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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN452-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:08:51 PM UTC 2026

% Result   : Unsatisfiable 0.17s 0.30s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :  223
% Syntax   : Number of formulae    :  824 (  32 unt; 126 def)
%            Number of atoms       : 2611 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3043 (1256   ~;1661   |;   0   &)
%                                         ( 126 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  153 ( 152 usr; 149 prp; 0-1 aty)
%            Number of functors    :   21 (  21 usr;  21 con; 0-0 aty)
%            Number of variables   :  176 (   0 sgn 176   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp14
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

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

fof(f7,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

fof(f11,negated_conjecture,
    ( ~ hskp20
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

fof(f32,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f37,negated_conjecture,
    ( hskp7
    | hskp5
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f39,negated_conjecture,
    ( ~ hskp29
    | c1_1(a865) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp29
    | c2_1(a865) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp29
    | c3_1(a865) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp28
    | c0_1(a833) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp28
    | c1_1(a833) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp28
    | c3_1(a833) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f46,negated_conjecture,
    ( ~ hskp27
    | c2_1(a826) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp27
    | c3_1(a826) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp26
    | c0_1(a818) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp26
    | c1_1(a818) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f53,negated_conjecture,
    ( ~ hskp24
    | c1_1(a878) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp23
    | c0_1(a862) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp23
    | c3_1(a862) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp21
    | c0_1(a857) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp20
    | c3_1(a856) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f63,negated_conjecture,
    ( ~ hskp14
    | c0_1(a842) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp14
    | c1_1(a842) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp13
    | c1_1(a839) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp13
    | c3_1(a839) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f73,negated_conjecture,
    ( ~ hskp9
    | c3_1(a831) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp7
    | c0_1(a828) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp6
    | c1_1(a827) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp6
    | c2_1(a827) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp5
    | c1_1(a825) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp5
    | c3_1(a825) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp4
    | c2_1(a821) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp3
    | c0_1(a820) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp2
    | c2_1(a817) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp1
    | c0_1(a816) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp1
    | c3_1(a816) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp0
    | c0_1(a815) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp0
    | c1_1(a815) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f87,negated_conjecture,
    ( ~ c0_1(a878)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c3_1(a878)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c1_1(a862)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c0_1(a860)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ c1_1(a860)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ c2_1(a860)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c2_1(a857)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c3_1(a857)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c1_1(a856)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c2_1(a856)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f107,negated_conjecture,
    ( ~ c2_1(a842)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c2_1(a839)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f112,negated_conjecture,
    ( ~ c0_1(a831)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c1_1(a831)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c0_1(a830)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c2_1(a830)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c3_1(a830)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c1_1(a828)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c2_1(a828)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c0_1(a827)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c0_1(a825)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c0_1(a821)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c1_1(a821)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c1_1(a820)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c3_1(a820)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c0_1(a817)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c3_1(a817)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c2_1(a816)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c3_1(a815)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | hskp26
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f132,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp7
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp26
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp1
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp14
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp21
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp14
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp14
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f149,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

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

fof(f151,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f155,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

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

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c2_1(X2)
      | c3_1(X2)
      | c0_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | c1_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | c2_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | c1_1(X1)
      | c2_1(X1)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f181,plain,
    ( hskp14
    | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f186,plain,
    ( hskp24
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f198,plain,
    ( hskp28
    | ~ hskp24
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f203,plain,
    ( ~ hskp7
    | ~ hskp5
    | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f205,plain,
    ( hskp29
    | ~ c1_1(a865) ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f206,plain,
    ( hskp29
    | c2_1(a865) ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f207,plain,
    ( hskp29
    | ~ c3_1(a865) ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f208,plain,
    ( ~ hskp28
    | ~ c1_1(a833) ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f209,plain,
    ( ~ hskp28
    | ~ c3_1(a833) ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f211,plain,
    ( hskp27
    | c2_1(a826) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f212,plain,
    ( hskp27
    | ~ c3_1(a826) ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f213,plain,
    ( hskp26
    | c0_1(a818) ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f214,plain,
    ( hskp26
    | ~ c1_1(a818) ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f218,plain,
    ( hskp24
    | ~ c1_1(a878) ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f219,plain,
    ( ~ hskp23
    | ~ c3_1(a862) ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f220,plain,
    ( hskp21
    | c0_1(a857) ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f221,plain,
    ( ~ hskp20
    | ~ c3_1(a856) ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f225,plain,
    ( ~ hskp14
    | ~ c1_1(a842) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f226,plain,
    ( hskp13
    | ~ c1_1(a839) ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f227,plain,
    ( hskp13
    | ~ c3_1(a839) ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f232,plain,
    ( hskp9
    | ~ c3_1(a831) ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f233,plain,
    ( hskp7
    | c0_1(a828) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f234,plain,
    ( ~ hskp6
    | ~ c1_1(a827) ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f235,plain,
    ( hskp5
    | ~ c1_1(a825) ),
    inference(consistent_polarity_flipping,[],[f77]) ).

fof(f236,plain,
    ( hskp5
    | ~ c3_1(a825) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f237,plain,
    ( hskp3
    | c0_1(a820) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f238,plain,
    ( ~ hskp1
    | ~ c3_1(a816) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f239,plain,
    ( hskp0
    | c0_1(a815) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f240,plain,
    ( hskp0
    | ~ c1_1(a815) ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f242,plain,
    ( ~ c0_1(a878)
    | hskp24 ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f243,plain,
    ( c3_1(a878)
    | hskp24 ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f244,plain,
    ( c1_1(a862)
    | ~ hskp23 ),
    inference(consistent_polarity_flipping,[],[f89]) ).

fof(f245,plain,
    ( ~ c0_1(a860)
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f246,plain,
    ( c1_1(a860)
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f247,plain,
    ( ~ c2_1(a860)
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f248,plain,
    ( ~ c2_1(a857)
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f93]) ).

fof(f249,plain,
    ( c3_1(a857)
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f250,plain,
    ( c1_1(a856)
    | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f259,plain,
    ( ~ c2_1(a839)
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f263,plain,
    ( ~ c0_1(a831)
    | hskp9 ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f264,plain,
    ( c1_1(a831)
    | hskp9 ),
    inference(consistent_polarity_flipping,[],[f113]) ).

fof(f265,plain,
    ( c3_1(a830)
    | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f266,plain,
    ( c1_1(a828)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f117]) ).

fof(f267,plain,
    ( ~ c2_1(a828)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f268,plain,
    ( ~ c0_1(a825)
    | hskp5 ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f269,plain,
    ( c1_1(a821)
    | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f270,plain,
    ( c1_1(a820)
    | hskp3 ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f271,plain,
    ( c3_1(a820)
    | hskp3 ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f272,plain,
    ( c3_1(a817)
    | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f273,plain,
    ( c3_1(a815)
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f274,plain,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f275,plain,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ hskp26
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f277,plain,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ hskp7
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f279,plain,
    ! [X0] :
      ( c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | ~ hskp26
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f284,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c3_1(X0)
      | hskp1
      | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f285,plain,
    ! [X0] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp14
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f287,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ hskp21
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f288,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | hskp14
      | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f290,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | hskp14
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f145]) ).

fof(f294,plain,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f149]) ).

fof(f295,plain,
    ! [X0,X1] :
      ( c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f296,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f300,plain,
    ! [X0,X1] :
      ( c3_1(X0)
      | ~ ndr1_0
      | c3_1(X1)
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f303,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | hskp6 ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f304,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f306,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f161]) ).

fof(f309,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1)
      | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f310,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | ~ c3_1(X1)
      | hskp23 ),
    inference(consistent_polarity_flipping,[],[f165]) ).

fof(f311,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f314,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f316,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f317,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f318,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X2)
      | c2_1(X2)
      | ~ c3_1(X2)
      | c0_1(X1)
      | ~ c3_1(X1) ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f319,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | ~ c1_1(X2)
      | c2_1(X2)
      | ~ c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f320,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f321,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X1)
      | c1_1(X2)
      | c2_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f322,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | ~ c1_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f177]) ).

fof(f323,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | c3_1(X1)
      | c1_1(X2)
      | ~ c2_1(X2)
      | c2_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1)
      | c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f324,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | c3_1(X2)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f325,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | c3_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X1)
      | c2_1(X1)
      | ~ c1_1(X2)
      | c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f327,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f328,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f330,definition,
    ( spl0_2
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f331,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f333,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f337,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f338,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f339,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f325,f337,f333,f330,f327]) ).

fof(f341,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f342,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | c3_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f344,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f345,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f347,definition,
    ( spl0_7
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f348,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f349,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f324,f347,f333,f344,f341]) ).

fof(f351,definition,
    ( spl0_8
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f352,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f354,definition,
    ( spl0_9
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f355,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f356,plain,
    ( spl0_8
    | spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f323,f354,f333,f330,f351]) ).

fof(f358,definition,
    ( spl0_10
  <=> ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f359,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c3_1(X2) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f361,definition,
    ( spl0_11
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f362,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f364,definition,
    ( spl0_12
  <=> ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f365,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f366,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f322,f364,f333,f361,f358]) ).

fof(f368,definition,
    ( spl0_13
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f369,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f371,definition,
    ( spl0_14
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f372,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f373,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f321,f364,f333,f371,f368]) ).

fof(f375,definition,
    ( spl0_15
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f376,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f378,definition,
    ( spl0_16
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f379,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f381,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f382,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f383,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f320,f381,f333,f378,f375]) ).

fof(f385,definition,
    ( spl0_18
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f386,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f388,definition,
    ( spl0_19
  <=> ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f389,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f390,plain,
    ( spl0_18
    | spl0_1
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f319,f388,f333,f327,f385]) ).

fof(f392,definition,
    ( spl0_20
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f393,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f395,definition,
    ( spl0_21
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f396,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f397,plain,
    ( spl0_18
    | spl0_20
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f318,f395,f333,f392,f385]) ).

fof(f399,definition,
    ( spl0_22
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f402,plain,
    ( spl0_22
    | spl0_4
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f317,f388,f333,f337,f399]) ).

fof(f404,definition,
    ( spl0_23
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f407,plain,
    ( ~ spl0_23
    | spl0_14
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f316,f337,f333,f371,f404]) ).

fof(f417,definition,
    ( spl0_26
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f421,definition,
    ( spl0_27
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f422,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f423,plain,
    ( spl0_26
    | spl0_11
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f314,f421,f333,f361,f417]) ).

fof(f430,definition,
    ( spl0_29
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f435,definition,
    ( spl0_30
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f438,plain,
    ( ~ spl0_30
    | spl0_16
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f311,f381,f333,f378,f435]) ).

fof(f440,definition,
    ( spl0_31
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f443,plain,
    ( spl0_31
    | spl0_7
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f310,f371,f333,f347,f440]) ).

fof(f444,plain,
    ( ~ spl0_30
    | spl0_1
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f309,f371,f333,f327,f435]) ).

fof(f451,definition,
    ( spl0_33
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f455,definition,
    ( spl0_34
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f456,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f462,definition,
    ( spl0_36
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f465,plain,
    ( ~ spl0_36
    | spl0_34
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f306,f354,f333,f455,f462]) ).

fof(f468,definition,
    ( spl0_37
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f469,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f470,plain,
    ( ~ spl0_29
    | spl0_37
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f304,f351,f333,f468,f430]) ).

fof(f471,plain,
    ( spl0_33
    | spl0_18
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f303,f421,f333,f385,f451]) ).

fof(f473,definition,
    ( spl0_38
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f481,plain,
    ( spl0_38
    | spl0_37
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f300,f330,f333,f468,f473]) ).

fof(f483,definition,
    ( spl0_40
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f484,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f487,definition,
    ( spl0_41
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f491,definition,
    ( spl0_42
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f492,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f495,definition,
    ( spl0_43
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f500,definition,
    ( spl0_44
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f503,plain,
    ( spl0_44
    | spl0_40
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f296,f327,f333,f483,f500]) ).

fof(f505,definition,
    ( spl0_45
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f506,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f507,plain,
    ( spl0_45
    | ~ spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f295,f468,f333,f505]) ).

fof(f509,definition,
    ( spl0_46
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f512,plain,
    ( ~ spl0_46
    | spl0_40
    | spl0_18
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f294,f333,f385,f483,f509]) ).

fof(f519,definition,
    ( spl0_48
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f524,definition,
    ( spl0_49
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f527,plain,
    ( ~ spl0_49
    | spl0_48
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f290,f395,f333,f519,f524]) ).

fof(f530,definition,
    ( spl0_50
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f533,plain,
    ( ~ spl0_50
    | spl0_48
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f288,f421,f333,f519,f530]) ).

fof(f535,definition,
    ( spl0_51
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f539,definition,
    ( spl0_52
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f542,plain,
    ( ~ spl0_51
    | ~ spl0_52
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f287,f361,f333,f539,f535]) ).

fof(f544,plain,
    ( ~ spl0_51
    | spl0_48
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f285,f378,f333,f519,f535]) ).

fof(f545,plain,
    ( ~ spl0_50
    | spl0_44
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f284,f347,f333,f500,f530]) ).

fof(f574,definition,
    ( spl0_59
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f577,plain,
    ( spl0_59
    | ~ spl0_36
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f279,f358,f333,f462,f574]) ).

fof(f579,plain,
    ( spl0_43
    | ~ spl0_49
    | spl0_42
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f277,f333,f491,f524,f495]) ).

fof(f581,definition,
    ( spl0_60
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f585,plain,
    ( ~ spl0_46
    | ~ spl0_36
    | spl0_45
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f275,f333,f505,f462,f509]) ).

fof(f586,plain,
    ( ~ spl0_60
    | spl0_18
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f274,f333,f385,f581]) ).

fof(f588,definition,
    ( spl0_61
  <=> c3_1(a815) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f590,plain,
    ( c3_1(a815)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f591,plain,
    ( spl0_46
    | spl0_61 ),
    inference(avatar_split_clause,[],[f273,f588,f509]) ).

fof(f593,definition,
    ( spl0_62
  <=> c2_1(a816) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f596,plain,
    ( ~ spl0_44
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f127,f593,f500]) ).

fof(f598,definition,
    ( spl0_63
  <=> c3_1(a817) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f600,plain,
    ( c3_1(a817)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f601,plain,
    ( ~ spl0_38
    | spl0_63 ),
    inference(avatar_split_clause,[],[f272,f598,f473]) ).

fof(f603,definition,
    ( spl0_64
  <=> c0_1(a817) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f605,plain,
    ( ~ c0_1(a817)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f606,plain,
    ( ~ spl0_38
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f125,f603,f473]) ).

fof(f608,definition,
    ( spl0_65
  <=> c3_1(a820) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f610,plain,
    ( c3_1(a820)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f611,plain,
    ( spl0_29
    | spl0_65 ),
    inference(avatar_split_clause,[],[f271,f608,f430]) ).

fof(f613,definition,
    ( spl0_66
  <=> c1_1(a820) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f616,plain,
    ( spl0_29
    | spl0_66 ),
    inference(avatar_split_clause,[],[f270,f613,f430]) ).

fof(f618,definition,
    ( spl0_67
  <=> c1_1(a821) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f621,plain,
    ( ~ spl0_43
    | spl0_67 ),
    inference(avatar_split_clause,[],[f269,f618,f495]) ).

fof(f623,definition,
    ( spl0_68
  <=> c0_1(a821) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f625,plain,
    ( ~ c0_1(a821)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f626,plain,
    ( ~ spl0_43
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f121,f623,f495]) ).

fof(f628,definition,
    ( spl0_69
  <=> c0_1(a825) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f630,plain,
    ( ~ c0_1(a825)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f631,plain,
    ( spl0_41
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f268,f628,f487]) ).

fof(f633,definition,
    ( spl0_70
  <=> c0_1(a827) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f635,plain,
    ( ~ c0_1(a827)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f636,plain,
    ( ~ spl0_33
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f119,f633,f451]) ).

fof(f638,definition,
    ( spl0_71
  <=> c2_1(a828) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f641,plain,
    ( spl0_49
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f267,f638,f524]) ).

fof(f643,definition,
    ( spl0_72
  <=> c1_1(a828) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f646,plain,
    ( spl0_49
    | spl0_72 ),
    inference(avatar_split_clause,[],[f266,f643,f524]) ).

fof(f648,definition,
    ( spl0_73
  <=> c3_1(a830) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f650,plain,
    ( c3_1(a830)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f651,plain,
    ( ~ spl0_22
    | spl0_73 ),
    inference(avatar_split_clause,[],[f265,f648,f399]) ).

fof(f653,definition,
    ( spl0_74
  <=> c2_1(a830) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f656,plain,
    ( ~ spl0_22
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f115,f653,f399]) ).

fof(f658,definition,
    ( spl0_75
  <=> c0_1(a830) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f660,plain,
    ( ~ c0_1(a830)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f661,plain,
    ( ~ spl0_22
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f114,f658,f399]) ).

fof(f663,definition,
    ( spl0_76
  <=> c1_1(a831) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f666,plain,
    ( spl0_30
    | spl0_76 ),
    inference(avatar_split_clause,[],[f264,f663,f435]) ).

fof(f668,definition,
    ( spl0_77
  <=> c0_1(a831) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f670,plain,
    ( ~ c0_1(a831)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f671,plain,
    ( spl0_30
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f263,f668,f435]) ).

fof(f688,definition,
    ( spl0_81
  <=> c2_1(a839) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f691,plain,
    ( spl0_51
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f259,f688,f535]) ).

fof(f693,definition,
    ( spl0_82
  <=> c2_1(a842) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f696,plain,
    ( ~ spl0_48
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f107,f693,f519]) ).

fof(f748,definition,
    ( spl0_93
  <=> c2_1(a856) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f751,plain,
    ( ~ spl0_26
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f96,f748,f417]) ).

fof(f753,definition,
    ( spl0_94
  <=> c1_1(a856) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f756,plain,
    ( ~ spl0_26
    | spl0_94 ),
    inference(avatar_split_clause,[],[f250,f753,f417]) ).

fof(f758,definition,
    ( spl0_95
  <=> c3_1(a857) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f760,plain,
    ( c3_1(a857)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f761,plain,
    ( spl0_52
    | spl0_95 ),
    inference(avatar_split_clause,[],[f249,f758,f539]) ).

fof(f763,definition,
    ( spl0_96
  <=> c2_1(a857) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f766,plain,
    ( spl0_52
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f248,f763,f539]) ).

fof(f768,definition,
    ( spl0_97
  <=> c2_1(a860) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f770,plain,
    ( ~ c2_1(a860)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f771,plain,
    ( spl0_50
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f247,f768,f530]) ).

fof(f773,definition,
    ( spl0_98
  <=> c1_1(a860) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f776,plain,
    ( spl0_50
    | spl0_98 ),
    inference(avatar_split_clause,[],[f246,f773,f530]) ).

fof(f778,definition,
    ( spl0_99
  <=> c0_1(a860) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f780,plain,
    ( ~ c0_1(a860)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f781,plain,
    ( spl0_50
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f245,f778,f530]) ).

fof(f783,definition,
    ( spl0_100
  <=> c1_1(a862) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f786,plain,
    ( ~ spl0_31
    | spl0_100 ),
    inference(avatar_split_clause,[],[f244,f783,f440]) ).

fof(f788,definition,
    ( spl0_101
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f792,definition,
    ( spl0_102
  <=> c3_1(a878) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f794,plain,
    ( c3_1(a878)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f795,plain,
    ( spl0_101
    | spl0_102 ),
    inference(avatar_split_clause,[],[f243,f792,f788]) ).

fof(f797,definition,
    ( spl0_103
  <=> c0_1(a878) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f799,plain,
    ( ~ c0_1(a878)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f800,plain,
    ( spl0_101
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f242,f797,f788]) ).

fof(f811,definition,
    ( spl0_106
  <=> c1_1(a815) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f814,plain,
    ( ~ spl0_106
    | spl0_46 ),
    inference(avatar_split_clause,[],[f240,f509,f811]) ).

fof(f816,definition,
    ( spl0_107
  <=> c0_1(a815) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f818,plain,
    ( c0_1(a815)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f819,plain,
    ( spl0_107
    | spl0_46 ),
    inference(avatar_split_clause,[],[f239,f509,f816]) ).

fof(f821,definition,
    ( spl0_108
  <=> c3_1(a816) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f823,plain,
    ( ~ c3_1(a816)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f824,plain,
    ( ~ spl0_108
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f238,f500,f821]) ).

fof(f826,definition,
    ( spl0_109
  <=> c0_1(a816) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f828,plain,
    ( c0_1(a816)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f829,plain,
    ( spl0_109
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f82,f500,f826]) ).

fof(f831,definition,
    ( spl0_110
  <=> c2_1(a817) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f834,plain,
    ( spl0_110
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f81,f473,f831]) ).

fof(f836,definition,
    ( spl0_111
  <=> c0_1(a820) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f838,plain,
    ( c0_1(a820)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f839,plain,
    ( spl0_111
    | spl0_29 ),
    inference(avatar_split_clause,[],[f237,f430,f836]) ).

fof(f841,definition,
    ( spl0_112
  <=> c2_1(a821) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f844,plain,
    ( spl0_112
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f79,f495,f841]) ).

fof(f846,definition,
    ( spl0_113
  <=> c3_1(a825) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f848,plain,
    ( ~ c3_1(a825)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f849,plain,
    ( ~ spl0_113
    | spl0_41 ),
    inference(avatar_split_clause,[],[f236,f487,f846]) ).

fof(f851,definition,
    ( spl0_114
  <=> c1_1(a825) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f854,plain,
    ( ~ spl0_114
    | spl0_41 ),
    inference(avatar_split_clause,[],[f235,f487,f851]) ).

fof(f856,definition,
    ( spl0_115
  <=> c2_1(a827) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f859,plain,
    ( spl0_115
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f76,f451,f856]) ).

fof(f861,definition,
    ( spl0_116
  <=> c1_1(a827) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f864,plain,
    ( ~ spl0_116
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f234,f451,f861]) ).

fof(f866,definition,
    ( spl0_117
  <=> c0_1(a828) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f868,plain,
    ( c0_1(a828)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f869,plain,
    ( spl0_117
    | spl0_49 ),
    inference(avatar_split_clause,[],[f233,f524,f866]) ).

fof(f871,definition,
    ( spl0_118
  <=> c3_1(a831) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f873,plain,
    ( ~ c3_1(a831)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f874,plain,
    ( ~ spl0_118
    | spl0_30 ),
    inference(avatar_split_clause,[],[f232,f435,f871]) ).

fof(f906,definition,
    ( spl0_125
  <=> c3_1(a839) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f908,plain,
    ( ~ c3_1(a839)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f909,plain,
    ( ~ spl0_125
    | spl0_51 ),
    inference(avatar_split_clause,[],[f227,f535,f906]) ).

fof(f911,definition,
    ( spl0_126
  <=> c1_1(a839) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f914,plain,
    ( ~ spl0_126
    | spl0_51 ),
    inference(avatar_split_clause,[],[f226,f535,f911]) ).

fof(f916,definition,
    ( spl0_127
  <=> c1_1(a842) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f919,plain,
    ( ~ spl0_127
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f225,f519,f916]) ).

fof(f921,definition,
    ( spl0_128
  <=> c0_1(a842) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f923,plain,
    ( c0_1(a842)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f924,plain,
    ( spl0_128
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f63,f519,f921]) ).

fof(f951,definition,
    ( spl0_134
  <=> c3_1(a856) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f953,plain,
    ( ~ c3_1(a856)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f954,plain,
    ( ~ spl0_134
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f221,f417,f951]) ).

fof(f956,definition,
    ( spl0_135
  <=> c0_1(a857) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f958,plain,
    ( c0_1(a857)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f959,plain,
    ( spl0_135
    | spl0_52 ),
    inference(avatar_split_clause,[],[f220,f539,f956]) ).

fof(f961,definition,
    ( spl0_136
  <=> c3_1(a862) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f963,plain,
    ( ~ c3_1(a862)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f964,plain,
    ( ~ spl0_136
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f219,f440,f961]) ).

fof(f966,definition,
    ( spl0_137
  <=> c0_1(a862) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f968,plain,
    ( c0_1(a862)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f969,plain,
    ( spl0_137
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f54,f440,f966]) ).

fof(f971,definition,
    ( spl0_138
  <=> c1_1(a878) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f974,plain,
    ( ~ spl0_138
    | spl0_101 ),
    inference(avatar_split_clause,[],[f218,f788,f971]) ).

fof(f991,definition,
    ( spl0_142
  <=> c1_1(a818) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f994,plain,
    ( ~ spl0_142
    | spl0_36 ),
    inference(avatar_split_clause,[],[f214,f462,f991]) ).

fof(f996,definition,
    ( spl0_143
  <=> c0_1(a818) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f998,plain,
    ( c0_1(a818)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f996]) ).

fof(f999,plain,
    ( spl0_143
    | spl0_36 ),
    inference(avatar_split_clause,[],[f213,f462,f996]) ).

fof(f1001,definition,
    ( spl0_144
  <=> c3_1(a826) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1003,plain,
    ( ~ c3_1(a826)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f1001]) ).

fof(f1004,plain,
    ( ~ spl0_144
    | spl0_60 ),
    inference(avatar_split_clause,[],[f212,f581,f1001]) ).

fof(f1006,definition,
    ( spl0_145
  <=> c2_1(a826) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1009,plain,
    ( spl0_145
    | spl0_60 ),
    inference(avatar_split_clause,[],[f211,f581,f1006]) ).

fof(f1016,definition,
    ( spl0_147
  <=> c3_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1019,plain,
    ( ~ spl0_147
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f209,f574,f1016]) ).

fof(f1021,definition,
    ( spl0_148
  <=> c1_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1024,plain,
    ( ~ spl0_148
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f208,f574,f1021]) ).

fof(f1026,definition,
    ( spl0_149
  <=> c0_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1028,plain,
    ( c0_1(a833)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1026]) ).

fof(f1029,plain,
    ( spl0_149
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f42,f574,f1026]) ).

fof(f1031,definition,
    ( spl0_150
  <=> c3_1(a865) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1033,plain,
    ( ~ c3_1(a865)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1034,plain,
    ( ~ spl0_150
    | spl0_23 ),
    inference(avatar_split_clause,[],[f207,f404,f1031]) ).

fof(f1036,definition,
    ( spl0_151
  <=> c2_1(a865) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1039,plain,
    ( spl0_151
    | spl0_23 ),
    inference(avatar_split_clause,[],[f206,f404,f1036]) ).

fof(f1041,definition,
    ( spl0_152
  <=> c1_1(a865) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1044,plain,
    ( ~ spl0_152
    | spl0_23 ),
    inference(avatar_split_clause,[],[f205,f404,f1041]) ).

fof(f1046,plain,
    ( ~ spl0_51
    | ~ spl0_41
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f203,f524,f487,f535]) ).

fof(f1051,plain,
    ( spl0_26
    | ~ spl0_101
    | spl0_59 ),
    inference(avatar_split_clause,[],[f198,f574,f788,f417]) ).

fof(f1072,plain,
    ( spl0_3
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f11,f417,f333]) ).

fof(f1076,plain,
    ( spl0_3
    | spl0_101 ),
    inference(avatar_split_clause,[],[f186,f788,f333]) ).

fof(f1080,plain,
    ( spl0_3
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f3,f574,f333]) ).

fof(f1082,plain,
    ( ~ spl0_101
    | spl0_48 ),
    inference(avatar_split_clause,[],[f181,f519,f788]) ).

fof(f1104,definition,
    ( spl0_153
  <=> c1_1(a830) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1109,definition,
    ( spl0_154
  <=> c1_1(a816) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1114,definition,
    ( spl0_155
  <=> c1_1(a817) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1124,definition,
    ( spl0_157
  <=> c1_1(a857) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1129,definition,
    ( spl0_158
  <=> c1_1(a826) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1134,plain,
    ( c1_1(a878)
    | c2_1(a878)
    | ~ spl0_7
    | ~ spl0_102 ),
    inference(resolution,[],[f348,f794]) ).

fof(f1138,definition,
    ( spl0_159
  <=> c2_1(a878) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1145,plain,
    ( c3_1(a842)
    | c1_1(a842)
    | ~ spl0_4
    | ~ spl0_128 ),
    inference(resolution,[],[f923,f338]) ).

fof(f1147,definition,
    ( spl0_160
  <=> c3_1(a842) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1148,plain,
    ( ~ c3_1(a842)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1147]) ).

fof(f1149,plain,
    ( c3_1(a842)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1147]) ).

fof(f1150,plain,
    ( spl0_127
    | spl0_160
    | ~ spl0_4
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1145,f921,f337,f1147,f916]) ).

fof(f1151,plain,
    ( c1_1(a842)
    | c2_1(a842)
    | ~ spl0_7
    | ~ spl0_160 ),
    inference(resolution,[],[f1149,f348]) ).

fof(f1152,plain,
    ( spl0_82
    | spl0_127
    | ~ spl0_7
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1151,f1147,f347,f916,f693]) ).

fof(f1154,plain,
    ( spl0_159
    | spl0_138
    | ~ spl0_7
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1134,f792,f347,f971,f1138]) ).

fof(f1161,plain,
    ( c2_1(a862)
    | ~ c1_1(a862)
    | ~ spl0_2
    | spl0_136 ),
    inference(resolution,[],[f331,f963]) ).

fof(f1163,plain,
    ( c2_1(a856)
    | ~ c1_1(a856)
    | ~ spl0_2
    | spl0_134 ),
    inference(resolution,[],[f331,f953]) ).

fof(f1170,plain,
    ( c2_1(a831)
    | ~ c1_1(a831)
    | ~ spl0_2
    | spl0_118 ),
    inference(resolution,[],[f331,f873]) ).

fof(f1192,plain,
    ( c1_1(a825)
    | ~ c2_1(a825)
    | ~ spl0_8
    | spl0_69 ),
    inference(resolution,[],[f352,f630]) ).

fof(f1207,definition,
    ( spl0_162
  <=> c2_1(a815) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1212,definition,
    ( spl0_163
  <=> c2_1(a820) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1217,definition,
    ( spl0_164
  <=> c2_1(a825) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1220,plain,
    ( ~ spl0_164
    | spl0_114
    | ~ spl0_8
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1192,f628,f351,f851,f1217]) ).

fof(f1222,definition,
    ( spl0_165
  <=> c2_1(a831) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1232,definition,
    ( spl0_167
  <=> c2_1(a862) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1242,plain,
    ( c2_1(a842)
    | c1_1(a842)
    | ~ spl0_9
    | ~ spl0_128 ),
    inference(resolution,[],[f355,f923]) ).

fof(f1243,plain,
    ( spl0_127
    | spl0_82
    | ~ spl0_9
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1242,f921,f354,f693,f916]) ).

fof(f1255,plain,
    ( c2_1(a831)
    | c3_1(a831)
    | ~ spl0_10
    | spl0_77 ),
    inference(resolution,[],[f359,f670]) ).

fof(f1264,plain,
    ( c2_1(a860)
    | c3_1(a860)
    | ~ spl0_10
    | spl0_99 ),
    inference(resolution,[],[f359,f780]) ).

fof(f1269,definition,
    ( spl0_169
  <=> c3_1(a860) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1270,plain,
    ( ~ c3_1(a860)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1269]) ).

fof(f1271,plain,
    ( c3_1(a860)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1269]) ).

fof(f1278,definition,
    ( spl0_170
  <=> c3_1(a821) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1284,definition,
    ( spl0_171
  <=> c3_1(a827) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1285,plain,
    ( ~ c3_1(a827)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f1284]) ).

fof(f1286,plain,
    ( c3_1(a827)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1284]) ).

fof(f1289,definition,
    ( spl0_172
  <=> c3_1(a828) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1291,plain,
    ( c3_1(a828)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1289]) ).

fof(f1293,plain,
    ( spl0_118
    | spl0_165
    | ~ spl0_10
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1255,f668,f358,f1222,f871]) ).

fof(f1308,definition,
    ( spl0_175
  <=> c3_1(a818) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1314,plain,
    ( c2_1(a860)
    | ~ c1_1(a860)
    | ~ spl0_2
    | spl0_169 ),
    inference(resolution,[],[f1270,f331]) ).

fof(f1344,plain,
    ( c2_1(a830)
    | c1_1(a830)
    | ~ spl0_13
    | spl0_75 ),
    inference(resolution,[],[f369,f660]) ).

fof(f1363,plain,
    ( c2_1(a842)
    | c3_1(a842)
    | ~ spl0_14
    | ~ spl0_128 ),
    inference(resolution,[],[f372,f923]) ).

fof(f1380,plain,
    ( c2_1(a842)
    | c1_1(a842)
    | ~ spl0_12
    | spl0_160 ),
    inference(resolution,[],[f365,f1148]) ).

fof(f1388,plain,
    ( c2_1(a825)
    | c1_1(a825)
    | ~ spl0_12
    | spl0_113 ),
    inference(resolution,[],[f365,f848]) ).

fof(f1392,plain,
    ( c2_1(a816)
    | c1_1(a816)
    | ~ spl0_12
    | spl0_108 ),
    inference(resolution,[],[f365,f823]) ).

fof(f1410,plain,
    ( spl0_127
    | spl0_82
    | ~ spl0_12
    | spl0_160 ),
    inference(avatar_split_clause,[],[f1380,f1147,f364,f693,f916]) ).

fof(f1420,plain,
    ( spl0_153
    | spl0_74
    | ~ spl0_13
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1344,f658,f368,f653,f1104]) ).

fof(f1449,plain,
    ( ~ c1_1(a862)
    | c3_1(a862)
    | ~ spl0_11
    | ~ spl0_137 ),
    inference(resolution,[],[f968,f362]) ).

fof(f1478,plain,
    ( ~ c1_1(a831)
    | ~ c2_1(a831)
    | ~ spl0_15
    | spl0_77 ),
    inference(resolution,[],[f376,f670]) ).

fof(f1489,plain,
    ( ~ spl0_165
    | ~ spl0_76
    | ~ spl0_15
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1478,f668,f375,f663,f1222]) ).

fof(f1502,plain,
    ( c1_1(a825)
    | c3_1(a825)
    | ~ spl0_16
    | spl0_69 ),
    inference(resolution,[],[f379,f630]) ).

fof(f1509,plain,
    ( spl0_113
    | spl0_114
    | ~ spl0_16
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1502,f628,f378,f851,f846]) ).

fof(f1516,plain,
    ( ~ c3_1(a818)
    | c1_1(a818)
    | ~ spl0_17
    | ~ spl0_143 ),
    inference(resolution,[],[f382,f998]) ).

fof(f1530,plain,
    ( ~ c1_1(a820)
    | c2_1(a820)
    | ~ spl0_18
    | ~ spl0_65 ),
    inference(resolution,[],[f386,f610]) ).

fof(f1538,plain,
    ( spl0_163
    | ~ spl0_66
    | ~ spl0_18
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1530,f608,f385,f613,f1212]) ).

fof(f1545,plain,
    ( c1_1(a865)
    | ~ c2_1(a865)
    | ~ spl0_19
    | spl0_150 ),
    inference(resolution,[],[f389,f1033]) ).

fof(f1547,plain,
    ( c1_1(a826)
    | ~ c2_1(a826)
    | ~ spl0_19
    | spl0_144 ),
    inference(resolution,[],[f389,f1003]) ).

fof(f1561,plain,
    ( c1_1(a827)
    | ~ c2_1(a827)
    | ~ spl0_19
    | spl0_171 ),
    inference(resolution,[],[f389,f1285]) ).

fof(f1578,plain,
    ( c2_1(a862)
    | ~ c1_1(a862)
    | ~ spl0_1
    | ~ spl0_137 ),
    inference(resolution,[],[f328,f968]) ).

fof(f1606,plain,
    ( c1_1(a878)
    | ~ c2_1(a878)
    | ~ spl0_21
    | ~ spl0_102 ),
    inference(resolution,[],[f396,f794]) ).

fof(f1666,plain,
    ( ~ c3_1(a821)
    | ~ c2_1(a821)
    | ~ spl0_20
    | spl0_68 ),
    inference(resolution,[],[f393,f625]) ).

fof(f1675,plain,
    ( c2_1(a816)
    | ~ c1_1(a816)
    | ~ spl0_2
    | spl0_108 ),
    inference(resolution,[],[f823,f331]) ).

fof(f1725,plain,
    ( ~ c3_1(a827)
    | ~ c2_1(a827)
    | ~ spl0_20
    | spl0_70 ),
    inference(resolution,[],[f635,f393]) ).

fof(f1730,plain,
    ( ~ spl0_115
    | ~ spl0_171
    | ~ spl0_20
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1725,f633,f392,f1284,f856]) ).

fof(f1742,plain,
    ( c1_1(a815)
    | c2_1(a815)
    | ~ spl0_7
    | ~ spl0_61 ),
    inference(resolution,[],[f590,f348]) ).

fof(f1753,plain,
    ( c2_1(a828)
    | ~ c1_1(a828)
    | ~ spl0_1
    | ~ spl0_117 ),
    inference(resolution,[],[f868,f328]) ).

fof(f1754,plain,
    ( ~ c1_1(a828)
    | c3_1(a828)
    | ~ spl0_11
    | ~ spl0_117 ),
    inference(resolution,[],[f868,f362]) ).

fof(f1763,plain,
    ( ~ c1_1(a826)
    | ~ c2_1(a826)
    | ~ spl0_27
    | spl0_144 ),
    inference(resolution,[],[f422,f1003]) ).

fof(f1765,plain,
    ( ~ c1_1(a862)
    | ~ c2_1(a862)
    | ~ spl0_27
    | spl0_136 ),
    inference(resolution,[],[f422,f963]) ).

fof(f1774,plain,
    ( ~ c1_1(a831)
    | ~ c2_1(a831)
    | ~ spl0_27
    | spl0_118 ),
    inference(resolution,[],[f422,f873]) ).

fof(f1791,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_1
    | ~ spl0_37 ),
    inference(resolution,[],[f469,f328]) ).

fof(f1795,plain,
    ( ~ c1_1(a821)
    | c3_1(a821)
    | ~ spl0_37
    | spl0_68 ),
    inference(resolution,[],[f469,f625]) ).

fof(f1800,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f1791]) ).

fof(f1841,plain,
    ( ~ spl0_112
    | ~ spl0_170
    | ~ spl0_20
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1666,f623,f392,f1278,f841]) ).

fof(f1846,plain,
    ( spl0_170
    | ~ spl0_67
    | ~ spl0_37
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1795,f623,f468,f618,f1278]) ).

fof(f1880,plain,
    ( c1_1(a817)
    | ~ c2_1(a817)
    | ~ spl0_8
    | spl0_64 ),
    inference(resolution,[],[f352,f605]) ).

fof(f1884,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_1
    | ~ spl0_40 ),
    inference(resolution,[],[f484,f328]) ).

fof(f1890,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_1
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f1884]) ).

fof(f1927,plain,
    ( spl0_162
    | spl0_106
    | ~ spl0_7
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1742,f588,f347,f811,f1207]) ).

fof(f1929,plain,
    ( spl0_160
    | spl0_82
    | ~ spl0_14
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1363,f921,f371,f693,f1147]) ).

fof(f1930,plain,
    ( ~ spl0_151
    | spl0_152
    | ~ spl0_19
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1545,f1031,f388,f1041,f1036]) ).

fof(f1931,plain,
    ( ~ spl0_145
    | spl0_158
    | ~ spl0_19
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1547,f1001,f388,f1129,f1006]) ).

fof(f1935,plain,
    ( ~ spl0_115
    | spl0_116
    | ~ spl0_19
    | spl0_171 ),
    inference(avatar_split_clause,[],[f1561,f1284,f388,f861,f856]) ).

fof(f1946,plain,
    ( ~ spl0_145
    | ~ spl0_158
    | ~ spl0_27
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1763,f1001,f421,f1129,f1006]) ).

fof(f1948,plain,
    ( ~ spl0_167
    | ~ spl0_100
    | ~ spl0_27
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1765,f961,f421,f783,f1232]) ).

fof(f1966,plain,
    ( ~ spl0_165
    | ~ spl0_76
    | ~ spl0_27
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1774,f871,f421,f663,f1222]) ).

fof(f1975,plain,
    ( spl0_114
    | spl0_164
    | ~ spl0_12
    | spl0_113 ),
    inference(avatar_split_clause,[],[f1388,f846,f364,f1217,f851]) ).

fof(f1976,plain,
    ( spl0_154
    | spl0_62
    | ~ spl0_12
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1392,f821,f364,f593,f1109]) ).

fof(f2029,plain,
    ( ~ c1_1(a860)
    | ~ spl0_1
    | ~ spl0_40
    | spl0_97 ),
    inference(resolution,[],[f1890,f770]) ).

fof(f2083,plain,
    ( ~ spl0_110
    | spl0_155
    | ~ spl0_8
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1880,f603,f351,f1114,f831]) ).

fof(f2094,plain,
    ( c3_1(a833)
    | c1_1(a833)
    | ~ spl0_4
    | ~ spl0_149 ),
    inference(resolution,[],[f338,f1028]) ).

fof(f2096,plain,
    ( c3_1(a818)
    | c1_1(a818)
    | ~ spl0_4
    | ~ spl0_143 ),
    inference(resolution,[],[f338,f998]) ).

fof(f2128,plain,
    ( ~ c1_1(a862)
    | ~ c2_1(a862)
    | ~ spl0_6
    | ~ spl0_137 ),
    inference(resolution,[],[f345,f968]) ).

fof(f2137,plain,
    ( ~ c1_1(a820)
    | ~ c2_1(a820)
    | ~ spl0_6
    | ~ spl0_111 ),
    inference(resolution,[],[f345,f838]) ).

fof(f2148,plain,
    ( ~ c2_1(a831)
    | c3_1(a831)
    | ~ spl0_5
    | spl0_77 ),
    inference(resolution,[],[f342,f670]) ).

fof(f2165,plain,
    ( c2_1(a839)
    | c1_1(a839)
    | ~ spl0_12
    | spl0_125 ),
    inference(resolution,[],[f365,f908]) ).

fof(f2176,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(resolution,[],[f372,f379]) ).

fof(f2185,plain,
    ( c2_1(a828)
    | c3_1(a828)
    | ~ spl0_14
    | ~ spl0_117 ),
    inference(resolution,[],[f372,f868]) ).

fof(f2190,plain,
    ( c2_1(a816)
    | c3_1(a816)
    | ~ spl0_14
    | ~ spl0_109 ),
    inference(resolution,[],[f372,f828]) ).

fof(f2193,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f2176]) ).

fof(f2210,plain,
    ( ~ c1_1(a857)
    | c2_1(a857)
    | ~ spl0_18
    | ~ spl0_95 ),
    inference(resolution,[],[f386,f760]) ).

fof(f2217,plain,
    ( ~ c1_1(a828)
    | c2_1(a828)
    | ~ spl0_18
    | ~ spl0_172 ),
    inference(resolution,[],[f386,f1291]) ).

fof(f2221,plain,
    ( ~ c1_1(a860)
    | c2_1(a860)
    | ~ spl0_18
    | ~ spl0_169 ),
    inference(resolution,[],[f386,f1271]) ).

fof(f2223,plain,
    ( ~ c1_1(a830)
    | c2_1(a830)
    | ~ spl0_18
    | ~ spl0_73 ),
    inference(resolution,[],[f386,f650]) ).

fof(f2226,plain,
    ( spl0_71
    | ~ spl0_72
    | ~ spl0_18
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f2217,f1289,f385,f643,f638]) ).

fof(f2245,plain,
    ( ~ c3_1(a878)
    | c1_1(a878)
    | ~ spl0_34
    | spl0_103 ),
    inference(resolution,[],[f456,f799]) ).

fof(f2257,plain,
    ( c2_1(a831)
    | ~ c1_1(a831)
    | ~ spl0_40
    | spl0_77 ),
    inference(resolution,[],[f484,f670]) ).

fof(f2260,plain,
    ( c2_1(a830)
    | ~ c1_1(a830)
    | ~ spl0_40
    | spl0_75 ),
    inference(resolution,[],[f484,f660]) ).

fof(f2261,plain,
    ( ~ spl0_76
    | spl0_165
    | ~ spl0_40
    | spl0_77 ),
    inference(avatar_split_clause,[],[f2257,f668,f483,f1222,f663]) ).

fof(f2271,plain,
    ( ~ c3_1(a830)
    | c2_1(a830)
    | ~ spl0_42
    | spl0_75 ),
    inference(resolution,[],[f492,f660]) ).

fof(f2277,plain,
    ( ~ c3_1(a817)
    | ~ c1_1(a817)
    | ~ spl0_45
    | spl0_64 ),
    inference(resolution,[],[f506,f605]) ).

fof(f2279,plain,
    ( ~ c3_1(a830)
    | ~ c1_1(a830)
    | ~ spl0_45
    | spl0_75 ),
    inference(resolution,[],[f506,f660]) ).

fof(f2288,plain,
    ( ~ c1_1(a831)
    | c3_1(a831)
    | ~ spl0_37
    | spl0_77 ),
    inference(resolution,[],[f469,f670]) ).

fof(f2293,plain,
    ( spl0_118
    | ~ spl0_76
    | ~ spl0_37
    | spl0_77 ),
    inference(avatar_split_clause,[],[f2288,f668,f468,f663,f871]) ).

fof(f2301,plain,
    ( ~ spl0_72
    | spl0_71
    | ~ spl0_1
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1753,f866,f327,f638,f643]) ).

fof(f2302,plain,
    ( spl0_2
    | ~ spl0_1
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1800,f468,f327,f330]) ).

fof(f2306,plain,
    ( spl0_172
    | spl0_71
    | ~ spl0_14
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2185,f866,f371,f638,f1289]) ).

fof(f2307,plain,
    ( spl0_108
    | spl0_62
    | ~ spl0_14
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2190,f826,f371,f593,f821]) ).

fof(f2321,plain,
    ( spl0_138
    | ~ spl0_102
    | ~ spl0_34
    | spl0_103 ),
    inference(avatar_split_clause,[],[f2245,f797,f455,f792,f971]) ).

fof(f2323,plain,
    ( spl0_97
    | ~ spl0_98
    | ~ spl0_18
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2221,f1269,f385,f773,f768]) ).

fof(f2330,plain,
    ( ~ spl0_94
    | spl0_93
    | ~ spl0_2
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1163,f951,f330,f748,f753]) ).

fof(f2335,plain,
    ( ~ spl0_98
    | spl0_97
    | ~ spl0_2
    | spl0_169 ),
    inference(avatar_split_clause,[],[f1314,f1269,f330,f768,f773]) ).

fof(f2340,plain,
    ( spl0_172
    | ~ spl0_72
    | ~ spl0_11
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1754,f866,f361,f643,f1289]) ).

fof(f2344,plain,
    ( spl0_142
    | ~ spl0_175
    | ~ spl0_17
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1516,f996,f381,f1308,f991]) ).

fof(f2351,plain,
    ( spl0_142
    | spl0_175
    | ~ spl0_4
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2096,f996,f337,f1308,f991]) ).

fof(f2357,plain,
    ( spl0_12
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f2193,f378,f371,f364]) ).

fof(f2360,plain,
    ( spl0_148
    | spl0_147
    | ~ spl0_4
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2094,f1026,f337,f1016,f1021]) ).

fof(f2361,plain,
    ( spl0_169
    | spl0_97
    | ~ spl0_10
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1264,f778,f358,f768,f1269]) ).

fof(f2378,plain,
    ( spl0_126
    | spl0_81
    | ~ spl0_12
    | spl0_125 ),
    inference(avatar_split_clause,[],[f2165,f906,f364,f688,f911]) ).

fof(f2391,plain,
    ( ~ spl0_153
    | spl0_74
    | ~ spl0_40
    | spl0_75 ),
    inference(avatar_split_clause,[],[f2260,f658,f483,f653,f1104]) ).

fof(f2393,plain,
    ( spl0_74
    | ~ spl0_73
    | ~ spl0_42
    | spl0_75 ),
    inference(avatar_split_clause,[],[f2271,f658,f491,f648,f653]) ).

fof(f2444,plain,
    ( spl0_96
    | ~ spl0_157
    | ~ spl0_18
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2210,f758,f385,f1124,f763]) ).

fof(f2447,plain,
    ( spl0_118
    | ~ spl0_165
    | ~ spl0_5
    | spl0_77 ),
    inference(avatar_split_clause,[],[f2148,f668,f341,f1222,f871]) ).

fof(f2478,plain,
    ( c2_1(a857)
    | c1_1(a857)
    | ~ spl0_9
    | ~ spl0_135 ),
    inference(resolution,[],[f355,f958]) ).

fof(f2490,plain,
    ( spl0_157
    | spl0_96
    | ~ spl0_9
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2478,f956,f354,f763,f1124]) ).

fof(f2491,plain,
    ( ~ spl0_100
    | spl0_167
    | ~ spl0_1
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1578,f966,f327,f1232,f783]) ).

fof(f2498,plain,
    ( ~ spl0_100
    | spl0_167
    | ~ spl0_2
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1161,f961,f330,f1232,f783]) ).

fof(f2501,plain,
    ( ~ spl0_76
    | spl0_165
    | ~ spl0_2
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1170,f871,f330,f1222,f663]) ).

fof(f2504,plain,
    ( ~ spl0_154
    | spl0_62
    | ~ spl0_2
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1675,f821,f330,f593,f1109]) ).

fof(f2508,plain,
    ( ~ spl0_167
    | ~ spl0_100
    | ~ spl0_6
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2128,f966,f344,f783,f1232]) ).

fof(f2511,plain,
    ( spl0_136
    | ~ spl0_100
    | ~ spl0_11
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1449,f966,f361,f783,f961]) ).

fof(f2634,plain,
    ( ~ c3_1(a815)
    | c1_1(a815)
    | ~ spl0_17
    | ~ spl0_107 ),
    inference(resolution,[],[f382,f818]) ).

fof(f2669,plain,
    ( c1_1(a827)
    | ~ c2_1(a827)
    | ~ spl0_21
    | ~ spl0_171 ),
    inference(resolution,[],[f396,f1286]) ).

fof(f2672,plain,
    ( c1_1(a817)
    | ~ c2_1(a817)
    | ~ spl0_21
    | ~ spl0_63 ),
    inference(resolution,[],[f396,f600]) ).

fof(f2673,plain,
    ( c1_1(a815)
    | ~ c2_1(a815)
    | ~ spl0_21
    | ~ spl0_61 ),
    inference(resolution,[],[f396,f590]) ).

fof(f2677,plain,
    ( ~ spl0_162
    | spl0_106
    | ~ spl0_21
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f2673,f588,f395,f811,f1207]) ).

fof(f2678,plain,
    ( ~ spl0_115
    | spl0_116
    | ~ spl0_21
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2669,f1284,f395,f861,f856]) ).

fof(f2689,plain,
    ( spl0_106
    | ~ spl0_61
    | ~ spl0_17
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2634,f816,f381,f588,f811]) ).

fof(f2691,plain,
    ( spl0_74
    | ~ spl0_153
    | ~ spl0_18
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2223,f648,f385,f1104,f653]) ).

fof(f2692,plain,
    ( ~ spl0_153
    | ~ spl0_73
    | ~ spl0_45
    | spl0_75 ),
    inference(avatar_split_clause,[],[f2279,f658,f505,f648,f1104]) ).

fof(f2693,plain,
    ( ~ spl0_155
    | ~ spl0_63
    | ~ spl0_45
    | spl0_64 ),
    inference(avatar_split_clause,[],[f2277,f603,f505,f598,f1114]) ).

fof(f2695,plain,
    ( ~ spl0_159
    | spl0_138
    | ~ spl0_21
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1606,f792,f395,f971,f1138]) ).

fof(f2696,plain,
    ( ~ spl0_110
    | spl0_155
    | ~ spl0_21
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f2672,f598,f395,f1114,f831]) ).

fof(f2702,plain,
    ( ~ spl0_163
    | ~ spl0_66
    | ~ spl0_6
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2137,f836,f344,f613,f1212]) ).

fof(f2705,plain,
    ( ~ spl0_98
    | ~ spl0_1
    | ~ spl0_40
    | spl0_97 ),
    inference(avatar_split_clause,[],[f2029,f768,f483,f327,f773]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f339]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f349]) ).

cnf(s3,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f356]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f366]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f383]) ).

cnf(s7,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_19
    | spl0_22 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_14
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_17
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_14
    | spl0_31 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s17,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_14
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_34
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_8
    | ~ spl0_29
    | spl0_37 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_27
    | spl0_33 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s26,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s30,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_40
    | spl0_44 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s31,plain,
    ( ~ spl0_3
    | spl0_37
    | spl0_45 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_40
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_48
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_48
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_11
    | ~ spl0_51
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f542]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_48
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s42,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_44
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_10
    | ~ spl0_36
    | spl0_59 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_42
    | spl0_43
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f579]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | ~ spl0_36
    | spl0_45
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s52,plain,
    ( ~ spl0_3
    | spl0_18
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s53,plain,
    ( spl0_46
    | spl0_61 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s54,plain,
    ( ~ spl0_44
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s55,plain,
    ( ~ spl0_38
    | spl0_63 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s56,plain,
    ( ~ spl0_38
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f606]) ).

cnf(s57,plain,
    ( spl0_29
    | spl0_65 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s58,plain,
    ( spl0_29
    | spl0_66 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s59,plain,
    ( ~ spl0_43
    | spl0_67 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s60,plain,
    ( ~ spl0_43
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s61,plain,
    ( spl0_41
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s62,plain,
    ( ~ spl0_33
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s63,plain,
    ( spl0_49
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s64,plain,
    ( spl0_49
    | spl0_72 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s65,plain,
    ( ~ spl0_22
    | spl0_73 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s66,plain,
    ( ~ spl0_22
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s67,plain,
    ( ~ spl0_22
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s68,plain,
    ( spl0_30
    | spl0_76 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s69,plain,
    ( spl0_30
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s73,plain,
    ( spl0_51
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s74,plain,
    ( ~ spl0_48
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s85,plain,
    ( ~ spl0_26
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s86,plain,
    ( ~ spl0_26
    | spl0_94 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s87,plain,
    ( spl0_52
    | spl0_95 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s88,plain,
    ( spl0_52
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s89,plain,
    ( spl0_50
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s90,plain,
    ( spl0_50
    | spl0_98 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s91,plain,
    ( spl0_50
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s92,plain,
    ( ~ spl0_31
    | spl0_100 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s93,plain,
    ( spl0_101
    | spl0_102 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s94,plain,
    ( spl0_101
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s96,plain,
    ( spl0_46
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s97,plain,
    ( spl0_46
    | spl0_107 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s98,plain,
    ( ~ spl0_44
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s99,plain,
    ( ~ spl0_44
    | spl0_109 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s100,plain,
    ( ~ spl0_38
    | spl0_110 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s101,plain,
    ( spl0_29
    | spl0_111 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s102,plain,
    ( ~ spl0_43
    | spl0_112 ),
    inference(sat_conversion,[],[f844]) ).

cnf(s103,plain,
    ( spl0_41
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s104,plain,
    ( spl0_41
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s105,plain,
    ( ~ spl0_33
    | spl0_115 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s106,plain,
    ( ~ spl0_33
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s107,plain,
    ( spl0_49
    | spl0_117 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s108,plain,
    ( spl0_30
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s115,plain,
    ( spl0_51
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s116,plain,
    ( spl0_51
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s117,plain,
    ( ~ spl0_48
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s118,plain,
    ( ~ spl0_48
    | spl0_128 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s124,plain,
    ( ~ spl0_26
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s125,plain,
    ( spl0_52
    | spl0_135 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s126,plain,
    ( ~ spl0_31
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s127,plain,
    ( ~ spl0_31
    | spl0_137 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s128,plain,
    ( spl0_101
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s132,plain,
    ( spl0_36
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f994]) ).

cnf(s133,plain,
    ( spl0_36
    | spl0_143 ),
    inference(sat_conversion,[],[f999]) ).

cnf(s134,plain,
    ( spl0_60
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1004]) ).

cnf(s135,plain,
    ( spl0_60
    | spl0_145 ),
    inference(sat_conversion,[],[f1009]) ).

cnf(s137,plain,
    ( ~ spl0_59
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s138,plain,
    ( ~ spl0_59
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s139,plain,
    ( ~ spl0_59
    | spl0_149 ),
    inference(sat_conversion,[],[f1029]) ).

cnf(s140,plain,
    ( spl0_23
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s141,plain,
    ( spl0_23
    | spl0_151 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s142,plain,
    ( spl0_23
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s144,plain,
    ( ~ spl0_41
    | ~ spl0_49
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f1046]) ).

cnf(s149,plain,
    ( spl0_26
    | spl0_59
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f1051]) ).

cnf(s170,plain,
    ( spl0_3
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f1072]) ).

cnf(s174,plain,
    ( spl0_3
    | spl0_101 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s178,plain,
    ( spl0_3
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f1080]) ).

cnf(s180,plain,
    ( spl0_48
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f1082]) ).

cnf(s190,plain,
    ( ~ spl0_4
    | spl0_127
    | ~ spl0_128
    | spl0_160 ),
    inference(sat_conversion,[],[f1150]) ).

cnf(s191,plain,
    ( ~ spl0_7
    | spl0_82
    | spl0_127
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1152]) ).

cnf(s193,plain,
    ( ~ spl0_7
    | ~ spl0_102
    | spl0_138
    | spl0_159 ),
    inference(sat_conversion,[],[f1154]) ).

cnf(s197,plain,
    ( ~ spl0_8
    | spl0_69
    | spl0_114
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1220]) ).

cnf(s203,plain,
    ( ~ spl0_9
    | spl0_82
    | spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1243]) ).

cnf(s214,plain,
    ( ~ spl0_10
    | spl0_77
    | spl0_118
    | spl0_165 ),
    inference(sat_conversion,[],[f1293]) ).

cnf(s257,plain,
    ( ~ spl0_12
    | spl0_82
    | spl0_127
    | spl0_160 ),
    inference(sat_conversion,[],[f1410]) ).

cnf(s267,plain,
    ( ~ spl0_13
    | spl0_74
    | spl0_75
    | spl0_153 ),
    inference(sat_conversion,[],[f1420]) ).

cnf(s290,plain,
    ( ~ spl0_15
    | ~ spl0_76
    | spl0_77
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1489]) ).

cnf(s292,plain,
    ( ~ spl0_16
    | spl0_69
    | spl0_113
    | spl0_114 ),
    inference(sat_conversion,[],[f1509]) ).

cnf(s300,plain,
    ( ~ spl0_18
    | ~ spl0_65
    | ~ spl0_66
    | spl0_163 ),
    inference(sat_conversion,[],[f1538]) ).

cnf(s327,plain,
    ( ~ spl0_20
    | spl0_70
    | ~ spl0_115
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1730]) ).

cnf(s342,plain,
    ( ~ spl0_20
    | spl0_68
    | ~ spl0_112
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1841]) ).

cnf(s344,plain,
    ( ~ spl0_37
    | ~ spl0_67
    | spl0_68
    | spl0_170 ),
    inference(sat_conversion,[],[f1846]) ).

cnf(s361,plain,
    ( ~ spl0_7
    | ~ spl0_61
    | spl0_106
    | spl0_162 ),
    inference(sat_conversion,[],[f1927]) ).

cnf(s363,plain,
    ( ~ spl0_14
    | spl0_82
    | ~ spl0_128
    | spl0_160 ),
    inference(sat_conversion,[],[f1929]) ).

cnf(s364,plain,
    ( ~ spl0_19
    | spl0_150
    | ~ spl0_151
    | spl0_152 ),
    inference(sat_conversion,[],[f1930]) ).

cnf(s365,plain,
    ( ~ spl0_19
    | spl0_144
    | ~ spl0_145
    | spl0_158 ),
    inference(sat_conversion,[],[f1931]) ).

cnf(s369,plain,
    ( ~ spl0_19
    | ~ spl0_115
    | spl0_116
    | spl0_171 ),
    inference(sat_conversion,[],[f1935]) ).

cnf(s380,plain,
    ( ~ spl0_27
    | spl0_144
    | ~ spl0_145
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1946]) ).

cnf(s382,plain,
    ( ~ spl0_27
    | ~ spl0_100
    | spl0_136
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1948]) ).

cnf(s400,plain,
    ( ~ spl0_27
    | ~ spl0_76
    | spl0_118
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1966]) ).

cnf(s409,plain,
    ( ~ spl0_12
    | spl0_113
    | spl0_114
    | spl0_164 ),
    inference(sat_conversion,[],[f1975]) ).

cnf(s410,plain,
    ( ~ spl0_12
    | spl0_62
    | spl0_108
    | spl0_154 ),
    inference(sat_conversion,[],[f1976]) ).

cnf(s453,plain,
    ( ~ spl0_8
    | spl0_64
    | ~ spl0_110
    | spl0_155 ),
    inference(sat_conversion,[],[f2083]) ).

cnf(s468,plain,
    ( ~ spl0_18
    | spl0_71
    | ~ spl0_72
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2226]) ).

cnf(s470,plain,
    ( ~ spl0_40
    | ~ spl0_76
    | spl0_77
    | spl0_165 ),
    inference(sat_conversion,[],[f2261]) ).

cnf(s477,plain,
    ( ~ spl0_37
    | ~ spl0_76
    | spl0_77
    | spl0_118 ),
    inference(sat_conversion,[],[f2293]) ).

cnf(s485,plain,
    ( ~ spl0_1
    | spl0_71
    | ~ spl0_72
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f2301]) ).

cnf(s486,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f2302]) ).

cnf(s490,plain,
    ( ~ spl0_14
    | spl0_71
    | ~ spl0_117
    | spl0_172 ),
    inference(sat_conversion,[],[f2306]) ).

cnf(s491,plain,
    ( ~ spl0_14
    | spl0_62
    | spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f2307]) ).

cnf(s505,plain,
    ( ~ spl0_34
    | ~ spl0_102
    | spl0_103
    | spl0_138 ),
    inference(sat_conversion,[],[f2321]) ).

cnf(s507,plain,
    ( ~ spl0_18
    | spl0_97
    | ~ spl0_98
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2323]) ).

cnf(s514,plain,
    ( ~ spl0_2
    | spl0_93
    | ~ spl0_94
    | spl0_134 ),
    inference(sat_conversion,[],[f2330]) ).

cnf(s519,plain,
    ( ~ spl0_2
    | spl0_97
    | ~ spl0_98
    | spl0_169 ),
    inference(sat_conversion,[],[f2335]) ).

cnf(s525,plain,
    ( ~ spl0_11
    | ~ spl0_72
    | ~ spl0_117
    | spl0_172 ),
    inference(sat_conversion,[],[f2340]) ).

cnf(s530,plain,
    ( ~ spl0_17
    | spl0_142
    | ~ spl0_143
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2344]) ).

cnf(s537,plain,
    ( ~ spl0_4
    | spl0_142
    | ~ spl0_143
    | spl0_175 ),
    inference(sat_conversion,[],[f2351]) ).

cnf(s543,plain,
    ( spl0_12
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f2357]) ).

cnf(s546,plain,
    ( ~ spl0_4
    | spl0_147
    | spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f2360]) ).

cnf(s547,plain,
    ( ~ spl0_10
    | spl0_97
    | spl0_99
    | spl0_169 ),
    inference(sat_conversion,[],[f2361]) ).

cnf(s564,plain,
    ( ~ spl0_12
    | spl0_81
    | spl0_125
    | spl0_126 ),
    inference(sat_conversion,[],[f2378]) ).

cnf(s577,plain,
    ( ~ spl0_40
    | spl0_74
    | spl0_75
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2391]) ).

cnf(s579,plain,
    ( ~ spl0_42
    | ~ spl0_73
    | spl0_74
    | spl0_75 ),
    inference(sat_conversion,[],[f2393]) ).

cnf(s594,plain,
    ( ~ spl0_18
    | ~ spl0_95
    | spl0_96
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2444]) ).

cnf(s597,plain,
    ( ~ spl0_5
    | spl0_77
    | spl0_118
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2447]) ).

cnf(s599,plain,
    ( ~ spl0_9
    | spl0_96
    | ~ spl0_135
    | spl0_157 ),
    inference(sat_conversion,[],[f2490]) ).

cnf(s600,plain,
    ( ~ spl0_1
    | ~ spl0_100
    | ~ spl0_137
    | spl0_167 ),
    inference(sat_conversion,[],[f2491]) ).

cnf(s608,plain,
    ( ~ spl0_2
    | ~ spl0_100
    | spl0_136
    | spl0_167 ),
    inference(sat_conversion,[],[f2498]) ).

cnf(s611,plain,
    ( ~ spl0_2
    | ~ spl0_76
    | spl0_118
    | spl0_165 ),
    inference(sat_conversion,[],[f2501]) ).

cnf(s614,plain,
    ( ~ spl0_2
    | spl0_62
    | spl0_108
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2504]) ).

cnf(s618,plain,
    ( ~ spl0_6
    | ~ spl0_100
    | ~ spl0_137
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2508]) ).

cnf(s621,plain,
    ( ~ spl0_11
    | ~ spl0_100
    | spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2511]) ).

cnf(s648,plain,
    ( ~ spl0_21
    | ~ spl0_61
    | spl0_106
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2677]) ).

cnf(s649,plain,
    ( ~ spl0_21
    | ~ spl0_115
    | spl0_116
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2678]) ).

cnf(s660,plain,
    ( ~ spl0_17
    | ~ spl0_61
    | spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f2689]) ).

cnf(s662,plain,
    ( ~ spl0_18
    | ~ spl0_73
    | spl0_74
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2691]) ).

cnf(s663,plain,
    ( ~ spl0_45
    | ~ spl0_73
    | spl0_75
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2692]) ).

cnf(s664,plain,
    ( ~ spl0_45
    | ~ spl0_63
    | spl0_64
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2693]) ).

cnf(s666,plain,
    ( ~ spl0_21
    | ~ spl0_102
    | spl0_138
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2695]) ).

cnf(s667,plain,
    ( ~ spl0_21
    | ~ spl0_63
    | ~ spl0_110
    | spl0_155 ),
    inference(sat_conversion,[],[f2696]) ).

cnf(s673,plain,
    ( ~ spl0_6
    | ~ spl0_66
    | ~ spl0_111
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2702]) ).

cnf(s679,plain,
    ( ~ spl0_1
    | ~ spl0_40
    | spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f2705]) ).

cnf(s685,plain,
    spl0_3,
    inference(rat,[],[s149,s170,s174,s178]) ).

cnf(s686,plain,
    ( spl0_51
    | ~ spl0_12 ),
    inference(rat,[],[s564,s73,s115,s116]) ).

cnf(s688,plain,
    ( spl0_18
    | spl0_1 ),
    inference(rat,[],[s8,s649,s327,s369,s62,s105,s106,s23,s380,s365,s134,s135,s7,s52,s685]) ).

cnf(s689,plain,
    ( ~ spl0_44
    | ~ spl0_14 ),
    inference(rat,[],[s491,s54,s98,s99]) ).

cnf(s690,plain,
    ( ~ spl0_59
    | ~ spl0_4 ),
    inference(rat,[],[s546,s137,s138,s139]) ).

cnf(s692,plain,
    ( ~ spl0_14
    | spl0_12
    | spl0_17
    | spl0_1 ),
    inference(rat,[],[s290,s470,s68,s69,s30,s15,s6,s689,s543,s685]) ).

cnf(s693,plain,
    ( spl0_75
    | spl0_74
    | ~ spl0_40
    | ~ spl0_13 ),
    inference(rat,[],[s577,s267]) ).

cnf(s695,plain,
    ( spl0_49
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(rat,[],[s468,s525,s63,s64,s107]) ).

cnf(s696,plain,
    ( ~ spl0_48
    | ~ spl0_9 ),
    inference(rat,[],[s203,s74,s117,s118]) ).

cnf(s697,plain,
    ( spl0_52
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(rat,[],[s594,s599,s87,s88,s125]) ).

cnf(s698,plain,
    ( ~ spl0_9
    | ~ spl0_7
    | spl0_1 ),
    inference(rat,[],[s507,s547,s89,s90,s91,s38,s400,s214,s4,s686,s39,s697,s68,s69,s108,s17,s490,s468,s695,s63,s64,s107,s36,s666,s193,s93,s128,s180,s696,s688,s685]) ).

cnf(s699,plain,
    ( spl0_36
    | ~ spl0_17
    | ~ spl0_4 ),
    inference(rat,[],[s530,s537,s132,s133]) ).

cnf(s700,plain,
    ( ~ spl0_17
    | spl0_45
    | ~ spl0_4 ),
    inference(rat,[],[s660,s53,s96,s97,s51,s699,s685]) ).

cnf(s701,plain,
    ( spl0_30
    | ~ spl0_37 ),
    inference(rat,[],[s477,s68,s69,s108]) ).

cnf(s704,plain,
    ( spl0_49
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(rat,[],[s490,s468,s63,s64,s107]) ).

cnf(s705,plain,
    ( spl0_50
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(rat,[],[s507,s547,s89,s90,s91]) ).

cnf(s707,plain,
    ( ~ spl0_22
    | ~ spl0_42 ),
    inference(rat,[],[s579,s65,s66,s67]) ).

cnf(s708,plain,
    ( ~ spl0_48
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s191,s190,s74,s117,s118]) ).

cnf(s709,plain,
    ( ~ spl0_7
    | ~ spl0_36
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s505,s93,s94,s128,s180,s708,s20,s698,s685]) ).

cnf(s710,plain,
    ( ~ spl0_17
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s3,s453,s696,s664,s38,s55,s56,s100,s400,s26,s214,s701,s68,s69,s108,s17,s689,s42,s709,s705,s47,s700,s699,s688,s690,s1,s685]) ).

cnf(s711,plain,
    ( ~ spl0_14
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s696,s3,s41,s197,s292,s409,s61,s103,s104,s144,s686,s704,s692,s688,s710,s685]) ).

cnf(s712,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s214,s4,s597,s686,s2,s39,s673,s695,s300,s36,s57,s58,s101,s698,s697,s696,s22,s3,s453,s667,s664,s55,s56,s100,s26,s31,s701,s69,s108,s17,s711,s688,s685]) ).

cnf(s716,plain,
    ( spl0_50
    | spl0_1 ),
    inference(rat,[],[s507,s519,s89,s90,s688,s712]) ).

cnf(s717,plain,
    ( ~ spl0_48
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(rat,[],[s363,s191,s74,s117,s118]) ).

cnf(s718,plain,
    ( ~ spl0_14
    | spl0_1 ),
    inference(rat,[],[s193,s666,s93,s128,s36,s180,s717,s42,s704,s689,s688,s716,s685]) ).

cnf(s719,plain,
    ( spl0_44
    | spl0_1 ),
    inference(rat,[],[s267,s577,s66,s67,s9,s364,s5,s140,s141,s142,s257,s10,s191,s708,s42,s30,s117,s74,s38,s400,s611,s712,s68,s108,s17,s718,s716,s685]) ).

cnf(s720,plain,
    ( spl0_7
    | spl0_1 ),
    inference(rat,[],[s608,s618,s92,s126,s127,s2,s16,s597,s611,s68,s712,s108,s69,s17,s718,s685]) ).

cnf(s721,plain,
    spl0_1,
    inference(rat,[],[s663,s267,s65,s66,s67,s9,s364,s140,s141,s142,s10,s708,s720,s5,s410,s614,s54,s98,s719,s38,s400,s31,s611,s701,s68,s108,s17,s718,s716,s712,s685]) ).

cnf(s723,plain,
    ( ~ spl0_18
    | spl0_50
    | ~ spl0_14 ),
    inference(rat,[],[s696,s3,s36,s453,s667,s664,s55,s56,s100,s26,s31,s486,s519,s507,s704,s90,s89,s685,s721]) ).

cnf(s724,plain,
    ( spl0_2
    | spl0_9 ),
    inference(rat,[],[s664,s453,s55,s56,s100,s26,s31,s3,s486,s685,s721]) ).

cnf(s725,plain,
    spl0_49,
    inference(rat,[],[s485,s63,s64,s107,s721]) ).

cnf(s726,plain,
    ( spl0_16
    | ~ spl0_2
    | spl0_17 ),
    inference(rat,[],[s290,s611,s68,s69,s108,s15,s6,s685]) ).

cnf(s728,plain,
    ( spl0_16
    | spl0_17 ),
    inference(rat,[],[s667,s664,s36,s55,s56,s100,s696,s26,s31,s724,s701,s726,s15,s725,s685]) ).

cnf(s730,plain,
    ( ~ spl0_16
    | ~ spl0_14 ),
    inference(rat,[],[s292,s61,s103,s104,s144,s686,s543,s725]) ).

cnf(s731,plain,
    ( spl0_46
    | ~ spl0_17 ),
    inference(rat,[],[s660,s53,s96,s97]) ).

cnf(s732,plain,
    ( ~ spl0_7
    | ~ spl0_14 ),
    inference(rat,[],[s193,s666,s93,s128,s36,s180,s717,s725,s685]) ).

cnf(s733,plain,
    ~ spl0_14,
    inference(rat,[],[s32,s679,s723,s89,s90,s42,s732,s731,s728,s730,s689,s685,s721]) ).

cnf(s734,plain,
    ( ~ spl0_7
    | ~ spl0_48 ),
    inference(rat,[],[s8,s648,s342,s361,s344,s53,s96,s31,s32,s59,s60,s102,s663,s662,s49,s693,s267,s707,s65,s66,s67,s9,s364,s5,s140,s141,s142,s257,s10,s191,s708,s117,s74,s685,s725,s733]) ).

cnf(s735,plain,
    ~ spl0_48,
    inference(rat,[],[s514,s85,s86,s124,s12,s382,s608,s621,s92,s126,s127,s16,s734,s724,s696,s685,s733]) ).

cnf(s736,plain,
    ~ spl0_101,
    inference(rat,[],[s180,s735]) ).

cnf(s737,plain,
    spl0_21,
    inference(rat,[],[s36,s725,s685,s735]) ).

cnf(s738,plain,
    ~ spl0_138,
    inference(rat,[],[s128,s736]) ).

cnf(s740,plain,
    spl0_102,
    inference(rat,[],[s93,s736]) ).

cnf(s741,plain,
    ~ spl0_159,
    inference(rat,[],[s666,s740,s738,s737]) ).

cnf(s743,plain,
    ~ spl0_7,
    inference(rat,[],[s193,s738,s740,s741]) ).

cnf(s745,plain,
    spl0_31,
    inference(rat,[],[s16,s733,s685,s743]) ).

cnf(s747,plain,
    spl0_137,
    inference(rat,[],[s127,s745]) ).

cnf(s748,plain,
    ~ spl0_136,
    inference(rat,[],[s126,s745]) ).

cnf(s749,plain,
    spl0_100,
    inference(rat,[],[s92,s745]) ).

cnf(s753,plain,
    ~ spl0_11,
    inference(rat,[],[s621,s747,s748,s749]) ).

cnf(s754,plain,
    spl0_167,
    inference(rat,[],[s600,s747,s721,s749]) ).

cnf(s757,plain,
    ~ spl0_27,
    inference(rat,[],[s382,s749,s748,s754]) ).

cnf(s760,plain,
    spl0_26,
    inference(rat,[],[s12,s753,s685,s757]) ).

cnf(s764,plain,
    ~ spl0_134,
    inference(rat,[],[s124,s760]) ).

cnf(s765,plain,
    spl0_94,
    inference(rat,[],[s86,s760]) ).

cnf(s766,plain,
    ~ spl0_93,
    inference(rat,[],[s85,s760]) ).

cnf(s768,plain,
    ~ spl0_2,
    inference(rat,[],[s514,s764,s765,s766]) ).

cnf(s770,plain,
    ~ spl0_37,
    inference(rat,[],[s486,s721,s768]) ).

cnf(s773,plain,
    spl0_45,
    inference(rat,[],[s31,s685,s770]) ).

cnf(s774,plain,
    spl0_38,
    inference(rat,[],[s26,s768,s685,s770]) ).

cnf(s776,plain,
    spl0_110,
    inference(rat,[],[s100,s774]) ).

cnf(s777,plain,
    ~ spl0_64,
    inference(rat,[],[s56,s774]) ).

cnf(s778,plain,
    spl0_63,
    inference(rat,[],[s55,s774]) ).

cnf(s784,plain,
    ~ spl0_155,
    inference(rat,[],[s664,s777,s773,s778]) ).

cnf(s785,plain,
    $false,
    inference(rat,[],[s667,s737,s776,s778,s784]) ).

fof(f2711,plain,
    $false,
    inference(avatar_sat_refutation,[],[s785]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN452-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.18  % Computer : n019.cluster.edu
% 0.10/0.18  % Model    : x86_64 x86_64
% 0.10/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18  % Memory   : 8046.5625MB
% 0.10/0.18  % OS       : Linux 6.8.0-71-generic
% 0.10/0.18  % CPULimit : 300
% 0.10/0.18  % WCLimit  : 300
% 0.10/0.18  % DateTime : Mon Sep 28 16:05:33 UTC 2026
% 0.10/0.18  % CPUTime  : 
% 0.10/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21  Running first-order model finding
% 0.10/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.30  % (4124438)Will run a generic schedule for satisfiability detection.
% 0.17/0.30  % (4124445)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=734977059:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.30  % (4124444)% WARNING: option uhcvi not known.
% 0.17/0.30  % (4124443)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1314678416_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.30  % (4124444)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=304603616:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.30  % (4124446)dis+10_1_sil=32000:sp=arity:random_seed=357029400:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.30  % (4124447)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=886839710:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.30  % (4124449)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2671133206:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.30  % (4124448)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3107315546:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.30  % Detected minimum model sizes of [1]
% 0.17/0.30  % Detected maximum model sizes of [30]
% 0.17/0.30  % TRYING [1]
% 0.17/0.30  % TRYING [2]
% 0.17/0.30  % TRYING [3]
% 0.17/0.30  % TRYING [4]
% 0.17/0.30  % (4124449) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4124438-4124449"...
% 0.17/0.30  % (4124449)...printing done.
% 0.17/0.30  % (4124449)Refutation found. Thanks to Tanya!
% 0.17/0.30  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.31  % (4124449)------------------------------
% 0.17/0.31  % (4124449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.31  % (4124449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.31  % (4124449)CaDiCaL version: 2.1.3
% 0.17/0.31  % (4124449)Termination reason: Refutation
% 0.17/0.31  % (4124449)Time elapsed: 0.035 s
% 0.17/0.31  % (4124449)Peak memory usage: 13 MB
% 0.17/0.31  % (4124449)Instructions burned: 56 (million)
% 0.17/0.31  % (4124438)Success in time 0.081 s
% 0.17/0.31  % Vampire exiting
%------------------------------------------------------------------------------