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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN444-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : 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 01:51:38 PM UTC 2026

% Result   : Unsatisfiable 3.01s 1.10s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :  295
% Syntax   : Number of formulae    : 1025 (  37 unt; 159 def)
%            Number of atoms       : 3215 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3867 (1677   ~;2031   |;   0   &)
%                                         ( 159 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  193 ( 192 usr; 189 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  173 (   0 sgn 173   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,negated_conjecture,
    ( ~ hskp23
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f9,negated_conjecture,
    ( ~ hskp20
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).

fof(f11,negated_conjecture,
    ( ~ hskp18
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

fof(f30,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

fof(f32,negated_conjecture,
    ( hskp24
    | hskp8
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f34,negated_conjecture,
    ( hskp25
    | hskp2
    | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( hskp10
    | hskp11
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( ~ hskp28
    | c0_1(a246) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( ~ hskp28
    | c1_1(a246) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( ~ hskp28
    | c2_1(a246) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( ~ hskp27
    | c0_1(a232) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp27
    | c2_1(a232) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp27
    | c3_1(a232) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp26
    | c1_1(a223) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp26
    | c2_1(a223) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp26
    | c3_1(a223) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp25
    | c1_1(a288) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp24
    | c0_1(a282) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp22
    | c1_1(a263) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp22
    | c3_1(a263) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp21
    | c1_1(a260) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp20
    | c0_1(a259) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp20
    | c1_1(a259) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp19
    | c1_1(a252) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp18
    | c0_1(a247) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp18
    | c3_1(a247) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp16
    | c1_1(a239) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp16
    | c2_1(a239) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp15
    | c0_1(a238) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp15
    | c2_1(a238) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp14
    | c0_1(a237) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp14
    | c2_1(a237) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp11
    | c2_1(a230) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp11
    | c3_1(a230) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp10
    | c2_1(a229) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp10
    | c3_1(a229) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp9
    | c3_1(a228) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp8
    | c0_1(a225) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp7
    | c0_1(a224) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp7
    | c3_1(a224) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp6
    | c0_1(a221) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp6
    | c1_1(a221) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f72,negated_conjecture,
    ( ~ hskp4
    | c3_1(a218) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp3
    | c3_1(a216) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp2
    | c2_1(a215) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp1
    | c1_1(a214) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp1
    | c2_1(a214) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp0
    | c1_1(a213) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp0
    | c3_1(a213) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ c0_1(a288)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ c3_1(a288)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ c1_1(a282)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ c3_1(a282)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ c0_1(a278)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ c2_1(a278)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ c3_1(a278)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ c0_1(a263)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ c0_1(a260)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c2_1(a260)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c3_1(a259)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c2_1(a252)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ c3_1(a252)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ c2_1(a247)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c0_1(a243)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c1_1(a243)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c2_1(a243)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c3_1(a239)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c3_1(a238)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c1_1(a237)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c1_1(a236)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c2_1(a236)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c3_1(a236)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c0_1(a235)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c1_1(a235)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c3_1(a235)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c1_1(a230)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c0_1(a229)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c1_1(a228)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c2_1(a228)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c2_1(a225)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c3_1(a225)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c1_1(a224)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c2_1(a221)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f115,negated_conjecture,
    ( ~ c0_1(a218)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c1_1(a218)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c0_1(a216)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c2_1(a216)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c0_1(a215)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c1_1(a215)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c0_1(a214)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c2_1(a213)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | hskp2
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp8
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f126,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp1
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp10
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp15
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f131,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp14
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp16
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp28
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp28
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp20
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp20
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp22
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp8
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp0
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp4
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f143,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f147,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

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

fof(f151,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f154,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f168,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

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

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

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

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

fof(f178,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f179,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f181,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f182,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f184,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f187,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f188,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f189,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f176,f187,f184,f181,f178]) ).

fof(f191,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f192,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f194,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f195,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f197,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f198,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f199,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f175,f197,f184,f194,f191]) ).

fof(f201,definition,
    ( spl0_8
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f202,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f204,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f205,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f206,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f174,f197,f184,f204,f201]) ).

fof(f208,definition,
    ( spl0_10
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f209,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f211,definition,
    ( spl0_11
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f212,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f214,definition,
    ( spl0_12
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f215,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f216,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f173,f214,f184,f211,f208]) ).

fof(f218,definition,
    ( spl0_13
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f219,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f221,definition,
    ( spl0_14
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f222,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f224,definition,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f225,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f226,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f172,f224,f184,f221,f218]) ).

fof(f228,definition,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f229,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f230,plain,
    ( spl0_13
    | spl0_2
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f171,f228,f184,f181,f218]) ).

fof(f232,definition,
    ( spl0_17
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f233,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f235,definition,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f236,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f238,definition,
    ( spl0_19
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f239,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f240,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f170,f238,f184,f235,f232]) ).

fof(f242,definition,
    ( spl0_20
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f243,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f244,plain,
    ( spl0_20
    | spl0_12
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f169,f228,f184,f214,f242]) ).

fof(f246,definition,
    ( spl0_21
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f247,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f249,definition,
    ( spl0_22
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f250,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f251,plain,
    ( spl0_21
    | spl0_12
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f168,f249,f184,f214,f246]) ).

fof(f253,definition,
    ( spl0_23
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f256,definition,
    ( spl0_24
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f257,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f260,definition,
    ( spl0_25
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f262,plain,
    ( spl0_25
    | spl0_6
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f166,f256,f184,f194,f260]) ).

fof(f264,definition,
    ( spl0_26
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f268,definition,
    ( spl0_27
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f271,definition,
    ( spl0_28
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f272,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f273,plain,
    ( spl0_27
    | spl0_28
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f164,f221,f184,f271,f268]) ).

fof(f275,definition,
    ( spl0_29
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f277,plain,
    ( spl0_29
    | spl0_2
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f163,f238,f184,f181,f275]) ).

fof(f279,definition,
    ( spl0_30
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f282,definition,
    ( spl0_31
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f283,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f284,plain,
    ( spl0_30
    | spl0_1
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f162,f282,f184,f178,f279]) ).

fof(f286,definition,
    ( spl0_32
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f288,plain,
    ( spl0_32
    | spl0_9
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f161,f221,f184,f204,f286]) ).

fof(f290,definition,
    ( spl0_33
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f292,plain,
    ( spl0_33
    | spl0_14
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f160,f224,f184,f221,f290]) ).

fof(f294,definition,
    ( spl0_34
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f296,plain,
    ( spl0_34
    | spl0_12
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f159,f228,f184,f214,f294]) ).

fof(f298,definition,
    ( spl0_35
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f300,plain,
    ( spl0_35
    | spl0_12
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f158,f249,f184,f214,f298]) ).

fof(f306,definition,
    ( spl0_37
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f309,definition,
    ( spl0_38
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f310,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f311,plain,
    ( spl0_37
    | spl0_38
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f156,f238,f184,f309,f306]) ).

fof(f313,definition,
    ( spl0_39
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f315,plain,
    ( spl0_39
    | spl0_38
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f155,f238,f184,f309,f313]) ).

fof(f317,definition,
    ( spl0_40
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f319,plain,
    ( spl0_40
    | spl0_18
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f154,f194,f184,f235,f317]) ).

fof(f322,definition,
    ( spl0_41
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f324,plain,
    ( spl0_41
    | spl0_5
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f152,f208,f184,f191,f322]) ).

fof(f326,definition,
    ( spl0_42
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f328,plain,
    ( spl0_42
    | spl0_17
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f151,f256,f184,f232,f326]) ).

fof(f329,plain,
    ( spl0_20
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f150,f256,f184,f242]) ).

fof(f334,definition,
    ( spl0_44
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f335,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f338,definition,
    ( spl0_45
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f341,definition,
    ( spl0_46
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f342,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f343,plain,
    ( spl0_45
    | spl0_46
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f148,f187,f184,f341,f338]) ).

fof(f345,definition,
    ( spl0_47
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f346,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f347,plain,
    ( spl0_26
    | spl0_17
    | ~ spl0_3
    | spl0_47 ),
    inference(avatar_split_clause,[],[f147,f345,f184,f232,f264]) ).

fof(f348,plain,
    ( spl0_30
    | spl0_17
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f146,f178,f184,f232,f279]) ).

fof(f350,definition,
    ( spl0_48
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f351,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f352,plain,
    ( spl0_25
    | spl0_20
    | ~ spl0_3
    | spl0_48 ),
    inference(avatar_split_clause,[],[f145,f350,f184,f242,f260]) ).

fof(f353,plain,
    ( spl0_39
    | spl0_46
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f144,f282,f184,f341,f313]) ).

fof(f354,plain,
    ( spl0_39
    | spl0_17
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f143,f224,f184,f232,f313]) ).

fof(f356,plain,
    ( spl0_32
    | spl0_41
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f141,f194,f184,f322,f286]) ).

fof(f358,definition,
    ( spl0_49
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f360,plain,
    ( spl0_49
    | spl0_39
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f140,f194,f184,f313,f358]) ).

fof(f362,definition,
    ( spl0_50
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f364,plain,
    ( spl0_25
    | spl0_50
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f139,f194,f184,f362,f260]) ).

fof(f366,definition,
    ( spl0_51
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f368,plain,
    ( spl0_49
    | spl0_51
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f138,f228,f184,f366,f358]) ).

fof(f369,plain,
    ( spl0_32
    | spl0_23
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f137,f228,f184,f253,f286]) ).

fof(f371,definition,
    ( spl0_52
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f373,plain,
    ( spl0_52
    | spl0_23
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f136,f249,f184,f253,f371]) ).

fof(f375,plain,
    ( spl0_34
    | spl0_35
    | ~ spl0_3
    | spl0_44 ),
    inference(avatar_split_clause,[],[f134,f334,f184,f298,f294]) ).

fof(f377,definition,
    ( spl0_53
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f379,plain,
    ( spl0_53
    | spl0_35
    | ~ spl0_3
    | spl0_44 ),
    inference(avatar_split_clause,[],[f133,f334,f184,f298,f377]) ).

fof(f381,definition,
    ( spl0_54
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f384,definition,
    ( spl0_55
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f386,plain,
    ( spl0_54
    | spl0_55
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f132,f204,f184,f384,f381]) ).

fof(f388,definition,
    ( spl0_56
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f390,plain,
    ( spl0_53
    | spl0_56
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f131,f204,f184,f388,f377]) ).

fof(f392,definition,
    ( spl0_57
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f396,definition,
    ( spl0_58
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f397,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f398,plain,
    ( spl0_33
    | ~ spl0_3
    | spl0_58 ),
    inference(avatar_split_clause,[],[f129,f396,f184,f290]) ).

fof(f399,plain,
    ( spl0_39
    | spl0_53
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f128,f224,f184,f377,f313]) ).

fof(f400,plain,
    ( spl0_29
    | spl0_57
    | ~ spl0_3
    | spl0_48 ),
    inference(avatar_split_clause,[],[f127,f350,f184,f392,f275]) ).

fof(f401,plain,
    ( spl0_40
    | spl0_45
    | ~ spl0_3
    | spl0_48 ),
    inference(avatar_split_clause,[],[f126,f350,f184,f338,f317]) ).

fof(f403,plain,
    ( spl0_39
    | spl0_50
    | spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f124,f184,f232,f362,f313]) ).

fof(f404,plain,
    ( spl0_25
    | spl0_54
    | spl0_46
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f123,f184,f341,f381,f260]) ).

fof(f407,definition,
    ( spl0_59
  <=> c2_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f408,plain,
    ( ~ c2_1(a213)
    | spl0_59 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f409,plain,
    ( ~ spl0_39
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f122,f407,f313]) ).

fof(f412,definition,
    ( spl0_60
  <=> c0_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f414,plain,
    ( ~ spl0_45
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f121,f412,f338]) ).

fof(f417,definition,
    ( spl0_61
  <=> c1_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f418,plain,
    ( ~ c1_1(a215)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f419,plain,
    ( ~ spl0_54
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f120,f417,f381]) ).

fof(f421,definition,
    ( spl0_62
  <=> c0_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f423,plain,
    ( ~ spl0_54
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f119,f421,f381]) ).

fof(f426,definition,
    ( spl0_63
  <=> c2_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f427,plain,
    ( ~ c2_1(a216)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f428,plain,
    ( ~ spl0_25
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f118,f426,f260]) ).

fof(f430,definition,
    ( spl0_64
  <=> c0_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f432,plain,
    ( ~ spl0_25
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f117,f430,f260]) ).

fof(f435,definition,
    ( spl0_65
  <=> c1_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f436,plain,
    ( ~ c1_1(a218)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f437,plain,
    ( ~ spl0_41
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f116,f435,f322]) ).

fof(f439,definition,
    ( spl0_66
  <=> c0_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f441,plain,
    ( ~ spl0_41
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f115,f439,f322]) ).

fof(f453,definition,
    ( spl0_69
  <=> c2_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f454,plain,
    ( ~ c2_1(a221)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f455,plain,
    ( ~ spl0_30
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f112,f453,f279]) ).

fof(f458,definition,
    ( spl0_70
  <=> c1_1(a224) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f459,plain,
    ( ~ c1_1(a224)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f460,plain,
    ( ~ spl0_42
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f111,f458,f326]) ).

fof(f463,definition,
    ( spl0_71
  <=> c3_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f465,plain,
    ( ~ spl0_50
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f110,f463,f362]) ).

fof(f467,definition,
    ( spl0_72
  <=> c2_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f468,plain,
    ( ~ c2_1(a225)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f469,plain,
    ( ~ spl0_50
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f109,f467,f362]) ).

fof(f472,definition,
    ( spl0_73
  <=> c2_1(a228) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f473,plain,
    ( ~ c2_1(a228)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f474,plain,
    ( ~ spl0_40
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f108,f472,f317]) ).

fof(f476,definition,
    ( spl0_74
  <=> c1_1(a228) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f477,plain,
    ( ~ c1_1(a228)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f478,plain,
    ( ~ spl0_40
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f107,f476,f317]) ).

fof(f481,definition,
    ( spl0_75
  <=> c0_1(a229) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f483,plain,
    ( ~ spl0_57
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f106,f481,f392]) ).

fof(f486,definition,
    ( spl0_76
  <=> c1_1(a230) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f487,plain,
    ( ~ c1_1(a230)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f488,plain,
    ( ~ spl0_29
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f105,f486,f275]) ).

fof(f491,definition,
    ( spl0_77
  <=> c3_1(a235) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f493,plain,
    ( ~ spl0_49
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f104,f491,f358]) ).

fof(f495,definition,
    ( spl0_78
  <=> c1_1(a235) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f496,plain,
    ( ~ c1_1(a235)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f497,plain,
    ( ~ spl0_49
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f103,f495,f358]) ).

fof(f499,definition,
    ( spl0_79
  <=> c0_1(a235) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f501,plain,
    ( ~ spl0_49
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f102,f499,f358]) ).

fof(f504,definition,
    ( spl0_80
  <=> c3_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f506,plain,
    ( ~ spl0_32
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f101,f504,f286]) ).

fof(f508,definition,
    ( spl0_81
  <=> c2_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f509,plain,
    ( ~ c2_1(a236)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f510,plain,
    ( ~ spl0_32
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f100,f508,f286]) ).

fof(f512,definition,
    ( spl0_82
  <=> c1_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f513,plain,
    ( ~ c1_1(a236)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f514,plain,
    ( ~ spl0_32
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f99,f512,f286]) ).

fof(f517,definition,
    ( spl0_83
  <=> c1_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f518,plain,
    ( ~ c1_1(a237)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f519,plain,
    ( ~ spl0_56
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f98,f517,f388]) ).

fof(f522,definition,
    ( spl0_84
  <=> c3_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f524,plain,
    ( ~ spl0_53
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f97,f522,f377]) ).

fof(f527,definition,
    ( spl0_85
  <=> c3_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f529,plain,
    ( ~ spl0_55
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f96,f527,f384]) ).

fof(f532,definition,
    ( spl0_86
  <=> c2_1(a243) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f533,plain,
    ( ~ c2_1(a243)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f534,plain,
    ( ~ spl0_37
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f95,f532,f306]) ).

fof(f536,definition,
    ( spl0_87
  <=> c1_1(a243) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f537,plain,
    ( ~ c1_1(a243)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f538,plain,
    ( ~ spl0_37
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f94,f536,f306]) ).

fof(f540,definition,
    ( spl0_88
  <=> c0_1(a243) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f542,plain,
    ( ~ spl0_37
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f93,f540,f306]) ).

fof(f545,definition,
    ( spl0_89
  <=> c2_1(a247) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f546,plain,
    ( ~ c2_1(a247)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f547,plain,
    ( ~ spl0_34
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f92,f545,f294]) ).

fof(f550,definition,
    ( spl0_90
  <=> c3_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f552,plain,
    ( ~ spl0_27
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f91,f550,f268]) ).

fof(f554,definition,
    ( spl0_91
  <=> c2_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f555,plain,
    ( ~ c2_1(a252)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f556,plain,
    ( ~ spl0_27
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f90,f554,f268]) ).

fof(f559,definition,
    ( spl0_92
  <=> c3_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f561,plain,
    ( ~ spl0_23
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f89,f559,f253]) ).

fof(f564,definition,
    ( spl0_93
  <=> c2_1(a260) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f565,plain,
    ( ~ c2_1(a260)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f566,plain,
    ( ~ spl0_52
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f88,f564,f371]) ).

fof(f568,definition,
    ( spl0_94
  <=> c0_1(a260) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f570,plain,
    ( ~ spl0_52
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f87,f568,f371]) ).

fof(f573,definition,
    ( spl0_95
  <=> c0_1(a263) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f575,plain,
    ( ~ spl0_51
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f86,f573,f366]) ).

fof(f577,definition,
    ( spl0_96
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f580,definition,
    ( spl0_97
  <=> c3_1(a278) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f582,plain,
    ( ~ spl0_96
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f85,f580,f577]) ).

fof(f584,definition,
    ( spl0_98
  <=> c2_1(a278) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f585,plain,
    ( ~ c2_1(a278)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f586,plain,
    ( ~ spl0_96
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f84,f584,f577]) ).

fof(f588,definition,
    ( spl0_99
  <=> c0_1(a278) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f590,plain,
    ( ~ spl0_96
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f83,f588,f577]) ).

fof(f592,definition,
    ( spl0_100
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f595,definition,
    ( spl0_101
  <=> c3_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f597,plain,
    ( ~ spl0_100
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f82,f595,f592]) ).

fof(f599,definition,
    ( spl0_102
  <=> c1_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f600,plain,
    ( ~ c1_1(a282)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f601,plain,
    ( ~ spl0_100
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f81,f599,f592]) ).

fof(f603,definition,
    ( spl0_103
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f606,definition,
    ( spl0_104
  <=> c3_1(a288) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f608,plain,
    ( ~ spl0_103
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f80,f606,f603]) ).

fof(f610,definition,
    ( spl0_105
  <=> c0_1(a288) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f612,plain,
    ( ~ spl0_103
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f79,f610,f603]) ).

fof(f614,definition,
    ( spl0_106
  <=> c3_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f616,plain,
    ( spl0_106
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f78,f313,f614]) ).

fof(f618,definition,
    ( spl0_107
  <=> c1_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f619,plain,
    ( c1_1(a213)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f620,plain,
    ( spl0_107
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f77,f313,f618]) ).

fof(f622,definition,
    ( spl0_108
  <=> c2_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f623,plain,
    ( c2_1(a214)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f624,plain,
    ( spl0_108
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f76,f338,f622]) ).

fof(f626,definition,
    ( spl0_109
  <=> c1_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f627,plain,
    ( c1_1(a214)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f628,plain,
    ( spl0_109
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f75,f338,f626]) ).

fof(f630,definition,
    ( spl0_110
  <=> c2_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f631,plain,
    ( c2_1(a215)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f632,plain,
    ( spl0_110
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f74,f381,f630]) ).

fof(f634,definition,
    ( spl0_111
  <=> c3_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f636,plain,
    ( spl0_111
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f73,f260,f634]) ).

fof(f638,definition,
    ( spl0_112
  <=> c3_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f640,plain,
    ( spl0_112
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f72,f322,f638]) ).

fof(f646,definition,
    ( spl0_114
  <=> c1_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f647,plain,
    ( c1_1(a221)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f648,plain,
    ( spl0_114
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f70,f279,f646]) ).

fof(f650,definition,
    ( spl0_115
  <=> c0_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f652,plain,
    ( spl0_115
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f69,f279,f650]) ).

fof(f654,definition,
    ( spl0_116
  <=> c3_1(a224) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f656,plain,
    ( spl0_116
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f68,f326,f654]) ).

fof(f658,definition,
    ( spl0_117
  <=> c0_1(a224) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f660,plain,
    ( spl0_117
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f67,f326,f658]) ).

fof(f662,definition,
    ( spl0_118
  <=> c0_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f664,plain,
    ( spl0_118
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f66,f362,f662]) ).

fof(f666,definition,
    ( spl0_119
  <=> c3_1(a228) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f668,plain,
    ( spl0_119
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f65,f317,f666]) ).

fof(f670,definition,
    ( spl0_120
  <=> c3_1(a229) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f672,plain,
    ( spl0_120
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f64,f392,f670]) ).

fof(f674,definition,
    ( spl0_121
  <=> c2_1(a229) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f675,plain,
    ( c2_1(a229)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f676,plain,
    ( spl0_121
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f63,f392,f674]) ).

fof(f678,definition,
    ( spl0_122
  <=> c3_1(a230) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f680,plain,
    ( spl0_122
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f62,f275,f678]) ).

fof(f682,definition,
    ( spl0_123
  <=> c2_1(a230) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f683,plain,
    ( c2_1(a230)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f684,plain,
    ( spl0_123
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f61,f275,f682]) ).

fof(f686,definition,
    ( spl0_124
  <=> c2_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f687,plain,
    ( c2_1(a237)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f688,plain,
    ( spl0_124
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f60,f388,f686]) ).

fof(f690,definition,
    ( spl0_125
  <=> c0_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f692,plain,
    ( spl0_125
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f59,f388,f690]) ).

fof(f694,definition,
    ( spl0_126
  <=> c2_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f695,plain,
    ( c2_1(a238)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f696,plain,
    ( spl0_126
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f58,f377,f694]) ).

fof(f698,definition,
    ( spl0_127
  <=> c0_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f700,plain,
    ( spl0_127
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f57,f377,f698]) ).

fof(f702,definition,
    ( spl0_128
  <=> c2_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f703,plain,
    ( c2_1(a239)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f704,plain,
    ( spl0_128
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f56,f384,f702]) ).

fof(f706,definition,
    ( spl0_129
  <=> c1_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f708,plain,
    ( spl0_129
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f55,f384,f706]) ).

fof(f710,definition,
    ( spl0_130
  <=> c3_1(a247) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f712,plain,
    ( spl0_130
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f54,f294,f710]) ).

fof(f714,definition,
    ( spl0_131
  <=> c0_1(a247) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f716,plain,
    ( spl0_131
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f53,f294,f714]) ).

fof(f718,definition,
    ( spl0_132
  <=> c1_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f719,plain,
    ( c1_1(a252)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f720,plain,
    ( spl0_132
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f52,f268,f718]) ).

fof(f722,definition,
    ( spl0_133
  <=> c1_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f723,plain,
    ( c1_1(a259)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f724,plain,
    ( spl0_133
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f51,f253,f722]) ).

fof(f726,definition,
    ( spl0_134
  <=> c0_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f728,plain,
    ( spl0_134
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f50,f253,f726]) ).

fof(f730,definition,
    ( spl0_135
  <=> c1_1(a260) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f731,plain,
    ( c1_1(a260)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f732,plain,
    ( spl0_135
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f49,f371,f730]) ).

fof(f734,definition,
    ( spl0_136
  <=> c3_1(a263) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f736,plain,
    ( spl0_136
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f48,f366,f734]) ).

fof(f738,definition,
    ( spl0_137
  <=> c1_1(a263) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f739,plain,
    ( c1_1(a263)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f740,plain,
    ( spl0_137
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f47,f366,f738]) ).

fof(f742,definition,
    ( spl0_138
  <=> c0_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f744,plain,
    ( spl0_138
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f46,f592,f742]) ).

fof(f746,definition,
    ( spl0_139
  <=> c1_1(a288) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f747,plain,
    ( c1_1(a288)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f748,plain,
    ( spl0_139
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f45,f603,f746]) ).

fof(f750,definition,
    ( spl0_140
  <=> c3_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f753,plain,
    ( spl0_140
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f44,f264,f750]) ).

fof(f755,definition,
    ( spl0_141
  <=> c2_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f756,plain,
    ( c2_1(a223)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f757,plain,
    ( spl0_141
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f43,f264,f755]) ).

fof(f759,definition,
    ( spl0_142
  <=> c1_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f761,plain,
    ( spl0_142
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f42,f264,f759]) ).

fof(f763,definition,
    ( spl0_143
  <=> c3_1(a232) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f766,plain,
    ( spl0_143
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f41,f290,f763]) ).

fof(f768,definition,
    ( spl0_144
  <=> c2_1(a232) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f769,plain,
    ( c2_1(a232)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f770,plain,
    ( spl0_144
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f40,f290,f768]) ).

fof(f772,definition,
    ( spl0_145
  <=> c0_1(a232) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f774,plain,
    ( spl0_145
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f39,f290,f772]) ).

fof(f776,definition,
    ( spl0_146
  <=> c2_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f777,plain,
    ( c2_1(a246)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f779,plain,
    ( spl0_146
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f38,f298,f776]) ).

fof(f781,definition,
    ( spl0_147
  <=> c1_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f783,plain,
    ( spl0_147
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f37,f298,f781]) ).

fof(f785,definition,
    ( spl0_148
  <=> c0_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f787,plain,
    ( spl0_148
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f36,f298,f785]) ).

fof(f788,plain,
    ( spl0_32
    | spl0_29
    | spl0_57 ),
    inference(avatar_split_clause,[],[f35,f392,f275,f286]) ).

fof(f790,plain,
    ( spl0_25
    | spl0_54
    | spl0_103 ),
    inference(avatar_split_clause,[],[f34,f603,f381,f260]) ).

fof(f794,plain,
    ( spl0_57
    | spl0_50
    | spl0_100 ),
    inference(avatar_split_clause,[],[f32,f592,f362,f392]) ).

fof(f796,plain,
    ( spl0_96
    | spl0_34
    | spl0_23 ),
    inference(avatar_split_clause,[],[f30,f253,f294,f577]) ).

fof(f816,plain,
    ( spl0_3
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f11,f294,f184]) ).

fof(f818,plain,
    ( spl0_3
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f9,f253,f184]) ).

fof(f821,plain,
    ( spl0_3
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f6,f577,f184]) ).

fof(f832,definition,
    ( spl0_149
  <=> c3_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f838,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(resolution,[],[f225,f198]) ).

fof(f843,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f838]) ).

fof(f845,definition,
    ( spl0_150
  <=> c0_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f856,definition,
    ( spl0_151
  <=> c0_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f879,plain,
    ( c3_1(a225)
    | ~ c0_1(a225)
    | ~ spl0_15
    | spl0_72 ),
    inference(resolution,[],[f225,f468]) ).

fof(f882,plain,
    ( c3_1(a236)
    | ~ c0_1(a236)
    | ~ spl0_15
    | spl0_81 ),
    inference(resolution,[],[f225,f509]) ).

fof(f900,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(resolution,[],[f233,f209]) ).

fof(f905,plain,
    ( c3_1(a278)
    | c0_1(a278)
    | ~ spl0_17
    | spl0_98 ),
    inference(resolution,[],[f233,f585]) ).

fof(f907,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f900]) ).

fof(f915,plain,
    ( spl0_5
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f907,f232,f208,f191]) ).

fof(f922,definition,
    ( spl0_153
  <=> c0_1(a228) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f930,plain,
    ( ~ c1_1(a247)
    | ~ c3_1(a247)
    | ~ spl0_16
    | spl0_89 ),
    inference(resolution,[],[f546,f229]) ).

fof(f936,definition,
    ( spl0_154
  <=> c1_1(a247) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f937,plain,
    ( ~ c1_1(a247)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f938,plain,
    ( ~ spl0_130
    | ~ spl0_154
    | ~ spl0_16
    | spl0_89 ),
    inference(avatar_split_clause,[],[f930,f545,f228,f936,f710]) ).

fof(f941,plain,
    ( c3_1(a215)
    | c0_1(a215)
    | ~ spl0_18
    | ~ spl0_110 ),
    inference(resolution,[],[f236,f631]) ).

fof(f950,plain,
    ( spl0_62
    | spl0_149
    | ~ spl0_18
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f941,f630,f235,f832,f421]) ).

fof(f971,plain,
    ( c1_1(a215)
    | c0_1(a215)
    | ~ spl0_21
    | ~ spl0_110 ),
    inference(resolution,[],[f247,f631]) ).

fof(f973,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(resolution,[],[f247,f233]) ).

fof(f976,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f973]) ).

fof(f977,plain,
    ( spl0_46
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f976,f246,f232,f341]) ).

fof(f981,plain,
    ( c0_1(a214)
    | ~ c1_1(a214)
    | ~ spl0_10
    | ~ spl0_108 ),
    inference(resolution,[],[f623,f209]) ).

fof(f986,definition,
    ( spl0_155
  <=> c3_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1006,definition,
    ( spl0_156
  <=> c1_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1007,plain,
    ( ~ c1_1(a216)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f1011,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(resolution,[],[f215,f233]) ).

fof(f1013,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(resolution,[],[f215,f225]) ).

fof(f1015,plain,
    ( c3_1(a215)
    | c1_1(a215)
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(resolution,[],[f215,f631]) ).

fof(f1017,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f1013]) ).

fof(f1018,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f1011]) ).

fof(f1019,plain,
    ( spl0_61
    | spl0_149
    | ~ spl0_12
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1015,f630,f214,f832,f417]) ).

fof(f1020,plain,
    ( spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1017,f224,f214,f211]) ).

fof(f1021,plain,
    ( spl0_46
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1018,f232,f214,f341]) ).

fof(f1036,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_19
    | ~ spl0_22 ),
    inference(resolution,[],[f250,f239]) ).

fof(f1042,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_19
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f1036]) ).

fof(f1044,plain,
    ( spl0_24
    | ~ spl0_19
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f1042,f249,f238,f256]) ).

fof(f1057,definition,
    ( spl0_157
  <=> c0_1(a230) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1063,definition,
    ( spl0_158
  <=> c3_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1069,plain,
    ( c3_1(a282)
    | ~ c0_1(a282)
    | ~ spl0_11
    | spl0_102 ),
    inference(resolution,[],[f600,f212]) ).

fof(f1072,plain,
    ( ~ spl0_138
    | spl0_101
    | ~ spl0_11
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1069,f599,f211,f595,f742]) ).

fof(f1073,plain,
    ( ~ c3_1(a230)
    | ~ c0_1(a230)
    | ~ spl0_19
    | ~ spl0_123 ),
    inference(resolution,[],[f683,f239]) ).

fof(f1075,plain,
    ( ~ spl0_157
    | ~ spl0_122
    | ~ spl0_19
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1073,f682,f238,f678,f1057]) ).

fof(f1093,plain,
    ( c0_1(a229)
    | ~ c3_1(a229)
    | ~ spl0_1
    | ~ spl0_121 ),
    inference(resolution,[],[f179,f675]) ).

fof(f1094,plain,
    ( c0_1(a214)
    | ~ c3_1(a214)
    | ~ spl0_1
    | ~ spl0_108 ),
    inference(resolution,[],[f179,f623]) ).

fof(f1097,plain,
    ( ~ spl0_155
    | spl0_60
    | ~ spl0_1
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1094,f622,f178,f412,f986]) ).

fof(f1098,plain,
    ( ~ spl0_120
    | spl0_75
    | ~ spl0_1
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1093,f674,f178,f481,f670]) ).

fof(f1106,plain,
    ( ~ c0_1(a228)
    | c1_1(a228)
    | ~ spl0_2
    | spl0_73 ),
    inference(resolution,[],[f182,f473]) ).

fof(f1110,plain,
    ( c1_1(a247)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f1133,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(resolution,[],[f222,f182]) ).

fof(f1140,plain,
    ( c1_1(a230)
    | ~ c3_1(a230)
    | ~ spl0_14
    | ~ spl0_123 ),
    inference(resolution,[],[f222,f683]) ).

fof(f1144,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f1133]) ).

fof(f1147,plain,
    ( ~ spl0_122
    | spl0_76
    | ~ spl0_14
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1140,f682,f221,f486,f678]) ).

fof(f1150,plain,
    ( spl0_28
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1144,f221,f181,f271]) ).

fof(f1171,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f843,f224,f197,f194]) ).

fof(f1188,definition,
    ( spl0_160
  <=> c1_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1195,plain,
    ( ~ c1_1(a221)
    | ~ c3_1(a221)
    | ~ spl0_16
    | spl0_69 ),
    inference(resolution,[],[f454,f229]) ).

fof(f1197,definition,
    ( spl0_161
  <=> c3_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1200,plain,
    ( ~ spl0_161
    | ~ spl0_114
    | ~ spl0_16
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1195,f453,f228,f646,f1197]) ).

fof(f1210,plain,
    ( c3_1(a288)
    | c0_1(a288)
    | ~ spl0_5
    | ~ spl0_139 ),
    inference(resolution,[],[f192,f747]) ).

fof(f1244,plain,
    ( ~ spl0_109
    | spl0_60
    | ~ spl0_10
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f981,f622,f208,f412,f626]) ).

fof(f1254,plain,
    ( c3_1(a236)
    | c0_1(a236)
    | ~ spl0_17
    | spl0_81 ),
    inference(resolution,[],[f509,f233]) ).

fof(f1261,plain,
    ( ~ c3_1(a223)
    | ~ c1_1(a223)
    | ~ spl0_4
    | ~ spl0_141 ),
    inference(resolution,[],[f188,f756]) ).

fof(f1271,plain,
    ( ~ spl0_142
    | ~ spl0_140
    | ~ spl0_4
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1261,f755,f187,f750,f759]) ).

fof(f1274,plain,
    ( c3_1(a259)
    | ~ c0_1(a259)
    | ~ spl0_6
    | ~ spl0_133 ),
    inference(resolution,[],[f195,f723]) ).

fof(f1281,plain,
    ( ~ spl0_134
    | spl0_92
    | ~ spl0_6
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1274,f722,f194,f559,f726]) ).

fof(f1287,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(resolution,[],[f202,f222]) ).

fof(f1292,plain,
    ( c0_1(a236)
    | c1_1(a236)
    | ~ spl0_8
    | spl0_81 ),
    inference(resolution,[],[f202,f509]) ).

fof(f1293,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f1287]) ).

fof(f1297,plain,
    ( spl0_20
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1293,f221,f201,f242]) ).

fof(f1314,definition,
    ( spl0_164
  <=> c1_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1333,plain,
    ( ~ c3_1(a228)
    | c0_1(a228)
    | ~ spl0_20
    | spl0_74 ),
    inference(resolution,[],[f243,f477]) ).

fof(f1335,plain,
    ( ~ c3_1(a218)
    | c0_1(a218)
    | ~ spl0_20
    | spl0_65 ),
    inference(resolution,[],[f243,f436]) ).

fof(f1336,plain,
    ( ~ c3_1(a215)
    | c0_1(a215)
    | ~ spl0_20
    | spl0_61 ),
    inference(resolution,[],[f243,f418]) ).

fof(f1349,plain,
    ( spl0_105
    | spl0_104
    | ~ spl0_5
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1210,f746,f191,f606,f610]) ).

fof(f1391,plain,
    ( ~ c0_1(a247)
    | ~ c1_1(a247)
    | ~ spl0_22
    | spl0_89 ),
    inference(resolution,[],[f250,f546]) ).

fof(f1393,plain,
    ( ~ c0_1(a225)
    | ~ c1_1(a225)
    | ~ spl0_22
    | spl0_72 ),
    inference(resolution,[],[f250,f468]) ).

fof(f1394,plain,
    ( ~ c0_1(a221)
    | ~ c1_1(a221)
    | ~ spl0_22
    | spl0_69 ),
    inference(resolution,[],[f250,f454]) ).

fof(f1412,plain,
    ( ~ c0_1(a247)
    | ~ c3_1(a247)
    | ~ spl0_28
    | spl0_154 ),
    inference(resolution,[],[f272,f937]) ).

fof(f1416,plain,
    ( ~ c0_1(a224)
    | ~ c3_1(a224)
    | ~ spl0_28
    | spl0_70 ),
    inference(resolution,[],[f272,f459]) ).

fof(f1430,plain,
    ( ~ spl0_130
    | ~ spl0_131
    | ~ spl0_28
    | spl0_154 ),
    inference(avatar_split_clause,[],[f1412,f936,f271,f714,f710]) ).

fof(f1443,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(resolution,[],[f283,f222]) ).

fof(f1444,plain,
    ( ~ c0_1(a247)
    | ~ c3_1(a247)
    | ~ spl0_31
    | spl0_89 ),
    inference(resolution,[],[f283,f546]) ).

fof(f1450,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f1443]) ).

fof(f1455,plain,
    ( ~ spl0_130
    | ~ spl0_131
    | ~ spl0_31
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1444,f545,f282,f714,f710]) ).

fof(f1456,plain,
    ( spl0_28
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f1450,f282,f221,f271]) ).

fof(f1457,plain,
    ( ~ c3_1(a216)
    | c0_1(a216)
    | ~ spl0_20
    | spl0_156 ),
    inference(resolution,[],[f1007,f243]) ).

fof(f1458,plain,
    ( spl0_64
    | ~ spl0_111
    | ~ spl0_20
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1457,f1006,f242,f634,f430]) ).

fof(f1475,plain,
    ( c3_1(a225)
    | c1_1(a225)
    | ~ spl0_38
    | spl0_72 ),
    inference(resolution,[],[f310,f468]) ).

fof(f1478,plain,
    ( c3_1(a236)
    | c1_1(a236)
    | ~ spl0_38
    | spl0_81 ),
    inference(resolution,[],[f310,f509]) ).

fof(f1491,plain,
    ( c1_1(a238)
    | ~ c0_1(a238)
    | ~ spl0_44
    | ~ spl0_126 ),
    inference(resolution,[],[f335,f695]) ).

fof(f1511,plain,
    ( c3_1(a236)
    | c0_1(a236)
    | ~ spl0_46
    | spl0_82 ),
    inference(resolution,[],[f342,f513]) ).

fof(f1512,plain,
    ( c3_1(a235)
    | c0_1(a235)
    | ~ spl0_46
    | spl0_78 ),
    inference(resolution,[],[f342,f496]) ).

fof(f1518,plain,
    ( spl0_79
    | spl0_77
    | ~ spl0_46
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1512,f495,f341,f491,f499]) ).

fof(f1534,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_48 ),
    inference(resolution,[],[f351,f179]) ).

fof(f1535,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_48 ),
    inference(resolution,[],[f351,f188]) ).

fof(f1539,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_18
    | ~ spl0_48 ),
    inference(resolution,[],[f351,f236]) ).

fof(f1547,plain,
    ( ~ c1_1(a216)
    | c0_1(a216)
    | ~ spl0_48
    | spl0_63 ),
    inference(resolution,[],[f351,f427]) ).

fof(f1550,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_18
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f1539]) ).

fof(f1552,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f1535]) ).

fof(f1553,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f1534]) ).

fof(f1555,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22
    | ~ spl0_58 ),
    inference(resolution,[],[f397,f250]) ).

fof(f1558,plain,
    ( c3_1(a238)
    | ~ c0_1(a238)
    | ~ spl0_58
    | ~ spl0_126 ),
    inference(resolution,[],[f397,f695]) ).

fof(f1561,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f1555]) ).

fof(f1568,plain,
    ( c1_1(a232)
    | ~ c3_1(a232)
    | ~ spl0_14
    | ~ spl0_144 ),
    inference(resolution,[],[f769,f222]) ).

fof(f1570,plain,
    ( ~ c3_1(a232)
    | ~ c0_1(a232)
    | ~ spl0_19
    | ~ spl0_144 ),
    inference(resolution,[],[f769,f239]) ).

fof(f1572,plain,
    ( c1_1(a232)
    | ~ c0_1(a232)
    | ~ spl0_44
    | ~ spl0_144 ),
    inference(resolution,[],[f769,f335]) ).

fof(f1575,definition,
    ( spl0_165
  <=> c1_1(a232) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1580,plain,
    ( ~ spl0_145
    | ~ spl0_143
    | ~ spl0_19
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1570,f768,f238,f763,f772]) ).

fof(f1581,plain,
    ( ~ spl0_143
    | spl0_165
    | ~ spl0_14
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1568,f768,f221,f1575,f763]) ).

fof(f1582,plain,
    ( ~ c1_1(a232)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1575]) ).

fof(f1588,plain,
    ( spl0_160
    | spl0_71
    | ~ spl0_38
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1475,f467,f309,f463,f1188]) ).

fof(f1601,plain,
    ( ~ c1_1(a252)
    | c0_1(a252)
    | ~ spl0_48
    | spl0_91 ),
    inference(resolution,[],[f555,f351]) ).

fof(f1602,plain,
    ( ~ c0_1(a252)
    | ~ c1_1(a252)
    | ~ spl0_22
    | spl0_91 ),
    inference(resolution,[],[f555,f250]) ).

fof(f1603,plain,
    ( c3_1(a252)
    | c0_1(a252)
    | ~ spl0_17
    | spl0_91 ),
    inference(resolution,[],[f555,f233]) ).

fof(f1606,definition,
    ( spl0_166
  <=> c0_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1613,plain,
    ( spl0_166
    | ~ spl0_132
    | ~ spl0_48
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1601,f554,f350,f718,f1606]) ).

fof(f1619,plain,
    ( ~ spl0_118
    | spl0_71
    | ~ spl0_15
    | spl0_72 ),
    inference(avatar_split_clause,[],[f879,f467,f224,f463,f662]) ).

fof(f1625,plain,
    ( ~ spl0_127
    | spl0_164
    | ~ spl0_44
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1491,f694,f334,f1314,f698]) ).

fof(f1631,plain,
    ( ~ c1_1(a260)
    | c0_1(a260)
    | ~ spl0_48
    | spl0_93 ),
    inference(resolution,[],[f565,f351]) ).

fof(f1635,definition,
    ( spl0_167
  <=> c3_1(a260) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1656,plain,
    ( c3_1(a243)
    | c0_1(a243)
    | ~ spl0_17
    | spl0_86 ),
    inference(resolution,[],[f533,f233]) ).

fof(f1659,definition,
    ( spl0_168
  <=> c3_1(a243) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1662,plain,
    ( c3_1(a243)
    | c0_1(a243)
    | ~ spl0_46
    | spl0_87 ),
    inference(resolution,[],[f537,f342]) ).

fof(f1664,plain,
    ( ~ c3_1(a213)
    | ~ c0_1(a213)
    | ~ spl0_24
    | ~ spl0_107 ),
    inference(resolution,[],[f619,f257]) ).

fof(f1672,plain,
    ( spl0_74
    | ~ spl0_153
    | ~ spl0_2
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1106,f472,f181,f922,f476]) ).

fof(f1678,plain,
    ( c3_1(a221)
    | ~ c0_1(a221)
    | ~ spl0_6
    | ~ spl0_114 ),
    inference(resolution,[],[f647,f195]) ).

fof(f1679,plain,
    ( ~ spl0_115
    | spl0_161
    | ~ spl0_6
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1678,f646,f194,f1197,f650]) ).

fof(f1696,plain,
    ( spl0_62
    | spl0_61
    | ~ spl0_21
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f971,f630,f246,f417,f421]) ).

fof(f1701,plain,
    ( c3_1(a252)
    | ~ c0_1(a252)
    | ~ spl0_6
    | ~ spl0_132 ),
    inference(resolution,[],[f719,f195]) ).

fof(f1702,plain,
    ( ~ spl0_166
    | spl0_90
    | ~ spl0_6
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1701,f718,f194,f550,f1606]) ).

fof(f1722,plain,
    ( c0_1(a230)
    | ~ c3_1(a230)
    | ~ spl0_1
    | ~ spl0_123 ),
    inference(resolution,[],[f179,f683]) ).

fof(f1725,plain,
    ( ~ spl0_122
    | spl0_157
    | ~ spl0_1
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1722,f682,f178,f1057,f678]) ).

fof(f1727,plain,
    ( ~ c0_1(a246)
    | ~ c1_1(a246)
    | ~ spl0_7
    | ~ spl0_146 ),
    inference(resolution,[],[f198,f777]) ).

fof(f1735,plain,
    ( ~ spl0_147
    | ~ spl0_148
    | ~ spl0_7
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1727,f776,f197,f785,f781]) ).

fof(f1774,plain,
    ( ~ spl0_132
    | ~ spl0_166
    | ~ spl0_22
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1602,f554,f249,f1606,f718]) ).

fof(f1775,plain,
    ( ~ spl0_154
    | ~ spl0_131
    | ~ spl0_22
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1391,f545,f249,f714,f936]) ).

fof(f1777,plain,
    ( ~ spl0_114
    | ~ spl0_115
    | ~ spl0_22
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1394,f453,f249,f650,f646]) ).

fof(f1780,plain,
    ( ~ c0_1(a232)
    | ~ c1_1(a232)
    | ~ spl0_7
    | ~ spl0_144 ),
    inference(resolution,[],[f198,f769]) ).

fof(f1781,plain,
    ( ~ c0_1(a238)
    | ~ c1_1(a238)
    | ~ spl0_7
    | ~ spl0_126 ),
    inference(resolution,[],[f198,f695]) ).

fof(f1784,plain,
    ( ~ spl0_164
    | ~ spl0_127
    | ~ spl0_7
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1781,f694,f197,f698,f1314]) ).

fof(f1785,plain,
    ( ~ spl0_165
    | ~ spl0_145
    | ~ spl0_7
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1780,f768,f197,f772,f1575]) ).

fof(f1800,plain,
    ( spl0_9
    | ~ spl0_4
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1552,f350,f187,f204]) ).

fof(f1805,plain,
    ( ~ spl0_151
    | ~ spl0_106
    | ~ spl0_24
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1664,f618,f256,f614,f856]) ).

fof(f1806,plain,
    ( spl0_64
    | ~ spl0_156
    | ~ spl0_48
    | spl0_63 ),
    inference(avatar_split_clause,[],[f1547,f426,f350,f1006,f430]) ).

fof(f1807,plain,
    ( spl0_5
    | ~ spl0_18
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1550,f350,f235,f191]) ).

fof(f1808,plain,
    ( spl0_9
    | ~ spl0_1
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1553,f350,f178,f204]) ).

fof(f1809,plain,
    ( spl0_94
    | ~ spl0_135
    | ~ spl0_48
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1631,f564,f350,f730,f568]) ).

fof(f1819,plain,
    ( spl0_82
    | spl0_150
    | ~ spl0_8
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1292,f508,f201,f845,f512]) ).

fof(f1822,plain,
    ( ~ spl0_116
    | ~ spl0_117
    | ~ spl0_28
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1416,f458,f271,f658,f654]) ).

fof(f1825,plain,
    ( spl0_88
    | spl0_168
    | ~ spl0_46
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1662,f536,f341,f1659,f540]) ).

fof(f1827,plain,
    ( spl0_150
    | spl0_80
    | ~ spl0_46
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1511,f512,f341,f504,f845]) ).

fof(f1833,plain,
    ( ~ spl0_145
    | spl0_165
    | ~ spl0_44
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1572,f768,f334,f1575,f772]) ).

fof(f1835,plain,
    ( ~ c0_1(a247)
    | c1_1(a247)
    | ~ spl0_2
    | spl0_89 ),
    inference(resolution,[],[f182,f546]) ).

fof(f1842,plain,
    ( ~ c0_1(a236)
    | c1_1(a236)
    | ~ spl0_2
    | spl0_81 ),
    inference(resolution,[],[f182,f509]) ).

fof(f1843,plain,
    ( spl0_82
    | ~ spl0_150
    | ~ spl0_2
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1842,f508,f181,f845,f512]) ).

fof(f1845,plain,
    ( spl0_154
    | ~ spl0_131
    | ~ spl0_2
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1835,f545,f181,f714,f936]) ).

fof(f1849,plain,
    ( spl0_99
    | spl0_97
    | ~ spl0_17
    | spl0_98 ),
    inference(avatar_split_clause,[],[f905,f584,f232,f580,f588]) ).

fof(f1851,plain,
    ( spl0_88
    | spl0_168
    | ~ spl0_17
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1656,f532,f232,f1659,f540]) ).

fof(f1852,plain,
    ( spl0_166
    | spl0_90
    | ~ spl0_17
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1603,f554,f232,f550,f1606]) ).

fof(f1858,plain,
    ( ~ c3_1(a232)
    | ~ c1_1(a232)
    | ~ spl0_4
    | ~ spl0_144 ),
    inference(resolution,[],[f188,f769]) ).

fof(f1865,plain,
    ( ~ spl0_165
    | ~ spl0_143
    | ~ spl0_4
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1858,f768,f187,f763,f1575]) ).

fof(f1869,plain,
    ( c3_1(a260)
    | c0_1(a260)
    | ~ spl0_5
    | ~ spl0_135 ),
    inference(resolution,[],[f192,f731]) ).

fof(f1870,plain,
    ( c3_1(a252)
    | c0_1(a252)
    | ~ spl0_5
    | ~ spl0_132 ),
    inference(resolution,[],[f192,f719]) ).

fof(f1873,plain,
    ( c3_1(a214)
    | c0_1(a214)
    | ~ spl0_5
    | ~ spl0_109 ),
    inference(resolution,[],[f192,f627]) ).

fof(f1875,plain,
    ( spl0_60
    | spl0_155
    | ~ spl0_5
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1873,f626,f191,f986,f412]) ).

fof(f1877,plain,
    ( spl0_166
    | spl0_90
    | ~ spl0_5
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1870,f718,f191,f550,f1606]) ).

fof(f1878,plain,
    ( spl0_94
    | spl0_167
    | ~ spl0_5
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1869,f730,f191,f1635,f568]) ).

fof(f1910,plain,
    ( spl0_153
    | ~ spl0_119
    | ~ spl0_20
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1333,f476,f242,f666,f922]) ).

fof(f1912,plain,
    ( spl0_66
    | ~ spl0_112
    | ~ spl0_20
    | spl0_65 ),
    inference(avatar_split_clause,[],[f1335,f435,f242,f638,f439]) ).

fof(f1913,plain,
    ( spl0_62
    | ~ spl0_149
    | ~ spl0_20
    | spl0_61 ),
    inference(avatar_split_clause,[],[f1336,f417,f242,f832,f421]) ).

fof(f1924,plain,
    ( c0_1(a263)
    | ~ c3_1(a263)
    | ~ spl0_9
    | ~ spl0_137 ),
    inference(resolution,[],[f205,f739]) ).

fof(f1929,plain,
    ( c0_1(a214)
    | ~ c3_1(a214)
    | ~ spl0_9
    | ~ spl0_109 ),
    inference(resolution,[],[f205,f627]) ).

fof(f1930,plain,
    ( c0_1(a213)
    | ~ c3_1(a213)
    | ~ spl0_9
    | ~ spl0_107 ),
    inference(resolution,[],[f205,f619]) ).

fof(f1931,plain,
    ( ~ spl0_106
    | spl0_151
    | ~ spl0_9
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1930,f618,f204,f856,f614]) ).

fof(f1932,plain,
    ( ~ spl0_155
    | spl0_60
    | ~ spl0_9
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1929,f626,f204,f412,f986]) ).

fof(f1933,plain,
    ( ~ spl0_136
    | spl0_95
    | ~ spl0_9
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1924,f738,f204,f573,f734]) ).

fof(f1937,plain,
    ( c3_1(a238)
    | c1_1(a238)
    | ~ spl0_12
    | ~ spl0_126 ),
    inference(resolution,[],[f215,f695]) ).

fof(f1938,plain,
    ( c3_1(a237)
    | c1_1(a237)
    | ~ spl0_12
    | ~ spl0_124 ),
    inference(resolution,[],[f215,f687]) ).

fof(f1943,plain,
    ( spl0_83
    | spl0_158
    | ~ spl0_12
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1938,f686,f214,f1063,f517]) ).

fof(f1944,plain,
    ( spl0_164
    | spl0_84
    | ~ spl0_12
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1937,f694,f214,f522,f1314]) ).

fof(f1947,plain,
    ( ~ c3_1(a260)
    | c0_1(a260)
    | ~ spl0_13
    | spl0_93 ),
    inference(resolution,[],[f219,f565]) ).

fof(f1953,plain,
    ( ~ c3_1(a216)
    | c0_1(a216)
    | ~ spl0_13
    | spl0_63 ),
    inference(resolution,[],[f219,f427]) ).

fof(f1956,plain,
    ( ~ c3_1(a243)
    | c0_1(a243)
    | ~ spl0_13
    | spl0_86 ),
    inference(resolution,[],[f219,f533]) ).

fof(f1960,plain,
    ( spl0_88
    | ~ spl0_168
    | ~ spl0_13
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1956,f532,f218,f1659,f540]) ).

fof(f1961,plain,
    ( spl0_64
    | ~ spl0_111
    | ~ spl0_13
    | spl0_63 ),
    inference(avatar_split_clause,[],[f1953,f426,f218,f634,f430]) ).

fof(f1963,plain,
    ( spl0_94
    | ~ spl0_167
    | ~ spl0_13
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1947,f564,f218,f1635,f568]) ).

fof(f1969,plain,
    ( ~ spl0_150
    | spl0_80
    | ~ spl0_15
    | spl0_81 ),
    inference(avatar_split_clause,[],[f882,f508,f224,f504,f845]) ).

fof(f1982,plain,
    ( spl0_150
    | spl0_80
    | ~ spl0_17
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1254,f508,f232,f504,f845]) ).

fof(f1985,plain,
    ( ~ spl0_160
    | ~ spl0_118
    | ~ spl0_22
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1393,f467,f249,f662,f1188]) ).

fof(f1998,plain,
    ( spl0_82
    | spl0_80
    | ~ spl0_38
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1478,f508,f309,f504,f512]) ).

fof(f2029,plain,
    ( ~ c1_1(a213)
    | ~ c3_1(a213)
    | ~ spl0_16
    | spl0_59 ),
    inference(resolution,[],[f229,f408]) ).

fof(f2036,plain,
    ( ~ spl0_106
    | ~ spl0_107
    | ~ spl0_16
    | spl0_59 ),
    inference(avatar_split_clause,[],[f2029,f407,f228,f618,f614]) ).

fof(f2043,plain,
    ( c3_1(a260)
    | c0_1(a260)
    | ~ spl0_17
    | spl0_93 ),
    inference(resolution,[],[f233,f565]) ).

fof(f2052,plain,
    ( spl0_94
    | spl0_167
    | ~ spl0_17
    | spl0_93 ),
    inference(avatar_split_clause,[],[f2043,f564,f232,f1635,f568]) ).

fof(f2072,plain,
    ( ~ c3_1(a221)
    | ~ c0_1(a221)
    | ~ spl0_24
    | ~ spl0_114 ),
    inference(resolution,[],[f257,f647]) ).

fof(f2075,plain,
    ( ~ spl0_115
    | ~ spl0_161
    | ~ spl0_24
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2072,f646,f256,f1197,f650]) ).

fof(f2085,plain,
    ( ~ c0_1(a237)
    | ~ c3_1(a237)
    | ~ spl0_28
    | spl0_83 ),
    inference(resolution,[],[f272,f518]) ).

fof(f2086,plain,
    ( ~ c0_1(a230)
    | ~ c3_1(a230)
    | ~ spl0_28
    | spl0_76 ),
    inference(resolution,[],[f272,f487]) ).

fof(f2097,plain,
    ( ~ spl0_122
    | ~ spl0_157
    | ~ spl0_28
    | spl0_76 ),
    inference(avatar_split_clause,[],[f2086,f486,f271,f1057,f678]) ).

fof(f2098,plain,
    ( ~ spl0_158
    | ~ spl0_125
    | ~ spl0_28
    | spl0_83 ),
    inference(avatar_split_clause,[],[f2085,f517,f271,f690,f1063]) ).

fof(f2139,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_22
    | ~ spl0_47 ),
    inference(resolution,[],[f346,f250]) ).

fof(f2142,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_15
    | ~ spl0_47 ),
    inference(resolution,[],[f346,f225]) ).

fof(f2145,plain,
    ( c3_1(a239)
    | ~ c1_1(a239)
    | ~ spl0_47
    | ~ spl0_128 ),
    inference(resolution,[],[f346,f703]) ).

fof(f2150,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_15
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f2142]) ).

fof(f2153,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f2139]) ).

fof(f2157,plain,
    ( ~ spl0_129
    | spl0_85
    | ~ spl0_47
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2145,f702,f345,f527,f706]) ).

fof(f2159,plain,
    ( spl0_6
    | ~ spl0_15
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2150,f345,f224,f194]) ).

fof(f2160,plain,
    ( spl0_6
    | ~ spl0_22
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2153,f345,f249,f194]) ).

fof(f2162,plain,
    ( ~ c3_1(a247)
    | ~ c0_1(a247)
    | ~ spl0_24
    | ~ spl0_154 ),
    inference(resolution,[],[f1110,f257]) ).

fof(f2165,plain,
    ( ~ spl0_131
    | ~ spl0_130
    | ~ spl0_24
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2162,f936,f256,f710,f714]) ).

fof(f2176,plain,
    ( ~ c0_1(a232)
    | ~ c3_1(a232)
    | ~ spl0_28
    | spl0_165 ),
    inference(resolution,[],[f1582,f272]) ).

fof(f2177,plain,
    ( ~ spl0_143
    | ~ spl0_145
    | ~ spl0_28
    | spl0_165 ),
    inference(avatar_split_clause,[],[f2176,f1575,f271,f772,f763]) ).

fof(f2178,plain,
    ( ~ spl0_127
    | spl0_84
    | ~ spl0_58
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1558,f694,f396,f522,f698]) ).

fof(f2179,plain,
    ( spl0_6
    | ~ spl0_22
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1561,f396,f249,f194]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f189]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f199]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f206]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f216]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f226]) ).

cnf(s6,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_13
    | spl0_16 ),
    inference(sat_conversion,[],[f230]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f240]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_16
    | spl0_20 ),
    inference(sat_conversion,[],[f244]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f251]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f273]) ).

cnf(s14,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_19
    | spl0_29 ),
    inference(sat_conversion,[],[f277]) ).

cnf(s15,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f284]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_14
    | spl0_32 ),
    inference(sat_conversion,[],[f288]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_15
    | spl0_33 ),
    inference(sat_conversion,[],[f292]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_16
    | spl0_34 ),
    inference(sat_conversion,[],[f296]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_22
    | spl0_35 ),
    inference(sat_conversion,[],[f300]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f311]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f315]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_18
    | spl0_40 ),
    inference(sat_conversion,[],[f319]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_10
    | spl0_41 ),
    inference(sat_conversion,[],[f324]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_24
    | spl0_42 ),
    inference(sat_conversion,[],[f328]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_24 ),
    inference(sat_conversion,[],[f329]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f343]) ).

cnf(s30,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_26
    | spl0_47 ),
    inference(sat_conversion,[],[f347]) ).

cnf(s31,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_17
    | spl0_30 ),
    inference(sat_conversion,[],[f348]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_25
    | spl0_48 ),
    inference(sat_conversion,[],[f352]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_31
    | spl0_39
    | spl0_46 ),
    inference(sat_conversion,[],[f353]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_17
    | spl0_39 ),
    inference(sat_conversion,[],[f354]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_32
    | spl0_41 ),
    inference(sat_conversion,[],[f356]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_39
    | spl0_49 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_25
    | spl0_50 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_49
    | spl0_51 ),
    inference(sat_conversion,[],[f368]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_23
    | spl0_32 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_23
    | spl0_52 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s43,plain,
    ( ~ spl0_3
    | spl0_34
    | spl0_35
    | spl0_44 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s44,plain,
    ( ~ spl0_3
    | spl0_35
    | spl0_44
    | spl0_53 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f386]) ).

cnf(s46,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_53
    | spl0_56 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_33
    | spl0_58 ),
    inference(sat_conversion,[],[f398]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_39
    | spl0_53 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_48
    | spl0_57 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | spl0_40
    | spl0_45
    | spl0_48 ),
    inference(sat_conversion,[],[f401]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_39
    | spl0_50 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s54,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_46
    | spl0_54 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s55,plain,
    ( ~ spl0_39
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f409]) ).

cnf(s56,plain,
    ( ~ spl0_45
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s57,plain,
    ( ~ spl0_54
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s58,plain,
    ( ~ spl0_54
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s59,plain,
    ( ~ spl0_25
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s60,plain,
    ( ~ spl0_25
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s61,plain,
    ( ~ spl0_41
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s62,plain,
    ( ~ spl0_41
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s65,plain,
    ( ~ spl0_30
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f455]) ).

cnf(s66,plain,
    ( ~ spl0_42
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s67,plain,
    ( ~ spl0_50
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s68,plain,
    ( ~ spl0_50
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s69,plain,
    ( ~ spl0_40
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f474]) ).

cnf(s70,plain,
    ( ~ spl0_40
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s71,plain,
    ( ~ spl0_57
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s72,plain,
    ( ~ spl0_29
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s73,plain,
    ( ~ spl0_49
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s74,plain,
    ( ~ spl0_49
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s75,plain,
    ( ~ spl0_49
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s76,plain,
    ( ~ spl0_32
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s77,plain,
    ( ~ spl0_32
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s78,plain,
    ( ~ spl0_32
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s79,plain,
    ( ~ spl0_56
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s80,plain,
    ( ~ spl0_53
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s81,plain,
    ( ~ spl0_55
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s82,plain,
    ( ~ spl0_37
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s83,plain,
    ( ~ spl0_37
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s84,plain,
    ( ~ spl0_37
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f542]) ).

cnf(s85,plain,
    ( ~ spl0_34
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s86,plain,
    ( ~ spl0_27
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f552]) ).

cnf(s87,plain,
    ( ~ spl0_27
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s88,plain,
    ( ~ spl0_23
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s89,plain,
    ( ~ spl0_52
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f566]) ).

cnf(s90,plain,
    ( ~ spl0_52
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s91,plain,
    ( ~ spl0_51
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s92,plain,
    ( ~ spl0_96
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f582]) ).

cnf(s93,plain,
    ( ~ spl0_96
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s94,plain,
    ( ~ spl0_96
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s95,plain,
    ( ~ spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s96,plain,
    ( ~ spl0_100
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s97,plain,
    ( ~ spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s98,plain,
    ( ~ spl0_103
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s99,plain,
    ( ~ spl0_39
    | spl0_106 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s100,plain,
    ( ~ spl0_39
    | spl0_107 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s101,plain,
    ( ~ spl0_45
    | spl0_108 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s102,plain,
    ( ~ spl0_45
    | spl0_109 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s103,plain,
    ( ~ spl0_54
    | spl0_110 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s104,plain,
    ( ~ spl0_25
    | spl0_111 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s105,plain,
    ( ~ spl0_41
    | spl0_112 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s107,plain,
    ( ~ spl0_30
    | spl0_114 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s108,plain,
    ( ~ spl0_30
    | spl0_115 ),
    inference(sat_conversion,[],[f652]) ).

cnf(s109,plain,
    ( ~ spl0_42
    | spl0_116 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s110,plain,
    ( ~ spl0_42
    | spl0_117 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s111,plain,
    ( ~ spl0_50
    | spl0_118 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s112,plain,
    ( ~ spl0_40
    | spl0_119 ),
    inference(sat_conversion,[],[f668]) ).

cnf(s113,plain,
    ( ~ spl0_57
    | spl0_120 ),
    inference(sat_conversion,[],[f672]) ).

cnf(s114,plain,
    ( ~ spl0_57
    | spl0_121 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s115,plain,
    ( ~ spl0_29
    | spl0_122 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s116,plain,
    ( ~ spl0_29
    | spl0_123 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s117,plain,
    ( ~ spl0_56
    | spl0_124 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s118,plain,
    ( ~ spl0_56
    | spl0_125 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s119,plain,
    ( ~ spl0_53
    | spl0_126 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s120,plain,
    ( ~ spl0_53
    | spl0_127 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s121,plain,
    ( ~ spl0_55
    | spl0_128 ),
    inference(sat_conversion,[],[f704]) ).

cnf(s122,plain,
    ( ~ spl0_55
    | spl0_129 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s123,plain,
    ( ~ spl0_34
    | spl0_130 ),
    inference(sat_conversion,[],[f712]) ).

cnf(s124,plain,
    ( ~ spl0_34
    | spl0_131 ),
    inference(sat_conversion,[],[f716]) ).

cnf(s125,plain,
    ( ~ spl0_27
    | spl0_132 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s126,plain,
    ( ~ spl0_23
    | spl0_133 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s127,plain,
    ( ~ spl0_23
    | spl0_134 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s128,plain,
    ( ~ spl0_52
    | spl0_135 ),
    inference(sat_conversion,[],[f732]) ).

cnf(s129,plain,
    ( ~ spl0_51
    | spl0_136 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s130,plain,
    ( ~ spl0_51
    | spl0_137 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s131,plain,
    ( ~ spl0_100
    | spl0_138 ),
    inference(sat_conversion,[],[f744]) ).

cnf(s132,plain,
    ( ~ spl0_103
    | spl0_139 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s133,plain,
    ( ~ spl0_26
    | spl0_140 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s134,plain,
    ( ~ spl0_26
    | spl0_141 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s135,plain,
    ( ~ spl0_26
    | spl0_142 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s136,plain,
    ( ~ spl0_33
    | spl0_143 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s137,plain,
    ( ~ spl0_33
    | spl0_144 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s138,plain,
    ( ~ spl0_33
    | spl0_145 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s139,plain,
    ( ~ spl0_35
    | spl0_146 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s140,plain,
    ( ~ spl0_35
    | spl0_147 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s141,plain,
    ( ~ spl0_35
    | spl0_148 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s142,plain,
    ( spl0_29
    | spl0_32
    | spl0_57 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s143,plain,
    ( spl0_25
    | spl0_54
    | spl0_103 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s145,plain,
    ( spl0_50
    | spl0_57
    | spl0_100 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s147,plain,
    ( spl0_23
    | spl0_34
    | spl0_96 ),
    inference(sat_conversion,[],[f796]) ).

cnf(s166,plain,
    ( spl0_3
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s168,plain,
    ( spl0_3
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f818]) ).

cnf(s171,plain,
    ( spl0_3
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s196,plain,
    ( spl0_5
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s203,plain,
    ( ~ spl0_16
    | spl0_89
    | ~ spl0_130
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s205,plain,
    ( ~ spl0_18
    | spl0_62
    | ~ spl0_110
    | spl0_149 ),
    inference(sat_conversion,[],[f950]) ).

cnf(s209,plain,
    ( ~ spl0_17
    | ~ spl0_21
    | spl0_46 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s222,plain,
    ( ~ spl0_12
    | spl0_61
    | ~ spl0_110
    | spl0_149 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s223,plain,
    ( spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f1020]) ).

cnf(s224,plain,
    ( ~ spl0_12
    | ~ spl0_17
    | spl0_46 ),
    inference(sat_conversion,[],[f1021]) ).

cnf(s227,plain,
    ( ~ spl0_19
    | ~ spl0_22
    | spl0_24 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s237,plain,
    ( ~ spl0_11
    | spl0_101
    | spl0_102
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1072]) ).

cnf(s238,plain,
    ( ~ spl0_19
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1075]) ).

cnf(s241,plain,
    ( ~ spl0_1
    | spl0_60
    | ~ spl0_108
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1097]) ).

cnf(s242,plain,
    ( ~ spl0_1
    | spl0_75
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1098]) ).

cnf(s258,plain,
    ( ~ spl0_14
    | spl0_76
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1147]) ).

cnf(s260,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | spl0_28 ),
    inference(sat_conversion,[],[f1150]) ).

cnf(s266,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f1171]) ).

cnf(s283,plain,
    ( ~ spl0_16
    | spl0_69
    | ~ spl0_114
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1200]) ).

cnf(s313,plain,
    ( ~ spl0_10
    | spl0_60
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f1244]) ).

cnf(s325,plain,
    ( ~ spl0_4
    | ~ spl0_140
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f1271]) ).

cnf(s328,plain,
    ( ~ spl0_6
    | spl0_92
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1281]) ).

cnf(s332,plain,
    ( ~ spl0_8
    | ~ spl0_14
    | spl0_20 ),
    inference(sat_conversion,[],[f1297]) ).

cnf(s346,plain,
    ( ~ spl0_5
    | spl0_104
    | spl0_105
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1349]) ).

cnf(s377,plain,
    ( ~ spl0_28
    | ~ spl0_130
    | ~ spl0_131
    | spl0_154 ),
    inference(sat_conversion,[],[f1430]) ).

cnf(s381,plain,
    ( ~ spl0_31
    | spl0_89
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1455]) ).

cnf(s382,plain,
    ( ~ spl0_14
    | spl0_28
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f1456]) ).

cnf(s383,plain,
    ( ~ spl0_20
    | spl0_64
    | ~ spl0_111
    | spl0_156 ),
    inference(sat_conversion,[],[f1458]) ).

cnf(s391,plain,
    ( ~ spl0_46
    | spl0_77
    | spl0_78
    | spl0_79 ),
    inference(sat_conversion,[],[f1518]) ).

cnf(s402,plain,
    ( ~ spl0_19
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1580]) ).

cnf(s403,plain,
    ( ~ spl0_14
    | ~ spl0_143
    | ~ spl0_144
    | spl0_165 ),
    inference(sat_conversion,[],[f1581]) ).

cnf(s409,plain,
    ( ~ spl0_38
    | spl0_71
    | spl0_72
    | spl0_160 ),
    inference(sat_conversion,[],[f1588]) ).

cnf(s422,plain,
    ( ~ spl0_48
    | spl0_91
    | ~ spl0_132
    | spl0_166 ),
    inference(sat_conversion,[],[f1613]) ).

cnf(s427,plain,
    ( ~ spl0_15
    | spl0_71
    | spl0_72
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1619]) ).

cnf(s433,plain,
    ( ~ spl0_44
    | ~ spl0_126
    | ~ spl0_127
    | spl0_164 ),
    inference(sat_conversion,[],[f1625]) ).

cnf(s458,plain,
    ( ~ spl0_2
    | spl0_73
    | spl0_74
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1672]) ).

cnf(s462,plain,
    ( ~ spl0_6
    | ~ spl0_114
    | ~ spl0_115
    | spl0_161 ),
    inference(sat_conversion,[],[f1679]) ).

cnf(s479,plain,
    ( ~ spl0_21
    | spl0_61
    | spl0_62
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1696]) ).

cnf(s481,plain,
    ( ~ spl0_6
    | spl0_90
    | ~ spl0_132
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1702]) ).

cnf(s487,plain,
    ( ~ spl0_1
    | ~ spl0_122
    | ~ spl0_123
    | spl0_157 ),
    inference(sat_conversion,[],[f1725]) ).

cnf(s491,plain,
    ( ~ spl0_7
    | ~ spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1735]) ).

cnf(s525,plain,
    ( ~ spl0_22
    | spl0_91
    | ~ spl0_132
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1774]) ).

cnf(s526,plain,
    ( ~ spl0_22
    | spl0_89
    | ~ spl0_131
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1775]) ).

cnf(s528,plain,
    ( ~ spl0_22
    | spl0_69
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1777]) ).

cnf(s530,plain,
    ( ~ spl0_7
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1784]) ).

cnf(s531,plain,
    ( ~ spl0_7
    | ~ spl0_144
    | ~ spl0_145
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1785]) ).

cnf(s537,plain,
    ( ~ spl0_4
    | spl0_9
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1800]) ).

cnf(s544,plain,
    ( ~ spl0_24
    | ~ spl0_106
    | ~ spl0_107
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1805]) ).

cnf(s545,plain,
    ( ~ spl0_48
    | spl0_63
    | spl0_64
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1806]) ).

cnf(s546,plain,
    ( spl0_5
    | ~ spl0_18
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1807]) ).

cnf(s547,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1808]) ).

cnf(s548,plain,
    ( ~ spl0_48
    | spl0_93
    | spl0_94
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1809]) ).

cnf(s559,plain,
    ( ~ spl0_8
    | spl0_81
    | spl0_82
    | spl0_150 ),
    inference(sat_conversion,[],[f1819]) ).

cnf(s562,plain,
    ( ~ spl0_28
    | spl0_70
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1822]) ).

cnf(s565,plain,
    ( ~ spl0_46
    | spl0_87
    | spl0_88
    | spl0_168 ),
    inference(sat_conversion,[],[f1825]) ).

cnf(s567,plain,
    ( ~ spl0_46
    | spl0_80
    | spl0_82
    | spl0_150 ),
    inference(sat_conversion,[],[f1827]) ).

cnf(s573,plain,
    ( ~ spl0_44
    | ~ spl0_144
    | ~ spl0_145
    | spl0_165 ),
    inference(sat_conversion,[],[f1833]) ).

cnf(s574,plain,
    ( ~ spl0_2
    | spl0_81
    | spl0_82
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1843]) ).

cnf(s576,plain,
    ( ~ spl0_2
    | spl0_89
    | ~ spl0_131
    | spl0_154 ),
    inference(sat_conversion,[],[f1845]) ).

cnf(s581,plain,
    ( ~ spl0_17
    | spl0_97
    | spl0_98
    | spl0_99 ),
    inference(sat_conversion,[],[f1849]) ).

cnf(s583,plain,
    ( ~ spl0_17
    | spl0_86
    | spl0_88
    | spl0_168 ),
    inference(sat_conversion,[],[f1851]) ).

cnf(s585,plain,
    ( ~ spl0_17
    | spl0_90
    | spl0_91
    | spl0_166 ),
    inference(sat_conversion,[],[f1852]) ).

cnf(s591,plain,
    ( ~ spl0_4
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1865]) ).

cnf(s592,plain,
    ( ~ spl0_5
    | spl0_60
    | ~ spl0_109
    | spl0_155 ),
    inference(sat_conversion,[],[f1875]) ).

cnf(s594,plain,
    ( ~ spl0_5
    | spl0_90
    | ~ spl0_132
    | spl0_166 ),
    inference(sat_conversion,[],[f1877]) ).

cnf(s595,plain,
    ( ~ spl0_5
    | spl0_94
    | ~ spl0_135
    | spl0_167 ),
    inference(sat_conversion,[],[f1878]) ).

cnf(s614,plain,
    ( ~ spl0_20
    | spl0_74
    | ~ spl0_119
    | spl0_153 ),
    inference(sat_conversion,[],[f1910]) ).

cnf(s616,plain,
    ( ~ spl0_20
    | spl0_65
    | spl0_66
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1912]) ).

cnf(s617,plain,
    ( ~ spl0_20
    | spl0_61
    | spl0_62
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1913]) ).

cnf(s625,plain,
    ( ~ spl0_9
    | ~ spl0_106
    | ~ spl0_107
    | spl0_151 ),
    inference(sat_conversion,[],[f1931]) ).

cnf(s626,plain,
    ( ~ spl0_9
    | spl0_60
    | ~ spl0_109
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1932]) ).

cnf(s627,plain,
    ( ~ spl0_9
    | spl0_95
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1933]) ).

cnf(s630,plain,
    ( ~ spl0_12
    | spl0_83
    | ~ spl0_124
    | spl0_158 ),
    inference(sat_conversion,[],[f1943]) ).

cnf(s631,plain,
    ( ~ spl0_12
    | spl0_84
    | ~ spl0_126
    | spl0_164 ),
    inference(sat_conversion,[],[f1944]) ).

cnf(s632,plain,
    ( ~ spl0_13
    | spl0_86
    | spl0_88
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1960]) ).

cnf(s633,plain,
    ( ~ spl0_13
    | spl0_63
    | spl0_64
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f1961]) ).

cnf(s635,plain,
    ( ~ spl0_13
    | spl0_93
    | spl0_94
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1963]) ).

cnf(s641,plain,
    ( ~ spl0_15
    | spl0_80
    | spl0_81
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1969]) ).

cnf(s651,plain,
    ( ~ spl0_17
    | spl0_80
    | spl0_81
    | spl0_150 ),
    inference(sat_conversion,[],[f1982]) ).

cnf(s655,plain,
    ( ~ spl0_22
    | spl0_72
    | ~ spl0_118
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1985]) ).

cnf(s669,plain,
    ( ~ spl0_38
    | spl0_80
    | spl0_81
    | spl0_82 ),
    inference(sat_conversion,[],[f1998]) ).

cnf(s678,plain,
    ( ~ spl0_16
    | spl0_59
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f2036]) ).

cnf(s682,plain,
    ( ~ spl0_17
    | spl0_93
    | spl0_94
    | spl0_167 ),
    inference(sat_conversion,[],[f2052]) ).

cnf(s686,plain,
    ( ~ spl0_24
    | ~ spl0_114
    | ~ spl0_115
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2075]) ).

cnf(s693,plain,
    ( ~ spl0_28
    | spl0_76
    | ~ spl0_122
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2097]) ).

cnf(s694,plain,
    ( ~ spl0_28
    | spl0_83
    | ~ spl0_125
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2098]) ).

cnf(s707,plain,
    ( ~ spl0_47
    | spl0_85
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2157]) ).

cnf(s709,plain,
    ( spl0_6
    | ~ spl0_15
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2159]) ).

cnf(s710,plain,
    ( spl0_6
    | ~ spl0_22
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2160]) ).

cnf(s711,plain,
    ( ~ spl0_24
    | ~ spl0_130
    | ~ spl0_131
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2165]) ).

cnf(s714,plain,
    ( ~ spl0_28
    | ~ spl0_143
    | ~ spl0_145
    | spl0_165 ),
    inference(sat_conversion,[],[f2177]) ).

cnf(s715,plain,
    ( ~ spl0_58
    | spl0_84
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2178]) ).

cnf(s716,plain,
    ( spl0_6
    | ~ spl0_22
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f2179]) ).

cnf(s719,plain,
    spl0_3,
    inference(rat,[],[s147,s166,s168,s171]) ).

cnf(s720,plain,
    ( ~ spl0_39
    | ~ spl0_16 ),
    inference(rat,[],[s678,s55,s99,s100]) ).

cnf(s721,plain,
    ( spl0_13
    | ~ spl0_7
    | spl0_6
    | spl0_2 ),
    inference(rat,[],[s714,s531,s382,s136,s137,s138,s33,s48,s391,s715,s73,s74,s75,s80,s119,s120,s37,s49,s720,s6,s5,s266,s719]) ).

cnf(s722,plain,
    ( ~ spl0_25
    | ~ spl0_13 ),
    inference(rat,[],[s633,s59,s60,s104]) ).

cnf(s723,plain,
    ( ~ spl0_54
    | ~ spl0_18
    | ~ spl0_20 ),
    inference(rat,[],[s617,s205,s57,s58,s103]) ).

cnf(s725,plain,
    ( ~ spl0_55
    | ~ spl0_47 ),
    inference(rat,[],[s707,s81,s121,s122]) ).

cnf(s726,plain,
    ( ~ spl0_54
    | spl0_22
    | ~ spl0_20 ),
    inference(rat,[],[s9,s222,s479,s617,s57,s58,s103,s719]) ).

cnf(s727,plain,
    ( ~ spl0_26
    | ~ spl0_4 ),
    inference(rat,[],[s325,s133,s134,s135]) ).

cnf(s728,plain,
    ( ~ spl0_47
    | ~ spl0_20
    | spl0_9
    | spl0_6 ),
    inference(rat,[],[s45,s726,s725,s710,s719]) ).

cnf(s729,plain,
    ( spl0_9
    | spl0_25
    | spl0_6
    | spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s616,s61,s62,s105,s25,s196,s30,s728,s32,s537,s727,s719]) ).

cnf(s730,plain,
    ( ~ spl0_39
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(rat,[],[s544,s625,s99,s100]) ).

cnf(s731,plain,
    ( spl0_6
    | spl0_5
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s409,s22,s655,s402,s9,s136,s137,s138,s209,s48,s391,s715,s631,s530,s73,s74,s75,s80,s119,s120,s34,s37,s49,s730,s729,s67,s68,s111,s11,s38,s722,s721,s266,s2,s719]) ).

cnf(s733,plain,
    ( ~ spl0_49
    | ~ spl0_46 ),
    inference(rat,[],[s391,s73,s74,s75]) ).

cnf(s734,plain,
    ( spl0_17
    | spl0_25
    | ~ spl0_6
    | spl0_26
    | spl0_1 ),
    inference(rat,[],[s627,s91,s129,s130,s39,s733,s54,s45,s726,s27,s686,s283,s528,s462,s725,s65,s107,s108,s30,s31,s719]) ).

cnf(s736,plain,
    ( ~ spl0_53
    | ~ spl0_12
    | ~ spl0_7 ),
    inference(rat,[],[s631,s530,s80,s119,s120]) ).

cnf(s739,plain,
    ( ~ spl0_30
    | ~ spl0_24
    | ~ spl0_6 ),
    inference(rat,[],[s686,s462,s107,s108]) ).

cnf(s740,plain,
    ( ~ spl0_34
    | ~ spl0_31 ),
    inference(rat,[],[s381,s85,s123,s124]) ).

cnf(s741,plain,
    ( ~ spl0_53
    | ~ spl0_7
    | ~ spl0_44 ),
    inference(rat,[],[s433,s530,s119,s120]) ).

cnf(s743,plain,
    ( ~ spl0_51
    | ~ spl0_9 ),
    inference(rat,[],[s627,s91,s129,s130]) ).

cnf(s744,plain,
    ( ~ spl0_33
    | ~ spl0_7
    | ~ spl0_44 ),
    inference(rat,[],[s531,s573,s137,s138]) ).

cnf(s749,plain,
    ( ~ spl0_50
    | ~ spl0_15 ),
    inference(rat,[],[s427,s67,s68,s111]) ).

cnf(s751,plain,
    ( ~ spl0_96
    | ~ spl0_17 ),
    inference(rat,[],[s581,s92,s93,s94]) ).

cnf(s752,plain,
    ( ~ spl0_23
    | ~ spl0_6 ),
    inference(rat,[],[s328,s88,s126,s127]) ).

cnf(s753,plain,
    ( ~ spl0_17
    | ~ spl0_6
    | spl0_5
    | spl0_1 ),
    inference(rat,[],[s739,s27,s15,s616,s740,s61,s62,s105,s147,s25,s751,s196,s752,s719]) ).

cnf(s754,plain,
    ( spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s283,s6,s462,s722,s65,s107,s108,s734,s31,s753,s731,s727,s1,s719]) ).

cnf(s755,plain,
    ( ~ spl0_30
    | ~ spl0_6
    | ~ spl0_5
    | spl0_2 ),
    inference(rat,[],[s635,s595,s89,s90,s128,s6,s41,s283,s528,s462,s65,s107,s108,s752,s719]) ).

cnf(s756,plain,
    ( ~ spl0_6
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s147,s751,s740,s31,s15,s755,s752,s754,s719]) ).

cnf(s757,plain,
    ( ~ spl0_35
    | ~ spl0_7 ),
    inference(rat,[],[s491,s139,s140,s141]) ).

cnf(s758,plain,
    ( ~ spl0_7
    | spl0_15
    | ~ spl0_24
    | ~ spl0_31 ),
    inference(rat,[],[s630,s694,s79,s117,s118,s46,s18,s382,s730,s720,s17,s49,s744,s741,s43,s757,s740,s719]) ).

cnf(s759,plain,
    ( spl0_39
    | ~ spl0_50
    | ~ spl0_17
    | spl0_6 ),
    inference(rat,[],[s22,s402,s409,s136,s137,s138,s655,s48,s9,s715,s209,s224,s80,s119,s120,s733,s49,s37,s111,s68,s67,s749,s719]) ).

cnf(s761,plain,
    ( ~ spl0_103
    | ~ spl0_5 ),
    inference(rat,[],[s346,s97,s98,s132]) ).

cnf(s763,plain,
    ( ~ spl0_22
    | ~ spl0_17
    | spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s585,s525,s86,s87,s125,s13,s714,s403,s591,s136,s137,s138,s48,s716,s719]) ).

cnf(s764,plain,
    ( spl0_46
    | spl0_22
    | ~ spl0_17 ),
    inference(rat,[],[s9,s209,s224,s719]) ).

cnf(s765,plain,
    ( ~ spl0_17
    | spl0_103
    | spl0_6
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s32,s726,s537,s143,s743,s722,s39,s6,s720,s37,s733,s764,s763,s719]) ).

cnf(s766,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s32,s537,s726,s730,s143,s11,s722,s6,s720,s34,s709,s710,s30,s765,s761,s756,s754,s727,s1,s719]) ).

cnf(s767,plain,
    ( ~ spl0_17
    | spl0_23
    | ~ spl0_2 ),
    inference(rat,[],[s651,s574,s76,s77,s78,s40,s203,s576,s85,s123,s124,s147,s751,s719]) ).

cnf(s769,plain,
    ( ~ spl0_41
    | ~ spl0_20 ),
    inference(rat,[],[s105,s616,s61,s62]) ).

cnf(s772,plain,
    ( ~ spl0_45
    | ~ spl0_10 ),
    inference(rat,[],[s313,s56,s101,s102]) ).

cnf(s773,plain,
    ( ~ spl0_40
    | ~ spl0_20
    | ~ spl0_2 ),
    inference(rat,[],[s458,s614,s69,s70,s112]) ).

cnf(s774,plain,
    ( ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s772,s51,s25,s594,s548,s773,s769,s481,s86,s125,s13,s260,s562,s89,s90,s128,s66,s109,s110,s41,s26,s27,s528,s739,s65,s107,s108,s31,s767,s752,s766,s719]) ).

cnf(s775,plain,
    ( ~ spl0_24
    | ~ spl0_7
    | spl0_1 ),
    inference(rat,[],[s630,s694,s79,s117,s118,s260,s46,s17,s730,s744,s49,s44,s736,s19,s528,s65,s107,s108,s15,s758,s766,s266,s774,s757,s719]) ).

cnf(s776,plain,
    ( spl0_5
    | spl0_1 ),
    inference(rat,[],[s51,s546,s772,s23,s25,s773,s769,s27,s775,s2,s766,s774,s719]) ).

cnf(s777,plain,
    ( spl0_9
    | spl0_7
    | spl0_20
    | ~ spl0_2 ),
    inference(rat,[],[s559,s574,s77,s78,s16,s332,s3,s719]) ).

cnf(s778,plain,
    ( ~ spl0_17
    | spl0_46
    | ~ spl0_4
    | spl0_6 ),
    inference(rat,[],[s764,s763]) ).

cnf(s779,plain,
    ( spl0_39
    | ~ spl0_4
    | spl0_6 ),
    inference(rat,[],[s709,s34,s30,s778,s733,s37,s727,s719]) ).

cnf(s780,plain,
    ( spl0_20
    | ~ spl0_39
    | spl0_1 ),
    inference(rat,[],[s777,s730,s775,s27,s766,s719]) ).

cnf(s781,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s562,s66,s109,s110,s26,s260,s730,s5,s728,s709,s722,s30,s143,s651,s574,s723,s76,s77,s78,s23,s36,s773,s769,s780,s779,s727,s766,s774,s761,s776,s719]) ).

cnf(s782,plain,
    ( spl0_20
    | spl0_1 ),
    inference(rat,[],[s592,s626,s56,s102,s29,s733,s777,s37,s775,s780,s27,s766,s774,s776,s781,s719]) ).

cnf(s783,plain,
    spl0_1,
    inference(rat,[],[s562,s66,s109,s110,s260,s26,s5,s775,s266,s3,s626,s592,s56,s102,s29,s722,s559,s567,s143,s651,s574,s723,s76,s77,s78,s23,s36,s773,s769,s782,s781,s761,s776,s774,s766,s719]) ).

cnf(s784,plain,
    ~ spl0_57,
    inference(rat,[],[s242,s71,s113,s114,s783]) ).

cnf(s786,plain,
    ( spl0_17
    | spl0_39 ),
    inference(rat,[],[s749,s53,s34,s719]) ).

cnf(s788,plain,
    ( ~ spl0_39
    | spl0_20
    | spl0_2 ),
    inference(rat,[],[s32,s722,s547,s6,s730,s720,s27,s719,s783]) ).

cnf(s793,plain,
    ( ~ spl0_32
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(rat,[],[s641,s651,s76,s77]) ).

cnf(s794,plain,
    ( ~ spl0_27
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(rat,[],[s585,s525,s86,s87,s125]) ).

cnf(s795,plain,
    ( ~ spl0_29
    | ~ spl0_14 ),
    inference(rat,[],[s258,s72,s115,s116]) ).

cnf(s796,plain,
    ( spl0_29
    | spl0_39
    | spl0_2 ),
    inference(rat,[],[s402,s136,s137,s138,s48,s715,s80,s119,s120,s49,s793,s142,s14,s786,s719,s784]) ).

cnf(s797,plain,
    ( spl0_20
    | spl0_2
    | ~ spl0_6 ),
    inference(rat,[],[s481,s585,s86,s87,s125,s13,s795,s796,s377,s711,s123,s124,s147,s751,s786,s788,s27,s752,s719]) ).

cnf(s798,plain,
    ( spl0_39
    | spl0_2
    | ~ spl0_6 ),
    inference(rat,[],[s481,s585,s86,s87,s125,s13,s693,s487,s795,s72,s115,s116,s796,s786,s719,s783]) ).

cnf(s799,plain,
    ( ~ spl0_52
    | ~ spl0_17
    | ~ spl0_13 ),
    inference(rat,[],[s635,s682,s89,s90]) ).

cnf(s800,plain,
    ( ~ spl0_17
    | ~ spl0_39
    | spl0_2
    | spl0_23 ),
    inference(rat,[],[s730,s547,s227,s50,s14,s795,s13,s377,s794,s526,s41,s799,s85,s123,s124,s147,s751,s6,s720,s783,s719,s784]) ).

cnf(s801,plain,
    ( ~ spl0_29
    | ~ spl0_28 ),
    inference(rat,[],[s693,s487,s72,s115,s116,s783]) ).

cnf(s802,plain,
    ( spl0_29
    | ~ spl0_39
    | ~ spl0_20
    | spl0_2 ),
    inference(rat,[],[s54,s726,s733,s227,s39,s730,s743,s547,s50,s14,s722,s6,s720,s719,s783,s784]) ).

cnf(s803,plain,
    ( spl0_2
    | ~ spl0_6 ),
    inference(rat,[],[s565,s54,s632,s723,s82,s83,s84,s7,s21,s238,s487,s115,s116,s802,s800,s669,s76,s77,s78,s722,s40,s6,s720,s798,s797,s752,s719,s783]) ).

cnf(s804,plain,
    ( spl0_20
    | ~ spl0_39 ),
    inference(rat,[],[s237,s95,s96,s131,s145,s223,s749,s5,s795,s722,s50,s32,s547,s730,s8,s27,s720,s784,s719,s783]) ).

cnf(s805,plain,
    ( ~ spl0_28
    | spl0_17 ),
    inference(rat,[],[s562,s66,s109,s110,s26,s730,s547,s50,s801,s786,s719,s783,s784]) ).

cnf(s806,plain,
    ~ spl0_6,
    inference(rat,[],[s772,s51,s25,s422,s594,s481,s86,s87,s125,s13,s260,s805,s773,s769,s804,s786,s767,s803,s752,s719]) ).

cnf(s807,plain,
    ( spl0_39
    | spl0_2 ),
    inference(rat,[],[s794,s13,s764,s801,s795,s733,s796,s786,s37,s719,s806]) ).

cnf(s808,plain,
    spl0_2,
    inference(rat,[],[s723,s54,s7,s565,s583,s632,s82,s83,s84,s21,s669,s238,s487,s76,s77,s78,s115,s116,s36,s722,s802,s769,s6,s804,s720,s807,s719,s783,s806]) ).

cnf(s809,plain,
    spl0_39,
    inference(rat,[],[s237,s95,s96,s131,s4,s145,s772,s224,s759,s29,s733,s786,s779,s37,s719,s784,s806]) ).

cnf(s814,plain,
    spl0_20,
    inference(rat,[],[s804,s809]) ).

cnf(s815,plain,
    ~ spl0_41,
    inference(rat,[],[s769,s814]) ).

cnf(s816,plain,
    ~ spl0_40,
    inference(rat,[],[s773,s808,s814]) ).

cnf(s817,plain,
    spl0_32,
    inference(rat,[],[s36,s806,s719,s815]) ).

cnf(s818,plain,
    spl0_18,
    inference(rat,[],[s23,s806,s719,s816]) ).

cnf(s819,plain,
    ~ spl0_82,
    inference(rat,[],[s78,s817]) ).

cnf(s820,plain,
    ~ spl0_81,
    inference(rat,[],[s77,s817]) ).

cnf(s821,plain,
    ~ spl0_80,
    inference(rat,[],[s76,s817]) ).

cnf(s822,plain,
    ~ spl0_54,
    inference(rat,[],[s723,s814,s818]) ).

cnf(s823,plain,
    ~ spl0_150,
    inference(rat,[],[s574,s819,s808,s820]) ).

cnf(s825,plain,
    ~ spl0_46,
    inference(rat,[],[s567,s821,s819,s823]) ).

cnf(s827,plain,
    ~ spl0_17,
    inference(rat,[],[s651,s820,s821,s823]) ).

cnf(s828,plain,
    spl0_25,
    inference(rat,[],[s54,s822,s719,s825]) ).

cnf(s829,plain,
    ~ spl0_28,
    inference(rat,[],[s805,s827]) ).

cnf(s830,plain,
    spl0_111,
    inference(rat,[],[s104,s828]) ).

cnf(s831,plain,
    ~ spl0_64,
    inference(rat,[],[s60,s828]) ).

cnf(s832,plain,
    ~ spl0_63,
    inference(rat,[],[s59,s828]) ).

cnf(s833,plain,
    ~ spl0_13,
    inference(rat,[],[s722,s828]) ).

cnf(s834,plain,
    ~ spl0_14,
    inference(rat,[],[s260,s808,s829]) ).

cnf(s835,plain,
    spl0_156,
    inference(rat,[],[s383,s831,s814,s830]) ).

cnf(s837,plain,
    spl0_15,
    inference(rat,[],[s5,s833,s719,s834]) ).

cnf(s838,plain,
    ~ spl0_48,
    inference(rat,[],[s545,s831,s832,s835]) ).

cnf(s843,plain,
    ~ spl0_7,
    inference(rat,[],[s266,s806,s837]) ).

cnf(s846,plain,
    spl0_45,
    inference(rat,[],[s51,s816,s719,s838]) ).

cnf(s848,plain,
    spl0_5,
    inference(rat,[],[s2,s806,s719,s843]) ).

cnf(s854,plain,
    spl0_109,
    inference(rat,[],[s102,s846]) ).

cnf(s855,plain,
    spl0_108,
    inference(rat,[],[s101,s846]) ).

cnf(s856,plain,
    ~ spl0_60,
    inference(rat,[],[s56,s846]) ).

cnf(s864,plain,
    spl0_155,
    inference(rat,[],[s592,s854,s856,s848]) ).

cnf(s873,plain,
    $false,
    inference(rat,[],[s241,s855,s783,s864,s856]) ).

fof(f2182,plain,
    $false,
    inference(avatar_sat_refutation,[],[s873]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN444-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n019.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 16:03:18 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21  Running first-order theorem proving
% 0.08/0.21  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.01/1.10  % (4121903)Input is clausal, will run a generic CNF schedule.
% 3.01/1.10  % (4121924)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=81637383:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.01/1.10  % (4121925)lrs+10_1_sil=8000:sp=occurrence:random_seed=3867306124:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.01/1.10  % (4121923)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1720234958:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.01/1.10  % (4121926)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4033988864:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.01/1.10  % (4121928)dis-21_1_sil=8000:lcm=predicate:random_seed=178684507:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.01/1.10  % (4121922)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=432903996:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.01/1.10  % (4121927)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1049370805:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.01/1.10  % (4121928)First to succeed.
% 3.01/1.10  % (4121928)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4121903"
% 3.01/1.10  % (4121925)Instruction limit reached! 
% 3.01/1.10  % (4121925)------------------------------
% 3.01/1.10  % (4121925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.10  % (4121925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.10  % (4121925)CaDiCaL version: 2.1.3
% 3.01/1.10  % (4121925)Termination reason: Instruction limit
% 3.01/1.10  % (4121925)Termination phase: Saturation
% 3.01/1.10  % (4121925)Time elapsed: 0.072 s
% 3.01/1.10  % (4121925)Peak memory usage: 89 MB
% 3.01/1.10  % (4121925)Instructions burned: 107 (million)
% 3.01/1.10  % (4121926)Also succeeded, but the first one will report.
% 3.01/1.10  % (4121927)Also succeeded, but the first one will report.
% 3.01/1.10  % (4121937)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1295822654:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.01/1.10  % (4121928)Refutation found. Thanks to Tanya!
% 3.01/1.10  % SZS status Unsatisfiable for theBenchmark
% 3.01/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.20  % (4121928)------------------------------
% 0.19/1.20  % (4121928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.20  % (4121928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.20  % (4121928)CaDiCaL version: 2.1.3
% 0.19/1.20  % (4121928)Termination reason: Refutation
% 0.19/1.20  % (4121928)Time elapsed: 0.037 s
% 0.19/1.20  % (4121928)Peak memory usage: 90 MB
% 0.19/1.20  % (4121928)Instructions burned: 57 (million)
% 0.19/1.20  % (4121928)------------------------------
% 0.19/1.20  % (4121928)------------------------------
% 0.19/1.20  % (4121903)Success in time 0.426 s
% 0.19/1.20  % Vampire exiting
%------------------------------------------------------------------------------