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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN503-1 : 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 01:59:04 PM UTC 2026

% Result   : Unsatisfiable 0.64s 1.01s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp3
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ( hskp25
    | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f7,negated_conjecture,
    ( ~ hskp25
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

fof(f13,negated_conjecture,
    ( ~ hskp19
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

fof(f33,negated_conjecture,
    ( hskp20
    | hskp11
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp20
    | hskp10
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f36,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( hskp18
    | hskp27
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp12
    | hskp16
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( hskp12
    | hskp1
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp29
    | c0_1(a296) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f42,negated_conjecture,
    ( ~ hskp29
    | c3_1(a296) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp28
    | c0_1(a282) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f45,negated_conjecture,
    ( ~ hskp28
    | c2_1(a282) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp27
    | c1_1(a261) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp27
    | c2_1(a261) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp27
    | c3_1(a261) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp26
    | c0_1(a234) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp26
    | c1_1(a234) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp26
    | c3_1(a234) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp25
    | c2_1(a320) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp25
    | c3_1(a320) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp24
    | c1_1(a280) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp23
    | c1_1(a274) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f58,negated_conjecture,
    ( ~ hskp20
    | c0_1(a257) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp20
    | c1_1(a257) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp18
    | c0_1(a252) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp18
    | c2_1(a252) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp17
    | c1_1(a248) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp17
    | c3_1(a248) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp16
    | c0_1(a245) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp15
    | c1_1(a242) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp14
    | c3_1(a241) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp13
    | c2_1(a239) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp13
    | c3_1(a239) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp12
    | c0_1(a237) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp12
    | c2_1(a237) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp11
    | c0_1(a236) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp10
    | c1_1(a231) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp10
    | c3_1(a231) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp9
    | c0_1(a226) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp8
    | c3_1(a225) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp7
    | c1_1(a223) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp7
    | c2_1(a223) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp6
    | c1_1(a220) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp6
    | c2_1(a220) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp5
    | c3_1(a218) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp3
    | c0_1(a216) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp3
    | c1_1(a216) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp2
    | c2_1(a215) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp1
    | c2_1(a214) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp0
    | c2_1(a213) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f87,negated_conjecture,
    ( ~ c2_1(a280)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c3_1(a280)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c0_1(a274)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c3_1(a274)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ c0_1(a271)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ c1_1(a271)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c2_1(a271)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f95,negated_conjecture,
    ( ~ c3_1(a257)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c0_1(a255)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c1_1(a255)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c3_1(a255)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c1_1(a252)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c2_1(a248)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c1_1(a245)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c3_1(a245)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c0_1(a242)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c2_1(a242)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c0_1(a241)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a241)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c1_1(a239)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c3_1(a237)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c2_1(a236)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c3_1(a236)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c0_1(a231)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c1_1(a226)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c2_1(a226)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c0_1(a225)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c2_1(a225)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c0_1(a223)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c3_1(a220)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c1_1(a218)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c2_1(a218)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c1_1(a217)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c2_1(a217)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c3_1(a217)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c2_1(a216)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c0_1(a215)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c1_1(a215)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c0_1(a214)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c3_1(a214)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c1_1(a213)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c3_1(a213)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f132,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp6
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp27
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp3
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp2
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

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

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp3
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp26
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp26
      | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp16
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp1
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp15
      | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp3
      | hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp7
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp27
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp10
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp26
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

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

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f187,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

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

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

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

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

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

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

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

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

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

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

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

fof(f205,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f206,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f205]) ).

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

fof(f211,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f212,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f215,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f216,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f218,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f219,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f220,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f199,f211,f208,f218,f215]) ).

fof(f222,definition,
    ( spl0_7
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f223,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f224,plain,
    ( spl0_7
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f198,f211,f208,f205,f222]) ).

fof(f226,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f227,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f228,plain,
    ( spl0_8
    | spl0_6
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f197,f205,f208,f218,f226]) ).

fof(f230,definition,
    ( spl0_9
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f231,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f233,definition,
    ( spl0_10
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f234,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f235,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f196,f211,f208,f233,f230]) ).

fof(f237,definition,
    ( spl0_11
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f238,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f240,definition,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f241,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f242,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f195,f205,f208,f240,f237]) ).

fof(f244,definition,
    ( spl0_13
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f245,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f246,plain,
    ( spl0_7
    | spl0_13
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f194,f205,f208,f244,f222]) ).

fof(f248,definition,
    ( spl0_14
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f249,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f250,plain,
    ( spl0_14
    | spl0_9
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f193,f205,f208,f230,f248]) ).

fof(f252,definition,
    ( spl0_15
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f253,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f254,plain,
    ( spl0_7
    | spl0_15
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f192,f211,f208,f252,f222]) ).

fof(f255,plain,
    ( spl0_9
    | spl0_12
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f191,f244,f208,f240,f230]) ).

fof(f257,definition,
    ( spl0_16
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f258,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f260,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f261,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f262,plain,
    ( spl0_16
    | spl0_12
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f190,f260,f208,f240,f257]) ).

fof(f264,definition,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f265,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f266,plain,
    ( spl0_7
    | spl0_18
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f189,f218,f208,f264,f222]) ).

fof(f268,definition,
    ( spl0_19
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f272,definition,
    ( spl0_20
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f273,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f275,definition,
    ( spl0_21
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f276,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f277,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f187,f230,f208,f275,f272]) ).

fof(f279,definition,
    ( spl0_22
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f283,definition,
    ( spl0_23
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f284,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f285,plain,
    ( spl0_22
    | spl0_8
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f185,f283,f208,f226,f279]) ).

fof(f287,definition,
    ( spl0_24
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f290,definition,
    ( spl0_25
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f291,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f293,definition,
    ( spl0_26
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f294,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f295,plain,
    ( spl0_24
    | spl0_25
    | ~ spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f184,f293,f208,f290,f287]) ).

fof(f297,definition,
    ( spl0_27
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f298,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f299,plain,
    ( spl0_19
    | spl0_27
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f183,f215,f208,f297,f268]) ).

fof(f301,definition,
    ( spl0_28
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f302,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f303,plain,
    ( spl0_24
    | spl0_28
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f182,f260,f208,f301,f287]) ).

fof(f305,definition,
    ( spl0_29
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f308,definition,
    ( spl0_30
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f309,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f310,plain,
    ( spl0_29
    | spl0_28
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f181,f308,f208,f301,f305]) ).

fof(f312,definition,
    ( spl0_31
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f315,definition,
    ( spl0_32
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f316,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f317,plain,
    ( spl0_31
    | spl0_32
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f180,f215,f208,f315,f312]) ).

fof(f319,definition,
    ( spl0_33
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f321,plain,
    ( spl0_33
    | spl0_21
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f179,f205,f208,f275,f319]) ).

fof(f323,definition,
    ( spl0_34
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f325,plain,
    ( spl0_34
    | spl0_7
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f178,f283,f208,f222,f323]) ).

fof(f327,definition,
    ( spl0_35
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f328,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f329,plain,
    ( spl0_34
    | spl0_35
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f177,f215,f208,f327,f323]) ).

fof(f331,definition,
    ( spl0_36
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f333,plain,
    ( spl0_36
    | spl0_12
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f176,f308,f208,f240,f331]) ).

fof(f335,definition,
    ( spl0_37
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f337,plain,
    ( spl0_37
    | spl0_11
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f175,f226,f208,f237,f335]) ).

fof(f338,plain,
    ( spl0_36
    | spl0_28
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f174,f226,f208,f301,f331]) ).

fof(f340,definition,
    ( spl0_38
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f344,definition,
    ( spl0_39
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f348,definition,
    ( spl0_40
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f350,plain,
    ( spl0_40
    | spl0_32
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f171,f264,f208,f315,f348]) ).

fof(f352,definition,
    ( spl0_41
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f355,definition,
    ( spl0_42
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f356,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f357,plain,
    ( spl0_41
    | spl0_42
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f170,f218,f208,f355,f352]) ).

fof(f358,plain,
    ( spl0_38
    | spl0_42
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f169,f297,f208,f355,f340]) ).

fof(f360,definition,
    ( spl0_43
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f362,plain,
    ( spl0_43
    | spl0_14
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f168,f233,f208,f248,f360]) ).

fof(f364,definition,
    ( spl0_44
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f366,plain,
    ( spl0_44
    | spl0_14
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f167,f297,f208,f248,f364]) ).

fof(f367,plain,
    ( spl0_34
    | spl0_15
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f166,f233,f208,f252,f323]) ).

fof(f368,plain,
    ( spl0_39
    | spl0_15
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f165,f233,f208,f252,f344]) ).

fof(f370,definition,
    ( spl0_45
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f371,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f374,definition,
    ( spl0_46
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f377,definition,
    ( spl0_47
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f378,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f380,plain,
    ( spl0_34
    | spl0_18
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f162,f230,f208,f264,f323]) ).

fof(f381,plain,
    ( spl0_36
    | spl0_15
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f161,f257,f208,f252,f331]) ).

fof(f382,plain,
    ( spl0_31
    | spl0_45
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f160,f230,f208,f370,f312]) ).

fof(f383,plain,
    ( spl0_29
    | spl0_20
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f159,f237,f208,f272,f305]) ).

fof(f385,definition,
    ( spl0_48
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f386,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f387,plain,
    ( spl0_31
    | spl0_48
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f158,f226,f208,f385,f312]) ).

fof(f388,plain,
    ( spl0_36
    | spl0_47
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f157,f327,f208,f377,f331]) ).

fof(f390,definition,
    ( spl0_49
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f392,plain,
    ( spl0_49
    | spl0_39
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f156,f211,f208,f344,f390]) ).

fof(f393,plain,
    ( spl0_31
    | spl0_38
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f155,f205,f208,f340,f312]) ).

fof(f395,definition,
    ( spl0_50
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f397,plain,
    ( spl0_46
    | spl0_50
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f154,f283,f208,f395,f374]) ).

fof(f399,definition,
    ( spl0_51
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f401,plain,
    ( spl0_51
    | spl0_33
    | ~ spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f153,f293,f208,f319,f399]) ).

fof(f403,definition,
    ( spl0_52
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f405,plain,
    ( spl0_50
    | spl0_52
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f152,f244,f208,f403,f395]) ).

fof(f407,definition,
    ( spl0_53
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f409,plain,
    ( spl0_53
    | spl0_40
    | ~ spl0_3
    | spl0_30 ),
    inference(avatar_split_clause,[],[f151,f308,f208,f348,f407]) ).

fof(f410,plain,
    ( spl0_37
    | spl0_36
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f150,f290,f208,f331,f335]) ).

fof(f412,definition,
    ( spl0_54
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f415,definition,
    ( spl0_55
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f417,plain,
    ( spl0_54
    | spl0_55
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f149,f290,f208,f415,f412]) ).

fof(f419,definition,
    ( spl0_56
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f421,plain,
    ( spl0_56
    | spl0_39
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f148,f290,f208,f344,f419]) ).

fof(f424,definition,
    ( spl0_57
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f428,plain,
    ( spl0_29
    | spl0_39
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f144,f226,f208,f344,f305]) ).

fof(f436,definition,
    ( spl0_59
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f438,plain,
    ( spl0_59
    | spl0_52
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f140,f248,f208,f403,f436]) ).

fof(f439,plain,
    ( spl0_31
    | spl0_36
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f139,f275,f208,f331,f312]) ).

fof(f441,definition,
    ( spl0_60
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f443,plain,
    ( spl0_60
    | spl0_46
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f138,f222,f208,f374,f441]) ).

fof(f444,plain,
    ( spl0_51
    | spl0_52
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f137,f222,f208,f403,f399]) ).

fof(f445,plain,
    ( spl0_46
    | spl0_50
    | spl0_48
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f136,f208,f385,f395,f374]) ).

fof(f448,definition,
    ( spl0_61
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f452,plain,
    ( spl0_34
    | spl0_51
    | spl0_20
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f132,f208,f272,f399,f323]) ).

fof(f460,definition,
    ( spl0_63
  <=> c3_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f461,plain,
    ( ~ c3_1(a213)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f462,plain,
    ( ~ spl0_60
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f129,f460,f441]) ).

fof(f464,definition,
    ( spl0_64
  <=> c1_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f465,plain,
    ( ~ c1_1(a213)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f466,plain,
    ( ~ spl0_60
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f128,f464,f441]) ).

fof(f469,definition,
    ( spl0_65
  <=> c3_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f470,plain,
    ( ~ c3_1(a214)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f471,plain,
    ( ~ spl0_36
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f127,f469,f331]) ).

fof(f473,definition,
    ( spl0_66
  <=> c0_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f474,plain,
    ( ~ c0_1(a214)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f475,plain,
    ( ~ spl0_36
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f126,f473,f331]) ).

fof(f478,definition,
    ( spl0_67
  <=> c1_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f479,plain,
    ( ~ c1_1(a215)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f480,plain,
    ( ~ spl0_46
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f125,f478,f374]) ).

fof(f482,definition,
    ( spl0_68
  <=> c0_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f483,plain,
    ( ~ c0_1(a215)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f484,plain,
    ( ~ spl0_46
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f124,f482,f374]) ).

fof(f487,definition,
    ( spl0_69
  <=> c2_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f488,plain,
    ( ~ c2_1(a216)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f489,plain,
    ( ~ spl0_52
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f123,f487,f403]) ).

fof(f492,definition,
    ( spl0_70
  <=> c3_1(a217) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f493,plain,
    ( ~ c3_1(a217)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f494,plain,
    ( ~ spl0_54
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f122,f492,f412]) ).

fof(f496,definition,
    ( spl0_71
  <=> c2_1(a217) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f497,plain,
    ( ~ c2_1(a217)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f498,plain,
    ( ~ spl0_54
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f121,f496,f412]) ).

fof(f500,definition,
    ( spl0_72
  <=> c1_1(a217) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f501,plain,
    ( ~ c1_1(a217)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f502,plain,
    ( ~ spl0_54
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f120,f500,f412]) ).

fof(f505,definition,
    ( spl0_73
  <=> c2_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f506,plain,
    ( ~ c2_1(a218)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f507,plain,
    ( ~ spl0_34
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f119,f505,f323]) ).

fof(f509,definition,
    ( spl0_74
  <=> c1_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f510,plain,
    ( ~ c1_1(a218)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f511,plain,
    ( ~ spl0_34
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f118,f509,f323]) ).

fof(f514,definition,
    ( spl0_75
  <=> c3_1(a220) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f516,plain,
    ( ~ spl0_51
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f117,f514,f399]) ).

fof(f519,definition,
    ( spl0_76
  <=> c0_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f520,plain,
    ( ~ c0_1(a223)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f521,plain,
    ( ~ spl0_33
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f116,f519,f319]) ).

fof(f524,definition,
    ( spl0_77
  <=> c2_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f525,plain,
    ( ~ c2_1(a225)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f526,plain,
    ( ~ spl0_31
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f115,f524,f312]) ).

fof(f528,definition,
    ( spl0_78
  <=> c0_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f529,plain,
    ( ~ c0_1(a225)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f530,plain,
    ( ~ spl0_31
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f114,f528,f312]) ).

fof(f533,definition,
    ( spl0_79
  <=> c2_1(a226) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f534,plain,
    ( ~ c2_1(a226)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f535,plain,
    ( ~ spl0_29
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f113,f533,f305]) ).

fof(f537,definition,
    ( spl0_80
  <=> c1_1(a226) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f538,plain,
    ( ~ c1_1(a226)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f539,plain,
    ( ~ spl0_29
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f112,f537,f305]) ).

fof(f542,definition,
    ( spl0_81
  <=> c0_1(a231) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f543,plain,
    ( ~ c0_1(a231)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f544,plain,
    ( ~ spl0_38
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f111,f542,f340]) ).

fof(f547,definition,
    ( spl0_82
  <=> c3_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f548,plain,
    ( ~ c3_1(a236)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f549,plain,
    ( ~ spl0_44
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f110,f547,f364]) ).

fof(f551,definition,
    ( spl0_83
  <=> c2_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f552,plain,
    ( ~ c2_1(a236)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f553,plain,
    ( ~ spl0_44
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f109,f551,f364]) ).

fof(f556,definition,
    ( spl0_84
  <=> c3_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f557,plain,
    ( ~ c3_1(a237)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f558,plain,
    ( ~ spl0_43
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f108,f556,f360]) ).

fof(f561,definition,
    ( spl0_85
  <=> c1_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f562,plain,
    ( ~ c1_1(a239)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f563,plain,
    ( ~ spl0_59
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f107,f561,f436]) ).

fof(f566,definition,
    ( spl0_86
  <=> c1_1(a241) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f567,plain,
    ( ~ c1_1(a241)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f568,plain,
    ( ~ spl0_41
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f106,f566,f352]) ).

fof(f570,definition,
    ( spl0_87
  <=> c0_1(a241) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f572,plain,
    ( ~ spl0_41
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f105,f570,f352]) ).

fof(f575,definition,
    ( spl0_88
  <=> c2_1(a242) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f577,plain,
    ( ~ spl0_40
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f104,f575,f348]) ).

fof(f579,definition,
    ( spl0_89
  <=> c0_1(a242) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f581,plain,
    ( ~ spl0_40
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f103,f579,f348]) ).

fof(f584,definition,
    ( spl0_90
  <=> c3_1(a245) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f586,plain,
    ( ~ spl0_55
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f102,f584,f415]) ).

fof(f588,definition,
    ( spl0_91
  <=> c1_1(a245) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f589,plain,
    ( ~ c1_1(a245)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f590,plain,
    ( ~ spl0_55
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f101,f588,f415]) ).

fof(f593,definition,
    ( spl0_92
  <=> c2_1(a248) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f594,plain,
    ( ~ c2_1(a248)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f595,plain,
    ( ~ spl0_57
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f100,f593,f424]) ).

fof(f598,definition,
    ( spl0_93
  <=> c1_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f599,plain,
    ( ~ c1_1(a252)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f600,plain,
    ( ~ spl0_24
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f99,f598,f287]) ).

fof(f603,definition,
    ( spl0_94
  <=> c3_1(a255) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f604,plain,
    ( ~ c3_1(a255)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f605,plain,
    ( ~ spl0_37
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f98,f603,f335]) ).

fof(f607,definition,
    ( spl0_95
  <=> c1_1(a255) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f608,plain,
    ( ~ c1_1(a255)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f609,plain,
    ( ~ spl0_37
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f97,f607,f335]) ).

fof(f611,definition,
    ( spl0_96
  <=> c0_1(a255) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f612,plain,
    ( ~ c0_1(a255)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f613,plain,
    ( ~ spl0_37
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f96,f611,f335]) ).

fof(f616,definition,
    ( spl0_97
  <=> c3_1(a257) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f617,plain,
    ( ~ c3_1(a257)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f618,plain,
    ( ~ spl0_61
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f95,f616,f448]) ).

fof(f626,definition,
    ( spl0_99
  <=> c2_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f627,plain,
    ( ~ c2_1(a271)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f628,plain,
    ( ~ spl0_19
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f93,f626,f268]) ).

fof(f630,definition,
    ( spl0_100
  <=> c1_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f631,plain,
    ( ~ c1_1(a271)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f632,plain,
    ( ~ spl0_19
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f92,f630,f268]) ).

fof(f634,definition,
    ( spl0_101
  <=> c0_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f635,plain,
    ( ~ c0_1(a271)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f636,plain,
    ( ~ spl0_19
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f91,f634,f268]) ).

fof(f639,definition,
    ( spl0_102
  <=> c3_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f640,plain,
    ( ~ c3_1(a274)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f641,plain,
    ( ~ spl0_56
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f90,f639,f419]) ).

fof(f643,definition,
    ( spl0_103
  <=> c0_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f645,plain,
    ( ~ spl0_56
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f89,f643,f419]) ).

fof(f648,definition,
    ( spl0_104
  <=> c3_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f649,plain,
    ( ~ c3_1(a280)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f650,plain,
    ( ~ spl0_53
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f88,f648,f407]) ).

fof(f652,definition,
    ( spl0_105
  <=> c2_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f653,plain,
    ( ~ c2_1(a280)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f654,plain,
    ( ~ spl0_53
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f87,f652,f407]) ).

fof(f656,definition,
    ( spl0_106
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f663,definition,
    ( spl0_108
  <=> c2_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f664,plain,
    ( c2_1(a213)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f665,plain,
    ( spl0_108
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f85,f441,f663]) ).

fof(f667,definition,
    ( spl0_109
  <=> c2_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f668,plain,
    ( c2_1(a214)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f669,plain,
    ( spl0_109
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f84,f331,f667]) ).

fof(f671,definition,
    ( spl0_110
  <=> c2_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f672,plain,
    ( c2_1(a215)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f673,plain,
    ( spl0_110
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f83,f374,f671]) ).

fof(f675,definition,
    ( spl0_111
  <=> c1_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f676,plain,
    ( c1_1(a216)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f677,plain,
    ( spl0_111
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f82,f403,f675]) ).

fof(f679,definition,
    ( spl0_112
  <=> c0_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f680,plain,
    ( c0_1(a216)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f681,plain,
    ( spl0_112
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f81,f403,f679]) ).

fof(f683,definition,
    ( spl0_113
  <=> c3_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f684,plain,
    ( c3_1(a218)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f685,plain,
    ( spl0_113
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f80,f323,f683]) ).

fof(f687,definition,
    ( spl0_114
  <=> c2_1(a220) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f688,plain,
    ( c2_1(a220)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f689,plain,
    ( spl0_114
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f79,f399,f687]) ).

fof(f691,definition,
    ( spl0_115
  <=> c1_1(a220) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f692,plain,
    ( c1_1(a220)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f693,plain,
    ( spl0_115
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f78,f399,f691]) ).

fof(f695,definition,
    ( spl0_116
  <=> c2_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f696,plain,
    ( c2_1(a223)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f697,plain,
    ( spl0_116
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f77,f319,f695]) ).

fof(f699,definition,
    ( spl0_117
  <=> c1_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f700,plain,
    ( c1_1(a223)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f701,plain,
    ( spl0_117
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f76,f319,f699]) ).

fof(f703,definition,
    ( spl0_118
  <=> c3_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f704,plain,
    ( c3_1(a225)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f705,plain,
    ( spl0_118
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f75,f312,f703]) ).

fof(f707,definition,
    ( spl0_119
  <=> c0_1(a226) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f708,plain,
    ( c0_1(a226)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f709,plain,
    ( spl0_119
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f74,f305,f707]) ).

fof(f711,definition,
    ( spl0_120
  <=> c3_1(a231) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f712,plain,
    ( c3_1(a231)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f713,plain,
    ( spl0_120
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f73,f340,f711]) ).

fof(f715,definition,
    ( spl0_121
  <=> c1_1(a231) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f716,plain,
    ( c1_1(a231)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f717,plain,
    ( spl0_121
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f72,f340,f715]) ).

fof(f719,definition,
    ( spl0_122
  <=> c0_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f720,plain,
    ( c0_1(a236)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f721,plain,
    ( spl0_122
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f71,f364,f719]) ).

fof(f723,definition,
    ( spl0_123
  <=> c2_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f724,plain,
    ( c2_1(a237)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f725,plain,
    ( spl0_123
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f70,f360,f723]) ).

fof(f727,definition,
    ( spl0_124
  <=> c0_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f728,plain,
    ( c0_1(a237)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f729,plain,
    ( spl0_124
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f69,f360,f727]) ).

fof(f731,definition,
    ( spl0_125
  <=> c3_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f732,plain,
    ( c3_1(a239)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f733,plain,
    ( spl0_125
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f68,f436,f731]) ).

fof(f735,definition,
    ( spl0_126
  <=> c2_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f736,plain,
    ( c2_1(a239)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f737,plain,
    ( spl0_126
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f67,f436,f735]) ).

fof(f739,definition,
    ( spl0_127
  <=> c3_1(a241) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f740,plain,
    ( c3_1(a241)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f741,plain,
    ( spl0_127
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f66,f352,f739]) ).

fof(f743,definition,
    ( spl0_128
  <=> c1_1(a242) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f744,plain,
    ( c1_1(a242)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f745,plain,
    ( spl0_128
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f65,f348,f743]) ).

fof(f747,definition,
    ( spl0_129
  <=> c0_1(a245) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f748,plain,
    ( c0_1(a245)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f749,plain,
    ( spl0_129
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f64,f415,f747]) ).

fof(f751,definition,
    ( spl0_130
  <=> c3_1(a248) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f752,plain,
    ( c3_1(a248)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f753,plain,
    ( spl0_130
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f63,f424,f751]) ).

fof(f755,definition,
    ( spl0_131
  <=> c1_1(a248) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f756,plain,
    ( c1_1(a248)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f757,plain,
    ( spl0_131
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f62,f424,f755]) ).

fof(f759,definition,
    ( spl0_132
  <=> c2_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f760,plain,
    ( c2_1(a252)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f761,plain,
    ( spl0_132
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f61,f287,f759]) ).

fof(f763,definition,
    ( spl0_133
  <=> c0_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f764,plain,
    ( c0_1(a252)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f765,plain,
    ( spl0_133
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f60,f287,f763]) ).

fof(f767,definition,
    ( spl0_134
  <=> c1_1(a257) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f768,plain,
    ( c1_1(a257)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f769,plain,
    ( spl0_134
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f59,f448,f767]) ).

fof(f771,definition,
    ( spl0_135
  <=> c0_1(a257) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f772,plain,
    ( c0_1(a257)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f773,plain,
    ( spl0_135
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f58,f448,f771]) ).

fof(f783,definition,
    ( spl0_138
  <=> c1_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f784,plain,
    ( c1_1(a274)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f785,plain,
    ( spl0_138
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f55,f419,f783]) ).

fof(f787,definition,
    ( spl0_139
  <=> c1_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f788,plain,
    ( c1_1(a280)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f789,plain,
    ( spl0_139
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f54,f407,f787]) ).

fof(f791,definition,
    ( spl0_140
  <=> c3_1(a320) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f792,plain,
    ( c3_1(a320)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f793,plain,
    ( spl0_140
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f53,f656,f791]) ).

fof(f795,definition,
    ( spl0_141
  <=> c2_1(a320) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f796,plain,
    ( c2_1(a320)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f797,plain,
    ( spl0_141
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f52,f656,f795]) ).

fof(f799,definition,
    ( spl0_142
  <=> c3_1(a234) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f800,plain,
    ( c3_1(a234)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f802,plain,
    ( spl0_142
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f51,f344,f799]) ).

fof(f804,definition,
    ( spl0_143
  <=> c1_1(a234) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f805,plain,
    ( c1_1(a234)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f806,plain,
    ( spl0_143
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f50,f344,f804]) ).

fof(f808,definition,
    ( spl0_144
  <=> c0_1(a234) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f809,plain,
    ( c0_1(a234)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f810,plain,
    ( spl0_144
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f49,f344,f808]) ).

fof(f812,definition,
    ( spl0_145
  <=> c3_1(a261) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f813,plain,
    ( c3_1(a261)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f815,plain,
    ( spl0_145
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f48,f395,f812]) ).

fof(f817,definition,
    ( spl0_146
  <=> c2_1(a261) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f819,plain,
    ( spl0_146
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f47,f395,f817]) ).

fof(f821,definition,
    ( spl0_147
  <=> c1_1(a261) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f822,plain,
    ( c1_1(a261)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f823,plain,
    ( spl0_147
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f46,f395,f821]) ).

fof(f825,definition,
    ( spl0_148
  <=> c2_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f826,plain,
    ( c2_1(a282)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f828,plain,
    ( spl0_148
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f45,f279,f825]) ).

fof(f834,definition,
    ( spl0_150
  <=> c0_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f835,plain,
    ( c0_1(a282)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f836,plain,
    ( spl0_150
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f43,f279,f834]) ).

fof(f838,definition,
    ( spl0_151
  <=> c3_1(a296) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f839,plain,
    ( c3_1(a296)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f841,plain,
    ( spl0_151
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f42,f390,f838]) ).

fof(f847,definition,
    ( spl0_153
  <=> c0_1(a296) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f848,plain,
    ( c0_1(a296)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f849,plain,
    ( spl0_153
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f40,f390,f847]) ).

fof(f850,plain,
    ( spl0_60
    | spl0_36
    | spl0_43 ),
    inference(avatar_split_clause,[],[f39,f360,f331,f441]) ).

fof(f851,plain,
    ( spl0_59
    | spl0_55
    | spl0_43 ),
    inference(avatar_split_clause,[],[f38,f360,f415,f436]) ).

fof(f852,plain,
    ( spl0_57
    | spl0_50
    | spl0_24 ),
    inference(avatar_split_clause,[],[f37,f287,f395,f424]) ).

fof(f853,plain,
    ( spl0_19
    | spl0_29
    | spl0_24 ),
    inference(avatar_split_clause,[],[f36,f287,f305,f268]) ).

fof(f855,plain,
    ( spl0_46
    | spl0_38
    | spl0_61 ),
    inference(avatar_split_clause,[],[f34,f448,f340,f374]) ).

fof(f856,plain,
    ( spl0_36
    | spl0_44
    | spl0_61 ),
    inference(avatar_split_clause,[],[f33,f448,f364,f331]) ).

fof(f877,plain,
    ( spl0_3
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f13,f335,f208]) ).

fof(f883,plain,
    ( spl0_3
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f7,f656,f208]) ).

fof(f889,plain,
    ( spl0_37
    | spl0_106 ),
    inference(avatar_split_clause,[],[f2,f656,f335]) ).

fof(f890,plain,
    ( spl0_55
    | spl0_52 ),
    inference(avatar_split_clause,[],[f1,f403,f415]) ).

fof(f894,plain,
    ( c2_1(a216)
    | ~ c0_1(a216)
    | ~ spl0_5
    | ~ spl0_111 ),
    inference(resolution,[],[f216,f676]) ).

fof(f897,plain,
    ( ~ c0_1(a216)
    | ~ spl0_5
    | spl0_69
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f894,f488]) ).

fof(f898,plain,
    ( $false
    | ~ spl0_5
    | spl0_69
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f897,f680]) ).

fof(f899,plain,
    ( ~ spl0_5
    | spl0_69
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f898]) ).

fof(f900,plain,
    ( c3_1(a216)
    | ~ c0_1(a216)
    | ~ spl0_6
    | ~ spl0_111 ),
    inference(resolution,[],[f219,f676]) ).

fof(f902,plain,
    ( c3_1(a216)
    | ~ spl0_6
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f900,f680]) ).

fof(f904,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(resolution,[],[f223,f212]) ).

fof(f905,plain,
    ( ~ c2_1(a215)
    | c0_1(a215)
    | ~ spl0_7
    | spl0_67 ),
    inference(resolution,[],[f223,f479]) ).

fof(f907,plain,
    ( ~ c2_1(a255)
    | c0_1(a255)
    | ~ spl0_7
    | spl0_95 ),
    inference(resolution,[],[f223,f608]) ).

fof(f909,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f904]) ).

fof(f910,plain,
    ( ~ c2_1(a255)
    | ~ spl0_7
    | spl0_95
    | spl0_96 ),
    inference(forward_subsumption_resolution,[],[f907,f612]) ).

fof(f911,plain,
    ( c0_1(a215)
    | ~ spl0_7
    | spl0_67
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f905,f672]) ).

fof(f915,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f284,f219]) ).

fof(f917,plain,
    ( ~ c0_1(a216)
    | ~ spl0_6
    | ~ spl0_23
    | ~ spl0_111 ),
    inference(resolution,[],[f915,f676]) ).

fof(f919,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_23
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f917,f680]) ).

fof(f920,plain,
    ( ~ spl0_6
    | ~ spl0_23
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f919]) ).

fof(f921,plain,
    ( c3_1(a216)
    | c2_1(a216)
    | ~ spl0_8
    | ~ spl0_111 ),
    inference(resolution,[],[f227,f676]) ).

fof(f923,plain,
    ( c3_1(a216)
    | ~ spl0_8
    | spl0_69
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f921,f488]) ).

fof(f924,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(resolution,[],[f231,f227]) ).

fof(f930,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f924]) ).

fof(f932,plain,
    ( spl0_35
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f930,f230,f226,f327]) ).

fof(f934,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f234,f212]) ).

fof(f937,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(resolution,[],[f934,f231]) ).

fof(f946,definition,
    ( spl0_154
  <=> c0_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f953,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f261,f934]) ).

fof(f955,plain,
    ( ~ c3_1(a248)
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_17
    | ~ spl0_131 ),
    inference(resolution,[],[f953,f756]) ).

fof(f957,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_17
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f955,f752]) ).

fof(f958,plain,
    ( ~ spl0_4
    | ~ spl0_10
    | ~ spl0_17
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f957]) ).

fof(f961,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f241,f934]) ).

fof(f963,plain,
    ( ~ c2_1(a237)
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_12
    | spl0_84 ),
    inference(resolution,[],[f961,f557]) ).

fof(f971,plain,
    ( c3_1(a213)
    | ~ c0_1(a213)
    | ~ spl0_9
    | spl0_64 ),
    inference(resolution,[],[f465,f231]) ).

fof(f972,plain,
    ( ~ c0_1(a213)
    | ~ spl0_9
    | spl0_63
    | spl0_64 ),
    inference(forward_subsumption_resolution,[],[f971,f461]) ).

fof(f978,plain,
    ( c2_1(a248)
    | c0_1(a248)
    | ~ spl0_15
    | ~ spl0_130 ),
    inference(resolution,[],[f253,f752]) ).

fof(f981,plain,
    ( c0_1(a248)
    | ~ spl0_15
    | spl0_92
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f978,f594]) ).

fof(f988,plain,
    ( c2_1(a271)
    | ~ c3_1(a271)
    | ~ spl0_18
    | spl0_100 ),
    inference(resolution,[],[f265,f631]) ).

fof(f993,plain,
    ( ~ c3_1(a271)
    | ~ spl0_18
    | spl0_99
    | spl0_100 ),
    inference(forward_subsumption_resolution,[],[f988,f627]) ).

fof(f998,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_12
    | spl0_84
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f724,f963]) ).

fof(f999,plain,
    ( ~ spl0_4
    | ~ spl0_10
    | ~ spl0_12
    | spl0_84
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f998]) ).

fof(f1000,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f245,f253]) ).

fof(f1001,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_15
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f273,f253]) ).

fof(f1006,plain,
    ( c2_1(a248)
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_130 ),
    inference(resolution,[],[f1000,f752]) ).

fof(f1008,plain,
    ( c2_1(a216)
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | spl0_69
    | ~ spl0_111 ),
    inference(resolution,[],[f1000,f923]) ).

fof(f1009,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | spl0_69
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f1008,f488]) ).

fof(f1010,plain,
    ( ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | spl0_69
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f1009]) ).

fof(f1015,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f245,f206]) ).

fof(f1032,definition,
    ( spl0_155
  <=> c0_1(a248) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1033,plain,
    ( c0_1(a248)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f1036,plain,
    ( spl0_92
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1006,f751,f252,f244,f593]) ).

fof(f1047,definition,
    ( spl0_156
  <=> c0_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1054,plain,
    ( c0_1(a271)
    | ~ spl0_15
    | ~ spl0_20
    | spl0_99 ),
    inference(resolution,[],[f1001,f627]) ).

fof(f1056,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_20
    | spl0_99
    | spl0_101 ),
    inference(forward_subsumption_resolution,[],[f1054,f635]) ).

fof(f1057,plain,
    ( ~ spl0_15
    | ~ spl0_20
    | spl0_99
    | spl0_101 ),
    inference(avatar_contradiction_clause,[],[f1056]) ).

fof(f1059,plain,
    ( ~ c2_1(a220)
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_115 ),
    inference(resolution,[],[f692,f934]) ).

fof(f1100,plain,
    ( c2_1(a225)
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_118 ),
    inference(resolution,[],[f704,f1000]) ).

fof(f1103,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_15
    | spl0_77
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f1100,f525]) ).

fof(f1104,plain,
    ( ~ spl0_13
    | ~ spl0_15
    | spl0_77
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f1103]) ).

fof(f1109,plain,
    ( c0_1(a255)
    | ~ spl0_7
    | ~ spl0_15
    | ~ spl0_20
    | spl0_95 ),
    inference(forward_subsumption_resolution,[],[f907,f1001]) ).

fof(f1112,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2) )
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f227,f934]) ).

fof(f1122,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_15
    | ~ spl0_20
    | spl0_95
    | spl0_96 ),
    inference(forward_subsumption_resolution,[],[f1109,f612]) ).

fof(f1123,plain,
    ( ~ spl0_7
    | ~ spl0_15
    | ~ spl0_20
    | spl0_95
    | spl0_96 ),
    inference(avatar_contradiction_clause,[],[f1122]) ).

fof(f1158,plain,
    ( spl0_26
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f937,f233,f230,f211,f293]) ).

fof(f1160,definition,
    ( spl0_157
  <=> c0_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1161,plain,
    ( ~ c0_1(a213)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1160]) ).

fof(f1168,plain,
    ( ~ c3_1(a231)
    | ~ c2_1(a231)
    | ~ spl0_4
    | ~ spl0_121 ),
    inference(resolution,[],[f716,f212]) ).

fof(f1169,plain,
    ( ~ c3_1(a231)
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f1168,f1000]) ).

fof(f1170,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f1169,f712]) ).

fof(f1171,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f1170]) ).

fof(f1180,plain,
    ( ~ c3_1(a234)
    | ~ c2_1(a234)
    | ~ spl0_4
    | ~ spl0_143 ),
    inference(resolution,[],[f805,f212]) ).

fof(f1238,plain,
    ( ~ c2_1(a223)
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_117 ),
    inference(resolution,[],[f700,f934]) ).

fof(f1239,plain,
    ( ~ c3_1(a223)
    | ~ c2_1(a223)
    | ~ spl0_4
    | ~ spl0_117 ),
    inference(resolution,[],[f700,f212]) ).

fof(f1241,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f1238,f696]) ).

fof(f1242,plain,
    ( ~ spl0_4
    | ~ spl0_10
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f1241]) ).

fof(f1245,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f227,f1000]) ).

fof(f1303,plain,
    ( c2_1(a274)
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_138 ),
    inference(resolution,[],[f1245,f784]) ).

fof(f1318,plain,
    ( c3_1(a252)
    | ~ c2_1(a252)
    | ~ spl0_12
    | spl0_93 ),
    inference(resolution,[],[f241,f599]) ).

fof(f1322,plain,
    ( c3_1(a215)
    | ~ c2_1(a215)
    | ~ spl0_12
    | spl0_67 ),
    inference(resolution,[],[f241,f479]) ).

fof(f1323,plain,
    ( c3_1(a213)
    | ~ c2_1(a213)
    | ~ spl0_12
    | spl0_64 ),
    inference(resolution,[],[f241,f465]) ).

fof(f1324,plain,
    ( c3_1(a255)
    | ~ c2_1(a255)
    | ~ spl0_12
    | spl0_95 ),
    inference(resolution,[],[f241,f608]) ).

fof(f1328,plain,
    ( ~ c2_1(a255)
    | ~ spl0_12
    | spl0_94
    | spl0_95 ),
    inference(forward_subsumption_resolution,[],[f1324,f604]) ).

fof(f1329,plain,
    ( ~ c2_1(a213)
    | ~ spl0_12
    | spl0_63
    | spl0_64 ),
    inference(forward_subsumption_resolution,[],[f1323,f461]) ).

fof(f1330,plain,
    ( c3_1(a215)
    | ~ spl0_12
    | spl0_67
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f1322,f672]) ).

fof(f1334,plain,
    ( c3_1(a252)
    | ~ spl0_12
    | spl0_93
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f1318,f760]) ).

fof(f1337,plain,
    ( $false
    | ~ spl0_12
    | spl0_63
    | spl0_64
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f1329,f664]) ).

fof(f1338,plain,
    ( ~ spl0_12
    | spl0_63
    | spl0_64
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f1337]) ).

fof(f1367,definition,
    ( spl0_158
  <=> c2_1(a255) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1368,plain,
    ( ~ c2_1(a255)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1367]) ).

fof(f1373,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(resolution,[],[f249,f241]) ).

fof(f1380,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f1373]) ).

fof(f1403,plain,
    ( ~ c0_1(a252)
    | ~ c2_1(a252)
    | ~ spl0_27
    | spl0_93 ),
    inference(resolution,[],[f298,f599]) ).

fof(f1405,plain,
    ( ~ c0_1(a239)
    | ~ c2_1(a239)
    | ~ spl0_27
    | spl0_85 ),
    inference(resolution,[],[f298,f562]) ).

fof(f1411,definition,
    ( spl0_159
  <=> c0_1(a217) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1430,plain,
    ( ~ c3_1(a261)
    | ~ c2_1(a261)
    | ~ spl0_4
    | ~ spl0_147 ),
    inference(resolution,[],[f822,f212]) ).

fof(f1431,plain,
    ( ~ c3_1(a261)
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f1430,f1000]) ).

fof(f1432,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_145
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f1431,f813]) ).

fof(f1433,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_145
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1432]) ).

fof(f1444,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f309,f212]) ).

fof(f1445,plain,
    ( ! [X0] : ~ c3_1(X0)
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f1444,f1000]) ).

fof(f1446,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_30
    | ~ spl0_140 ),
    inference(resolution,[],[f1445,f792]) ).

fof(f1447,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_30
    | ~ spl0_125 ),
    inference(resolution,[],[f1445,f732]) ).

fof(f1450,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_30
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f1447]) ).

fof(f1451,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_30
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1446]) ).

fof(f1503,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_15
    | ~ spl0_20
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f356,f1001]) ).

fof(f1504,plain,
    ( ! [X1] : c0_1(X1)
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f1503,f1445]) ).

fof(f1514,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_42
    | spl0_96 ),
    inference(resolution,[],[f1504,f612]) ).

fof(f1515,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_42
    | spl0_96 ),
    inference(avatar_contradiction_clause,[],[f1514]) ).

fof(f1573,plain,
    ( c2_1(a257)
    | ~ c0_1(a257)
    | ~ spl0_5
    | ~ spl0_134 ),
    inference(resolution,[],[f216,f768]) ).

fof(f1581,definition,
    ( spl0_160
  <=> c2_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1582,plain,
    ( c2_1(a274)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1581]) ).

fof(f1585,definition,
    ( spl0_161
  <=> c0_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1593,plain,
    ( c3_1(a280)
    | c0_1(a280)
    | ~ spl0_14
    | ~ spl0_139 ),
    inference(resolution,[],[f249,f788]) ).

fof(f1598,plain,
    ( c3_1(a223)
    | c0_1(a223)
    | ~ spl0_14
    | ~ spl0_117 ),
    inference(resolution,[],[f249,f700]) ).

fof(f1609,definition,
    ( spl0_162
  <=> c2_1(a231) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1622,plain,
    ( c0_1(a231)
    | ~ c2_1(a231)
    | ~ spl0_32
    | ~ spl0_121 ),
    inference(resolution,[],[f316,f716]) ).

fof(f1623,plain,
    ( c0_1(a223)
    | ~ c2_1(a223)
    | ~ spl0_32
    | ~ spl0_117 ),
    inference(resolution,[],[f316,f700]) ).

fof(f1626,plain,
    ( c0_1(a223)
    | ~ spl0_32
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f1623,f696]) ).

fof(f1630,plain,
    ( c0_1(a280)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1585]) ).

fof(f1640,plain,
    ( ~ c2_1(a274)
    | c0_1(a274)
    | ~ spl0_42
    | spl0_102 ),
    inference(resolution,[],[f356,f640]) ).

fof(f1649,plain,
    ( ~ c2_1(a214)
    | c0_1(a214)
    | ~ spl0_42
    | spl0_65 ),
    inference(resolution,[],[f356,f470]) ).

fof(f1650,plain,
    ( ~ c2_1(a213)
    | c0_1(a213)
    | ~ spl0_42
    | spl0_63 ),
    inference(resolution,[],[f356,f461]) ).

fof(f1651,plain,
    ( ~ c2_1(a255)
    | c0_1(a255)
    | ~ spl0_42
    | spl0_94 ),
    inference(resolution,[],[f356,f604]) ).

fof(f1653,plain,
    ( ~ c2_1(a255)
    | ~ spl0_42
    | spl0_94
    | spl0_96 ),
    inference(forward_subsumption_resolution,[],[f1651,f612]) ).

fof(f1655,plain,
    ( c0_1(a214)
    | ~ spl0_42
    | spl0_65
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f1649,f668]) ).

fof(f1662,plain,
    ( ~ spl0_158
    | ~ spl0_42
    | spl0_94
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1653,f611,f603,f355,f1367]) ).

fof(f1663,plain,
    ( $false
    | ~ spl0_42
    | spl0_65
    | spl0_66
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f1655,f474]) ).

fof(f1664,plain,
    ( ~ spl0_42
    | spl0_65
    | spl0_66
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f1663]) ).

fof(f1670,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f328,f1015]) ).

fof(f1683,plain,
    ( ~ c0_1(a226)
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_35
    | spl0_79 ),
    inference(resolution,[],[f1670,f534]) ).

fof(f1684,plain,
    ( ~ c0_1(a216)
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_35
    | spl0_69 ),
    inference(resolution,[],[f1670,f488]) ).

fof(f1688,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_35
    | spl0_69
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f1684,f680]) ).

fof(f1689,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | ~ spl0_35
    | spl0_69
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f1688]) ).

fof(f1690,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_35
    | spl0_79
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f1683,f708]) ).

fof(f1691,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | ~ spl0_35
    | spl0_79
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f1690]) ).

fof(f1701,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f249,f1445]) ).

fof(f1765,plain,
    ( spl0_160
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1303,f783,f252,f244,f226,f1581]) ).

fof(f1769,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_32
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f371,f316]) ).

fof(f1770,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_30
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f378,f1445]) ).

fof(f1795,plain,
    ( ! [X1] : c0_1(X1)
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_30
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f1770,f1701]) ).

fof(f1797,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_30
    | ~ spl0_47
    | spl0_68 ),
    inference(resolution,[],[f1795,f483]) ).

fof(f1804,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_30
    | ~ spl0_47
    | spl0_68 ),
    inference(avatar_contradiction_clause,[],[f1797]) ).

fof(f1806,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_11
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f238,f356]) ).

fof(f1822,plain,
    ( c0_1(a223)
    | ~ spl0_11
    | ~ spl0_42
    | ~ spl0_116 ),
    inference(resolution,[],[f1806,f696]) ).

fof(f1846,plain,
    ( ~ spl0_157
    | ~ spl0_9
    | spl0_63
    | spl0_64 ),
    inference(avatar_split_clause,[],[f972,f464,f460,f230,f1160]) ).

fof(f1853,definition,
    ( spl0_163
  <=> c3_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1854,plain,
    ( c3_1(a223)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1853]) ).

fof(f1861,definition,
    ( spl0_165
  <=> c3_1(a242) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1866,plain,
    ( spl0_76
    | ~ spl0_11
    | ~ spl0_42
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1822,f695,f355,f237,f519]) ).

fof(f1874,plain,
    ( ~ c0_1(a296)
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_151 ),
    inference(resolution,[],[f839,f1015]) ).

fof(f1896,plain,
    ( c0_1(a280)
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_139 ),
    inference(resolution,[],[f1769,f788]) ).

fof(f1899,plain,
    ( c0_1(a242)
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_128 ),
    inference(resolution,[],[f1769,f744]) ).

fof(f1905,plain,
    ( spl0_89
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1899,f743,f370,f315,f579]) ).

fof(f1906,plain,
    ( spl0_161
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1896,f787,f370,f315,f1585]) ).

fof(f1954,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f238,f1000]) ).

fof(f1965,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f386,f1000]) ).

fof(f1974,definition,
    ( spl0_166
  <=> c2_1(a234) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1975,plain,
    ( ~ c2_1(a234)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1974]) ).

fof(f1981,plain,
    ( spl0_76
    | ~ spl0_32
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1626,f699,f695,f315,f519]) ).

fof(f1983,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_151
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f1874,f848]) ).

fof(f1984,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | ~ spl0_151
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f1983]) ).

fof(f1994,plain,
    ( spl0_42
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1380,f248,f240,f355]) ).

fof(f2037,plain,
    ( c2_1(a271)
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_48
    | spl0_100 ),
    inference(resolution,[],[f1965,f631]) ).

fof(f2038,plain,
    ( c2_1(a255)
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_48
    | spl0_95 ),
    inference(resolution,[],[f1965,f608]) ).

fof(f2042,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_48
    | spl0_95
    | spl0_158 ),
    inference(forward_subsumption_resolution,[],[f2038,f1368]) ).

fof(f2043,plain,
    ( ~ spl0_13
    | ~ spl0_15
    | ~ spl0_48
    | spl0_95
    | spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2042]) ).

fof(f2044,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_48
    | spl0_99
    | spl0_100 ),
    inference(forward_subsumption_resolution,[],[f2037,f627]) ).

fof(f2045,plain,
    ( ~ spl0_13
    | ~ spl0_15
    | ~ spl0_48
    | spl0_99
    | spl0_100 ),
    inference(avatar_contradiction_clause,[],[f2044]) ).

fof(f2050,plain,
    ( ~ spl0_158
    | ~ spl0_7
    | spl0_95
    | spl0_96 ),
    inference(avatar_split_clause,[],[f910,f611,f607,f222,f1367]) ).

fof(f2065,plain,
    ( c0_1(a231)
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_120 ),
    inference(resolution,[],[f1954,f712]) ).

fof(f2066,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_15
    | spl0_81
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f2065,f543]) ).

fof(f2067,plain,
    ( ~ spl0_11
    | ~ spl0_13
    | ~ spl0_15
    | spl0_81
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f2066]) ).

fof(f2077,plain,
    ( ~ spl0_158
    | ~ spl0_12
    | spl0_94
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1328,f607,f603,f240,f1367]) ).

fof(f2111,definition,
    ( spl0_167
  <=> c3_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f2112,plain,
    ( ~ c3_1(a271)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f2111]) ).

fof(f2117,plain,
    ( ~ spl0_167
    | ~ spl0_18
    | spl0_99
    | spl0_100 ),
    inference(avatar_split_clause,[],[f993,f630,f626,f264,f2111]) ).

fof(f2159,definition,
    ( spl0_168
  <=> c2_1(a257) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f2163,plain,
    ( ~ spl0_135
    | spl0_168
    | ~ spl0_5
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1573,f767,f215,f2159,f771]) ).

fof(f2182,plain,
    ( c3_1(a280)
    | c2_1(a280)
    | ~ spl0_8
    | ~ spl0_139 ),
    inference(resolution,[],[f227,f788]) ).

fof(f2184,plain,
    ( c3_1(a242)
    | c2_1(a242)
    | ~ spl0_8
    | ~ spl0_128 ),
    inference(resolution,[],[f227,f744]) ).

fof(f2227,plain,
    ( spl0_161
    | spl0_104
    | ~ spl0_14
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1593,f787,f248,f648,f1585]) ).

fof(f2234,plain,
    ( c0_1(a213)
    | ~ spl0_42
    | spl0_63
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f1650,f664]) ).

fof(f2241,plain,
    ( $false
    | ~ spl0_42
    | spl0_63
    | ~ spl0_108
    | spl0_157 ),
    inference(forward_subsumption_resolution,[],[f2234,f1161]) ).

fof(f2242,plain,
    ( ~ spl0_42
    | spl0_63
    | ~ spl0_108
    | spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2241]) ).

fof(f2288,plain,
    ( spl0_105
    | spl0_104
    | ~ spl0_8
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2182,f787,f226,f648,f652]) ).

fof(f2290,plain,
    ( spl0_88
    | spl0_165
    | ~ spl0_8
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2184,f743,f226,f1861,f575]) ).

fof(f2329,plain,
    ( c2_1(a234)
    | ~ c0_1(a234)
    | ~ spl0_13
    | ~ spl0_142 ),
    inference(resolution,[],[f245,f800]) ).

fof(f2334,plain,
    ( c2_1(a218)
    | ~ c0_1(a218)
    | ~ spl0_13
    | ~ spl0_113 ),
    inference(resolution,[],[f245,f684]) ).

fof(f2335,plain,
    ( ~ c0_1(a218)
    | ~ spl0_13
    | spl0_73
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f2334,f506]) ).

fof(f2336,plain,
    ( c2_1(a234)
    | ~ spl0_13
    | ~ spl0_142
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f2329,f809]) ).

fof(f2337,plain,
    ( ~ spl0_156
    | ~ spl0_13
    | spl0_73
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2335,f683,f505,f244,f1047]) ).

fof(f2338,plain,
    ( spl0_166
    | ~ spl0_13
    | ~ spl0_142
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2336,f808,f799,f244,f1974]) ).

fof(f2373,definition,
    ( spl0_171
  <=> c2_1(a241) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f2390,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(resolution,[],[f234,f223]) ).

fof(f2392,plain,
    ( c3_1(a257)
    | ~ c2_1(a257)
    | ~ spl0_10
    | ~ spl0_134 ),
    inference(resolution,[],[f234,f768]) ).

fof(f2397,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f2390]) ).

fof(f2399,plain,
    ( ~ spl0_168
    | spl0_97
    | ~ spl0_10
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2392,f767,f233,f616,f2159]) ).

fof(f2400,plain,
    ( spl0_42
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f2397,f233,f222,f355]) ).

fof(f2403,definition,
    ( spl0_172
  <=> c3_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f2404,plain,
    ( ~ c3_1(a216)
    | spl0_172 ),
    inference(avatar_component_clause,[],[f2403]) ).

fof(f2407,plain,
    ( ~ spl0_114
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1059,f691,f233,f211,f687]) ).

fof(f2415,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2) )
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f227,f234]) ).

fof(f2417,plain,
    ( c3_1(a216)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f2403]) ).

fof(f2419,plain,
    ( spl0_172
    | ~ spl0_8
    | spl0_69
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f923,f675,f487,f226,f2403]) ).

fof(f2424,plain,
    ( spl0_172
    | ~ spl0_6
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f902,f679,f675,f218,f2403]) ).

fof(f2438,plain,
    ( c3_1(a257)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_134 ),
    inference(resolution,[],[f1112,f768]) ).

fof(f2447,plain,
    ( spl0_97
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2438,f767,f233,f226,f211,f616]) ).

fof(f2455,plain,
    ( ~ c2_1(a239)
    | ~ spl0_4
    | ~ spl0_30
    | ~ spl0_125 ),
    inference(resolution,[],[f1444,f732]) ).

fof(f2460,plain,
    ( ~ spl0_126
    | ~ spl0_4
    | ~ spl0_30
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2455,f731,f308,f211,f735]) ).

fof(f2483,plain,
    ( c2_1(a218)
    | ~ c0_1(a218)
    | ~ spl0_16
    | spl0_74 ),
    inference(resolution,[],[f258,f510]) ).

fof(f2487,plain,
    ( c2_1(a217)
    | ~ c0_1(a217)
    | ~ spl0_16
    | spl0_72 ),
    inference(resolution,[],[f258,f501]) ).

fof(f2499,plain,
    ( ~ c3_1(a241)
    | c0_1(a241)
    | ~ spl0_21
    | spl0_86 ),
    inference(resolution,[],[f276,f567]) ).

fof(f2502,plain,
    ( ~ c3_1(a218)
    | c0_1(a218)
    | ~ spl0_21
    | spl0_74 ),
    inference(resolution,[],[f276,f510]) ).

fof(f2503,plain,
    ( ~ c3_1(a215)
    | c0_1(a215)
    | ~ spl0_21
    | spl0_67 ),
    inference(resolution,[],[f276,f479]) ).

fof(f2504,plain,
    ( ~ c3_1(a271)
    | c0_1(a271)
    | ~ spl0_21
    | spl0_100 ),
    inference(resolution,[],[f276,f631]) ).

fof(f2508,plain,
    ( c0_1(a218)
    | ~ spl0_21
    | spl0_74
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f2502,f684]) ).

fof(f2510,definition,
    ( spl0_173
  <=> c3_1(a226) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f2521,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_4
    | ~ spl0_18
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f265,f1444]) ).

fof(f2534,definition,
    ( spl0_174
  <=> c3_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f2546,plain,
    ( c0_1(a215)
    | ~ spl0_11
    | ~ spl0_42
    | ~ spl0_110 ),
    inference(resolution,[],[f1806,f672]) ).

fof(f2548,plain,
    ( spl0_68
    | ~ spl0_11
    | ~ spl0_42
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2546,f671,f355,f237,f482]) ).

fof(f2579,plain,
    ( spl0_68
    | ~ spl0_7
    | spl0_67
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f911,f671,f478,f222,f482]) ).

fof(f2581,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f273,f1806]) ).

fof(f2591,plain,
    ( c0_1(a255)
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_42
    | spl0_94 ),
    inference(resolution,[],[f2581,f604]) ).

fof(f2595,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_42
    | spl0_94
    | spl0_96 ),
    inference(forward_subsumption_resolution,[],[f2591,f612]) ).

fof(f2596,plain,
    ( ~ spl0_11
    | ~ spl0_20
    | ~ spl0_42
    | spl0_94
    | spl0_96 ),
    inference(avatar_contradiction_clause,[],[f2595]) ).

fof(f2603,plain,
    ( ~ c2_1(a215)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_30
    | spl0_67 ),
    inference(forward_subsumption_resolution,[],[f1322,f1444]) ).

fof(f2608,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f284,f2521]) ).

fof(f2609,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_30
    | spl0_67
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f2603,f672]) ).

fof(f2610,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_30
    | spl0_67
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f2609]) ).

fof(f2620,plain,
    ( spl0_11
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f909,f222,f211,f237]) ).

fof(f2622,plain,
    ( ~ c2_1(a223)
    | ~ spl0_4
    | ~ spl0_117
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f1239,f1854]) ).

fof(f2623,plain,
    ( ~ c2_1(a234)
    | ~ spl0_4
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f1180,f800]) ).

fof(f2624,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_116
    | ~ spl0_117
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f2622,f696]) ).

fof(f2625,plain,
    ( ~ spl0_4
    | ~ spl0_116
    | ~ spl0_117
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f2624]) ).

fof(f2626,plain,
    ( ~ spl0_166
    | ~ spl0_4
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2623,f804,f799,f211,f1974]) ).

fof(f2646,plain,
    ( c3_1(a220)
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_115 ),
    inference(resolution,[],[f2415,f692]) ).

fof(f2647,plain,
    ( spl0_75
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2646,f691,f233,f226,f514]) ).

fof(f2653,plain,
    ( ~ c2_1(a241)
    | c0_1(a241)
    | ~ spl0_7
    | spl0_86 ),
    inference(resolution,[],[f223,f567]) ).

fof(f2659,plain,
    ( spl0_87
    | ~ spl0_171
    | ~ spl0_7
    | spl0_86 ),
    inference(avatar_split_clause,[],[f2653,f566,f222,f2373,f570]) ).

fof(f2663,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f241,f2415]) ).

fof(f2667,plain,
    ( ~ c2_1(a237)
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | spl0_84 ),
    inference(resolution,[],[f2663,f557]) ).

fof(f2676,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | spl0_84
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f2667,f724]) ).

fof(f2677,plain,
    ( ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | spl0_84
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f2676]) ).

fof(f2681,plain,
    ( spl0_155
    | ~ spl0_15
    | spl0_92
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f981,f751,f593,f252,f1032]) ).

fof(f2682,plain,
    ( spl0_87
    | ~ spl0_127
    | ~ spl0_21
    | spl0_86 ),
    inference(avatar_split_clause,[],[f2499,f566,f275,f739,f570]) ).

fof(f2689,plain,
    ( ~ c2_1(a239)
    | c0_1(a239)
    | ~ spl0_7
    | spl0_85 ),
    inference(resolution,[],[f562,f223]) ).

fof(f2738,plain,
    ( ~ c0_1(a234)
    | ~ c2_1(a234)
    | ~ spl0_2
    | ~ spl0_142 ),
    inference(resolution,[],[f206,f800]) ).

fof(f2744,plain,
    ( ~ c0_1(a239)
    | ~ c2_1(a239)
    | ~ spl0_2
    | ~ spl0_125 ),
    inference(resolution,[],[f206,f732]) ).

fof(f2752,plain,
    ( ~ c2_1(a234)
    | ~ spl0_2
    | ~ spl0_142
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f2738,f809]) ).

fof(f2756,plain,
    ( ~ spl0_166
    | ~ spl0_2
    | ~ spl0_142
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2752,f808,f799,f205,f1974]) ).

fof(f2769,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f238,f206]) ).

fof(f2774,plain,
    ( ~ c0_1(a218)
    | ~ spl0_16
    | spl0_73
    | spl0_74 ),
    inference(forward_subsumption_resolution,[],[f2483,f506]) ).

fof(f2780,plain,
    ( ~ spl0_126
    | ~ spl0_154
    | ~ spl0_2
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2744,f731,f205,f946,f735]) ).

fof(f2782,plain,
    ( ~ spl0_156
    | ~ spl0_16
    | spl0_73
    | spl0_74 ),
    inference(avatar_split_clause,[],[f2774,f509,f505,f257,f1047]) ).

fof(f2802,plain,
    ( ~ c2_1(a320)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_140 ),
    inference(resolution,[],[f2769,f792]) ).

fof(f2807,plain,
    ( ~ c2_1(a241)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_127 ),
    inference(resolution,[],[f2769,f740]) ).

fof(f2808,plain,
    ( ~ c2_1(a239)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_125 ),
    inference(resolution,[],[f2769,f732]) ).

fof(f2818,plain,
    ( ~ spl0_171
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2807,f739,f237,f205,f2373]) ).

fof(f2826,plain,
    ( ~ spl0_126
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2808,f731,f237,f205,f735]) ).

fof(f2828,plain,
    ( c3_1(a252)
    | ~ c0_1(a252)
    | ~ spl0_9
    | spl0_93 ),
    inference(resolution,[],[f231,f599]) ).

fof(f2829,plain,
    ( c3_1(a245)
    | ~ c0_1(a245)
    | ~ spl0_9
    | spl0_91 ),
    inference(resolution,[],[f231,f589]) ).

fof(f2831,plain,
    ( c3_1(a226)
    | ~ c0_1(a226)
    | ~ spl0_9
    | spl0_80 ),
    inference(resolution,[],[f231,f538]) ).

fof(f2841,plain,
    ( c3_1(a252)
    | ~ spl0_9
    | spl0_93
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f2828,f764]) ).

fof(f2877,plain,
    ( c2_1(a241)
    | ~ c3_1(a241)
    | ~ spl0_18
    | spl0_86 ),
    inference(resolution,[],[f265,f567]) ).

fof(f2879,plain,
    ( c2_1(a226)
    | ~ c3_1(a226)
    | ~ spl0_18
    | spl0_80 ),
    inference(resolution,[],[f265,f538]) ).

fof(f2880,plain,
    ( c2_1(a218)
    | ~ c3_1(a218)
    | ~ spl0_18
    | spl0_74 ),
    inference(resolution,[],[f265,f510]) ).

fof(f2885,plain,
    ( ~ c3_1(a218)
    | ~ spl0_18
    | spl0_73
    | spl0_74 ),
    inference(forward_subsumption_resolution,[],[f2880,f506]) ).

fof(f2887,plain,
    ( c2_1(a241)
    | ~ spl0_18
    | spl0_86
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f2877,f740]) ).

fof(f2888,plain,
    ( $false
    | ~ spl0_18
    | spl0_73
    | spl0_74
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f2885,f684]) ).

fof(f2889,plain,
    ( ~ spl0_18
    | spl0_73
    | spl0_74
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f2888]) ).

fof(f2891,plain,
    ( spl0_171
    | ~ spl0_18
    | spl0_86
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2887,f739,f566,f264,f2373]) ).

fof(f2900,plain,
    ( c0_1(a271)
    | c2_1(a271)
    | ~ spl0_20
    | spl0_167 ),
    inference(resolution,[],[f273,f2112]) ).

fof(f2901,plain,
    ( c0_1(a255)
    | c2_1(a255)
    | ~ spl0_20
    | spl0_94 ),
    inference(resolution,[],[f273,f604]) ).

fof(f2902,plain,
    ( c0_1(a217)
    | c2_1(a217)
    | ~ spl0_20
    | spl0_70 ),
    inference(resolution,[],[f273,f493]) ).

fof(f2904,plain,
    ( c2_1(a255)
    | ~ spl0_20
    | spl0_94
    | spl0_96 ),
    inference(forward_subsumption_resolution,[],[f2901,f612]) ).

fof(f2905,plain,
    ( c2_1(a271)
    | ~ spl0_20
    | spl0_101
    | spl0_167 ),
    inference(forward_subsumption_resolution,[],[f2900,f635]) ).

fof(f2908,plain,
    ( $false
    | ~ spl0_20
    | spl0_94
    | spl0_96
    | spl0_158 ),
    inference(forward_subsumption_resolution,[],[f2904,f1368]) ).

fof(f2909,plain,
    ( ~ spl0_20
    | spl0_94
    | spl0_96
    | spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2908]) ).

fof(f2910,plain,
    ( $false
    | ~ spl0_20
    | spl0_99
    | spl0_101
    | spl0_167 ),
    inference(forward_subsumption_resolution,[],[f2905,f627]) ).

fof(f2911,plain,
    ( ~ spl0_20
    | spl0_99
    | spl0_101
    | spl0_167 ),
    inference(avatar_contradiction_clause,[],[f2910]) ).

fof(f2912,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f219,f231]) ).

fof(f2956,plain,
    ( ~ c0_1(a237)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_84 ),
    inference(resolution,[],[f2912,f557]) ).

fof(f2966,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | spl0_84
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f2956,f728]) ).

fof(f2967,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | spl0_84
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f2966]) ).

fof(f2984,plain,
    ( c2_1(a241)
    | c0_1(a241)
    | ~ spl0_15
    | ~ spl0_127 ),
    inference(resolution,[],[f253,f740]) ).

fof(f2987,plain,
    ( c2_1(a225)
    | c0_1(a225)
    | ~ spl0_15
    | ~ spl0_118 ),
    inference(resolution,[],[f253,f704]) ).

fof(f2989,plain,
    ( c2_1(a218)
    | c0_1(a218)
    | ~ spl0_15
    | ~ spl0_113 ),
    inference(resolution,[],[f253,f684]) ).

fof(f2990,plain,
    ( c0_1(a218)
    | ~ spl0_15
    | spl0_73
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f2989,f506]) ).

fof(f2992,plain,
    ( c0_1(a225)
    | ~ spl0_15
    | spl0_77
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f2987,f525]) ).

fof(f3001,plain,
    ( $false
    | ~ spl0_15
    | spl0_77
    | spl0_78
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f2992,f529]) ).

fof(f3002,plain,
    ( ~ spl0_15
    | spl0_77
    | spl0_78
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f3001]) ).

fof(f3029,plain,
    ( c2_1(a231)
    | c0_1(a231)
    | ~ spl0_15
    | ~ spl0_120 ),
    inference(resolution,[],[f712,f253]) ).

fof(f3084,plain,
    ( c2_1(a234)
    | ~ c3_1(a234)
    | ~ spl0_17
    | ~ spl0_143 ),
    inference(resolution,[],[f261,f805]) ).

fof(f3086,plain,
    ( c2_1(a248)
    | ~ c3_1(a248)
    | ~ spl0_17
    | ~ spl0_131 ),
    inference(resolution,[],[f261,f756]) ).

fof(f3090,plain,
    ( c2_1(a216)
    | ~ c3_1(a216)
    | ~ spl0_17
    | ~ spl0_111 ),
    inference(resolution,[],[f261,f676]) ).

fof(f3091,plain,
    ( ~ c3_1(a216)
    | ~ spl0_17
    | spl0_69
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f3090,f488]) ).

fof(f3095,plain,
    ( ~ c3_1(a248)
    | ~ spl0_17
    | spl0_92
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f3086,f594]) ).

fof(f3097,plain,
    ( ~ c3_1(a234)
    | ~ spl0_17
    | ~ spl0_143
    | spl0_166 ),
    inference(forward_subsumption_resolution,[],[f3084,f1975]) ).

fof(f3099,plain,
    ( ~ spl0_172
    | ~ spl0_17
    | spl0_69
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3091,f675,f487,f260,f2403]) ).

fof(f3106,plain,
    ( $false
    | ~ spl0_17
    | spl0_92
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f3095,f752]) ).

fof(f3107,plain,
    ( ~ spl0_17
    | spl0_92
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f3106]) ).

fof(f3110,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_142
    | ~ spl0_143
    | spl0_166 ),
    inference(forward_subsumption_resolution,[],[f3097,f800]) ).

fof(f3111,plain,
    ( ~ spl0_17
    | ~ spl0_142
    | ~ spl0_143
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f3110]) ).

fof(f3113,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f241,f234]) ).

fof(f3122,plain,
    ( ~ c2_1(a214)
    | ~ spl0_10
    | ~ spl0_12
    | spl0_65 ),
    inference(resolution,[],[f3113,f470]) ).

fof(f3127,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_12
    | spl0_65
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f3122,f668]) ).

fof(f3128,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | spl0_65
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f3127]) ).

fof(f3136,plain,
    ( ~ spl0_146
    | ~ spl0_145
    | ~ spl0_4
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1430,f821,f211,f812,f817]) ).

fof(f3161,plain,
    ( spl0_68
    | ~ spl0_174
    | ~ spl0_21
    | spl0_67 ),
    inference(avatar_split_clause,[],[f2503,f478,f275,f2534,f482]) ).

fof(f3162,plain,
    ( ~ c3_1(a271)
    | ~ spl0_21
    | spl0_100
    | spl0_101 ),
    inference(forward_subsumption_resolution,[],[f2504,f635]) ).

fof(f3176,plain,
    ( spl0_87
    | spl0_171
    | ~ spl0_15
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2984,f739,f252,f2373,f570]) ).

fof(f3177,plain,
    ( c3_1(a215)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f2534]) ).

fof(f3182,plain,
    ( ~ spl0_167
    | ~ spl0_21
    | spl0_100
    | spl0_101 ),
    inference(avatar_split_clause,[],[f3162,f634,f630,f275,f2111]) ).

fof(f3210,plain,
    ( c3_1(a242)
    | c0_1(a242)
    | ~ spl0_14
    | ~ spl0_128 ),
    inference(resolution,[],[f249,f744]) ).

fof(f3253,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_11
    | ~ spl0_26
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f294,f1806]) ).

fof(f3254,plain,
    ( ! [X0] : ~ c2_1(X0)
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_26
    | ~ spl0_30
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f3253,f1444]) ).

fof(f3257,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_26
    | ~ spl0_30
    | ~ spl0_42
    | ~ spl0_132 ),
    inference(resolution,[],[f3254,f760]) ).

fof(f3268,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_26
    | ~ spl0_30
    | ~ spl0_42
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f3257]) ).

fof(f3276,plain,
    ( ~ c0_1(a280)
    | c2_1(a280)
    | ~ spl0_35
    | spl0_104 ),
    inference(resolution,[],[f328,f649]) ).

fof(f3280,plain,
    ( ~ c0_1(a236)
    | c2_1(a236)
    | ~ spl0_35
    | spl0_82 ),
    inference(resolution,[],[f328,f548]) ).

fof(f3282,plain,
    ( ~ c0_1(a216)
    | c2_1(a216)
    | ~ spl0_35
    | spl0_172 ),
    inference(resolution,[],[f328,f2404]) ).

fof(f3290,plain,
    ( c2_1(a216)
    | ~ spl0_35
    | ~ spl0_112
    | spl0_172 ),
    inference(forward_subsumption_resolution,[],[f3282,f680]) ).

fof(f3291,plain,
    ( c2_1(a236)
    | ~ spl0_35
    | spl0_82
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f3280,f720]) ).

fof(f3293,plain,
    ( $false
    | ~ spl0_35
    | spl0_69
    | ~ spl0_112
    | spl0_172 ),
    inference(forward_subsumption_resolution,[],[f3290,f488]) ).

fof(f3294,plain,
    ( ~ spl0_35
    | spl0_69
    | ~ spl0_112
    | spl0_172 ),
    inference(avatar_contradiction_clause,[],[f3293]) ).

fof(f3295,plain,
    ( $false
    | ~ spl0_35
    | spl0_82
    | spl0_83
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f3291,f552]) ).

fof(f3296,plain,
    ( ~ spl0_35
    | spl0_82
    | spl0_83
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f3295]) ).

fof(f3304,plain,
    ( ~ c2_1(a252)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_30
    | spl0_93
    | ~ spl0_133 ),
    inference(resolution,[],[f2841,f1444]) ).

fof(f3306,plain,
    ( ~ c0_1(a252)
    | ~ c2_1(a252)
    | ~ spl0_2
    | ~ spl0_9
    | spl0_93
    | ~ spl0_133 ),
    inference(resolution,[],[f2841,f206]) ).

fof(f3307,plain,
    ( ~ c2_1(a252)
    | ~ spl0_2
    | ~ spl0_9
    | spl0_93
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f3306,f764]) ).

fof(f3308,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_30
    | spl0_93
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f3304,f760]) ).

fof(f3309,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_30
    | spl0_93
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f3308]) ).

fof(f3310,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | spl0_93
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f3307,f760]) ).

fof(f3311,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | spl0_93
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f3310]) ).

fof(f3313,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_9
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f291,f231]) ).

fof(f3321,plain,
    ( ~ c0_1(a226)
    | ~ spl0_9
    | ~ spl0_25
    | spl0_80 ),
    inference(resolution,[],[f3313,f538]) ).

fof(f3341,plain,
    ( ! [X0] : ~ c2_1(X0)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_26
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f3253,f2769]) ).

fof(f3344,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_26
    | ~ spl0_42
    | ~ spl0_123 ),
    inference(resolution,[],[f3341,f724]) ).

fof(f3347,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_26
    | ~ spl0_42
    | ~ spl0_114 ),
    inference(resolution,[],[f3341,f688]) ).

fof(f3352,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_26
    | ~ spl0_42
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f3347]) ).

fof(f3355,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_26
    | ~ spl0_42
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f3344]) ).

fof(f3359,plain,
    ( ~ spl0_119
    | ~ spl0_9
    | ~ spl0_25
    | spl0_80 ),
    inference(avatar_split_clause,[],[f3321,f537,f290,f230,f707]) ).

fof(f3361,plain,
    ( c2_1(a280)
    | ~ spl0_35
    | spl0_104
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f3276,f1630]) ).

fof(f3366,plain,
    ( $false
    | ~ spl0_35
    | spl0_104
    | spl0_105
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f3361,f653]) ).

fof(f3367,plain,
    ( ~ spl0_35
    | spl0_104
    | spl0_105
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3366]) ).

fof(f3391,plain,
    ( ~ c2_1(a215)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_174 ),
    inference(resolution,[],[f3177,f2769]) ).

fof(f3395,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_110
    | ~ spl0_174 ),
    inference(forward_subsumption_resolution,[],[f3391,f672]) ).

fof(f3396,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_110
    | ~ spl0_174 ),
    inference(avatar_contradiction_clause,[],[f3395]) ).

fof(f3399,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_9
    | ~ spl0_23
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f284,f3313]) ).

fof(f3401,plain,
    ( ~ c0_1(a234)
    | ~ spl0_9
    | ~ spl0_23
    | ~ spl0_25
    | ~ spl0_142 ),
    inference(resolution,[],[f3399,f800]) ).

fof(f3404,plain,
    ( ~ c0_1(a248)
    | ~ spl0_9
    | ~ spl0_23
    | ~ spl0_25
    | ~ spl0_130 ),
    inference(resolution,[],[f3399,f752]) ).

fof(f3409,plain,
    ( ~ c0_1(a216)
    | ~ spl0_9
    | ~ spl0_23
    | ~ spl0_25
    | ~ spl0_172 ),
    inference(resolution,[],[f3399,f2417]) ).

fof(f3410,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_23
    | ~ spl0_25
    | ~ spl0_112
    | ~ spl0_172 ),
    inference(forward_subsumption_resolution,[],[f3409,f680]) ).

fof(f3411,plain,
    ( ~ spl0_9
    | ~ spl0_23
    | ~ spl0_25
    | ~ spl0_112
    | ~ spl0_172 ),
    inference(avatar_contradiction_clause,[],[f3410]) ).

fof(f3420,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_23
    | ~ spl0_25
    | ~ spl0_130
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f3404,f1033]) ).

fof(f3421,plain,
    ( ~ spl0_9
    | ~ spl0_23
    | ~ spl0_25
    | ~ spl0_130
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3420]) ).

fof(f3426,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_23
    | ~ spl0_25
    | ~ spl0_142
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f3401,f809]) ).

fof(f3427,plain,
    ( ~ spl0_9
    | ~ spl0_23
    | ~ spl0_25
    | ~ spl0_142
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f3426]) ).

fof(f3430,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f294,f206]) ).

fof(f3438,plain,
    ( ~ c0_1(a282)
    | ~ spl0_2
    | ~ spl0_26
    | ~ spl0_148 ),
    inference(resolution,[],[f3430,f826]) ).

fof(f3440,plain,
    ( ~ c0_1(a252)
    | ~ spl0_2
    | ~ spl0_26
    | ~ spl0_132 ),
    inference(resolution,[],[f3430,f760]) ).

fof(f3441,plain,
    ( ~ c0_1(a237)
    | ~ spl0_2
    | ~ spl0_26
    | ~ spl0_123 ),
    inference(resolution,[],[f3430,f724]) ).

fof(f3455,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_26
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f3441,f728]) ).

fof(f3456,plain,
    ( ~ spl0_2
    | ~ spl0_26
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f3455]) ).

fof(f3457,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_26
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f3440,f764]) ).

fof(f3458,plain,
    ( ~ spl0_2
    | ~ spl0_26
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f3457]) ).

fof(f3461,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_26
    | ~ spl0_148
    | ~ spl0_150 ),
    inference(forward_subsumption_resolution,[],[f3438,f835]) ).

fof(f3462,plain,
    ( ~ spl0_2
    | ~ spl0_26
    | ~ spl0_148
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f3461]) ).

fof(f3487,plain,
    ( ~ spl0_126
    | ~ spl0_154
    | ~ spl0_27
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1405,f561,f297,f946,f735]) ).

fof(f3527,plain,
    ( spl0_174
    | ~ spl0_12
    | spl0_67
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1330,f671,f478,f240,f2534]) ).

fof(f3535,plain,
    ( ~ c3_1(a231)
    | ~ c2_1(a231)
    | ~ spl0_4
    | ~ spl0_121 ),
    inference(resolution,[],[f212,f716]) ).

fof(f3543,plain,
    ( c3_1(a257)
    | ~ c0_1(a257)
    | ~ spl0_6
    | ~ spl0_134 ),
    inference(resolution,[],[f219,f768]) ).

fof(f3551,plain,
    ( ~ c0_1(a257)
    | ~ spl0_6
    | spl0_97
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f3543,f617]) ).

fof(f3557,plain,
    ( $false
    | ~ spl0_6
    | spl0_97
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f3551,f772]) ).

fof(f3558,plain,
    ( ~ spl0_6
    | spl0_97
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f3557]) ).

fof(f3562,plain,
    ( c0_1(a217)
    | ~ spl0_20
    | spl0_70
    | spl0_71 ),
    inference(forward_subsumption_resolution,[],[f2902,f497]) ).

fof(f3567,plain,
    ( ~ c0_1(a217)
    | ~ spl0_16
    | spl0_71
    | spl0_72 ),
    inference(forward_subsumption_resolution,[],[f2487,f497]) ).

fof(f3570,plain,
    ( spl0_159
    | ~ spl0_20
    | spl0_70
    | spl0_71 ),
    inference(avatar_split_clause,[],[f3562,f496,f492,f272,f1411]) ).

fof(f3572,plain,
    ( ~ spl0_159
    | ~ spl0_16
    | spl0_71
    | spl0_72 ),
    inference(avatar_split_clause,[],[f3567,f500,f496,f257,f1411]) ).

fof(f3607,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(resolution,[],[f258,f227]) ).

fof(f3608,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(resolution,[],[f258,f219]) ).

fof(f3612,plain,
    ( c2_1(a226)
    | ~ c0_1(a226)
    | ~ spl0_16
    | spl0_80 ),
    inference(resolution,[],[f258,f538]) ).

fof(f3617,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f3608]) ).

fof(f3618,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f3607]) ).

fof(f3620,plain,
    ( spl0_35
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f3617,f257,f218,f327]) ).

fof(f3621,plain,
    ( spl0_35
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f3618,f257,f226,f327]) ).

fof(f3639,plain,
    ( ~ c0_1(a218)
    | ~ c3_1(a218)
    | ~ spl0_25
    | spl0_74 ),
    inference(resolution,[],[f291,f510]) ).

fof(f3676,plain,
    ( c0_1(a242)
    | ~ c3_1(a242)
    | ~ spl0_28
    | ~ spl0_128 ),
    inference(resolution,[],[f302,f744]) ).

fof(f3677,plain,
    ( c0_1(a231)
    | ~ c3_1(a231)
    | ~ spl0_28
    | ~ spl0_121 ),
    inference(resolution,[],[f302,f716]) ).

fof(f3683,plain,
    ( ~ c3_1(a231)
    | ~ spl0_28
    | spl0_81
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f3677,f543]) ).

fof(f3686,plain,
    ( ~ spl0_120
    | ~ spl0_28
    | spl0_81
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f3683,f715,f542,f301,f711]) ).

fof(f3694,plain,
    ( ~ spl0_162
    | ~ spl0_120
    | ~ spl0_4
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f3535,f715,f211,f711,f1609]) ).

fof(f3697,plain,
    ( ~ c0_1(a252)
    | ~ c3_1(a252)
    | ~ spl0_25
    | spl0_93 ),
    inference(resolution,[],[f599,f291]) ).

fof(f3698,plain,
    ( c3_1(a252)
    | ~ c2_1(a252)
    | ~ spl0_12
    | spl0_93 ),
    inference(resolution,[],[f599,f241]) ).

fof(f3719,plain,
    ( ~ c0_1(a252)
    | ~ c2_1(a252)
    | ~ spl0_2
    | ~ spl0_12
    | spl0_93
    | ~ spl0_132 ),
    inference(resolution,[],[f1334,f206]) ).

fof(f3720,plain,
    ( ~ c2_1(a252)
    | ~ spl0_2
    | ~ spl0_12
    | spl0_93
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f3719,f764]) ).

fof(f3721,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_12
    | spl0_93
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f3720,f760]) ).

fof(f3722,plain,
    ( ~ spl0_2
    | ~ spl0_12
    | spl0_93
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f3721]) ).

fof(f3729,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f2802,f796]) ).

fof(f3730,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f3729]) ).

fof(f3736,plain,
    ( ~ spl0_119
    | spl0_79
    | ~ spl0_16
    | spl0_80 ),
    inference(avatar_split_clause,[],[f3612,f537,f257,f533,f707]) ).

fof(f3748,plain,
    ( ~ spl0_162
    | spl0_81
    | ~ spl0_32
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1622,f715,f315,f542,f1609]) ).

fof(f3760,definition,
    ( spl0_176
  <=> c3_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f3763,plain,
    ( ~ spl0_132
    | spl0_176
    | ~ spl0_12
    | spl0_93 ),
    inference(avatar_split_clause,[],[f3698,f598,f240,f3760,f759]) ).

fof(f3778,plain,
    ( spl0_81
    | spl0_162
    | ~ spl0_15
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f3029,f711,f252,f1609,f542]) ).

fof(f3786,plain,
    ( ~ spl0_173
    | spl0_79
    | ~ spl0_18
    | spl0_80 ),
    inference(avatar_split_clause,[],[f2879,f537,f264,f533,f2510]) ).

fof(f3799,plain,
    ( c0_1(a274)
    | ~ spl0_42
    | spl0_102
    | ~ spl0_160 ),
    inference(forward_subsumption_resolution,[],[f1640,f1582]) ).

fof(f3816,plain,
    ( ~ spl0_176
    | ~ spl0_133
    | ~ spl0_25
    | spl0_93 ),
    inference(avatar_split_clause,[],[f3697,f598,f290,f763,f3760]) ).

fof(f3819,plain,
    ( ~ spl0_132
    | ~ spl0_133
    | ~ spl0_27
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1403,f598,f297,f763,f759]) ).

fof(f3821,plain,
    ( ~ spl0_165
    | spl0_89
    | ~ spl0_28
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f3676,f743,f301,f579,f1861]) ).

fof(f3825,plain,
    ( spl0_103
    | ~ spl0_42
    | spl0_102
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f3799,f1581,f639,f355,f643]) ).

fof(f3833,plain,
    ( spl0_156
    | ~ spl0_15
    | spl0_73
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2990,f683,f505,f252,f1047]) ).

fof(f3901,plain,
    ( ~ c0_1(a248)
    | ~ spl0_4
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_130 ),
    inference(resolution,[],[f2608,f752]) ).

fof(f3913,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_130
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f3901,f1033]) ).

fof(f3914,plain,
    ( ~ spl0_4
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_130
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3913]) ).

fof(f3922,plain,
    ( spl0_156
    | ~ spl0_21
    | spl0_74
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2508,f683,f509,f275,f1047]) ).

fof(f3923,plain,
    ( ~ c0_1(a218)
    | ~ spl0_25
    | spl0_74
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f3639,f684]) ).

fof(f3924,plain,
    ( ~ spl0_156
    | ~ spl0_25
    | spl0_74
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f3923,f683,f509,f290,f1047]) ).

fof(f3943,plain,
    ( c3_1(a245)
    | ~ spl0_9
    | spl0_91
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f2829,f748]) ).

fof(f3944,plain,
    ( ~ spl0_119
    | spl0_173
    | ~ spl0_9
    | spl0_80 ),
    inference(avatar_split_clause,[],[f2831,f537,f230,f2510,f707]) ).

fof(f3951,plain,
    ( spl0_76
    | spl0_163
    | ~ spl0_14
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1598,f699,f248,f1853,f519]) ).

fof(f3959,plain,
    ( spl0_89
    | spl0_165
    | ~ spl0_14
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f3210,f743,f248,f1861,f579]) ).

fof(f3974,plain,
    ( spl0_154
    | ~ spl0_126
    | ~ spl0_7
    | spl0_85 ),
    inference(avatar_split_clause,[],[f2689,f561,f222,f735,f946]) ).

fof(f3976,plain,
    ( spl0_90
    | ~ spl0_9
    | spl0_91
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f3943,f747,f588,f230,f584]) ).

fof(f4028,plain,
    ( c0_1(a239)
    | ~ c2_1(a239)
    | ~ spl0_11
    | ~ spl0_125 ),
    inference(resolution,[],[f238,f732]) ).

fof(f4031,plain,
    ( c0_1(a223)
    | ~ c2_1(a223)
    | ~ spl0_11
    | ~ spl0_163 ),
    inference(resolution,[],[f238,f1854]) ).

fof(f4034,plain,
    ( ~ c2_1(a223)
    | ~ spl0_11
    | spl0_76
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f4031,f520]) ).

fof(f4035,plain,
    ( c0_1(a239)
    | ~ spl0_11
    | ~ spl0_125
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f4028,f736]) ).

fof(f4037,plain,
    ( $false
    | ~ spl0_11
    | spl0_76
    | ~ spl0_116
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f4034,f696]) ).

fof(f4038,plain,
    ( ~ spl0_11
    | spl0_76
    | ~ spl0_116
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f4037]) ).

fof(f4039,plain,
    ( spl0_154
    | ~ spl0_11
    | ~ spl0_125
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f4035,f735,f731,f237,f946]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f220]) ).

cnf(s3,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_7 ),
    inference(sat_conversion,[],[f224]) ).

cnf(s4,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_6
    | spl0_8 ),
    inference(sat_conversion,[],[f228]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f235]) ).

cnf(s6,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f242]) ).

cnf(s7,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_7
    | spl0_13 ),
    inference(sat_conversion,[],[f246]) ).

cnf(s8,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_9
    | spl0_14 ),
    inference(sat_conversion,[],[f250]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_7
    | spl0_15 ),
    inference(sat_conversion,[],[f254]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f255]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_7
    | spl0_18 ),
    inference(sat_conversion,[],[f266]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f277]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f285]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f295]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_19
    | spl0_27 ),
    inference(sat_conversion,[],[f299]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_24
    | spl0_28 ),
    inference(sat_conversion,[],[f303]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_28
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f310]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f317]) ).

cnf(s22,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_21
    | spl0_33 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_23
    | spl0_34 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f329]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_30
    | spl0_36 ),
    inference(sat_conversion,[],[f333]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_11
    | spl0_37 ),
    inference(sat_conversion,[],[f337]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_28
    | spl0_36 ),
    inference(sat_conversion,[],[f338]) ).

cnf(s30,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_32
    | spl0_40 ),
    inference(sat_conversion,[],[f350]) ).

cnf(s31,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_38
    | spl0_42 ),
    inference(sat_conversion,[],[f358]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_14
    | spl0_43 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_27
    | spl0_44 ),
    inference(sat_conversion,[],[f366]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_15
    | spl0_34 ),
    inference(sat_conversion,[],[f367]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_15
    | spl0_39 ),
    inference(sat_conversion,[],[f368]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_18
    | spl0_34 ),
    inference(sat_conversion,[],[f380]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_16
    | spl0_36 ),
    inference(sat_conversion,[],[f381]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_31
    | spl0_45 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s42,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_20
    | spl0_29 ),
    inference(sat_conversion,[],[f383]) ).

cnf(s43,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_31
    | spl0_48 ),
    inference(sat_conversion,[],[f387]) ).

cnf(s44,plain,
    ( ~ spl0_3
    | spl0_35
    | spl0_36
    | spl0_47 ),
    inference(sat_conversion,[],[f388]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_39
    | spl0_49 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s46,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_31
    | spl0_38 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_46
    | spl0_50 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_33
    | spl0_51 ),
    inference(sat_conversion,[],[f401]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_50
    | spl0_52 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_40
    | spl0_53 ),
    inference(sat_conversion,[],[f409]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s52,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_39
    | spl0_56 ),
    inference(sat_conversion,[],[f421]) ).

cnf(s57,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_29
    | spl0_39 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s61,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_52
    | spl0_59 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s62,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_31
    | spl0_36 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s63,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_46
    | spl0_60 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s64,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s65,plain,
    ( ~ spl0_3
    | spl0_46
    | spl0_48
    | spl0_50 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s69,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_34
    | spl0_51 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s72,plain,
    ( ~ spl0_60
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s73,plain,
    ( ~ spl0_60
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s74,plain,
    ( ~ spl0_36
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s75,plain,
    ( ~ spl0_36
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s76,plain,
    ( ~ spl0_46
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s77,plain,
    ( ~ spl0_46
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s78,plain,
    ( ~ spl0_52
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s79,plain,
    ( ~ spl0_54
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s80,plain,
    ( ~ spl0_54
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s81,plain,
    ( ~ spl0_54
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f502]) ).

cnf(s82,plain,
    ( ~ spl0_34
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s83,plain,
    ( ~ spl0_34
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s84,plain,
    ( ~ spl0_51
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f516]) ).

cnf(s85,plain,
    ( ~ spl0_33
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s86,plain,
    ( ~ spl0_31
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s87,plain,
    ( ~ spl0_31
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s88,plain,
    ( ~ spl0_29
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s89,plain,
    ( ~ spl0_29
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s90,plain,
    ( ~ spl0_38
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s91,plain,
    ( ~ spl0_44
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s92,plain,
    ( ~ spl0_44
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s93,plain,
    ( ~ spl0_43
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s94,plain,
    ( ~ spl0_59
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s95,plain,
    ( ~ spl0_41
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s96,plain,
    ( ~ spl0_41
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s97,plain,
    ( ~ spl0_40
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s98,plain,
    ( ~ spl0_40
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s99,plain,
    ( ~ spl0_55
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s100,plain,
    ( ~ spl0_55
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s101,plain,
    ( ~ spl0_57
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s102,plain,
    ( ~ spl0_24
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s103,plain,
    ( ~ spl0_37
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s104,plain,
    ( ~ spl0_37
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s105,plain,
    ( ~ spl0_37
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s106,plain,
    ( ~ spl0_61
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s108,plain,
    ( ~ spl0_19
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s109,plain,
    ( ~ spl0_19
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s110,plain,
    ( ~ spl0_19
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s111,plain,
    ( ~ spl0_56
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s112,plain,
    ( ~ spl0_56
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s113,plain,
    ( ~ spl0_53
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s114,plain,
    ( ~ spl0_53
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s116,plain,
    ( ~ spl0_60
    | spl0_108 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s117,plain,
    ( ~ spl0_36
    | spl0_109 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s118,plain,
    ( ~ spl0_46
    | spl0_110 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s119,plain,
    ( ~ spl0_52
    | spl0_111 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s120,plain,
    ( ~ spl0_52
    | spl0_112 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s121,plain,
    ( ~ spl0_34
    | spl0_113 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s122,plain,
    ( ~ spl0_51
    | spl0_114 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s123,plain,
    ( ~ spl0_51
    | spl0_115 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s124,plain,
    ( ~ spl0_33
    | spl0_116 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s125,plain,
    ( ~ spl0_33
    | spl0_117 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s126,plain,
    ( ~ spl0_31
    | spl0_118 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s127,plain,
    ( ~ spl0_29
    | spl0_119 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s128,plain,
    ( ~ spl0_38
    | spl0_120 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s129,plain,
    ( ~ spl0_38
    | spl0_121 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s130,plain,
    ( ~ spl0_44
    | spl0_122 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s131,plain,
    ( ~ spl0_43
    | spl0_123 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s132,plain,
    ( ~ spl0_43
    | spl0_124 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s133,plain,
    ( ~ spl0_59
    | spl0_125 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s134,plain,
    ( ~ spl0_59
    | spl0_126 ),
    inference(sat_conversion,[],[f737]) ).

cnf(s135,plain,
    ( ~ spl0_41
    | spl0_127 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s136,plain,
    ( ~ spl0_40
    | spl0_128 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s137,plain,
    ( ~ spl0_55
    | spl0_129 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s138,plain,
    ( ~ spl0_57
    | spl0_130 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s139,plain,
    ( ~ spl0_57
    | spl0_131 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s140,plain,
    ( ~ spl0_24
    | spl0_132 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s141,plain,
    ( ~ spl0_24
    | spl0_133 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s142,plain,
    ( ~ spl0_61
    | spl0_134 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s143,plain,
    ( ~ spl0_61
    | spl0_135 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s146,plain,
    ( ~ spl0_56
    | spl0_138 ),
    inference(sat_conversion,[],[f785]) ).

cnf(s147,plain,
    ( ~ spl0_53
    | spl0_139 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s148,plain,
    ( ~ spl0_106
    | spl0_140 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s149,plain,
    ( ~ spl0_106
    | spl0_141 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s150,plain,
    ( ~ spl0_39
    | spl0_142 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s151,plain,
    ( ~ spl0_39
    | spl0_143 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s152,plain,
    ( ~ spl0_39
    | spl0_144 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s153,plain,
    ( ~ spl0_50
    | spl0_145 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s154,plain,
    ( ~ spl0_50
    | spl0_146 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s155,plain,
    ( ~ spl0_50
    | spl0_147 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s156,plain,
    ( ~ spl0_22
    | spl0_148 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s158,plain,
    ( ~ spl0_22
    | spl0_150 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s159,plain,
    ( ~ spl0_49
    | spl0_151 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s161,plain,
    ( ~ spl0_49
    | spl0_153 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s162,plain,
    ( spl0_36
    | spl0_43
    | spl0_60 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s163,plain,
    ( spl0_43
    | spl0_55
    | spl0_59 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s164,plain,
    ( spl0_24
    | spl0_50
    | spl0_57 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s165,plain,
    ( spl0_19
    | spl0_24
    | spl0_29 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s167,plain,
    ( spl0_38
    | spl0_46
    | spl0_61 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s168,plain,
    ( spl0_36
    | spl0_44
    | spl0_61 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s188,plain,
    ( spl0_3
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s194,plain,
    ( spl0_3
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s199,plain,
    ( spl0_37
    | spl0_106 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s200,plain,
    ( spl0_52
    | spl0_55 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s201,plain,
    ( ~ spl0_5
    | spl0_69
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s203,plain,
    ( ~ spl0_6
    | ~ spl0_23
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s204,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | spl0_35 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s208,plain,
    ( ~ spl0_4
    | ~ spl0_10
    | ~ spl0_17
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s213,plain,
    ( ~ spl0_4
    | ~ spl0_10
    | ~ spl0_12
    | spl0_84
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f999]) ).

cnf(s214,plain,
    ( ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | spl0_69
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s222,plain,
    ( ~ spl0_13
    | ~ spl0_15
    | spl0_92
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1036]) ).

cnf(s227,plain,
    ( ~ spl0_15
    | ~ spl0_20
    | spl0_99
    | spl0_101 ),
    inference(sat_conversion,[],[f1057]) ).

cnf(s236,plain,
    ( ~ spl0_13
    | ~ spl0_15
    | spl0_77
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1104]) ).

cnf(s240,plain,
    ( ~ spl0_7
    | ~ spl0_15
    | ~ spl0_20
    | spl0_95
    | spl0_96 ),
    inference(sat_conversion,[],[f1123]) ).

cnf(s253,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_26 ),
    inference(sat_conversion,[],[f1158]) ).

cnf(s255,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1171]) ).

cnf(s265,plain,
    ( ~ spl0_4
    | ~ spl0_10
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1242]) ).

cnf(s283,plain,
    ( ~ spl0_12
    | spl0_63
    | spl0_64
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f1338]) ).

cnf(s306,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_145
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1433]) ).

cnf(s309,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_30
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1450]) ).

cnf(s310,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_30
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1451]) ).

cnf(s326,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_42
    | spl0_96 ),
    inference(sat_conversion,[],[f1515]) ).

cnf(s354,plain,
    ( ~ spl0_42
    | spl0_94
    | spl0_96
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1662]) ).

cnf(s355,plain,
    ( ~ spl0_42
    | spl0_65
    | spl0_66
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f1664]) ).

cnf(s357,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | ~ spl0_35
    | spl0_69
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1689]) ).

cnf(s358,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | ~ spl0_35
    | spl0_79
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1691]) ).

cnf(s394,plain,
    ( ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_138
    | spl0_160 ),
    inference(sat_conversion,[],[f1765]) ).

cnf(s410,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_30
    | ~ spl0_47
    | spl0_68 ),
    inference(sat_conversion,[],[f1804]) ).

cnf(s421,plain,
    ( ~ spl0_9
    | spl0_63
    | spl0_64
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1846]) ).

cnf(s428,plain,
    ( ~ spl0_11
    | ~ spl0_42
    | spl0_76
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1866]) ).

cnf(s442,plain,
    ( ~ spl0_32
    | ~ spl0_45
    | spl0_89
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1905]) ).

cnf(s443,plain,
    ( ~ spl0_32
    | ~ spl0_45
    | ~ spl0_139
    | spl0_161 ),
    inference(sat_conversion,[],[f1906]) ).

cnf(s469,plain,
    ( ~ spl0_32
    | spl0_76
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1981]) ).

cnf(s471,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | ~ spl0_151
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1984]) ).

cnf(s478,plain,
    ( ~ spl0_12
    | ~ spl0_14
    | spl0_42 ),
    inference(sat_conversion,[],[f1994]) ).

cnf(s500,plain,
    ( ~ spl0_13
    | ~ spl0_15
    | ~ spl0_48
    | spl0_95
    | spl0_158 ),
    inference(sat_conversion,[],[f2043]) ).

cnf(s501,plain,
    ( ~ spl0_13
    | ~ spl0_15
    | ~ spl0_48
    | spl0_99
    | spl0_100 ),
    inference(sat_conversion,[],[f2045]) ).

cnf(s503,plain,
    ( ~ spl0_7
    | spl0_95
    | spl0_96
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2050]) ).

cnf(s511,plain,
    ( ~ spl0_11
    | ~ spl0_13
    | ~ spl0_15
    | spl0_81
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2067]) ).

cnf(s518,plain,
    ( ~ spl0_12
    | spl0_94
    | spl0_95
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2077]) ).

cnf(s540,plain,
    ( ~ spl0_18
    | spl0_99
    | spl0_100
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2117]) ).

cnf(s555,plain,
    ( ~ spl0_5
    | ~ spl0_134
    | ~ spl0_135
    | spl0_168 ),
    inference(sat_conversion,[],[f2163]) ).

cnf(s571,plain,
    ( ~ spl0_14
    | spl0_104
    | ~ spl0_139
    | spl0_161 ),
    inference(sat_conversion,[],[f2227]) ).

cnf(s578,plain,
    ( ~ spl0_42
    | spl0_63
    | ~ spl0_108
    | spl0_157 ),
    inference(sat_conversion,[],[f2242]) ).

cnf(s598,plain,
    ( ~ spl0_8
    | spl0_104
    | spl0_105
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f2288]) ).

cnf(s600,plain,
    ( ~ spl0_8
    | spl0_88
    | ~ spl0_128
    | spl0_165 ),
    inference(sat_conversion,[],[f2290]) ).

cnf(s615,plain,
    ( ~ spl0_13
    | spl0_73
    | ~ spl0_113
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2337]) ).

cnf(s616,plain,
    ( ~ spl0_13
    | ~ spl0_142
    | ~ spl0_144
    | spl0_166 ),
    inference(sat_conversion,[],[f2338]) ).

cnf(s636,plain,
    ( ~ spl0_10
    | spl0_97
    | ~ spl0_134
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2399]) ).

cnf(s637,plain,
    ( ~ spl0_7
    | ~ spl0_10
    | spl0_42 ),
    inference(sat_conversion,[],[f2400]) ).

cnf(s640,plain,
    ( ~ spl0_4
    | ~ spl0_10
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f2407]) ).

cnf(s649,plain,
    ( ~ spl0_8
    | spl0_69
    | ~ spl0_111
    | spl0_172 ),
    inference(sat_conversion,[],[f2419]) ).

cnf(s653,plain,
    ( ~ spl0_6
    | ~ spl0_111
    | ~ spl0_112
    | spl0_172 ),
    inference(sat_conversion,[],[f2424]) ).

cnf(s663,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_97
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2447]) ).

cnf(s664,plain,
    ( ~ spl0_4
    | ~ spl0_30
    | ~ spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f2460]) ).

cnf(s685,plain,
    ( ~ spl0_11
    | ~ spl0_42
    | spl0_68
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2548]) ).

cnf(s693,plain,
    ( ~ spl0_7
    | spl0_67
    | spl0_68
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2579]) ).

cnf(s696,plain,
    ( ~ spl0_11
    | ~ spl0_20
    | ~ spl0_42
    | spl0_94
    | spl0_96 ),
    inference(sat_conversion,[],[f2596]) ).

cnf(s701,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_30
    | spl0_67
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2610]) ).

cnf(s707,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | spl0_11 ),
    inference(sat_conversion,[],[f2620]) ).

cnf(s709,plain,
    ( ~ spl0_4
    | ~ spl0_116
    | ~ spl0_117
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2625]) ).

cnf(s710,plain,
    ( ~ spl0_4
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2626]) ).

cnf(s722,plain,
    ( ~ spl0_8
    | ~ spl0_10
    | spl0_75
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f2647]) ).

cnf(s723,plain,
    ( ~ spl0_7
    | spl0_86
    | spl0_87
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2659]) ).

cnf(s727,plain,
    ( ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | spl0_84
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f2677]) ).

cnf(s729,plain,
    ( ~ spl0_15
    | spl0_92
    | ~ spl0_130
    | spl0_155 ),
    inference(sat_conversion,[],[f2681]) ).

cnf(s730,plain,
    ( ~ spl0_21
    | spl0_86
    | spl0_87
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2682]) ).

cnf(s752,plain,
    ( ~ spl0_2
    | ~ spl0_142
    | ~ spl0_144
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2756]) ).

cnf(s777,plain,
    ( ~ spl0_2
    | ~ spl0_125
    | ~ spl0_126
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2780]) ).

cnf(s781,plain,
    ( ~ spl0_16
    | spl0_73
    | spl0_74
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2782]) ).

cnf(s792,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_127
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2818]) ).

cnf(s800,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f2826]) ).

cnf(s811,plain,
    ( ~ spl0_18
    | spl0_73
    | spl0_74
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f2889]) ).

cnf(s813,plain,
    ( ~ spl0_18
    | spl0_86
    | ~ spl0_127
    | spl0_171 ),
    inference(sat_conversion,[],[f2891]) ).

cnf(s815,plain,
    ( ~ spl0_20
    | spl0_94
    | spl0_96
    | spl0_158 ),
    inference(sat_conversion,[],[f2909]) ).

cnf(s816,plain,
    ( ~ spl0_20
    | spl0_99
    | spl0_101
    | spl0_167 ),
    inference(sat_conversion,[],[f2911]) ).

cnf(s850,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | spl0_84
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f2967]) ).

cnf(s856,plain,
    ( ~ spl0_15
    | spl0_77
    | spl0_78
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f3002]) ).

cnf(s900,plain,
    ( ~ spl0_17
    | spl0_69
    | ~ spl0_111
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f3099]) ).

cnf(s904,plain,
    ( ~ spl0_17
    | spl0_92
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f3107]) ).

cnf(s906,plain,
    ( ~ spl0_17
    | ~ spl0_142
    | ~ spl0_143
    | spl0_166 ),
    inference(sat_conversion,[],[f3111]) ).

cnf(s908,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | spl0_65
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f3128]) ).

cnf(s912,plain,
    ( ~ spl0_4
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f3136]) ).

cnf(s946,plain,
    ( ~ spl0_21
    | spl0_67
    | spl0_68
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f3161]) ).

cnf(s958,plain,
    ( ~ spl0_15
    | spl0_87
    | ~ spl0_127
    | spl0_171 ),
    inference(sat_conversion,[],[f3176]) ).

cnf(s967,plain,
    ( ~ spl0_21
    | spl0_100
    | spl0_101
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f3182]) ).

cnf(s993,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_26
    | ~ spl0_30
    | ~ spl0_42
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f3268]) ).

cnf(s996,plain,
    ( ~ spl0_35
    | spl0_69
    | ~ spl0_112
    | spl0_172 ),
    inference(sat_conversion,[],[f3294]) ).

cnf(s997,plain,
    ( ~ spl0_35
    | spl0_82
    | spl0_83
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f3296]) ).

cnf(s999,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_30
    | spl0_93
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f3309]) ).

cnf(s1000,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | spl0_93
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f3311]) ).

cnf(s1006,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_26
    | ~ spl0_42
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f3352]) ).

cnf(s1009,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_26
    | ~ spl0_42
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f3355]) ).

cnf(s1012,plain,
    ( ~ spl0_9
    | ~ spl0_25
    | spl0_80
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f3359]) ).

cnf(s1015,plain,
    ( ~ spl0_35
    | spl0_104
    | spl0_105
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f3367]) ).

cnf(s1018,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_110
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f3396]) ).

cnf(s1020,plain,
    ( ~ spl0_9
    | ~ spl0_23
    | ~ spl0_25
    | ~ spl0_112
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f3411]) ).

cnf(s1025,plain,
    ( ~ spl0_9
    | ~ spl0_23
    | ~ spl0_25
    | ~ spl0_130
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f3421]) ).

cnf(s1028,plain,
    ( ~ spl0_9
    | ~ spl0_23
    | ~ spl0_25
    | ~ spl0_142
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f3427]) ).

cnf(s1034,plain,
    ( ~ spl0_2
    | ~ spl0_26
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f3456]) ).

cnf(s1035,plain,
    ( ~ spl0_2
    | ~ spl0_26
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f3458]) ).

cnf(s1037,plain,
    ( ~ spl0_2
    | ~ spl0_26
    | ~ spl0_148
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f3462]) ).

cnf(s1059,plain,
    ( ~ spl0_27
    | spl0_85
    | ~ spl0_126
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f3487]) ).

cnf(s1088,plain,
    ( ~ spl0_12
    | spl0_67
    | ~ spl0_110
    | spl0_174 ),
    inference(sat_conversion,[],[f3527]) ).

cnf(s1095,plain,
    ( ~ spl0_6
    | spl0_97
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f3558]) ).

cnf(s1101,plain,
    ( ~ spl0_20
    | spl0_70
    | spl0_71
    | spl0_159 ),
    inference(sat_conversion,[],[f3570]) ).

cnf(s1103,plain,
    ( ~ spl0_16
    | spl0_71
    | spl0_72
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f3572]) ).

cnf(s1108,plain,
    ( ~ spl0_6
    | ~ spl0_16
    | spl0_35 ),
    inference(sat_conversion,[],[f3620]) ).

cnf(s1109,plain,
    ( ~ spl0_8
    | ~ spl0_16
    | spl0_35 ),
    inference(sat_conversion,[],[f3621]) ).

cnf(s1115,plain,
    ( ~ spl0_28
    | spl0_81
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f3686]) ).

cnf(s1122,plain,
    ( ~ spl0_4
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f3694]) ).

cnf(s1126,plain,
    ( ~ spl0_2
    | ~ spl0_12
    | spl0_93
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f3722]) ).

cnf(s1129,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f3730]) ).

cnf(s1135,plain,
    ( ~ spl0_16
    | spl0_79
    | spl0_80
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f3736]) ).

cnf(s1139,plain,
    ( ~ spl0_32
    | spl0_81
    | ~ spl0_121
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f3748]) ).

cnf(s1153,plain,
    ( ~ spl0_12
    | spl0_93
    | ~ spl0_132
    | spl0_176 ),
    inference(sat_conversion,[],[f3763]) ).

cnf(s1174,plain,
    ( ~ spl0_15
    | spl0_81
    | ~ spl0_120
    | spl0_162 ),
    inference(sat_conversion,[],[f3778]) ).

cnf(s1182,plain,
    ( ~ spl0_18
    | spl0_79
    | spl0_80
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f3786]) ).

cnf(s1241,plain,
    ( ~ spl0_25
    | spl0_93
    | ~ spl0_133
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f3816]) ).

cnf(s1244,plain,
    ( ~ spl0_27
    | spl0_93
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f3819]) ).

cnf(s1245,plain,
    ( ~ spl0_28
    | spl0_89
    | ~ spl0_128
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f3821]) ).

cnf(s1254,plain,
    ( ~ spl0_42
    | spl0_102
    | spl0_103
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f3825]) ).

cnf(s1266,plain,
    ( ~ spl0_15
    | spl0_73
    | ~ spl0_113
    | spl0_156 ),
    inference(sat_conversion,[],[f3833]) ).

cnf(s1294,plain,
    ( ~ spl0_4
    | ~ spl0_18
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_130
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f3914]) ).

cnf(s1298,plain,
    ( ~ spl0_21
    | spl0_74
    | ~ spl0_113
    | spl0_156 ),
    inference(sat_conversion,[],[f3922]) ).

cnf(s1300,plain,
    ( ~ spl0_25
    | spl0_74
    | ~ spl0_113
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f3924]) ).

cnf(s1327,plain,
    ( ~ spl0_9
    | spl0_80
    | ~ spl0_119
    | spl0_173 ),
    inference(sat_conversion,[],[f3944]) ).

cnf(s1336,plain,
    ( ~ spl0_14
    | spl0_76
    | ~ spl0_117
    | spl0_163 ),
    inference(sat_conversion,[],[f3951]) ).

cnf(s1347,plain,
    ( ~ spl0_14
    | spl0_89
    | ~ spl0_128
    | spl0_165 ),
    inference(sat_conversion,[],[f3959]) ).

cnf(s1367,plain,
    ( ~ spl0_7
    | spl0_85
    | ~ spl0_126
    | spl0_154 ),
    inference(sat_conversion,[],[f3974]) ).

cnf(s1373,plain,
    ( ~ spl0_9
    | spl0_90
    | spl0_91
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f3976]) ).

cnf(s1388,plain,
    ( ~ spl0_11
    | spl0_76
    | ~ spl0_116
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f4038]) ).

cnf(s1389,plain,
    ( ~ spl0_11
    | ~ spl0_125
    | ~ spl0_126
    | spl0_154 ),
    inference(sat_conversion,[],[f4039]) ).

cnf(s1391,plain,
    spl0_3,
    inference(rat,[],[s199,s188,s194]) ).

cnf(s1392,plain,
    ( ~ spl0_39
    | ~ spl0_13
    | ~ spl0_4 ),
    inference(rat,[],[s616,s710,s150,s151,s152]) ).

cnf(s1394,plain,
    ( ~ spl0_56
    | ~ spl0_42
    | ~ spl0_15
    | ~ spl0_13
    | ~ spl0_8 ),
    inference(rat,[],[s1254,s394,s111,s112,s146]) ).

cnf(s1395,plain,
    ( ~ spl0_38
    | ~ spl0_15
    | ~ spl0_13
    | ~ spl0_4 ),
    inference(rat,[],[s255,s128,s129]) ).

cnf(s1396,plain,
    ( ~ spl0_15
    | ~ spl0_13
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s236,s86,s126,s46,s1395,s1391]) ).

cnf(s1399,plain,
    ( ~ spl0_24
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(rat,[],[s1241,s1153,s102,s140,s141]) ).

cnf(s1400,plain,
    ( ~ spl0_36
    | ~ spl0_12
    | ~ spl0_10 ),
    inference(rat,[],[s908,s74,s117]) ).

cnf(s1401,plain,
    ( ~ spl0_29
    | ~ spl0_16 ),
    inference(rat,[],[s1135,s88,s89,s127]) ).

cnf(s1402,plain,
    ( ~ spl0_51
    | ~ spl0_10
    | ~ spl0_8 ),
    inference(rat,[],[s722,s84,s123]) ).

cnf(s1403,plain,
    ( spl0_7
    | spl0_6
    | spl0_99
    | spl0_100
    | spl0_101
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s811,s82,s83,s121,s69,s1402,s36,s1396,s1392,s816,s540,s7,s12,s4,s1391]) ).

cnf(s1404,plain,
    ( ~ spl0_13
    | spl0_10
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s36,s1396,s1392,s1391]) ).

cnf(s1405,plain,
    ( ~ spl0_41
    | ~ spl0_15
    | ~ spl0_7 ),
    inference(rat,[],[s723,s958,s95,s96,s135]) ).

cnf(s1406,plain,
    ( ~ spl0_31
    | ~ spl0_15 ),
    inference(rat,[],[s856,s86,s87,s126]) ).

cnf(s1407,plain,
    ( ~ spl0_15
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s1174,s1122,s90,s128,s129,s46,s1406,s1391]) ).

cnf(s1409,plain,
    ( spl0_14
    | spl0_27
    | ~ spl0_8
    | spl0_2 ),
    inference(rat,[],[s997,s91,s92,s130,s204,s34,s8,s1391]) ).

cnf(s1413,plain,
    ( ~ spl0_33
    | ~ spl0_42
    | ~ spl0_11 ),
    inference(rat,[],[s428,s85,s124]) ).

cnf(s1414,plain,
    ( ~ spl0_42
    | ~ spl0_34
    | ~ spl0_11
    | spl0_15
    | spl0_2 ),
    inference(rat,[],[s355,s74,s75,s117,s40,s781,s1298,s22,s1413,s121,s83,s82,s1391]) ).

cnf(s1415,plain,
    ( spl0_10
    | ~ spl0_11
    | spl0_6
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s1244,s102,s140,s141,s19,s1409,s1245,s1336,s600,s97,s98,s136,s30,s469,s709,s85,s124,s125,s22,s730,s95,s96,s135,s31,s1414,s906,s811,s710,s82,s83,s121,s150,s151,s35,s36,s1407,s4,s1391]) ).

cnf(s1416,plain,
    ( spl0_6
    | spl0_99
    | spl0_100
    | spl0_101
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s816,s967,s69,s22,s1414,s1413,s1402,s637,s1415,s707,s1403,s4,s1407,s1391]) ).

cnf(s1417,plain,
    ( spl0_14
    | spl0_10
    | ~ spl0_6
    | spl0_2 ),
    inference(rat,[],[s850,s93,s132,s33,s8,s1391]) ).

cnf(s1418,plain,
    ( spl0_10
    | ~ spl0_6
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s1336,s709,s85,s124,s125,s22,s1298,s781,s11,s478,s1417,s906,s1414,s710,s707,s82,s83,s121,s150,s151,s7,s35,s36,s1404,s1407,s1391]) ).

cnf(s1419,plain,
    ( ~ spl0_33
    | ~ spl0_10
    | ~ spl0_4 ),
    inference(rat,[],[s265,s124,s125]) ).

cnf(s1420,plain,
    ( ~ spl0_51
    | ~ spl0_10
    | ~ spl0_4 ),
    inference(rat,[],[s640,s122,s123]) ).

cnf(s1422,plain,
    ( ~ spl0_57
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(rat,[],[s222,s101,s138]) ).

cnf(s1423,plain,
    ( ~ spl0_50
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s306,s153,s155]) ).

cnf(s1424,plain,
    ( spl0_36
    | ~ spl0_14
    | spl0_12
    | spl0_68
    | spl0_35
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s410,s44,s25,s1391]) ).

cnf(s1425,plain,
    ( ~ spl0_36
    | ~ spl0_42 ),
    inference(rat,[],[s74,s355,s75,s117]) ).

cnf(s1426,plain,
    ( ~ spl0_13
    | ~ spl0_29
    | ~ spl0_42
    | spl0_100
    | spl0_99
    | ~ spl0_15
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s214,s78,s119,s61,s133,s309,s1424,s25,s1399,s77,s164,s65,s1423,s1422,s53,s1394,s43,s501,s1392,s358,s1406,s1425,s127,s88,s1391]) ).

cnf(s1427,plain,
    ( ~ spl0_60
    | ~ spl0_12 ),
    inference(rat,[],[s283,s72,s73,s116]) ).

cnf(s1428,plain,
    ( spl0_11
    | ~ spl0_42
    | spl0_100
    | spl0_20
    | spl0_99
    | spl0_6
    | ~ spl0_15
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s946,s1088,s76,s77,s118,s63,s1427,s10,s1426,s14,s1327,s1182,s88,s89,s127,s12,s42,s707,s1391]) ).

cnf(s1429,plain,
    ( ~ spl0_46
    | ~ spl0_11
    | ~ spl0_42 ),
    inference(rat,[],[s685,s77,s118]) ).

cnf(s1431,plain,
    ( ~ spl0_40
    | ~ spl0_32
    | ~ spl0_45 ),
    inference(rat,[],[s442,s98,s136]) ).

cnf(s1432,plain,
    ( ~ spl0_53
    | ~ spl0_8 ),
    inference(rat,[],[s598,s113,s114,s147]) ).

cnf(s1433,plain,
    ( spl0_50
    | spl0_53
    | ~ spl0_45
    | ~ spl0_18
    | spl0_24
    | spl0_13
    | spl0_46
    | ~ spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s1431,s50,s21,s1294,s201,s729,s78,s119,s120,s101,s138,s49,s164,s47,s1406,s1391]) ).

cnf(s1434,plain,
    ( ~ spl0_50
    | ~ spl0_4 ),
    inference(rat,[],[s912,s153,s154,s155]) ).

cnf(s1435,plain,
    ( spl0_24
    | spl0_53
    | spl0_34
    | spl0_26
    | spl0_46
    | spl0_13
    | ~ spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s1433,s41,s39,s1020,s17,s1406,s47,s996,s24,s201,s119,s120,s78,s49,s1434,s1391]) ).

cnf(s1436,plain,
    ( ~ spl0_24
    | ~ spl0_12
    | ~ spl0_2 ),
    inference(rat,[],[s1126,s102,s140,s141]) ).

cnf(s1437,plain,
    ( spl0_34
    | spl0_24
    | spl0_26
    | spl0_46
    | spl0_13
    | ~ spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s1015,s443,s41,s113,s114,s147,s1020,s1435,s996,s24,s21,s201,s78,s119,s120,s49,s1406,s47,s1434,s17,s1391]) ).

cnf(s1438,plain,
    ( ~ spl0_12
    | spl0_46
    | spl0_36
    | spl0_13
    | ~ spl0_15
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1300,s1266,s82,s83,s121,s1437,s17,s1436,s1034,s131,s132,s162,s1427,s1391]) ).

cnf(s1439,plain,
    ( ~ spl0_24
    | ~ spl0_30
    | ~ spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s999,s102,s140,s141]) ).

cnf(s1440,plain,
    ( ~ spl0_34
    | ~ spl0_16
    | ~ spl0_15 ),
    inference(rat,[],[s781,s1266,s82,s83,s121]) ).

cnf(s1441,plain,
    ( ~ spl0_11
    | spl0_6
    | ~ spl0_42
    | spl0_13
    | ~ spl0_15
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s69,s240,s1440,s122,s104,s105,s1006,s12,s51,s17,s1294,s1025,s11,s729,s904,s101,s138,s139,s164,s1439,s25,s10,s1438,s47,s1429,s1434,s1425,s1391]) ).

cnf(s1442,plain,
    ( spl0_46
    | spl0_7
    | ~ spl0_42
    | spl0_13
    | ~ spl0_15
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s421,s578,s72,s73,s116,s10,s63,s1438,s1425,s1391]) ).

cnf(s1443,plain,
    ( spl0_6
    | spl0_100
    | ~ spl0_42
    | spl0_13
    | spl0_99
    | ~ spl0_15
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1327,s1182,s88,s89,s127,s165,s1439,s25,s10,s1088,s946,s76,s77,s118,s1442,s110,s227,s12,s1428,s707,s1441,s62,s1425,s1406,s1391]) ).

cnf(s1444,plain,
    ( ~ spl0_6
    | ~ spl0_21
    | ~ spl0_52
    | ~ spl0_15
    | spl0_50 ),
    inference(rat,[],[s1440,s11,s23,s1088,s693,s946,s76,s77,s118,s47,s900,s203,s653,s120,s119,s78,s1391]) ).

cnf(s1445,plain,
    ( ~ spl0_42
    | spl0_13
    | spl0_99
    | ~ spl0_15
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1327,s1182,s88,s89,s127,s165,s1439,s25,s10,s1088,s946,s76,s77,s118,s1442,s12,s109,s707,s1443,s1441,s1444,s62,s1425,s1406,s49,s1434,s1391]) ).

cnf(s1446,plain,
    ( spl0_24
    | spl0_12
    | spl0_11
    | spl0_99
    | ~ spl0_15
    | spl0_50 ),
    inference(rat,[],[s227,s110,s42,s165,s1401,s11,s904,s101,s138,s139,s164,s1391]) ).

cnf(s1447,plain,
    ( spl0_46
    | spl0_42
    | spl0_13
    | spl0_99
    | ~ spl0_15
    | spl0_50
    | ~ spl0_2 ),
    inference(rat,[],[s1000,s102,s140,s141,s1446,s10,s1427,s792,s63,s958,s1405,s96,s135,s31,s203,s47,s120,s119,s49,s1391]) ).

cnf(s1448,plain,
    ( spl0_6
    | ~ spl0_11
    | spl0_7
    | spl0_42
    | ~ spl0_2 ),
    inference(rat,[],[s792,s813,s95,s135,s12,s31,s1391]) ).

cnf(s1449,plain,
    ( ~ spl0_11
    | spl0_7
    | spl0_67
    | ~ spl0_110
    | spl0_42
    | spl0_69
    | ~ spl0_111
    | ~ spl0_112
    | ~ spl0_15
    | ~ spl0_2 ),
    inference(rat,[],[s1440,s11,s23,s900,s203,s653,s1448,s1088,s1018,s1391]) ).

cnf(s1450,plain,
    ( spl0_34
    | ~ spl0_25
    | ~ spl0_155
    | ~ spl0_130
    | spl0_30
    | spl0_7
    | spl0_5
    | spl0_31 ),
    inference(rat,[],[s1015,s443,s113,s114,s147,s50,s1431,s41,s1025,s23,s24,s21,s1391]) ).

cnf(s1451,plain,
    ( ~ spl0_12
    | spl0_67
    | spl0_68
    | ~ spl0_110
    | spl0_42
    | spl0_5
    | ~ spl0_15
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1300,s1266,s82,s83,s121,s1450,s17,s1034,s131,s132,s33,s1400,s729,s62,s101,s138,s946,s164,s701,s1088,s1436,s478,s1434,s1406,s693,s1391]) ).

cnf(s1452,plain,
    ( spl0_13
    | spl0_99
    | ~ spl0_15
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1000,s102,s140,s141,s1446,s10,s1451,s1449,s693,s76,s77,s118,s1447,s1445,s201,s78,s119,s120,s49,s1434,s1391]) ).

cnf(s1453,plain,
    ( ~ spl0_13
    | ~ spl0_15
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s214,s78,s119,s61,s1424,s358,s88,s127,s42,s1429,s77,s65,s43,s500,s354,s326,s103,s104,s105,s199,s133,s148,s309,s310,s25,s1425,s32,s1244,s1436,s102,s140,s141,s164,s1422,s1395,s1434,s1406,s1391]) ).

cnf(s1454,plain,
    ( ~ spl0_42
    | spl0_46
    | ~ spl0_15
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s707,s1441,s1442,s203,s47,s119,s120,s49,s1453,s1434,s1391]) ).

cnf(s1456,plain,
    ( ~ spl0_24
    | ~ spl0_27 ),
    inference(rat,[],[s1244,s102,s140,s141]) ).

cnf(s1457,plain,
    ( spl0_46
    | ~ spl0_15
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1405,s31,s203,s63,s1454,s47,s1427,s11,s904,s101,s138,s139,s164,s1401,s165,s1456,s18,s201,s78,s119,s120,s49,s1434,s108,s1452,s1453,s1391]) ).

cnf(s1458,plain,
    ( ~ spl0_15
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s62,s946,s1425,s1088,s1451,s76,s77,s118,s1457,s11,s904,s1401,s101,s138,s139,s165,s164,s1456,s18,s201,s108,s78,s119,s120,s1452,s49,s1453,s1406,s1434,s1391]) ).

cnf(s1459,plain,
    ( ~ spl0_8
    | spl0_30
    | ~ spl0_28 ),
    inference(rat,[],[s600,s1245,s97,s98,s136,s50,s1432,s1391]) ).

cnf(s1460,plain,
    ( ~ spl0_37
    | ~ spl0_20
    | ~ spl0_11
    | ~ spl0_42 ),
    inference(rat,[],[s696,s103,s105]) ).

cnf(s1461,plain,
    ( ~ spl0_12
    | ~ spl0_42
    | spl0_46
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1129,s148,s149,s199,s1460,s14,s1298,s1300,s1028,s83,s121,s150,s152,s35,s36,s17,s213,s1034,s93,s131,s132,s707,s162,s63,s1436,s1427,s1458,s47,s1434,s1425,s1391]) ).

cnf(s1463,plain,
    ( ~ spl0_25
    | ~ spl0_9
    | spl0_29
    | ~ spl0_52
    | ~ spl0_23 ),
    inference(rat,[],[s1028,s150,s152,s57,s649,s1020,s120,s119,s78,s1391]) ).

cnf(s1464,plain,
    ( ~ spl0_60
    | ~ spl0_9
    | ~ spl0_42 ),
    inference(rat,[],[s421,s578,s72,s73,s116]) ).

cnf(s1465,plain,
    ( ~ spl0_42
    | spl0_13
    | spl0_46
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1009,s131,s707,s162,s63,s1464,s17,s1463,s1439,s25,s10,s1461,s1401,s40,s1425,s1458,s47,s49,s1434,s1391]) ).

cnf(s1466,plain,
    ( ~ spl0_37
    | ~ spl0_20
    | ~ spl0_7 ),
    inference(rat,[],[s815,s503,s103,s104,s105]) ).

cnf(s1467,plain,
    ( ~ spl0_12
    | spl0_13
    | spl0_46
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1129,s148,s149,s199,s1466,s14,s1028,s17,s1034,s131,s132,s150,s152,s33,s36,s637,s707,s63,s478,s1436,s1427,s1458,s730,s96,s135,s95,s31,s1465,s203,s119,s47,s120,s49,s1434,s1391]) ).

cnf(s1468,plain,
    ( ~ spl0_43
    | ~ spl0_26
    | ~ spl0_2 ),
    inference(rat,[],[s1034,s131,s132]) ).

cnf(s1469,plain,
    ( ~ spl0_38
    | ~ spl0_28 ),
    inference(rat,[],[s1115,s90,s128,s129]) ).

cnf(s1470,plain,
    ( ~ spl0_40
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(rat,[],[s1347,s1245,s98,s136]) ).

cnf(s1473,plain,
    ( ~ spl0_55
    | ~ spl0_9 ),
    inference(rat,[],[s1373,s99,s100,s137]) ).

cnf(s1474,plain,
    ( ~ spl0_59
    | ~ spl0_11
    | ~ spl0_2 ),
    inference(rat,[],[s800,s133,s134]) ).

cnf(s1475,plain,
    ( ~ spl0_24
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(rat,[],[s1000,s102,s140,s141]) ).

cnf(s1476,plain,
    ( spl0_13
    | spl0_46
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1474,s42,s163,s1101,s1103,s1468,s79,s80,s81,s17,s52,s1463,s1401,s11,s904,s101,s138,s139,s164,s1475,s1473,s10,s1467,s49,s47,s1434,s1391]) ).

cnf(s1477,plain,
    ( spl0_24
    | spl0_39
    | spl0_46
    | spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s1400,s11,s40,s1401,s57,s663,s106,s142,s167,s1469,s19,s208,s138,s139,s164,s1434,s36,s1391]) ).

cnf(s1478,plain,
    ( spl0_46
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1035,s140,s141,s1477,s48,s1420,s1419,s36,s1392,s1476,s1458,s1391]) ).

cnf(s1479,plain,
    ( ~ spl0_12
    | spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s478,s33,s1468,s1425,s1400,s17,s40,s1012,s1401,s89,s127,s14,s42,s815,s518,s103,s104,s105,s26,s1459,s946,s1018,s701,s1088,s1458,s118,s77,s76,s1478,s19,s904,s101,s138,s139,s164,s1434,s1391]) ).

cnf(s1481,plain,
    ( ~ spl0_43
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(rat,[],[s850,s93,s132]) ).

cnf(s1482,plain,
    ( spl0_10
    | ~ spl0_9
    | ~ spl0_16
    | ~ spl0_28
    | spl0_7
    | spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s1015,s571,s113,s114,s147,s50,s664,s1470,s133,s134,s33,s163,s1481,s1108,s12,s811,s82,s83,s121,s35,s1473,s1391]) ).

cnf(s1483,plain,
    ( spl0_13
    | spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1037,s156,s158,s16,s203,s12,s540,s816,s1459,s42,s664,s1474,s133,s134,s163,s1468,s253,s1482,s1473,s10,s119,s120,s49,s1458,s693,s76,s118,s77,s1478,s19,s110,s109,s108,s165,s1401,s11,s1479,s904,s101,s138,s139,s164,s1434,s1391]) ).

cnf(s1484,plain,
    ( spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s357,s78,s120,s64,s1109,s1420,s57,s36,s1392,s1483,s1401,s11,s1479,s904,s101,s138,s139,s164,s1434,s1458,s693,s76,s118,s77,s1478,s1391]) ).

cnf(s1485,plain,
    ( ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s48,s1420,s1419,s36,s1392,s10,s1035,s1475,s1436,s140,s141,s1484,s1458,s1391]) ).

cnf(s1486,plain,
    ( ~ spl0_61
    | ~ spl0_10
    | spl0_4 ),
    inference(rat,[],[s555,s2,s636,s1095,s106,s142,s143,s1391]) ).

cnf(s1487,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | spl0_4 ),
    inference(rat,[],[s1406,s62,s9,s946,s1088,s693,s76,s77,s118,s167,s1486,s1469,s27,s727,s93,s131,s162,s1400,s1427,s1391]) ).

cnf(s1488,plain,
    ( ~ spl0_12
    | spl0_4 ),
    inference(rat,[],[s1425,s478,s162,s33,s1481,s2,s201,s78,s119,s120,s200,s1473,s5,s1487,s1427,s1391]) ).

cnf(s1492,plain,
    ( ~ spl0_52
    | ~ spl0_23
    | ~ spl0_6 ),
    inference(rat,[],[s203,s119,s120]) ).

cnf(s1496,plain,
    ( ~ spl0_9
    | ~ spl0_2 ),
    inference(rat,[],[s1440,s23,s9,s1367,s777,s11,s94,s133,s134,s900,s163,s653,s1492,s1481,s2,s201,s78,s119,s120,s200,s1473,s1488,s1485,s1391]) ).

cnf(s1497,plain,
    ( ~ spl0_39
    | ~ spl0_2 ),
    inference(rat,[],[s616,s752,s150,s152,s10,s1496,s1488,s1485,s1391]) ).

cnf(s1498,plain,
    ~ spl0_2,
    inference(rat,[],[s471,s159,s161,s45,s1497,s10,s1496,s1488,s1485,s1391]) ).

cnf(s1500,plain,
    ( ~ spl0_12
    | spl0_24
    | ~ spl0_14
    | ~ spl0_4 ),
    inference(rat,[],[s1416,s1418,s108,s109,s110,s213,s165,s93,s131,s1401,s162,s40,s1425,s478,s1427,s1407,s1498,s1391]) ).

cnf(s1501,plain,
    ( spl0_24
    | spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s1298,s615,s82,s83,s121,s69,s816,s967,s108,s109,s110,s22,s165,s1420,s1419,s1401,s1404,s11,s10,s1500,s904,s101,s138,s139,s164,s1434,s8,s1391,s1498]) ).

cnf(s1502,plain,
    ( ~ spl0_12
    | spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s42,s1415,s815,s1418,s518,s213,s103,s104,s105,s93,s131,s1401,s51,s162,s40,s1425,s478,s1399,s1427,s1407,s8,s1501,s1391,s1498]) ).

cnf(s1503,plain,
    ( ~ spl0_42
    | spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s25,s993,s1425,s140,s1501,s6,s48,s1419,s1420,s1404,s10,s1502,s1391,s1498]) ).

cnf(s1504,plain,
    ( ~ spl0_41
    | ~ spl0_21 ),
    inference(rat,[],[s730,s95,s96,s135]) ).

cnf(s1505,plain,
    ( spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s1298,s615,s82,s83,s121,s23,s1492,s31,s1504,s64,s637,s1503,s22,s1420,s1419,s1404,s10,s1502,s1498,s1391]) ).

cnf(s1506,plain,
    ( spl0_10
    | ~ spl0_4 ),
    inference(rat,[],[s707,s1415,s7,s1418,s1404,s1391,s1498]) ).

cnf(s1507,plain,
    ( ~ spl0_12
    | ~ spl0_4 ),
    inference(rat,[],[s213,s93,s131,s162,s1400,s1427,s1506]) ).

cnf(s1508,plain,
    ( spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s781,s1298,s82,s83,s121,s69,s816,s967,s108,s109,s110,s165,s1401,s11,s208,s138,s139,s164,s1434,s1420,s22,s1419,s1506,s1507,s1391,s1498]) ).

cnf(s1509,plain,
    ~ spl0_4,
    inference(rat,[],[s1401,s11,s20,s900,s1469,s653,s32,s1416,s1425,s108,s109,s110,s25,s18,s1439,s1456,s1508,s1507,s201,s78,s119,s120,s200,s1473,s1505,s1391,s1498]) ).

cnf(s1510,plain,
    spl0_7,
    inference(rat,[],[s3,s1391,s1498,s1509]) ).

cnf(s1511,plain,
    ~ spl0_12,
    inference(rat,[],[s1488,s1509]) ).

cnf(s1512,plain,
    spl0_11,
    inference(rat,[],[s6,s1498,s1391,s1511]) ).

cnf(s1513,plain,
    ( spl0_38
    | spl0_10 ),
    inference(rat,[],[s35,s1414,s1406,s32,s46,s1059,s1389,s133,s94,s134,s163,s1481,s2,s201,s78,s119,s120,s200,s1473,s5,s1391,s1512,s1498,s1509]) ).

cnf(s1514,plain,
    ( ~ spl0_42
    | ~ spl0_9 ),
    inference(rat,[],[s162,s1464,s1425,s1481,s2,s201,s78,s119,s120,s200,s1473,s1509,s1391]) ).

cnf(s1515,plain,
    ( ~ spl0_15
    | spl0_10 ),
    inference(rat,[],[s1139,s21,s1174,s1406,s201,s78,s119,s120,s200,s1473,s5,s129,s128,s90,s1513,s1391,s1509]) ).

cnf(s1516,plain,
    spl0_10,
    inference(rat,[],[s1388,s1336,s85,s124,s125,s22,s1298,s781,s82,s83,s121,s35,s1515,s11,s900,s653,s1417,s2,s201,s78,s119,s120,s200,s1473,s5,s1512,s1391,s1498,s1511,s1509]) ).

cnf(s1517,plain,
    ~ spl0_61,
    inference(rat,[],[s1486,s1509,s1516]) ).

cnf(s1519,plain,
    spl0_42,
    inference(rat,[],[s637,s1510,s1516]) ).

cnf(s1520,plain,
    ~ spl0_36,
    inference(rat,[],[s1425,s1519]) ).

cnf(s1522,plain,
    ~ spl0_46,
    inference(rat,[],[s1429,s1512,s1519]) ).

cnf(s1523,plain,
    ~ spl0_9,
    inference(rat,[],[s1514,s1519]) ).

cnf(s1525,plain,
    spl0_44,
    inference(rat,[],[s168,s1517,s1520]) ).

cnf(s1529,plain,
    spl0_38,
    inference(rat,[],[s167,s1517,s1522]) ).

cnf(s1531,plain,
    spl0_13,
    inference(rat,[],[s10,s1391,s1511,s1523]) ).

cnf(s1532,plain,
    spl0_122,
    inference(rat,[],[s130,s1525]) ).

cnf(s1533,plain,
    ~ spl0_83,
    inference(rat,[],[s92,s1525]) ).

cnf(s1534,plain,
    ~ spl0_82,
    inference(rat,[],[s91,s1525]) ).

cnf(s1537,plain,
    spl0_120,
    inference(rat,[],[s128,s1529]) ).

cnf(s1538,plain,
    ~ spl0_81,
    inference(rat,[],[s90,s1529]) ).

cnf(s1539,plain,
    ~ spl0_28,
    inference(rat,[],[s1469,s1529]) ).

cnf(s1540,plain,
    ~ spl0_15,
    inference(rat,[],[s511,s1512,s1537,s1538,s1531]) ).

cnf(s1541,plain,
    ~ spl0_35,
    inference(rat,[],[s997,s1534,s1532,s1533]) ).

cnf(s1544,plain,
    spl0_8,
    inference(rat,[],[s27,s1520,s1391,s1539]) ).

cnf(s1546,plain,
    spl0_16,
    inference(rat,[],[s40,s1520,s1391,s1540]) ).

cnf(s1547,plain,
    $false,
    inference(rat,[],[s1109,s1546,s1544,s1541]) ).

fof(f4041,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1547]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN503-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % 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
% 0.08/0.19  % DateTime : Mon Sep 28 16:20:03 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.64/1.01  % (4128658)Input is clausal, will run a generic CNF schedule.
% 0.64/1.01  % (4128667)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1671979973:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.64/1.01  % (4128667)First to succeed.
% 0.64/1.01  % (4128667)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4128658"
% 0.64/1.01  % (4128664)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=395712800:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.64/1.01  % (4128666)lrs+10_1_sil=8000:sp=occurrence:random_seed=3140820557:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.64/1.01  % (4128668)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1701418260:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.64/1.01  % (4128663)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=918821046:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.64/1.01  % (4128669)dis-21_1_sil=8000:lcm=predicate:random_seed=2077267509: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)
% 0.64/1.01  % (4128665)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1493830516:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.64/1.01  % (4128669)Also succeeded, but the first one will report.
% 0.64/1.01  % (4128668)Also succeeded, but the first one will report.
% 0.64/1.01  % (4128666)Also succeeded, but the first one will report.
% 0.64/1.01  % (4128667)Refutation found. Thanks to Tanya!
% 0.64/1.01  % SZS status Unsatisfiable for theBenchmark
% 0.64/1.01  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.20  % (4128667)------------------------------
% 0.18/1.20  % (4128667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.20  % (4128667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.20  % (4128667)CaDiCaL version: 2.1.3
% 0.18/1.20  % (4128667)Termination reason: Refutation
% 0.18/1.20  % (4128667)Time elapsed: 0.038 s
% 0.18/1.20  % (4128667)Peak memory usage: 90 MB
% 0.18/1.20  % (4128667)Instructions burned: 103 (million)
% 0.18/1.20  % (4128667)------------------------------
% 0.18/1.20  % (4128667)------------------------------
% 0.18/1.20  % (4128658)Success in time 0.344 s
% 0.18/1.20  % Vampire exiting
%------------------------------------------------------------------------------