202,plain,
    ( spl0_3
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f1157]) ).

cnf(s204,plain,
    ( spl0_3
    | spl0_155 ),
    inference(sat_conversion,[],[f1159]) ).

cnf(s228,plain,
    ( ~ spl0_10
    | spl0_63
    | spl0_109
    | spl0_159 ),
    inference(sat_conversion,[],[f1424]) ).

cnf(s233,plain,
    ( ~ spl0_10
    | spl0_78
    | spl0_118
    | spl0_167 ),
    inference(sat_conversion,[],[f1429]) ).

cnf(s236,plain,
    ( ~ spl0_10
    | spl0_90
    | spl0_91
    | spl0_132 ),
    inference(sat_conversion,[],[f1432]) ).

cnf(s257,plain,
    ( ~ spl0_15
    | spl0_79
    | ~ spl0_80
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1501]) ).

cnf(s269,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | spl0_17 ),
    inference(sat_conversion,[],[f1528]) ).

cnf(s280,plain,
    ( ~ spl0_1
    | spl0_7
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f1559]) ).

cnf(s285,plain,
    ( spl0_2
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f1582]) ).

cnf(s293,plain,
    ( ~ spl0_10
    | ~ spl0_13
    | spl0_48 ),
    inference(sat_conversion,[],[f1596]) ).

cnf(s297,plain,
    ( ~ spl0_18
    | spl0_96
    | spl0_97
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1691]) ).

cnf(s310,plain,
    ( spl0_7
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f1728]) ).

cnf(s317,plain,
    ( ~ spl0_14
    | spl0_63
    | spl0_109
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1733]) ).

cnf(s321,plain,
    ( ~ spl0_12
    | ~ spl0_130
    | ~ spl0_131
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1737]) ).

cnf(s324,plain,
    ( ~ spl0_17
    | ~ spl0_141
    | ~ spl0_142
    | spl0_177 ),
    inference(sat_conversion,[],[f1740]) ).

cnf(s336,plain,
    ( ~ spl0_12
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1795]) ).

cnf(s338,plain,
    ( ~ spl0_12
    | ~ spl0_154
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1797]) ).

cnf(s356,plain,
    ( ~ spl0_4
    | spl0_12
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f1879]) ).

cnf(s367,plain,
    ( ~ spl0_32
    | spl0_64
    | ~ spl0_65
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1997]) ).

cnf(s370,plain,
    ( spl0_18
    | ~ spl0_27
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f2000]) ).

cnf(s372,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_100
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f2003]) ).

cnf(s373,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_96
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f2004]) ).

cnf(s377,plain,
    ( ~ spl0_7
    | spl0_87
    | spl0_88
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2008]) ).

cnf(s399,plain,
    ( ~ spl0_8
    | spl0_78
    | ~ spl0_117
    | spl0_118 ),
    inference(sat_conversion,[],[f2031]) ).

cnf(s400,plain,
    ( spl0_2
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f2032]) ).

cnf(s402,plain,
    ( ~ spl0_2
    | ~ spl0_130
    | ~ spl0_131
    | spl0_161 ),
    inference(sat_conversion,[],[f2034]) ).

cnf(s404,plain,
    ( ~ spl0_4
    | ~ spl0_151
    | ~ spl0_152
    | spl0_153 ),
    inference(sat_conversion,[],[f2036]) ).

cnf(s412,plain,
    ( ~ spl0_4
    | ~ spl0_117
    | spl0_118
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2044]) ).

cnf(s425,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_137
    | spl0_176 ),
    inference(sat_conversion,[],[f2074]) ).

cnf(s429,plain,
    ( ~ spl0_20
    | ~ spl0_30
    | spl0_82
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2152]) ).

cnf(s430,plain,
    ( ~ spl0_20
    | ~ spl0_30
    | spl0_83
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f2153]) ).

cnf(s439,plain,
    ( ~ spl0_9
    | ~ spl0_148
    | spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f2162]) ).

cnf(s447,plain,
    ( ~ spl0_14
    | spl0_16
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f2170]) ).

cnf(s457,plain,
    ( ~ spl0_15
    | ~ spl0_24
    | spl0_86
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2179]) ).

cnf(s460,plain,
    ( ~ spl0_9
    | spl0_146
    | ~ spl0_147
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2182]) ).

cnf(s461,plain,
    ( ~ spl0_9
    | spl0_136
    | ~ spl0_137
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2183]) ).

cnf(s463,plain,
    ( ~ spl0_20
    | spl0_95
    | spl0_136
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2185]) ).

cnf(s466,plain,
    ( ~ spl0_17
    | ~ spl0_145
    | ~ spl0_147
    | spl0_178 ),
    inference(sat_conversion,[],[f2188]) ).

cnf(s469,plain,
    ( ~ spl0_2
    | spl0_81
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f2191]) ).

cnf(s472,plain,
    ( ~ spl0_27
    | spl0_95
    | spl0_136
    | spl0_176 ),
    inference(sat_conversion,[],[f2194]) ).

cnf(s474,plain,
    ( ~ spl0_27
    | spl0_62
    | spl0_63
    | spl0_109 ),
    inference(sat_conversion,[],[f2196]) ).

cnf(s476,plain,
    ( ~ spl0_6
    | spl0_136
    | ~ spl0_137
    | spl0_176 ),
    inference(sat_conversion,[],[f2198]) ).

cnf(s480,plain,
    ( ~ spl0_14
    | spl0_95
    | spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2201]) ).

cnf(s485,plain,
    ( ~ spl0_16
    | spl0_82
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f2206]) ).

cnf(s499,plain,
    ( ~ spl0_30
    | spl0_92
    | ~ spl0_93
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f2216]) ).

cnf(s501,plain,
    ( ~ spl0_30
    | ~ spl0_66
    | ~ spl0_111
    | spl0_165 ),
    inference(sat_conversion,[],[f2218]) ).

cnf(s506,plain,
    ( ~ spl0_6
    | spl0_85
    | spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f2220]) ).

cnf(s513,plain,
    ( ~ spl0_22
    | ~ spl0_66
    | spl0_67
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2227]) ).

cnf(s518,plain,
    ( ~ spl0_1
    | spl0_108
    | spl0_144
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2232]) ).

cnf(s521,plain,
    ( ~ spl0_1
    | spl0_94
    | ~ spl0_134
    | spl0_135 ),
    inference(sat_conversion,[],[f2235]) ).

cnf(s522,plain,
    ( ~ spl0_1
    | spl0_78
    | spl0_118
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2236]) ).

cnf(s528,plain,
    ( ~ spl0_5
    | spl0_100
    | ~ spl0_101
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f2242]) ).

cnf(s530,plain,
    ( ~ spl0_13
    | ~ spl0_66
    | spl0_67
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f2244]) ).

cnf(s534,plain,
    ( ~ spl0_24
    | spl0_98
    | ~ spl0_139
    | spl0_140 ),
    inference(sat_conversion,[],[f2248]) ).

cnf(s536,plain,
    ( ~ spl0_24
    | ~ spl0_134
    | spl0_135
    | spl0_175 ),
    inference(sat_conversion,[],[f2250]) ).

cnf(s543,plain,
    ( ~ spl0_4
    | ~ spl0_148
    | spl0_149
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2257]) ).

cnf(s544,plain,
    ( ~ spl0_4
    | ~ spl0_145
    | spl0_146
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2258]) ).

cnf(s545,plain,
    ( ~ spl0_4
    | ~ spl0_134
    | spl0_135
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2259]) ).

cnf(s549,plain,
    ( ~ spl0_10
    | spl0_108
    | spl0_144
    | spl0_170 ),
    inference(sat_conversion,[],[f2263]) ).

cnf(s550,plain,
    ( ~ spl0_15
    | ~ spl0_99
    | ~ spl0_141
    | spl0_177 ),
    inference(sat_conversion,[],[f2264]) ).

cnf(s552,plain,
    ( ~ spl0_19
    | spl0_98
    | spl0_140
    | spl0_162 ),
    inference(sat_conversion,[],[f2266]) ).

cnf(s558,plain,
    ( ~ spl0_1
    | ~ spl0_22
    | spl0_81
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f2309]) ).

cnf(s559,plain,
    ( ~ spl0_1
    | ~ spl0_22
    | ~ spl0_131
    | spl0_161 ),
    inference(sat_conversion,[],[f2310]) ).

cnf(s584,plain,
    ( ~ spl0_10
    | ~ spl0_30
    | spl0_48 ),
    inference(sat_conversion,[],[f2550]) ).

cnf(s585,plain,
    ( ~ spl0_8
    | ~ spl0_30
    | spl0_48 ),
    inference(sat_conversion,[],[f2551]) ).

cnf(s588,plain,
    ( ~ spl0_48
    | spl0_83
    | spl0_84
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f2552]) ).

cnf(s589,plain,
    ( ~ spl0_19
    | spl0_107
    | spl0_108
    | spl0_144 ),
    inference(sat_conversion,[],[f2553]) ).

cnf(s593,plain,
    ( ~ spl0_17
    | spl0_98
    | ~ spl0_139
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2557]) ).

cnf(s597,plain,
    ( ~ spl0_17
    | spl0_86
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f2561]) ).

cnf(s599,plain,
    ( ~ spl0_20
    | spl0_77
    | ~ spl0_115
    | spl0_116 ),
    inference(sat_conversion,[],[f2563]) ).

cnf(s601,plain,
    ( ~ spl0_16
    | ~ spl0_148
    | ~ spl0_150
    | spl0_171 ),
    inference(sat_conversion,[],[f2565]) ).

cnf(s607,plain,
    ( ~ spl0_20
    | ~ spl0_148
    | spl0_149
    | spl0_171 ),
    inference(sat_conversion,[],[f2571]) ).

cnf(s608,plain,
    ( ~ spl0_12
    | ~ spl0_148
    | ~ spl0_150
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2572]) ).

cnf(s610,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f2574]) ).

cnf(s611,plain,
    ( ~ spl0_11
    | ~ spl0_89
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f2575]) ).

cnf(s613,plain,
    spl0_3,
    inference(rat,[],[s172,s185,s202,s204]) ).

cnf(s615,plain,
    ( spl0_47
    | ~ spl0_20 ),
    inference(rat,[],[s599,s86,s122,s123]) ).

cnf(s616,plain,
    ( ~ spl0_58
    | ~ spl0_4 ),
    inference(rat,[],[s404,s158,s159,s160]) ).

cnf(s618,plain,
    ( ~ spl0_49
    | spl0_13
    | spl0_2 ),
    inference(rat,[],[s611,s98,s137,s138,s38,s53,s613]) ).

cnf(s619,plain,
    ( ~ spl0_53
    | ~ spl0_15 ),
    inference(rat,[],[s257,s88,s89,s126]) ).

cnf(s620,plain,
    ( spl0_45
    | ~ spl0_8 ),
    inference(rat,[],[s399,s87,s124,s125]) ).

cnf(s621,plain,
    ( ~ spl0_61
    | ~ spl0_19
    | ~ spl0_17 ),
    inference(rat,[],[s552,s593,s107,s146,s147]) ).

cnf(s622,plain,
    ( ~ spl0_43
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s297,s105,s106,s145,s60,s621,s367,s9,s10,s73,s74,s117,s447,s429,s55,s32,s7,s619,s65,s620,s400,s12,s485,s130,s129,s91,s618,s285,s1,s613]) ).

cnf(s623,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s544,s466,s152,s153,s154,s622,s7,s619,s65,s620,s400,s12,s485,s91,s129,s130,s618,s285,s1,s613]) ).

cnf(s624,plain,
    ( ~ spl0_43
    | spl0_15
    | ~ spl0_122
    | spl0_82
    | spl0_16
    | spl0_1 ),
    inference(rat,[],[s297,s105,s106,s145,s60,s621,s367,s9,s10,s73,s74,s117,s447,s429,s55,s32,s7,s613]) ).

cnf(s625,plain,
    ( ~ spl0_145
    | spl0_146
    | ~ spl0_147
    | ~ spl0_17
    | ~ spl0_4 ),
    inference(rat,[],[s544,s466]) ).

cnf(s626,plain,
    ( spl0_15
    | ~ spl0_4
    | ~ spl0_122
    | spl0_82
    | spl0_16
    | spl0_1 ),
    inference(rat,[],[s152,s625,s153,s154,s624,s7,s613]) ).

cnf(s627,plain,
    ( spl0_35
    | ~ spl0_2 ),
    inference(rat,[],[s469,s90,s127,s128]) ).

cnf(s628,plain,
    ( ~ spl0_30
    | ~ spl0_15
    | ~ spl0_122
    | spl0_82
    | spl0_16
    | spl0_1 ),
    inference(rat,[],[s377,s96,s97,s136,s16,s439,s310,s155,s156,s157,s10,s50,s447,s429,s627,s623,s613]) ).

cnf(s629,plain,
    ( ~ spl0_4
    | ~ spl0_122
    | spl0_82
    | spl0_16
    | spl0_1 ),
    inference(rat,[],[s152,s625,s153,s154,s32,s628,s269,s626,s24,s627,s623,s613]) ).

cnf(s630,plain,
    ( spl0_46
    | ~ spl0_27 ),
    inference(rat,[],[s474,s71,s72,s116]) ).

cnf(s631,plain,
    ( spl0_15
    | ~ spl0_122
    | spl0_82
    | spl0_16
    | spl0_1 ),
    inference(rat,[],[s588,s585,s92,s93,s131,s28,s34,s534,s621,s107,s146,s147,s165,s630,s620,s3,s39,s377,s96,s97,s136,s16,s460,s466,s152,s153,s154,s624,s7,s627,s623,s613]) ).

cnf(s632,plain,
    ( ~ spl0_122
    | spl0_82
    | spl0_16
    | spl0_1 ),
    inference(rat,[],[s321,s402,s137,s138,s19,s460,s466,s152,s153,s154,s32,s628,s269,s631,s14,s629,s24,s627,s623,s613]) ).

cnf(s633,plain,
    ( spl0_23
    | ~ spl0_18 ),
    inference(rat,[],[s297,s105,s106,s145]) ).

cnf(s634,plain,
    ( ~ spl0_43
    | spl0_15
    | spl0_16
    | spl0_1 ),
    inference(rat,[],[s430,s92,s131,s10,s34,s621,s60,s633,s367,s9,s73,s74,s117,s447,s55,s32,s7,s613]) ).

cnf(s635,plain,
    ( spl0_15
    | spl0_16
    | spl0_1 ),
    inference(rat,[],[s588,s585,s92,s93,s131,s28,s34,s534,s621,s107,s146,s147,s165,s620,s630,s3,s39,s377,s96,s97,s136,s16,s460,s466,s152,s153,s154,s634,s7,s627,s623,s613]) ).

cnf(s636,plain,
    ( ~ spl0_30
    | ~ spl0_49
    | spl0_16
    | spl0_1 ),
    inference(rat,[],[s65,s620,s513,s12,s501,s530,s75,s76,s118,s168,s633,s9,s447,s619,s635,s613]) ).

cnf(s637,plain,
    ( spl0_30
    | ~ spl0_17
    | spl0_1 ),
    inference(rat,[],[s321,s402,s137,s138,s14,s19,s625,s460,s466,s152,s153,s154,s32,s623,s613]) ).

cnf(s638,plain,
    ( ~ spl0_30
    | spl0_16
    | spl0_1 ),
    inference(rat,[],[s632,s91,s129,s636]) ).

cnf(s639,plain,
    ( spl0_16
    | spl0_1 ),
    inference(rat,[],[s638,s637,s269,s635,s24,s627,s623,s613]) ).

cnf(s640,plain,
    ( ~ spl0_37
    | ~ spl0_16 ),
    inference(rat,[],[s14,s608,s543,s601,s155,s156,s157,s613]) ).

cnf(s642,plain,
    ( ~ spl0_38
    | ~ spl0_6 ),
    inference(rat,[],[s506,s94,s132,s133]) ).

cnf(s643,plain,
    ( ~ spl0_59
    | spl0_1 ),
    inference(rat,[],[s463,s476,s104,s143,s144,s24,s50,s640,s639,s627,s623,s613]) ).

cnf(s644,plain,
    ( spl0_55
    | ~ spl0_32 ),
    inference(rat,[],[s367,s73,s74,s117]) ).

cnf(s645,plain,
    ( spl0_43
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(rat,[],[s625,s152,s153,s154]) ).

cnf(s648,plain,
    ( ~ spl0_4
    | ~ spl0_31
    | spl0_1 ),
    inference(rat,[],[s377,s96,s97,s136,s39,s56,s370,s373,s633,s105,s145,s47,s536,s545,s616,s644,s62,s643,s642,s24,s627,s623,s142,s141,s613]) ).

cnf(s649,plain,
    ( spl0_155
    | ~ spl0_12 ),
    inference(rat,[],[s338,s161,s162,s163]) ).

cnf(s650,plain,
    ( spl0_49
    | ~ spl0_16 ),
    inference(rat,[],[s485,s91,s129,s130]) ).

cnf(s651,plain,
    ( ~ spl0_35
    | spl0_1 ),
    inference(rat,[],[s372,s109,s150,s52,s57,s648,s356,s14,s649,s172,s650,s643,s640,s639,s24,s613]) ).

cnf(s652,plain,
    spl0_1,
    inference(rat,[],[s651,s627,s623]) ).

cnf(s653,plain,
    ( spl0_108
    | spl0_144
    | ~ spl0_10 ),
    inference(rat,[],[s518,s549,s652]) ).

cnf(s654,plain,
    ( spl0_106
    | ~ spl0_10 ),
    inference(rat,[],[s653,s115,s151]) ).

cnf(s655,plain,
    ( spl0_28
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(rat,[],[s324,s336,s148,s149]) ).

cnf(s657,plain,
    ( ~ spl0_56
    | ~ spl0_5 ),
    inference(rat,[],[s528,s109,s110,s150]) ).

cnf(s658,plain,
    ( ~ spl0_57
    | ~ spl0_17 ),
    inference(rat,[],[s597,s95,s134,s135]) ).

cnf(s659,plain,
    ( spl0_22
    | spl0_5
    | ~ spl0_155
    | ~ spl0_43
    | spl0_16 ),
    inference(rat,[],[s588,s92,s93,s131,s37,s169,s615,s654,s13,s41,s613]) ).

cnf(s660,plain,
    ( spl0_35
    | ~ spl0_22 ),
    inference(rat,[],[s558,s90,s128,s652]) ).

cnf(s661,plain,
    ( spl0_5
    | ~ spl0_12
    | ~ spl0_43
    | spl0_58
    | spl0_16 ),
    inference(rat,[],[s321,s559,s137,s138,s166,s630,s39,s660,s659,s377,s96,s97,s136,s56,s649,s652,s613]) ).

cnf(s662,plain,
    ( ~ spl0_12
    | ~ spl0_4
    | spl0_15
    | spl0_16 ),
    inference(rat,[],[s402,s321,s137,s138,s19,s461,s425,s143,s144,s610,s499,s62,s27,s101,s102,s140,s642,s173,s48,s657,s661,s658,s616,s644,s55,s645,s7,s613,s652]) ).

cnf(s664,plain,
    ( spl0_48
    | ~ spl0_10
    | ~ spl0_46
    | spl0_12 ),
    inference(rat,[],[s480,s104,s143,s144,s6,s58,s293,s584,s613]) ).

cnf(s665,plain,
    ( ~ spl0_36
    | ~ spl0_48 ),
    inference(rat,[],[s588,s92,s93,s131]) ).

cnf(s666,plain,
    ( ~ spl0_46
    | spl0_12
    | ~ spl0_4
    | ~ spl0_17
    | spl0_16 ),
    inference(rat,[],[s412,s233,s87,s124,s125,s165,s621,s34,s665,s664,s4,s611,s98,s137,s138,s166,s616,s613]) ).

cnf(s667,plain,
    ( spl0_2
    | spl0_63
    | spl0_109
    | spl0_12
    | ~ spl0_4 ),
    inference(rat,[],[s317,s228,s6,s11,s285,s356,s613]) ).

cnf(s668,plain,
    ( spl0_25
    | ~ spl0_7 ),
    inference(rat,[],[s377,s96,s97,s136]) ).

cnf(s669,plain,
    ~ spl0_31,
    inference(rat,[],[s521,s103,s141,s142,s652]) ).

cnf(s670,plain,
    ( spl0_15
    | ~ spl0_4
    | spl0_16 ),
    inference(rat,[],[s39,s668,s627,s56,s667,s657,s630,s72,s116,s52,s666,s356,s662,s7,s616,s613,s669]) ).

cnf(s671,plain,
    ( ~ spl0_17
    | spl0_20
    | spl0_9
    | spl0_56
    | ~ spl0_4 ),
    inference(rat,[],[s559,s321,s137,s138,s19,s41,s499,s236,s101,s102,s140,s99,s100,s139,s173,s49,s645,s658,s356,s52,s652,s613,s669]) ).

cnf(s672,plain,
    ( spl0_35
    | ~ spl0_4
    | spl0_16 ),
    inference(rat,[],[s620,s12,s65,s285,s660,s627,s619,s670,s613]) ).

cnf(s675,plain,
    ( spl0_22
    | ~ spl0_4
    | spl0_16 ),
    inference(rat,[],[s12,s530,s620,s75,s76,s118,s65,s64,s619,s670,s672,s613]) ).

cnf(s677,plain,
    ( spl0_106
    | ~ spl0_19 ),
    inference(rat,[],[s589,s114,s115,s151]) ).

cnf(s678,plain,
    ( ~ spl0_4
    | spl0_16 ),
    inference(rat,[],[s559,s321,s137,s138,s22,s585,s665,s169,s677,s675,s10,s447,s28,s672,s457,s95,s134,s48,s269,s671,s649,s356,s607,s52,s543,s439,s657,s155,s156,s157,s56,s171,s668,s619,s280,s670,s616,s652,s613,s669]) ).

cnf(s679,plain,
    ( spl0_15
    | spl0_16 ),
    inference(rat,[],[s611,s27,s98,s137,s138,s642,s45,s48,s657,s655,s658,s8,s7,s14,s678,s613]) ).

cnf(s680,plain,
    ( spl0_45
    | spl0_4 ),
    inference(rat,[],[s233,s5,s522,s620,s87,s125,s613,s652]) ).

cnf(s681,plain,
    ( ~ spl0_29
    | spl0_16 ),
    inference(rat,[],[s559,s321,s137,s138,s14,s65,s680,s678,s619,s679,s652,s613]) ).

cnf(s682,plain,
    spl0_16,
    inference(rat,[],[s550,s336,s108,s148,s149,s45,s681,s679,s14,s678,s613]) ).

cnf(s683,plain,
    ~ spl0_37,
    inference(rat,[],[s640,s682]) ).

cnf(s684,plain,
    spl0_49,
    inference(rat,[],[s650,s682]) ).

cnf(s686,plain,
    ~ spl0_155,
    inference(rat,[],[s172,s683,s684]) ).

cnf(s694,plain,
    ~ spl0_12,
    inference(rat,[],[s649,s686]) ).

cnf(s695,plain,
    spl0_4,
    inference(rat,[],[s14,s613,s694]) ).

cnf(s696,plain,
    ~ spl0_21,
    inference(rat,[],[s356,s695,s694]) ).

cnf(s697,plain,
    spl0_22,
    inference(rat,[],[s26,s683,s613,s694]) ).

cnf(s698,plain,
    ~ spl0_58,
    inference(rat,[],[s616,s695]) ).

cnf(s699,plain,
    spl0_56,
    inference(rat,[],[s52,s613,s669,s696]) ).

cnf(s700,plain,
    spl0_35,
    inference(rat,[],[s660,s697]) ).

cnf(s704,plain,
    ~ spl0_5,
    inference(rat,[],[s657,s699]) ).

cnf(s705,plain,
    spl0_20,
    inference(rat,[],[s50,s683,s613,s700]) ).

cnf(s706,plain,
    ~ spl0_25,
    inference(rat,[],[s56,s698,s613,s704]) ).

cnf(s707,plain,
    spl0_59,
    inference(rat,[],[s57,s669,s613,s704]) ).

cnf(s712,plain,
    ~ spl0_7,
    inference(rat,[],[s668,s706]) ).

cnf(s714,plain,
    ~ spl0_136,
    inference(rat,[],[s143,s707]) ).

cnf(s715,plain,
    ~ spl0_95,
    inference(rat,[],[s104,s707]) ).

cnf(s717,plain,
    spl0_27,
    inference(rat,[],[s39,s700,s613,s712]) ).

cnf(s719,plain,
    spl0_176,
    inference(rat,[],[s472,s717,s714,s715]) ).

cnf(s720,plain,
    $false,
    inference(rat,[],[s463,s714,s705,s719,s715]) ).

fof(f2577,plain,
    $false,
    inference(avatar_sat_refutation,[],[s720]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN511-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20  % Computer : n026.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 16:24:12 UTC 2026
% 0.08/0.21  % CPUTime  : 
% 0.08/0.21  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24  Running first-order model finding
% 0.08/0.24  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.29  % (3990558)Will run a generic schedule for satisfiability detection.
% 0.19/0.29  % (3990569)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=134859384:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29  % (3990564)% WARNING: option uhcvi not known.
% 0.19/0.29  % (3990567)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=819256:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29  % (3990563)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=732617564_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29  % (3990565)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2973936810:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29  % (3990564)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=226848273:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29  % (3990566)dis+10_1_sil=32000:sp=arity:random_seed=3940862933:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29  % (3990568)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=132543754:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29  % Detected minimum model sizes of [1]
% 0.19/0.29  % Detected maximum model sizes of [31]
% 0.19/0.29  % TRYING [1]
% 0.19/0.29  % TRYING [2]
% 0.19/0.29  % (3990569) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3990558-3990569"...
% 0.19/0.29  % TRYING [3]
% 0.19/0.29  % (3990569)...printing done.
% 0.19/0.29  % (3990569)Refutation found. Thanks to Tanya!
% 0.19/0.29  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.30  % (3990569)------------------------------
% 0.19/0.30  % (3990569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.30  % (3990569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.30  % (3990569)CaDiCaL version: 2.1.3
% 0.19/0.30  % (3990569)Termination reason: Refutation
% 0.19/0.30  % (3990569)Time elapsed: 0.019 s
% 0.19/0.30  % (3990569)Peak memory usage: 13 MB
% 0.19/0.30  % (3990569)Instructions burned: 55 (million)
% 0.19/0.30  % (3990558)Success in time 0.044 s
% 0.19/0.30  % Vampire exiting
%------------------------------------------------------------------------------