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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN481-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:12:45 PM UTC 2026

% Result   : Unsatisfiable 0.19s 0.30s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :  267
% Syntax   : Number of formulae    : 1078 (  18 unt; 138 def)
%            Number of atoms       : 3654 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 4670 (2094   ~;2438   |;   0   &)
%                                         ( 138 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  173 ( 172 usr; 169 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  168 (   0 sgn 168   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f5,negated_conjecture,
    ( ~ hskp27
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f12,negated_conjecture,
    ( ~ hskp20
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).

fof(f33,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f35,negated_conjecture,
    ( hskp12
    | hskp5
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( hskp12
    | hskp25
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f38,negated_conjecture,
    ( hskp10
    | hskp18
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( hskp0
    | hskp5
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f42,negated_conjecture,
    ( hskp15
    | hskp19
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f44,negated_conjecture,
    ( hskp25
    | hskp17
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( hskp19
    | hskp21
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( hskp11
    | hskp17
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f50,negated_conjecture,
    ( ~ hskp29
    | c0_1(a1647) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp29
    | c1_1(a1647) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f53,negated_conjecture,
    ( ~ hskp28
    | c1_1(a1646) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp28
    | c2_1(a1646) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp28
    | c3_1(a1646) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f61,negated_conjecture,
    ( ~ hskp25
    | c1_1(a1709) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp25
    | c2_1(a1709) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp24
    | c3_1(a1701) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp21
    | c2_1(a1691) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp21
    | c3_1(a1691) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp20
    | c0_1(a1689) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp20
    | c1_1(a1689) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp19
    | c1_1(a1682) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp19
    | c2_1(a1682) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp18
    | c1_1(a1680) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f72,negated_conjecture,
    ( ~ hskp16
    | c0_1(a1667) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp16
    | c2_1(a1667) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp15
    | c0_1(a1664) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp14
    | c0_1(a1661) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f77,negated_conjecture,
    ( ~ hskp13
    | c3_1(a1658) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp12
    | c0_1(a1653) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp12
    | c1_1(a1653) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp11
    | c1_1(a1650) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp10
    | c0_1(a1648) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp10
    | c2_1(a1648) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f84,negated_conjecture,
    ( ~ hskp7
    | c0_1(a1642) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp6
    | c2_1(a1641) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp5
    | c0_1(a1640) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp5
    | c3_1(a1640) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp4
    | c3_1(a1639) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ hskp3
    | c3_1(a1638) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ hskp2
    | c1_1(a1637) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ hskp2
    | c3_1(a1637) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp0
    | c0_1(a1634) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ hskp0
    | c3_1(a1634) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f95,negated_conjecture,
    ( ~ c0_1(a1709)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c0_1(a1701)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c1_1(a1701)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c1_1(a1699)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c2_1(a1699)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c3_1(a1699)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c0_1(a1697)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c2_1(a1697)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c3_1(a1697)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c1_1(a1691)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c2_1(a1689)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c3_1(a1682)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c0_1(a1680)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f109,negated_conjecture,
    ( ~ c0_1(a1675)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c1_1(a1675)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f112,negated_conjecture,
    ( ~ c1_1(a1664)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c2_1(a1664)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c1_1(a1661)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c3_1(a1661)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f117,negated_conjecture,
    ( ~ c3_1(a1653)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c0_1(a1650)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c3_1(a1650)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c3_1(a1648)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c0_1(a1644)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c1_1(a1644)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c3_1(a1644)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f126,negated_conjecture,
    ( ~ c2_1(a1642)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c3_1(a1642)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c0_1(a1641)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c3_1(a1641)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c2_1(a1640)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c1_1(a1639)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c2_1(a1639)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ c0_1(a1638)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ c2_1(a1638)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ( ~ c0_1(a1637)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ( ~ c0_1(a1636)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ( ~ c1_1(a1636)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ( ~ c2_1(a1636)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ( ~ c1_1(a1634)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | hskp2
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp10
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp5
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp0
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp16
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp16
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp2
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp29
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp13
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp28
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp20
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp21
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f161,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp4
      | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f163,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp20
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f165,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp7
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp28
      | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

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

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

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

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f187,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_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',clause187) ).

fof(f188,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

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

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

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

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

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

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

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

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

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

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

fof(f202,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f203,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f205,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f206,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f208,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f212,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f213,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f214,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f200,f212,f208,f205,f202]) ).

fof(f216,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f217,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f219,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f220,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f222,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f223,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f224,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f199,f222,f208,f219,f216]) ).

fof(f226,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f227,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f228,plain,
    ( spl0_8
    | spl0_7
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f198,f205,f208,f222,f226]) ).

fof(f230,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f231,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f233,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f234,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f235,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f197,f233,f208,f230,f226]) ).

fof(f237,definition,
    ( spl0_11
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f238,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f240,definition,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f241,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f242,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f196,f233,f208,f240,f237]) ).

fof(f244,definition,
    ( spl0_13
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f245,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f247,definition,
    ( spl0_14
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f248,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f249,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f195,f240,f208,f247,f244]) ).

fof(f251,definition,
    ( spl0_15
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f252,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f254,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f255,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f256,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f194,f230,f208,f254,f251]) ).

fof(f258,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f259,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f260,plain,
    ( spl0_11
    | spl0_14
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f193,f258,f208,f247,f237]) ).

fof(f262,definition,
    ( spl0_18
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f263,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f264,plain,
    ( spl0_18
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f192,f222,f208,f219,f262]) ).

fof(f266,definition,
    ( spl0_19
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f267,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f269,definition,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f270,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f271,plain,
    ( spl0_15
    | spl0_19
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f191,f269,f208,f266,f251]) ).

fof(f273,definition,
    ( spl0_21
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f276,plain,
    ( spl0_21
    | spl0_7
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f190,f212,f208,f222,f273]) ).

fof(f278,definition,
    ( spl0_22
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f281,plain,
    ( spl0_22
    | spl0_7
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f189,f205,f208,f222,f278]) ).

fof(f283,definition,
    ( spl0_23
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f286,plain,
    ( spl0_23
    | spl0_12
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f188,f205,f208,f240,f283]) ).

fof(f288,definition,
    ( spl0_24
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f289,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f291,definition,
    ( spl0_25
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f292,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f293,plain,
    ( spl0_24
    | spl0_15
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f187,f291,f208,f251,f288]) ).

fof(f295,definition,
    ( spl0_26
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f300,definition,
    ( spl0_27
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f304,definition,
    ( spl0_28
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f305,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f307,definition,
    ( spl0_29
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f308,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f309,plain,
    ( spl0_27
    | spl0_28
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f185,f307,f208,f304,f300]) ).

fof(f311,definition,
    ( spl0_30
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f314,plain,
    ( spl0_30
    | spl0_28
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f184,f307,f208,f304,f311]) ).

fof(f316,definition,
    ( spl0_31
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f321,definition,
    ( spl0_32
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f326,definition,
    ( spl0_33
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f330,definition,
    ( spl0_34
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f331,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f332,plain,
    ( spl0_33
    | spl0_16
    | ~ spl0_3
    | spl0_34 ),
    inference(avatar_split_clause,[],[f181,f330,f208,f254,f326]) ).

fof(f334,definition,
    ( spl0_35
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f335,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f336,plain,
    ( spl0_22
    | spl0_8
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f180,f334,f208,f226,f278]) ).

fof(f338,definition,
    ( spl0_36
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f341,plain,
    ( spl0_36
    | spl0_1
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f179,f258,f208,f202,f338]) ).

fof(f343,definition,
    ( spl0_37
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f344,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f347,definition,
    ( spl0_38
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f350,plain,
    ( spl0_38
    | spl0_5
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f177,f247,f208,f216,f347]) ).

fof(f352,definition,
    ( spl0_39
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f355,plain,
    ( spl0_39
    | spl0_19
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f176,f258,f208,f266,f352]) ).

fof(f357,definition,
    ( spl0_40
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f364,definition,
    ( spl0_41
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f365,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f367,plain,
    ( spl0_8
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f171,f254,f208,f226]) ).

fof(f369,definition,
    ( spl0_42
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f373,definition,
    ( spl0_43
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f374,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f375,plain,
    ( spl0_42
    | spl0_18
    | ~ spl0_3
    | spl0_43 ),
    inference(avatar_split_clause,[],[f170,f373,f208,f262,f369]) ).

fof(f377,definition,
    ( spl0_44
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f380,plain,
    ( spl0_44
    | spl0_41
    | spl0_13
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f169,f208,f244,f364,f377]) ).

fof(f381,plain,
    ( spl0_40
    | spl0_15
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f168,f247,f208,f251,f357]) ).

fof(f383,definition,
    ( spl0_45
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f387,definition,
    ( spl0_46
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f388,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f389,plain,
    ( spl0_45
    | spl0_24
    | ~ spl0_3
    | spl0_46 ),
    inference(avatar_split_clause,[],[f167,f387,f208,f288,f383]) ).

fof(f391,definition,
    ( spl0_47
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f394,plain,
    ( spl0_47
    | spl0_23
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f166,f334,f208,f283,f391]) ).

fof(f395,plain,
    ( spl0_38
    | spl0_33
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f165,f334,f208,f326,f347]) ).

fof(f398,definition,
    ( spl0_48
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f402,definition,
    ( spl0_49
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f405,plain,
    ( spl0_48
    | spl0_49
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f163,f205,f208,f402,f398]) ).

fof(f407,definition,
    ( spl0_50
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f412,definition,
    ( spl0_51
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f415,plain,
    ( spl0_51
    | spl0_42
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f161,f222,f208,f369,f412]) ).

fof(f417,definition,
    ( spl0_52
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f425,plain,
    ( spl0_44
    | spl0_48
    | ~ spl0_3
    | spl0_34 ),
    inference(avatar_split_clause,[],[f159,f330,f208,f398,f377]) ).

fof(f426,plain,
    ( spl0_23
    | spl0_49
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f158,f307,f208,f402,f283]) ).

fof(f428,definition,
    ( spl0_54
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f431,plain,
    ( spl0_54
    | spl0_23
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f157,f258,f208,f283,f428]) ).

fof(f436,definition,
    ( spl0_55
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f439,plain,
    ( spl0_38
    | spl0_55
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f153,f254,f208,f436,f347]) ).

fof(f440,plain,
    ( spl0_32
    | spl0_40
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f152,f254,f208,f357,f321]) ).

fof(f444,definition,
    ( spl0_56
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f448,definition,
    ( spl0_57
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f452,plain,
    ( spl0_22
    | spl0_30
    | ~ spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f148,f343,f208,f311,f278]) ).

fof(f454,definition,
    ( spl0_58
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f458,definition,
    ( spl0_59
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f461,plain,
    ( spl0_58
    | spl0_59
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f147,f202,f208,f458,f454]) ).

fof(f462,plain,
    ( spl0_45
    | spl0_59
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f146,f247,f208,f458,f383]) ).

fof(f463,plain,
    ( spl0_23
    | spl0_45
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f145,f226,f208,f383,f283]) ).

fof(f465,plain,
    ( spl0_56
    | spl0_32
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f143,f237,f208,f321,f444]) ).

fof(f466,plain,
    ( spl0_52
    | spl0_58
    | spl0_15
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f142,f208,f251,f454,f417]) ).

fof(f467,plain,
    ( spl0_44
    | spl0_30
    | spl0_24
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f141,f208,f288,f311,f377]) ).

fof(f470,definition,
    ( spl0_60
  <=> c1_1(a1634) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f472,plain,
    ( ~ c1_1(a1634)
    | spl0_60 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f473,plain,
    ( ~ spl0_45
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f139,f470,f383]) ).

fof(f475,definition,
    ( spl0_61
  <=> c2_1(a1636) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f477,plain,
    ( ~ c2_1(a1636)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f478,plain,
    ( ~ spl0_52
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f138,f475,f417]) ).

fof(f480,definition,
    ( spl0_62
  <=> c1_1(a1636) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f482,plain,
    ( ~ c1_1(a1636)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f483,plain,
    ( ~ spl0_52
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f137,f480,f417]) ).

fof(f485,definition,
    ( spl0_63
  <=> c0_1(a1636) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f487,plain,
    ( ~ c0_1(a1636)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f488,plain,
    ( ~ spl0_52
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f136,f485,f417]) ).

fof(f490,definition,
    ( spl0_64
  <=> c0_1(a1637) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f492,plain,
    ( ~ c0_1(a1637)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f493,plain,
    ( ~ spl0_30
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f135,f490,f311]) ).

fof(f495,definition,
    ( spl0_65
  <=> c2_1(a1638) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f497,plain,
    ( ~ c2_1(a1638)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f498,plain,
    ( ~ spl0_44
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f134,f495,f377]) ).

fof(f500,definition,
    ( spl0_66
  <=> c0_1(a1638) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f502,plain,
    ( ~ c0_1(a1638)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f503,plain,
    ( ~ spl0_44
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f133,f500,f377]) ).

fof(f505,definition,
    ( spl0_67
  <=> c2_1(a1639) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f507,plain,
    ( ~ c2_1(a1639)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f508,plain,
    ( ~ spl0_42
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f132,f505,f369]) ).

fof(f510,definition,
    ( spl0_68
  <=> c1_1(a1639) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f512,plain,
    ( ~ c1_1(a1639)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f513,plain,
    ( ~ spl0_42
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f131,f510,f369]) ).

fof(f515,definition,
    ( spl0_69
  <=> c2_1(a1640) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f517,plain,
    ( ~ c2_1(a1640)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f518,plain,
    ( ~ spl0_32
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f130,f515,f321]) ).

fof(f520,definition,
    ( spl0_70
  <=> c3_1(a1641) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f522,plain,
    ( ~ c3_1(a1641)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f523,plain,
    ( ~ spl0_56
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f129,f520,f444]) ).

fof(f525,definition,
    ( spl0_71
  <=> c0_1(a1641) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f528,plain,
    ( ~ spl0_56
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f128,f525,f444]) ).

fof(f530,definition,
    ( spl0_72
  <=> c3_1(a1642) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f532,plain,
    ( ~ c3_1(a1642)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f533,plain,
    ( ~ spl0_33
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f127,f530,f326]) ).

fof(f535,definition,
    ( spl0_73
  <=> c2_1(a1642) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f537,plain,
    ( ~ c2_1(a1642)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f538,plain,
    ( ~ spl0_33
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f126,f535,f326]) ).

fof(f550,definition,
    ( spl0_76
  <=> c3_1(a1644) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f552,plain,
    ( ~ c3_1(a1644)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f553,plain,
    ( ~ spl0_22
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f123,f550,f278]) ).

fof(f555,definition,
    ( spl0_77
  <=> c1_1(a1644) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f557,plain,
    ( ~ c1_1(a1644)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f558,plain,
    ( ~ spl0_22
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f122,f555,f278]) ).

fof(f560,definition,
    ( spl0_78
  <=> c0_1(a1644) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f562,plain,
    ( ~ c0_1(a1644)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f563,plain,
    ( ~ spl0_22
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f121,f560,f278]) ).

fof(f565,definition,
    ( spl0_79
  <=> c3_1(a1648) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f567,plain,
    ( ~ c3_1(a1648)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f568,plain,
    ( ~ spl0_58
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f120,f565,f454]) ).

fof(f570,definition,
    ( spl0_80
  <=> c3_1(a1650) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f572,plain,
    ( ~ c3_1(a1650)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f573,plain,
    ( ~ spl0_38
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f119,f570,f347]) ).

fof(f575,definition,
    ( spl0_81
  <=> c0_1(a1650) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f577,plain,
    ( ~ c0_1(a1650)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f578,plain,
    ( ~ spl0_38
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f118,f575,f347]) ).

fof(f580,definition,
    ( spl0_82
  <=> c3_1(a1653) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f582,plain,
    ( ~ c3_1(a1653)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f583,plain,
    ( ~ spl0_39
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f117,f580,f352]) ).

fof(f590,definition,
    ( spl0_84
  <=> c3_1(a1661) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f592,plain,
    ( ~ c3_1(a1661)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f593,plain,
    ( ~ spl0_36
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f115,f590,f338]) ).

fof(f595,definition,
    ( spl0_85
  <=> c1_1(a1661) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f597,plain,
    ( ~ c1_1(a1661)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f598,plain,
    ( ~ spl0_36
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f114,f595,f338]) ).

fof(f600,definition,
    ( spl0_86
  <=> c2_1(a1664) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f602,plain,
    ( ~ c2_1(a1664)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f603,plain,
    ( ~ spl0_31
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f113,f600,f316]) ).

fof(f605,definition,
    ( spl0_87
  <=> c1_1(a1664) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f607,plain,
    ( ~ c1_1(a1664)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f608,plain,
    ( ~ spl0_31
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f112,f605,f316]) ).

fof(f615,definition,
    ( spl0_89
  <=> c1_1(a1675) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f617,plain,
    ( ~ c1_1(a1675)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f618,plain,
    ( ~ spl0_27
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f110,f615,f300]) ).

fof(f620,definition,
    ( spl0_90
  <=> c0_1(a1675) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f622,plain,
    ( ~ c0_1(a1675)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f623,plain,
    ( ~ spl0_27
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f109,f620,f300]) ).

fof(f630,definition,
    ( spl0_92
  <=> c0_1(a1680) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f632,plain,
    ( ~ c0_1(a1680)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f633,plain,
    ( ~ spl0_26
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f107,f630,f295]) ).

fof(f635,definition,
    ( spl0_93
  <=> c3_1(a1682) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f637,plain,
    ( ~ c3_1(a1682)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f638,plain,
    ( ~ spl0_54
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f106,f635,f428]) ).

fof(f640,definition,
    ( spl0_94
  <=> c2_1(a1689) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f642,plain,
    ( ~ c2_1(a1689)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f643,plain,
    ( ~ spl0_49
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f105,f640,f402]) ).

fof(f645,definition,
    ( spl0_95
  <=> c1_1(a1691) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f647,plain,
    ( ~ c1_1(a1691)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f648,plain,
    ( ~ spl0_48
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f104,f645,f398]) ).

fof(f650,definition,
    ( spl0_96
  <=> c3_1(a1697) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f652,plain,
    ( ~ c3_1(a1697)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f653,plain,
    ( ~ spl0_21
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f103,f650,f273]) ).

fof(f655,definition,
    ( spl0_97
  <=> c2_1(a1697) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f657,plain,
    ( ~ c2_1(a1697)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f658,plain,
    ( ~ spl0_21
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f102,f655,f273]) ).

fof(f660,definition,
    ( spl0_98
  <=> c0_1(a1697) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f662,plain,
    ( ~ c0_1(a1697)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f663,plain,
    ( ~ spl0_21
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f101,f660,f273]) ).

fof(f665,definition,
    ( spl0_99
  <=> c3_1(a1699) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f667,plain,
    ( ~ c3_1(a1699)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f668,plain,
    ( ~ spl0_51
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f100,f665,f412]) ).

fof(f670,definition,
    ( spl0_100
  <=> c2_1(a1699) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f672,plain,
    ( ~ c2_1(a1699)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f673,plain,
    ( ~ spl0_51
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f99,f670,f412]) ).

fof(f675,definition,
    ( spl0_101
  <=> c1_1(a1699) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f677,plain,
    ( ~ c1_1(a1699)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f678,plain,
    ( ~ spl0_51
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f98,f675,f412]) ).

fof(f680,definition,
    ( spl0_102
  <=> c1_1(a1701) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f682,plain,
    ( ~ c1_1(a1701)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f683,plain,
    ( ~ spl0_50
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f97,f680,f407]) ).

fof(f685,definition,
    ( spl0_103
  <=> c0_1(a1701) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f687,plain,
    ( ~ c0_1(a1701)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f688,plain,
    ( ~ spl0_50
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f96,f685,f407]) ).

fof(f690,definition,
    ( spl0_104
  <=> c0_1(a1709) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f692,plain,
    ( ~ c0_1(a1709)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f693,plain,
    ( ~ spl0_47
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f95,f690,f391]) ).

fof(f704,definition,
    ( spl0_107
  <=> c3_1(a1634) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f706,plain,
    ( c3_1(a1634)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f707,plain,
    ( spl0_107
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f93,f383,f704]) ).

fof(f709,definition,
    ( spl0_108
  <=> c0_1(a1634) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f711,plain,
    ( c0_1(a1634)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f712,plain,
    ( spl0_108
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f92,f383,f709]) ).

fof(f714,definition,
    ( spl0_109
  <=> c3_1(a1637) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f716,plain,
    ( c3_1(a1637)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f717,plain,
    ( spl0_109
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f91,f311,f714]) ).

fof(f719,definition,
    ( spl0_110
  <=> c1_1(a1637) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f721,plain,
    ( c1_1(a1637)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f722,plain,
    ( spl0_110
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f90,f311,f719]) ).

fof(f724,definition,
    ( spl0_111
  <=> c3_1(a1638) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f726,plain,
    ( c3_1(a1638)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f727,plain,
    ( spl0_111
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f89,f377,f724]) ).

fof(f729,definition,
    ( spl0_112
  <=> c3_1(a1639) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f731,plain,
    ( c3_1(a1639)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f732,plain,
    ( spl0_112
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f88,f369,f729]) ).

fof(f734,definition,
    ( spl0_113
  <=> c3_1(a1640) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f736,plain,
    ( c3_1(a1640)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f737,plain,
    ( spl0_113
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f87,f321,f734]) ).

fof(f739,definition,
    ( spl0_114
  <=> c0_1(a1640) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f741,plain,
    ( c0_1(a1640)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f742,plain,
    ( spl0_114
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f86,f321,f739]) ).

fof(f744,definition,
    ( spl0_115
  <=> c2_1(a1641) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f746,plain,
    ( c2_1(a1641)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f747,plain,
    ( spl0_115
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f85,f444,f744]) ).

fof(f749,definition,
    ( spl0_116
  <=> c0_1(a1642) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f751,plain,
    ( c0_1(a1642)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f752,plain,
    ( spl0_116
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f84,f326,f749]) ).

fof(f759,definition,
    ( spl0_118
  <=> c2_1(a1648) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f761,plain,
    ( c2_1(a1648)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f762,plain,
    ( spl0_118
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f82,f454,f759]) ).

fof(f764,definition,
    ( spl0_119
  <=> c0_1(a1648) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f766,plain,
    ( c0_1(a1648)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f767,plain,
    ( spl0_119
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f81,f454,f764]) ).

fof(f769,definition,
    ( spl0_120
  <=> c1_1(a1650) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f771,plain,
    ( c1_1(a1650)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f772,plain,
    ( spl0_120
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f80,f347,f769]) ).

fof(f774,definition,
    ( spl0_121
  <=> c1_1(a1653) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f776,plain,
    ( c1_1(a1653)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f777,plain,
    ( spl0_121
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f79,f352,f774]) ).

fof(f779,definition,
    ( spl0_122
  <=> c0_1(a1653) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f781,plain,
    ( c0_1(a1653)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f782,plain,
    ( spl0_122
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f78,f352,f779]) ).

fof(f784,definition,
    ( spl0_123
  <=> c3_1(a1658) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f786,plain,
    ( c3_1(a1658)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f787,plain,
    ( spl0_123
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f77,f436,f784]) ).

fof(f794,definition,
    ( spl0_125
  <=> c0_1(a1661) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f796,plain,
    ( c0_1(a1661)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f797,plain,
    ( spl0_125
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f75,f338,f794]) ).

fof(f799,definition,
    ( spl0_126
  <=> c0_1(a1664) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f801,plain,
    ( c0_1(a1664)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f802,plain,
    ( spl0_126
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f74,f316,f799]) ).

fof(f804,definition,
    ( spl0_127
  <=> c2_1(a1667) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f806,plain,
    ( c2_1(a1667)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f807,plain,
    ( spl0_127
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f73,f458,f804]) ).

fof(f809,definition,
    ( spl0_128
  <=> c0_1(a1667) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f812,plain,
    ( spl0_128
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f72,f458,f809]) ).

fof(f819,definition,
    ( spl0_130
  <=> c1_1(a1680) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f821,plain,
    ( c1_1(a1680)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f822,plain,
    ( spl0_130
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f70,f295,f819]) ).

fof(f824,definition,
    ( spl0_131
  <=> c2_1(a1682) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f826,plain,
    ( c2_1(a1682)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f827,plain,
    ( spl0_131
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f69,f428,f824]) ).

fof(f829,definition,
    ( spl0_132
  <=> c1_1(a1682) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f831,plain,
    ( c1_1(a1682)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f832,plain,
    ( spl0_132
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f68,f428,f829]) ).

fof(f834,definition,
    ( spl0_133
  <=> c1_1(a1689) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f836,plain,
    ( c1_1(a1689)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f837,plain,
    ( spl0_133
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f67,f402,f834]) ).

fof(f839,definition,
    ( spl0_134
  <=> c0_1(a1689) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f841,plain,
    ( c0_1(a1689)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f842,plain,
    ( spl0_134
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f66,f402,f839]) ).

fof(f844,definition,
    ( spl0_135
  <=> c3_1(a1691) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f846,plain,
    ( c3_1(a1691)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f847,plain,
    ( spl0_135
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f65,f398,f844]) ).

fof(f849,definition,
    ( spl0_136
  <=> c2_1(a1691) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f851,plain,
    ( c2_1(a1691)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f852,plain,
    ( spl0_136
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f64,f398,f849]) ).

fof(f854,definition,
    ( spl0_137
  <=> c3_1(a1701) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f856,plain,
    ( c3_1(a1701)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f857,plain,
    ( spl0_137
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f63,f407,f854]) ).

fof(f859,definition,
    ( spl0_138
  <=> c2_1(a1709) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f861,plain,
    ( c2_1(a1709)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f862,plain,
    ( spl0_138
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f62,f391,f859]) ).

fof(f864,definition,
    ( spl0_139
  <=> c1_1(a1709) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f866,plain,
    ( c1_1(a1709)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f867,plain,
    ( spl0_139
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f61,f391,f864]) ).

fof(f894,definition,
    ( spl0_145
  <=> c3_1(a1646) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f896,plain,
    ( c3_1(a1646)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f897,plain,
    ( spl0_145
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f55,f283,f894]) ).

fof(f899,definition,
    ( spl0_146
  <=> c2_1(a1646) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f901,plain,
    ( c2_1(a1646)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f902,plain,
    ( spl0_146
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f54,f283,f899]) ).

fof(f904,definition,
    ( spl0_147
  <=> c1_1(a1646) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f906,plain,
    ( c1_1(a1646)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f907,plain,
    ( spl0_147
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f53,f283,f904]) ).

fof(f914,definition,
    ( spl0_149
  <=> c1_1(a1647) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f916,plain,
    ( c1_1(a1647)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f917,plain,
    ( spl0_149
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f51,f357,f914]) ).

fof(f919,definition,
    ( spl0_150
  <=> c0_1(a1647) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f921,plain,
    ( c0_1(a1647)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f922,plain,
    ( spl0_150
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f50,f357,f919]) ).

fof(f928,definition,
    ( spl0_152
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f942,plain,
    ( spl0_52
    | spl0_27
    | spl0_38 ),
    inference(avatar_split_clause,[],[f46,f347,f300,f417]) ).

fof(f943,plain,
    ( spl0_56
    | spl0_48
    | spl0_54 ),
    inference(avatar_split_clause,[],[f45,f428,f398,f444]) ).

fof(f944,plain,
    ( spl0_52
    | spl0_27
    | spl0_47 ),
    inference(avatar_split_clause,[],[f44,f391,f300,f417]) ).

fof(f946,plain,
    ( spl0_52
    | spl0_54
    | spl0_31 ),
    inference(avatar_split_clause,[],[f42,f316,f428,f417]) ).

fof(f949,plain,
    ( spl0_52
    | spl0_32
    | spl0_45 ),
    inference(avatar_split_clause,[],[f39,f383,f321,f417]) ).

fof(f950,plain,
    ( spl0_38
    | spl0_26
    | spl0_58 ),
    inference(avatar_split_clause,[],[f38,f454,f295,f347]) ).

fof(f952,plain,
    ( spl0_50
    | spl0_47
    | spl0_39 ),
    inference(avatar_split_clause,[],[f36,f352,f391,f407]) ).

fof(f953,plain,
    ( spl0_50
    | spl0_32
    | spl0_39 ),
    inference(avatar_split_clause,[],[f35,f352,f321,f407]) ).

fof(f955,plain,
    ( spl0_152
    | spl0_49
    | spl0_57 ),
    inference(avatar_split_clause,[],[f33,f448,f402,f928]) ).

fof(f972,plain,
    ( spl0_3
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f12,f402,f208]) ).

fof(f977,plain,
    ( spl0_3
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f5,f448,f208]) ).

fof(f979,plain,
    ( spl0_3
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2,f928,f208]) ).

fof(f981,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f227,f217]) ).

fof(f983,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f255,f238]) ).

fof(f984,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f289,f238]) ).

fof(f985,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f305,f206]) ).

fof(f986,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f335,f259]) ).

fof(f1003,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f245,f217]) ).

fof(f1017,plain,
    ( c0_1(a1641)
    | ~ spl0_11
    | ~ spl0_16
    | ~ spl0_115 ),
    inference(resolution,[],[f983,f746]) ).

fof(f1025,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_1
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f203,f331]) ).

fof(f1026,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f335,f223]) ).

fof(f1027,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f344,f223]) ).

fof(f1040,plain,
    ( c0_1(a1644)
    | ~ spl0_11
    | ~ spl0_24
    | spl0_77 ),
    inference(resolution,[],[f984,f557]) ).

fof(f1041,plain,
    ( c0_1(a1636)
    | ~ spl0_11
    | ~ spl0_24
    | spl0_62 ),
    inference(resolution,[],[f984,f482]) ).

fof(f1042,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_24
    | spl0_62
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f1041,f487]) ).

fof(f1043,plain,
    ( ~ spl0_11
    | ~ spl0_24
    | spl0_62
    | spl0_63 ),
    inference(avatar_contradiction_clause,[],[f1042]) ).

fof(f1044,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_24
    | spl0_77
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1040,f562]) ).

fof(f1045,plain,
    ( ~ spl0_11
    | ~ spl0_24
    | spl0_77
    | spl0_78 ),
    inference(avatar_contradiction_clause,[],[f1044]) ).

fof(f1051,plain,
    ( c0_1(a1675)
    | ~ spl0_11
    | ~ spl0_24
    | spl0_89 ),
    inference(resolution,[],[f617,f984]) ).

fof(f1052,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_24
    | spl0_89
    | spl0_90 ),
    inference(forward_subsumption_resolution,[],[f1051,f622]) ).

fof(f1053,plain,
    ( ~ spl0_11
    | ~ spl0_24
    | spl0_89
    | spl0_90 ),
    inference(avatar_contradiction_clause,[],[f1052]) ).

fof(f1055,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f227,f263]) ).

fof(f1057,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f220,f213]) ).

fof(f1059,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f231,f983]) ).

fof(f1107,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_14
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f374,f248]) ).

fof(f1109,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_11
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f292,f983]) ).

fof(f1115,plain,
    ( c2_1(a1640)
    | ~ spl0_1
    | ~ spl0_34
    | ~ spl0_113 ),
    inference(resolution,[],[f1025,f736]) ).

fof(f1119,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_34
    | spl0_69
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f1115,f517]) ).

fof(f1120,plain,
    ( ~ spl0_1
    | ~ spl0_34
    | spl0_69
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f1119]) ).

fof(f1122,plain,
    ( ~ c2_1(a1646)
    | ~ spl0_7
    | ~ spl0_35
    | ~ spl0_147 ),
    inference(resolution,[],[f1026,f906]) ).

fof(f1124,plain,
    ( ~ c2_1(a1709)
    | ~ spl0_7
    | ~ spl0_35
    | ~ spl0_139 ),
    inference(resolution,[],[f1026,f866]) ).

fof(f1130,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_35
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f1124,f861]) ).

fof(f1131,plain,
    ( ~ spl0_7
    | ~ spl0_35
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1130]) ).

fof(f1248,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f252,f983]) ).

fof(f1252,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f227,f220]) ).

fof(f1259,plain,
    ( ~ c2_1(a1682)
    | ~ spl0_7
    | ~ spl0_35
    | ~ spl0_132 ),
    inference(resolution,[],[f831,f1026]) ).

fof(f1260,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_35
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f1259,f826]) ).

fof(f1261,plain,
    ( ~ spl0_7
    | ~ spl0_35
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1260]) ).

fof(f1274,plain,
    ( ~ c2_1(a1634)
    | ~ spl0_17
    | ~ spl0_35
    | ~ spl0_107 ),
    inference(resolution,[],[f986,f706]) ).

fof(f1283,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f335,f1252]) ).

fof(f1306,plain,
    ( c0_1(a1644)
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_16
    | spl0_76 ),
    inference(resolution,[],[f1248,f552]) ).

fof(f1307,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_16
    | spl0_76
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1306,f562]) ).

fof(f1308,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | ~ spl0_16
    | spl0_76
    | spl0_78 ),
    inference(avatar_contradiction_clause,[],[f1307]) ).

fof(f1420,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f331,f1252]) ).

fof(f1421,plain,
    ( ! [X2] : ~ c3_1(X2)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f1025,f1283]) ).

fof(f1425,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f365,f1252]) ).

fof(f1428,plain,
    ( ! [X0] : ~ c3_1(X0)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f1420,f1283]) ).

fof(f1432,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_112 ),
    inference(resolution,[],[f1421,f731]) ).

fof(f1435,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f1432]) ).

fof(f1457,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_123 ),
    inference(resolution,[],[f1428,f786]) ).

fof(f1462,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f1457]) ).

fof(f1550,plain,
    ( c2_1(a1699)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_41
    | spl0_101 ),
    inference(resolution,[],[f1425,f677]) ).

fof(f1555,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_41
    | spl0_100
    | spl0_101 ),
    inference(forward_subsumption_resolution,[],[f1550,f672]) ).

fof(f1556,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_41
    | spl0_100
    | spl0_101 ),
    inference(avatar_contradiction_clause,[],[f1555]) ).

fof(f1603,plain,
    ( c0_1(a1638)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_111 ),
    inference(resolution,[],[f726,f981]) ).

fof(f1626,plain,
    ( c0_1(a1646)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_145 ),
    inference(resolution,[],[f896,f981]) ).

fof(f1631,plain,
    ( c0_1(a1709)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_139 ),
    inference(resolution,[],[f1003,f866]) ).

fof(f1638,plain,
    ( c0_1(a1650)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_120 ),
    inference(resolution,[],[f1003,f771]) ).

fof(f1640,plain,
    ( c0_1(a1637)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_110 ),
    inference(resolution,[],[f1003,f721]) ).

fof(f1643,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | spl0_81
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f1638,f577]) ).

fof(f1644,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | spl0_81
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1643]) ).

fof(f1658,plain,
    ( c1_1(a1691)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_135 ),
    inference(resolution,[],[f1252,f846]) ).

fof(f1660,plain,
    ( c1_1(a1634)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_107 ),
    inference(resolution,[],[f1252,f706]) ).

fof(f1661,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | spl0_60
    | ~ spl0_107 ),
    inference(forward_subsumption_resolution,[],[f1660,f472]) ).

fof(f1662,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | spl0_60
    | ~ spl0_107 ),
    inference(avatar_contradiction_clause,[],[f1661]) ).

fof(f1663,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | spl0_95
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f1658,f647]) ).

fof(f1664,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | spl0_95
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1663]) ).

fof(f1667,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f206,f255]) ).

fof(f1722,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_9
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f231,f388]) ).

fof(f1748,plain,
    ( c1_1(a1640)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_113 ),
    inference(resolution,[],[f736,f1252]) ).

fof(f1779,plain,
    ( ~ c0_1(a1640)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_113 ),
    inference(resolution,[],[f1057,f736]) ).

fof(f1781,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1779,f741]) ).

fof(f1782,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f1781]) ).

fof(f1786,plain,
    ( spl0_71
    | ~ spl0_11
    | ~ spl0_16
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1017,f744,f254,f237,f525]) ).

fof(f1813,plain,
    ( ~ c2_1(a1641)
    | ~ spl0_7
    | ~ spl0_37
    | spl0_70 ),
    inference(resolution,[],[f1027,f522]) ).

fof(f1823,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_37
    | spl0_70
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f1813,f746]) ).

fof(f1824,plain,
    ( ~ spl0_7
    | ~ spl0_37
    | spl0_70
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f1823]) ).

fof(f1843,plain,
    ( c0_1(a1680)
    | ~ spl0_11
    | ~ spl0_16
    | ~ spl0_25
    | ~ spl0_130 ),
    inference(resolution,[],[f1109,f821]) ).

fof(f1856,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_16
    | ~ spl0_25
    | spl0_92
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f1843,f632]) ).

fof(f1857,plain,
    ( ~ spl0_11
    | ~ spl0_16
    | ~ spl0_25
    | spl0_92
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1856]) ).

fof(f1908,plain,
    ( ~ c0_1(a1642)
    | ~ spl0_9
    | ~ spl0_46
    | spl0_72 ),
    inference(resolution,[],[f1722,f532]) ).

fof(f1925,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_46
    | spl0_72
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f1908,f751]) ).

fof(f1926,plain,
    ( ~ spl0_9
    | ~ spl0_46
    | spl0_72
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f1925]) ).

fof(f1979,plain,
    ( c0_1(a1675)
    | ~ spl0_8
    | ~ spl0_18
    | spl0_89 ),
    inference(resolution,[],[f1055,f617]) ).

fof(f1982,plain,
    ( c0_1(a1644)
    | ~ spl0_8
    | ~ spl0_18
    | spl0_77 ),
    inference(resolution,[],[f1055,f557]) ).

fof(f1983,plain,
    ( c0_1(a1636)
    | ~ spl0_8
    | ~ spl0_18
    | spl0_62 ),
    inference(resolution,[],[f1055,f482]) ).

fof(f1986,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_18
    | spl0_77
    | spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1982,f562]) ).

fof(f1987,plain,
    ( ~ spl0_8
    | ~ spl0_18
    | spl0_77
    | spl0_78 ),
    inference(avatar_contradiction_clause,[],[f1986]) ).

fof(f1988,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_18
    | spl0_89
    | spl0_90 ),
    inference(forward_subsumption_resolution,[],[f1979,f622]) ).

fof(f1989,plain,
    ( ~ spl0_8
    | ~ spl0_18
    | spl0_89
    | spl0_90 ),
    inference(avatar_contradiction_clause,[],[f1988]) ).

fof(f2025,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f374,f206]) ).

fof(f2065,plain,
    ( spl0_63
    | ~ spl0_8
    | ~ spl0_18
    | spl0_62 ),
    inference(avatar_split_clause,[],[f1983,f480,f262,f226,f485]) ).

fof(f2095,plain,
    ( ~ c0_1(a1667)
    | ~ spl0_2
    | ~ spl0_28
    | ~ spl0_127 ),
    inference(resolution,[],[f985,f806]) ).

fof(f2096,plain,
    ( ~ c0_1(a1648)
    | ~ spl0_2
    | ~ spl0_28
    | ~ spl0_118 ),
    inference(resolution,[],[f985,f761]) ).

fof(f2190,plain,
    ( ~ c1_1(a1682)
    | ~ c2_1(a1682)
    | ~ spl0_7
    | spl0_93 ),
    inference(resolution,[],[f223,f637]) ).

fof(f2193,plain,
    ( ~ c1_1(a1650)
    | ~ c2_1(a1650)
    | ~ spl0_7
    | spl0_80 ),
    inference(resolution,[],[f223,f572]) ).

fof(f2209,plain,
    ( ~ c2_1(a1650)
    | ~ spl0_7
    | spl0_80
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f2193,f771]) ).

fof(f2210,plain,
    ( ~ c2_1(a1682)
    | ~ spl0_7
    | spl0_93
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f2190,f831]) ).

fof(f2214,plain,
    ( $false
    | ~ spl0_7
    | spl0_93
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f2210,f826]) ).

fof(f2215,plain,
    ( ~ spl0_7
    | spl0_93
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f2214]) ).

fof(f2236,plain,
    ( ~ c0_1(a1642)
    | ~ c1_1(a1642)
    | ~ spl0_12
    | spl0_72 ),
    inference(resolution,[],[f241,f532]) ).

fof(f2243,plain,
    ( ~ c1_1(a1642)
    | ~ spl0_12
    | spl0_72
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f2236,f751]) ).

fof(f2255,plain,
    ( c0_1(a1646)
    | ~ c2_1(a1646)
    | ~ spl0_16
    | ~ spl0_147 ),
    inference(resolution,[],[f255,f906]) ).

fof(f2258,plain,
    ( c0_1(a1709)
    | ~ c2_1(a1709)
    | ~ spl0_16
    | ~ spl0_139 ),
    inference(resolution,[],[f255,f866]) ).

fof(f2274,definition,
    ( spl0_156
  <=> c0_1(a1699) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f2275,plain,
    ( ~ c0_1(a1699)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f2274]) ).

fof(f2281,definition,
    ( spl0_157
  <=> c2_1(a1701) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f2283,plain,
    ( ~ c2_1(a1701)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f2281]) ).

fof(f2285,plain,
    ( ~ c2_1(a1709)
    | ~ spl0_16
    | spl0_104
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f2258,f692]) ).

fof(f2287,plain,
    ( c0_1(a1646)
    | ~ spl0_16
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f2255,f901]) ).

fof(f2290,plain,
    ( $false
    | ~ spl0_16
    | spl0_104
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f2285,f861]) ).

fof(f2291,plain,
    ( ~ spl0_16
    | spl0_104
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2290]) ).

fof(f2294,plain,
    ( ~ c0_1(a1653)
    | ~ c1_1(a1653)
    | ~ spl0_12
    | spl0_82 ),
    inference(resolution,[],[f582,f241]) ).

fof(f2297,plain,
    ( ~ c1_1(a1653)
    | ~ spl0_12
    | spl0_82
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f2294,f781]) ).

fof(f2298,plain,
    ( $false
    | ~ spl0_12
    | spl0_82
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f2297,f776]) ).

fof(f2299,plain,
    ( ~ spl0_12
    | spl0_82
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f2298]) ).

fof(f2304,plain,
    ( ~ c0_1(a1689)
    | ~ spl0_14
    | ~ spl0_43
    | spl0_94 ),
    inference(resolution,[],[f1107,f642]) ).

fof(f2309,plain,
    ( ~ c0_1(a1642)
    | ~ spl0_14
    | ~ spl0_43
    | spl0_73 ),
    inference(resolution,[],[f1107,f537]) ).

fof(f2317,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_43
    | spl0_73
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f2309,f751]) ).

fof(f2318,plain,
    ( ~ spl0_14
    | ~ spl0_43
    | spl0_73
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f2317]) ).

fof(f2321,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_43
    | spl0_94
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f2304,f841]) ).

fof(f2322,plain,
    ( ~ spl0_14
    | ~ spl0_43
    | spl0_94
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f2321]) ).

fof(f2323,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_14
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f248,f289]) ).

fof(f2324,plain,
    ( c1_1(a1639)
    | c0_1(a1639)
    | ~ spl0_8
    | ~ spl0_112 ),
    inference(resolution,[],[f731,f227]) ).

fof(f2325,plain,
    ( c1_1(a1639)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_112 ),
    inference(resolution,[],[f731,f1252]) ).

fof(f2326,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | spl0_68
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f2325,f512]) ).

fof(f2327,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | spl0_68
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f2326]) ).

fof(f2328,plain,
    ( c0_1(a1639)
    | ~ spl0_8
    | spl0_68
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f2324,f512]) ).

fof(f2333,plain,
    ( ~ c0_1(a1646)
    | ~ c2_1(a1646)
    | ~ spl0_10
    | ~ spl0_145 ),
    inference(resolution,[],[f234,f896]) ).

fof(f2341,plain,
    ( ~ c2_1(a1646)
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f2333,f2287]) ).

fof(f2346,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f2341,f901]) ).

fof(f2347,plain,
    ( ~ spl0_10
    | ~ spl0_16
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f2346]) ).

fof(f2352,plain,
    ( ~ spl0_146
    | ~ spl0_7
    | ~ spl0_35
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1122,f904,f334,f222,f899]) ).

fof(f2376,plain,
    ( ~ c0_1(a1647)
    | ~ spl0_2
    | ~ spl0_43
    | ~ spl0_149 ),
    inference(resolution,[],[f2025,f916]) ).

fof(f2383,plain,
    ( ~ c0_1(a1653)
    | ~ spl0_2
    | ~ spl0_43
    | ~ spl0_121 ),
    inference(resolution,[],[f2025,f776]) ).

fof(f2386,plain,
    ( ~ c0_1(a1640)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_43
    | ~ spl0_113 ),
    inference(resolution,[],[f2025,f1748]) ).

fof(f2391,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_43
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f2386,f741]) ).

fof(f2392,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_43
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f2391]) ).

fof(f2393,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_43
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f2383,f781]) ).

fof(f2394,plain,
    ( ~ spl0_2
    | ~ spl0_43
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f2393]) ).

fof(f2400,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_43
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(forward_subsumption_resolution,[],[f2376,f921]) ).

fof(f2401,plain,
    ( ~ spl0_2
    | ~ spl0_43
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2400]) ).

fof(f2417,plain,
    ( c1_1(a1701)
    | c0_1(a1701)
    | ~ spl0_8
    | ~ spl0_137 ),
    inference(resolution,[],[f856,f227]) ).

fof(f2418,plain,
    ( c0_1(a1701)
    | ~ spl0_8
    | spl0_102
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f2417,f682]) ).

fof(f2432,plain,
    ( ~ spl0_119
    | ~ spl0_2
    | ~ spl0_28
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2096,f759,f304,f205,f764]) ).

fof(f2433,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_17
    | ~ spl0_19
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f267,f986]) ).

fof(f2469,plain,
    ( ~ c2_1(a1646)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_147 ),
    inference(resolution,[],[f1667,f906]) ).

fof(f2474,plain,
    ( ~ c2_1(a1650)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_120 ),
    inference(resolution,[],[f1667,f771]) ).

fof(f2492,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_1
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f203,f365]) ).

fof(f2494,plain,
    ( ~ spl0_128
    | ~ spl0_2
    | ~ spl0_28
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2095,f804,f304,f205,f809]) ).

fof(f2536,plain,
    ( c0_1(a1637)
    | ~ spl0_17
    | ~ spl0_19
    | ~ spl0_35
    | ~ spl0_109 ),
    inference(resolution,[],[f2433,f716]) ).

fof(f2538,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_19
    | ~ spl0_35
    | spl0_64
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f2536,f492]) ).

fof(f2539,plain,
    ( ~ spl0_17
    | ~ spl0_19
    | ~ spl0_35
    | spl0_64
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f2538]) ).

fof(f2552,plain,
    ( ~ c1_1(a1650)
    | c0_1(a1650)
    | ~ spl0_13
    | spl0_80 ),
    inference(resolution,[],[f245,f572]) ).

fof(f2564,plain,
    ( c0_1(a1650)
    | ~ spl0_13
    | spl0_80
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f2552,f771]) ).

fof(f2567,plain,
    ( $false
    | ~ spl0_13
    | spl0_80
    | spl0_81
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f2564,f577]) ).

fof(f2568,plain,
    ( ~ spl0_13
    | spl0_80
    | spl0_81
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f2567]) ).

fof(f2584,plain,
    ( c2_1(a1699)
    | ~ spl0_14
    | ~ spl0_24
    | spl0_101 ),
    inference(resolution,[],[f2323,f677]) ).

fof(f2589,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_24
    | spl0_100
    | spl0_101 ),
    inference(forward_subsumption_resolution,[],[f2584,f672]) ).

fof(f2590,plain,
    ( ~ spl0_14
    | ~ spl0_24
    | spl0_100
    | spl0_101 ),
    inference(avatar_contradiction_clause,[],[f2589]) ).

fof(f2606,plain,
    ( c2_1(a1664)
    | ~ c0_1(a1664)
    | ~ spl0_14
    | spl0_87 ),
    inference(resolution,[],[f248,f607]) ).

fof(f2607,plain,
    ( c2_1(a1661)
    | ~ c0_1(a1661)
    | ~ spl0_14
    | spl0_85 ),
    inference(resolution,[],[f248,f597]) ).

fof(f2610,plain,
    ( c2_1(a1639)
    | ~ c0_1(a1639)
    | ~ spl0_14
    | spl0_68 ),
    inference(resolution,[],[f248,f512]) ).

fof(f2611,plain,
    ( c2_1(a1634)
    | ~ c0_1(a1634)
    | ~ spl0_14
    | spl0_60 ),
    inference(resolution,[],[f248,f472]) ).

fof(f2612,plain,
    ( c2_1(a1699)
    | ~ c0_1(a1699)
    | ~ spl0_14
    | spl0_101 ),
    inference(resolution,[],[f248,f677]) ).

fof(f2615,plain,
    ( ~ c0_1(a1699)
    | ~ spl0_14
    | spl0_100
    | spl0_101 ),
    inference(forward_subsumption_resolution,[],[f2612,f672]) ).

fof(f2616,plain,
    ( ~ c0_1(a1634)
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_35
    | spl0_60
    | ~ spl0_107 ),
    inference(forward_subsumption_resolution,[],[f2611,f1274]) ).

fof(f2617,plain,
    ( ~ c0_1(a1639)
    | ~ spl0_14
    | spl0_67
    | spl0_68 ),
    inference(forward_subsumption_resolution,[],[f2610,f507]) ).

fof(f2618,plain,
    ( c2_1(a1661)
    | ~ spl0_14
    | spl0_85
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f2607,f796]) ).

fof(f2619,plain,
    ( ~ c0_1(a1664)
    | ~ spl0_14
    | spl0_86
    | spl0_87 ),
    inference(forward_subsumption_resolution,[],[f2606,f602]) ).

fof(f2623,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_35
    | spl0_60
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f2616,f711]) ).

fof(f2624,plain,
    ( ~ spl0_14
    | ~ spl0_17
    | ~ spl0_35
    | spl0_60
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f2623]) ).

fof(f2625,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_14
    | spl0_67
    | spl0_68
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f2617,f2328]) ).

fof(f2626,plain,
    ( ~ spl0_8
    | ~ spl0_14
    | spl0_67
    | spl0_68
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f2625]) ).

fof(f2627,plain,
    ( $false
    | ~ spl0_14
    | spl0_86
    | spl0_87
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f2619,f801]) ).

fof(f2628,plain,
    ( ~ spl0_14
    | spl0_86
    | spl0_87
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f2627]) ).

fof(f2632,plain,
    ( spl0_66
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1603,f724,f226,f216,f500]) ).

fof(f2688,plain,
    ( c2_1(a1642)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_41
    | spl0_72
    | ~ spl0_116 ),
    inference(resolution,[],[f2492,f2243]) ).

fof(f2702,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_41
    | spl0_72
    | spl0_73
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f2688,f537]) ).

fof(f2703,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_41
    | spl0_72
    | spl0_73
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f2702]) ).

fof(f2710,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f213,f241]) ).

fof(f2731,plain,
    ( ~ c0_1(a1647)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_149 ),
    inference(resolution,[],[f2710,f916]) ).

fof(f2732,plain,
    ( ~ c0_1(a1646)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_147 ),
    inference(resolution,[],[f2710,f906]) ).

fof(f2734,plain,
    ( ~ c0_1(a1689)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_133 ),
    inference(resolution,[],[f2710,f836]) ).

fof(f2743,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f2734,f841]) ).

fof(f2744,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f2743]) ).

fof(f2747,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f2732,f2287]) ).

fof(f2748,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f2747]) ).

fof(f2749,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(forward_subsumption_resolution,[],[f2731,f921]) ).

fof(f2750,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2749]) ).

fof(f2751,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f203,f259]) ).

fof(f2756,plain,
    ( c1_1(a1701)
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_137 ),
    inference(resolution,[],[f2751,f856]) ).

fof(f2762,plain,
    ( c1_1(a1634)
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_107 ),
    inference(resolution,[],[f2751,f706]) ).

fof(f2763,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_17
    | spl0_60
    | ~ spl0_107 ),
    inference(forward_subsumption_resolution,[],[f2762,f472]) ).

fof(f2764,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | spl0_60
    | ~ spl0_107 ),
    inference(avatar_contradiction_clause,[],[f2763]) ).

fof(f2769,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_17
    | spl0_102
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f2756,f682]) ).

fof(f2770,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | spl0_102
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2769]) ).

fof(f2773,definition,
    ( spl0_158
  <=> c0_1(a1639) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f2774,plain,
    ( c0_1(a1639)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f2773]) ).

fof(f2779,plain,
    ( ~ spl0_156
    | ~ spl0_14
    | spl0_100
    | spl0_101 ),
    inference(avatar_split_clause,[],[f2615,f675,f670,f247,f2274]) ).

fof(f2780,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f267,f252]) ).

fof(f2784,plain,
    ( c0_1(a1637)
    | ~ c2_1(a1637)
    | ~ spl0_16
    | ~ spl0_110 ),
    inference(resolution,[],[f721,f255]) ).

fof(f2785,plain,
    ( c0_1(a1637)
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_19
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f2784,f2780]) ).

fof(f2786,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_19
    | spl0_64
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f2785,f492]) ).

fof(f2787,plain,
    ( ~ spl0_15
    | ~ spl0_16
    | ~ spl0_19
    | spl0_64
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f2786]) ).

fof(f2788,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f292,f255]) ).

fof(f2796,plain,
    ( c0_1(a1650)
    | ~ spl0_16
    | ~ spl0_25
    | ~ spl0_120 ),
    inference(resolution,[],[f2788,f771]) ).

fof(f2798,plain,
    ( c0_1(a1637)
    | ~ spl0_16
    | ~ spl0_25
    | ~ spl0_110 ),
    inference(resolution,[],[f2788,f721]) ).

fof(f2799,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_25
    | spl0_64
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f2798,f492]) ).

fof(f2800,plain,
    ( ~ spl0_16
    | ~ spl0_25
    | spl0_64
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f2799]) ).

fof(f2803,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_25
    | spl0_81
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f2796,f577]) ).

fof(f2804,plain,
    ( ~ spl0_16
    | ~ spl0_25
    | spl0_81
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f2803]) ).

fof(f2828,plain,
    ( ~ c2_1(a1661)
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_16
    | spl0_84 ),
    inference(resolution,[],[f1059,f592]) ).

fof(f2842,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_16
    | spl0_84
    | spl0_85
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f2828,f2618]) ).

fof(f2843,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_16
    | spl0_84
    | spl0_85
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f2842]) ).

fof(f2850,plain,
    ( ~ spl0_146
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2469,f904,f254,f205,f899]) ).

fof(f2896,plain,
    ( ~ c0_1(a1682)
    | ~ c2_1(a1682)
    | ~ spl0_9
    | spl0_93 ),
    inference(resolution,[],[f231,f637]) ).

fof(f2900,plain,
    ( ~ c0_1(a1648)
    | ~ c2_1(a1648)
    | ~ spl0_9
    | spl0_79 ),
    inference(resolution,[],[f231,f567]) ).

fof(f2910,plain,
    ( ~ c2_1(a1648)
    | ~ spl0_9
    | spl0_79
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f2900,f766]) ).

fof(f2912,plain,
    ( ~ c0_1(a1682)
    | ~ spl0_9
    | spl0_93
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f2896,f826]) ).

fof(f2917,plain,
    ( $false
    | ~ spl0_9
    | spl0_79
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f2910,f761]) ).

fof(f2918,plain,
    ( ~ spl0_9
    | spl0_79
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f2917]) ).

fof(f2936,plain,
    ( c0_1(a1699)
    | c1_1(a1699)
    | ~ spl0_18
    | spl0_99 ),
    inference(resolution,[],[f263,f667]) ).

fof(f2971,plain,
    ( c0_1(a1701)
    | ~ c2_1(a1701)
    | ~ spl0_20
    | ~ spl0_137 ),
    inference(resolution,[],[f270,f856]) ).

fof(f2987,plain,
    ( c2_1(a1640)
    | ~ c0_1(a1640)
    | ~ spl0_29
    | ~ spl0_113 ),
    inference(resolution,[],[f308,f736]) ).

fof(f2988,plain,
    ( c2_1(a1639)
    | ~ c0_1(a1639)
    | ~ spl0_29
    | ~ spl0_112 ),
    inference(resolution,[],[f308,f731]) ).

fof(f2991,plain,
    ( c2_1(a1634)
    | ~ c0_1(a1634)
    | ~ spl0_29
    | ~ spl0_107 ),
    inference(resolution,[],[f308,f706]) ).

fof(f2992,plain,
    ( ~ c0_1(a1634)
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_107 ),
    inference(forward_subsumption_resolution,[],[f2991,f1274]) ).

fof(f2993,plain,
    ( ~ c0_1(a1639)
    | ~ spl0_29
    | spl0_67
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f2988,f507]) ).

fof(f2994,plain,
    ( ~ c0_1(a1640)
    | ~ spl0_29
    | spl0_69
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f2987,f517]) ).

fof(f3000,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f2992,f711]) ).

fof(f3001,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f3000]) ).

fof(f3002,plain,
    ( $false
    | ~ spl0_29
    | spl0_67
    | ~ spl0_112
    | ~ spl0_158 ),
    inference(forward_subsumption_resolution,[],[f2993,f2774]) ).

fof(f3003,plain,
    ( ~ spl0_29
    | spl0_67
    | ~ spl0_112
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f3002]) ).

fof(f3004,plain,
    ( $false
    | ~ spl0_29
    | spl0_69
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f2994,f741]) ).

fof(f3005,plain,
    ( ~ spl0_29
    | spl0_69
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f3004]) ).

fof(f3018,definition,
    ( spl0_159
  <=> c0_1(a1682) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f3026,plain,
    ( c1_1(a1699)
    | ~ spl0_18
    | spl0_99
    | spl0_156 ),
    inference(forward_subsumption_resolution,[],[f2936,f2275]) ).

fof(f3031,plain,
    ( ~ c2_1(a1701)
    | ~ spl0_20
    | spl0_103
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f2971,f687]) ).

fof(f3036,plain,
    ( $false
    | ~ spl0_18
    | spl0_99
    | spl0_101
    | spl0_156 ),
    inference(forward_subsumption_resolution,[],[f3026,f677]) ).

fof(f3037,plain,
    ( ~ spl0_18
    | spl0_99
    | spl0_101
    | spl0_156 ),
    inference(avatar_contradiction_clause,[],[f3036]) ).

fof(f3040,plain,
    ( ~ spl0_157
    | ~ spl0_20
    | spl0_103
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f3031,f854,f685,f269,f2281]) ).

fof(f3052,plain,
    ( ~ c2_1(a1682)
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_132 ),
    inference(resolution,[],[f831,f1667]) ).

fof(f3053,plain,
    ( c0_1(a1682)
    | ~ c2_1(a1682)
    | ~ spl0_16
    | ~ spl0_132 ),
    inference(resolution,[],[f831,f255]) ).

fof(f3054,plain,
    ( c0_1(a1682)
    | ~ spl0_16
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f3053,f826]) ).

fof(f3055,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f3052,f826]) ).

fof(f3056,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f3055]) ).

fof(f3057,plain,
    ( spl0_159
    | ~ spl0_16
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f3054,f829,f824,f254,f3018]) ).

fof(f3061,plain,
    ( ~ spl0_159
    | ~ spl0_9
    | spl0_93
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2912,f824,f635,f230,f3018]) ).

fof(f3088,plain,
    ( c0_1(a1637)
    | ~ c1_1(a1637)
    | ~ spl0_5
    | ~ spl0_109 ),
    inference(resolution,[],[f217,f716]) ).

fof(f3091,plain,
    ( ~ c1_1(a1637)
    | ~ spl0_5
    | spl0_64
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f3088,f492]) ).

fof(f3095,plain,
    ( $false
    | ~ spl0_5
    | spl0_64
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f3091,f721]) ).

fof(f3096,plain,
    ( ~ spl0_5
    | spl0_64
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f3095]) ).

fof(f3133,plain,
    ( c0_1(a1650)
    | c2_1(a1650)
    | ~ spl0_15
    | spl0_80 ),
    inference(resolution,[],[f252,f572]) ).

fof(f3138,plain,
    ( c0_1(a1697)
    | c2_1(a1697)
    | ~ spl0_15
    | spl0_96 ),
    inference(resolution,[],[f252,f652]) ).

fof(f3142,plain,
    ( c2_1(a1697)
    | ~ spl0_15
    | spl0_96
    | spl0_98 ),
    inference(forward_subsumption_resolution,[],[f3138,f662]) ).

fof(f3144,plain,
    ( c2_1(a1650)
    | ~ spl0_15
    | spl0_80
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f3133,f577]) ).

fof(f3145,plain,
    ( $false
    | ~ spl0_15
    | spl0_96
    | spl0_97
    | spl0_98 ),
    inference(forward_subsumption_resolution,[],[f3142,f657]) ).

fof(f3146,plain,
    ( ~ spl0_15
    | spl0_96
    | spl0_97
    | spl0_98 ),
    inference(avatar_contradiction_clause,[],[f3145]) ).

fof(f3147,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_16
    | spl0_80
    | spl0_81
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f3144,f2474]) ).

fof(f3148,plain,
    ( ~ spl0_2
    | ~ spl0_15
    | ~ spl0_16
    | spl0_80
    | spl0_81
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f3147]) ).

fof(f3153,plain,
    ( c2_1(a1701)
    | c0_1(a1701)
    | ~ spl0_24
    | spl0_102 ),
    inference(resolution,[],[f289,f682]) ).

fof(f3167,plain,
    ( c2_1(a1636)
    | c0_1(a1636)
    | ~ spl0_24
    | spl0_62 ),
    inference(resolution,[],[f289,f482]) ).

fof(f3169,plain,
    ( c0_1(a1636)
    | ~ spl0_24
    | spl0_61
    | spl0_62 ),
    inference(forward_subsumption_resolution,[],[f3167,f477]) ).

fof(f3175,plain,
    ( c0_1(a1701)
    | ~ spl0_24
    | spl0_102
    | spl0_157 ),
    inference(forward_subsumption_resolution,[],[f3153,f2283]) ).

fof(f3177,plain,
    ( $false
    | ~ spl0_24
    | spl0_61
    | spl0_62
    | spl0_63 ),
    inference(forward_subsumption_resolution,[],[f3169,f487]) ).

fof(f3178,plain,
    ( ~ spl0_24
    | spl0_61
    | spl0_62
    | spl0_63 ),
    inference(avatar_contradiction_clause,[],[f3177]) ).

fof(f3183,plain,
    ( $false
    | ~ spl0_24
    | spl0_102
    | spl0_103
    | spl0_157 ),
    inference(forward_subsumption_resolution,[],[f3175,f687]) ).

fof(f3184,plain,
    ( ~ spl0_24
    | spl0_102
    | spl0_103
    | spl0_157 ),
    inference(avatar_contradiction_clause,[],[f3183]) ).

fof(f3191,plain,
    ( spl0_158
    | ~ spl0_8
    | spl0_68
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2328,f729,f510,f226,f2773]) ).

fof(f3193,plain,
    ( spl0_103
    | ~ spl0_8
    | spl0_102
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2418,f854,f680,f226,f685]) ).

fof(f3201,plain,
    ( ~ c2_1(a1650)
    | ~ spl0_7
    | spl0_80
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f2193,f771]) ).

fof(f3211,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_15
    | spl0_80
    | spl0_81
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f3201,f3144]) ).

fof(f3212,plain,
    ( ~ spl0_7
    | ~ spl0_15
    | spl0_80
    | spl0_81
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f3211]) ).

fof(f3301,plain,
    ( c1_1(a1691)
    | ~ c2_1(a1691)
    | ~ spl0_17
    | ~ spl0_135 ),
    inference(resolution,[],[f259,f846]) ).

fof(f3329,plain,
    ( c2_1(a1638)
    | c0_1(a1638)
    | ~ spl0_19
    | ~ spl0_111 ),
    inference(resolution,[],[f267,f726]) ).

fof(f3333,plain,
    ( c0_1(a1638)
    | ~ spl0_19
    | spl0_65
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f3329,f497]) ).

fof(f3336,plain,
    ( $false
    | ~ spl0_19
    | spl0_65
    | spl0_66
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f3333,f502]) ).

fof(f3337,plain,
    ( ~ spl0_19
    | spl0_65
    | spl0_66
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f3336]) ).

fof(f3347,plain,
    ( c2_1(a1650)
    | c0_1(a1650)
    | ~ spl0_25
    | ~ spl0_120 ),
    inference(resolution,[],[f292,f771]) ).

fof(f3351,plain,
    ( c0_1(a1650)
    | ~ spl0_7
    | ~ spl0_25
    | spl0_80
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f3347,f2209]) ).

fof(f3355,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_25
    | spl0_80
    | spl0_81
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f3351,f577]) ).

fof(f3356,plain,
    ( ~ spl0_7
    | ~ spl0_25
    | spl0_80
    | spl0_81
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f3355]) ).

fof(f3360,plain,
    ( spl0_104
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1631,f864,f244,f216,f690]) ).

fof(f3361,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | spl0_64
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f1640,f492]) ).

fof(f3362,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | spl0_64
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f3361]) ).

fof(f3364,plain,
    ( ~ c2_1(a1646)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f2333,f1626]) ).

fof(f3370,plain,
    ( ~ c2_1(a1691)
    | ~ spl0_17
    | spl0_95
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f3301,f647]) ).

fof(f3371,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f3364,f901]) ).

fof(f3372,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f3371]) ).

fof(f3376,plain,
    ( $false
    | ~ spl0_17
    | spl0_95
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f3370,f851]) ).

fof(f3377,plain,
    ( ~ spl0_17
    | spl0_95
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f3376]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f214]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f224]) ).

cnf(s3,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f228]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f235]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f242]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f249]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f256]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_14
    | spl0_17 ),
    inference(sat_conversion,[],[f260]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_7
    | spl0_18 ),
    inference(sat_conversion,[],[f264]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f271]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_7
    | spl0_21 ),
    inference(sat_conversion,[],[f276]) ).

cnf(s12,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_7
    | spl0_22 ),
    inference(sat_conversion,[],[f281]) ).

cnf(s13,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_12
    | spl0_23 ),
    inference(sat_conversion,[],[f286]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f293]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f309]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_28
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f314]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f332]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_22
    | spl0_35 ),
    inference(sat_conversion,[],[f336]) ).

cnf(s22,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_17
    | spl0_36 ),
    inference(sat_conversion,[],[f341]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_14
    | spl0_38 ),
    inference(sat_conversion,[],[f350]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_19
    | spl0_39 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s30,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_16 ),
    inference(sat_conversion,[],[f367]) ).

cnf(s31,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_41
    | spl0_44 ),
    inference(sat_conversion,[],[f380]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_15
    | spl0_40 ),
    inference(sat_conversion,[],[f381]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_35
    | spl0_47 ),
    inference(sat_conversion,[],[f394]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_33
    | spl0_35
    | spl0_38 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s38,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_42
    | spl0_51 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s42,plain,
    ( ~ spl0_3
    | spl0_34
    | spl0_44
    | spl0_48 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s43,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_29
    | spl0_49 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s44,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_23
    | spl0_54 ),
    inference(sat_conversion,[],[f431]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_38
    | spl0_55 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_32
    | spl0_40 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_30
    | spl0_37 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s54,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_58
    | spl0_59 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s55,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_45
    | spl0_59 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_23
    | spl0_45 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s58,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_32
    | spl0_56 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s59,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_52
    | spl0_58 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_30
    | spl0_44 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s62,plain,
    ( ~ spl0_45
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s63,plain,
    ( ~ spl0_52
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s64,plain,
    ( ~ spl0_52
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s65,plain,
    ( ~ spl0_52
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s66,plain,
    ( ~ spl0_30
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s67,plain,
    ( ~ spl0_44
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s68,plain,
    ( ~ spl0_44
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s69,plain,
    ( ~ spl0_42
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f508]) ).

cnf(s70,plain,
    ( ~ spl0_42
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s71,plain,
    ( ~ spl0_32
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s72,plain,
    ( ~ spl0_56
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s73,plain,
    ( ~ spl0_56
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f528]) ).

cnf(s74,plain,
    ( ~ spl0_33
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s75,plain,
    ( ~ spl0_33
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s78,plain,
    ( ~ spl0_22
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s79,plain,
    ( ~ spl0_22
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s80,plain,
    ( ~ spl0_22
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s81,plain,
    ( ~ spl0_58
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s82,plain,
    ( ~ spl0_38
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s83,plain,
    ( ~ spl0_38
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s84,plain,
    ( ~ spl0_39
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s86,plain,
    ( ~ spl0_36
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s87,plain,
    ( ~ spl0_36
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f598]) ).

cnf(s88,plain,
    ( ~ spl0_31
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s89,plain,
    ( ~ spl0_31
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s91,plain,
    ( ~ spl0_27
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s92,plain,
    ( ~ spl0_27
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s94,plain,
    ( ~ spl0_26
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s95,plain,
    ( ~ spl0_54
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s96,plain,
    ( ~ spl0_49
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s97,plain,
    ( ~ spl0_48
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s98,plain,
    ( ~ spl0_21
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s99,plain,
    ( ~ spl0_21
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s100,plain,
    ( ~ spl0_21
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s101,plain,
    ( ~ spl0_51
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f668]) ).

cnf(s102,plain,
    ( ~ spl0_51
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s103,plain,
    ( ~ spl0_51
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s104,plain,
    ( ~ spl0_50
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s105,plain,
    ( ~ spl0_50
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s106,plain,
    ( ~ spl0_47
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s108,plain,
    ( ~ spl0_45
    | spl0_107 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s109,plain,
    ( ~ spl0_45
    | spl0_108 ),
    inference(sat_conversion,[],[f712]) ).

cnf(s110,plain,
    ( ~ spl0_30
    | spl0_109 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s111,plain,
    ( ~ spl0_30
    | spl0_110 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s112,plain,
    ( ~ spl0_44
    | spl0_111 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s113,plain,
    ( ~ spl0_42
    | spl0_112 ),
    inference(sat_conversion,[],[f732]) ).

cnf(s114,plain,
    ( ~ spl0_32
    | spl0_113 ),
    inference(sat_conversion,[],[f737]) ).

cnf(s115,plain,
    ( ~ spl0_32
    | spl0_114 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s116,plain,
    ( ~ spl0_56
    | spl0_115 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s117,plain,
    ( ~ spl0_33
    | spl0_116 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s119,plain,
    ( ~ spl0_58
    | spl0_118 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s120,plain,
    ( ~ spl0_58
    | spl0_119 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s121,plain,
    ( ~ spl0_38
    | spl0_120 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s122,plain,
    ( ~ spl0_39
    | spl0_121 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s123,plain,
    ( ~ spl0_39
    | spl0_122 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s124,plain,
    ( ~ spl0_55
    | spl0_123 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s126,plain,
    ( ~ spl0_36
    | spl0_125 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s127,plain,
    ( ~ spl0_31
    | spl0_126 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s128,plain,
    ( ~ spl0_59
    | spl0_127 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s129,plain,
    ( ~ spl0_59
    | spl0_128 ),
    inference(sat_conversion,[],[f812]) ).

cnf(s131,plain,
    ( ~ spl0_26
    | spl0_130 ),
    inference(sat_conversion,[],[f822]) ).

cnf(s132,plain,
    ( ~ spl0_54
    | spl0_131 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s133,plain,
    ( ~ spl0_54
    | spl0_132 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s134,plain,
    ( ~ spl0_49
    | spl0_133 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s135,plain,
    ( ~ spl0_49
    | spl0_134 ),
    inference(sat_conversion,[],[f842]) ).

cnf(s136,plain,
    ( ~ spl0_48
    | spl0_135 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s137,plain,
    ( ~ spl0_48
    | spl0_136 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s138,plain,
    ( ~ spl0_50
    | spl0_137 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s139,plain,
    ( ~ spl0_47
    | spl0_138 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s140,plain,
    ( ~ spl0_47
    | spl0_139 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s146,plain,
    ( ~ spl0_23
    | spl0_145 ),
    inference(sat_conversion,[],[f897]) ).

cnf(s147,plain,
    ( ~ spl0_23
    | spl0_146 ),
    inference(sat_conversion,[],[f902]) ).

cnf(s148,plain,
    ( ~ spl0_23
    | spl0_147 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s150,plain,
    ( ~ spl0_40
    | spl0_149 ),
    inference(sat_conversion,[],[f917]) ).

cnf(s151,plain,
    ( ~ spl0_40
    | spl0_150 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s155,plain,
    ( spl0_27
    | spl0_38
    | spl0_52 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s156,plain,
    ( spl0_48
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s157,plain,
    ( spl0_27
    | spl0_47
    | spl0_52 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s159,plain,
    ( spl0_31
    | spl0_52
    | spl0_54 ),
    inference(sat_conversion,[],[f946]) ).

cnf(s162,plain,
    ( spl0_32
    | spl0_45
    | spl0_52 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s163,plain,
    ( spl0_26
    | spl0_38
    | spl0_58 ),
    inference(sat_conversion,[],[f950]) ).

cnf(s165,plain,
    ( spl0_39
    | spl0_47
    | spl0_50 ),
    inference(sat_conversion,[],[f952]) ).

cnf(s166,plain,
    ( spl0_32
    | spl0_39
    | spl0_50 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s168,plain,
    ( spl0_49
    | spl0_57
    | spl0_152 ),
    inference(sat_conversion,[],[f955]) ).

cnf(s185,plain,
    ( spl0_3
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f972]) ).

cnf(s190,plain,
    ( spl0_3
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s192,plain,
    ( spl0_3
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s207,plain,
    ( ~ spl0_11
    | ~ spl0_24
    | spl0_62
    | spl0_63 ),
    inference(sat_conversion,[],[f1043]) ).

cnf(s208,plain,
    ( ~ spl0_11
    | ~ spl0_24
    | spl0_77
    | spl0_78 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s210,plain,
    ( ~ spl0_11
    | ~ spl0_24
    | spl0_89
    | spl0_90 ),
    inference(sat_conversion,[],[f1053]) ).

cnf(s226,plain,
    ( ~ spl0_1
    | ~ spl0_34
    | spl0_69
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1120]) ).

cnf(s227,plain,
    ( ~ spl0_7
    | ~ spl0_35
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1131]) ).

cnf(s271,plain,
    ( ~ spl0_7
    | ~ spl0_35
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1261]) ).

cnf(s277,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | ~ spl0_16
    | spl0_76
    | spl0_78 ),
    inference(sat_conversion,[],[f1308]) ).

cnf(s329,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1435]) ).

cnf(s342,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1462]) ).

cnf(s363,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_41
    | spl0_100
    | spl0_101 ),
    inference(sat_conversion,[],[f1556]) ).

cnf(s389,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | spl0_81
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1644]) ).

cnf(s394,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | spl0_60
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f1662]) ).

cnf(s395,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | spl0_95
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1664]) ).

cnf(s432,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1782]) ).

cnf(s434,plain,
    ( ~ spl0_11
    | ~ spl0_16
    | spl0_71
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1786]) ).

cnf(s436,plain,
    ( ~ spl0_7
    | ~ spl0_37
    | spl0_70
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1824]) ).

cnf(s444,plain,
    ( ~ spl0_11
    | ~ spl0_16
    | ~ spl0_25
    | spl0_92
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1857]) ).

cnf(s463,plain,
    ( ~ spl0_9
    | ~ spl0_46
    | spl0_72
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1926]) ).

cnf(s488,plain,
    ( ~ spl0_8
    | ~ spl0_18
    | spl0_77
    | spl0_78 ),
    inference(sat_conversion,[],[f1987]) ).

cnf(s489,plain,
    ( ~ spl0_8
    | ~ spl0_18
    | spl0_89
    | spl0_90 ),
    inference(sat_conversion,[],[f1989]) ).

cnf(s515,plain,
    ( ~ spl0_8
    | ~ spl0_18
    | spl0_62
    | spl0_63 ),
    inference(sat_conversion,[],[f2065]) ).

cnf(s553,plain,
    ( ~ spl0_7
    | spl0_93
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f2215]) ).

cnf(s560,plain,
    ( ~ spl0_16
    | spl0_104
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f2291]) ).

cnf(s562,plain,
    ( ~ spl0_12
    | spl0_82
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2299]) ).

cnf(s564,plain,
    ( ~ spl0_14
    | ~ spl0_43
    | spl0_73
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f2318]) ).

cnf(s566,plain,
    ( ~ spl0_14
    | ~ spl0_43
    | spl0_94
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2322]) ).

cnf(s567,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | spl0_68
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f2327]) ).

cnf(s569,plain,
    ( ~ spl0_10
    | ~ spl0_16
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2347]) ).

cnf(s572,plain,
    ( ~ spl0_7
    | ~ spl0_35
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2352]) ).

cnf(s577,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_43
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f2392]) ).

cnf(s578,plain,
    ( ~ spl0_2
    | ~ spl0_43
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2394]) ).

cnf(s582,plain,
    ( ~ spl0_2
    | ~ spl0_43
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f2401]) ).

cnf(s590,plain,
    ( ~ spl0_2
    | ~ spl0_28
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f2432]) ).

cnf(s597,plain,
    ( ~ spl0_2
    | ~ spl0_28
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f2494]) ).

cnf(s606,plain,
    ( ~ spl0_17
    | ~ spl0_19
    | ~ spl0_35
    | spl0_64
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f2539]) ).

cnf(s608,plain,
    ( ~ spl0_13
    | spl0_80
    | spl0_81
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2568]) ).

cnf(s611,plain,
    ( ~ spl0_14
    | ~ spl0_24
    | spl0_100
    | spl0_101 ),
    inference(sat_conversion,[],[f2590]) ).

cnf(s617,plain,
    ( ~ spl0_14
    | ~ spl0_17
    | ~ spl0_35
    | spl0_60
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f2624]) ).

cnf(s618,plain,
    ( ~ spl0_8
    | ~ spl0_14
    | spl0_67
    | spl0_68
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f2626]) ).

cnf(s619,plain,
    ( ~ spl0_14
    | spl0_86
    | spl0_87
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f2628]) ).

cnf(s621,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_66
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f2632]) ).

cnf(s636,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_41
    | spl0_72
    | spl0_73
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f2703]) ).

cnf(s646,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2744]) ).

cnf(s648,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2748]) ).

cnf(s649,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f2750]) ).

cnf(s650,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | spl0_60
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f2764]) ).

cnf(s653,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | spl0_102
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2770]) ).

cnf(s655,plain,
    ( ~ spl0_14
    | spl0_100
    | spl0_101
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2779]) ).

cnf(s656,plain,
    ( ~ spl0_15
    | ~ spl0_16
    | ~ spl0_19
    | spl0_64
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2787]) ).

cnf(s657,plain,
    ( ~ spl0_16
    | ~ spl0_25
    | spl0_64
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2800]) ).

cnf(s659,plain,
    ( ~ spl0_16
    | ~ spl0_25
    | spl0_81
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2804]) ).

cnf(s669,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_16
    | spl0_84
    | spl0_85
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2843]) ).

cnf(s672,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2850]) ).

cnf(s681,plain,
    ( ~ spl0_9
    | spl0_79
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f2918]) ).

cnf(s690,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f3001]) ).

cnf(s691,plain,
    ( ~ spl0_29
    | spl0_67
    | ~ spl0_112
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f3003]) ).

cnf(s692,plain,
    ( ~ spl0_29
    | spl0_69
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f3005]) ).

cnf(s699,plain,
    ( ~ spl0_18
    | spl0_99
    | spl0_101
    | spl0_156 ),
    inference(sat_conversion,[],[f3037]) ).

cnf(s701,plain,
    ( ~ spl0_20
    | spl0_103
    | ~ spl0_137
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f3040]) ).

cnf(s702,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f3056]) ).

cnf(s703,plain,
    ( ~ spl0_16
    | ~ spl0_131
    | ~ spl0_132
    | spl0_159 ),
    inference(sat_conversion,[],[f3057]) ).

cnf(s704,plain,
    ( ~ spl0_9
    | spl0_93
    | ~ spl0_131
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f3061]) ).

cnf(s708,plain,
    ( ~ spl0_5
    | spl0_64
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f3096]) ).

cnf(s710,plain,
    ( ~ spl0_15
    | spl0_96
    | spl0_97
    | spl0_98 ),
    inference(sat_conversion,[],[f3146]) ).

cnf(s711,plain,
    ( ~ spl0_2
    | ~ spl0_15
    | ~ spl0_16
    | spl0_80
    | spl0_81
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f3148]) ).

cnf(s712,plain,
    ( ~ spl0_24
    | spl0_61
    | spl0_62
    | spl0_63 ),
    inference(sat_conversion,[],[f3178]) ).

cnf(s715,plain,
    ( ~ spl0_24
    | spl0_102
    | spl0_103
    | spl0_157 ),
    inference(sat_conversion,[],[f3184]) ).

cnf(s717,plain,
    ( ~ spl0_8
    | spl0_68
    | ~ spl0_112
    | spl0_158 ),
    inference(sat_conversion,[],[f3191]) ).

cnf(s718,plain,
    ( ~ spl0_8
    | spl0_102
    | spl0_103
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f3193]) ).

cnf(s723,plain,
    ( ~ spl0_7
    | ~ spl0_15
    | spl0_80
    | spl0_81
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f3212]) ).

cnf(s732,plain,
    ( ~ spl0_19
    | spl0_65
    | spl0_66
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f3337]) ).

cnf(s735,plain,
    ( ~ spl0_7
    | ~ spl0_25
    | spl0_80
    | spl0_81
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f3356]) ).

cnf(s737,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | spl0_104
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f3360]) ).

cnf(s739,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | spl0_64
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f3362]) ).

cnf(s740,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f3372]) ).

cnf(s742,plain,
    ( ~ spl0_17
    | spl0_95
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f3377]) ).

cnf(s743,plain,
    spl0_3,
    inference(rat,[],[s168,s185,s190,s192]) ).

cnf(s744,plain,
    ( ~ spl0_23
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(rat,[],[s569,s146,s147,s148]) ).

cnf(s745,plain,
    ( ~ spl0_47
    | ~ spl0_16 ),
    inference(rat,[],[s560,s106,s139,s140]) ).

cnf(s746,plain,
    ( ~ spl0_54
    | ~ spl0_35
    | ~ spl0_7 ),
    inference(rat,[],[s271,s132,s133]) ).

cnf(s747,plain,
    ( spl0_23
    | spl0_8
    | ~ spl0_7
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s646,s134,s135,s43,s690,s44,s746,s35,s108,s109,s56,s13,s745,s30,s743]) ).

cnf(s748,plain,
    ( ~ spl0_48
    | ~ spl0_17 ),
    inference(rat,[],[s742,s97,s136,s137]) ).

cnf(s749,plain,
    ( ~ spl0_56
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(rat,[],[s434,s73,s116]) ).

cnf(s750,plain,
    ( ~ spl0_54
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(rat,[],[s704,s703,s95,s132,s133]) ).

cnf(s751,plain,
    ( spl0_8
    | ~ spl0_7
    | spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s659,s83,s121,s24,s669,s86,s87,s126,s22,s748,s156,s750,s749,s14,s277,s208,s78,s79,s80,s21,s4,s5,s572,s648,s744,s147,s148,s747,s30,s1,s743]) ).

cnf(s752,plain,
    ( ~ spl0_54
    | ~ spl0_7 ),
    inference(rat,[],[s553,s95,s132,s133]) ).

cnf(s754,plain,
    ( spl0_14
    | spl0_12
    | spl0_5 ),
    inference(rat,[],[s608,s82,s83,s121,s6,s24,s743]) ).

cnf(s755,plain,
    ( ~ spl0_22
    | ~ spl0_24
    | ~ spl0_11 ),
    inference(rat,[],[s208,s79,s80]) ).

cnf(s756,plain,
    ( ~ spl0_27
    | ~ spl0_24
    | ~ spl0_11 ),
    inference(rat,[],[s210,s91,s92]) ).

cnf(s757,plain,
    ( ~ spl0_24
    | spl0_47
    | ~ spl0_11 ),
    inference(rat,[],[s207,s64,s65,s157,s756]) ).

cnf(s758,plain,
    ( spl0_80
    | ~ spl0_120
    | spl0_81
    | spl0_24
    | ~ spl0_7 ),
    inference(rat,[],[s14,s723,s735,s743]) ).

cnf(s759,plain,
    ( ~ spl0_42
    | ~ spl0_14
    | ~ spl0_8 ),
    inference(rat,[],[s618,s69,s70,s113]) ).

cnf(s760,plain,
    ( ~ spl0_31
    | ~ spl0_14 ),
    inference(rat,[],[s619,s88,s89,s127]) ).

cnf(s761,plain,
    ( ~ spl0_49
    | spl0_54
    | ~ spl0_8
    | spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s515,s64,s65,s159,s760,s31,s759,s566,s754,s646,s96,s134,s135,s743]) ).

cnf(s762,plain,
    ( ~ spl0_33
    | ~ spl0_43
    | ~ spl0_14 ),
    inference(rat,[],[s564,s75,s117]) ).

cnf(s763,plain,
    ( ~ spl0_14
    | spl0_35
    | ~ spl0_8
    | ~ spl0_7 ),
    inference(rat,[],[s758,s82,s83,s121,s36,s762,s31,s712,s515,s63,s64,s65,s159,s760,s759,s752,s743]) ).

cnf(s764,plain,
    ( ~ spl0_7
    | spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s649,s150,s151,s33,s723,s82,s83,s121,s754,s24,s763,s572,s147,s148,s44,s748,s38,s761,s752,s751,s1,s743]) ).

cnf(s765,plain,
    ( ~ spl0_48
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(rat,[],[s395,s97,s136]) ).

cnf(s766,plain,
    ( ~ spl0_14
    | spl0_94
    | ~ spl0_134
    | spl0_18
    | ~ spl0_8 ),
    inference(rat,[],[s566,s31,s759,s743]) ).

cnf(s767,plain,
    ( spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s754,s646,s766,s96,s134,s135,s38,s765,s488,s79,s80,s2,s3,s12,s764,s1,s743]) ).

cnf(s768,plain,
    ( ~ spl0_30
    | ~ spl0_13
    | ~ spl0_5 ),
    inference(rat,[],[s739,s66,s111]) ).

cnf(s769,plain,
    ( ~ spl0_44
    | ~ spl0_8
    | ~ spl0_5 ),
    inference(rat,[],[s621,s68,s112]) ).

cnf(s770,plain,
    ( ~ spl0_8
    | spl0_35
    | ~ spl0_145
    | ~ spl0_146
    | spl0_12
    | ~ spl0_7
    | ~ spl0_5 ),
    inference(rat,[],[s737,s106,s140,s757,s60,s769,s768,s6,s5,s763,s740,s743]) ).

cnf(s772,plain,
    ( ~ spl0_58
    | ~ spl0_9 ),
    inference(rat,[],[s681,s81,s119,s120]) ).

cnf(s773,plain,
    ( ~ spl0_26
    | ~ spl0_25
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(rat,[],[s444,s94,s131]) ).

cnf(s774,plain,
    ( spl0_12
    | ~ spl0_7
    | ~ spl0_5
    | spl0_2 ),
    inference(rat,[],[s758,s82,s83,s121,s163,s773,s772,s14,s277,s208,s4,s5,s78,s79,s80,s744,s21,s30,s770,s572,s146,s147,s148,s13,s743]) ).

cnf(s775,plain,
    ( spl0_8
    | ~ spl0_12
    | ~ spl0_7
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s648,s147,s148,s747,s30,s743]) ).

cnf(s776,plain,
    ( ~ spl0_30
    | ~ spl0_5 ),
    inference(rat,[],[s708,s66,s110,s111]) ).

cnf(s777,plain,
    ( ~ spl0_52
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s207,s64,s65]) ).

cnf(s778,plain,
    ( ~ spl0_11
    | spl0_16
    | ~ spl0_24
    | ~ spl0_7 ),
    inference(rat,[],[s772,s59,s7,s723,s82,s83,s121,s155,s777,s756,s743]) ).

cnf(s779,plain,
    ( ~ spl0_49
    | ~ spl0_12
    | ~ spl0_4 ),
    inference(rat,[],[s646,s134,s135]) ).

cnf(s780,plain,
    ( ~ spl0_7
    | ~ spl0_5
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s8,s778,s763,s648,s572,s147,s148,s44,s748,s38,s779,s60,s769,s775,s774,s752,s776,s743]) ).

cnf(s781,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s740,s146,s147,s5,s13,s779,s38,s765,s755,s9,s60,s488,s769,s79,s80,s3,s12,s780,s776,s767,s1,s743]) ).

cnf(s782,plain,
    ( ~ spl0_23
    | ~ spl0_16
    | ~ spl0_2 ),
    inference(rat,[],[s672,s147,s148]) ).

cnf(s783,plain,
    ( ~ spl0_59
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s597,s128,s129]) ).

cnf(s784,plain,
    ( ~ spl0_28
    | spl0_1 ),
    inference(rat,[],[s590,s119,s120,s54,s783,s781,s743]) ).

cnf(s785,plain,
    ( spl0_8
    | ~ spl0_29
    | ~ spl0_2 ),
    inference(rat,[],[s702,s132,s133,s44,s690,s108,s109,s35,s56,s782,s745,s30,s743]) ).

cnf(s786,plain,
    ( ~ spl0_23
    | spl0_12
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_5 ),
    inference(rat,[],[s770,s572,s146,s147,s148]) ).

cnf(s787,plain,
    ( spl0_35
    | spl0_12
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_5 ),
    inference(rat,[],[s737,s6,s106,s140,s763,s35,s786,s743]) ).

cnf(s788,plain,
    ( ~ spl0_42
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(rat,[],[s717,s691,s69,s70,s113]) ).

cnf(s790,plain,
    ( ~ spl0_52
    | ~ spl0_24 ),
    inference(rat,[],[s712,s63,s64,s65]) ).

cnf(s791,plain,
    ( ~ spl0_38
    | ~ spl0_13
    | ~ spl0_5 ),
    inference(rat,[],[s389,s83,s121]) ).

cnf(s793,plain,
    ( ~ spl0_32
    | ~ spl0_29 ),
    inference(rat,[],[s692,s71,s114,s115]) ).

cnf(s794,plain,
    ( spl0_12
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_29
    | ~ spl0_5 ),
    inference(rat,[],[s690,s44,s787,s786,s109,s108,s162,s793,s790,s60,s769,s776,s752,s743]) ).

cnf(s795,plain,
    ( spl0_16
    | ~ spl0_7
    | spl0_32
    | spl0_42
    | ~ spl0_24
    | ~ spl0_8
    | spl0_30
    | ~ spl0_2 ),
    inference(rat,[],[s488,s79,s80,s53,s31,s436,s582,s72,s116,s150,s151,s58,s49,s778,s743]) ).

cnf(s796,plain,
    ( ~ spl0_7
    | ~ spl0_24
    | ~ spl0_29
    | spl0_30
    | ~ spl0_2 ),
    inference(rat,[],[s690,s44,s35,s782,s745,s795,s752,s788,s785,s109,s108,s162,s793,s790,s743]) ).

cnf(s797,plain,
    ( ~ spl0_27
    | ~ spl0_18
    | ~ spl0_8 ),
    inference(rat,[],[s489,s91,s92]) ).

cnf(s798,plain,
    ( ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s772,s59,s7,s710,s98,s99,s100,s11,s649,s150,s151,s6,s49,s791,s745,s155,s157,s797,s611,s102,s103,s9,s40,s796,s394,s62,s108,s162,s793,s790,s788,s60,s769,s785,s17,s776,s781,s784,s743]) ).

cnf(s799,plain,
    ( ~ spl0_39
    | ~ spl0_12 ),
    inference(rat,[],[s562,s84,s122,s123]) ).

cnf(s801,plain,
    ( ~ spl0_54
    | ~ spl0_16
    | ~ spl0_2 ),
    inference(rat,[],[s702,s132,s133]) ).

cnf(s802,plain,
    ( spl0_8
    | spl0_1 ),
    inference(rat,[],[s701,s715,s104,s105,s138,s10,s14,s165,s711,s799,s82,s83,s121,s754,s24,s606,s617,s44,s801,s657,s62,s108,s109,s66,s110,s111,s56,s35,s17,s782,s745,s785,s30,s781,s784,s798,s743]) ).

cnf(s803,plain,
    ( ~ spl0_50
    | ~ spl0_8 ),
    inference(rat,[],[s718,s104,s105,s138]) ).

cnf(s804,plain,
    ( ~ spl0_7
    | ~ spl0_47
    | spl0_1 ),
    inference(rat,[],[s59,s772,s790,s7,s758,s723,s82,s83,s121,s24,s763,s227,s798,s802,s140,s139,s745,s743]) ).

cnf(s805,plain,
    ( spl0_39
    | spl0_1 ),
    inference(rat,[],[s567,s70,s113,s31,s577,s2,s804,s797,s16,s793,s114,s115,s166,s165,s781,s784,s798,s803,s802,s743]) ).

cnf(s806,plain,
    ( ~ spl0_52
    | spl0_1 ),
    inference(rat,[],[s515,s64,s65,s31,s759,s754,s799,s798,s802,s578,s122,s781,s123,s805,s743]) ).

cnf(s807,plain,
    spl0_1,
    inference(rat,[],[s394,s2,s62,s108,s752,s162,s159,s806,s793,s16,s797,s31,s760,s759,s754,s578,s799,s122,s123,s805,s802,s798,s784,s781,s743]) ).

cnf(s808,plain,
    ( ~ spl0_2
    | spl0_8 ),
    inference(rat,[],[s650,s62,s108,s44,s56,s801,s782,s30,s807,s743]) ).

cnf(s809,plain,
    ( ~ spl0_30
    | spl0_58
    | ~ spl0_19
    | ~ spl0_16 ),
    inference(rat,[],[s790,s59,s14,s656,s657,s66,s111,s743]) ).

cnf(s810,plain,
    ( ~ spl0_24
    | spl0_17
    | spl0_8 ),
    inference(rat,[],[s760,s8,s159,s757,s790,s745,s30,s752,s3,s808,s743]) ).

cnf(s811,plain,
    ( spl0_39
    | spl0_8 ),
    inference(rat,[],[s732,s67,s68,s112,s60,s810,s809,s772,s4,s744,s25,s44,s653,s104,s138,s165,s745,s30,s752,s3,s808,s743,s807]) ).

cnf(s812,plain,
    spl0_8,
    inference(rat,[],[s659,s83,s121,s163,s773,s14,s277,s78,s80,s772,s755,s21,s4,s5,s572,s744,s147,s148,s13,s799,s811,s3,s808,s30,s743]) ).

cnf(s813,plain,
    ~ spl0_50,
    inference(rat,[],[s803,s812]) ).

cnf(s814,plain,
    ( ~ spl0_7
    | ~ spl0_47
    | spl0_5 ),
    inference(rat,[],[s59,s772,s790,s7,s758,s723,s82,s83,s121,s24,s763,s227,s140,s139,s745,s743,s812]) ).

cnf(s815,plain,
    ( spl0_39
    | spl0_5 ),
    inference(rat,[],[s394,s62,s108,s34,s790,s59,s463,s772,s7,s710,s98,s99,s100,s11,s432,s2,s814,s74,s117,s20,s226,s71,s114,s115,s745,s166,s165,s812,s743,s807,s813]) ).

cnf(s816,plain,
    ( ~ spl0_52
    | ~ spl0_18 ),
    inference(rat,[],[s515,s64,s65,s812]) ).

cnf(s817,plain,
    ( ~ spl0_18
    | ~ spl0_14 ),
    inference(rat,[],[s699,s655,s101,s102,s103,s40,s752,s159,s816,s759,s760,s743,s812]) ).

cnf(s818,plain,
    ( ~ spl0_7
    | spl0_5 ),
    inference(rat,[],[s572,s763,s148,s147,s13,s578,s31,s817,s759,s754,s122,s123,s799,s815,s812,s743]) ).

cnf(s819,plain,
    spl0_5,
    inference(rat,[],[s566,s96,s135,s38,s765,s2,s818,s578,s31,s817,s759,s754,s799,s122,s123,s815,s743,s812]) ).

cnf(s820,plain,
    ~ spl0_30,
    inference(rat,[],[s776,s819]) ).

cnf(s821,plain,
    ~ spl0_44,
    inference(rat,[],[s769,s812,s819]) ).

cnf(s822,plain,
    spl0_24,
    inference(rat,[],[s60,s820,s743,s821]) ).

cnf(s823,plain,
    ~ spl0_52,
    inference(rat,[],[s790,s822]) ).

cnf(s824,plain,
    ~ spl0_12,
    inference(rat,[],[s636,s74,s75,s117,s20,s32,s226,s737,s71,s114,s745,s106,s140,s166,s165,s799,s807,s743,s821,s819,s813]) ).

cnf(s825,plain,
    ( ~ spl0_7
    | ~ spl0_2 ),
    inference(rat,[],[s650,s62,s108,s55,s783,s760,s44,s17,s159,s786,s794,s752,s807,s743,s820,s823,s824,s812,s819]) ).

cnf(s826,plain,
    ( ~ spl0_16
    | ~ spl0_2 ),
    inference(rat,[],[s329,s113,s42,s9,s31,s578,s748,s797,s122,s123,s35,s44,s157,s165,s801,s782,s745,s825,s807,s812,s743,s821,s823,s813]) ).

cnf(s827,plain,
    ( ~ spl0_23
    | ~ spl0_10 ),
    inference(rat,[],[s740,s146,s147,s819,s812]) ).

cnf(s828,plain,
    ( ~ spl0_13
    | ~ spl0_2 ),
    inference(rat,[],[s737,s106,s140,s35,s827,s342,s42,s765,s5,s9,s124,s756,s797,s48,s155,s791,s825,s826,s819,s743,s812,s821,s824,s822,s823]) ).

cnf(s829,plain,
    ~ spl0_2,
    inference(rat,[],[s363,s102,s103,s9,s40,s817,s759,s32,s6,s828,s825,s812,s743,s821,s824]) ).

cnf(s831,plain,
    spl0_23,
    inference(rat,[],[s13,s824,s743,s829]) ).

cnf(s832,plain,
    ~ spl0_7,
    inference(rat,[],[s774,s824,s819,s829]) ).

cnf(s839,plain,
    ~ spl0_10,
    inference(rat,[],[s827,s831]) ).

cnf(s840,plain,
    spl0_22,
    inference(rat,[],[s12,s829,s743,s832]) ).

cnf(s841,plain,
    spl0_11,
    inference(rat,[],[s5,s824,s743,s839]) ).

cnf(s845,plain,
    $false,
    inference(rat,[],[s755,s822,s841,s840]) ).

fof(f3378,plain,
    $false,
    inference(avatar_sat_refutation,[],[s845]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN481-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n002.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 16:17:52 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23  Running first-order model finding
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.30  % (483857)Will run a generic schedule for satisfiability detection.
% 0.19/0.30  % (483866)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1325331414:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.30  % (483863)% WARNING: option uhcvi not known.
% 0.19/0.30  % (483865)dis+10_1_sil=32000:sp=arity:random_seed=885255165:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.30  % (483864)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1077058961:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.30  % (483862)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4241729894_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.30  % (483863)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1234960230:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.30  % (483867)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1358499576:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.30  % Detected minimum model sizes of [1]
% 0.19/0.30  % Detected maximum model sizes of [31]
% 0.19/0.30  % TRYING [1]
% 0.19/0.30  % TRYING [2]
% 0.19/0.30  % (483868)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2515494426:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.30  % TRYING [3]
% 0.19/0.30  % (483866) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-483857-483866"...
% 0.19/0.30  % TRYING [4]
% 0.19/0.30  % (483866)...printing done.
% 0.19/0.30  % (483866)Refutation found. Thanks to Tanya!
% 0.19/0.30  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.31  % (483866)------------------------------
% 0.19/0.31  % (483866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31  % (483866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31  % (483866)CaDiCaL version: 2.1.3
% 0.19/0.31  % (483866)Termination reason: Refutation
% 0.19/0.31  % (483866)Time elapsed: 0.030 s
% 0.19/0.31  % (483866)Peak memory usage: 13 MB
% 0.19/0.31  % (483866)Instructions burned: 79 (million)
% 0.19/0.31  % (483857)Success in time 0.058 s
% 0.19/0.31  % Vampire exiting
%------------------------------------------------------------------------------