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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN506-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 01:59:49 PM UTC 2026

% Result   : Unsatisfiable 3.05s 1.09s
% Output   : Refutation 3.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :  194
% Syntax   : Number of formulae    :  666 (  36 unt; 105 def)
%            Number of atoms       : 2107 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2547 (1106   ~;1336   |;   0   &)
%                                         ( 105 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  128 ( 127 usr; 124 prp; 0-1 aty)
%            Number of functors    :   17 (  17 usr;  17 con; 0-0 aty)
%            Number of variables   :  134 (   0 sgn 134   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp25
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ( hskp24
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f6,negated_conjecture,
    ( ~ hskp25
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f15,negated_conjecture,
    ( ~ hskp16
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).

fof(f35,negated_conjecture,
    ( hskp12
    | hskp17
    | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f39,negated_conjecture,
    ( ~ hskp28
    | c0_1(a343) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp28
    | c1_1(a343) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp28
    | c2_1(a343) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp27
    | c1_1(a341) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp27
    | c2_1(a341) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp27
    | c3_1(a341) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp26
    | c0_1(a333) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp26
    | c1_1(a333) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp26
    | c3_1(a333) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp25
    | c0_1(a419) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp24
    | c1_1(a401) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f52,negated_conjecture,
    ( ~ hskp22
    | c3_1(a367) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp21
    | c3_1(a359) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f58,negated_conjecture,
    ( ~ hskp17
    | c1_1(a353) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp17
    | c2_1(a353) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp16
    | c1_1(a349) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp16
    | c3_1(a349) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp15
    | c0_1(a348) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp14
    | c2_1(a347) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp14
    | c3_1(a347) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f67,negated_conjecture,
    ( ~ hskp12
    | c0_1(a345) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp12
    | c3_1(a345) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp10
    | c0_1(a337) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f71,negated_conjecture,
    ( ~ hskp7
    | c3_1(a330) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f73,negated_conjecture,
    ( ~ hskp5
    | c0_1(a327) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp5
    | c1_1(a327) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f77,negated_conjecture,
    ( ~ hskp3
    | c0_1(a325) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp3
    | c1_1(a325) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f81,negated_conjecture,
    ( ~ c1_1(a419)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ c2_1(a419)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ c0_1(a401)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ c2_1(a401)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f86,negated_conjecture,
    ( ~ c1_1(a367)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ c2_1(a367)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c0_1(a359)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c2_1(a359)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f95,negated_conjecture,
    ( ~ c0_1(a353)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c2_1(a349)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c1_1(a348)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c3_1(a348)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c1_1(a347)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f101,negated_conjecture,
    ( ~ c2_1(a345)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f105,negated_conjecture,
    ( ~ c2_1(a337)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c3_1(a337)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f109,negated_conjecture,
    ( ~ c0_1(a332)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c2_1(a332)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c3_1(a332)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c0_1(a330)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c1_1(a330)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f116,negated_conjecture,
    ( ~ c3_1(a327)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f118,negated_conjecture,
    ( ~ c2_1(a325)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f129,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp5
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp15
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp7
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp28
      | hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp3
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp3
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp17
      | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp3
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f154,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox/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)
      | c1_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

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

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X1)
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

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

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

fof(f191,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c1_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

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

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

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

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

fof(f198,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f199,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f201,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f202,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c0_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(f207,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f208,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f209,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f196,f207,f204,f201,f198]) ).

fof(f211,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f212,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f214,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f215,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f217,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f218,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f219,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f195,f217,f204,f214,f211]) ).

fof(f221,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f222,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f224,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f225,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f226,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f194,f217,f204,f224,f221]) ).

fof(f227,plain,
    ( spl0_8
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f193,f207,f204,f201,f221]) ).

fof(f229,definition,
    ( spl0_10
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f230,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f232,definition,
    ( spl0_11
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f233,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f236,definition,
    ( spl0_12
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f237,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f239,definition,
    ( spl0_13
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f240,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f242,definition,
    ( spl0_14
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f243,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f244,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f191,f242,f204,f239,f236]) ).

fof(f246,definition,
    ( spl0_15
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f247,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f249,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f250,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f252,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f253,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f254,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f190,f252,f204,f249,f246]) ).

fof(f256,definition,
    ( spl0_18
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f257,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f258,plain,
    ( spl0_18
    | spl0_11
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f189,f242,f204,f232,f256]) ).

fof(f259,plain,
    ( spl0_8
    | spl0_16
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f188,f198,f204,f249,f221]) ).

fof(f261,definition,
    ( spl0_19
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f264,definition,
    ( spl0_20
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f265,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f267,definition,
    ( spl0_21
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f268,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f269,plain,
    ( spl0_19
    | spl0_20
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f187,f267,f204,f264,f261]) ).

fof(f274,definition,
    ( spl0_23
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f275,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f278,definition,
    ( spl0_24
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f280,plain,
    ( spl0_24
    | spl0_14
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f185,f267,f204,f242,f278]) ).

fof(f286,definition,
    ( spl0_26
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f289,definition,
    ( spl0_27
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f290,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f291,plain,
    ( spl0_26
    | spl0_23
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f183,f289,f204,f274,f286]) ).

fof(f292,plain,
    ( spl0_19
    | spl0_1
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f182,f217,f204,f198,f261]) ).

fof(f294,definition,
    ( spl0_28
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f298,definition,
    ( spl0_29
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f312,definition,
    ( spl0_33
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f313,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f316,definition,
    ( spl0_34
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f318,plain,
    ( spl0_34
    | spl0_10
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f177,f249,f204,f229,f316]) ).

fof(f320,definition,
    ( spl0_35
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f323,definition,
    ( spl0_36
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f324,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f328,definition,
    ( spl0_37
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f329,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f332,definition,
    ( spl0_38
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f334,plain,
    ( spl0_38
    | spl0_37
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f173,f249,f204,f328,f332]) ).

fof(f340,definition,
    ( spl0_40
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f343,definition,
    ( spl0_41
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f344,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f345,plain,
    ( spl0_40
    | spl0_41
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f171,f232,f204,f343,f340]) ).

fof(f351,definition,
    ( spl0_43
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f353,plain,
    ( spl0_43
    | spl0_15
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f169,f201,f204,f246,f351]) ).

fof(f355,definition,
    ( spl0_44
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f357,plain,
    ( spl0_44
    | spl0_18
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f168,f201,f204,f256,f355]) ).

fof(f360,plain,
    ( spl0_38
    | spl0_12
    | ~ spl0_3
    | spl0_41 ),
    inference(avatar_split_clause,[],[f165,f343,f204,f236,f332]) ).

fof(f362,definition,
    ( spl0_45
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f363,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f364,plain,
    ( spl0_35
    | spl0_45
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f164,f207,f204,f362,f320]) ).

fof(f371,definition,
    ( spl0_47
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f374,definition,
    ( spl0_48
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f375,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f376,plain,
    ( spl0_47
    | spl0_48
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f161,f289,f204,f374,f371]) ).

fof(f378,plain,
    ( spl0_35
    | spl0_18
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f159,f246,f204,f256,f320]) ).

fof(f380,definition,
    ( spl0_49
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f391,plain,
    ( spl0_43
    | spl0_36
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f155,f232,f204,f323,f351]) ).

fof(f392,plain,
    ( spl0_34
    | spl0_48
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f154,f211,f204,f374,f316]) ).

fof(f406,definition,
    ( spl0_55
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f408,plain,
    ( spl0_19
    | spl0_55
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f150,f267,f204,f406,f261]) ).

fof(f410,definition,
    ( spl0_56
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f414,definition,
    ( spl0_57
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f416,plain,
    ( spl0_57
    | spl0_28
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f148,f217,f204,f294,f414]) ).

fof(f420,plain,
    ( spl0_19
    | spl0_55
    | ~ spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f144,f312,f204,f406,f261]) ).

fof(f436,plain,
    ( spl0_44
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f137,f214,f204,f355]) ).

fof(f437,plain,
    ( spl0_26
    | spl0_55
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f136,f198,f204,f406,f286]) ).

fof(f438,plain,
    ( spl0_49
    | spl0_44
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f135,f198,f204,f355,f380]) ).

fof(f439,plain,
    ( spl0_40
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f134,f242,f204,f340]) ).

fof(f440,plain,
    ( spl0_24
    | spl0_35
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f133,f232,f204,f320,f278]) ).

fof(f443,plain,
    ( spl0_56
    | spl0_40
    | spl0_48
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f130,f204,f374,f340,f410]) ).

fof(f444,plain,
    ( spl0_29
    | spl0_38
    | spl0_48
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f129,f204,f374,f332,f298]) ).

fof(f484,definition,
    ( spl0_69
  <=> c2_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f485,plain,
    ( ~ c2_1(a325)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f486,plain,
    ( ~ spl0_55
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f118,f484,f406]) ).

fof(f494,definition,
    ( spl0_71
  <=> c3_1(a327) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f495,plain,
    ( ~ c3_1(a327)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f496,plain,
    ( ~ spl0_38
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f116,f494,f332]) ).

fof(f508,definition,
    ( spl0_74
  <=> c1_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f510,plain,
    ( ~ spl0_35
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f113,f508,f320]) ).

fof(f512,definition,
    ( spl0_75
  <=> c0_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f513,plain,
    ( ~ c0_1(a330)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f514,plain,
    ( ~ spl0_35
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f112,f512,f320]) ).

fof(f517,definition,
    ( spl0_76
  <=> c3_1(a332) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f518,plain,
    ( ~ c3_1(a332)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f519,plain,
    ( ~ spl0_26
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f111,f517,f286]) ).

fof(f521,definition,
    ( spl0_77
  <=> c2_1(a332) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f523,plain,
    ( ~ spl0_26
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f110,f521,f286]) ).

fof(f525,definition,
    ( spl0_78
  <=> c0_1(a332) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f526,plain,
    ( ~ c0_1(a332)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f527,plain,
    ( ~ spl0_26
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f109,f525,f286]) ).

fof(f539,definition,
    ( spl0_81
  <=> c3_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f540,plain,
    ( ~ c3_1(a337)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f541,plain,
    ( ~ spl0_19
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f106,f539,f261]) ).

fof(f543,definition,
    ( spl0_82
  <=> c2_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f545,plain,
    ( ~ spl0_19
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f105,f543,f261]) ).

fof(f561,definition,
    ( spl0_86
  <=> c2_1(a345) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f563,plain,
    ( ~ spl0_34
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f101,f561,f316]) ).

fof(f571,definition,
    ( spl0_88
  <=> c1_1(a347) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f573,plain,
    ( ~ spl0_29
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f99,f571,f298]) ).

fof(f576,definition,
    ( spl0_89
  <=> c3_1(a348) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f577,plain,
    ( ~ c3_1(a348)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f578,plain,
    ( ~ spl0_40
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f98,f576,f340]) ).

fof(f580,definition,
    ( spl0_90
  <=> c1_1(a348) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f582,plain,
    ( ~ spl0_40
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f97,f580,f340]) ).

fof(f585,definition,
    ( spl0_91
  <=> c2_1(a349) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f587,plain,
    ( ~ spl0_56
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f96,f585,f410]) ).

fof(f590,definition,
    ( spl0_92
  <=> c0_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f591,plain,
    ( ~ c0_1(a353)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f592,plain,
    ( ~ spl0_28
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f95,f590,f294]) ).

fof(f618,definition,
    ( spl0_98
  <=> c2_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f620,plain,
    ( ~ spl0_47
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f89,f618,f371]) ).

fof(f622,definition,
    ( spl0_99
  <=> c0_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f623,plain,
    ( ~ c0_1(a359)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f624,plain,
    ( ~ spl0_47
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f88,f622,f371]) ).

fof(f627,definition,
    ( spl0_100
  <=> c2_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f629,plain,
    ( ~ spl0_24
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f87,f627,f278]) ).

fof(f631,definition,
    ( spl0_101
  <=> c1_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f633,plain,
    ( ~ spl0_24
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f86,f631,f278]) ).

fof(f641,definition,
    ( spl0_103
  <=> c2_1(a401) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f643,plain,
    ( ~ spl0_57
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f84,f641,f414]) ).

fof(f645,definition,
    ( spl0_104
  <=> c0_1(a401) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f646,plain,
    ( ~ c0_1(a401)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f647,plain,
    ( ~ spl0_57
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f83,f645,f414]) ).

fof(f649,definition,
    ( spl0_105
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f652,definition,
    ( spl0_106
  <=> c2_1(a419) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f654,plain,
    ( ~ spl0_105
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f82,f652,f649]) ).

fof(f656,definition,
    ( spl0_107
  <=> c1_1(a419) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f658,plain,
    ( ~ spl0_105
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f81,f656,f649]) ).

fof(f668,definition,
    ( spl0_110
  <=> c1_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f670,plain,
    ( spl0_110
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f78,f406,f668]) ).

fof(f672,definition,
    ( spl0_111
  <=> c0_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f673,plain,
    ( c0_1(a325)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f674,plain,
    ( spl0_111
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f77,f406,f672]) ).

fof(f684,definition,
    ( spl0_114
  <=> c1_1(a327) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f686,plain,
    ( spl0_114
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f74,f332,f684]) ).

fof(f688,definition,
    ( spl0_115
  <=> c0_1(a327) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f689,plain,
    ( c0_1(a327)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f690,plain,
    ( spl0_115
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f73,f332,f688]) ).

fof(f696,definition,
    ( spl0_117
  <=> c3_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f697,plain,
    ( c3_1(a330)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f698,plain,
    ( spl0_117
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f71,f320,f696]) ).

fof(f704,definition,
    ( spl0_119
  <=> c0_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f706,plain,
    ( spl0_119
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f69,f261,f704]) ).

fof(f708,definition,
    ( spl0_120
  <=> c3_1(a345) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f709,plain,
    ( c3_1(a345)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f710,plain,
    ( spl0_120
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f68,f316,f708]) ).

fof(f712,definition,
    ( spl0_121
  <=> c0_1(a345) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f714,plain,
    ( spl0_121
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f67,f316,f712]) ).

fof(f724,definition,
    ( spl0_124
  <=> c3_1(a347) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f725,plain,
    ( c3_1(a347)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f726,plain,
    ( spl0_124
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f64,f298,f724]) ).

fof(f728,definition,
    ( spl0_125
  <=> c2_1(a347) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f730,plain,
    ( spl0_125
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f63,f298,f728]) ).

fof(f732,definition,
    ( spl0_126
  <=> c0_1(a348) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f733,plain,
    ( c0_1(a348)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f734,plain,
    ( spl0_126
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f62,f340,f732]) ).

fof(f736,definition,
    ( spl0_127
  <=> c3_1(a349) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f737,plain,
    ( c3_1(a349)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f738,plain,
    ( spl0_127
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f61,f410,f736]) ).

fof(f740,definition,
    ( spl0_128
  <=> c1_1(a349) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f742,plain,
    ( spl0_128
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f60,f410,f740]) ).

fof(f744,definition,
    ( spl0_129
  <=> c2_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f746,plain,
    ( spl0_129
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f59,f294,f744]) ).

fof(f748,definition,
    ( spl0_130
  <=> c1_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f750,plain,
    ( spl0_130
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f58,f294,f748]) ).

fof(f768,definition,
    ( spl0_135
  <=> c3_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f769,plain,
    ( c3_1(a359)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f770,plain,
    ( spl0_135
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f53,f371,f768]) ).

fof(f772,definition,
    ( spl0_136
  <=> c3_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f773,plain,
    ( c3_1(a367)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f774,plain,
    ( spl0_136
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f52,f278,f772]) ).

fof(f784,definition,
    ( spl0_139
  <=> c1_1(a401) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f786,plain,
    ( spl0_139
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f49,f414,f784]) ).

fof(f788,definition,
    ( spl0_140
  <=> c0_1(a419) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f789,plain,
    ( c0_1(a419)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f790,plain,
    ( spl0_140
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f48,f649,f788]) ).

fof(f792,definition,
    ( spl0_141
  <=> c3_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f793,plain,
    ( c3_1(a333)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f795,plain,
    ( spl0_141
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f47,f351,f792]) ).

fof(f797,definition,
    ( spl0_142
  <=> c1_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f799,plain,
    ( spl0_142
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f46,f351,f797]) ).

fof(f801,definition,
    ( spl0_143
  <=> c0_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f802,plain,
    ( c0_1(a333)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f803,plain,
    ( spl0_143
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f45,f351,f801]) ).

fof(f805,definition,
    ( spl0_144
  <=> c3_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f806,plain,
    ( c3_1(a341)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f808,plain,
    ( spl0_144
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f44,f380,f805]) ).

fof(f810,definition,
    ( spl0_145
  <=> c2_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f812,plain,
    ( spl0_145
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f43,f380,f810]) ).

fof(f814,definition,
    ( spl0_146
  <=> c1_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f816,plain,
    ( spl0_146
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f42,f380,f814]) ).

fof(f818,definition,
    ( spl0_147
  <=> c2_1(a343) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f821,plain,
    ( spl0_147
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f41,f355,f818]) ).

fof(f823,definition,
    ( spl0_148
  <=> c1_1(a343) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f825,plain,
    ( spl0_148
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f40,f355,f823]) ).

fof(f827,definition,
    ( spl0_149
  <=> c0_1(a343) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f828,plain,
    ( c0_1(a343)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f829,plain,
    ( spl0_149
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f39,f355,f827]) ).

fof(f834,plain,
    ( spl0_29
    | spl0_28
    | spl0_34 ),
    inference(avatar_split_clause,[],[f35,f316,f294,f298]) ).

fof(f855,plain,
    ( spl0_3
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f15,f410,f204]) ).

fof(f864,plain,
    ( spl0_3
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f6,f649,f204]) ).

fof(f868,plain,
    ( spl0_35
    | spl0_57 ),
    inference(avatar_split_clause,[],[f2,f414,f320]) ).

fof(f869,plain,
    ( spl0_56
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1,f649,f410]) ).

fof(f873,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(resolution,[],[f202,f199]) ).

fof(f874,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f873]) ).

fof(f875,plain,
    ( c2_1(a325)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_111 ),
    inference(resolution,[],[f874,f673]) ).

fof(f876,plain,
    ( c2_1(a419)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_140 ),
    inference(resolution,[],[f874,f789]) ).

fof(f880,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_69
    | ~ spl0_111 ),
    inference(resolution,[],[f875,f485]) ).

fof(f881,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_69
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f880]) ).

fof(f883,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f215,f199]) ).

fof(f884,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f883]) ).

fof(f885,plain,
    ( spl0_23
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f884,f214,f198,f274]) ).

fof(f891,plain,
    ( c2_1(a332)
    | ~ c1_1(a332)
    | ~ spl0_8
    | spl0_78 ),
    inference(resolution,[],[f222,f526]) ).

fof(f895,definition,
    ( spl0_150
  <=> c1_1(a332) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f898,plain,
    ( ~ spl0_150
    | spl0_77
    | ~ spl0_8
    | spl0_78 ),
    inference(avatar_split_clause,[],[f891,f525,f221,f521,f895]) ).

fof(f923,plain,
    ( c1_1(a330)
    | ~ c2_1(a330)
    | ~ spl0_14
    | ~ spl0_117 ),
    inference(resolution,[],[f243,f697]) ).

fof(f929,definition,
    ( spl0_152
  <=> c2_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f942,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(resolution,[],[f257,f247]) ).

fof(f944,plain,
    ( c2_1(a367)
    | c0_1(a367)
    | ~ spl0_18
    | ~ spl0_136 ),
    inference(resolution,[],[f257,f773]) ).

fof(f945,plain,
    ( c2_1(a330)
    | c0_1(a330)
    | ~ spl0_18
    | ~ spl0_117 ),
    inference(resolution,[],[f257,f697]) ).

fof(f948,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f942]) ).

fof(f953,definition,
    ( spl0_153
  <=> c0_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f957,plain,
    ( spl0_106
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f876,f788,f201,f198,f652]) ).

fof(f974,plain,
    ( c1_1(a347)
    | ~ c2_1(a347)
    | ~ spl0_14
    | ~ spl0_124 ),
    inference(resolution,[],[f725,f243]) ).

fof(f982,plain,
    ( ~ spl0_125
    | spl0_88
    | ~ spl0_14
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f974,f724,f242,f571,f728]) ).

fof(f983,plain,
    ( spl0_75
    | spl0_152
    | ~ spl0_18
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f945,f696,f256,f929,f512]) ).

fof(f985,plain,
    ( ~ c0_1(a348)
    | c2_1(a348)
    | ~ spl0_1
    | spl0_89 ),
    inference(resolution,[],[f577,f199]) ).

fof(f987,definition,
    ( spl0_155
  <=> c2_1(a348) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f990,plain,
    ( spl0_155
    | ~ spl0_126
    | ~ spl0_1
    | spl0_89 ),
    inference(avatar_split_clause,[],[f985,f576,f198,f732,f987]) ).

fof(f1001,definition,
    ( spl0_157
  <=> c2_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1009,plain,
    ( c2_1(a349)
    | ~ c0_1(a349)
    | ~ spl0_2
    | ~ spl0_127 ),
    inference(resolution,[],[f202,f737]) ).

fof(f1015,definition,
    ( spl0_158
  <=> c0_1(a349) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1021,plain,
    ( ~ c2_1(a343)
    | ~ c1_1(a343)
    | ~ spl0_7
    | ~ spl0_149 ),
    inference(resolution,[],[f218,f828]) ).

fof(f1022,plain,
    ( ~ c2_1(a333)
    | ~ c1_1(a333)
    | ~ spl0_7
    | ~ spl0_143 ),
    inference(resolution,[],[f218,f802]) ).

fof(f1033,plain,
    ( ~ spl0_148
    | ~ spl0_147
    | ~ spl0_7
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1021,f827,f217,f818,f823]) ).

fof(f1035,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f212,f199]) ).

fof(f1042,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(duplicate_literal_removal,[],[f1035]) ).

fof(f1043,plain,
    ( spl0_11
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1042,f211,f198,f232]) ).

fof(f1062,plain,
    ( c2_1(a345)
    | ~ c0_1(a345)
    | ~ spl0_2
    | ~ spl0_120 ),
    inference(resolution,[],[f709,f202]) ).

fof(f1065,plain,
    ( ~ spl0_121
    | spl0_86
    | ~ spl0_2
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1062,f708,f201,f561,f712]) ).

fof(f1075,definition,
    ( spl0_160
  <=> c2_1(a327) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1084,plain,
    ( c2_1(a419)
    | c1_1(a419)
    | ~ spl0_11
    | ~ spl0_140 ),
    inference(resolution,[],[f233,f789]) ).

fof(f1085,plain,
    ( c2_1(a348)
    | c1_1(a348)
    | ~ spl0_11
    | ~ spl0_126 ),
    inference(resolution,[],[f233,f733]) ).

fof(f1090,plain,
    ( spl0_90
    | spl0_155
    | ~ spl0_11
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1085,f732,f232,f987,f580]) ).

fof(f1096,plain,
    ( c1_1(a330)
    | ~ c2_1(a330)
    | ~ spl0_12
    | spl0_75 ),
    inference(resolution,[],[f237,f513]) ).

fof(f1107,plain,
    ( ~ spl0_152
    | spl0_74
    | ~ spl0_12
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1096,f512,f236,f508,f929]) ).

fof(f1114,plain,
    ( spl0_8
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f948,f256,f246,f221]) ).

fof(f1118,plain,
    ( ~ c1_1(a327)
    | ~ c2_1(a327)
    | ~ spl0_9
    | spl0_71 ),
    inference(resolution,[],[f225,f495]) ).

fof(f1126,plain,
    ( c2_1(a401)
    | ~ c1_1(a401)
    | ~ spl0_8
    | spl0_104 ),
    inference(resolution,[],[f222,f646]) ).

fof(f1136,plain,
    ( ~ spl0_139
    | spl0_103
    | ~ spl0_8
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1126,f645,f221,f641,f784]) ).

fof(f1153,plain,
    ( c1_1(a348)
    | ~ c2_1(a348)
    | ~ spl0_16
    | ~ spl0_126 ),
    inference(resolution,[],[f250,f733]) ).

fof(f1157,plain,
    ( ~ spl0_155
    | spl0_90
    | ~ spl0_16
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1153,f732,f249,f580,f987]) ).

fof(f1158,plain,
    ( ~ spl0_152
    | spl0_74
    | ~ spl0_14
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f923,f696,f242,f508,f929]) ).

fof(f1164,plain,
    ( ~ c0_1(a333)
    | ~ c2_1(a333)
    | ~ spl0_4
    | ~ spl0_141 ),
    inference(resolution,[],[f208,f793]) ).

fof(f1170,plain,
    ( ~ spl0_157
    | ~ spl0_143
    | ~ spl0_4
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1164,f792,f207,f801,f1001]) ).

fof(f1171,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(resolution,[],[f225,f208]) ).

fof(f1176,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f1171]) ).

fof(f1177,plain,
    ( spl0_7
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1176,f224,f207,f217]) ).

fof(f1180,plain,
    ( ~ spl0_142
    | ~ spl0_157
    | ~ spl0_7
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1022,f801,f217,f1001,f797]) ).

fof(f1183,plain,
    ( spl0_153
    | spl0_100
    | ~ spl0_18
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f944,f772,f256,f627,f953]) ).

fof(f1188,plain,
    ( c2_1(a333)
    | ~ c1_1(a333)
    | ~ spl0_6
    | ~ spl0_141 ),
    inference(resolution,[],[f215,f793]) ).

fof(f1191,plain,
    ( c2_1(a349)
    | ~ c1_1(a349)
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(resolution,[],[f215,f737]) ).

fof(f1198,plain,
    ( ~ spl0_128
    | spl0_91
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1191,f736,f214,f585,f740]) ).

fof(f1200,plain,
    ( ~ spl0_142
    | spl0_157
    | ~ spl0_6
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1188,f792,f214,f1001,f797]) ).

fof(f1204,plain,
    ( ~ c0_1(a327)
    | c2_1(a327)
    | ~ spl0_1
    | spl0_71 ),
    inference(resolution,[],[f495,f199]) ).

fof(f1205,plain,
    ( spl0_160
    | ~ spl0_115
    | ~ spl0_1
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1204,f494,f198,f688,f1075]) ).

fof(f1232,plain,
    ( ~ c0_1(a333)
    | ~ c1_1(a333)
    | ~ spl0_20
    | ~ spl0_141 ),
    inference(resolution,[],[f265,f793]) ).

fof(f1241,plain,
    ( ~ spl0_142
    | ~ spl0_143
    | ~ spl0_20
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1232,f792,f264,f801,f797]) ).

fof(f1263,plain,
    ( ~ c0_1(a337)
    | c2_1(a337)
    | ~ spl0_1
    | spl0_81 ),
    inference(resolution,[],[f540,f199]) ).

fof(f1266,plain,
    ( spl0_82
    | ~ spl0_119
    | ~ spl0_1
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1263,f539,f198,f704,f543]) ).

fof(f1273,plain,
    ( ~ c1_1(a332)
    | c0_1(a332)
    | ~ spl0_15
    | spl0_76 ),
    inference(resolution,[],[f247,f518]) ).

fof(f1277,definition,
    ( spl0_163
  <=> c1_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1296,plain,
    ( c2_1(a333)
    | ~ c1_1(a333)
    | ~ spl0_23
    | ~ spl0_143 ),
    inference(resolution,[],[f275,f802]) ).

fof(f1299,plain,
    ( c2_1(a327)
    | ~ c1_1(a327)
    | ~ spl0_23
    | ~ spl0_115 ),
    inference(resolution,[],[f275,f689]) ).

fof(f1300,plain,
    ( c2_1(a325)
    | ~ c1_1(a325)
    | ~ spl0_23
    | ~ spl0_111 ),
    inference(resolution,[],[f275,f673]) ).

fof(f1302,plain,
    ( ~ spl0_110
    | spl0_69
    | ~ spl0_23
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1300,f672,f274,f484,f668]) ).

fof(f1303,plain,
    ( ~ spl0_114
    | spl0_160
    | ~ spl0_23
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1299,f688,f274,f1075,f684]) ).

fof(f1304,plain,
    ( ~ spl0_142
    | spl0_157
    | ~ spl0_23
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1296,f801,f274,f1001,f797]) ).

fof(f1316,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(resolution,[],[f268,f247]) ).

fof(f1318,plain,
    ( ~ c1_1(a341)
    | ~ c2_1(a341)
    | ~ spl0_21
    | ~ spl0_144 ),
    inference(resolution,[],[f268,f806]) ).

fof(f1323,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f1316]) ).

fof(f1324,plain,
    ( ~ spl0_145
    | ~ spl0_146
    | ~ spl0_21
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1318,f805,f267,f814,f810]) ).

fof(f1325,plain,
    ( spl0_41
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f1323,f267,f246,f343]) ).

fof(f1326,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(resolution,[],[f290,f268]) ).

fof(f1331,plain,
    ( ~ c0_1(a337)
    | ~ c1_1(a337)
    | ~ spl0_27
    | spl0_81 ),
    inference(resolution,[],[f290,f540]) ).

fof(f1332,plain,
    ( ~ c0_1(a327)
    | ~ c1_1(a327)
    | ~ spl0_27
    | spl0_71 ),
    inference(resolution,[],[f290,f495]) ).

fof(f1337,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f1326]) ).

fof(f1338,plain,
    ( ~ spl0_114
    | ~ spl0_115
    | ~ spl0_27
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1332,f494,f289,f688,f684]) ).

fof(f1339,plain,
    ( ~ spl0_163
    | ~ spl0_119
    | ~ spl0_27
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1331,f539,f289,f704,f1277]) ).

fof(f1341,plain,
    ( spl0_7
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1337,f289,f267,f217]) ).

fof(f1356,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_33 ),
    inference(resolution,[],[f313,f268]) ).

fof(f1367,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_21
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f1356]) ).

fof(f1373,plain,
    ( spl0_7
    | ~ spl0_21
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f1367,f312,f267,f217]) ).

fof(f1379,plain,
    ( spl0_107
    | spl0_106
    | ~ spl0_11
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1084,f788,f232,f652,f656]) ).

fof(f1403,plain,
    ( ~ c1_1(a333)
    | ~ c2_1(a333)
    | ~ spl0_21
    | ~ spl0_141 ),
    inference(resolution,[],[f793,f268]) ).

fof(f1404,plain,
    ( ~ spl0_157
    | ~ spl0_142
    | ~ spl0_21
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1403,f792,f267,f797,f1001]) ).

fof(f1409,plain,
    ( c2_1(a367)
    | c1_1(a367)
    | ~ spl0_5
    | ~ spl0_136 ),
    inference(resolution,[],[f212,f773]) ).

fof(f1411,plain,
    ( c2_1(a330)
    | c1_1(a330)
    | ~ spl0_5
    | ~ spl0_117 ),
    inference(resolution,[],[f212,f697]) ).

fof(f1413,plain,
    ( spl0_74
    | spl0_152
    | ~ spl0_5
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1411,f696,f211,f929,f508]) ).

fof(f1415,plain,
    ( spl0_101
    | spl0_100
    | ~ spl0_5
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1409,f772,f211,f627,f631]) ).

fof(f1422,plain,
    ( c0_1(a349)
    | ~ c1_1(a349)
    | ~ spl0_10
    | ~ spl0_127 ),
    inference(resolution,[],[f230,f737]) ).

fof(f1425,plain,
    ( ~ spl0_128
    | spl0_158
    | ~ spl0_10
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1422,f736,f229,f1015,f740]) ).

fof(f1443,plain,
    ( c1_1(a367)
    | ~ c0_1(a367)
    | ~ spl0_13
    | ~ spl0_136 ),
    inference(resolution,[],[f240,f773]) ).

fof(f1448,plain,
    ( ~ spl0_153
    | spl0_101
    | ~ spl0_13
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1443,f772,f239,f631,f953]) ).

fof(f1457,plain,
    ( c1_1(a330)
    | c0_1(a330)
    | ~ spl0_36
    | ~ spl0_117 ),
    inference(resolution,[],[f324,f697]) ).

fof(f1459,plain,
    ( spl0_75
    | spl0_74
    | ~ spl0_36
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1457,f696,f323,f508,f512]) ).

fof(f1466,plain,
    ( ~ c2_1(a348)
    | c1_1(a348)
    | ~ spl0_37
    | spl0_89 ),
    inference(resolution,[],[f329,f577]) ).

fof(f1482,plain,
    ( spl0_90
    | ~ spl0_155
    | ~ spl0_37
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1466,f576,f328,f987,f580]) ).

fof(f1486,plain,
    ( ~ c1_1(a353)
    | ~ c2_1(a353)
    | ~ spl0_41
    | spl0_92 ),
    inference(resolution,[],[f344,f591]) ).

fof(f1496,plain,
    ( ~ spl0_129
    | ~ spl0_130
    | ~ spl0_41
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1486,f590,f343,f748,f744]) ).

fof(f1505,plain,
    ( ~ c1_1(a337)
    | c2_1(a337)
    | ~ spl0_17
    | spl0_81 ),
    inference(resolution,[],[f253,f540]) ).

fof(f1513,plain,
    ( spl0_82
    | ~ spl0_163
    | ~ spl0_17
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1505,f539,f252,f1277,f543]) ).

fof(f1520,plain,
    ( c2_1(a349)
    | c0_1(a349)
    | ~ spl0_18
    | ~ spl0_127 ),
    inference(resolution,[],[f257,f737]) ).

fof(f1557,plain,
    ( c0_1(a332)
    | c1_1(a332)
    | ~ spl0_45
    | spl0_76 ),
    inference(resolution,[],[f363,f518]) ).

fof(f1580,plain,
    ( c1_1(a348)
    | c2_1(a348)
    | ~ spl0_48
    | spl0_89 ),
    inference(resolution,[],[f375,f577]) ).

fof(f1582,plain,
    ( c1_1(a337)
    | c2_1(a337)
    | ~ spl0_48
    | spl0_81 ),
    inference(resolution,[],[f375,f540]) ).

fof(f1585,plain,
    ( c1_1(a332)
    | c2_1(a332)
    | ~ spl0_48
    | spl0_76 ),
    inference(resolution,[],[f375,f518]) ).

fof(f1595,plain,
    ( c2_1(a359)
    | ~ c1_1(a359)
    | ~ spl0_8
    | spl0_99 ),
    inference(resolution,[],[f623,f222]) ).

fof(f1597,definition,
    ( spl0_167
  <=> c1_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1600,plain,
    ( ~ spl0_167
    | spl0_98
    | ~ spl0_8
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1595,f622,f221,f618,f1597]) ).

fof(f1601,plain,
    ( c2_1(a359)
    | c0_1(a359)
    | ~ spl0_18
    | ~ spl0_135 ),
    inference(resolution,[],[f769,f257]) ).

fof(f1604,plain,
    ( c2_1(a359)
    | c1_1(a359)
    | ~ spl0_5
    | ~ spl0_135 ),
    inference(resolution,[],[f769,f212]) ).

fof(f1607,plain,
    ( spl0_167
    | spl0_98
    | ~ spl0_5
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1604,f768,f211,f618,f1597]) ).

fof(f1610,plain,
    ( spl0_99
    | spl0_98
    | ~ spl0_18
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1601,f768,f256,f618,f622]) ).

fof(f1612,plain,
    ( ~ spl0_158
    | spl0_91
    | ~ spl0_2
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1009,f736,f201,f585,f1015]) ).

fof(f1613,plain,
    ( ~ spl0_160
    | ~ spl0_114
    | ~ spl0_9
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1118,f494,f224,f684,f1075]) ).

fof(f1624,plain,
    ( spl0_150
    | spl0_78
    | ~ spl0_45
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1557,f517,f362,f525,f895]) ).

fof(f1625,plain,
    ( spl0_77
    | spl0_150
    | ~ spl0_48
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1585,f517,f374,f895,f521]) ).

fof(f1627,plain,
    ( spl0_155
    | spl0_90
    | ~ spl0_48
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1580,f576,f374,f580,f987]) ).

fof(f1628,plain,
    ( spl0_82
    | spl0_163
    | ~ spl0_48
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1582,f539,f374,f1277,f543]) ).

fof(f1629,plain,
    ( spl0_158
    | spl0_91
    | ~ spl0_18
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1520,f736,f256,f585,f1015]) ).

fof(f1641,plain,
    ( spl0_78
    | ~ spl0_150
    | ~ spl0_15
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1273,f517,f246,f895,f525]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f209]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f219]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f226]) ).

cnf(s4,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(sat_conversion,[],[f227]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f244]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f254]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_14
    | spl0_18 ),
    inference(sat_conversion,[],[f258]) ).

cnf(s9,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_8
    | spl0_16 ),
    inference(sat_conversion,[],[f259]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f269]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_21
    | spl0_24 ),
    inference(sat_conversion,[],[f280]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f291]) ).

cnf(s15,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_7
    | spl0_19 ),
    inference(sat_conversion,[],[f292]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_16
    | spl0_34 ),
    inference(sat_conversion,[],[f318]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f334]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f345]) ).

cnf(s28,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_15
    | spl0_43 ),
    inference(sat_conversion,[],[f353]) ).

cnf(s29,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_18
    | spl0_44 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_38
    | spl0_41 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_35
    | spl0_45 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f376]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_18
    | spl0_35 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s42,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_36
    | spl0_43 ),
    inference(sat_conversion,[],[f391]) ).

cnf(s43,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_34
    | spl0_48 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_21
    | spl0_55 ),
    inference(sat_conversion,[],[f408]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_28
    | spl0_57 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_33
    | spl0_55 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_44 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s61,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_26
    | spl0_55 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s62,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_44
    | spl0_49 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s63,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_40 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s64,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_24
    | spl0_35 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s67,plain,
    ( ~ spl0_3
    | spl0_40
    | spl0_48
    | spl0_56 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s68,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_38
    | spl0_48 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s79,plain,
    ( ~ spl0_55
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s81,plain,
    ( ~ spl0_38
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s84,plain,
    ( ~ spl0_35
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s85,plain,
    ( ~ spl0_35
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s86,plain,
    ( ~ spl0_26
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s87,plain,
    ( ~ spl0_26
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s88,plain,
    ( ~ spl0_26
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s91,plain,
    ( ~ spl0_19
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s92,plain,
    ( ~ spl0_19
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s96,plain,
    ( ~ spl0_34
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s98,plain,
    ( ~ spl0_29
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s99,plain,
    ( ~ spl0_40
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s100,plain,
    ( ~ spl0_40
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f582]) ).

cnf(s101,plain,
    ( ~ spl0_56
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s102,plain,
    ( ~ spl0_28
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f592]) ).

cnf(s108,plain,
    ( ~ spl0_47
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s109,plain,
    ( ~ spl0_47
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s110,plain,
    ( ~ spl0_24
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s111,plain,
    ( ~ spl0_24
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s113,plain,
    ( ~ spl0_57
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s114,plain,
    ( ~ spl0_57
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s115,plain,
    ( ~ spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s116,plain,
    ( ~ spl0_105
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s119,plain,
    ( ~ spl0_55
    | spl0_110 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s120,plain,
    ( ~ spl0_55
    | spl0_111 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s123,plain,
    ( ~ spl0_38
    | spl0_114 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s124,plain,
    ( ~ spl0_38
    | spl0_115 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s126,plain,
    ( ~ spl0_35
    | spl0_117 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s128,plain,
    ( ~ spl0_19
    | spl0_119 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s129,plain,
    ( ~ spl0_34
    | spl0_120 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s130,plain,
    ( ~ spl0_34
    | spl0_121 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s133,plain,
    ( ~ spl0_29
    | spl0_124 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s134,plain,
    ( ~ spl0_29
    | spl0_125 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s135,plain,
    ( ~ spl0_40
    | spl0_126 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s136,plain,
    ( ~ spl0_56
    | spl0_127 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s137,plain,
    ( ~ spl0_56
    | spl0_128 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s138,plain,
    ( ~ spl0_28
    | spl0_129 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s139,plain,
    ( ~ spl0_28
    | spl0_130 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s144,plain,
    ( ~ spl0_47
    | spl0_135 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s145,plain,
    ( ~ spl0_24
    | spl0_136 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s148,plain,
    ( ~ spl0_57
    | spl0_139 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s149,plain,
    ( ~ spl0_105
    | spl0_140 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s150,plain,
    ( ~ spl0_43
    | spl0_141 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s151,plain,
    ( ~ spl0_43
    | spl0_142 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s152,plain,
    ( ~ spl0_43
    | spl0_143 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s153,plain,
    ( ~ spl0_49
    | spl0_144 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s154,plain,
    ( ~ spl0_49
    | spl0_145 ),
    inference(sat_conversion,[],[f812]) ).

cnf(s155,plain,
    ( ~ spl0_49
    | spl0_146 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s156,plain,
    ( ~ spl0_44
    | spl0_147 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s157,plain,
    ( ~ spl0_44
    | spl0_148 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s158,plain,
    ( ~ spl0_44
    | spl0_149 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s162,plain,
    ( spl0_28
    | spl0_29
    | spl0_34 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s182,plain,
    ( spl0_3
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s191,plain,
    ( spl0_3
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s195,plain,
    ( spl0_35
    | spl0_57 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s196,plain,
    ( spl0_56
    | spl0_105 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s197,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_69
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s198,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | spl0_23 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s199,plain,
    ( ~ spl0_8
    | spl0_77
    | spl0_78
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s208,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_106
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f957]) ).

cnf(s216,plain,
    ( ~ spl0_14
    | spl0_88
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f982]) ).

cnf(s217,plain,
    ( ~ spl0_18
    | spl0_75
    | ~ spl0_117
    | spl0_152 ),
    inference(sat_conversion,[],[f983]) ).

cnf(s218,plain,
    ( ~ spl0_1
    | spl0_89
    | ~ spl0_126
    | spl0_155 ),
    inference(sat_conversion,[],[f990]) ).

cnf(s226,plain,
    ( ~ spl0_7
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1033]) ).

cnf(s227,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_11 ),
    inference(sat_conversion,[],[f1043]) ).

cnf(s232,plain,
    ( ~ spl0_2
    | spl0_86
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1065]) ).

cnf(s238,plain,
    ( ~ spl0_11
    | spl0_90
    | ~ spl0_126
    | spl0_155 ),
    inference(sat_conversion,[],[f1090]) ).

cnf(s240,plain,
    ( ~ spl0_12
    | spl0_74
    | spl0_75
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1107]) ).

cnf(s243,plain,
    ( spl0_8
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1114]) ).

cnf(s248,plain,
    ( ~ spl0_8
    | spl0_103
    | spl0_104
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s251,plain,
    ( ~ spl0_16
    | spl0_90
    | ~ spl0_126
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1157]) ).

cnf(s252,plain,
    ( ~ spl0_14
    | spl0_74
    | ~ spl0_117
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1158]) ).

cnf(s256,plain,
    ( ~ spl0_4
    | ~ spl0_141
    | ~ spl0_143
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1170]) ).

cnf(s257,plain,
    ( ~ spl0_4
    | spl0_7
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f1177]) ).

cnf(s261,plain,
    ( ~ spl0_7
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1180]) ).

cnf(s264,plain,
    ( ~ spl0_18
    | spl0_100
    | ~ spl0_136
    | spl0_153 ),
    inference(sat_conversion,[],[f1183]) ).

cnf(s267,plain,
    ( ~ spl0_6
    | spl0_91
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1198]) ).

cnf(s269,plain,
    ( ~ spl0_6
    | ~ spl0_141
    | ~ spl0_142
    | spl0_157 ),
    inference(sat_conversion,[],[f1200]) ).

cnf(s274,plain,
    ( ~ spl0_1
    | spl0_71
    | ~ spl0_115
    | spl0_160 ),
    inference(sat_conversion,[],[f1205]) ).

cnf(s278,plain,
    ( ~ spl0_20
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1241]) ).

cnf(s285,plain,
    ( ~ spl0_1
    | spl0_81
    | spl0_82
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1266]) ).

cnf(s293,plain,
    ( ~ spl0_23
    | spl0_69
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f1302]) ).

cnf(s294,plain,
    ( ~ spl0_23
    | ~ spl0_114
    | ~ spl0_115
    | spl0_160 ),
    inference(sat_conversion,[],[f1303]) ).

cnf(s295,plain,
    ( ~ spl0_23
    | ~ spl0_142
    | ~ spl0_143
    | spl0_157 ),
    inference(sat_conversion,[],[f1304]) ).

cnf(s300,plain,
    ( ~ spl0_21
    | ~ spl0_144
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1324]) ).

cnf(s301,plain,
    ( ~ spl0_15
    | ~ spl0_21
    | spl0_41 ),
    inference(sat_conversion,[],[f1325]) ).

cnf(s302,plain,
    ( ~ spl0_27
    | spl0_71
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1338]) ).

cnf(s303,plain,
    ( ~ spl0_27
    | spl0_81
    | ~ spl0_119
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1339]) ).

cnf(s305,plain,
    ( spl0_7
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f1341]) ).

cnf(s312,plain,
    ( spl0_7
    | ~ spl0_21
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f1373]) ).

cnf(s319,plain,
    ( ~ spl0_11
    | spl0_106
    | spl0_107
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1379]) ).

cnf(s331,plain,
    ( ~ spl0_21
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1404]) ).

cnf(s332,plain,
    ( ~ spl0_5
    | spl0_74
    | ~ spl0_117
    | spl0_152 ),
    inference(sat_conversion,[],[f1413]) ).

cnf(s333,plain,
    ( ~ spl0_5
    | spl0_100
    | spl0_101
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1415]) ).

cnf(s336,plain,
    ( ~ spl0_10
    | ~ spl0_127
    | ~ spl0_128
    | spl0_158 ),
    inference(sat_conversion,[],[f1425]) ).

cnf(s339,plain,
    ( ~ spl0_13
    | spl0_101
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1448]) ).

cnf(s341,plain,
    ( ~ spl0_36
    | spl0_74
    | spl0_75
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1459]) ).

cnf(s345,plain,
    ( ~ spl0_37
    | spl0_89
    | spl0_90
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1482]) ).

cnf(s348,plain,
    ( ~ spl0_41
    | spl0_92
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1496]) ).

cnf(s350,plain,
    ( ~ spl0_17
    | spl0_81
    | spl0_82
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1513]) ).

cnf(s366,plain,
    ( ~ spl0_8
    | spl0_98
    | spl0_99
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1600]) ).

cnf(s367,plain,
    ( ~ spl0_5
    | spl0_98
    | ~ spl0_135
    | spl0_167 ),
    inference(sat_conversion,[],[f1607]) ).

cnf(s369,plain,
    ( ~ spl0_18
    | spl0_98
    | spl0_99
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1610]) ).

cnf(s371,plain,
    ( ~ spl0_2
    | spl0_91
    | ~ spl0_127
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1612]) ).

cnf(s372,plain,
    ( ~ spl0_9
    | spl0_71
    | ~ spl0_114
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1613]) ).

cnf(s385,plain,
    ( ~ spl0_45
    | spl0_76
    | spl0_78
    | spl0_150 ),
    inference(sat_conversion,[],[f1624]) ).

cnf(s386,plain,
    ( ~ spl0_48
    | spl0_76
    | spl0_77
    | spl0_150 ),
    inference(sat_conversion,[],[f1625]) ).

cnf(s389,plain,
    ( ~ spl0_48
    | spl0_89
    | spl0_90
    | spl0_155 ),
    inference(sat_conversion,[],[f1627]) ).

cnf(s390,plain,
    ( ~ spl0_48
    | spl0_81
    | spl0_82
    | spl0_163 ),
    inference(sat_conversion,[],[f1628]) ).

cnf(s391,plain,
    ( ~ spl0_18
    | spl0_91
    | ~ spl0_127
    | spl0_158 ),
    inference(sat_conversion,[],[f1629]) ).

cnf(s403,plain,
    ( ~ spl0_15
    | spl0_76
    | spl0_78
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1641]) ).

cnf(s407,plain,
    spl0_3,
    inference(rat,[],[s196,s182,s191]) ).

cnf(s408,plain,
    ( spl0_6
    | spl0_5 ),
    inference(rat,[],[s226,s156,s157,s158,s2,s60,s407]) ).

cnf(s409,plain,
    ( ~ spl0_44
    | ~ spl0_7 ),
    inference(rat,[],[s226,s156,s157,s158]) ).

cnf(s410,plain,
    ( ~ spl0_43
    | ~ spl0_7
    | ~ spl0_6 ),
    inference(rat,[],[s269,s261,s150,s151,s152]) ).

cnf(s411,plain,
    ( ~ spl0_35
    | spl0_21
    | ~ spl0_18 ),
    inference(rat,[],[s264,s339,s110,s111,s145,s6,s12,s240,s252,s217,s84,s85,s126,s407]) ).

cnf(s412,plain,
    ( ~ spl0_7
    | ~ spl0_6
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s248,s113,s114,s148,s195,s411,s243,s28,s410,s300,s153,s154,s155,s29,s62,s409,s407]) ).

cnf(s414,plain,
    ( ~ spl0_57
    | ~ spl0_8 ),
    inference(rat,[],[s248,s113,s114,s148]) ).

cnf(s415,plain,
    ( ~ spl0_43
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s269,s256,s150,s151,s152]) ).

cnf(s416,plain,
    ( ~ spl0_56
    | ~ spl0_6 ),
    inference(rat,[],[s267,s101,s136,s137]) ).

cnf(s417,plain,
    ( ~ spl0_6
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s319,s115,s116,s149,s196,s416,s42,s415,s341,s84,s85,s126,s195,s414,s3,s257,s412,s1,s407]) ).

cnf(s418,plain,
    ( ~ spl0_24
    | ~ spl0_5 ),
    inference(rat,[],[s333,s110,s111,s145]) ).

cnf(s419,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s366,s367,s108,s109,s144,s36,s386,s199,s86,s87,s88,s14,s295,s256,s150,s151,s152,s28,s301,s12,s418,s302,s81,s123,s124,s32,s240,s252,s348,s332,s102,s138,s139,s84,s85,s126,s49,s195,s414,s3,s257,s409,s408,s60,s417,s1,s407]) ).

cnf(s420,plain,
    ( ~ spl0_34
    | ~ spl0_2 ),
    inference(rat,[],[s232,s96,s129,s130]) ).

cnf(s421,plain,
    ( spl0_26
    | spl0_27
    | spl0_1 ),
    inference(rat,[],[s293,s79,s119,s120,s14,s61,s407]) ).

cnf(s422,plain,
    ( ~ spl0_40
    | ~ spl0_16
    | ~ spl0_48 ),
    inference(rat,[],[s389,s251,s99,s100,s135]) ).

cnf(s423,plain,
    ( ~ spl0_28
    | ~ spl0_41 ),
    inference(rat,[],[s348,s102,s138,s139]) ).

cnf(s424,plain,
    ( spl0_40
    | spl0_11
    | spl0_34 ),
    inference(rat,[],[s216,s98,s133,s134,s162,s423,s26,s63,s407]) ).

cnf(s425,plain,
    ( ~ spl0_48
    | ~ spl0_19
    | ~ spl0_40
    | spl0_1 ),
    inference(rat,[],[s386,s403,s86,s87,s88,s421,s7,s303,s350,s422,s390,s128,s92,s91,s407]) ).

cnf(s426,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(rat,[],[s331,s269,s12,s150,s151,s252,s42,s332,s341,s84,s85,s126,s64,s418,s319,s115,s116,s149,s196,s416,s407]) ).

cnf(s427,plain,
    ( ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s341,s84,s85,s126,s42,s195,s410,s414,s15,s9,s425,s422,s43,s426,s424,s319,s115,s116,s149,s196,s416,s420,s419,s407]) ).

cnf(s428,plain,
    ( ~ spl0_8
    | spl0_48
    | spl0_6 ),
    inference(rat,[],[s366,s367,s108,s109,s144,s36,s305,s12,s252,s332,s84,s126,s195,s414,s409,s60,s418,s408,s407]) ).

cnf(s429,plain,
    ( spl0_14
    | ~ spl0_16
    | spl0_48
    | spl0_6 ),
    inference(rat,[],[s369,s8,s108,s109,s144,s238,s36,s251,s305,s100,s135,s12,s63,s409,s60,s418,s408,s407]) ).

cnf(s430,plain,
    ( ~ spl0_117
    | spl0_74
    | ~ spl0_14
    | ~ spl0_5 ),
    inference(rat,[],[s252,s332]) ).

cnf(s432,plain,
    ( ~ spl0_26
    | ~ spl0_15
    | ~ spl0_45 ),
    inference(rat,[],[s403,s385,s86,s88]) ).

cnf(s434,plain,
    ( ~ spl0_38
    | ~ spl0_27 ),
    inference(rat,[],[s302,s81,s123,s124]) ).

cnf(s435,plain,
    ( ~ spl0_29
    | ~ spl0_14 ),
    inference(rat,[],[s216,s98,s133,s134]) ).

cnf(s436,plain,
    ( spl0_35
    | spl0_18
    | ~ spl0_26
    | spl0_4 ),
    inference(rat,[],[s432,s38,s33,s407]) ).

cnf(s437,plain,
    ( ~ spl0_35
    | ~ spl0_14
    | ~ spl0_5 ),
    inference(rat,[],[s430,s84,s126]) ).

cnf(s438,plain,
    ( spl0_48
    | spl0_1 ),
    inference(rat,[],[s436,s369,s437,s108,s109,s144,s36,s421,s434,s68,s435,s429,s257,s9,s3,s428,s408,s409,s60,s427,s407]) ).

cnf(s440,plain,
    ( ~ spl0_105
    | ~ spl0_11 ),
    inference(rat,[],[s319,s115,s116,s149]) ).

cnf(s441,plain,
    spl0_1,
    inference(rat,[],[s391,s371,s101,s136,s196,s440,s38,s403,s386,s86,s87,s88,s421,s437,s303,s424,s63,s390,s425,s438,s91,s92,s128,s15,s409,s408,s60,s427,s420,s419,s407]) ).

cnf(s442,plain,
    ~ spl0_19,
    inference(rat,[],[s285,s91,s92,s128,s441]) ).

cnf(s443,plain,
    ( ~ spl0_8
    | spl0_48 ),
    inference(rat,[],[s10,s331,s269,s278,s150,s151,s152,s42,s440,s341,s196,s84,s85,s126,s416,s195,s428,s414,s407,s442]) ).

cnf(s444,plain,
    ( ~ spl0_6
    | spl0_48 ),
    inference(rat,[],[s3,s409,s372,s29,s294,s243,s81,s123,s124,s28,s24,s415,s345,s251,s4,s218,s420,s99,s100,s135,s43,s67,s426,s416,s198,s443,s407,s441]) ).

cnf(s445,plain,
    spl0_48,
    inference(rat,[],[s372,s274,s81,s123,s124,s68,s435,s429,s20,s336,s371,s420,s101,s136,s137,s4,s196,s257,s440,s3,s227,s409,s408,s60,s444,s443,s441,s407]) ).

cnf(s446,plain,
    ( ~ spl0_6
    | spl0_36 ),
    inference(rat,[],[s10,s331,s269,s278,s150,s151,s152,s42,s440,s196,s416,s407,s442]) ).

cnf(s447,plain,
    ~ spl0_8,
    inference(rat,[],[s386,s199,s86,s87,s88,s14,s293,s79,s119,s120,s53,s305,s312,s12,s437,s418,s409,s408,s60,s446,s341,s84,s85,s126,s195,s414,s445,s407,s442]) ).

cnf(s448,plain,
    ~ spl0_6,
    inference(rat,[],[s257,s3,s409,s29,s243,s28,s415,s4,s208,s115,s149,s196,s416,s447,s407,s441]) ).

cnf(s449,plain,
    spl0_44,
    inference(rat,[],[s60,s407,s448]) ).

cnf(s450,plain,
    spl0_5,
    inference(rat,[],[s408,s448]) ).

cnf(s454,plain,
    ~ spl0_7,
    inference(rat,[],[s409,s449]) ).

cnf(s455,plain,
    spl0_11,
    inference(rat,[],[s227,s441,s450]) ).

cnf(s457,plain,
    spl0_9,
    inference(rat,[],[s3,s407,s447,s454]) ).

cnf(s458,plain,
    ~ spl0_105,
    inference(rat,[],[s440,s455]) ).

cnf(s459,plain,
    ~ spl0_4,
    inference(rat,[],[s257,s454,s457]) ).

cnf(s460,plain,
    spl0_56,
    inference(rat,[],[s196,s458]) ).

cnf(s461,plain,
    spl0_2,
    inference(rat,[],[s4,s407,s447,s459]) ).

cnf(s462,plain,
    spl0_128,
    inference(rat,[],[s137,s460]) ).

cnf(s463,plain,
    spl0_127,
    inference(rat,[],[s136,s460]) ).

cnf(s464,plain,
    ~ spl0_91,
    inference(rat,[],[s101,s460]) ).

cnf(s465,plain,
    ~ spl0_34,
    inference(rat,[],[s420,s461]) ).

cnf(s466,plain,
    ~ spl0_158,
    inference(rat,[],[s371,s464,s463,s461]) ).

cnf(s467,plain,
    ~ spl0_18,
    inference(rat,[],[s391,s463,s464,s466]) ).

cnf(s468,plain,
    ~ spl0_10,
    inference(rat,[],[s336,s463,s462,s466]) ).

cnf(s469,plain,
    spl0_16,
    inference(rat,[],[s20,s465,s407,s468]) ).

cnf(s470,plain,
    ~ spl0_40,
    inference(rat,[],[s422,s445,s469]) ).

cnf(s471,plain,
    spl0_14,
    inference(rat,[],[s63,s407,s470]) ).

cnf(s472,plain,
    ~ spl0_29,
    inference(rat,[],[s435,s471]) ).

cnf(s473,plain,
    ~ spl0_35,
    inference(rat,[],[s437,s450,s471]) ).

cnf(s474,plain,
    spl0_28,
    inference(rat,[],[s162,s465,s472]) ).

cnf(s480,plain,
    spl0_15,
    inference(rat,[],[s38,s467,s407,s473]) ).

cnf(s484,plain,
    ~ spl0_41,
    inference(rat,[],[s423,s474]) ).

cnf(s489,plain,
    ~ spl0_21,
    inference(rat,[],[s301,s480,s484]) ).

cnf(s492,plain,
    spl0_55,
    inference(rat,[],[s47,s407,s442,s489]) ).

cnf(s496,plain,
    spl0_111,
    inference(rat,[],[s120,s492]) ).

cnf(s498,plain,
    ~ spl0_69,
    inference(rat,[],[s79,s492]) ).

cnf(s500,plain,
    $false,
    inference(rat,[],[s197,s461,s441,s496,s498]) ).

fof(f1645,plain,
    $false,
    inference(avatar_sat_refutation,[],[s500]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN506-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n008.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 16:21:10 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running first-order theorem proving
% 0.07/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.05/1.09  % (2373572)Input is clausal, will run a generic CNF schedule.
% 3.05/1.09  % (2373578)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=953953393:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.05/1.09  % (2373581)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2435005628:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.05/1.09  % (2373580)lrs+10_1_sil=8000:sp=occurrence:random_seed=3342590855:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.05/1.09  % (2373582)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1843867092:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.05/1.09  % (2373579)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1218054259:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.05/1.09  % (2373583)dis-21_1_sil=8000:lcm=predicate:random_seed=3424572565:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.05/1.09  % (2373577)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=779170183:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.05/1.09  % (2373583)First to succeed.
% 3.05/1.09  % (2373581)Also succeeded, but the first one will report.
% 3.05/1.09  % (2373583)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2373572"
% 3.05/1.09  % (2373582)Also succeeded, but the first one will report.
% 3.05/1.09  % (2373580)Also succeeded, but the first one will report.
% 3.05/1.09  % (2373583)Refutation found. Thanks to Tanya!
% 3.05/1.09  % SZS status Unsatisfiable for theBenchmark
% 3.05/1.09  % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.28  % (2373583)------------------------------
% 3.59/1.28  % (2373583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.28  % (2373583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.28  % (2373583)CaDiCaL version: 2.1.3
% 3.59/1.28  % (2373583)Termination reason: Refutation
% 3.59/1.28  % (2373583)Time elapsed: 0.022 s
% 3.59/1.28  % (2373583)Peak memory usage: 90 MB
% 3.59/1.28  % (2373583)Instructions burned: 34 (million)
% 3.59/1.28  % (2373583)------------------------------
% 3.59/1.28  % (2373583)------------------------------
% 3.59/1.28  % (2373572)Success in time 0.429 s
% 3.59/1.28  % Vampire exiting
%------------------------------------------------------------------------------