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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN436-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:50:40 PM UTC 2026

% Result   : Unsatisfiable 3.04s 1.12s
% Output   : Refutation 3.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   44
%            Number of leaves      :  275
% Syntax   : Number of formulae    : 1001 (  31 unt; 155 def)
%            Number of atoms       : 3132 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3792 (1661   ~;1976   |;   0   &)
%                                         ( 155 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  188 ( 187 usr; 184 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  149 (   0 sgn 149   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
    ( ~ hskp26
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f6,negated_conjecture,
    ( ~ hskp22
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f22,negated_conjecture,
    ( ~ hskp6
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).

fof(f29,negated_conjecture,
    ( hskp25
    | hskp17
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

fof(f30,negated_conjecture,
    ( hskp6
    | hskp26
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

fof(f31,negated_conjecture,
    ( hskp17
    | hskp8
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

fof(f32,negated_conjecture,
    ( hskp7
    | hskp9
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( ~ hskp27
    | c0_1(a11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( ~ hskp27
    | c1_1(a11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( ~ hskp27
    | c3_1(a11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( ~ hskp26
    | c0_1(a10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( ~ hskp26
    | c2_1(a10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( ~ hskp26
    | c3_1(a10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp25
    | c0_1(a9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp25
    | c1_1(a9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp25
    | c2_1(a9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp24
    | c1_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp24
    | c2_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp24
    | c3_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp23
    | c3_1(a53) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp22
    | c0_1(a45) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp21
    | c2_1(a42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp21
    | c3_1(a42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp20
    | c1_1(a37) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp19
    | c2_1(a33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp19
    | c3_1(a33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp17
    | c0_1(a31) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp17
    | c2_1(a31) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp16
    | c1_1(a30) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp15
    | c0_1(a25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp15
    | c1_1(a25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp14
    | c2_1(a24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp11
    | c2_1(a19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp10
    | c0_1(a18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp10
    | c2_1(a18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp9
    | c0_1(a16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp8
    | c0_1(a15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp7
    | c0_1(a14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp7
    | c3_1(a14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp6
    | c0_1(a8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp6
    | c1_1(a8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp5
    | c1_1(a7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp5
    | c3_1(a7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp4
    | c1_1(a6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp4
    | c3_1(a6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp2
    | c1_1(a4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp1
    | c2_1(a2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp0
    | c3_1(a1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ c0_1(a53)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ c1_1(a53)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ c1_1(a45)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ c3_1(a45)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ c1_1(a42)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ c0_1(a37)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ c3_1(a37)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ c0_1(a33)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ c0_1(a32)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ c1_1(a32)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ c3_1(a32)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ c1_1(a31)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ c0_1(a30)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c2_1(a30)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c3_1(a25)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c0_1(a24)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ c1_1(a24)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ c0_1(a22)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c2_1(a22)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c3_1(a22)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f98,negated_conjecture,
    ( ~ c1_1(a19)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c3_1(a19)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c3_1(a18)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c2_1(a16)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c3_1(a16)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c1_1(a15)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c2_1(a15)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c2_1(a14)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c2_1(a8)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c0_1(a7)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c2_1(a6)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c1_1(a5)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c2_1(a5)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c3_1(a5)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c2_1(a4)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c3_1(a4)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c0_1(a2)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c3_1(a2)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c0_1(a1)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c2_1(a1)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp2
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp25
      | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp2
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp6
      | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp26
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp27
      | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f126,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp8
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f128,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp17
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp9
      | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp26
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp6
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f136,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f143,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f147,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | c2_1(X1)
      | c3_1(X1)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f154,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f155,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f157,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f158,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f160,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f163,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f164,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f163]) ).

fof(f165,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f152,f163,f160,f157,f154]) ).

fof(f167,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f168,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f170,definition,
    ( spl0_6
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f171,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f172,plain,
    ( spl0_5
    | spl0_2
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f151,f170,f160,f157,f167]) ).

fof(f174,definition,
    ( spl0_7
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f175,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f174]) ).

fof(f177,definition,
    ( spl0_8
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f178,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f180,definition,
    ( spl0_9
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f181,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f182,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f150,f180,f160,f177,f174]) ).

fof(f184,definition,
    ( spl0_10
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f185,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f187,definition,
    ( spl0_11
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f188,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f190,definition,
    ( spl0_12
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f191,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f192,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f149,f190,f160,f187,f184]) ).

fof(f193,plain,
    ( spl0_7
    | spl0_11
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f148,f157,f160,f187,f174]) ).

fof(f195,definition,
    ( spl0_13
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f197,plain,
    ( spl0_13
    | spl0_12
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f147,f170,f160,f190,f195]) ).

fof(f199,definition,
    ( spl0_14
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f200,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f201,plain,
    ( spl0_10
    | spl0_14
    | spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f146,f160,f167,f199,f184]) ).

fof(f203,definition,
    ( spl0_15
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f204,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f206,definition,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f207,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f208,plain,
    ( spl0_15
    | spl0_10
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f145,f206,f160,f184,f203]) ).

fof(f210,definition,
    ( spl0_17
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f213,definition,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f214,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f216,definition,
    ( spl0_19
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f217,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f218,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f144,f216,f160,f213,f210]) ).

fof(f220,definition,
    ( spl0_20
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f223,definition,
    ( spl0_21
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f224,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f225,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f143,f180,f160,f223,f220]) ).

fof(f227,definition,
    ( spl0_22
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f234,definition,
    ( spl0_24
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f235,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f236,plain,
    ( spl0_24
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f141,f163,f160,f234]) ).

fof(f238,definition,
    ( spl0_25
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f241,definition,
    ( spl0_26
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f242,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f244,definition,
    ( spl0_27
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f245,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f246,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f140,f244,f160,f241,f238]) ).

fof(f248,definition,
    ( spl0_28
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f251,definition,
    ( spl0_29
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f252,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f254,definition,
    ( spl0_30
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f255,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f256,plain,
    ( spl0_28
    | spl0_29
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f139,f254,f160,f251,f248]) ).

fof(f258,definition,
    ( spl0_31
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f260,plain,
    ( spl0_31
    | spl0_21
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f138,f187,f160,f223,f258]) ).

fof(f262,definition,
    ( spl0_32
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f265,definition,
    ( spl0_33
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f266,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f268,definition,
    ( spl0_34
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f269,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f270,plain,
    ( spl0_32
    | spl0_33
    | ~ spl0_3
    | spl0_34 ),
    inference(avatar_split_clause,[],[f137,f268,f160,f265,f262]) ).

fof(f272,definition,
    ( spl0_35
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f273,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f274,plain,
    ( spl0_31
    | spl0_35
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f136,f251,f160,f272,f258]) ).

fof(f276,definition,
    ( spl0_36
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f279,definition,
    ( spl0_37
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f280,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f286,definition,
    ( spl0_39
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f288,plain,
    ( spl0_39
    | spl0_37
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f134,f180,f160,f279,f286]) ).

fof(f290,definition,
    ( spl0_40
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f293,definition,
    ( spl0_41
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f294,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f295,plain,
    ( spl0_40
    | spl0_15
    | ~ spl0_3
    | spl0_41 ),
    inference(avatar_split_clause,[],[f133,f293,f160,f203,f290]) ).

fof(f297,definition,
    ( spl0_42
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f298,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f299,plain,
    ( spl0_37
    | ~ spl0_3
    | spl0_42 ),
    inference(avatar_split_clause,[],[f132,f297,f160,f279]) ).

fof(f300,plain,
    ( spl0_20
    | spl0_22
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f131,f170,f160,f227,f220]) ).

fof(f302,definition,
    ( spl0_43
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f305,definition,
    ( spl0_44
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f307,plain,
    ( spl0_43
    | spl0_44
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f130,f216,f160,f305,f302]) ).

fof(f309,definition,
    ( spl0_45
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f311,plain,
    ( spl0_36
    | spl0_45
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f129,f190,f160,f309,f276]) ).

fof(f313,definition,
    ( spl0_46
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f316,definition,
    ( spl0_47
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f318,plain,
    ( spl0_46
    | spl0_47
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f128,f244,f160,f316,f313]) ).

fof(f323,definition,
    ( spl0_49
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f327,definition,
    ( spl0_50
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f329,plain,
    ( spl0_45
    | spl0_50
    | ~ spl0_3
    | spl0_42 ),
    inference(avatar_split_clause,[],[f126,f297,f160,f327,f309]) ).

fof(f331,definition,
    ( spl0_51
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f334,plain,
    ( spl0_44
    | spl0_49
    | ~ spl0_3
    | spl0_42 ),
    inference(avatar_split_clause,[],[f124,f297,f160,f323,f305]) ).

fof(f336,definition,
    ( spl0_52
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f338,plain,
    ( spl0_52
    | spl0_44
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f123,f154,f160,f305,f336]) ).

fof(f339,plain,
    ( spl0_44
    | spl0_22
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f122,f234,f160,f227,f305]) ).

fof(f341,definition,
    ( spl0_53
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f344,definition,
    ( spl0_54
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f346,plain,
    ( spl0_53
    | spl0_54
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f121,f251,f160,f344,f341]) ).

fof(f348,definition,
    ( spl0_55
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f350,plain,
    ( spl0_44
    | spl0_55
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f120,f167,f160,f348,f305]) ).

fof(f352,definition,
    ( spl0_56
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f354,plain,
    ( spl0_56
    | spl0_54
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f119,f174,f160,f344,f352]) ).

fof(f355,plain,
    ( spl0_51
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f118,f234,f160,f331]) ).

fof(f358,definition,
    ( spl0_57
  <=> c2_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f360,plain,
    ( ~ spl0_40
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f117,f358,f290]) ).

fof(f362,definition,
    ( spl0_58
  <=> c0_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f364,plain,
    ( ~ spl0_40
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f116,f362,f290]) ).

fof(f367,definition,
    ( spl0_59
  <=> c3_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f368,plain,
    ( ~ c3_1(a2)
    | spl0_59 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f369,plain,
    ( ~ spl0_39
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f115,f367,f286]) ).

fof(f371,definition,
    ( spl0_60
  <=> c0_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f373,plain,
    ( ~ spl0_39
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f114,f371,f286]) ).

fof(f376,definition,
    ( spl0_61
  <=> c3_1(a4) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f377,plain,
    ( ~ c3_1(a4)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f378,plain,
    ( ~ spl0_54
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f113,f376,f344]) ).

fof(f380,definition,
    ( spl0_62
  <=> c2_1(a4) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f382,plain,
    ( ~ spl0_54
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f112,f380,f344]) ).

fof(f385,definition,
    ( spl0_63
  <=> c3_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f386,plain,
    ( ~ c3_1(a5)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f387,plain,
    ( ~ spl0_56
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f111,f385,f352]) ).

fof(f389,definition,
    ( spl0_64
  <=> c2_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f391,plain,
    ( ~ spl0_56
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f110,f389,f352]) ).

fof(f393,definition,
    ( spl0_65
  <=> c1_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f394,plain,
    ( ~ c1_1(a5)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f395,plain,
    ( ~ spl0_56
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f109,f393,f352]) ).

fof(f398,definition,
    ( spl0_66
  <=> c2_1(a6) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f400,plain,
    ( ~ spl0_31
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f108,f398,f258]) ).

fof(f403,definition,
    ( spl0_67
  <=> c0_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f405,plain,
    ( ~ spl0_32
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f107,f403,f262]) ).

fof(f408,definition,
    ( spl0_68
  <=> c2_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f410,plain,
    ( ~ spl0_22
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f106,f408,f227]) ).

fof(f413,definition,
    ( spl0_69
  <=> c2_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f415,plain,
    ( ~ spl0_51
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f105,f413,f331]) ).

fof(f418,definition,
    ( spl0_70
  <=> c2_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f420,plain,
    ( ~ spl0_50
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f104,f418,f327]) ).

fof(f422,definition,
    ( spl0_71
  <=> c1_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f423,plain,
    ( ~ c1_1(a15)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f424,plain,
    ( ~ spl0_50
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f103,f422,f327]) ).

fof(f427,definition,
    ( spl0_72
  <=> c3_1(a16) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f428,plain,
    ( ~ c3_1(a16)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f429,plain,
    ( ~ spl0_45
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f102,f427,f309]) ).

fof(f431,definition,
    ( spl0_73
  <=> c2_1(a16) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f433,plain,
    ( ~ spl0_45
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f101,f431,f309]) ).

fof(f436,definition,
    ( spl0_74
  <=> c3_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f437,plain,
    ( ~ c3_1(a18)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f438,plain,
    ( ~ spl0_20
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f100,f436,f220]) ).

fof(f441,definition,
    ( spl0_75
  <=> c3_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f442,plain,
    ( ~ c3_1(a19)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f443,plain,
    ( ~ spl0_17
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f99,f441,f210]) ).

fof(f445,definition,
    ( spl0_76
  <=> c1_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f446,plain,
    ( ~ c1_1(a19)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f447,plain,
    ( ~ spl0_17
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f98,f445,f210]) ).

fof(f463,definition,
    ( spl0_80
  <=> c3_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f464,plain,
    ( ~ c3_1(a22)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f465,plain,
    ( ~ spl0_28
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f94,f463,f248]) ).

fof(f467,definition,
    ( spl0_81
  <=> c2_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f469,plain,
    ( ~ spl0_28
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f93,f467,f248]) ).

fof(f471,definition,
    ( spl0_82
  <=> c0_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f473,plain,
    ( ~ spl0_28
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f92,f471,f248]) ).

fof(f476,definition,
    ( spl0_83
  <=> c1_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f477,plain,
    ( ~ c1_1(a24)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f478,plain,
    ( ~ spl0_53
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f91,f476,f341]) ).

fof(f480,definition,
    ( spl0_84
  <=> c0_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f481,plain,
    ( ~ c0_1(a24)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f482,plain,
    ( ~ spl0_53
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f90,f480,f341]) ).

fof(f485,definition,
    ( spl0_85
  <=> c3_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f486,plain,
    ( ~ c3_1(a25)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f487,plain,
    ( ~ spl0_25
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f89,f485,f238]) ).

fof(f490,definition,
    ( spl0_86
  <=> c2_1(a30) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f492,plain,
    ( ~ spl0_52
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f88,f490,f336]) ).

fof(f494,definition,
    ( spl0_87
  <=> c0_1(a30) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f496,plain,
    ( ~ spl0_52
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f87,f494,f336]) ).

fof(f499,definition,
    ( spl0_88
  <=> c1_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f500,plain,
    ( ~ c1_1(a31)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f501,plain,
    ( ~ spl0_47
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f86,f499,f316]) ).

fof(f504,definition,
    ( spl0_89
  <=> c3_1(a32) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f505,plain,
    ( ~ c3_1(a32)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f506,plain,
    ( ~ spl0_46
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f85,f504,f313]) ).

fof(f508,definition,
    ( spl0_90
  <=> c1_1(a32) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f509,plain,
    ( ~ c1_1(a32)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f510,plain,
    ( ~ spl0_46
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f84,f508,f313]) ).

fof(f512,definition,
    ( spl0_91
  <=> c0_1(a32) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f514,plain,
    ( ~ spl0_46
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f83,f512,f313]) ).

fof(f517,definition,
    ( spl0_92
  <=> c0_1(a33) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f519,plain,
    ( ~ spl0_13
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f82,f517,f195]) ).

fof(f522,definition,
    ( spl0_93
  <=> c3_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f523,plain,
    ( ~ c3_1(a37)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f524,plain,
    ( ~ spl0_43
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f81,f522,f302]) ).

fof(f526,definition,
    ( spl0_94
  <=> c0_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f528,plain,
    ( ~ spl0_43
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f80,f526,f302]) ).

fof(f530,definition,
    ( spl0_95
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f533,definition,
    ( spl0_96
  <=> c1_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f534,plain,
    ( ~ c1_1(a42)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f535,plain,
    ( ~ spl0_95
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f79,f533,f530]) ).

fof(f537,definition,
    ( spl0_97
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f540,definition,
    ( spl0_98
  <=> c3_1(a45) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f542,plain,
    ( ~ spl0_97
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f78,f540,f537]) ).

fof(f544,definition,
    ( spl0_99
  <=> c1_1(a45) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f545,plain,
    ( ~ c1_1(a45)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f546,plain,
    ( ~ spl0_97
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f77,f544,f537]) ).

fof(f548,definition,
    ( spl0_100
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f551,definition,
    ( spl0_101
  <=> c1_1(a53) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f552,plain,
    ( ~ c1_1(a53)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f553,plain,
    ( ~ spl0_100
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f76,f551,f548]) ).

fof(f555,definition,
    ( spl0_102
  <=> c0_1(a53) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f557,plain,
    ( ~ spl0_100
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f75,f555,f548]) ).

fof(f559,definition,
    ( spl0_103
  <=> c3_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f560,plain,
    ( c3_1(a1)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f561,plain,
    ( spl0_103
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f74,f290,f559]) ).

fof(f563,definition,
    ( spl0_104
  <=> c2_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f565,plain,
    ( spl0_104
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f73,f286,f563]) ).

fof(f567,definition,
    ( spl0_105
  <=> c1_1(a4) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f568,plain,
    ( c1_1(a4)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f569,plain,
    ( spl0_105
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f72,f344,f567]) ).

fof(f571,definition,
    ( spl0_106
  <=> c3_1(a6) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f572,plain,
    ( c3_1(a6)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f573,plain,
    ( spl0_106
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f71,f258,f571]) ).

fof(f575,definition,
    ( spl0_107
  <=> c1_1(a6) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f576,plain,
    ( c1_1(a6)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f577,plain,
    ( spl0_107
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f70,f258,f575]) ).

fof(f579,definition,
    ( spl0_108
  <=> c3_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f580,plain,
    ( c3_1(a7)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f581,plain,
    ( spl0_108
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f69,f262,f579]) ).

fof(f583,definition,
    ( spl0_109
  <=> c1_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f584,plain,
    ( c1_1(a7)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f585,plain,
    ( spl0_109
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f68,f262,f583]) ).

fof(f587,definition,
    ( spl0_110
  <=> c1_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f588,plain,
    ( c1_1(a8)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f589,plain,
    ( spl0_110
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f67,f227,f587]) ).

fof(f591,definition,
    ( spl0_111
  <=> c0_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f592,plain,
    ( c0_1(a8)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f593,plain,
    ( spl0_111
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f66,f227,f591]) ).

fof(f595,definition,
    ( spl0_112
  <=> c3_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f596,plain,
    ( c3_1(a14)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f597,plain,
    ( spl0_112
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f65,f331,f595]) ).

fof(f599,definition,
    ( spl0_113
  <=> c0_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f601,plain,
    ( spl0_113
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f64,f331,f599]) ).

fof(f603,definition,
    ( spl0_114
  <=> c0_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f605,plain,
    ( spl0_114
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f63,f327,f603]) ).

fof(f607,definition,
    ( spl0_115
  <=> c0_1(a16) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f609,plain,
    ( spl0_115
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f62,f309,f607]) ).

fof(f611,definition,
    ( spl0_116
  <=> c2_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f613,plain,
    ( spl0_116
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f61,f220,f611]) ).

fof(f615,definition,
    ( spl0_117
  <=> c0_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f617,plain,
    ( spl0_117
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f60,f220,f615]) ).

fof(f619,definition,
    ( spl0_118
  <=> c2_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f621,plain,
    ( spl0_118
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f59,f210,f619]) ).

fof(f623,definition,
    ( spl0_119
  <=> c2_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f625,plain,
    ( spl0_119
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f58,f341,f623]) ).

fof(f627,definition,
    ( spl0_120
  <=> c1_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f628,plain,
    ( c1_1(a25)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f629,plain,
    ( spl0_120
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f57,f238,f627]) ).

fof(f631,definition,
    ( spl0_121
  <=> c0_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f633,plain,
    ( spl0_121
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f56,f238,f631]) ).

fof(f635,definition,
    ( spl0_122
  <=> c1_1(a30) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f636,plain,
    ( c1_1(a30)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f637,plain,
    ( spl0_122
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f55,f336,f635]) ).

fof(f639,definition,
    ( spl0_123
  <=> c2_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f641,plain,
    ( spl0_123
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f54,f316,f639]) ).

fof(f643,definition,
    ( spl0_124
  <=> c0_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f645,plain,
    ( spl0_124
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f53,f316,f643]) ).

fof(f647,definition,
    ( spl0_125
  <=> c3_1(a33) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f648,plain,
    ( c3_1(a33)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f649,plain,
    ( spl0_125
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f52,f195,f647]) ).

fof(f651,definition,
    ( spl0_126
  <=> c2_1(a33) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f653,plain,
    ( spl0_126
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f51,f195,f651]) ).

fof(f655,definition,
    ( spl0_127
  <=> c1_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f656,plain,
    ( c1_1(a37)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f657,plain,
    ( spl0_127
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f50,f302,f655]) ).

fof(f659,definition,
    ( spl0_128
  <=> c3_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f660,plain,
    ( c3_1(a42)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f661,plain,
    ( spl0_128
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f49,f530,f659]) ).

fof(f663,definition,
    ( spl0_129
  <=> c2_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f665,plain,
    ( spl0_129
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f48,f530,f663]) ).

fof(f667,definition,
    ( spl0_130
  <=> c0_1(a45) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f669,plain,
    ( spl0_130
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f47,f537,f667]) ).

fof(f671,definition,
    ( spl0_131
  <=> c3_1(a53) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f672,plain,
    ( c3_1(a53)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f673,plain,
    ( spl0_131
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f46,f548,f671]) ).

fof(f675,definition,
    ( spl0_132
  <=> c3_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f676,plain,
    ( c3_1(a3)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f678,plain,
    ( spl0_132
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f45,f276,f675]) ).

fof(f680,definition,
    ( spl0_133
  <=> c2_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f682,plain,
    ( spl0_133
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f44,f276,f680]) ).

fof(f684,definition,
    ( spl0_134
  <=> c1_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f685,plain,
    ( c1_1(a3)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f686,plain,
    ( spl0_134
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f43,f276,f684]) ).

fof(f688,definition,
    ( spl0_135
  <=> c2_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f691,plain,
    ( spl0_135
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f42,f348,f688]) ).

fof(f693,definition,
    ( spl0_136
  <=> c1_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f694,plain,
    ( c1_1(a9)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f695,plain,
    ( spl0_136
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f41,f348,f693]) ).

fof(f697,definition,
    ( spl0_137
  <=> c0_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f699,plain,
    ( spl0_137
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f40,f348,f697]) ).

fof(f701,definition,
    ( spl0_138
  <=> c3_1(a10) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f702,plain,
    ( c3_1(a10)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f704,plain,
    ( spl0_138
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f39,f305,f701]) ).

fof(f706,definition,
    ( spl0_139
  <=> c2_1(a10) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f708,plain,
    ( spl0_139
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f38,f305,f706]) ).

fof(f710,definition,
    ( spl0_140
  <=> c0_1(a10) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f712,plain,
    ( spl0_140
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f37,f305,f710]) ).

fof(f714,definition,
    ( spl0_141
  <=> c3_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f715,plain,
    ( c3_1(a11)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f717,plain,
    ( spl0_141
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f36,f323,f714]) ).

fof(f719,definition,
    ( spl0_142
  <=> c1_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f720,plain,
    ( c1_1(a11)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f721,plain,
    ( spl0_142
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f35,f323,f719]) ).

fof(f723,definition,
    ( spl0_143
  <=> c0_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f725,plain,
    ( spl0_143
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f34,f323,f723]) ).

fof(f727,plain,
    ( spl0_40
    | spl0_100
    | spl0_36 ),
    inference(avatar_split_clause,[],[f33,f276,f548,f290]) ).

fof(f728,plain,
    ( spl0_28
    | spl0_45
    | spl0_51 ),
    inference(avatar_split_clause,[],[f32,f331,f309,f248]) ).

fof(f729,plain,
    ( spl0_31
    | spl0_50
    | spl0_47 ),
    inference(avatar_split_clause,[],[f31,f316,f327,f258]) ).

fof(f731,plain,
    ( spl0_97
    | spl0_44
    | spl0_22 ),
    inference(avatar_split_clause,[],[f30,f227,f305,f537]) ).

fof(f733,plain,
    ( spl0_95
    | spl0_47
    | spl0_55 ),
    inference(avatar_split_clause,[],[f29,f348,f316,f530]) ).

fof(f741,plain,
    ( spl0_3
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f22,f227,f160]) ).

fof(f757,plain,
    ( spl0_3
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f6,f537,f160]) ).

fof(f761,plain,
    ( spl0_3
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f2,f305,f160]) ).

fof(f767,definition,
    ( spl0_144
  <=> c3_1(a30) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f768,plain,
    ( c3_1(a30)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f772,definition,
    ( spl0_145
  <=> c3_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f801,definition,
    ( spl0_147
  <=> c3_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f802,plain,
    ( ~ c3_1(a31)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f814,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(resolution,[],[f188,f158]) ).

fof(f815,plain,
    ( c3_1(a45)
    | ~ c0_1(a45)
    | ~ spl0_11
    | spl0_99 ),
    inference(resolution,[],[f188,f545]) ).

fof(f816,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f814]) ).

fof(f820,plain,
    ( c3_1(a31)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f827,plain,
    ( c2_1(a6)
    | ~ c3_1(a6)
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(resolution,[],[f191,f576]) ).

fof(f831,plain,
    ( ~ spl0_106
    | spl0_66
    | ~ spl0_12
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f827,f575,f190,f398,f571]) ).

fof(f836,definition,
    ( spl0_148
  <=> c0_1(a6) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f841,plain,
    ( c2_1(a1)
    | c0_1(a1)
    | ~ spl0_16
    | ~ spl0_103 ),
    inference(resolution,[],[f207,f560]) ).

fof(f848,plain,
    ( spl0_58
    | spl0_57
    | ~ spl0_16
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f841,f559,f206,f358,f362]) ).

fof(f850,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(resolution,[],[f204,f191]) ).

fof(f851,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(resolution,[],[f204,f158]) ).

fof(f853,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f851]) ).

fof(f854,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f850]) ).

fof(f855,plain,
    ( spl0_10
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f853,f203,f157,f184]) ).

fof(f856,plain,
    ( spl0_16
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f854,f203,f190,f206]) ).

fof(f857,plain,
    ( ~ c2_1(a53)
    | ~ c3_1(a53)
    | ~ spl0_9
    | spl0_101 ),
    inference(resolution,[],[f552,f181]) ).

fof(f861,definition,
    ( spl0_149
  <=> c2_1(a53) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f865,plain,
    ( ~ spl0_131
    | ~ spl0_149
    | ~ spl0_9
    | spl0_101 ),
    inference(avatar_split_clause,[],[f857,f551,f180,f861,f671]) ).

fof(f868,plain,
    ( c2_1(a53)
    | c0_1(a53)
    | ~ spl0_16
    | ~ spl0_131 ),
    inference(resolution,[],[f207,f672]) ).

fof(f872,plain,
    ( spl0_102
    | spl0_149
    | ~ spl0_16
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f868,f671,f206,f861,f555]) ).

fof(f877,definition,
    ( spl0_150
  <=> c0_1(a4) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f883,plain,
    ( c3_1(a4)
    | c2_1(a4)
    | ~ spl0_2
    | ~ spl0_105 ),
    inference(resolution,[],[f568,f158]) ).

fof(f885,plain,
    ( spl0_62
    | spl0_61
    | ~ spl0_2
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f883,f567,f157,f376,f380]) ).

fof(f889,definition,
    ( spl0_151
  <=> c0_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f908,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(resolution,[],[f214,f168]) ).

fof(f912,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f908]) ).

fof(f918,plain,
    ( ~ c0_1(a31)
    | ~ c2_1(a31)
    | ~ spl0_19
    | spl0_147 ),
    inference(resolution,[],[f217,f802]) ).

fof(f932,definition,
    ( spl0_152
  <=> c2_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f945,plain,
    ( ~ spl0_130
    | spl0_98
    | ~ spl0_11
    | spl0_99 ),
    inference(avatar_split_clause,[],[f815,f544,f187,f540,f667]) ).

fof(f974,definition,
    ( spl0_153
  <=> c0_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f986,plain,
    ( c3_1(a19)
    | ~ c0_1(a19)
    | ~ spl0_11
    | spl0_76 ),
    inference(resolution,[],[f188,f446]) ).

fof(f1002,plain,
    ( c0_1(a22)
    | c2_1(a22)
    | ~ spl0_10
    | spl0_80 ),
    inference(resolution,[],[f185,f464]) ).

fof(f1004,plain,
    ( spl0_81
    | spl0_82
    | ~ spl0_10
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1002,f463,f184,f471,f467]) ).

fof(f1006,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(resolution,[],[f224,f175]) ).

fof(f1011,plain,
    ( c0_1(a6)
    | ~ c3_1(a6)
    | ~ spl0_21
    | ~ spl0_107 ),
    inference(resolution,[],[f224,f576]) ).

fof(f1012,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f1006]) ).

fof(f1013,plain,
    ( ~ c3_1(a8)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f1018,plain,
    ( spl0_18
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f1012,f223,f174,f213]) ).

fof(f1026,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f816,f187,f157,f154]) ).

fof(f1028,plain,
    ( ~ spl0_153
    | spl0_75
    | ~ spl0_11
    | spl0_76 ),
    inference(avatar_split_clause,[],[f986,f445,f187,f441,f974]) ).

fof(f1035,definition,
    ( spl0_154
  <=> c0_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1061,plain,
    ( ~ c2_1(a53)
    | c0_1(a53)
    | ~ spl0_7
    | spl0_101 ),
    inference(resolution,[],[f175,f552]) ).

fof(f1065,plain,
    ( spl0_102
    | ~ spl0_149
    | ~ spl0_7
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1061,f551,f174,f861,f555]) ).

fof(f1085,plain,
    ( c2_1(a30)
    | ~ c3_1(a30)
    | ~ spl0_12
    | ~ spl0_122 ),
    inference(resolution,[],[f191,f636]) ).

fof(f1086,plain,
    ( c2_1(a8)
    | ~ c3_1(a8)
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(resolution,[],[f191,f588]) ).

fof(f1092,plain,
    ( c0_1(a3)
    | ~ c2_1(a3)
    | ~ spl0_18
    | ~ spl0_132 ),
    inference(resolution,[],[f214,f676]) ).

fof(f1095,plain,
    ( c0_1(a33)
    | ~ c2_1(a33)
    | ~ spl0_18
    | ~ spl0_125 ),
    inference(resolution,[],[f214,f648]) ).

fof(f1103,plain,
    ( ~ spl0_133
    | spl0_151
    | ~ spl0_18
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1092,f675,f213,f889,f680]) ).

fof(f1145,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(resolution,[],[f252,f191]) ).

fof(f1147,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(resolution,[],[f252,f158]) ).

fof(f1151,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(duplicate_literal_removal,[],[f1147]) ).

fof(f1152,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(duplicate_literal_removal,[],[f1145]) ).

fof(f1153,plain,
    ( spl0_27
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1152,f251,f190,f244]) ).

fof(f1154,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(resolution,[],[f245,f155]) ).

fof(f1166,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f1154]) ).

fof(f1180,definition,
    ( spl0_156
  <=> c3_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1189,plain,
    ( c0_1(a5)
    | c2_1(a5)
    | ~ spl0_10
    | spl0_63 ),
    inference(resolution,[],[f386,f185]) ).

fof(f1213,plain,
    ( c0_1(a3)
    | ~ c3_1(a3)
    | ~ spl0_21
    | ~ spl0_134 ),
    inference(resolution,[],[f224,f685]) ).

fof(f1214,plain,
    ( c0_1(a30)
    | ~ c3_1(a30)
    | ~ spl0_21
    | ~ spl0_122 ),
    inference(resolution,[],[f224,f636]) ).

fof(f1219,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(resolution,[],[f235,f178]) ).

fof(f1222,plain,
    ( c3_1(a31)
    | ~ c2_1(a31)
    | ~ spl0_24
    | spl0_88 ),
    inference(resolution,[],[f235,f500]) ).

fof(f1223,plain,
    ( c3_1(a24)
    | ~ c2_1(a24)
    | ~ spl0_24
    | spl0_83 ),
    inference(resolution,[],[f235,f477]) ).

fof(f1227,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(duplicate_literal_removal,[],[f1219]) ).

fof(f1237,plain,
    ( ~ c0_1(a31)
    | ~ c3_1(a31)
    | ~ spl0_30
    | spl0_88 ),
    inference(resolution,[],[f255,f500]) ).

fof(f1243,plain,
    ( ~ spl0_147
    | ~ spl0_124
    | ~ spl0_30
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1237,f499,f254,f643,f801]) ).

fof(f1251,plain,
    ( ~ spl0_123
    | spl0_147
    | ~ spl0_24
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1222,f499,f234,f801,f639]) ).

fof(f1255,plain,
    ( c2_1(a15)
    | ~ c3_1(a15)
    | ~ spl0_26
    | spl0_71 ),
    inference(resolution,[],[f423,f242]) ).

fof(f1257,definition,
    ( spl0_157
  <=> c3_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1258,plain,
    ( ~ c3_1(a15)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1257]) ).

fof(f1260,plain,
    ( ~ spl0_157
    | spl0_70
    | ~ spl0_26
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1255,f422,f241,f418,f1257]) ).

fof(f1273,definition,
    ( spl0_158
  <=> c0_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1286,definition,
    ( spl0_159
  <=> c3_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1287,plain,
    ( c3_1(a9)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1286]) ).

fof(f1332,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1151,f251,f157,f154]) ).

fof(f1346,plain,
    ( c2_1(a4)
    | c0_1(a4)
    | ~ spl0_33
    | ~ spl0_105 ),
    inference(resolution,[],[f568,f266]) ).

fof(f1349,plain,
    ( c3_1(a4)
    | c0_1(a4)
    | ~ spl0_8
    | ~ spl0_105 ),
    inference(resolution,[],[f568,f178]) ).

fof(f1350,plain,
    ( spl0_150
    | spl0_61
    | ~ spl0_8
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1349,f567,f177,f376,f877]) ).

fof(f1367,plain,
    ( ~ c0_1(a16)
    | c2_1(a16)
    | ~ spl0_1
    | spl0_72 ),
    inference(resolution,[],[f155,f428]) ).

fof(f1369,plain,
    ( ~ c0_1(a4)
    | c2_1(a4)
    | ~ spl0_1
    | spl0_61 ),
    inference(resolution,[],[f155,f377]) ).

fof(f1371,plain,
    ( ~ c0_1(a5)
    | c2_1(a5)
    | ~ spl0_1
    | spl0_63 ),
    inference(resolution,[],[f155,f386]) ).

fof(f1374,plain,
    ( spl0_64
    | ~ spl0_154
    | ~ spl0_1
    | spl0_63 ),
    inference(avatar_split_clause,[],[f1371,f385,f154,f1035,f389]) ).

fof(f1375,plain,
    ( spl0_62
    | ~ spl0_150
    | ~ spl0_1
    | spl0_61 ),
    inference(avatar_split_clause,[],[f1369,f376,f154,f877,f380]) ).

fof(f1377,plain,
    ( spl0_73
    | ~ spl0_115
    | ~ spl0_1
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1367,f427,f154,f607,f431]) ).

fof(f1380,plain,
    ( ~ c2_1(a24)
    | ~ c3_1(a24)
    | ~ spl0_9
    | spl0_83 ),
    inference(resolution,[],[f181,f477]) ).

fof(f1386,plain,
    ( ~ spl0_156
    | ~ spl0_119
    | ~ spl0_9
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1380,f476,f180,f623,f1180]) ).

fof(f1390,plain,
    ( c3_1(a15)
    | ~ c0_1(a15)
    | ~ spl0_11
    | spl0_71 ),
    inference(resolution,[],[f188,f423]) ).

fof(f1394,plain,
    ( c3_1(a15)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1257]) ).

fof(f1395,plain,
    ( ~ spl0_114
    | spl0_157
    | ~ spl0_11
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1390,f422,f187,f1257,f603]) ).

fof(f1411,plain,
    ( ~ c2_1(a24)
    | c0_1(a24)
    | ~ spl0_7
    | spl0_83 ),
    inference(resolution,[],[f175,f477]) ).

fof(f1416,plain,
    ( spl0_84
    | ~ spl0_119
    | ~ spl0_7
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1411,f476,f174,f623,f480]) ).

fof(f1420,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_24
    | ~ spl0_34 ),
    inference(resolution,[],[f269,f235]) ).

fof(f1427,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_24
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f1420]) ).

fof(f1435,plain,
    ( c0_1(a7)
    | ~ c2_1(a7)
    | ~ spl0_18
    | ~ spl0_108 ),
    inference(resolution,[],[f580,f214]) ).

fof(f1436,plain,
    ( c2_1(a7)
    | c0_1(a7)
    | ~ spl0_16
    | ~ spl0_108 ),
    inference(resolution,[],[f580,f207]) ).

fof(f1439,definition,
    ( spl0_160
  <=> c2_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1441,plain,
    ( spl0_67
    | spl0_160
    | ~ spl0_16
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1436,f579,f206,f1439,f403]) ).

fof(f1448,plain,
    ( c0_1(a7)
    | ~ c3_1(a7)
    | ~ spl0_21
    | ~ spl0_109 ),
    inference(resolution,[],[f584,f224]) ).

fof(f1449,plain,
    ( c2_1(a7)
    | ~ c3_1(a7)
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(resolution,[],[f584,f191]) ).

fof(f1451,plain,
    ( ~ spl0_108
    | spl0_160
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1449,f583,f190,f1439,f579]) ).

fof(f1458,plain,
    ( c3_1(a9)
    | ~ c2_1(a9)
    | ~ spl0_34
    | ~ spl0_136 ),
    inference(resolution,[],[f269,f694]) ).

fof(f1469,plain,
    ( ~ spl0_135
    | spl0_159
    | ~ spl0_34
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1458,f693,f268,f1286,f688]) ).

fof(f1472,plain,
    ( c2_1(a30)
    | c0_1(a30)
    | ~ spl0_16
    | ~ spl0_144 ),
    inference(resolution,[],[f768,f207]) ).

fof(f1475,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(resolution,[],[f273,f191]) ).

fof(f1476,plain,
    ( ~ c3_1(a24)
    | c0_1(a24)
    | ~ spl0_35
    | spl0_83 ),
    inference(resolution,[],[f273,f477]) ).

fof(f1480,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(duplicate_literal_removal,[],[f1475]) ).

fof(f1483,plain,
    ( spl0_84
    | ~ spl0_156
    | ~ spl0_35
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1476,f476,f272,f1180,f480]) ).

fof(f1490,plain,
    ( c3_1(a24)
    | c0_1(a24)
    | ~ spl0_37
    | spl0_83 ),
    inference(resolution,[],[f280,f477]) ).

fof(f1493,plain,
    ( c3_1(a5)
    | c0_1(a5)
    | ~ spl0_37
    | spl0_65 ),
    inference(resolution,[],[f280,f394]) ).

fof(f1500,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_34
    | ~ spl0_41 ),
    inference(resolution,[],[f294,f269]) ).

fof(f1507,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_34
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1500]) ).

fof(f1508,plain,
    ( spl0_19
    | ~ spl0_34
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1507,f293,f268,f216]) ).

fof(f1551,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_9
    | ~ spl0_42 ),
    inference(resolution,[],[f298,f181]) ).

fof(f1552,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_24
    | ~ spl0_42 ),
    inference(resolution,[],[f298,f235]) ).

fof(f1555,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_35
    | ~ spl0_42 ),
    inference(resolution,[],[f298,f273]) ).

fof(f1558,plain,
    ( c0_1(a3)
    | ~ c2_1(a3)
    | ~ spl0_42
    | ~ spl0_134 ),
    inference(resolution,[],[f298,f685]) ).

fof(f1561,plain,
    ( c0_1(a7)
    | ~ c2_1(a7)
    | ~ spl0_42
    | ~ spl0_109 ),
    inference(resolution,[],[f298,f584]) ).

fof(f1564,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_35
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f1555]) ).

fof(f1565,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_24
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f1552]) ).

fof(f1566,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_9
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f1551]) ).

fof(f1573,plain,
    ( ~ c0_1(a8)
    | c2_1(a8)
    | ~ spl0_1
    | spl0_145 ),
    inference(resolution,[],[f1013,f155]) ).

fof(f1575,plain,
    ( spl0_68
    | ~ spl0_111
    | ~ spl0_1
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1573,f772,f154,f591,f408]) ).

fof(f1599,plain,
    ( ~ c0_1(a15)
    | c2_1(a15)
    | ~ spl0_1
    | spl0_157 ),
    inference(resolution,[],[f1258,f155]) ).

fof(f1601,plain,
    ( spl0_70
    | ~ spl0_114
    | ~ spl0_1
    | spl0_157 ),
    inference(avatar_split_clause,[],[f1599,f1257,f154,f603,f418]) ).

fof(f1609,plain,
    ( c2_1(a15)
    | ~ c0_1(a15)
    | ~ spl0_27
    | ~ spl0_157 ),
    inference(resolution,[],[f1394,f245]) ).

fof(f1628,plain,
    ( ~ c2_1(a24)
    | ~ spl0_5
    | ~ spl0_18
    | spl0_84 ),
    inference(resolution,[],[f912,f481]) ).

fof(f1673,plain,
    ( ~ c2_1(a18)
    | ~ spl0_24
    | ~ spl0_34
    | spl0_74 ),
    inference(resolution,[],[f1427,f437]) ).

fof(f1683,plain,
    ( ~ spl0_116
    | ~ spl0_24
    | ~ spl0_34
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1673,f436,f268,f234,f611]) ).

fof(f1686,plain,
    ( c2_1(a8)
    | ~ spl0_1
    | ~ spl0_27
    | ~ spl0_111 ),
    inference(resolution,[],[f592,f1166]) ).

fof(f1687,plain,
    ( spl0_68
    | ~ spl0_1
    | ~ spl0_27
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1686,f591,f244,f154,f408]) ).

fof(f1692,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(resolution,[],[f266,f280]) ).

fof(f1695,plain,
    ( c2_1(a30)
    | c0_1(a30)
    | ~ spl0_33
    | ~ spl0_122 ),
    inference(resolution,[],[f266,f636]) ).

fof(f1698,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f1692]) ).

fof(f1702,plain,
    ( spl0_10
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1698,f279,f265,f184]) ).

fof(f1704,plain,
    ( ~ c2_1(a2)
    | c0_1(a2)
    | ~ spl0_5
    | spl0_59 ),
    inference(resolution,[],[f368,f168]) ).

fof(f1710,plain,
    ( spl0_5
    | ~ spl0_24
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f1565,f297,f234,f167]) ).

fof(f1718,plain,
    ( c3_1(a19)
    | ~ c2_1(a19)
    | ~ spl0_24
    | spl0_76 ),
    inference(resolution,[],[f446,f235]) ).

fof(f1726,definition,
    ( spl0_161
  <=> c2_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1732,definition,
    ( spl0_162
  <=> c2_1(a32) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1744,definition,
    ( spl0_163
  <=> c2_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1747,plain,
    ( c2_1(a11)
    | ~ c3_1(a11)
    | ~ spl0_12
    | ~ spl0_142 ),
    inference(resolution,[],[f720,f191]) ).

fof(f1750,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(resolution,[],[f171,f235]) ).

fof(f1753,plain,
    ( ~ c2_1(a9)
    | ~ c0_1(a9)
    | ~ spl0_6
    | ~ spl0_136 ),
    inference(resolution,[],[f171,f694]) ).

fof(f1754,plain,
    ( ~ c2_1(a3)
    | ~ c0_1(a3)
    | ~ spl0_6
    | ~ spl0_134 ),
    inference(resolution,[],[f171,f685]) ).

fof(f1756,plain,
    ( ~ c2_1(a25)
    | ~ c0_1(a25)
    | ~ spl0_6
    | ~ spl0_120 ),
    inference(resolution,[],[f171,f628]) ).

fof(f1760,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(duplicate_literal_removal,[],[f1750]) ).

fof(f1762,plain,
    ( ~ spl0_121
    | ~ spl0_161
    | ~ spl0_6
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1756,f627,f170,f1726,f631]) ).

fof(f1763,plain,
    ( ~ spl0_151
    | ~ spl0_133
    | ~ spl0_6
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1754,f684,f170,f680,f889]) ).

fof(f1769,plain,
    ( spl0_19
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1760,f234,f170,f216]) ).

fof(f1775,plain,
    ( spl0_60
    | ~ spl0_104
    | ~ spl0_5
    | spl0_59 ),
    inference(avatar_split_clause,[],[f1704,f367,f167,f563,f371]) ).

fof(f1778,plain,
    ( spl0_5
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1227,f234,f177,f167]) ).

fof(f1791,plain,
    ( ~ spl0_114
    | spl0_70
    | ~ spl0_27
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1609,f1257,f244,f418,f603]) ).

fof(f1798,plain,
    ( spl0_18
    | ~ spl0_35
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f1564,f297,f272,f213]) ).

fof(f1814,plain,
    ( spl0_87
    | spl0_86
    | ~ spl0_16
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1472,f767,f206,f490,f494]) ).

fof(f1854,plain,
    ( ~ c2_1(a42)
    | c0_1(a42)
    | ~ spl0_7
    | spl0_96 ),
    inference(resolution,[],[f175,f534]) ).

fof(f1856,plain,
    ( ~ c2_1(a32)
    | c0_1(a32)
    | ~ spl0_7
    | spl0_90 ),
    inference(resolution,[],[f175,f509]) ).

fof(f1858,plain,
    ( spl0_91
    | ~ spl0_162
    | ~ spl0_7
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1856,f508,f174,f1732,f512]) ).

fof(f1859,plain,
    ( spl0_158
    | ~ spl0_129
    | ~ spl0_7
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1854,f533,f174,f663,f1273]) ).

fof(f1864,plain,
    ( c3_1(a30)
    | c0_1(a30)
    | ~ spl0_8
    | ~ spl0_122 ),
    inference(resolution,[],[f178,f636]) ).

fof(f1870,plain,
    ( ~ c2_1(a42)
    | ~ c3_1(a42)
    | ~ spl0_9
    | spl0_96 ),
    inference(resolution,[],[f181,f534]) ).

fof(f1874,plain,
    ( ~ spl0_128
    | ~ spl0_129
    | ~ spl0_9
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1870,f533,f180,f663,f659]) ).

fof(f1880,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(resolution,[],[f200,f178]) ).

fof(f1884,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f1880]) ).

fof(f1887,plain,
    ( spl0_10
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1884,f199,f177,f184]) ).

fof(f1893,plain,
    ( ~ c0_1(a18)
    | ~ c2_1(a18)
    | ~ spl0_19
    | spl0_74 ),
    inference(resolution,[],[f217,f437]) ).

fof(f1902,plain,
    ( spl0_18
    | ~ spl0_9
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f1566,f297,f180,f213]) ).

fof(f1924,plain,
    ( ~ c2_1(a19)
    | c0_1(a19)
    | ~ spl0_7
    | spl0_76 ),
    inference(resolution,[],[f446,f175]) ).

fof(f1925,plain,
    ( spl0_153
    | ~ spl0_118
    | ~ spl0_7
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1924,f445,f174,f619,f974]) ).

fof(f1926,plain,
    ( ~ c0_1(a25)
    | c2_1(a25)
    | ~ spl0_1
    | spl0_85 ),
    inference(resolution,[],[f486,f155]) ).

fof(f1927,plain,
    ( spl0_161
    | ~ spl0_121
    | ~ spl0_1
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1926,f485,f154,f631,f1726]) ).

fof(f1943,plain,
    ( ~ c0_1(a11)
    | ~ c2_1(a11)
    | ~ spl0_4
    | ~ spl0_141 ),
    inference(resolution,[],[f164,f715]) ).

fof(f1944,plain,
    ( ~ c0_1(a10)
    | ~ c2_1(a10)
    | ~ spl0_4
    | ~ spl0_138 ),
    inference(resolution,[],[f164,f702]) ).

fof(f1945,plain,
    ( ~ c0_1(a9)
    | ~ c2_1(a9)
    | ~ spl0_4
    | ~ spl0_159 ),
    inference(resolution,[],[f164,f1287]) ).

fof(f1946,plain,
    ( ~ c0_1(a3)
    | ~ c2_1(a3)
    | ~ spl0_4
    | ~ spl0_132 ),
    inference(resolution,[],[f164,f676]) ).

fof(f1949,plain,
    ( ~ c0_1(a42)
    | ~ c2_1(a42)
    | ~ spl0_4
    | ~ spl0_128 ),
    inference(resolution,[],[f164,f660]) ).

fof(f1951,plain,
    ( ~ c0_1(a31)
    | ~ c2_1(a31)
    | ~ spl0_4
    | ~ spl0_147 ),
    inference(resolution,[],[f164,f820]) ).

fof(f1960,plain,
    ( ~ spl0_129
    | ~ spl0_158
    | ~ spl0_4
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1949,f659,f163,f1273,f663]) ).

fof(f1962,plain,
    ( ~ spl0_133
    | ~ spl0_151
    | ~ spl0_4
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1946,f675,f163,f889,f680]) ).

fof(f1963,plain,
    ( ~ spl0_135
    | ~ spl0_137
    | ~ spl0_4
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1945,f1286,f163,f697,f688]) ).

fof(f1964,plain,
    ( ~ spl0_139
    | ~ spl0_140
    | ~ spl0_4
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1944,f701,f163,f710,f706]) ).

fof(f1965,plain,
    ( ~ spl0_163
    | ~ spl0_143
    | ~ spl0_4
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1943,f714,f163,f723,f1744]) ).

fof(f1968,plain,
    ( c0_1(a37)
    | c2_1(a37)
    | ~ spl0_10
    | spl0_93 ),
    inference(resolution,[],[f185,f523]) ).

fof(f1975,plain,
    ( c0_1(a32)
    | c2_1(a32)
    | ~ spl0_10
    | spl0_89 ),
    inference(resolution,[],[f185,f505]) ).

fof(f1994,plain,
    ( c2_1(a15)
    | ~ c0_1(a15)
    | ~ spl0_29
    | spl0_71 ),
    inference(resolution,[],[f252,f423]) ).

fof(f1998,plain,
    ( ~ spl0_114
    | spl0_70
    | ~ spl0_29
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1994,f422,f251,f418,f603]) ).

fof(f2022,plain,
    ( ~ spl0_116
    | ~ spl0_117
    | ~ spl0_19
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1893,f436,f216,f615,f611]) ).

fof(f2026,plain,
    ( ~ spl0_123
    | ~ spl0_124
    | ~ spl0_4
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1951,f801,f163,f643,f639]) ).

fof(f2030,plain,
    ( ~ c2_1(a37)
    | c0_1(a37)
    | ~ spl0_5
    | spl0_93 ),
    inference(resolution,[],[f168,f523]) ).

fof(f2032,plain,
    ( ~ c2_1(a19)
    | c0_1(a19)
    | ~ spl0_5
    | spl0_75 ),
    inference(resolution,[],[f168,f442]) ).

fof(f2036,plain,
    ( ~ c2_1(a32)
    | c0_1(a32)
    | ~ spl0_5
    | spl0_89 ),
    inference(resolution,[],[f168,f505]) ).

fof(f2040,plain,
    ( spl0_153
    | ~ spl0_118
    | ~ spl0_5
    | spl0_75 ),
    inference(avatar_split_clause,[],[f2032,f441,f167,f619,f974]) ).

fof(f2042,plain,
    ( ~ c2_1(a31)
    | ~ c3_1(a31)
    | ~ spl0_9
    | spl0_88 ),
    inference(resolution,[],[f181,f500]) ).

fof(f2045,plain,
    ( ~ spl0_147
    | ~ spl0_123
    | ~ spl0_9
    | spl0_88 ),
    inference(avatar_split_clause,[],[f2042,f499,f180,f639,f801]) ).

fof(f2046,plain,
    ( c3_1(a31)
    | ~ c0_1(a31)
    | ~ spl0_11
    | spl0_88 ),
    inference(resolution,[],[f188,f500]) ).

fof(f2049,plain,
    ( ~ spl0_124
    | spl0_147
    | ~ spl0_11
    | spl0_88 ),
    inference(avatar_split_clause,[],[f2046,f499,f187,f801,f643]) ).

fof(f2053,plain,
    ( c2_1(a32)
    | c0_1(a32)
    | ~ spl0_15
    | spl0_90 ),
    inference(resolution,[],[f204,f509]) ).

fof(f2054,plain,
    ( spl0_91
    | spl0_162
    | ~ spl0_15
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2053,f508,f203,f1732,f512]) ).

fof(f2070,plain,
    ( c2_1(a6)
    | c0_1(a6)
    | ~ spl0_16
    | ~ spl0_106 ),
    inference(resolution,[],[f207,f572]) ).

fof(f2072,plain,
    ( spl0_148
    | spl0_66
    | ~ spl0_16
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2070,f571,f206,f398,f836]) ).

fof(f2076,plain,
    ( ~ c0_1(a25)
    | ~ c2_1(a25)
    | ~ spl0_19
    | spl0_85 ),
    inference(resolution,[],[f217,f486]) ).

fof(f2088,plain,
    ( c3_1(a32)
    | c0_1(a32)
    | ~ spl0_37
    | spl0_90 ),
    inference(resolution,[],[f280,f509]) ).

fof(f2107,plain,
    ( c2_1(a11)
    | ~ c0_1(a11)
    | ~ spl0_27
    | ~ spl0_141 ),
    inference(resolution,[],[f245,f715]) ).

fof(f2113,plain,
    ( c2_1(a14)
    | ~ c0_1(a14)
    | ~ spl0_27
    | ~ spl0_112 ),
    inference(resolution,[],[f245,f596]) ).

fof(f2115,plain,
    ( c2_1(a6)
    | ~ c0_1(a6)
    | ~ spl0_27
    | ~ spl0_106 ),
    inference(resolution,[],[f245,f572]) ).

fof(f2119,plain,
    ( ~ spl0_143
    | spl0_163
    | ~ spl0_27
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2107,f714,f244,f1744,f723]) ).

fof(f2124,plain,
    ( spl0_152
    | spl0_94
    | ~ spl0_10
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1968,f522,f184,f526,f932]) ).

fof(f2127,plain,
    ( spl0_162
    | spl0_91
    | ~ spl0_10
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1975,f504,f184,f512,f1732]) ).

fof(f2130,plain,
    ( ~ spl0_144
    | spl0_86
    | ~ spl0_12
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1085,f635,f190,f490,f767]) ).

fof(f2131,plain,
    ( ~ spl0_145
    | spl0_68
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1086,f587,f190,f408,f772]) ).

fof(f2132,plain,
    ( ~ spl0_141
    | spl0_163
    | ~ spl0_12
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1747,f719,f190,f1744,f714]) ).

fof(f2133,plain,
    ( spl0_16
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1480,f272,f190,f206]) ).

fof(f2136,plain,
    ( ~ spl0_126
    | spl0_92
    | ~ spl0_18
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1095,f647,f213,f517,f651]) ).

fof(f2141,plain,
    ( ~ spl0_160
    | spl0_67
    | ~ spl0_18
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1435,f579,f213,f403,f1439]) ).

fof(f2142,plain,
    ( ~ spl0_119
    | ~ spl0_5
    | ~ spl0_18
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1628,f480,f213,f167,f623]) ).

fof(f2145,plain,
    ( ~ spl0_132
    | spl0_151
    | ~ spl0_21
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1213,f684,f223,f889,f675]) ).

fof(f2146,plain,
    ( ~ spl0_144
    | spl0_87
    | ~ spl0_21
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1214,f635,f223,f494,f767]) ).

fof(f2150,plain,
    ( ~ spl0_108
    | spl0_67
    | ~ spl0_21
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1448,f583,f223,f403,f579]) ).

fof(f2154,plain,
    ( spl0_150
    | spl0_62
    | ~ spl0_33
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1346,f567,f265,f380,f877]) ).

fof(f2157,plain,
    ( spl0_87
    | spl0_86
    | ~ spl0_33
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1695,f635,f265,f490,f494]) ).

fof(f2158,plain,
    ( ~ spl0_133
    | spl0_151
    | ~ spl0_42
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1558,f684,f297,f889,f680]) ).

fof(f2159,plain,
    ( ~ spl0_160
    | spl0_67
    | ~ spl0_42
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1561,f583,f297,f403,f1439]) ).

fof(f2177,plain,
    ( spl0_87
    | spl0_144
    | ~ spl0_8
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1864,f635,f177,f767,f494]) ).

fof(f2179,plain,
    ( spl0_64
    | spl0_154
    | ~ spl0_10
    | spl0_63 ),
    inference(avatar_split_clause,[],[f1189,f385,f184,f1035,f389]) ).

fof(f2187,plain,
    ( c3_1(a30)
    | c2_1(a30)
    | ~ spl0_2
    | ~ spl0_122 ),
    inference(resolution,[],[f158,f636]) ).

fof(f2194,plain,
    ( spl0_86
    | spl0_144
    | ~ spl0_2
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2187,f635,f157,f767,f490]) ).

fof(f2199,plain,
    ( c3_1(a37)
    | c0_1(a37)
    | ~ spl0_8
    | ~ spl0_127 ),
    inference(resolution,[],[f178,f656]) ).

fof(f2205,plain,
    ( spl0_94
    | spl0_93
    | ~ spl0_8
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2199,f655,f177,f522,f526]) ).

fof(f2212,plain,
    ( spl0_94
    | ~ spl0_152
    | ~ spl0_5
    | spl0_93 ),
    inference(avatar_split_clause,[],[f2030,f522,f167,f932,f526]) ).

fof(f2213,plain,
    ( spl0_91
    | ~ spl0_162
    | ~ spl0_5
    | spl0_89 ),
    inference(avatar_split_clause,[],[f2036,f504,f167,f1732,f512]) ).

fof(f2215,plain,
    ( ~ spl0_137
    | ~ spl0_135
    | ~ spl0_6
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1753,f693,f170,f688,f697]) ).

fof(f2216,plain,
    ( ~ spl0_123
    | ~ spl0_124
    | ~ spl0_19
    | spl0_147 ),
    inference(avatar_split_clause,[],[f918,f801,f216,f643,f639]) ).

fof(f2222,plain,
    ( ~ spl0_161
    | ~ spl0_121
    | ~ spl0_19
    | spl0_85 ),
    inference(avatar_split_clause,[],[f2076,f485,f216,f631,f1726]) ).

fof(f2224,plain,
    ( ~ spl0_106
    | spl0_148
    | ~ spl0_21
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1011,f575,f223,f836,f571]) ).

fof(f2226,plain,
    ( ~ spl0_118
    | spl0_75
    | ~ spl0_24
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1718,f445,f234,f441,f619]) ).

fof(f2228,plain,
    ( ~ spl0_119
    | spl0_156
    | ~ spl0_24
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1223,f476,f234,f1180,f623]) ).

fof(f2234,plain,
    ( ~ spl0_148
    | spl0_66
    | ~ spl0_27
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2115,f571,f244,f398,f836]) ).

fof(f2236,plain,
    ( ~ spl0_113
    | spl0_69
    | ~ spl0_27
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2113,f595,f244,f413,f599]) ).

fof(f2237,plain,
    ( spl0_154
    | spl0_63
    | ~ spl0_37
    | spl0_65 ),
    inference(avatar_split_clause,[],[f1493,f393,f279,f385,f1035]) ).

fof(f2238,plain,
    ( spl0_84
    | spl0_156
    | ~ spl0_37
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1490,f476,f279,f1180,f480]) ).

fof(f2241,plain,
    ( spl0_91
    | spl0_89
    | ~ spl0_37
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2088,f508,f279,f504,f512]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f165]) ).

cnf(s2,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f172]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f182]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f192]) ).

cnf(s5,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_7
    | spl0_11 ),
    inference(sat_conversion,[],[f193]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f197]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_10
    | spl0_14 ),
    inference(sat_conversion,[],[f201]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f208]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f218]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f225]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_24 ),
    inference(sat_conversion,[],[f236]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f246]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_28
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f256]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_21
    | spl0_31 ),
    inference(sat_conversion,[],[f260]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_32
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f270]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_31
    | spl0_35 ),
    inference(sat_conversion,[],[f274]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_37
    | spl0_39 ),
    inference(sat_conversion,[],[f288]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f295]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_37
    | spl0_42 ),
    inference(sat_conversion,[],[f299]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_20
    | spl0_22 ),
    inference(sat_conversion,[],[f300]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f307]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_36
    | spl0_45 ),
    inference(sat_conversion,[],[f311]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f318]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_42
    | spl0_45
    | spl0_50 ),
    inference(sat_conversion,[],[f329]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_42
    | spl0_44
    | spl0_49 ),
    inference(sat_conversion,[],[f334]) ).

cnf(s30,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_44
    | spl0_52 ),
    inference(sat_conversion,[],[f338]) ).

cnf(s31,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_24
    | spl0_44 ),
    inference(sat_conversion,[],[f339]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f346]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_44
    | spl0_55 ),
    inference(sat_conversion,[],[f350]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f354]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_51 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s36,plain,
    ( ~ spl0_40
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s37,plain,
    ( ~ spl0_40
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s38,plain,
    ( ~ spl0_39
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s39,plain,
    ( ~ spl0_39
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s40,plain,
    ( ~ spl0_54
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s41,plain,
    ( ~ spl0_54
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s42,plain,
    ( ~ spl0_56
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f387]) ).

cnf(s43,plain,
    ( ~ spl0_56
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f391]) ).

cnf(s44,plain,
    ( ~ spl0_56
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s45,plain,
    ( ~ spl0_31
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s46,plain,
    ( ~ spl0_32
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s47,plain,
    ( ~ spl0_22
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s48,plain,
    ( ~ spl0_51
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s49,plain,
    ( ~ spl0_50
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s50,plain,
    ( ~ spl0_50
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s51,plain,
    ( ~ spl0_45
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s52,plain,
    ( ~ spl0_45
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f433]) ).

cnf(s53,plain,
    ( ~ spl0_20
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s54,plain,
    ( ~ spl0_17
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s55,plain,
    ( ~ spl0_17
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s59,plain,
    ( ~ spl0_28
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s60,plain,
    ( ~ spl0_28
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s61,plain,
    ( ~ spl0_28
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s62,plain,
    ( ~ spl0_53
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s63,plain,
    ( ~ spl0_53
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s64,plain,
    ( ~ spl0_25
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f487]) ).

cnf(s65,plain,
    ( ~ spl0_52
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s66,plain,
    ( ~ spl0_52
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s67,plain,
    ( ~ spl0_47
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s68,plain,
    ( ~ spl0_46
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s69,plain,
    ( ~ spl0_46
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s70,plain,
    ( ~ spl0_46
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s71,plain,
    ( ~ spl0_13
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s72,plain,
    ( ~ spl0_43
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s73,plain,
    ( ~ spl0_43
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f528]) ).

cnf(s74,plain,
    ( ~ spl0_95
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s75,plain,
    ( ~ spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f542]) ).

cnf(s76,plain,
    ( ~ spl0_97
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s77,plain,
    ( ~ spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s78,plain,
    ( ~ spl0_100
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s79,plain,
    ( ~ spl0_40
    | spl0_103 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s80,plain,
    ( ~ spl0_39
    | spl0_104 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s81,plain,
    ( ~ spl0_54
    | spl0_105 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s82,plain,
    ( ~ spl0_31
    | spl0_106 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s83,plain,
    ( ~ spl0_31
    | spl0_107 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s84,plain,
    ( ~ spl0_32
    | spl0_108 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s85,plain,
    ( ~ spl0_32
    | spl0_109 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s86,plain,
    ( ~ spl0_22
    | spl0_110 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s87,plain,
    ( ~ spl0_22
    | spl0_111 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s88,plain,
    ( ~ spl0_51
    | spl0_112 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s89,plain,
    ( ~ spl0_51
    | spl0_113 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s90,plain,
    ( ~ spl0_50
    | spl0_114 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s91,plain,
    ( ~ spl0_45
    | spl0_115 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s92,plain,
    ( ~ spl0_20
    | spl0_116 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s93,plain,
    ( ~ spl0_20
    | spl0_117 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s94,plain,
    ( ~ spl0_17
    | spl0_118 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s95,plain,
    ( ~ spl0_53
    | spl0_119 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s96,plain,
    ( ~ spl0_25
    | spl0_120 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s97,plain,
    ( ~ spl0_25
    | spl0_121 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s98,plain,
    ( ~ spl0_52
    | spl0_122 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s99,plain,
    ( ~ spl0_47
    | spl0_123 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s100,plain,
    ( ~ spl0_47
    | spl0_124 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s101,plain,
    ( ~ spl0_13
    | spl0_125 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s102,plain,
    ( ~ spl0_13
    | spl0_126 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s103,plain,
    ( ~ spl0_43
    | spl0_127 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s104,plain,
    ( ~ spl0_95
    | spl0_128 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s105,plain,
    ( ~ spl0_95
    | spl0_129 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s106,plain,
    ( ~ spl0_97
    | spl0_130 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s107,plain,
    ( ~ spl0_100
    | spl0_131 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s108,plain,
    ( ~ spl0_36
    | spl0_132 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s109,plain,
    ( ~ spl0_36
    | spl0_133 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s110,plain,
    ( ~ spl0_36
    | spl0_134 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s111,plain,
    ( ~ spl0_55
    | spl0_135 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s112,plain,
    ( ~ spl0_55
    | spl0_136 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s113,plain,
    ( ~ spl0_55
    | spl0_137 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s114,plain,
    ( ~ spl0_44
    | spl0_138 ),
    inference(sat_conversion,[],[f704]) ).

cnf(s115,plain,
    ( ~ spl0_44
    | spl0_139 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s116,plain,
    ( ~ spl0_44
    | spl0_140 ),
    inference(sat_conversion,[],[f712]) ).

cnf(s117,plain,
    ( ~ spl0_49
    | spl0_141 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s118,plain,
    ( ~ spl0_49
    | spl0_142 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s119,plain,
    ( ~ spl0_49
    | spl0_143 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s120,plain,
    ( spl0_36
    | spl0_40
    | spl0_100 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s121,plain,
    ( spl0_28
    | spl0_45
    | spl0_51 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s122,plain,
    ( spl0_31
    | spl0_47
    | spl0_50 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s123,plain,
    ( spl0_22
    | spl0_44
    | spl0_97 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s124,plain,
    ( spl0_47
    | spl0_55
    | spl0_95 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s131,plain,
    ( spl0_3
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s147,plain,
    ( spl0_3
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s151,plain,
    ( spl0_3
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s163,plain,
    ( ~ spl0_12
    | spl0_66
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s167,plain,
    ( ~ spl0_16
    | spl0_57
    | spl0_58
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s168,plain,
    ( ~ spl0_2
    | spl0_10
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s169,plain,
    ( ~ spl0_12
    | ~ spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s171,plain,
    ( ~ spl0_9
    | spl0_101
    | ~ spl0_131
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s172,plain,
    ( ~ spl0_16
    | spl0_102
    | ~ spl0_131
    | spl0_149 ),
    inference(sat_conversion,[],[f872]) ).

cnf(s175,plain,
    ( ~ spl0_2
    | spl0_61
    | spl0_62
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s191,plain,
    ( ~ spl0_11
    | spl0_98
    | spl0_99
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f945]) ).

cnf(s210,plain,
    ( ~ spl0_10
    | spl0_80
    | spl0_81
    | spl0_82 ),
    inference(sat_conversion,[],[f1004]) ).

cnf(s215,plain,
    ( ~ spl0_7
    | spl0_18
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f1018]) ).

cnf(s223,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f1026]) ).

cnf(s226,plain,
    ( ~ spl0_11
    | spl0_75
    | spl0_76
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1028]) ).

cnf(s238,plain,
    ( ~ spl0_7
    | spl0_101
    | spl0_102
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1065]) ).

cnf(s243,plain,
    ( ~ spl0_18
    | ~ spl0_132
    | ~ spl0_133
    | spl0_151 ),
    inference(sat_conversion,[],[f1103]) ).

cnf(s254,plain,
    ( ~ spl0_12
    | spl0_27
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f1153]) ).

cnf(s276,plain,
    ( ~ spl0_30
    | spl0_88
    | ~ spl0_124
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1243]) ).

cnf(s284,plain,
    ( ~ spl0_24
    | spl0_88
    | ~ spl0_123
    | spl0_147 ),
    inference(sat_conversion,[],[f1251]) ).

cnf(s286,plain,
    ( ~ spl0_26
    | spl0_70
    | spl0_71
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1260]) ).

cnf(s301,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f1332]) ).

cnf(s313,plain,
    ( ~ spl0_8
    | spl0_61
    | ~ spl0_105
    | spl0_150 ),
    inference(sat_conversion,[],[f1350]) ).

cnf(s321,plain,
    ( ~ spl0_1
    | spl0_63
    | spl0_64
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1374]) ).

cnf(s322,plain,
    ( ~ spl0_1
    | spl0_61
    | spl0_62
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1375]) ).

cnf(s324,plain,
    ( ~ spl0_1
    | spl0_72
    | spl0_73
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1377]) ).

cnf(s325,plain,
    ( ~ spl0_9
    | spl0_83
    | ~ spl0_119
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1386]) ).

cnf(s327,plain,
    ( ~ spl0_11
    | spl0_71
    | ~ spl0_114
    | spl0_157 ),
    inference(sat_conversion,[],[f1395]) ).

cnf(s336,plain,
    ( ~ spl0_7
    | spl0_83
    | spl0_84
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1416]) ).

cnf(s340,plain,
    ( ~ spl0_16
    | spl0_67
    | ~ spl0_108
    | spl0_160 ),
    inference(sat_conversion,[],[f1441]) ).

cnf(s346,plain,
    ( ~ spl0_12
    | ~ spl0_108
    | ~ spl0_109
    | spl0_160 ),
    inference(sat_conversion,[],[f1451]) ).

cnf(s350,plain,
    ( ~ spl0_34
    | ~ spl0_135
    | ~ spl0_136
    | spl0_159 ),
    inference(sat_conversion,[],[f1469]) ).

cnf(s352,plain,
    ( ~ spl0_35
    | spl0_83
    | spl0_84
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1483]) ).

cnf(s356,plain,
    ( spl0_19
    | ~ spl0_34
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1508]) ).

cnf(s370,plain,
    ( ~ spl0_1
    | spl0_68
    | ~ spl0_111
    | spl0_145 ),
    inference(sat_conversion,[],[f1575]) ).

cnf(s381,plain,
    ( ~ spl0_1
    | spl0_70
    | ~ spl0_114
    | spl0_157 ),
    inference(sat_conversion,[],[f1601]) ).

cnf(s386,plain,
    ( ~ spl0_24
    | ~ spl0_34
    | spl0_74
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1683]) ).

cnf(s389,plain,
    ( ~ spl0_1
    | ~ spl0_27
    | spl0_68
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f1687]) ).

cnf(s390,plain,
    ( spl0_10
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f1702]) ).

cnf(s394,plain,
    ( spl0_5
    | ~ spl0_24
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f1710]) ).

cnf(s411,plain,
    ( ~ spl0_6
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1762]) ).

cnf(s412,plain,
    ( ~ spl0_6
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1763]) ).

cnf(s415,plain,
    ( ~ spl0_6
    | spl0_19
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f1769]) ).

cnf(s418,plain,
    ( ~ spl0_5
    | spl0_59
    | spl0_60
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f1775]) ).

cnf(s421,plain,
    ( spl0_5
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f1778]) ).

cnf(s435,plain,
    ( ~ spl0_27
    | spl0_70
    | ~ spl0_114
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1791]) ).

cnf(s447,plain,
    ( spl0_18
    | ~ spl0_35
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f1798]) ).

cnf(s464,plain,
    ( ~ spl0_16
    | spl0_86
    | spl0_87
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1814]) ).

cnf(s488,plain,
    ( ~ spl0_7
    | spl0_90
    | spl0_91
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1858]) ).

cnf(s489,plain,
    ( ~ spl0_7
    | spl0_96
    | ~ spl0_129
    | spl0_158 ),
    inference(sat_conversion,[],[f1859]) ).

cnf(s490,plain,
    ( ~ spl0_9
    | spl0_96
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1874]) ).

cnf(s493,plain,
    ( ~ spl0_8
    | spl0_10
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f1887]) ).

cnf(s496,plain,
    ( ~ spl0_9
    | spl0_18
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f1902]) ).

cnf(s518,plain,
    ( ~ spl0_7
    | spl0_76
    | ~ spl0_118
    | spl0_153 ),
    inference(sat_conversion,[],[f1925]) ).

cnf(s519,plain,
    ( ~ spl0_1
    | spl0_85
    | ~ spl0_121
    | spl0_161 ),
    inference(sat_conversion,[],[f1927]) ).

cnf(s524,plain,
    ( ~ spl0_4
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1960]) ).

cnf(s526,plain,
    ( ~ spl0_4
    | ~ spl0_132
    | ~ spl0_133
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1962]) ).

cnf(s527,plain,
    ( ~ spl0_4
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1963]) ).

cnf(s528,plain,
    ( ~ spl0_4
    | ~ spl0_138
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1964]) ).

cnf(s529,plain,
    ( ~ spl0_4
    | ~ spl0_141
    | ~ spl0_143
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1965]) ).

cnf(s541,plain,
    ( ~ spl0_29
    | spl0_70
    | spl0_71
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1998]) ).

cnf(s565,plain,
    ( ~ spl0_19
    | spl0_74
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f2022]) ).

cnf(s569,plain,
    ( ~ spl0_4
    | ~ spl0_123
    | ~ spl0_124
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2026]) ).

cnf(s573,plain,
    ( ~ spl0_5
    | spl0_75
    | ~ spl0_118
    | spl0_153 ),
    inference(sat_conversion,[],[f2040]) ).

cnf(s575,plain,
    ( ~ spl0_9
    | spl0_88
    | ~ spl0_123
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2045]) ).

cnf(s576,plain,
    ( ~ spl0_11
    | spl0_88
    | ~ spl0_124
    | spl0_147 ),
    inference(sat_conversion,[],[f2049]) ).

cnf(s577,plain,
    ( ~ spl0_15
    | spl0_90
    | spl0_91
    | spl0_162 ),
    inference(sat_conversion,[],[f2054]) ).

cnf(s580,plain,
    ( ~ spl0_16
    | spl0_66
    | ~ spl0_106
    | spl0_148 ),
    inference(sat_conversion,[],[f2072]) ).

cnf(s599,plain,
    ( ~ spl0_27
    | ~ spl0_141
    | ~ spl0_143
    | spl0_163 ),
    inference(sat_conversion,[],[f2119]) ).

cnf(s605,plain,
    ( ~ spl0_10
    | spl0_93
    | spl0_94
    | spl0_152 ),
    inference(sat_conversion,[],[f2124]) ).

cnf(s608,plain,
    ( ~ spl0_10
    | spl0_89
    | spl0_91
    | spl0_162 ),
    inference(sat_conversion,[],[f2127]) ).

cnf(s611,plain,
    ( ~ spl0_12
    | spl0_86
    | ~ spl0_122
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f2130]) ).

cnf(s612,plain,
    ( ~ spl0_12
    | spl0_68
    | ~ spl0_110
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f2131]) ).

cnf(s613,plain,
    ( ~ spl0_12
    | ~ spl0_141
    | ~ spl0_142
    | spl0_163 ),
    inference(sat_conversion,[],[f2132]) ).

cnf(s614,plain,
    ( ~ spl0_12
    | spl0_16
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f2133]) ).

cnf(s618,plain,
    ( ~ spl0_18
    | spl0_92
    | ~ spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f2136]) ).

cnf(s623,plain,
    ( ~ spl0_18
    | spl0_67
    | ~ spl0_108
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2141]) ).

cnf(s624,plain,
    ( ~ spl0_5
    | ~ spl0_18
    | spl0_84
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f2142]) ).

cnf(s627,plain,
    ( ~ spl0_21
    | ~ spl0_132
    | ~ spl0_134
    | spl0_151 ),
    inference(sat_conversion,[],[f2145]) ).

cnf(s628,plain,
    ( ~ spl0_21
    | spl0_87
    | ~ spl0_122
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f2146]) ).

cnf(s632,plain,
    ( ~ spl0_21
    | spl0_67
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f2150]) ).

cnf(s637,plain,
    ( ~ spl0_33
    | spl0_62
    | ~ spl0_105
    | spl0_150 ),
    inference(sat_conversion,[],[f2154]) ).

cnf(s642,plain,
    ( ~ spl0_33
    | spl0_86
    | spl0_87
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2157]) ).

cnf(s645,plain,
    ( ~ spl0_42
    | ~ spl0_133
    | ~ spl0_134
    | spl0_151 ),
    inference(sat_conversion,[],[f2158]) ).

cnf(s646,plain,
    ( ~ spl0_42
    | spl0_67
    | ~ spl0_109
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2159]) ).

cnf(s664,plain,
    ( ~ spl0_8
    | spl0_87
    | ~ spl0_122
    | spl0_144 ),
    inference(sat_conversion,[],[f2177]) ).

cnf(s666,plain,
    ( ~ spl0_10
    | spl0_63
    | spl0_64
    | spl0_154 ),
    inference(sat_conversion,[],[f2179]) ).

cnf(s672,plain,
    ( ~ spl0_2
    | spl0_86
    | ~ spl0_122
    | spl0_144 ),
    inference(sat_conversion,[],[f2194]) ).

cnf(s674,plain,
    ( ~ spl0_8
    | spl0_93
    | spl0_94
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2205]) ).

cnf(s681,plain,
    ( ~ spl0_5
    | spl0_93
    | spl0_94
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f2212]) ).

cnf(s682,plain,
    ( ~ spl0_5
    | spl0_89
    | spl0_91
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2213]) ).

cnf(s685,plain,
    ( ~ spl0_6
    | ~ spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2215]) ).

cnf(s686,plain,
    ( ~ spl0_19
    | ~ spl0_123
    | ~ spl0_124
    | spl0_147 ),
    inference(sat_conversion,[],[f2216]) ).

cnf(s692,plain,
    ( ~ spl0_19
    | spl0_85
    | ~ spl0_121
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2222]) ).

cnf(s694,plain,
    ( ~ spl0_21
    | ~ spl0_106
    | ~ spl0_107
    | spl0_148 ),
    inference(sat_conversion,[],[f2224]) ).

cnf(s697,plain,
    ( ~ spl0_24
    | spl0_75
    | spl0_76
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f2226]) ).

cnf(s699,plain,
    ( ~ spl0_24
    | spl0_83
    | ~ spl0_119
    | spl0_156 ),
    inference(sat_conversion,[],[f2228]) ).

cnf(s708,plain,
    ( ~ spl0_27
    | spl0_66
    | ~ spl0_106
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f2234]) ).

cnf(s710,plain,
    ( ~ spl0_27
    | spl0_69
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f2236]) ).

cnf(s712,plain,
    ( ~ spl0_37
    | spl0_63
    | spl0_65
    | spl0_154 ),
    inference(sat_conversion,[],[f2237]) ).

cnf(s713,plain,
    ( ~ spl0_37
    | spl0_83
    | spl0_84
    | spl0_156 ),
    inference(sat_conversion,[],[f2238]) ).

cnf(s716,plain,
    ( ~ spl0_37
    | spl0_89
    | spl0_90
    | spl0_91 ),
    inference(sat_conversion,[],[f2241]) ).

cnf(s722,plain,
    spl0_3,
    inference(rat,[],[s123,s131,s147,s151]) ).

cnf(s723,plain,
    ( ~ spl0_44
    | ~ spl0_4 ),
    inference(rat,[],[s528,s114,s115,s116]) ).

cnf(s724,plain,
    ( ~ spl0_97
    | ~ spl0_11 ),
    inference(rat,[],[s191,s75,s76,s106]) ).

cnf(s725,plain,
    ( spl0_5
    | spl0_44
    | spl0_2 ),
    inference(rat,[],[s685,s111,s112,s113,s33,s2,s722]) ).

cnf(s726,plain,
    ( ~ spl0_100
    | ~ spl0_16
    | ~ spl0_7 ),
    inference(rat,[],[s238,s172,s77,s78,s107]) ).

cnf(s727,plain,
    ( ~ spl0_40
    | ~ spl0_16 ),
    inference(rat,[],[s167,s36,s37,s79]) ).

cnf(s728,plain,
    ( ~ spl0_47
    | ~ spl0_19
    | ~ spl0_4 ),
    inference(rat,[],[s686,s569,s99,s100]) ).

cnf(s729,plain,
    ( ~ spl0_95
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s489,s524,s74,s104,s105]) ).

cnf(s730,plain,
    ( ~ spl0_6
    | spl0_95
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s685,s111,s112,s113,s124,s728,s415]) ).

cnf(s731,plain,
    ( spl0_22
    | spl0_33
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s163,s45,s82,s83,s15,s4,s632,s605,s681,s46,s84,s85,s72,s73,s16,s23,s386,s565,s53,s92,s93,s22,s730,s729,s5,s724,s31,s123,s725,s723,s722]) ).

cnf(s732,plain,
    ( ~ spl0_16
    | spl0_66
    | ~ spl0_106
    | spl0_67
    | ~ spl0_108
    | ~ spl0_109
    | spl0_47 ),
    inference(rat,[],[s716,s68,s69,s70,s21,s25,s646,s708,s340,s580,s722]) ).

cnf(s733,plain,
    ( ~ spl0_46
    | ~ spl0_10
    | ~ spl0_7 ),
    inference(rat,[],[s608,s488,s68,s69,s70]) ).

cnf(s734,plain,
    ( ~ spl0_49
    | ~ spl0_27
    | ~ spl0_4 ),
    inference(rat,[],[s529,s599,s117,s119]) ).

cnf(s735,plain,
    ( ~ spl0_19
    | spl0_11
    | ~ spl0_7
    | spl0_33
    | ~ spl0_4 ),
    inference(rat,[],[s565,s53,s92,s93,s10,s496,s29,s734,s25,s733,s618,s71,s101,s102,s4,s6,s163,s45,s82,s83,s15,s632,s46,s84,s85,s16,s350,s685,s527,s111,s112,s113,s124,s728,s723,s729,s722]) ).

cnf(s737,plain,
    ( ~ spl0_31
    | ~ spl0_12 ),
    inference(rat,[],[s45,s163,s82,s83]) ).

cnf(s738,plain,
    ( ~ spl0_36
    | ~ spl0_21
    | ~ spl0_4 ),
    inference(rat,[],[s526,s627,s108,s109,s110]) ).

cnf(s739,plain,
    ( ~ spl0_16
    | spl0_36
    | ~ spl0_7 ),
    inference(rat,[],[s120,s727,s726]) ).

cnf(s740,plain,
    ( spl0_11
    | ~ spl0_7
    | spl0_33
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s8,s169,s739,s738,s15,s737,s4,s605,s681,s72,s73,s23,s735,s723,s722]) ).

cnf(s741,plain,
    ( ~ spl0_19
    | spl0_46
    | ~ spl0_31
    | spl0_12
    | spl0_95
    | ~ spl0_4 ),
    inference(rat,[],[s565,s53,s92,s93,s10,s496,s618,s71,s101,s102,s6,s29,s694,s685,s734,s708,s111,s112,s113,s25,s124,s728,s723,s83,s82,s45,s722]) ).

cnf(s742,plain,
    ( ~ spl0_10
    | ~ spl0_31
    | spl0_12
    | ~ spl0_7
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s605,s681,s72,s73,s23,s741,s733,s723,s729,s722]) ).

cnf(s743,plain,
    ( ~ spl0_19
    | spl0_10
    | ~ spl0_31
    | spl0_12
    | spl0_95
    | spl0_33
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s732,s46,s84,s85,s16,s8,s350,s577,s527,s682,s111,s112,s113,s68,s69,s70,s124,s741,s728,s82,s45,s722]) ).

cnf(s744,plain,
    ( ~ spl0_47
    | ~ spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s576,s569,s67,s99,s100]) ).

cnf(s745,plain,
    ( ~ spl0_17
    | ~ spl0_11
    | ~ spl0_7 ),
    inference(rat,[],[s226,s518,s54,s55,s94]) ).

cnf(s746,plain,
    ( ~ spl0_31
    | spl0_12
    | ~ spl0_7
    | spl0_33
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s743,s742,s9,s745,s618,s71,s101,s102,s6,s685,s111,s112,s113,s124,s744,s740,s729,s722]) ).

cnf(s747,plain,
    ( spl0_12
    | ~ spl0_7
    | spl0_33
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s716,s21,s68,s69,s70,s447,s25,s17,s435,s541,s327,s49,s50,s90,s122,s746,s618,s71,s101,s102,s6,s685,s111,s112,s113,s124,s744,s740,s729,s722]) ).

cnf(s748,plain,
    ( ~ spl0_7
    | spl0_33
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s529,s613,s117,s118,s119,s29,s646,s346,s747,s46,s84,s85,s16,s350,s527,s111,s112,s113,s124,s744,s740,s729,s723,s722]) ).

cnf(s749,plain,
    ( ~ spl0_46
    | ~ spl0_10
    | ~ spl0_5 ),
    inference(rat,[],[s608,s682,s68,s70]) ).

cnf(s750,plain,
    ( ~ spl0_19
    | spl0_21
    | spl0_46
    | ~ spl0_31
    | spl0_12
    | ~ spl0_4 ),
    inference(rat,[],[s565,s53,s92,s93,s10,s490,s74,s104,s105,s741,s722]) ).

cnf(s751,plain,
    ( ~ spl0_10
    | ~ spl0_31
    | spl0_12
    | spl0_47
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s605,s681,s72,s73,s23,s750,s694,s708,s25,s749,s723,s83,s82,s45,s722]) ).

cnf(s752,plain,
    ( ~ spl0_19
    | spl0_10
    | ~ spl0_31
    | spl0_12
    | ~ spl0_5
    | spl0_86
    | spl0_87
    | ~ spl0_122
    | ~ spl0_4 ),
    inference(rat,[],[s577,s682,s68,s69,s70,s8,s750,s464,s628,s664,s3,s490,s74,s104,s105,s743,s748,s642,s722]) ).

cnf(s753,plain,
    ( ~ spl0_17
    | ~ spl0_11
    | ~ spl0_5 ),
    inference(rat,[],[s226,s573,s54,s55,s94]) ).

cnf(s754,plain,
    ( ~ spl0_13
    | ~ spl0_18 ),
    inference(rat,[],[s618,s71,s101,s102]) ).

cnf(s755,plain,
    ( ~ spl0_31
    | spl0_12
    | spl0_17
    | spl0_47
    | ~ spl0_5
    | spl0_86
    | spl0_87
    | ~ spl0_122
    | ~ spl0_4 ),
    inference(rat,[],[s732,s46,s84,s85,s16,s356,s20,s727,s8,s577,s682,s68,s69,s70,s25,s710,s48,s88,s89,s35,s415,s6,s754,s9,s752,s751,s45,s82,s642,s722]) ).

cnf(s756,plain,
    ( ~ spl0_55
    | ~ spl0_6 ),
    inference(rat,[],[s685,s111,s112,s113]) ).

cnf(s757,plain,
    ( spl0_12
    | ~ spl0_11
    | ~ spl0_5
    | spl0_86
    | spl0_87
    | ~ spl0_122
    | ~ spl0_4 ),
    inference(rat,[],[s490,s74,s104,s105,s124,s756,s3,s6,s664,s754,s464,s447,s8,s21,s577,s716,s682,s749,s68,s69,s70,s25,s17,s435,s541,s327,s49,s50,s90,s122,s755,s748,s642,s744,s753,s722]) ).

cnf(s758,plain,
    ( ~ spl0_32
    | ~ spl0_18
    | ~ spl0_12 ),
    inference(rat,[],[s623,s346,s46,s84,s85]) ).

cnf(s759,plain,
    ( ~ spl0_55
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(rat,[],[s350,s527,s111,s112,s113]) ).

cnf(s760,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s490,s74,s104,s105,s124,s759,s16,s758,s447,s21,s716,s68,s69,s70,s25,s17,s435,s541,s327,s49,s50,s90,s3,s122,s664,s737,s611,s757,s744,s5,s748,s642,s725,s65,s66,s98,s30,s723,s1,s722]) ).

cnf(s761,plain,
    ( ~ spl0_54
    | ~ spl0_2 ),
    inference(rat,[],[s175,s40,s41,s81]) ).

cnf(s762,plain,
    ( ~ spl0_9
    | spl0_18
    | ~ spl0_53 ),
    inference(rat,[],[s713,s21,s325,s496,s95,s63,s62,s722]) ).

cnf(s763,plain,
    ( spl0_9
    | spl0_21
    | spl0_44
    | spl0_7 ),
    inference(rat,[],[s674,s72,s73,s103,s23,s565,s53,s92,s93,s10,s3,s722]) ).

cnf(s764,plain,
    ( spl0_44
    | spl0_1 ),
    inference(rat,[],[s756,s33,s6,s624,s754,s762,s763,s611,s628,s672,s65,s66,s98,s30,s336,s62,s63,s95,s32,s761,s301,s760,s722]) ).

cnf(s765,plain,
    ( ~ spl0_17
    | ~ spl0_24 ),
    inference(rat,[],[s697,s54,s55,s94]) ).

cnf(s766,plain,
    ( ~ spl0_20
    | ~ spl0_19 ),
    inference(rat,[],[s565,s53,s92,s93]) ).

cnf(s767,plain,
    ( ~ spl0_2
    | spl0_1 ),
    inference(rat,[],[s210,s59,s60,s61,s14,s276,s686,s67,s99,s100,s25,s708,s694,s10,s766,s9,s765,s624,s749,s4,s421,s737,s45,s82,s83,s3,s17,s325,s352,s699,s12,s723,s764,s336,s62,s63,s95,s32,s761,s223,s301,s722]) ).

cnf(s768,plain,
    spl0_1,
    inference(rat,[],[s767,s760]) ).

cnf(s770,plain,
    ~ spl0_45,
    inference(rat,[],[s324,s51,s52,s91,s768]) ).

cnf(s771,plain,
    ( ~ spl0_36
    | spl0_54
    | ~ spl0_4 ),
    inference(rat,[],[s763,s336,s762,s62,s63,s95,s32,s541,s49,s50,s90,s27,s243,s645,s526,s738,s108,s109,s110,s723,s722,s770]) ).

cnf(s772,plain,
    ( spl0_18
    | ~ spl0_42
    | ~ spl0_7
    | spl0_31 ),
    inference(rat,[],[s9,s766,s745,s10,s15,s496,s215,s722]) ).

cnf(s773,plain,
    ( ~ spl0_51
    | ~ spl0_27 ),
    inference(rat,[],[s710,s48,s88,s89]) ).

cnf(s774,plain,
    ( spl0_16
    | ~ spl0_12 ),
    inference(rat,[],[s210,s59,s60,s61,s121,s773,s254,s8,s17,s169,s614,s737,s770,s722]) ).

cnf(s775,plain,
    ( spl0_54
    | ~ spl0_4 ),
    inference(rat,[],[s418,s7,s38,s39,s80,s493,s19,s3,s712,s666,s171,s321,s172,s42,s43,s44,s77,s78,s107,s34,s120,s739,s727,s774,s24,s771,s770,s768,s722]) ).

cnf(s776,plain,
    ~ spl0_4,
    inference(rat,[],[s645,s21,s526,s716,s108,s109,s110,s68,s69,s70,s24,s25,s612,s744,s389,s370,s5,s47,s86,s87,s748,s731,s637,s725,s322,s761,s40,s41,s81,s775,s723,s722,s770,s768]) ).

cnf(s777,plain,
    spl0_24,
    inference(rat,[],[s12,s722,s776]) ).

cnf(s778,plain,
    ~ spl0_17,
    inference(rat,[],[s765,s777]) ).

cnf(s779,plain,
    ( ~ spl0_53
    | ~ spl0_7 ),
    inference(rat,[],[s336,s62,s63,s95]) ).

cnf(s780,plain,
    ( ~ spl0_50
    | ~ spl0_29 ),
    inference(rat,[],[s541,s49,s50,s90]) ).

cnf(s781,plain,
    ( ~ spl0_42
    | ~ spl0_7
    | spl0_12 ),
    inference(rat,[],[s766,s10,s9,s496,s215,s754,s6,s412,s645,s110,s109,s24,s722,s778,s770]) ).

cnf(s782,plain,
    ( ~ spl0_25
    | spl0_12 ),
    inference(rat,[],[s754,s9,s6,s692,s411,s519,s64,s96,s97,s722,s778,s768]) ).

cnf(s783,plain,
    ( ~ spl0_50
    | spl0_25 ),
    inference(rat,[],[s13,s435,s286,s381,s49,s50,s90,s722,s768]) ).

cnf(s784,plain,
    ( ~ spl0_39
    | ~ spl0_5 ),
    inference(rat,[],[s418,s38,s39,s80]) ).

cnf(s785,plain,
    ( ~ spl0_56
    | ~ spl0_37 ),
    inference(rat,[],[s712,s321,s42,s43,s44,s768]) ).

cnf(s786,plain,
    spl0_12,
    inference(rat,[],[s313,s322,s40,s41,s81,s34,s785,s19,s784,s3,s496,s754,s6,s412,s781,s394,s645,s27,s783,s782,s109,s110,s24,s768,s722,s777,s770]) ).

cnf(s787,plain,
    ~ spl0_31,
    inference(rat,[],[s737,s786]) ).

cnf(s788,plain,
    spl0_16,
    inference(rat,[],[s774,s786]) ).

cnf(s789,plain,
    ~ spl0_40,
    inference(rat,[],[s727,s788]) ).

cnf(s790,plain,
    ( spl0_18
    | ~ spl0_7 ),
    inference(rat,[],[s692,s519,s64,s97,s783,s27,s9,s772,s787,s778,s770,s722,s768]) ).

cnf(s791,plain,
    ( ~ spl0_2
    | ~ spl0_7 ),
    inference(rat,[],[s389,s47,s87,s22,s766,s356,s16,s390,s20,s19,s168,s575,s210,s284,s784,s59,s60,s61,s67,s99,s394,s121,s122,s27,s773,s780,s254,s32,s761,s779,s758,s412,s243,s790,s108,s109,s110,s739,s768,s722,s789,s777,s770,s787,s786,s788]) ).

cnf(s792,plain,
    ( ~ spl0_47
    | ~ spl0_9 ),
    inference(rat,[],[s575,s284,s67,s99,s777]) ).

cnf(s794,plain,
    ~ spl0_22,
    inference(rat,[],[s612,s370,s47,s86,s87,s786,s768]) ).

cnf(s795,plain,
    ( ~ spl0_54
    | ~ spl0_33 ),
    inference(rat,[],[s322,s637,s40,s41,s81,s768]) ).

cnf(s796,plain,
    ~ spl0_7,
    inference(rat,[],[s390,s210,s19,s59,s60,s61,s792,s121,s122,s773,s780,s254,s32,s795,s16,s386,s53,s92,s22,s784,s2,s791,s412,s243,s758,s790,s108,s109,s110,s779,s739,s722,s770,s787,s786,s777,s794,s788]) ).

cnf(s797,plain,
    ( ~ spl0_25
    | ~ spl0_6 ),
    inference(rat,[],[s519,s411,s64,s96,s97,s768]) ).

cnf(s798,plain,
    spl0_18,
    inference(rat,[],[s313,s322,s40,s41,s81,s34,s785,s19,s3,s784,s496,s394,s27,s783,s797,s22,s766,s9,s768,s722,s796,s777,s770,s794,s778]) ).

cnf(s800,plain,
    ~ spl0_32,
    inference(rat,[],[s758,s786,s798]) ).

cnf(s801,plain,
    spl0_42,
    inference(rat,[],[s386,s53,s92,s16,s22,s795,s797,s34,s783,s785,s27,s21,s777,s722,s800,s794,s796,s770]) ).

cnf(s802,plain,
    spl0_5,
    inference(rat,[],[s394,s777,s801]) ).

cnf(s803,plain,
    ~ spl0_39,
    inference(rat,[],[s784,s802]) ).

cnf(s804,plain,
    ~ spl0_53,
    inference(rat,[],[s624,s63,s95,s798,s802]) ).

cnf(s805,plain,
    ~ spl0_50,
    inference(rat,[],[s386,s53,s92,s16,s22,s795,s797,s32,s783,s780,s777,s722,s800,s794,s804]) ).

cnf(s806,plain,
    spl0_47,
    inference(rat,[],[s122,s787,s805]) ).

cnf(s810,plain,
    ~ spl0_9,
    inference(rat,[],[s792,s806]) ).

cnf(s812,plain,
    spl0_8,
    inference(rat,[],[s3,s796,s722,s810]) ).

cnf(s813,plain,
    spl0_37,
    inference(rat,[],[s19,s722,s803,s810]) ).

cnf(s815,plain,
    ~ spl0_56,
    inference(rat,[],[s785,s813]) ).

cnf(s817,plain,
    spl0_54,
    inference(rat,[],[s34,s796,s722,s815]) ).

cnf(s818,plain,
    spl0_105,
    inference(rat,[],[s81,s817]) ).

cnf(s819,plain,
    ~ spl0_62,
    inference(rat,[],[s41,s817]) ).

cnf(s820,plain,
    ~ spl0_61,
    inference(rat,[],[s40,s817]) ).

cnf(s823,plain,
    ~ spl0_150,
    inference(rat,[],[s322,s819,s768,s820]) ).

cnf(s824,plain,
    $false,
    inference(rat,[],[s313,s818,s812,s820,s823]) ).

fof(f2247,plain,
    $false,
    inference(avatar_sat_refutation,[],[s824]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN436-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n001.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 16:06:19 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.04/1.12  % (459807)Input is clausal, will run a generic CNF schedule.
% 3.04/1.12  % (459813)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4105755248:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.04/1.12  % (459814)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1643851276:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.04/1.12  % (459816)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1393525589:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.04/1.12  % (459815)lrs+10_1_sil=8000:sp=occurrence:random_seed=2794095372:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.04/1.12  % (459817)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1605149960:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.04/1.12  % (459812)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1246492258:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.04/1.12  % (459818)dis-21_1_sil=8000:lcm=predicate:random_seed=3191669942:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.04/1.12  % (459818)First to succeed.
% 3.04/1.12  % (459818)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-459807"
% 3.04/1.12  % (459816)Also succeeded, but the first one will report.
% 3.04/1.12  % (459815)Instruction limit reached! 
% 3.04/1.12  % (459815)------------------------------
% 3.04/1.12  % (459815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.12  % (459815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.12  % (459815)CaDiCaL version: 2.1.3
% 3.04/1.12  % (459815)Termination reason: Instruction limit
% 3.04/1.12  % (459815)Termination phase: Saturation
% 3.04/1.12  % (459815)Time elapsed: 0.071 s
% 3.04/1.12  % (459815)Peak memory usage: 90 MB
% 3.04/1.12  % (459815)Instructions burned: 107 (million)
% 3.04/1.12  % (459817)Also succeeded, but the first one will report.
% 3.04/1.12  % (459826)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2972485956:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.04/1.12  % (459826)Also succeeded, but the first one will report.
% 3.04/1.12  % (459818)Refutation found. Thanks to Tanya!
% 3.04/1.12  % SZS status Unsatisfiable for theBenchmark
% 3.04/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 3.85/1.31  % (459818)------------------------------
% 3.85/1.31  % (459818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.31  % (459818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.31  % (459818)CaDiCaL version: 2.1.3
% 3.85/1.31  % (459818)Termination reason: Refutation
% 3.85/1.31  % (459818)Time elapsed: 0.038 s
% 3.85/1.31  % (459818)Peak memory usage: 90 MB
% 3.85/1.31  % (459818)Instructions burned: 60 (million)
% 3.85/1.31  % (459818)------------------------------
% 3.85/1.31  % (459818)------------------------------
% 3.85/1.31  % (459807)Success in time 0.453 s
% 3.85/1.31  % Vampire exiting
%------------------------------------------------------------------------------