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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN485-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:57:10 PM UTC 2026

% Result   : Unsatisfiable 1.77s 0.70s
% Output   : Refutation 2.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :  214
% Syntax   : Number of formulae    :  797 (  23 unt; 114 def)
%            Number of atoms       : 2505 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3121 (1413   ~;1594   |;   0   &)
%                                         ( 114 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  142 ( 141 usr; 138 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  111 (   0 sgn 111   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp17
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ( ~ hskp29
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f26,negated_conjecture,
    ( ~ hskp5
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).

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

fof(f32,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f34,negated_conjecture,
    ( hskp17
    | hskp23
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f37,negated_conjecture,
    ( hskp29
    | hskp5
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f39,negated_conjecture,
    ( hskp12
    | hskp25
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp29
    | c1_1(a2077) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp29
    | c2_1(a2077) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp29
    | c3_1(a2077) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp28
    | c0_1(a2075) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp28
    | c1_1(a2075) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp28
    | c2_1(a2075) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp27
    | c0_1(a2073) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp27
    | c1_1(a2073) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp27
    | c3_1(a2073) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp26
    | c0_1(a2069) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp26
    | c2_1(a2069) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp26
    | c3_1(a2069) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp25
    | c1_1(a2172) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f55,negated_conjecture,
    ( ~ hskp23
    | c0_1(a2149) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f57,negated_conjecture,
    ( ~ hskp22
    | c2_1(a2140) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp22
    | c3_1(a2140) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f62,negated_conjecture,
    ( ~ hskp18
    | c1_1(a2116) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp17
    | c0_1(a2110) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp17
    | c2_1(a2110) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f68,negated_conjecture,
    ( ~ hskp12
    | c1_1(a2095) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp11
    | c0_1(a2093) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp10
    | c2_1(a2087) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp9
    | c2_1(a2084) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp9
    | c3_1(a2084) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp8
    | c1_1(a2082) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp8
    | c2_1(a2082) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp7
    | c0_1(a2079) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp7
    | c1_1(a2079) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f78,negated_conjecture,
    ( ~ hskp5
    | c1_1(a2076) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp5
    | c3_1(a2076) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp4
    | c1_1(a2074) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp4
    | c3_1(a2074) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp2
    | c0_1(a2071) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp2
    | c2_1(a2071) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp1
    | c0_1(a2070) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp1
    | c3_1(a2070) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp0
    | c3_1(a2068) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ c0_1(a2172)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c3_1(a2172)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f90,negated_conjecture,
    ( ~ c1_1(a2149)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ c0_1(a2140)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f93,negated_conjecture,
    ( ~ c1_1(a2130)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f95,negated_conjecture,
    ( ~ c3_1(a2130)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f98,negated_conjecture,
    ( ~ c2_1(a2116)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c3_1(a2116)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c1_1(a2110)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f111,negated_conjecture,
    ( ~ c2_1(a2095)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c1_1(a2093)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c3_1(a2093)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c1_1(a2087)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c3_1(a2087)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f117,negated_conjecture,
    ( ~ c0_1(a2082)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f121,negated_conjecture,
    ( ~ c0_1(a2076)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c2_1(a2074)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c0_1(a2072)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f125,negated_conjecture,
    ( ~ c3_1(a2072)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c3_1(a2071)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c2_1(a2070)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c0_1(a2068)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c2_1(a2068)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp5
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp27
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp1
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp28
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp27
      | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp11
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp26
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp11
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp17
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp17
      | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f155,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

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

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f188,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

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

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

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

fof(f195,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/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)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f198,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f199,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f201,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f202,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f204,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f208,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f209,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f210,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f196,f208,f204,f201,f198]) ).

fof(f212,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f213,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f215,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f216,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f218,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f219,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f220,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f195,f218,f204,f215,f212]) ).

fof(f222,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f223,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f225,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f226,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f228,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f229,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f230,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f194,f228,f204,f225,f222]) ).

fof(f235,definition,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f236,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f242,definition,
    ( spl0_14
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f243,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f245,definition,
    ( spl0_15
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f246,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f248,definition,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f249,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f250,plain,
    ( spl0_14
    | spl0_15
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f192,f248,f204,f245,f242]) ).

fof(f252,definition,
    ( spl0_17
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f253,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f255,definition,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f256,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f259,definition,
    ( spl0_19
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f260,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f262,definition,
    ( spl0_20
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f263,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f264,plain,
    ( spl0_19
    | spl0_20
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f190,f228,f204,f262,f259]) ).

fof(f266,definition,
    ( spl0_21
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f270,definition,
    ( spl0_22
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f271,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f274,definition,
    ( spl0_23
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f277,plain,
    ( spl0_23
    | spl0_12
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f188,f270,f204,f235,f274]) ).

fof(f285,definition,
    ( spl0_26
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f286,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f289,definition,
    ( spl0_27
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f297,definition,
    ( spl0_29
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f305,definition,
    ( spl0_31
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f308,plain,
    ( spl0_31
    | spl0_7
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f184,f228,f204,f218,f305]) ).

fof(f310,definition,
    ( spl0_32
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f318,definition,
    ( spl0_34
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f321,plain,
    ( spl0_34
    | spl0_15
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f182,f225,f204,f245,f318]) ).

fof(f323,definition,
    ( spl0_35
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f334,definition,
    ( spl0_38
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f335,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f336,plain,
    ( spl0_23
    | spl0_38
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f180,f208,f204,f334,f274]) ).

fof(f338,definition,
    ( spl0_39
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f341,plain,
    ( spl0_39
    | spl0_12
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f179,f245,f204,f235,f338]) ).

fof(f343,plain,
    ( spl0_27
    | spl0_18
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f177,f208,f204,f255,f289]) ).

fof(f345,definition,
    ( spl0_40
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f348,plain,
    ( spl0_40
    | spl0_17
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f176,f208,f204,f252,f345]) ).

fof(f350,definition,
    ( spl0_41
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f354,plain,
    ( spl0_35
    | spl0_6
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f174,f248,f204,f215,f323]) ).

fof(f356,definition,
    ( spl0_42
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f360,plain,
    ( spl0_34
    | spl0_1
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f172,f228,f204,f198,f318]) ).

fof(f361,plain,
    ( spl0_23
    | spl0_1
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f171,f245,f204,f198,f274]) ).

fof(f374,definition,
    ( spl0_45
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f375,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f376,plain,
    ( spl0_32
    | spl0_45
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f167,f262,f204,f374,f310]) ).

fof(f379,definition,
    ( spl0_46
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f382,plain,
    ( spl0_46
    | spl0_8
    | ~ spl0_3
    | spl0_45 ),
    inference(avatar_split_clause,[],[f165,f374,f204,f222,f379]) ).

fof(f384,definition,
    ( spl0_47
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f387,plain,
    ( spl0_47
    | spl0_26
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f164,f225,f204,f285,f384]) ).

fof(f390,definition,
    ( spl0_48
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f393,plain,
    ( spl0_48
    | spl0_26
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f162,f215,f204,f285,f390]) ).

fof(f400,definition,
    ( spl0_50
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f405,definition,
    ( spl0_51
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f416,plain,
    ( spl0_35
    | spl0_26
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f155,f262,f204,f285,f323]) ).

fof(f423,definition,
    ( spl0_54
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f426,plain,
    ( spl0_54
    | spl0_42
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f152,f201,f204,f356,f423]) ).

fof(f429,plain,
    ( spl0_21
    | spl0_42
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f149,f218,f204,f356,f266]) ).

fof(f436,plain,
    ( spl0_40
    | spl0_32
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f146,f215,f204,f310,f345]) ).

fof(f437,plain,
    ( spl0_31
    | spl0_23
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f145,f215,f204,f274,f305]) ).

fof(f438,plain,
    ( spl0_51
    | spl0_32
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f144,f235,f204,f310,f405]) ).

fof(f439,plain,
    ( spl0_50
    | spl0_39
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f143,f235,f204,f338,f400]) ).

fof(f441,definition,
    ( spl0_56
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f444,plain,
    ( spl0_27
    | spl0_56
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f142,f212,f204,f441,f289]) ).

fof(f445,plain,
    ( spl0_54
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f141,f218,f204,f423]) ).

fof(f451,plain,
    ( spl0_35
    | spl0_46
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f139,f198,f204,f379,f323]) ).

fof(f453,definition,
    ( spl0_58
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f457,plain,
    ( spl0_51
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f137,f212,f204,f405]) ).

fof(f463,plain,
    ( spl0_41
    | spl0_39
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f135,f252,f204,f338,f350]) ).

fof(f465,plain,
    ( spl0_27
    | spl0_31
    | spl0_19
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f133,f204,f259,f305,f289]) ).

fof(f470,definition,
    ( spl0_60
  <=> c2_1(a2068) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f472,plain,
    ( ~ c2_1(a2068)
    | spl0_60 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f473,plain,
    ( ~ spl0_51
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f129,f470,f405]) ).

fof(f475,definition,
    ( spl0_61
  <=> c0_1(a2068) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f477,plain,
    ( ~ c0_1(a2068)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f478,plain,
    ( ~ spl0_51
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f128,f475,f405]) ).

fof(f480,definition,
    ( spl0_62
  <=> c2_1(a2070) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f482,plain,
    ( ~ c2_1(a2070)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f483,plain,
    ( ~ spl0_46
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f127,f480,f379]) ).

fof(f485,definition,
    ( spl0_63
  <=> c3_1(a2071) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f487,plain,
    ( ~ c3_1(a2071)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f488,plain,
    ( ~ spl0_48
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f126,f485,f390]) ).

fof(f490,definition,
    ( spl0_64
  <=> c3_1(a2072) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f492,plain,
    ( ~ c3_1(a2072)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f493,plain,
    ( ~ spl0_34
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f125,f490,f318]) ).

fof(f500,definition,
    ( spl0_66
  <=> c0_1(a2072) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f502,plain,
    ( ~ c0_1(a2072)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f503,plain,
    ( ~ spl0_34
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f123,f500,f318]) ).

fof(f505,definition,
    ( spl0_67
  <=> c2_1(a2074) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f508,plain,
    ( ~ spl0_27
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f122,f505,f289]) ).

fof(f510,definition,
    ( spl0_68
  <=> c0_1(a2076) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f512,plain,
    ( ~ c0_1(a2076)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f513,plain,
    ( ~ spl0_31
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f121,f510,f305]) ).

fof(f530,definition,
    ( spl0_72
  <=> c0_1(a2082) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f532,plain,
    ( ~ c0_1(a2082)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f533,plain,
    ( ~ spl0_35
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f117,f530,f323]) ).

fof(f540,definition,
    ( spl0_74
  <=> c3_1(a2087) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f542,plain,
    ( ~ c3_1(a2087)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f543,plain,
    ( ~ spl0_40
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f115,f540,f345]) ).

fof(f545,definition,
    ( spl0_75
  <=> c1_1(a2087) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f547,plain,
    ( ~ c1_1(a2087)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f548,plain,
    ( ~ spl0_40
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f114,f545,f345]) ).

fof(f550,definition,
    ( spl0_76
  <=> c3_1(a2093) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f553,plain,
    ( ~ spl0_32
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f113,f550,f310]) ).

fof(f555,definition,
    ( spl0_77
  <=> c1_1(a2093) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f557,plain,
    ( ~ c1_1(a2093)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f558,plain,
    ( ~ spl0_32
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f112,f555,f310]) ).

fof(f560,definition,
    ( spl0_78
  <=> c2_1(a2095) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f562,plain,
    ( ~ c2_1(a2095)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f563,plain,
    ( ~ spl0_29
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f111,f560,f297]) ).

fof(f615,definition,
    ( spl0_89
  <=> c1_1(a2110) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f617,plain,
    ( ~ c1_1(a2110)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f618,plain,
    ( ~ spl0_42
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f100,f615,f356]) ).

fof(f620,definition,
    ( spl0_90
  <=> c3_1(a2116) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f622,plain,
    ( ~ c3_1(a2116)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f623,plain,
    ( ~ spl0_58
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f99,f620,f453]) ).

fof(f625,definition,
    ( spl0_91
  <=> c2_1(a2116) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f627,plain,
    ( ~ c2_1(a2116)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f628,plain,
    ( ~ spl0_58
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f98,f625,f453]) ).

fof(f640,definition,
    ( spl0_94
  <=> c3_1(a2130) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f642,plain,
    ( ~ c3_1(a2130)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f643,plain,
    ( ~ spl0_21
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f95,f640,f266]) ).

fof(f650,definition,
    ( spl0_96
  <=> c1_1(a2130) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f652,plain,
    ( ~ c1_1(a2130)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f653,plain,
    ( ~ spl0_21
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f93,f650,f266]) ).

fof(f660,definition,
    ( spl0_98
  <=> c0_1(a2140) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f662,plain,
    ( ~ c0_1(a2140)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f663,plain,
    ( ~ spl0_54
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f91,f660,f423]) ).

fof(f665,definition,
    ( spl0_99
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f669,definition,
    ( spl0_100
  <=> c1_1(a2149) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f671,plain,
    ( ~ c1_1(a2149)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f672,plain,
    ( ~ spl0_99
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f90,f669,f665]) ).

fof(f683,definition,
    ( spl0_103
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f687,definition,
    ( spl0_104
  <=> c3_1(a2172) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f690,plain,
    ( ~ spl0_103
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f88,f687,f683]) ).

fof(f692,definition,
    ( spl0_105
  <=> c0_1(a2172) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f695,plain,
    ( ~ spl0_103
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f87,f692,f683]) ).

fof(f697,definition,
    ( spl0_106
  <=> c3_1(a2068) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f699,plain,
    ( c3_1(a2068)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f700,plain,
    ( spl0_106
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f86,f405,f697]) ).

fof(f702,definition,
    ( spl0_107
  <=> c3_1(a2070) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f704,plain,
    ( c3_1(a2070)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f705,plain,
    ( spl0_107
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f85,f379,f702]) ).

fof(f707,definition,
    ( spl0_108
  <=> c0_1(a2070) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f709,plain,
    ( c0_1(a2070)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f710,plain,
    ( spl0_108
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f84,f379,f707]) ).

fof(f712,definition,
    ( spl0_109
  <=> c2_1(a2071) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f714,plain,
    ( c2_1(a2071)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f715,plain,
    ( spl0_109
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f83,f390,f712]) ).

fof(f717,definition,
    ( spl0_110
  <=> c0_1(a2071) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f719,plain,
    ( c0_1(a2071)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f720,plain,
    ( spl0_110
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f82,f390,f717]) ).

fof(f722,definition,
    ( spl0_111
  <=> c3_1(a2074) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f724,plain,
    ( c3_1(a2074)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f725,plain,
    ( spl0_111
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f81,f289,f722]) ).

fof(f727,definition,
    ( spl0_112
  <=> c1_1(a2074) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f729,plain,
    ( c1_1(a2074)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f730,plain,
    ( spl0_112
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f80,f289,f727]) ).

fof(f732,definition,
    ( spl0_113
  <=> c3_1(a2076) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f734,plain,
    ( c3_1(a2076)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f735,plain,
    ( spl0_113
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f79,f305,f732]) ).

fof(f737,definition,
    ( spl0_114
  <=> c1_1(a2076) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f739,plain,
    ( c1_1(a2076)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f740,plain,
    ( spl0_114
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f78,f305,f737]) ).

fof(f747,definition,
    ( spl0_116
  <=> c1_1(a2079) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f750,plain,
    ( spl0_116
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f76,f350,f747]) ).

fof(f752,definition,
    ( spl0_117
  <=> c0_1(a2079) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f754,plain,
    ( c0_1(a2079)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f755,plain,
    ( spl0_117
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f75,f350,f752]) ).

fof(f757,definition,
    ( spl0_118
  <=> c2_1(a2082) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f759,plain,
    ( c2_1(a2082)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f760,plain,
    ( spl0_118
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f74,f323,f757]) ).

fof(f762,definition,
    ( spl0_119
  <=> c1_1(a2082) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f764,plain,
    ( c1_1(a2082)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f765,plain,
    ( spl0_119
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f73,f323,f762]) ).

fof(f767,definition,
    ( spl0_120
  <=> c3_1(a2084) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f769,plain,
    ( c3_1(a2084)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f770,plain,
    ( spl0_120
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f72,f384,f767]) ).

fof(f772,definition,
    ( spl0_121
  <=> c2_1(a2084) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f774,plain,
    ( c2_1(a2084)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f775,plain,
    ( spl0_121
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f71,f384,f772]) ).

fof(f777,definition,
    ( spl0_122
  <=> c2_1(a2087) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f780,plain,
    ( spl0_122
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f70,f345,f777]) ).

fof(f782,definition,
    ( spl0_123
  <=> c0_1(a2093) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f785,plain,
    ( spl0_123
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f69,f310,f782]) ).

fof(f787,definition,
    ( spl0_124
  <=> c1_1(a2095) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f789,plain,
    ( c1_1(a2095)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f790,plain,
    ( spl0_124
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f68,f297,f787]) ).

fof(f807,definition,
    ( spl0_128
  <=> c2_1(a2110) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f809,plain,
    ( c2_1(a2110)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f810,plain,
    ( spl0_128
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f64,f356,f807]) ).

fof(f812,definition,
    ( spl0_129
  <=> c0_1(a2110) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f814,plain,
    ( c0_1(a2110)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f815,plain,
    ( spl0_129
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f63,f356,f812]) ).

fof(f817,definition,
    ( spl0_130
  <=> c1_1(a2116) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f819,plain,
    ( c1_1(a2116)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f820,plain,
    ( spl0_130
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f62,f453,f817]) ).

fof(f837,definition,
    ( spl0_134
  <=> c3_1(a2140) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f839,plain,
    ( c3_1(a2140)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f840,plain,
    ( spl0_134
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f58,f423,f837]) ).

fof(f842,definition,
    ( spl0_135
  <=> c2_1(a2140) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f845,plain,
    ( spl0_135
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f57,f423,f842]) ).

fof(f852,definition,
    ( spl0_137
  <=> c0_1(a2149) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f854,plain,
    ( c0_1(a2149)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f855,plain,
    ( spl0_137
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f55,f665,f852]) ).

fof(f867,definition,
    ( spl0_140
  <=> c1_1(a2172) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f869,plain,
    ( c1_1(a2172)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f870,plain,
    ( spl0_140
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f52,f683,f867]) ).

fof(f872,definition,
    ( spl0_141
  <=> c3_1(a2069) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f874,plain,
    ( c3_1(a2069)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f875,plain,
    ( spl0_141
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f51,f274,f872]) ).

fof(f877,definition,
    ( spl0_142
  <=> c2_1(a2069) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f879,plain,
    ( c2_1(a2069)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f880,plain,
    ( spl0_142
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f50,f274,f877]) ).

fof(f882,definition,
    ( spl0_143
  <=> c0_1(a2069) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f884,plain,
    ( c0_1(a2069)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f885,plain,
    ( spl0_143
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f49,f274,f882]) ).

fof(f887,definition,
    ( spl0_144
  <=> c3_1(a2073) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f889,plain,
    ( c3_1(a2073)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f890,plain,
    ( spl0_144
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f48,f338,f887]) ).

fof(f892,definition,
    ( spl0_145
  <=> c1_1(a2073) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f894,plain,
    ( c1_1(a2073)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f895,plain,
    ( spl0_145
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f47,f338,f892]) ).

fof(f897,definition,
    ( spl0_146
  <=> c0_1(a2073) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f899,plain,
    ( c0_1(a2073)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f900,plain,
    ( spl0_146
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f46,f338,f897]) ).

fof(f902,definition,
    ( spl0_147
  <=> c2_1(a2075) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f904,plain,
    ( c2_1(a2075)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f905,plain,
    ( spl0_147
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f45,f441,f902]) ).

fof(f907,definition,
    ( spl0_148
  <=> c1_1(a2075) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f909,plain,
    ( c1_1(a2075)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f910,plain,
    ( spl0_148
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f44,f441,f907]) ).

fof(f912,definition,
    ( spl0_149
  <=> c0_1(a2075) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f914,plain,
    ( c0_1(a2075)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f915,plain,
    ( spl0_149
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f43,f441,f912]) ).

fof(f917,definition,
    ( spl0_150
  <=> c3_1(a2077) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f919,plain,
    ( c3_1(a2077)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f920,plain,
    ( spl0_150
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f42,f400,f917]) ).

fof(f922,definition,
    ( spl0_151
  <=> c2_1(a2077) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f924,plain,
    ( c2_1(a2077)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f925,plain,
    ( spl0_151
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f41,f400,f922]) ).

fof(f927,definition,
    ( spl0_152
  <=> c1_1(a2077) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f929,plain,
    ( c1_1(a2077)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f930,plain,
    ( spl0_152
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f40,f400,f927]) ).

fof(f931,plain,
    ( spl0_58
    | spl0_103
    | spl0_29 ),
    inference(avatar_split_clause,[],[f39,f297,f683,f453]) ).

fof(f933,plain,
    ( spl0_34
    | spl0_31
    | spl0_50 ),
    inference(avatar_split_clause,[],[f37,f400,f305,f318]) ).

fof(f936,plain,
    ( spl0_46
    | spl0_99
    | spl0_42 ),
    inference(avatar_split_clause,[],[f34,f356,f665,f379]) ).

fof(f938,plain,
    ( spl0_31
    | spl0_99
    | spl0_39 ),
    inference(avatar_split_clause,[],[f32,f338,f665,f305]) ).

fof(f942,plain,
    ( spl0_3
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f28,f318,f204]) ).

fof(f944,plain,
    ( spl0_3
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f26,f305,f204]) ).

fof(f968,plain,
    ( spl0_3
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f2,f400,f204]) ).

fof(f969,plain,
    ( spl0_48
    | spl0_42 ),
    inference(avatar_split_clause,[],[f1,f356,f390]) ).

fof(f980,plain,
    ( ~ c0_1(a2074)
    | ~ c1_1(a2074)
    | ~ spl0_2
    | ~ spl0_111 ),
    inference(resolution,[],[f724,f202]) ).

fof(f982,definition,
    ( spl0_153
  <=> c0_1(a2074) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f984,plain,
    ( ~ c0_1(a2074)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f986,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f216,f202]) ).

fof(f990,plain,
    ( ~ c3_1(a2070)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_108 ),
    inference(resolution,[],[f986,f709]) ).

fof(f991,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f990,f704]) ).

fof(f992,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f991]) ).

fof(f999,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f226,f209]) ).

fof(f1002,plain,
    ( ~ c0_1(a2070)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_107 ),
    inference(resolution,[],[f999,f704]) ).

fof(f1004,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f1002,f709]) ).

fof(f1005,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f1004]) ).

fof(f1006,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f286,f219]) ).

fof(f1007,plain,
    ( c2_1(a2095)
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_124 ),
    inference(resolution,[],[f1006,f789]) ).

fof(f1009,plain,
    ( c2_1(a2076)
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_114 ),
    inference(resolution,[],[f1006,f739]) ).

fof(f1010,plain,
    ( c2_1(a2074)
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_112 ),
    inference(resolution,[],[f1006,f729]) ).

fof(f1016,plain,
    ( ~ c3_1(a2084)
    | ~ c0_1(a2084)
    | ~ spl0_4
    | ~ spl0_121 ),
    inference(resolution,[],[f774,f209]) ).

fof(f1017,plain,
    ( ~ c0_1(a2084)
    | ~ spl0_4
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f1016,f769]) ).

fof(f1027,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_7
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f335,f219]) ).

fof(f1032,plain,
    ( c2_1(a2070)
    | ~ spl0_7
    | ~ spl0_38
    | ~ spl0_108 ),
    inference(resolution,[],[f1027,f709]) ).

fof(f1033,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_38
    | spl0_62
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f1032,f482]) ).

fof(f1034,plain,
    ( ~ spl0_7
    | ~ spl0_38
    | spl0_62
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f1033]) ).

fof(f1040,definition,
    ( spl0_154
  <=> c1_1(a2070) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1041,plain,
    ( c1_1(a2070)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1078,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f271,f219]) ).

fof(f1079,plain,
    ( ~ c0_1(a2073)
    | ~ c1_1(a2073)
    | ~ spl0_2
    | ~ spl0_144 ),
    inference(resolution,[],[f889,f202]) ).

fof(f1080,plain,
    ( ~ spl0_145
    | ~ spl0_146
    | ~ spl0_2
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1079,f887,f201,f897,f892]) ).

fof(f1084,definition,
    ( spl0_155
  <=> c0_1(a2077) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1086,plain,
    ( ~ c0_1(a2077)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1084]) ).

fof(f1109,plain,
    ( ~ c1_1(a2079)
    | ~ spl0_7
    | ~ spl0_22
    | ~ spl0_117 ),
    inference(resolution,[],[f1078,f754]) ).

fof(f1116,plain,
    ( c0_1(a2084)
    | ~ c2_1(a2084)
    | ~ spl0_12
    | ~ spl0_120 ),
    inference(resolution,[],[f236,f769]) ).

fof(f1117,plain,
    ( c0_1(a2076)
    | ~ c2_1(a2076)
    | ~ spl0_12
    | ~ spl0_113 ),
    inference(resolution,[],[f236,f734]) ).

fof(f1122,plain,
    ( ~ c2_1(a2076)
    | ~ spl0_12
    | spl0_68
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f1117,f512]) ).

fof(f1123,plain,
    ( c0_1(a2084)
    | ~ spl0_12
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f1116,f774]) ).

fof(f1139,plain,
    ( c1_1(a2068)
    | c0_1(a2068)
    | ~ spl0_14
    | ~ spl0_106 ),
    inference(resolution,[],[f243,f699]) ).

fof(f1161,plain,
    ( ~ spl0_116
    | ~ spl0_7
    | ~ spl0_22
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1109,f752,f270,f218,f747]) ).

fof(f1179,definition,
    ( spl0_156
  <=> c1_1(a2069) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1181,plain,
    ( ~ c1_1(a2069)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f1179]) ).

fof(f1210,plain,
    ( c2_1(a2070)
    | ~ c0_1(a2070)
    | ~ spl0_7
    | ~ spl0_154 ),
    inference(resolution,[],[f1041,f219]) ).

fof(f1269,plain,
    ( c0_1(a2077)
    | ~ c2_1(a2077)
    | ~ spl0_45
    | ~ spl0_152 ),
    inference(resolution,[],[f375,f929]) ).

fof(f1272,plain,
    ( c0_1(a2082)
    | ~ c2_1(a2082)
    | ~ spl0_45
    | ~ spl0_119 ),
    inference(resolution,[],[f375,f764]) ).

fof(f1275,plain,
    ( c0_1(a2076)
    | ~ c2_1(a2076)
    | ~ spl0_45
    | ~ spl0_114 ),
    inference(resolution,[],[f375,f739]) ).

fof(f1280,plain,
    ( ~ c2_1(a2082)
    | ~ spl0_45
    | spl0_72
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f1272,f532]) ).

fof(f1283,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f223,f236]) ).

fof(f1290,plain,
    ( ~ c2_1(a2082)
    | ~ spl0_8
    | ~ spl0_12
    | spl0_72 ),
    inference(resolution,[],[f1283,f532]) ).

fof(f1298,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_12
    | spl0_72
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f1290,f759]) ).

fof(f1299,plain,
    ( ~ spl0_8
    | ~ spl0_12
    | spl0_72
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f1298]) ).

fof(f1305,plain,
    ( spl0_78
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1007,f787,f285,f218,f560]) ).

fof(f1306,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_26
    | spl0_68
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1009,f1122]) ).

fof(f1307,plain,
    ( ~ spl0_7
    | ~ spl0_12
    | ~ spl0_26
    | spl0_68
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f1306]) ).

fof(f1308,plain,
    ( spl0_67
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1010,f727,f285,f218,f505]) ).

fof(f1312,plain,
    ( ~ spl0_118
    | ~ spl0_45
    | spl0_72
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1280,f762,f530,f374,f757]) ).

fof(f1327,definition,
    ( spl0_158
  <=> c2_1(a2076) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1328,plain,
    ( c2_1(a2076)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1327]) ).

fof(f1331,plain,
    ( spl0_158
    | ~ spl0_7
    | ~ spl0_26
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1009,f737,f285,f218,f1327]) ).

fof(f1347,plain,
    ( c0_1(a2140)
    | ~ c2_1(a2140)
    | ~ spl0_12
    | ~ spl0_134 ),
    inference(resolution,[],[f839,f236]) ).

fof(f1348,plain,
    ( ~ c2_1(a2140)
    | ~ spl0_12
    | spl0_98
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f1347,f662]) ).

fof(f1350,plain,
    ( ~ spl0_135
    | ~ spl0_12
    | spl0_98
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1348,f837,f660,f235,f842]) ).

fof(f1355,plain,
    ( c3_1(a2172)
    | c0_1(a2172)
    | ~ spl0_18
    | ~ spl0_140 ),
    inference(resolution,[],[f869,f256]) ).

fof(f1395,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f213,f243]) ).

fof(f1399,plain,
    ( c1_1(a2068)
    | ~ spl0_14
    | spl0_61
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[],[f1139,f477]) ).

fof(f1485,definition,
    ( spl0_160
  <=> c0_1(a2084) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1495,plain,
    ( ~ spl0_160
    | ~ spl0_4
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1017,f772,f767,f208,f1485]) ).

fof(f1540,plain,
    ( c3_1(a2093)
    | ~ c0_1(a2093)
    | ~ spl0_1
    | spl0_77 ),
    inference(resolution,[],[f199,f557]) ).

fof(f1573,plain,
    ( c0_1(a2077)
    | ~ c1_1(a2077)
    | ~ spl0_5
    | ~ spl0_150 ),
    inference(resolution,[],[f213,f919]) ).

fof(f1579,plain,
    ( c0_1(a2076)
    | ~ c1_1(a2076)
    | ~ spl0_5
    | ~ spl0_113 ),
    inference(resolution,[],[f213,f734]) ).

fof(f1580,plain,
    ( c0_1(a2074)
    | ~ c1_1(a2074)
    | ~ spl0_5
    | ~ spl0_111 ),
    inference(resolution,[],[f213,f724]) ).

fof(f1587,plain,
    ( ~ c1_1(a2074)
    | ~ spl0_5
    | ~ spl0_111
    | spl0_153 ),
    inference(forward_subsumption_resolution,[],[f1580,f984]) ).

fof(f1588,plain,
    ( ~ c1_1(a2076)
    | ~ spl0_5
    | spl0_68
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f1579,f512]) ).

fof(f1590,plain,
    ( ~ c1_1(a2077)
    | ~ spl0_5
    | ~ spl0_150
    | spl0_155 ),
    inference(forward_subsumption_resolution,[],[f1573,f1086]) ).

fof(f1593,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_111
    | ~ spl0_112
    | spl0_153 ),
    inference(forward_subsumption_resolution,[],[f1587,f729]) ).

fof(f1594,plain,
    ( ~ spl0_5
    | ~ spl0_111
    | ~ spl0_112
    | spl0_153 ),
    inference(avatar_contradiction_clause,[],[f1593]) ).

fof(f1595,plain,
    ( $false
    | ~ spl0_5
    | spl0_68
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1588,f739]) ).

fof(f1596,plain,
    ( ~ spl0_5
    | spl0_68
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f1595]) ).

fof(f1597,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_150
    | ~ spl0_152
    | spl0_155 ),
    inference(forward_subsumption_resolution,[],[f1590,f929]) ).

fof(f1598,plain,
    ( ~ spl0_5
    | ~ spl0_150
    | ~ spl0_152
    | spl0_155 ),
    inference(avatar_contradiction_clause,[],[f1597]) ).

fof(f1599,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f216,f199]) ).

fof(f1603,plain,
    ( c1_1(a2110)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_129 ),
    inference(resolution,[],[f1599,f814]) ).

fof(f1608,plain,
    ( c1_1(a2071)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_110 ),
    inference(resolution,[],[f1599,f719]) ).

fof(f1613,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | spl0_89
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f1603,f617]) ).

fof(f1614,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | spl0_89
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1613]) ).

fof(f1701,plain,
    ( ~ spl0_123
    | spl0_76
    | ~ spl0_1
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1540,f555,f198,f550,f782]) ).

fof(f1712,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_15
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f263,f246]) ).

fof(f1715,plain,
    ( ~ c2_1(a2110)
    | ~ spl0_15
    | ~ spl0_20
    | spl0_89 ),
    inference(resolution,[],[f1712,f617]) ).

fof(f1729,definition,
    ( spl0_162
  <=> c3_1(a2082) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1736,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f260,f223]) ).

fof(f1741,plain,
    ( c0_1(a2076)
    | ~ spl0_45
    | ~ spl0_114
    | ~ spl0_158 ),
    inference(forward_subsumption_resolution,[],[f1275,f1328]) ).

fof(f1758,plain,
    ( spl0_68
    | ~ spl0_45
    | ~ spl0_114
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1741,f1327,f737,f374,f510]) ).

fof(f1761,plain,
    ( c0_1(a2077)
    | ~ spl0_45
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(forward_subsumption_resolution,[],[f1269,f924]) ).

fof(f1763,plain,
    ( spl0_155
    | ~ spl0_45
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1761,f927,f922,f374,f1084]) ).

fof(f1767,plain,
    ( c3_1(a2116)
    | ~ c1_1(a2116)
    | ~ spl0_16
    | spl0_91 ),
    inference(resolution,[],[f627,f249]) ).

fof(f1768,plain,
    ( ~ c1_1(a2116)
    | ~ spl0_16
    | spl0_90
    | spl0_91 ),
    inference(forward_subsumption_resolution,[],[f1767,f622]) ).

fof(f1769,plain,
    ( $false
    | ~ spl0_16
    | spl0_90
    | spl0_91
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f1768,f819]) ).

fof(f1770,plain,
    ( ~ spl0_16
    | spl0_90
    | spl0_91
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1769]) ).

fof(f1781,definition,
    ( spl0_166
  <=> c3_1(a2110) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1786,plain,
    ( spl0_105
    | spl0_104
    | ~ spl0_18
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1355,f867,f255,f687,f692]) ).

fof(f1806,plain,
    ( ~ c0_1(a2074)
    | ~ spl0_2
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f980,f729]) ).

fof(f1817,plain,
    ( ~ spl0_153
    | ~ spl0_2
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1806,f727,f722,f201,f982]) ).

fof(f1877,plain,
    ( ~ c2_1(a2069)
    | ~ c3_1(a2069)
    | ~ spl0_15
    | spl0_156 ),
    inference(resolution,[],[f1181,f246]) ).

fof(f1890,definition,
    ( spl0_168
  <=> c0_1(a2130) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1898,plain,
    ( c3_1(a2110)
    | ~ c0_1(a2110)
    | ~ spl0_1
    | spl0_89 ),
    inference(resolution,[],[f199,f617]) ).

fof(f1903,plain,
    ( c3_1(a2130)
    | ~ c0_1(a2130)
    | ~ spl0_1
    | spl0_96 ),
    inference(resolution,[],[f199,f652]) ).

fof(f1906,plain,
    ( ~ c0_1(a2130)
    | ~ spl0_1
    | spl0_94
    | spl0_96 ),
    inference(forward_subsumption_resolution,[],[f1903,f642]) ).

fof(f1910,plain,
    ( ~ spl0_168
    | ~ spl0_1
    | spl0_94
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1906,f650,f640,f198,f1890]) ).

fof(f1921,plain,
    ( c2_1(a2076)
    | ~ c3_1(a2076)
    | ~ spl0_10
    | ~ spl0_114 ),
    inference(resolution,[],[f229,f739]) ).

fof(f1922,plain,
    ( c2_1(a2074)
    | ~ c3_1(a2074)
    | ~ spl0_10
    | ~ spl0_112 ),
    inference(resolution,[],[f229,f729]) ).

fof(f1923,plain,
    ( c2_1(a2070)
    | ~ c3_1(a2070)
    | ~ spl0_10
    | ~ spl0_154 ),
    inference(resolution,[],[f229,f1041]) ).

fof(f1924,plain,
    ( ~ c3_1(a2070)
    | ~ spl0_10
    | spl0_62
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f1923,f482]) ).

fof(f1926,plain,
    ( $false
    | ~ spl0_10
    | spl0_62
    | ~ spl0_107
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f1924,f704]) ).

fof(f1927,plain,
    ( ~ spl0_10
    | spl0_62
    | ~ spl0_107
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f1926]) ).

fof(f1953,plain,
    ( c3_1(a2082)
    | c0_1(a2082)
    | ~ spl0_18
    | ~ spl0_119 ),
    inference(resolution,[],[f256,f764]) ).

fof(f1970,plain,
    ( ~ c2_1(a2087)
    | c1_1(a2087)
    | ~ spl0_20
    | spl0_74 ),
    inference(resolution,[],[f263,f542]) ).

fof(f1972,plain,
    ( ~ c2_1(a2071)
    | c1_1(a2071)
    | ~ spl0_20
    | spl0_63 ),
    inference(resolution,[],[f263,f487]) ).

fof(f1977,plain,
    ( c1_1(a2071)
    | ~ spl0_20
    | spl0_63
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f1972,f714]) ).

fof(f1998,plain,
    ( ~ spl0_129
    | spl0_166
    | ~ spl0_1
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1898,f615,f198,f1781,f812]) ).

fof(f2004,plain,
    ( ~ c2_1(a2087)
    | ~ spl0_20
    | spl0_74
    | spl0_75 ),
    inference(forward_subsumption_resolution,[],[f1970,f547]) ).

fof(f2007,plain,
    ( spl0_72
    | spl0_162
    | ~ spl0_18
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1953,f762,f255,f1729,f530]) ).

fof(f2013,plain,
    ( ~ spl0_122
    | ~ spl0_20
    | spl0_74
    | spl0_75 ),
    inference(avatar_split_clause,[],[f2004,f545,f540,f262,f777]) ).

fof(f2067,plain,
    ( c1_1(a2149)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_137 ),
    inference(resolution,[],[f1599,f854]) ).

fof(f2078,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | spl0_100
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f2067,f671]) ).

fof(f2079,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | spl0_100
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2078]) ).

fof(f2081,plain,
    ( ~ c0_1(a2070)
    | ~ spl0_7
    | spl0_62
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f1210,f482]) ).

fof(f2085,plain,
    ( ~ spl0_108
    | ~ spl0_7
    | spl0_62
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2081,f1040,f480,f218,f707]) ).

fof(f2090,plain,
    ( c1_1(a2070)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_108 ),
    inference(resolution,[],[f709,f1599]) ).

fof(f2091,plain,
    ( spl0_154
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2090,f707,f215,f198,f1040]) ).

fof(f2103,plain,
    ( c0_1(a2130)
    | ~ spl0_8
    | ~ spl0_19
    | spl0_94 ),
    inference(resolution,[],[f1736,f642]) ).

fof(f2104,plain,
    ( c0_1(a2072)
    | ~ spl0_8
    | ~ spl0_19
    | spl0_64 ),
    inference(resolution,[],[f1736,f492]) ).

fof(f2105,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_19
    | spl0_64
    | spl0_66 ),
    inference(forward_subsumption_resolution,[],[f2104,f502]) ).

fof(f2106,plain,
    ( ~ spl0_8
    | ~ spl0_19
    | spl0_64
    | spl0_66 ),
    inference(avatar_contradiction_clause,[],[f2105]) ).

fof(f2107,plain,
    ( spl0_168
    | ~ spl0_8
    | ~ spl0_19
    | spl0_94 ),
    inference(avatar_split_clause,[],[f2103,f640,f259,f222,f1890]) ).

fof(f2132,plain,
    ( ~ c3_1(a2077)
    | ~ c0_1(a2077)
    | ~ spl0_4
    | ~ spl0_151 ),
    inference(resolution,[],[f209,f924]) ).

fof(f2135,plain,
    ( ~ c3_1(a2069)
    | ~ c0_1(a2069)
    | ~ spl0_4
    | ~ spl0_142 ),
    inference(resolution,[],[f209,f879]) ).

fof(f2147,plain,
    ( ~ c0_1(a2069)
    | ~ spl0_4
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(forward_subsumption_resolution,[],[f2135,f874]) ).

fof(f2150,plain,
    ( ~ c0_1(a2077)
    | ~ spl0_4
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(forward_subsumption_resolution,[],[f2132,f919]) ).

fof(f2153,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f2147,f884]) ).

fof(f2154,plain,
    ( ~ spl0_4
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2153]) ).

fof(f2168,plain,
    ( ~ spl0_158
    | ~ spl0_12
    | spl0_68
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1122,f732,f510,f235,f1327]) ).

fof(f2169,plain,
    ( spl0_160
    | ~ spl0_12
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1123,f772,f767,f235,f1485]) ).

fof(f2207,plain,
    ( ~ c0_1(a2077)
    | ~ c1_1(a2077)
    | ~ spl0_2
    | ~ spl0_150 ),
    inference(resolution,[],[f202,f919]) ).

fof(f2208,plain,
    ( ~ c0_1(a2069)
    | ~ c1_1(a2069)
    | ~ spl0_2
    | ~ spl0_141 ),
    inference(resolution,[],[f202,f874]) ).

fof(f2269,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f253,f1283]) ).

fof(f2277,plain,
    ( ~ c3_1(a2068)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_17
    | spl0_61 ),
    inference(resolution,[],[f2269,f477]) ).

fof(f2279,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_17
    | spl0_61
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[],[f2277,f699]) ).

fof(f2280,plain,
    ( ~ spl0_8
    | ~ spl0_12
    | ~ spl0_17
    | spl0_61
    | ~ spl0_106 ),
    inference(avatar_contradiction_clause,[],[f2279]) ).

fof(f2313,plain,
    ( c2_1(a2070)
    | ~ c0_1(a2070)
    | ~ spl0_9
    | ~ spl0_107 ),
    inference(resolution,[],[f226,f704]) ).

fof(f2315,plain,
    ( ~ c0_1(a2070)
    | ~ spl0_9
    | spl0_62
    | ~ spl0_107 ),
    inference(forward_subsumption_resolution,[],[f2313,f482]) ).

fof(f2318,plain,
    ( $false
    | ~ spl0_9
    | spl0_62
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f2315,f709]) ).

fof(f2319,plain,
    ( ~ spl0_9
    | spl0_62
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f2318]) ).

fof(f2322,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f229,f249]) ).

fof(f2326,plain,
    ( ~ spl0_111
    | spl0_67
    | ~ spl0_10
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1922,f727,f228,f505,f722]) ).

fof(f2352,plain,
    ( c2_1(a2095)
    | ~ spl0_10
    | ~ spl0_16
    | ~ spl0_124 ),
    inference(resolution,[],[f2322,f789]) ).

fof(f2359,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_16
    | spl0_78
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f2352,f562]) ).

fof(f2360,plain,
    ( ~ spl0_10
    | ~ spl0_16
    | spl0_78
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f2359]) ).

fof(f2368,plain,
    ( c2_1(a2068)
    | ~ c3_1(a2068)
    | ~ spl0_10
    | ~ spl0_14
    | spl0_61
    | ~ spl0_106 ),
    inference(resolution,[],[f229,f1399]) ).

fof(f2369,plain,
    ( ~ c3_1(a2068)
    | ~ spl0_10
    | ~ spl0_14
    | spl0_60
    | spl0_61
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[],[f2368,f472]) ).

fof(f2371,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_14
    | spl0_60
    | spl0_61
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[],[f2369,f699]) ).

fof(f2372,plain,
    ( ~ spl0_10
    | ~ spl0_14
    | spl0_60
    | spl0_61
    | ~ spl0_106 ),
    inference(avatar_contradiction_clause,[],[f2371]) ).

fof(f2398,plain,
    ( ~ c3_1(a2082)
    | ~ spl0_5
    | ~ spl0_14
    | spl0_72 ),
    inference(resolution,[],[f1395,f532]) ).

fof(f2401,plain,
    ( ~ spl0_162
    | ~ spl0_5
    | ~ spl0_14
    | spl0_72 ),
    inference(avatar_split_clause,[],[f2398,f530,f242,f212,f1729]) ).

fof(f2406,plain,
    ( ~ c2_1(a2069)
    | ~ spl0_15
    | ~ spl0_141
    | spl0_156 ),
    inference(forward_subsumption_resolution,[],[f1877,f874]) ).

fof(f2416,plain,
    ( ~ spl0_142
    | ~ spl0_15
    | ~ spl0_141
    | spl0_156 ),
    inference(avatar_split_clause,[],[f2406,f1179,f872,f245,f877]) ).

fof(f2432,plain,
    ( ~ c3_1(a2110)
    | ~ c0_1(a2110)
    | ~ spl0_4
    | ~ spl0_128 ),
    inference(resolution,[],[f209,f809]) ).

fof(f2440,plain,
    ( ~ c3_1(a2110)
    | ~ spl0_4
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f2432,f814]) ).

fof(f2441,plain,
    ( ~ spl0_166
    | ~ spl0_4
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2440,f812,f807,f208,f1781]) ).

fof(f2454,plain,
    ( c1_1(a2070)
    | ~ c0_1(a2070)
    | ~ spl0_6
    | ~ spl0_107 ),
    inference(resolution,[],[f216,f704]) ).

fof(f2477,plain,
    ( ~ spl0_152
    | ~ spl0_155
    | ~ spl0_2
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2207,f917,f201,f1084,f927]) ).

fof(f2478,plain,
    ( ~ spl0_156
    | ~ spl0_143
    | ~ spl0_2
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2208,f872,f201,f882,f1179]) ).

fof(f2483,plain,
    ( ~ spl0_113
    | spl0_158
    | ~ spl0_10
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1921,f737,f228,f1327,f732]) ).

fof(f2485,plain,
    ( ~ spl0_155
    | ~ spl0_4
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2150,f922,f917,f208,f1084]) ).

fof(f2508,plain,
    ( ~ c1_1(a2073)
    | ~ spl0_7
    | ~ spl0_22
    | ~ spl0_146 ),
    inference(resolution,[],[f1078,f899]) ).

fof(f2520,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_22
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f2508,f894]) ).

fof(f2521,plain,
    ( ~ spl0_7
    | ~ spl0_22
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2520]) ).

fof(f2754,plain,
    ( ~ c0_1(a2075)
    | ~ c1_1(a2075)
    | ~ spl0_22
    | ~ spl0_147 ),
    inference(resolution,[],[f271,f904]) ).

fof(f2765,plain,
    ( ~ c1_1(a2075)
    | ~ spl0_22
    | ~ spl0_147
    | ~ spl0_149 ),
    inference(forward_subsumption_resolution,[],[f2754,f914]) ).

fof(f2768,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(forward_subsumption_resolution,[],[f2765,f909]) ).

fof(f2769,plain,
    ( ~ spl0_22
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2768]) ).

fof(f2771,plain,
    ( ~ spl0_128
    | ~ spl0_15
    | ~ spl0_20
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1715,f615,f262,f245,f807]) ).

fof(f2775,definition,
    ( spl0_176
  <=> c1_1(a2071) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f2781,plain,
    ( spl0_176
    | ~ spl0_20
    | spl0_63
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1977,f712,f485,f262,f2775]) ).

fof(f2784,plain,
    ( c1_1(a2070)
    | ~ spl0_6
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f2454,f709]) ).

fof(f2798,plain,
    ( spl0_154
    | ~ spl0_6
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2784,f707,f702,f215,f1040]) ).

fof(f2804,plain,
    ( ~ c0_1(a2071)
    | ~ c1_1(a2071)
    | ~ spl0_22
    | ~ spl0_109 ),
    inference(resolution,[],[f714,f271]) ).

fof(f2806,plain,
    ( ~ c1_1(a2071)
    | ~ spl0_22
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f2804,f719]) ).

fof(f2807,plain,
    ( ~ spl0_176
    | ~ spl0_22
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2806,f717,f712,f270,f2775]) ).

fof(f2812,plain,
    ( spl0_176
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1608,f717,f215,f198,f2775]) ).

fof(f2861,plain,
    ( c2_1(a2068)
    | c0_1(a2068)
    | ~ spl0_17
    | ~ spl0_106 ),
    inference(resolution,[],[f253,f699]) ).

fof(f2863,plain,
    ( c0_1(a2068)
    | ~ spl0_17
    | spl0_60
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[],[f2861,f472]) ).

fof(f2867,plain,
    ( $false
    | ~ spl0_17
    | spl0_60
    | spl0_61
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[],[f2863,f477]) ).

fof(f2868,plain,
    ( ~ spl0_17
    | spl0_60
    | spl0_61
    | ~ spl0_106 ),
    inference(avatar_contradiction_clause,[],[f2867]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f210]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f220]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f230]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f250]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f264]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f277]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_10
    | spl0_31 ),
    inference(sat_conversion,[],[f308]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_15
    | spl0_34 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_23
    | spl0_38 ),
    inference(sat_conversion,[],[f336]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_15
    | spl0_39 ),
    inference(sat_conversion,[],[f341]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_18
    | spl0_27 ),
    inference(sat_conversion,[],[f343]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_17
    | spl0_40 ),
    inference(sat_conversion,[],[f348]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_16
    | spl0_35 ),
    inference(sat_conversion,[],[f354]) ).

cnf(s25,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_10
    | spl0_34 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s26,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_15
    | spl0_23 ),
    inference(sat_conversion,[],[f361]) ).

cnf(s30,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_32
    | spl0_45 ),
    inference(sat_conversion,[],[f376]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_26
    | spl0_47 ),
    inference(sat_conversion,[],[f387]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_26
    | spl0_48 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s42,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_26
    | spl0_35 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s45,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_42
    | spl0_54 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_21
    | spl0_42 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_32
    | spl0_40 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s52,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_23
    | spl0_31 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_32
    | spl0_51 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s54,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_39
    | spl0_50 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s55,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_27
    | spl0_56 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_54 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s58,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_35
    | spl0_46 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_51 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s62,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_39
    | spl0_41 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s64,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_27
    | spl0_31 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s68,plain,
    ( ~ spl0_51
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s69,plain,
    ( ~ spl0_51
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s70,plain,
    ( ~ spl0_46
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s71,plain,
    ( ~ spl0_48
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s72,plain,
    ( ~ spl0_34
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s74,plain,
    ( ~ spl0_34
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s75,plain,
    ( ~ spl0_27
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f508]) ).

cnf(s76,plain,
    ( ~ spl0_31
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s80,plain,
    ( ~ spl0_35
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s82,plain,
    ( ~ spl0_40
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s83,plain,
    ( ~ spl0_40
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f548]) ).

cnf(s84,plain,
    ( ~ spl0_32
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s85,plain,
    ( ~ spl0_32
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s86,plain,
    ( ~ spl0_29
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s97,plain,
    ( ~ spl0_42
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s98,plain,
    ( ~ spl0_58
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s99,plain,
    ( ~ spl0_58
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s102,plain,
    ( ~ spl0_21
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s104,plain,
    ( ~ spl0_21
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s106,plain,
    ( ~ spl0_54
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s107,plain,
    ( ~ spl0_99
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f672]) ).

cnf(s109,plain,
    ( ~ spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s110,plain,
    ( ~ spl0_103
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s111,plain,
    ( ~ spl0_51
    | spl0_106 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s112,plain,
    ( ~ spl0_46
    | spl0_107 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s113,plain,
    ( ~ spl0_46
    | spl0_108 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s114,plain,
    ( ~ spl0_48
    | spl0_109 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s115,plain,
    ( ~ spl0_48
    | spl0_110 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s116,plain,
    ( ~ spl0_27
    | spl0_111 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s117,plain,
    ( ~ spl0_27
    | spl0_112 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s118,plain,
    ( ~ spl0_31
    | spl0_113 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s119,plain,
    ( ~ spl0_31
    | spl0_114 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s121,plain,
    ( ~ spl0_41
    | spl0_116 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s122,plain,
    ( ~ spl0_41
    | spl0_117 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s123,plain,
    ( ~ spl0_35
    | spl0_118 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s124,plain,
    ( ~ spl0_35
    | spl0_119 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s125,plain,
    ( ~ spl0_47
    | spl0_120 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s126,plain,
    ( ~ spl0_47
    | spl0_121 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s127,plain,
    ( ~ spl0_40
    | spl0_122 ),
    inference(sat_conversion,[],[f780]) ).

cnf(s128,plain,
    ( ~ spl0_32
    | spl0_123 ),
    inference(sat_conversion,[],[f785]) ).

cnf(s129,plain,
    ( ~ spl0_29
    | spl0_124 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s133,plain,
    ( ~ spl0_42
    | spl0_128 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s134,plain,
    ( ~ spl0_42
    | spl0_129 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s135,plain,
    ( ~ spl0_58
    | spl0_130 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s139,plain,
    ( ~ spl0_54
    | spl0_134 ),
    inference(sat_conversion,[],[f840]) ).

cnf(s140,plain,
    ( ~ spl0_54
    | spl0_135 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s142,plain,
    ( ~ spl0_99
    | spl0_137 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s145,plain,
    ( ~ spl0_103
    | spl0_140 ),
    inference(sat_conversion,[],[f870]) ).

cnf(s146,plain,
    ( ~ spl0_23
    | spl0_141 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s147,plain,
    ( ~ spl0_23
    | spl0_142 ),
    inference(sat_conversion,[],[f880]) ).

cnf(s148,plain,
    ( ~ spl0_23
    | spl0_143 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s149,plain,
    ( ~ spl0_39
    | spl0_144 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s150,plain,
    ( ~ spl0_39
    | spl0_145 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s151,plain,
    ( ~ spl0_39
    | spl0_146 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s152,plain,
    ( ~ spl0_56
    | spl0_147 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s153,plain,
    ( ~ spl0_56
    | spl0_148 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s154,plain,
    ( ~ spl0_56
    | spl0_149 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s155,plain,
    ( ~ spl0_50
    | spl0_150 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s156,plain,
    ( ~ spl0_50
    | spl0_151 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s157,plain,
    ( ~ spl0_50
    | spl0_152 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s158,plain,
    ( spl0_29
    | spl0_58
    | spl0_103 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s160,plain,
    ( spl0_31
    | spl0_34
    | spl0_50 ),
    inference(sat_conversion,[],[f933]) ).

cnf(s163,plain,
    ( spl0_42
    | spl0_46
    | spl0_99 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s165,plain,
    ( spl0_31
    | spl0_39
    | spl0_99 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s169,plain,
    ( spl0_3
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s171,plain,
    ( spl0_3
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s195,plain,
    ( spl0_3
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f968]) ).

cnf(s196,plain,
    ( spl0_42
    | spl0_48 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s199,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f992]) ).

cnf(s200,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f1005]) ).

cnf(s204,plain,
    ( ~ spl0_7
    | ~ spl0_38
    | spl0_62
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s212,plain,
    ( ~ spl0_2
    | ~ spl0_144
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1080]) ).

cnf(s227,plain,
    ( ~ spl0_7
    | ~ spl0_22
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1161]) ).

cnf(s253,plain,
    ( ~ spl0_8
    | ~ spl0_12
    | spl0_72
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1299]) ).

cnf(s255,plain,
    ( ~ spl0_7
    | ~ spl0_26
    | spl0_78
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1305]) ).

cnf(s256,plain,
    ( ~ spl0_7
    | ~ spl0_12
    | ~ spl0_26
    | spl0_68
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1307]) ).

cnf(s257,plain,
    ( ~ spl0_7
    | ~ spl0_26
    | spl0_67
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1308]) ).

cnf(s258,plain,
    ( ~ spl0_45
    | spl0_72
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1312]) ).

cnf(s268,plain,
    ( ~ spl0_7
    | ~ spl0_26
    | ~ spl0_114
    | spl0_158 ),
    inference(sat_conversion,[],[f1331]) ).

cnf(s273,plain,
    ( ~ spl0_12
    | spl0_98
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1350]) ).

cnf(s319,plain,
    ( ~ spl0_4
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1495]) ).

cnf(s337,plain,
    ( ~ spl0_5
    | ~ spl0_111
    | ~ spl0_112
    | spl0_153 ),
    inference(sat_conversion,[],[f1594]) ).

cnf(s338,plain,
    ( ~ spl0_5
    | spl0_68
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1596]) ).

cnf(s339,plain,
    ( ~ spl0_5
    | ~ spl0_150
    | ~ spl0_152
    | spl0_155 ),
    inference(sat_conversion,[],[f1598]) ).

cnf(s342,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | spl0_89
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1614]) ).

cnf(s359,plain,
    ( ~ spl0_1
    | spl0_76
    | spl0_77
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1701]) ).

cnf(s378,plain,
    ( ~ spl0_45
    | spl0_68
    | ~ spl0_114
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1758]) ).

cnf(s381,plain,
    ( ~ spl0_45
    | ~ spl0_151
    | ~ spl0_152
    | spl0_155 ),
    inference(sat_conversion,[],[f1763]) ).

cnf(s382,plain,
    ( ~ spl0_16
    | spl0_90
    | spl0_91
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1770]) ).

cnf(s387,plain,
    ( ~ spl0_18
    | spl0_104
    | spl0_105
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1786]) ).

cnf(s406,plain,
    ( ~ spl0_2
    | ~ spl0_111
    | ~ spl0_112
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1817]) ).

cnf(s438,plain,
    ( ~ spl0_1
    | spl0_94
    | spl0_96
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1910]) ).

cnf(s440,plain,
    ( ~ spl0_10
    | spl0_62
    | ~ spl0_107
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1927]) ).

cnf(s453,plain,
    ( ~ spl0_1
    | spl0_89
    | ~ spl0_129
    | spl0_166 ),
    inference(sat_conversion,[],[f1998]) ).

cnf(s457,plain,
    ( ~ spl0_18
    | spl0_72
    | ~ spl0_119
    | spl0_162 ),
    inference(sat_conversion,[],[f2007]) ).

cnf(s468,plain,
    ( ~ spl0_20
    | spl0_74
    | spl0_75
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2013]) ).

cnf(s489,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | spl0_100
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2079]) ).

cnf(s494,plain,
    ( ~ spl0_7
    | spl0_62
    | ~ spl0_108
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2085]) ).

cnf(s496,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_108
    | spl0_154 ),
    inference(sat_conversion,[],[f2091]) ).

cnf(s498,plain,
    ( ~ spl0_8
    | ~ spl0_19
    | spl0_64
    | spl0_66 ),
    inference(sat_conversion,[],[f2106]) ).

cnf(s499,plain,
    ( ~ spl0_8
    | ~ spl0_19
    | spl0_94
    | spl0_168 ),
    inference(sat_conversion,[],[f2107]) ).

cnf(s511,plain,
    ( ~ spl0_4
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f2154]) ).

cnf(s519,plain,
    ( ~ spl0_12
    | spl0_68
    | ~ spl0_113
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2168]) ).

cnf(s520,plain,
    ( ~ spl0_12
    | ~ spl0_120
    | ~ spl0_121
    | spl0_160 ),
    inference(sat_conversion,[],[f2169]) ).

cnf(s558,plain,
    ( ~ spl0_8
    | ~ spl0_12
    | ~ spl0_17
    | spl0_61
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f2280]) ).

cnf(s582,plain,
    ( ~ spl0_9
    | spl0_62
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f2319]) ).

cnf(s586,plain,
    ( ~ spl0_10
    | spl0_67
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f2326]) ).

cnf(s606,plain,
    ( ~ spl0_10
    | ~ spl0_16
    | spl0_78
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f2360]) ).

cnf(s607,plain,
    ( ~ spl0_10
    | ~ spl0_14
    | spl0_60
    | spl0_61
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f2372]) ).

cnf(s617,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | spl0_72
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2401]) ).

cnf(s629,plain,
    ( ~ spl0_15
    | ~ spl0_141
    | ~ spl0_142
    | spl0_156 ),
    inference(sat_conversion,[],[f2416]) ).

cnf(s634,plain,
    ( ~ spl0_4
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2441]) ).

cnf(s646,plain,
    ( ~ spl0_2
    | ~ spl0_150
    | ~ spl0_152
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2477]) ).

cnf(s647,plain,
    ( ~ spl0_2
    | ~ spl0_141
    | ~ spl0_143
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2478]) ).

cnf(s655,plain,
    ( ~ spl0_10
    | ~ spl0_113
    | ~ spl0_114
    | spl0_158 ),
    inference(sat_conversion,[],[f2483]) ).

cnf(s656,plain,
    ( ~ spl0_4
    | ~ spl0_150
    | ~ spl0_151
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2485]) ).

cnf(s672,plain,
    ( ~ spl0_7
    | ~ spl0_22
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f2521]) ).

cnf(s765,plain,
    ( ~ spl0_22
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f2769]) ).

cnf(s766,plain,
    ( ~ spl0_15
    | ~ spl0_20
    | spl0_89
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f2771]) ).

cnf(s770,plain,
    ( ~ spl0_20
    | spl0_63
    | ~ spl0_109
    | spl0_176 ),
    inference(sat_conversion,[],[f2781]) ).

cnf(s783,plain,
    ( ~ spl0_6
    | ~ spl0_107
    | ~ spl0_108
    | spl0_154 ),
    inference(sat_conversion,[],[f2798]) ).

cnf(s790,plain,
    ( ~ spl0_22
    | ~ spl0_109
    | ~ spl0_110
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2807]) ).

cnf(s794,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_110
    | spl0_176 ),
    inference(sat_conversion,[],[f2812]) ).

cnf(s817,plain,
    ( ~ spl0_17
    | spl0_60
    | spl0_61
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f2868]) ).

cnf(s820,plain,
    spl0_3,
    inference(rat,[],[s160,s169,s171,s195]) ).

cnf(s821,plain,
    ( ~ spl0_23
    | ~ spl0_4 ),
    inference(rat,[],[s511,s146,s147,s148]) ).

cnf(s822,plain,
    ( ~ spl0_39
    | ~ spl0_22
    | ~ spl0_7 ),
    inference(rat,[],[s672,s150,s151]) ).

cnf(s823,plain,
    ( ~ spl0_22
    | ~ spl0_7
    | spl0_17 ),
    inference(rat,[],[s227,s121,s122,s62,s822,s820]) ).

cnf(s825,plain,
    ( ~ spl0_46
    | ~ spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s200,s112,s113]) ).

cnf(s826,plain,
    ( spl0_8
    | spl0_10
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s258,s80,s123,s124,s58,s32,s825,s3,s820]) ).

cnf(s827,plain,
    ( ~ spl0_35
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(rat,[],[s253,s80,s123]) ).

cnf(s828,plain,
    ( spl0_6
    | spl0_5
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s319,s520,s125,s126,s33,s825,s58,s827,s826,s655,s256,s519,s9,s823,s76,s118,s119,s52,s2,s821,s817,s68,s69,s111,s60,s820]) ).

cnf(s829,plain,
    ( spl0_46
    | spl0_8
    | spl0_1 ),
    inference(rat,[],[s258,s80,s123,s124,s58,s32,s820]) ).

cnf(s830,plain,
    ( spl0_8
    | ~ spl0_6
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s440,s783,s70,s112,s113,s829,s826]) ).

cnf(s831,plain,
    ( ~ spl0_12
    | ~ spl0_8
    | ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s273,s106,s139,s140,s56,s494,s783,s70,s112,s113,s58,s827,s820]) ).

cnf(s834,plain,
    ( ~ spl0_48
    | ~ spl0_20
    | ~ spl0_22 ),
    inference(rat,[],[s770,s790,s71,s114,s115]) ).

cnf(s835,plain,
    ( ~ spl0_20
    | ~ spl0_22
    | ~ spl0_15 ),
    inference(rat,[],[s766,s97,s133,s196,s834]) ).

cnf(s836,plain,
    ( spl0_10
    | spl0_20
    | ~ spl0_8
    | spl0_1 ),
    inference(rat,[],[s498,s72,s74,s7,s25,s820]) ).

cnf(s837,plain,
    ( ~ spl0_46
    | ~ spl0_10
    | ~ spl0_6 ),
    inference(rat,[],[s440,s783,s70,s112,s113]) ).

cnf(s838,plain,
    ( ~ spl0_27
    | ~ spl0_10 ),
    inference(rat,[],[s586,s75,s116,s117]) ).

cnf(s839,plain,
    ( spl0_5
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s765,s152,s153,s154,s55,s838,s836,s835,s9,s831,s830,s828,s26,s821,s820]) ).

cnf(s842,plain,
    ( ~ spl0_31
    | ~ spl0_5 ),
    inference(rat,[],[s338,s76,s118,s119]) ).

cnf(s843,plain,
    ( ~ spl0_50
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s339,s656,s155,s156,s157]) ).

cnf(s844,plain,
    ( ~ spl0_8
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s498,s64,s838,s836,s835,s9,s831,s26,s52,s821,s74,s72,s160,s843,s842,s839,s820]) ).

cnf(s845,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s830,s844,s52,s842,s839,s821,s820]) ).

cnf(s846,plain,
    ( ~ spl0_39
    | ~ spl0_2 ),
    inference(rat,[],[s212,s149,s150,s151]) ).

cnf(s847,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_12
    | ~ spl0_22
    | ~ spl0_8 ),
    inference(rat,[],[s558,s823,s69,s111,s2,s60,s820]) ).

cnf(s848,plain,
    ( ~ spl0_22
    | spl0_10
    | ~ spl0_8
    | spl0_1 ),
    inference(rat,[],[s257,s75,s117,s64,s13,s842,s847,s35,s831,s18,s834,s835,s846,s1,s845,s836,s498,s74,s72,s25,s820]) ).

cnf(s849,plain,
    ( spl0_12
    | spl0_22
    | ~ spl0_2 ),
    inference(rat,[],[s647,s629,s146,s147,s148,s18,s9,s846,s820]) ).

cnf(s850,plain,
    ( ~ spl0_23
    | ~ spl0_15
    | ~ spl0_2 ),
    inference(rat,[],[s647,s629,s146,s147,s148]) ).

cnf(s851,plain,
    ( spl0_23
    | spl0_62
    | ~ spl0_108
    | spl0_6
    | spl0_4 ),
    inference(rat,[],[s2,s842,s204,s52,s17,s820]) ).

cnf(s852,plain,
    ( ~ spl0_40
    | ~ spl0_20 ),
    inference(rat,[],[s468,s82,s83,s127]) ).

cnf(s853,plain,
    ( ~ spl0_51
    | ~ spl0_17
    | ~ spl0_12
    | ~ spl0_8 ),
    inference(rat,[],[s558,s69,s111]) ).

cnf(s854,plain,
    ( spl0_10
    | ~ spl0_8
    | spl0_1 ),
    inference(rat,[],[s337,s406,s116,s117,s64,s842,s60,s853,s21,s852,s849,s848,s498,s72,s74,s836,s25,s1,s845,s820]) ).

cnf(s855,plain,
    ( spl0_12
    | spl0_27
    | ~ spl0_2 ),
    inference(rat,[],[s765,s152,s153,s154,s55,s339,s646,s155,s157,s849,s54,s846,s820]) ).

cnf(s856,plain,
    ( ~ spl0_8
    | spl0_1 ),
    inference(rat,[],[s519,s655,s76,s118,s119,s64,s498,s72,s74,s15,s850,s851,s582,s70,s112,s113,s58,s827,s831,s855,s838,s854,s1,s845,s820]) ).

cnf(s858,plain,
    ( ~ spl0_54
    | ~ spl0_12 ),
    inference(rat,[],[s273,s106,s139,s140]) ).

cnf(s862,plain,
    ( ~ spl0_103
    | ~ spl0_18 ),
    inference(rat,[],[s387,s109,s110,s145]) ).

cnf(s863,plain,
    ( ~ spl0_58
    | ~ spl0_16 ),
    inference(rat,[],[s382,s98,s99,s135]) ).

cnf(s864,plain,
    ( ~ spl0_16
    | spl0_1 ),
    inference(rat,[],[s606,s86,s129,s158,s863,s862,s20,s838,s3,s582,s70,s112,s113,s829,s856,s845,s820]) ).

cnf(s865,plain,
    ( spl0_4
    | spl0_1 ),
    inference(rat,[],[s607,s68,s69,s111,s60,s617,s457,s80,s124,s5,s23,s864,s20,s838,s850,s3,s851,s582,s199,s70,s112,s113,s829,s856,s1,s820]) ).

cnf(s866,plain,
    spl0_1,
    inference(rat,[],[s865,s845]) ).

cnf(s867,plain,
    ~ spl0_32,
    inference(rat,[],[s359,s84,s85,s128,s866]) ).

cnf(s868,plain,
    ( ~ spl0_35
    | ~ spl0_45 ),
    inference(rat,[],[s258,s80,s123,s124]) ).

cnf(s869,plain,
    ( ~ spl0_16
    | spl0_103
    | ~ spl0_10 ),
    inference(rat,[],[s606,s86,s129,s158,s863]) ).

cnf(s870,plain,
    ( spl0_6
    | spl0_16 ),
    inference(rat,[],[s30,s868,s852,s23,s51,s820,s867]) ).

cnf(s871,plain,
    ( ~ spl0_99
    | ~ spl0_6 ),
    inference(rat,[],[s489,s107,s142,s866]) ).

cnf(s872,plain,
    ( ~ spl0_10
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s519,s655,s76,s118,s119,s165,s871,s870,s869,s862,s855,s20,s838,s846,s820]) ).

cnf(s873,plain,
    ( ~ spl0_29
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(rat,[],[s255,s86,s129]) ).

cnf(s874,plain,
    ( ~ spl0_7
    | spl0_6
    | spl0_4 ),
    inference(rat,[],[s257,s75,s117,s20,s862,s158,s873,s863,s870,s42,s868,s30,s852,s51,s820,s867]) ).

cnf(s875,plain,
    ( spl0_6
    | spl0_10
    | spl0_4 ),
    inference(rat,[],[s842,s13,s2,s874,s820]) ).

cnf(s876,plain,
    ( spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s381,s646,s155,s156,s157,s54,s858,s56,s268,s42,s378,s868,s30,s852,s21,s817,s68,s69,s111,s60,s842,s76,s119,s165,s871,s875,s872,s846,s820,s867]) ).

cnf(s878,plain,
    ( spl0_31
    | ~ spl0_2 ),
    inference(rat,[],[s871,s52,s165,s846,s821,s876,s820]) ).

cnf(s880,plain,
    ( spl0_20
    | spl0_26 ),
    inference(rat,[],[s868,s42,s30,s820,s867]) ).

cnf(s883,plain,
    ( ~ spl0_42
    | ~ spl0_6 ),
    inference(rat,[],[s342,s97,s134,s866]) ).

cnf(s884,plain,
    ( ~ spl0_7
    | spl0_158
    | ~ spl0_114 ),
    inference(rat,[],[s496,s494,s70,s113,s163,s883,s871,s51,s852,s880,s268,s820,s867,s866]) ).

cnf(s885,plain,
    ( ~ spl0_12
    | ~ spl0_31 ),
    inference(rat,[],[s884,s56,s519,s858,s119,s118,s76,s820]) ).

cnf(s886,plain,
    ~ spl0_2,
    inference(rat,[],[s381,s646,s30,s155,s156,s157,s835,s849,s54,s18,s885,s878,s846,s820,s867]) ).

cnf(s887,plain,
    spl0_54,
    inference(rat,[],[s634,s874,s453,s883,s97,s133,s134,s45,s56,s866,s820,s886]) ).

cnf(s891,plain,
    ~ spl0_12,
    inference(rat,[],[s858,s887]) ).

cnf(s892,plain,
    spl0_51,
    inference(rat,[],[s53,s867,s820,s891]) ).

cnf(s893,plain,
    spl0_106,
    inference(rat,[],[s111,s892]) ).

cnf(s894,plain,
    ~ spl0_61,
    inference(rat,[],[s69,s892]) ).

cnf(s895,plain,
    ~ spl0_60,
    inference(rat,[],[s68,s892]) ).

cnf(s896,plain,
    ~ spl0_17,
    inference(rat,[],[s817,s894,s893,s895]) ).

cnf(s897,plain,
    ( ~ spl0_6
    | ~ spl0_10 ),
    inference(rat,[],[s163,s883,s871,s837]) ).

cnf(s898,plain,
    ( spl0_103
    | ~ spl0_10 ),
    inference(rat,[],[s897,s870,s869]) ).

cnf(s899,plain,
    ( ~ spl0_10
    | spl0_4 ),
    inference(rat,[],[s898,s862,s20,s838,s820]) ).

cnf(s900,plain,
    spl0_4,
    inference(rat,[],[s499,s438,s102,s104,s48,s3,s494,s582,s496,s70,s112,s113,s163,s883,s871,s7,s875,s899,s852,s21,s866,s820,s896]) ).

cnf(s901,plain,
    ~ spl0_23,
    inference(rat,[],[s821,s900]) ).

cnf(s902,plain,
    spl0_22,
    inference(rat,[],[s9,s820,s891,s901]) ).

cnf(s903,plain,
    ~ spl0_7,
    inference(rat,[],[s823,s896,s902]) ).

cnf(s904,plain,
    spl0_6,
    inference(rat,[],[s842,s2,s52,s820,s903,s901]) ).

cnf(s907,plain,
    ~ spl0_42,
    inference(rat,[],[s883,s904]) ).

cnf(s909,plain,
    spl0_48,
    inference(rat,[],[s196,s907]) ).

cnf(s916,plain,
    spl0_110,
    inference(rat,[],[s115,s909]) ).

cnf(s917,plain,
    spl0_109,
    inference(rat,[],[s114,s909]) ).

cnf(s927,plain,
    spl0_176,
    inference(rat,[],[s794,s866,s904,s916]) ).

cnf(s928,plain,
    $false,
    inference(rat,[],[s790,s902,s916,s917,s927]) ).

fof(f2873,plain,
    $false,
    inference(avatar_sat_refutation,[],[s928]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN485-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n009.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 16:15:30 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.77/0.70  % (3193867)Input is clausal, will run a generic CNF schedule.
% 1.77/0.70  % (3193877)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=933618273:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.77/0.70  % (3193877)First to succeed.
% 1.77/0.70  % (3193877)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3193867"
% 1.77/0.70  % (3193875)lrs+10_1_sil=8000:sp=occurrence:random_seed=243669516:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.77/0.70  % (3193876)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2244892006:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.77/0.70  % (3193872)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2928729694:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.77/0.70  % (3193878)dis-21_1_sil=8000:lcm=predicate:random_seed=2300654545:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.77/0.70  % (3193874)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3060161802:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.77/0.70  % (3193873)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3155582358:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.77/0.70  % (3193878)Also succeeded, but the first one will report.
% 1.77/0.70  % (3193876)Also succeeded, but the first one will report.
% 1.77/0.70  % (3193875)Also succeeded, but the first one will report.
% 1.77/0.70  % (3193877)Refutation found. Thanks to Tanya!
% 1.77/0.70  % SZS status Unsatisfiable for theBenchmark
% 1.77/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.79  % (3193877)------------------------------
% 2.26/0.79  % (3193877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.26/0.79  % (3193877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.79  % (3193877)CaDiCaL version: 2.1.3
% 2.26/0.79  % (3193877)Termination reason: Refutation
% 2.26/0.79  % (3193877)Time elapsed: 0.023 s
% 2.26/0.79  % (3193877)Peak memory usage: 90 MB
% 2.26/0.79  % (3193877)Instructions burned: 63 (million)
% 2.26/0.79  % (3193877)------------------------------
% 2.26/0.79  % (3193877)------------------------------
% 2.26/0.79  % (3193867)Success in time 0.282 s
% 2.26/0.79  % Vampire exiting
%------------------------------------------------------------------------------