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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN450-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:51:45 PM UTC 2026

% Result   : Unsatisfiable 3.16s 1.12s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :  265
% Syntax   : Number of formulae    :  862 (  32 unt; 147 def)
%            Number of atoms       : 2547 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 3003 (1318   ~;1538   |;   0   &)
%                                         ( 147 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  181 ( 180 usr; 177 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  115 (   0 sgn 115   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f10,negated_conjecture,
    ( ~ hskp20
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

fof(f30,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

fof(f32,negated_conjecture,
    ( hskp18
    | hskp2
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ( hskp1
    | hskp14
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp2
    | hskp22
    | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( hskp20
    | hskp24
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f37,negated_conjecture,
    ( ~ hskp29
    | c1_1(a688) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( ~ hskp29
    | c2_1(a688) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( ~ hskp29
    | c3_1(a688) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp28
    | c0_1(a671) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp28
    | c1_1(a671) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp28
    | c2_1(a671) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp27
    | c0_1(a655) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp27
    | c2_1(a655) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp27
    | c3_1(a655) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f50,negated_conjecture,
    ( ~ hskp23
    | c2_1(a695) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp22
    | c2_1(a693) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp22
    | c3_1(a693) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp20
    | c1_1(a686) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp20
    | c2_1(a686) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp19
    | c3_1(a682) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( ~ hskp18
    | c0_1(a676) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp18
    | c1_1(a676) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp17
    | c2_1(a675) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp16
    | c1_1(a672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp15
    | c3_1(a667) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp14
    | c2_1(a665) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp13
    | c0_1(a661) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp12
    | c0_1(a660) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp11
    | c0_1(a657) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp11
    | c2_1(a657) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp10
    | c0_1(a656) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp10
    | c2_1(a656) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp8
    | c0_1(a652) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp8
    | c3_1(a652) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp7
    | c3_1(a651) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp6
    | c0_1(a648) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp5
    | c1_1(a647) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f75,negated_conjecture,
    ( ~ hskp2
    | c1_1(a643) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp2
    | c2_1(a643) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp1
    | c0_1(a642) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp1
    | c3_1(a642) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp0
    | c2_1(a641) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp0
    | c3_1(a641) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ c0_1(a710)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ c2_1(a710)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ c3_1(a710)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f86,negated_conjecture,
    ( ~ c0_1(a695)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ c3_1(a695)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c0_1(a693)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c0_1(a691)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c1_1(a691)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ c3_1(a691)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f93,negated_conjecture,
    ( ~ c1_1(a682)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c2_1(a682)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c2_1(a676)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c1_1(a675)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c3_1(a675)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c2_1(a672)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c3_1(a672)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c0_1(a667)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c2_1(a667)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c0_1(a665)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c1_1(a665)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c1_1(a661)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c3_1(a661)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a660)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c2_1(a660)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c3_1(a657)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c1_1(a656)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c0_1(a654)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c1_1(a654)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c2_1(a654)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c2_1(a652)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c0_1(a651)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c1_1(a651)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c2_1(a648)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c3_1(a648)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c0_1(a647)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c3_1(a647)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c1_1(a646)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c2_1(a646)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c3_1(a646)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f124,negated_conjecture,
    ( ~ c0_1(a643)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c1_1(a642)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c1_1(a641)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f128,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | hskp2
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f130,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp6
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp12
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp28
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp8
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp14
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp17
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp17
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp11
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp5
      | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp1
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp15
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp23
      | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f155,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

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

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

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

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

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

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

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

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

fof(f182,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f183,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f185,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f186,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f188,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f191,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f192,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f193,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f180,f191,f188,f185,f182]) ).

fof(f195,definition,
    ( spl0_5
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f196,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f197,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f179,f195,f188,f185,f182]) ).

fof(f199,definition,
    ( spl0_6
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f200,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f202,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f203,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f204,plain,
    ( spl0_6
    | spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f178,f202,f188,f185,f199]) ).

fof(f206,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f207,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f209,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f210,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f212,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f213,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f214,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f177,f212,f188,f209,f206]) ).

fof(f220,definition,
    ( spl0_12
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f221,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f223,definition,
    ( spl0_13
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f224,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f225,plain,
    ( spl0_12
    | spl0_1
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f175,f223,f188,f182,f220]) ).

fof(f227,definition,
    ( spl0_14
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f228,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f230,definition,
    ( spl0_15
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f231,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f237,definition,
    ( spl0_17
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f238,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f240,definition,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f241,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f242,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f173,f202,f188,f240,f237]) ).

fof(f244,definition,
    ( spl0_19
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f247,definition,
    ( spl0_20
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f248,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f251,definition,
    ( spl0_21
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f254,definition,
    ( spl0_22
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f255,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f258,definition,
    ( spl0_23
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f265,definition,
    ( spl0_25
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f267,plain,
    ( spl0_25
    | spl0_8
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f169,f195,f188,f206,f265]) ).

fof(f272,definition,
    ( spl0_27
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f273,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f275,plain,
    ( spl0_19
    | spl0_27
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f167,f195,f188,f272,f244]) ).

fof(f277,definition,
    ( spl0_28
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f278,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f279,plain,
    ( spl0_25
    | spl0_28
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f166,f206,f188,f277,f265]) ).

fof(f281,definition,
    ( spl0_29
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f283,plain,
    ( spl0_29
    | spl0_12
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f165,f247,f188,f220,f281]) ).

fof(f285,definition,
    ( spl0_30
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f287,plain,
    ( spl0_30
    | spl0_12
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f164,f185,f188,f220,f285]) ).

fof(f290,definition,
    ( spl0_31
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f293,definition,
    ( spl0_32
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f294,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f295,plain,
    ( spl0_31
    | spl0_32
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f162,f202,f188,f293,f290]) ).

fof(f297,definition,
    ( spl0_33
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f298,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f300,plain,
    ( spl0_22
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f160,f212,f188,f254]) ).

fof(f302,definition,
    ( spl0_34
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f306,definition,
    ( spl0_35
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f307,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f308,plain,
    ( spl0_30
    | spl0_32
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f158,f306,f188,f293,f285]) ).

fof(f310,definition,
    ( spl0_36
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f313,definition,
    ( spl0_37
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f314,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f315,plain,
    ( spl0_36
    | spl0_27
    | ~ spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f157,f313,f188,f272,f310]) ).

fof(f317,definition,
    ( spl0_38
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f319,plain,
    ( spl0_38
    | spl0_18
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f156,f199,f188,f240,f317]) ).

fof(f321,definition,
    ( spl0_39
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f323,plain,
    ( spl0_39
    | spl0_17
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f155,f277,f188,f237,f321]) ).

fof(f325,definition,
    ( spl0_40
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f328,plain,
    ( spl0_23
    | spl0_14
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f153,f199,f188,f227,f258]) ).

fof(f330,definition,
    ( spl0_41
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f333,definition,
    ( spl0_42
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f335,plain,
    ( spl0_41
    | spl0_42
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f152,f195,f188,f333,f330]) ).

fof(f337,definition,
    ( spl0_43
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f344,definition,
    ( spl0_45
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f346,plain,
    ( spl0_23
    | spl0_45
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f150,f212,f188,f344,f258]) ).

fof(f348,definition,
    ( spl0_46
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f351,plain,
    ( spl0_43
    | spl0_39
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f148,f212,f188,f321,f337]) ).

fof(f354,definition,
    ( spl0_47
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f357,plain,
    ( spl0_42
    | spl0_38
    | ~ spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f145,f297,f188,f317,f333]) ).

fof(f359,definition,
    ( spl0_48
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f363,definition,
    ( spl0_49
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f365,plain,
    ( spl0_49
    | spl0_21
    | ~ spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f143,f297,f188,f251,f363]) ).

fof(f367,definition,
    ( spl0_50
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f370,definition,
    ( spl0_51
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f372,plain,
    ( spl0_50
    | spl0_51
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f142,f185,f188,f370,f367]) ).

fof(f373,plain,
    ( spl0_25
    | spl0_51
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f141,f185,f188,f370,f265]) ).

fof(f375,definition,
    ( spl0_52
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f382,definition,
    ( spl0_54
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f387,definition,
    ( spl0_55
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f389,plain,
    ( spl0_40
    | spl0_55
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f137,f277,f188,f387,f325]) ).

fof(f392,plain,
    ( spl0_50
    | spl0_19
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f134,f254,f188,f244,f367]) ).

fof(f394,definition,
    ( spl0_56
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f396,plain,
    ( spl0_56
    | spl0_54
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f133,f306,f188,f382,f394]) ).

fof(f402,definition,
    ( spl0_58
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f404,plain,
    ( spl0_58
    | spl0_34
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f131,f220,f188,f302,f402]) ).

fof(f405,plain,
    ( spl0_36
    | spl0_29
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f130,f240,f188,f281,f310]) ).

fof(f408,definition,
    ( spl0_59
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f410,plain,
    ( spl0_59
    | spl0_36
    | spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f128,f188,f237,f310,f408]) ).

fof(f420,definition,
    ( spl0_62
  <=> c1_1(a641) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f422,plain,
    ( ~ spl0_59
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f126,f420,f408]) ).

fof(f425,definition,
    ( spl0_63
  <=> c1_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f427,plain,
    ( ~ spl0_39
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f125,f425,f321]) ).

fof(f430,definition,
    ( spl0_64
  <=> c0_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f431,plain,
    ( ~ c0_1(a643)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f432,plain,
    ( ~ spl0_36
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f124,f430,f310]) ).

fof(f440,definition,
    ( spl0_66
  <=> c3_1(a646) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f442,plain,
    ( ~ spl0_40
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f122,f440,f325]) ).

fof(f444,definition,
    ( spl0_67
  <=> c2_1(a646) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f445,plain,
    ( ~ c2_1(a646)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f446,plain,
    ( ~ spl0_40
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f121,f444,f325]) ).

fof(f448,definition,
    ( spl0_68
  <=> c1_1(a646) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f450,plain,
    ( ~ spl0_40
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f120,f448,f325]) ).

fof(f453,definition,
    ( spl0_69
  <=> c3_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f455,plain,
    ( ~ spl0_38
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f119,f453,f317]) ).

fof(f457,definition,
    ( spl0_70
  <=> c0_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f458,plain,
    ( ~ c0_1(a647)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f459,plain,
    ( ~ spl0_38
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f118,f457,f317]) ).

fof(f462,definition,
    ( spl0_71
  <=> c3_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f464,plain,
    ( ~ spl0_29
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f117,f462,f281]) ).

fof(f466,definition,
    ( spl0_72
  <=> c2_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f468,plain,
    ( ~ spl0_29
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f116,f466,f281]) ).

fof(f471,definition,
    ( spl0_73
  <=> c1_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f473,plain,
    ( ~ spl0_25
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f115,f471,f265]) ).

fof(f475,definition,
    ( spl0_74
  <=> c0_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f476,plain,
    ( ~ c0_1(a651)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f477,plain,
    ( ~ spl0_25
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f114,f475,f265]) ).

fof(f480,definition,
    ( spl0_75
  <=> c2_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f482,plain,
    ( ~ spl0_19
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f113,f480,f244]) ).

fof(f485,definition,
    ( spl0_76
  <=> c2_1(a654) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f486,plain,
    ( ~ c2_1(a654)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f487,plain,
    ( ~ spl0_23
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f112,f485,f258]) ).

fof(f489,definition,
    ( spl0_77
  <=> c1_1(a654) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f491,plain,
    ( ~ spl0_23
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f111,f489,f258]) ).

fof(f493,definition,
    ( spl0_78
  <=> c0_1(a654) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f494,plain,
    ( ~ c0_1(a654)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f495,plain,
    ( ~ spl0_23
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f110,f493,f258]) ).

fof(f498,definition,
    ( spl0_79
  <=> c1_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f500,plain,
    ( ~ spl0_31
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f109,f498,f290]) ).

fof(f503,definition,
    ( spl0_80
  <=> c3_1(a657) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f505,plain,
    ( ~ spl0_21
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f108,f503,f251]) ).

fof(f508,definition,
    ( spl0_81
  <=> c2_1(a660) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f510,plain,
    ( ~ spl0_34
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f107,f508,f302]) ).

fof(f512,definition,
    ( spl0_82
  <=> c1_1(a660) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f514,plain,
    ( ~ spl0_34
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f106,f512,f302]) ).

fof(f517,definition,
    ( spl0_83
  <=> c3_1(a661) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f519,plain,
    ( ~ spl0_58
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f105,f517,f402]) ).

fof(f521,definition,
    ( spl0_84
  <=> c1_1(a661) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f523,plain,
    ( ~ spl0_58
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f104,f521,f402]) ).

fof(f526,definition,
    ( spl0_85
  <=> c1_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f528,plain,
    ( ~ spl0_55
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f103,f526,f387]) ).

fof(f530,definition,
    ( spl0_86
  <=> c0_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f531,plain,
    ( ~ c0_1(a665)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f532,plain,
    ( ~ spl0_55
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f102,f530,f387]) ).

fof(f535,definition,
    ( spl0_87
  <=> c2_1(a667) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f536,plain,
    ( ~ c2_1(a667)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f537,plain,
    ( ~ spl0_45
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f101,f535,f344]) ).

fof(f539,definition,
    ( spl0_88
  <=> c0_1(a667) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f540,plain,
    ( ~ c0_1(a667)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f541,plain,
    ( ~ spl0_45
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f100,f539,f344]) ).

fof(f544,definition,
    ( spl0_89
  <=> c3_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f546,plain,
    ( ~ spl0_56
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f99,f544,f394]) ).

fof(f548,definition,
    ( spl0_90
  <=> c2_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f549,plain,
    ( ~ c2_1(a672)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f550,plain,
    ( ~ spl0_56
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f98,f548,f394]) ).

fof(f553,definition,
    ( spl0_91
  <=> c3_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f555,plain,
    ( ~ spl0_51
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f97,f553,f370]) ).

fof(f557,definition,
    ( spl0_92
  <=> c1_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f559,plain,
    ( ~ spl0_51
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f96,f557,f370]) ).

fof(f562,definition,
    ( spl0_93
  <=> c2_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f564,plain,
    ( ~ spl0_52
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f95,f562,f375]) ).

fof(f567,definition,
    ( spl0_94
  <=> c2_1(a682) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f568,plain,
    ( ~ c2_1(a682)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f569,plain,
    ( ~ spl0_50
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f94,f567,f367]) ).

fof(f571,definition,
    ( spl0_95
  <=> c1_1(a682) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f573,plain,
    ( ~ spl0_50
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f93,f571,f367]) ).

fof(f581,definition,
    ( spl0_97
  <=> c3_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f583,plain,
    ( ~ spl0_49
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f91,f581,f363]) ).

fof(f585,definition,
    ( spl0_98
  <=> c1_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f587,plain,
    ( ~ spl0_49
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f90,f585,f363]) ).

fof(f589,definition,
    ( spl0_99
  <=> c0_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f590,plain,
    ( ~ c0_1(a691)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f591,plain,
    ( ~ spl0_49
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f89,f589,f363]) ).

fof(f594,definition,
    ( spl0_100
  <=> c0_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f595,plain,
    ( ~ c0_1(a693)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f596,plain,
    ( ~ spl0_48
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f88,f594,f359]) ).

fof(f599,definition,
    ( spl0_101
  <=> c3_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f601,plain,
    ( ~ spl0_42
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f87,f599,f333]) ).

fof(f603,definition,
    ( spl0_102
  <=> c0_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f604,plain,
    ( ~ c0_1(a695)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f605,plain,
    ( ~ spl0_42
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f86,f603,f333]) ).

fof(f617,definition,
    ( spl0_105
  <=> c3_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f619,plain,
    ( ~ spl0_41
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f83,f617,f330]) ).

fof(f621,definition,
    ( spl0_106
  <=> c2_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f622,plain,
    ( ~ c2_1(a710)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f623,plain,
    ( ~ spl0_41
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f82,f621,f330]) ).

fof(f625,definition,
    ( spl0_107
  <=> c0_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f626,plain,
    ( ~ c0_1(a710)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f627,plain,
    ( ~ spl0_41
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f81,f625,f330]) ).

fof(f629,definition,
    ( spl0_108
  <=> c3_1(a641) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f631,plain,
    ( spl0_108
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f80,f408,f629]) ).

fof(f633,definition,
    ( spl0_109
  <=> c2_1(a641) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f634,plain,
    ( c2_1(a641)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f635,plain,
    ( spl0_109
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f79,f408,f633]) ).

fof(f637,definition,
    ( spl0_110
  <=> c3_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f639,plain,
    ( spl0_110
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f78,f321,f637]) ).

fof(f641,definition,
    ( spl0_111
  <=> c0_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f642,plain,
    ( c0_1(a642)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f643,plain,
    ( spl0_111
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f77,f321,f641]) ).

fof(f645,definition,
    ( spl0_112
  <=> c2_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f646,plain,
    ( c2_1(a643)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f647,plain,
    ( spl0_112
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f76,f310,f645]) ).

fof(f649,definition,
    ( spl0_113
  <=> c1_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f651,plain,
    ( spl0_113
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f75,f310,f649]) ).

fof(f661,definition,
    ( spl0_116
  <=> c1_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f663,plain,
    ( spl0_116
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f72,f317,f661]) ).

fof(f665,definition,
    ( spl0_117
  <=> c0_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f666,plain,
    ( c0_1(a648)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f667,plain,
    ( spl0_117
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f71,f281,f665]) ).

fof(f669,definition,
    ( spl0_118
  <=> c3_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f671,plain,
    ( spl0_118
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f70,f265,f669]) ).

fof(f673,definition,
    ( spl0_119
  <=> c3_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f675,plain,
    ( spl0_119
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f69,f244,f673]) ).

fof(f677,definition,
    ( spl0_120
  <=> c0_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f678,plain,
    ( c0_1(a652)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f679,plain,
    ( spl0_120
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f68,f244,f677]) ).

fof(f681,definition,
    ( spl0_121
  <=> c2_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f682,plain,
    ( c2_1(a656)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f683,plain,
    ( spl0_121
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f67,f290,f681]) ).

fof(f685,definition,
    ( spl0_122
  <=> c0_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f686,plain,
    ( c0_1(a656)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f687,plain,
    ( spl0_122
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f66,f290,f685]) ).

fof(f689,definition,
    ( spl0_123
  <=> c2_1(a657) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f691,plain,
    ( spl0_123
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f65,f251,f689]) ).

fof(f693,definition,
    ( spl0_124
  <=> c0_1(a657) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f694,plain,
    ( c0_1(a657)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f695,plain,
    ( spl0_124
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f64,f251,f693]) ).

fof(f697,definition,
    ( spl0_125
  <=> c0_1(a660) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f698,plain,
    ( c0_1(a660)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f699,plain,
    ( spl0_125
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f63,f302,f697]) ).

fof(f701,definition,
    ( spl0_126
  <=> c0_1(a661) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f702,plain,
    ( c0_1(a661)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f703,plain,
    ( spl0_126
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f62,f402,f701]) ).

fof(f705,definition,
    ( spl0_127
  <=> c2_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f706,plain,
    ( c2_1(a665)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f707,plain,
    ( spl0_127
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f61,f387,f705]) ).

fof(f709,definition,
    ( spl0_128
  <=> c3_1(a667) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f711,plain,
    ( spl0_128
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f60,f344,f709]) ).

fof(f713,definition,
    ( spl0_129
  <=> c1_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f715,plain,
    ( spl0_129
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f59,f394,f713]) ).

fof(f717,definition,
    ( spl0_130
  <=> c2_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f718,plain,
    ( c2_1(a675)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f719,plain,
    ( spl0_130
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f58,f370,f717]) ).

fof(f721,definition,
    ( spl0_131
  <=> c1_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f723,plain,
    ( spl0_131
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f57,f375,f721]) ).

fof(f725,definition,
    ( spl0_132
  <=> c0_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f726,plain,
    ( c0_1(a676)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f727,plain,
    ( spl0_132
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f56,f375,f725]) ).

fof(f729,definition,
    ( spl0_133
  <=> c3_1(a682) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f731,plain,
    ( spl0_133
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f55,f367,f729]) ).

fof(f733,definition,
    ( spl0_134
  <=> c2_1(a686) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f734,plain,
    ( c2_1(a686)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f735,plain,
    ( spl0_134
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f54,f348,f733]) ).

fof(f737,definition,
    ( spl0_135
  <=> c1_1(a686) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f738,plain,
    ( c1_1(a686)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f739,plain,
    ( spl0_135
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f53,f348,f737]) ).

fof(f741,definition,
    ( spl0_136
  <=> c3_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f743,plain,
    ( spl0_136
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f52,f359,f741]) ).

fof(f745,definition,
    ( spl0_137
  <=> c2_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f746,plain,
    ( c2_1(a693)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f747,plain,
    ( spl0_137
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f51,f359,f745]) ).

fof(f749,definition,
    ( spl0_138
  <=> c2_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f750,plain,
    ( c2_1(a695)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f751,plain,
    ( spl0_138
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f50,f333,f749]) ).

fof(f770,definition,
    ( spl0_143
  <=> c3_1(a655) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f773,plain,
    ( spl0_143
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f45,f285,f770]) ).

fof(f775,definition,
    ( spl0_144
  <=> c2_1(a655) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f776,plain,
    ( c2_1(a655)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f777,plain,
    ( spl0_144
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f44,f285,f775]) ).

fof(f779,definition,
    ( spl0_145
  <=> c0_1(a655) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f780,plain,
    ( c0_1(a655)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f781,plain,
    ( spl0_145
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f43,f285,f779]) ).

fof(f783,definition,
    ( spl0_146
  <=> c2_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f786,plain,
    ( spl0_146
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f42,f382,f783]) ).

fof(f788,definition,
    ( spl0_147
  <=> c1_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f790,plain,
    ( spl0_147
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f41,f382,f788]) ).

fof(f792,definition,
    ( spl0_148
  <=> c0_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f793,plain,
    ( c0_1(a671)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f794,plain,
    ( spl0_148
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f40,f382,f792]) ).

fof(f796,definition,
    ( spl0_149
  <=> c3_1(a688) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f799,plain,
    ( spl0_149
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f39,f337,f796]) ).

fof(f801,definition,
    ( spl0_150
  <=> c2_1(a688) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f802,plain,
    ( c2_1(a688)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f803,plain,
    ( spl0_150
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f38,f337,f801]) ).

fof(f805,definition,
    ( spl0_151
  <=> c1_1(a688) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f807,plain,
    ( spl0_151
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f37,f337,f805]) ).

fof(f809,plain,
    ( spl0_59
    | spl0_47
    | spl0_46 ),
    inference(avatar_split_clause,[],[f35,f348,f354,f408]) ).

fof(f810,plain,
    ( spl0_50
    | spl0_48
    | spl0_36 ),
    inference(avatar_split_clause,[],[f34,f310,f359,f367]) ).

fof(f811,plain,
    ( spl0_51
    | spl0_55
    | spl0_39 ),
    inference(avatar_split_clause,[],[f33,f321,f387,f370]) ).

fof(f812,plain,
    ( spl0_46
    | spl0_36
    | spl0_52 ),
    inference(avatar_split_clause,[],[f32,f375,f310,f348]) ).

fof(f815,plain,
    ( spl0_3
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f30,f408,f188]) ).

fof(f835,plain,
    ( spl0_3
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f10,f348,f188]) ).

fof(f839,plain,
    ( spl0_3
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f6,f354,f188]) ).

fof(f847,plain,
    ( c1_1(a665)
    | ~ c3_1(a665)
    | ~ spl0_2
    | ~ spl0_127 ),
    inference(resolution,[],[f186,f706]) ).

fof(f849,definition,
    ( spl0_152
  <=> c3_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f862,definition,
    ( spl0_153
  <=> c3_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f867,plain,
    ( c3_1(a665)
    | c1_1(a665)
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(resolution,[],[f200,f706]) ).

fof(f902,plain,
    ( ~ spl0_152
    | spl0_85
    | ~ spl0_2
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f847,f705,f185,f526,f849]) ).

fof(f909,plain,
    ( c1_1(a641)
    | ~ c3_1(a641)
    | ~ spl0_2
    | ~ spl0_109 ),
    inference(resolution,[],[f186,f634]) ).

fof(f910,plain,
    ( ~ spl0_108
    | spl0_62
    | ~ spl0_2
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f909,f633,f185,f420,f629]) ).

fof(f921,definition,
    ( spl0_154
  <=> c3_1(a654) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f928,definition,
    ( spl0_155
  <=> c1_1(a667) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f949,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f224,f228]) ).

fof(f952,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f949]) ).

fof(f953,plain,
    ( spl0_15
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f952,f227,f223,f230]) ).

fof(f956,definition,
    ( spl0_156
  <=> c2_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f957,plain,
    ( c2_1(a642)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f961,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(resolution,[],[f238,f213]) ).

fof(f964,plain,
    ( c3_1(a665)
    | c1_1(a665)
    | ~ spl0_17
    | spl0_86 ),
    inference(resolution,[],[f238,f531]) ).

fof(f966,plain,
    ( c3_1(a654)
    | c1_1(a654)
    | ~ spl0_17
    | spl0_78 ),
    inference(resolution,[],[f238,f494]) ).

fof(f967,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f961]) ).

fof(f969,plain,
    ( spl0_85
    | spl0_152
    | ~ spl0_17
    | spl0_86 ),
    inference(avatar_split_clause,[],[f964,f530,f237,f849,f526]) ).

fof(f970,plain,
    ( spl0_6
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f967,f237,f212,f199]) ).

fof(f975,plain,
    ( c2_1(a676)
    | ~ c1_1(a676)
    | ~ spl0_7
    | ~ spl0_132 ),
    inference(resolution,[],[f203,f726]) ).

fof(f981,plain,
    ( ~ spl0_131
    | spl0_93
    | ~ spl0_7
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f975,f725,f202,f562,f721]) ).

fof(f985,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(resolution,[],[f241,f213]) ).

fof(f992,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f985]) ).

fof(f995,definition,
    ( spl0_157
  <=> c2_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f996,plain,
    ( ~ c2_1(a651)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f995]) ).

fof(f1001,plain,
    ( spl0_6
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f992,f240,f212,f199]) ).

fof(f1004,plain,
    ( c3_1(a647)
    | ~ c1_1(a647)
    | ~ spl0_12
    | spl0_70 ),
    inference(resolution,[],[f458,f221]) ).

fof(f1007,plain,
    ( ~ spl0_116
    | spl0_69
    | ~ spl0_12
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1004,f457,f220,f453,f661]) ).

fof(f1009,definition,
    ( spl0_158
  <=> c2_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1012,plain,
    ( c2_1(a648)
    | ~ c1_1(a648)
    | ~ spl0_7
    | ~ spl0_117 ),
    inference(resolution,[],[f666,f203]) ).

fof(f1016,definition,
    ( spl0_159
  <=> c1_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1019,plain,
    ( ~ spl0_159
    | spl0_72
    | ~ spl0_7
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1012,f665,f202,f466,f1016]) ).

fof(f1022,definition,
    ( spl0_160
  <=> c1_1(a655) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1034,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f183,f196]) ).

fof(f1040,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(duplicate_literal_removal,[],[f1034]) ).

fof(f1043,plain,
    ( ~ c2_1(a647)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1074,plain,
    ( c2_1(a660)
    | c1_1(a660)
    | ~ spl0_13
    | ~ spl0_125 ),
    inference(resolution,[],[f224,f698]) ).

fof(f1090,plain,
    ( c3_1(a646)
    | c1_1(a646)
    | ~ spl0_15
    | spl0_67 ),
    inference(resolution,[],[f231,f445]) ).

fof(f1096,definition,
    ( spl0_162
  <=> c1_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1124,plain,
    ( ~ c3_1(a688)
    | ~ c1_1(a688)
    | ~ spl0_4
    | ~ spl0_150 ),
    inference(resolution,[],[f192,f802]) ).

fof(f1130,plain,
    ( ~ c3_1(a643)
    | ~ c1_1(a643)
    | ~ spl0_4
    | ~ spl0_112 ),
    inference(resolution,[],[f192,f646]) ).

fof(f1163,plain,
    ( ~ c1_1(a667)
    | ~ c3_1(a667)
    | ~ spl0_20
    | spl0_87 ),
    inference(resolution,[],[f248,f536]) ).

fof(f1176,plain,
    ( c3_1(a648)
    | c2_1(a648)
    | ~ spl0_22
    | ~ spl0_117 ),
    inference(resolution,[],[f255,f666]) ).

fof(f1212,plain,
    ( ~ c1_1(a686)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_134 ),
    inference(resolution,[],[f1040,f734]) ).

fof(f1216,plain,
    ( ~ c1_1(a643)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_112 ),
    inference(resolution,[],[f1040,f646]) ).

fof(f1220,plain,
    ( ~ spl0_113
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1216,f645,f195,f182,f649]) ).

fof(f1228,definition,
    ( spl0_164
  <=> c1_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1250,plain,
    ( c2_1(a667)
    | ~ c3_1(a667)
    | ~ spl0_32
    | spl0_88 ),
    inference(resolution,[],[f294,f540]) ).

fof(f1252,plain,
    ( c2_1(a651)
    | ~ c3_1(a651)
    | ~ spl0_32
    | spl0_74 ),
    inference(resolution,[],[f294,f476]) ).

fof(f1255,plain,
    ( c2_1(a654)
    | ~ c3_1(a654)
    | ~ spl0_32
    | spl0_78 ),
    inference(resolution,[],[f294,f494]) ).

fof(f1259,plain,
    ( ~ spl0_118
    | spl0_157
    | ~ spl0_32
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1252,f475,f293,f995,f669]) ).

fof(f1260,plain,
    ( ~ spl0_128
    | spl0_87
    | ~ spl0_32
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1250,f539,f293,f535,f709]) ).

fof(f1267,plain,
    ( c2_1(a652)
    | ~ c3_1(a652)
    | ~ spl0_33
    | ~ spl0_120 ),
    inference(resolution,[],[f298,f678]) ).

fof(f1269,plain,
    ( c2_1(a642)
    | ~ c3_1(a642)
    | ~ spl0_33
    | ~ spl0_111 ),
    inference(resolution,[],[f298,f642]) ).

fof(f1273,plain,
    ( ~ spl0_119
    | spl0_75
    | ~ spl0_33
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1267,f677,f297,f480,f673]) ).

fof(f1280,plain,
    ( ~ c3_1(a682)
    | c1_1(a682)
    | ~ spl0_35
    | spl0_94 ),
    inference(resolution,[],[f307,f568]) ).

fof(f1284,plain,
    ( ~ c3_1(a651)
    | c1_1(a651)
    | ~ spl0_35
    | spl0_157 ),
    inference(resolution,[],[f307,f996]) ).

fof(f1288,plain,
    ( ~ c3_1(a654)
    | c1_1(a654)
    | ~ spl0_35
    | spl0_76 ),
    inference(resolution,[],[f307,f486]) ).

fof(f1303,plain,
    ( c3_1(a672)
    | ~ c1_1(a672)
    | ~ spl0_37
    | spl0_90 ),
    inference(resolution,[],[f314,f549]) ).

fof(f1309,plain,
    ( c3_1(a647)
    | ~ c1_1(a647)
    | ~ spl0_37
    | spl0_158 ),
    inference(resolution,[],[f314,f1043]) ).

fof(f1310,plain,
    ( c3_1(a710)
    | ~ c1_1(a710)
    | ~ spl0_37
    | spl0_106 ),
    inference(resolution,[],[f314,f622]) ).

fof(f1334,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_28 ),
    inference(resolution,[],[f196,f278]) ).

fof(f1345,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f1334]) ).

fof(f1351,plain,
    ( c1_1(a667)
    | ~ c3_1(a667)
    | ~ spl0_27
    | spl0_88 ),
    inference(resolution,[],[f273,f540]) ).

fof(f1353,plain,
    ( c1_1(a651)
    | ~ c3_1(a651)
    | ~ spl0_27
    | spl0_74 ),
    inference(resolution,[],[f273,f476]) ).

fof(f1357,plain,
    ( c1_1(a654)
    | ~ c3_1(a654)
    | ~ spl0_27
    | spl0_78 ),
    inference(resolution,[],[f273,f494]) ).

fof(f1359,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(resolution,[],[f1212,f738]) ).

fof(f1360,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1359]) ).

fof(f1363,plain,
    ( spl0_72
    | spl0_71
    | ~ spl0_22
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1176,f665,f254,f462,f466]) ).

fof(f1373,plain,
    ( c3_1(a648)
    | c1_1(a648)
    | ~ spl0_8
    | ~ spl0_117 ),
    inference(resolution,[],[f207,f666]) ).

fof(f1376,plain,
    ( spl0_159
    | spl0_71
    | ~ spl0_8
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1373,f665,f206,f462,f1016]) ).

fof(f1378,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(resolution,[],[f241,f207]) ).

fof(f1388,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f1378]) ).

fof(f1394,plain,
    ( spl0_6
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1388,f240,f206,f199]) ).

fof(f1398,plain,
    ( ~ spl0_116
    | spl0_69
    | ~ spl0_12
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1004,f457,f220,f453,f661]) ).

fof(f1400,plain,
    ( ~ spl0_129
    | spl0_89
    | ~ spl0_37
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1303,f548,f313,f544,f713]) ).

fof(f1402,plain,
    ( ~ spl0_162
    | spl0_105
    | ~ spl0_37
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1310,f621,f313,f617,f1096]) ).

fof(f1416,plain,
    ( ~ spl0_154
    | spl0_76
    | ~ spl0_32
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1255,f493,f293,f485,f921]) ).

fof(f1420,plain,
    ( spl0_4
    | ~ spl0_5
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1345,f277,f195,f191]) ).

fof(f1422,plain,
    ( ~ spl0_116
    | spl0_69
    | ~ spl0_37
    | spl0_158 ),
    inference(avatar_split_clause,[],[f1309,f1009,f313,f453,f661]) ).

fof(f1427,plain,
    ( c1_1(a695)
    | ~ c2_1(a695)
    | ~ spl0_18
    | spl0_102 ),
    inference(resolution,[],[f604,f241]) ).

fof(f1432,definition,
    ( spl0_166
  <=> c1_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1434,plain,
    ( ~ spl0_138
    | spl0_166
    | ~ spl0_18
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1427,f603,f240,f1432,f749]) ).

fof(f1463,plain,
    ( ~ c2_1(a671)
    | ~ c1_1(a671)
    | ~ spl0_5
    | ~ spl0_148 ),
    inference(resolution,[],[f196,f793]) ).

fof(f1473,plain,
    ( ~ spl0_147
    | ~ spl0_146
    | ~ spl0_5
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1463,f792,f195,f783,f788]) ).

fof(f1476,plain,
    ( spl0_82
    | spl0_81
    | ~ spl0_13
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1074,f697,f223,f508,f512]) ).

fof(f1481,plain,
    ( spl0_77
    | spl0_154
    | ~ spl0_17
    | spl0_78 ),
    inference(avatar_split_clause,[],[f966,f493,f237,f921,f489]) ).

fof(f1493,plain,
    ( ~ c1_1(a695)
    | ~ c2_1(a695)
    | ~ spl0_1
    | spl0_102 ),
    inference(resolution,[],[f183,f604]) ).

fof(f1513,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(resolution,[],[f210,f278]) ).

fof(f1515,plain,
    ( c1_1(a655)
    | ~ c2_1(a655)
    | ~ spl0_9
    | ~ spl0_145 ),
    inference(resolution,[],[f210,f780]) ).

fof(f1519,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f1513]) ).

fof(f1527,plain,
    ( c3_1(a695)
    | ~ c1_1(a695)
    | ~ spl0_12
    | spl0_102 ),
    inference(resolution,[],[f221,f604]) ).

fof(f1543,definition,
    ( spl0_169
  <=> c2_1(a661) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1563,plain,
    ( c2_1(a661)
    | c1_1(a661)
    | ~ spl0_13
    | ~ spl0_126 ),
    inference(resolution,[],[f224,f702]) ).

fof(f1565,plain,
    ( c2_1(a652)
    | c1_1(a652)
    | ~ spl0_13
    | ~ spl0_120 ),
    inference(resolution,[],[f224,f678]) ).

fof(f1568,plain,
    ( spl0_164
    | spl0_75
    | ~ spl0_13
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1565,f677,f223,f480,f1228]) ).

fof(f1570,plain,
    ( spl0_84
    | spl0_169
    | ~ spl0_13
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1563,f701,f223,f1543,f521]) ).

fof(f1571,plain,
    ( ~ spl0_138
    | ~ spl0_166
    | ~ spl0_1
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1493,f603,f182,f1432,f749]) ).

fof(f1573,plain,
    ( spl0_85
    | spl0_152
    | ~ spl0_6
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f867,f705,f199,f849,f526]) ).

fof(f1576,plain,
    ( ~ spl0_166
    | spl0_101
    | ~ spl0_12
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1527,f603,f220,f599,f1432]) ).

fof(f1581,plain,
    ( spl0_2
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1519,f277,f209,f185]) ).

fof(f1585,plain,
    ( c1_1(a656)
    | ~ c2_1(a656)
    | ~ spl0_9
    | ~ spl0_122 ),
    inference(resolution,[],[f686,f210]) ).

fof(f1588,plain,
    ( ~ spl0_121
    | spl0_79
    | ~ spl0_9
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1585,f685,f209,f498,f681]) ).

fof(f1600,plain,
    ( ~ spl0_154
    | spl0_77
    | ~ spl0_27
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1357,f493,f272,f489,f921]) ).

fof(f1602,plain,
    ( ~ spl0_128
    | spl0_155
    | ~ spl0_27
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1351,f539,f272,f928,f709]) ).

fof(f1603,plain,
    ( ~ spl0_118
    | spl0_73
    | ~ spl0_27
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1353,f475,f272,f471,f669]) ).

fof(f1609,plain,
    ( c2_1(a642)
    | c1_1(a642)
    | ~ spl0_13
    | ~ spl0_111 ),
    inference(resolution,[],[f642,f224]) ).

fof(f1610,plain,
    ( spl0_63
    | spl0_156
    | ~ spl0_13
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1609,f641,f223,f956,f425]) ).

fof(f1623,definition,
    ( spl0_170
  <=> c3_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1630,plain,
    ( c3_1(a695)
    | c1_1(a695)
    | ~ spl0_6
    | ~ spl0_138 ),
    inference(resolution,[],[f200,f750]) ).

fof(f1632,plain,
    ( c3_1(a675)
    | c1_1(a675)
    | ~ spl0_6
    | ~ spl0_130 ),
    inference(resolution,[],[f200,f718]) ).

fof(f1656,plain,
    ( c3_1(a656)
    | c1_1(a656)
    | ~ spl0_8
    | ~ spl0_122 ),
    inference(resolution,[],[f207,f686]) ).

fof(f1658,plain,
    ( spl0_79
    | spl0_170
    | ~ spl0_8
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1656,f685,f206,f1623,f498]) ).

fof(f1666,plain,
    ( ~ spl0_113
    | ~ spl0_153
    | ~ spl0_4
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1130,f645,f191,f862,f649]) ).

fof(f1668,plain,
    ( spl0_95
    | ~ spl0_133
    | ~ spl0_35
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1280,f567,f306,f729,f571]) ).

fof(f1671,plain,
    ( spl0_73
    | ~ spl0_118
    | ~ spl0_35
    | spl0_157 ),
    inference(avatar_split_clause,[],[f1284,f995,f306,f669,f471]) ).

fof(f1683,plain,
    ( ~ spl0_129
    | spl0_89
    | ~ spl0_37
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1303,f548,f313,f544,f713]) ).

fof(f1709,plain,
    ( ~ c2_1(a655)
    | ~ c1_1(a655)
    | ~ spl0_5
    | ~ spl0_145 ),
    inference(resolution,[],[f196,f780]) ).

fof(f1718,plain,
    ( ~ spl0_160
    | ~ spl0_144
    | ~ spl0_5
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1709,f779,f195,f775,f1022]) ).

fof(f1723,plain,
    ( c3_1(a657)
    | ~ c2_1(a657)
    | ~ spl0_10
    | ~ spl0_124 ),
    inference(resolution,[],[f213,f694]) ).

fof(f1725,plain,
    ( ~ spl0_123
    | spl0_80
    | ~ spl0_10
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1723,f693,f212,f503,f689]) ).

fof(f1736,plain,
    ( spl0_166
    | spl0_101
    | ~ spl0_6
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1630,f749,f199,f599,f1432]) ).

fof(f1743,plain,
    ( ~ spl0_110
    | spl0_156
    | ~ spl0_33
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1269,f641,f297,f956,f637]) ).

fof(f1755,definition,
    ( spl0_172
  <=> c1_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1760,plain,
    ( c1_1(a693)
    | ~ c3_1(a693)
    | ~ spl0_2
    | ~ spl0_137 ),
    inference(resolution,[],[f186,f746]) ).

fof(f1763,plain,
    ( c1_1(a656)
    | ~ c3_1(a656)
    | ~ spl0_2
    | ~ spl0_121 ),
    inference(resolution,[],[f186,f682]) ).

fof(f1767,plain,
    ( ~ spl0_170
    | spl0_79
    | ~ spl0_2
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1763,f681,f185,f498,f1623]) ).

fof(f1770,plain,
    ( ~ spl0_136
    | spl0_172
    | ~ spl0_2
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1760,f745,f185,f1755,f741]) ).

fof(f1773,plain,
    ( spl0_77
    | ~ spl0_154
    | ~ spl0_35
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1288,f485,f306,f921,f489]) ).

fof(f1795,plain,
    ( c3_1(a643)
    | ~ c1_1(a643)
    | ~ spl0_12
    | spl0_64 ),
    inference(resolution,[],[f221,f431]) ).

fof(f1802,plain,
    ( ~ spl0_113
    | spl0_153
    | ~ spl0_12
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1795,f430,f220,f862,f649]) ).

fof(f1827,plain,
    ( c1_1(a642)
    | ~ c3_1(a642)
    | ~ spl0_2
    | ~ spl0_156 ),
    inference(resolution,[],[f957,f186]) ).

fof(f1828,plain,
    ( ~ spl0_110
    | spl0_63
    | ~ spl0_2
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1827,f956,f185,f425,f637]) ).

fof(f1836,plain,
    ( ~ spl0_144
    | spl0_160
    | ~ spl0_9
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1515,f779,f209,f1022,f775]) ).

fof(f1840,plain,
    ( spl0_68
    | spl0_66
    | ~ spl0_15
    | spl0_67 ),
    inference(avatar_split_clause,[],[f1090,f444,f230,f440,f448]) ).

fof(f1864,plain,
    ( c1_1(a651)
    | ~ c2_1(a651)
    | ~ spl0_18
    | spl0_74 ),
    inference(resolution,[],[f476,f241]) ).

fof(f1865,plain,
    ( ~ spl0_157
    | spl0_73
    | ~ spl0_18
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1864,f475,f240,f471,f995]) ).

fof(f1867,plain,
    ( c2_1(a652)
    | ~ c1_1(a652)
    | ~ spl0_7
    | ~ spl0_120 ),
    inference(resolution,[],[f678,f203]) ).

fof(f1868,plain,
    ( ~ spl0_164
    | spl0_75
    | ~ spl0_7
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1867,f677,f202,f480,f1228]) ).

fof(f1871,plain,
    ( c1_1(a655)
    | ~ c3_1(a655)
    | ~ spl0_2
    | ~ spl0_144 ),
    inference(resolution,[],[f776,f186]) ).

fof(f1872,plain,
    ( ~ spl0_143
    | spl0_160
    | ~ spl0_2
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1871,f775,f185,f1022,f770]) ).

fof(f1878,plain,
    ( ~ c1_1(a693)
    | ~ c2_1(a693)
    | ~ spl0_1
    | spl0_100 ),
    inference(resolution,[],[f183,f595]) ).

fof(f1880,plain,
    ( ~ c1_1(a647)
    | ~ c2_1(a647)
    | ~ spl0_1
    | spl0_70 ),
    inference(resolution,[],[f183,f458]) ).

fof(f1881,plain,
    ( ~ c1_1(a643)
    | ~ c2_1(a643)
    | ~ spl0_1
    | spl0_64 ),
    inference(resolution,[],[f183,f431]) ).

fof(f1887,plain,
    ( ~ spl0_112
    | ~ spl0_113
    | ~ spl0_1
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1881,f430,f182,f649,f645]) ).

fof(f1888,plain,
    ( ~ spl0_158
    | ~ spl0_116
    | ~ spl0_1
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1880,f457,f182,f661,f1009]) ).

fof(f1889,plain,
    ( ~ spl0_137
    | ~ spl0_172
    | ~ spl0_1
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1878,f594,f182,f1755,f745]) ).

fof(f1891,plain,
    ( ~ spl0_151
    | ~ spl0_149
    | ~ spl0_4
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1124,f801,f191,f796,f805]) ).

fof(f1900,plain,
    ( spl0_92
    | spl0_91
    | ~ spl0_6
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1632,f717,f199,f553,f557]) ).

fof(f1925,plain,
    ( ~ spl0_128
    | ~ spl0_155
    | ~ spl0_20
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1163,f535,f247,f928,f709]) ).

fof(f1960,plain,
    ( c3_1(a661)
    | c1_1(a661)
    | ~ spl0_8
    | ~ spl0_126 ),
    inference(resolution,[],[f207,f702]) ).

fof(f1966,plain,
    ( spl0_84
    | spl0_83
    | ~ spl0_8
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1960,f701,f206,f517,f521]) ).

fof(f1981,plain,
    ( c3_1(a661)
    | ~ c2_1(a661)
    | ~ spl0_10
    | ~ spl0_126 ),
    inference(resolution,[],[f213,f702]) ).

fof(f1987,plain,
    ( ~ spl0_169
    | spl0_83
    | ~ spl0_10
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1981,f701,f212,f517,f1543]) ).

fof(f2017,plain,
    ( c3_1(a710)
    | c1_1(a710)
    | ~ spl0_17
    | spl0_107 ),
    inference(resolution,[],[f238,f626]) ).

fof(f2018,plain,
    ( c3_1(a691)
    | c1_1(a691)
    | ~ spl0_17
    | spl0_99 ),
    inference(resolution,[],[f238,f590]) ).

fof(f2023,plain,
    ( spl0_98
    | spl0_97
    | ~ spl0_17
    | spl0_99 ),
    inference(avatar_split_clause,[],[f2018,f589,f237,f581,f585]) ).

fof(f2024,plain,
    ( spl0_162
    | spl0_105
    | ~ spl0_17
    | spl0_107 ),
    inference(avatar_split_clause,[],[f2017,f625,f237,f617,f1096]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f193]) ).

cnf(s2,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_5 ),
    inference(sat_conversion,[],[f197]) ).

cnf(s3,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f204]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f214]) ).

cnf(s6,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f225]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f242]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_8
    | spl0_25 ),
    inference(sat_conversion,[],[f267]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_19
    | spl0_27 ),
    inference(sat_conversion,[],[f275]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_25
    | spl0_28 ),
    inference(sat_conversion,[],[f279]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_20
    | spl0_29 ),
    inference(sat_conversion,[],[f283]) ).

cnf(s17,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_12
    | spl0_30 ),
    inference(sat_conversion,[],[f287]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f295]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_22 ),
    inference(sat_conversion,[],[f300]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_32
    | spl0_35 ),
    inference(sat_conversion,[],[f308]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f315]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_18
    | spl0_38 ),
    inference(sat_conversion,[],[f319]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_28
    | spl0_39 ),
    inference(sat_conversion,[],[f323]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_14
    | spl0_23 ),
    inference(sat_conversion,[],[f328]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f335]) ).

cnf(s31,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_23
    | spl0_45 ),
    inference(sat_conversion,[],[f346]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_39
    | spl0_43 ),
    inference(sat_conversion,[],[f351]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_33
    | spl0_38
    | spl0_42 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_33
    | spl0_49 ),
    inference(sat_conversion,[],[f365]) ).

cnf(s39,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_50
    | spl0_51 ),
    inference(sat_conversion,[],[f372]) ).

cnf(s40,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_25
    | spl0_51 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s44,plain,
    ( ~ spl0_3
    | spl0_28
    | spl0_40
    | spl0_55 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_22
    | spl0_50 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_35
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_34
    | spl0_58 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_29
    | spl0_36 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_36
    | spl0_59 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s55,plain,
    ( ~ spl0_59
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f422]) ).

cnf(s56,plain,
    ( ~ spl0_39
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s57,plain,
    ( ~ spl0_36
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s59,plain,
    ( ~ spl0_40
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s60,plain,
    ( ~ spl0_40
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s61,plain,
    ( ~ spl0_40
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f450]) ).

cnf(s62,plain,
    ( ~ spl0_38
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f455]) ).

cnf(s63,plain,
    ( ~ spl0_38
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s64,plain,
    ( ~ spl0_29
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s65,plain,
    ( ~ spl0_29
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s66,plain,
    ( ~ spl0_25
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s67,plain,
    ( ~ spl0_25
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s68,plain,
    ( ~ spl0_19
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s69,plain,
    ( ~ spl0_23
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f487]) ).

cnf(s70,plain,
    ( ~ spl0_23
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s71,plain,
    ( ~ spl0_23
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s72,plain,
    ( ~ spl0_31
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s73,plain,
    ( ~ spl0_21
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s74,plain,
    ( ~ spl0_34
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s75,plain,
    ( ~ spl0_34
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s76,plain,
    ( ~ spl0_58
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s77,plain,
    ( ~ spl0_58
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s78,plain,
    ( ~ spl0_55
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f528]) ).

cnf(s79,plain,
    ( ~ spl0_55
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s80,plain,
    ( ~ spl0_45
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s81,plain,
    ( ~ spl0_45
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s82,plain,
    ( ~ spl0_56
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s83,plain,
    ( ~ spl0_56
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f550]) ).

cnf(s84,plain,
    ( ~ spl0_51
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s85,plain,
    ( ~ spl0_51
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s86,plain,
    ( ~ spl0_52
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f564]) ).

cnf(s87,plain,
    ( ~ spl0_50
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s88,plain,
    ( ~ spl0_50
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s90,plain,
    ( ~ spl0_49
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s91,plain,
    ( ~ spl0_49
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s92,plain,
    ( ~ spl0_49
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s93,plain,
    ( ~ spl0_48
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s94,plain,
    ( ~ spl0_42
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s95,plain,
    ( ~ spl0_42
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s98,plain,
    ( ~ spl0_41
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f619]) ).

cnf(s99,plain,
    ( ~ spl0_41
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s100,plain,
    ( ~ spl0_41
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s101,plain,
    ( ~ spl0_59
    | spl0_108 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s102,plain,
    ( ~ spl0_59
    | spl0_109 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s103,plain,
    ( ~ spl0_39
    | spl0_110 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s104,plain,
    ( ~ spl0_39
    | spl0_111 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s105,plain,
    ( ~ spl0_36
    | spl0_112 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s106,plain,
    ( ~ spl0_36
    | spl0_113 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s109,plain,
    ( ~ spl0_38
    | spl0_116 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s110,plain,
    ( ~ spl0_29
    | spl0_117 ),
    inference(sat_conversion,[],[f667]) ).

cnf(s111,plain,
    ( ~ spl0_25
    | spl0_118 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s112,plain,
    ( ~ spl0_19
    | spl0_119 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s113,plain,
    ( ~ spl0_19
    | spl0_120 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s114,plain,
    ( ~ spl0_31
    | spl0_121 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s115,plain,
    ( ~ spl0_31
    | spl0_122 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s116,plain,
    ( ~ spl0_21
    | spl0_123 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s117,plain,
    ( ~ spl0_21
    | spl0_124 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s118,plain,
    ( ~ spl0_34
    | spl0_125 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s119,plain,
    ( ~ spl0_58
    | spl0_126 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s120,plain,
    ( ~ spl0_55
    | spl0_127 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s121,plain,
    ( ~ spl0_45
    | spl0_128 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s122,plain,
    ( ~ spl0_56
    | spl0_129 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s123,plain,
    ( ~ spl0_51
    | spl0_130 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s124,plain,
    ( ~ spl0_52
    | spl0_131 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s125,plain,
    ( ~ spl0_52
    | spl0_132 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s126,plain,
    ( ~ spl0_50
    | spl0_133 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s127,plain,
    ( ~ spl0_46
    | spl0_134 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s128,plain,
    ( ~ spl0_46
    | spl0_135 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s129,plain,
    ( ~ spl0_48
    | spl0_136 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s130,plain,
    ( ~ spl0_48
    | spl0_137 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s131,plain,
    ( ~ spl0_42
    | spl0_138 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s136,plain,
    ( ~ spl0_30
    | spl0_143 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s137,plain,
    ( ~ spl0_30
    | spl0_144 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s138,plain,
    ( ~ spl0_30
    | spl0_145 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s139,plain,
    ( ~ spl0_54
    | spl0_146 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s140,plain,
    ( ~ spl0_54
    | spl0_147 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s141,plain,
    ( ~ spl0_54
    | spl0_148 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s142,plain,
    ( ~ spl0_43
    | spl0_149 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s143,plain,
    ( ~ spl0_43
    | spl0_150 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s144,plain,
    ( ~ spl0_43
    | spl0_151 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s146,plain,
    ( spl0_46
    | spl0_47
    | spl0_59 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s147,plain,
    ( spl0_36
    | spl0_48
    | spl0_50 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s148,plain,
    ( spl0_39
    | spl0_51
    | spl0_55 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s149,plain,
    ( spl0_36
    | spl0_46
    | spl0_52 ),
    inference(sat_conversion,[],[f812]) ).

cnf(s151,plain,
    ( spl0_3
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s171,plain,
    ( spl0_3
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f835]) ).

cnf(s175,plain,
    ( spl0_3
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s192,plain,
    ( ~ spl0_2
    | spl0_85
    | ~ spl0_127
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f902]) ).

cnf(s193,plain,
    ( ~ spl0_2
    | spl0_62
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s200,plain,
    ( ~ spl0_13
    | ~ spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s203,plain,
    ( ~ spl0_17
    | spl0_85
    | spl0_86
    | spl0_152 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s204,plain,
    ( spl0_6
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f970]) ).

cnf(s207,plain,
    ( ~ spl0_7
    | spl0_93
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f981]) ).

cnf(s214,plain,
    ( spl0_6
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1001]) ).

cnf(s215,plain,
    ( ~ spl0_12
    | spl0_69
    | spl0_70
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s217,plain,
    ( ~ spl0_7
    | spl0_72
    | ~ spl0_117
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s265,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1220]) ).

cnf(s269,plain,
    ( ~ spl0_32
    | spl0_74
    | ~ spl0_118
    | spl0_157 ),
    inference(sat_conversion,[],[f1259]) ).

cnf(s270,plain,
    ( ~ spl0_32
    | spl0_87
    | spl0_88
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1260]) ).

cnf(s271,plain,
    ( ~ spl0_33
    | spl0_75
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1273]) ).

cnf(s285,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1360]) ).

cnf(s288,plain,
    ( ~ spl0_22
    | spl0_71
    | spl0_72
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1363]) ).

cnf(s290,plain,
    ( ~ spl0_8
    | spl0_71
    | ~ spl0_117
    | spl0_159 ),
    inference(sat_conversion,[],[f1376]) ).

cnf(s293,plain,
    ( spl0_6
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1394]) ).

cnf(s299,plain,
    ( ~ spl0_12
    | spl0_69
    | spl0_70
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1398]) ).

cnf(s302,plain,
    ( ~ spl0_37
    | spl0_89
    | spl0_90
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1400]) ).

cnf(s304,plain,
    ( ~ spl0_37
    | spl0_105
    | spl0_106
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1402]) ).

cnf(s318,plain,
    ( ~ spl0_32
    | spl0_76
    | spl0_78
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1416]) ).

cnf(s322,plain,
    ( spl0_4
    | ~ spl0_5
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f1420]) ).

cnf(s324,plain,
    ( ~ spl0_37
    | spl0_69
    | ~ spl0_116
    | spl0_158 ),
    inference(sat_conversion,[],[f1422]) ).

cnf(s329,plain,
    ( ~ spl0_18
    | spl0_102
    | ~ spl0_138
    | spl0_166 ),
    inference(sat_conversion,[],[f1434]) ).

cnf(s334,plain,
    ( ~ spl0_5
    | ~ spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1473]) ).

cnf(s337,plain,
    ( ~ spl0_13
    | spl0_81
    | spl0_82
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1476]) ).

cnf(s342,plain,
    ( ~ spl0_17
    | spl0_77
    | spl0_78
    | spl0_154 ),
    inference(sat_conversion,[],[f1481]) ).

cnf(s366,plain,
    ( ~ spl0_13
    | spl0_75
    | ~ spl0_120
    | spl0_164 ),
    inference(sat_conversion,[],[f1568]) ).

cnf(s367,plain,
    ( ~ spl0_13
    | spl0_84
    | ~ spl0_126
    | spl0_169 ),
    inference(sat_conversion,[],[f1570]) ).

cnf(s368,plain,
    ( ~ spl0_1
    | spl0_102
    | ~ spl0_138
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1571]) ).

cnf(s370,plain,
    ( ~ spl0_6
    | spl0_85
    | ~ spl0_127
    | spl0_152 ),
    inference(sat_conversion,[],[f1573]) ).

cnf(s373,plain,
    ( ~ spl0_12
    | spl0_101
    | spl0_102
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1576]) ).

cnf(s378,plain,
    ( spl0_2
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f1581]) ).

cnf(s380,plain,
    ( ~ spl0_9
    | spl0_79
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1588]) ).

cnf(s392,plain,
    ( ~ spl0_27
    | spl0_77
    | spl0_78
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1600]) ).

cnf(s394,plain,
    ( ~ spl0_27
    | spl0_88
    | ~ spl0_128
    | spl0_155 ),
    inference(sat_conversion,[],[f1602]) ).

cnf(s395,plain,
    ( ~ spl0_27
    | spl0_73
    | spl0_74
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1603]) ).

cnf(s401,plain,
    ( ~ spl0_13
    | spl0_63
    | ~ spl0_111
    | spl0_156 ),
    inference(sat_conversion,[],[f1610]) ).

cnf(s408,plain,
    ( ~ spl0_8
    | spl0_79
    | ~ spl0_122
    | spl0_170 ),
    inference(sat_conversion,[],[f1658]) ).

cnf(s415,plain,
    ( ~ spl0_4
    | ~ spl0_112
    | ~ spl0_113
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1666]) ).

cnf(s419,plain,
    ( ~ spl0_35
    | spl0_94
    | spl0_95
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1668]) ).

cnf(s422,plain,
    ( ~ spl0_35
    | spl0_73
    | ~ spl0_118
    | spl0_157 ),
    inference(sat_conversion,[],[f1671]) ).

cnf(s436,plain,
    ( ~ spl0_37
    | spl0_89
    | spl0_90
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1683]) ).

cnf(s452,plain,
    ( ~ spl0_5
    | ~ spl0_144
    | ~ spl0_145
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1718]) ).

cnf(s454,plain,
    ( ~ spl0_10
    | spl0_80
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1725]) ).

cnf(s465,plain,
    ( ~ spl0_6
    | spl0_101
    | ~ spl0_138
    | spl0_166 ),
    inference(sat_conversion,[],[f1736]) ).

cnf(s479,plain,
    ( ~ spl0_33
    | ~ spl0_110
    | ~ spl0_111
    | spl0_156 ),
    inference(sat_conversion,[],[f1743]) ).

cnf(s491,plain,
    ( ~ spl0_2
    | spl0_79
    | ~ spl0_121
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1767]) ).

cnf(s493,plain,
    ( ~ spl0_2
    | ~ spl0_136
    | ~ spl0_137
    | spl0_172 ),
    inference(sat_conversion,[],[f1770]) ).

cnf(s497,plain,
    ( ~ spl0_35
    | spl0_76
    | spl0_77
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1773]) ).

cnf(s502,plain,
    ( ~ spl0_12
    | spl0_64
    | ~ spl0_113
    | spl0_153 ),
    inference(sat_conversion,[],[f1802]) ).

cnf(s509,plain,
    ( ~ spl0_2
    | spl0_63
    | ~ spl0_110
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1828]) ).

cnf(s517,plain,
    ( ~ spl0_9
    | ~ spl0_144
    | ~ spl0_145
    | spl0_160 ),
    inference(sat_conversion,[],[f1836]) ).

cnf(s523,plain,
    ( ~ spl0_15
    | spl0_66
    | spl0_67
    | spl0_68 ),
    inference(sat_conversion,[],[f1840]) ).

cnf(s546,plain,
    ( ~ spl0_18
    | spl0_73
    | spl0_74
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1865]) ).

cnf(s547,plain,
    ( ~ spl0_7
    | spl0_75
    | ~ spl0_120
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1868]) ).

cnf(s548,plain,
    ( ~ spl0_2
    | ~ spl0_143
    | ~ spl0_144
    | spl0_160 ),
    inference(sat_conversion,[],[f1872]) ).

cnf(s549,plain,
    ( ~ spl0_1
    | spl0_64
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1887]) ).

cnf(s550,plain,
    ( ~ spl0_1
    | spl0_70
    | ~ spl0_116
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1888]) ).

cnf(s551,plain,
    ( ~ spl0_1
    | spl0_100
    | ~ spl0_137
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1889]) ).

cnf(s553,plain,
    ( ~ spl0_4
    | ~ spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1891]) ).

cnf(s562,plain,
    ( ~ spl0_6
    | spl0_91
    | spl0_92
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1900]) ).

cnf(s593,plain,
    ( ~ spl0_20
    | spl0_87
    | ~ spl0_128
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1925]) ).

cnf(s612,plain,
    ( ~ spl0_8
    | spl0_83
    | spl0_84
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1966]) ).

cnf(s615,plain,
    ( ~ spl0_10
    | spl0_83
    | ~ spl0_126
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1987]) ).

cnf(s622,plain,
    ( ~ spl0_17
    | spl0_97
    | spl0_98
    | spl0_99 ),
    inference(sat_conversion,[],[f2023]) ).

cnf(s623,plain,
    ( ~ spl0_17
    | spl0_105
    | spl0_107
    | spl0_162 ),
    inference(sat_conversion,[],[f2024]) ).

cnf(s624,plain,
    spl0_3,
    inference(rat,[],[s146,s151,s171,s175]) ).

cnf(s625,plain,
    ( ~ spl0_21
    | ~ spl0_10 ),
    inference(rat,[],[s454,s73,s116,s117]) ).

cnf(s626,plain,
    ( ~ spl0_58
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s615,s367,s76,s77,s119]) ).

cnf(s627,plain,
    ( ~ spl0_10
    | spl0_6
    | spl0_1 ),
    inference(rat,[],[s337,s74,s75,s118,s50,s626,s6,s299,s62,s63,s109,s25,s214,s624]) ).

cnf(s628,plain,
    ( ~ spl0_30
    | ~ spl0_9
    | ~ spl0_5 ),
    inference(rat,[],[s452,s517,s137,s138]) ).

cnf(s629,plain,
    ( spl0_157
    | spl0_30
    | spl0_73
    | spl0_74
    | ~ spl0_118 ),
    inference(rat,[],[s23,s422,s269,s624]) ).

cnf(s630,plain,
    ( spl0_8
    | spl0_10
    | spl0_6
    | ~ spl0_5
    | spl0_2 ),
    inference(rat,[],[s62,s299,s63,s109,s25,s546,s629,s17,s628,s66,s67,s111,s15,s378,s4,s624]) ).

cnf(s631,plain,
    ( ~ spl0_58
    | ~ spl0_8 ),
    inference(rat,[],[s612,s76,s77,s119]) ).

cnf(s632,plain,
    ( spl0_6
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s337,s74,s75,s118,s50,s631,s6,s215,s62,s63,s109,s25,s293,s630,s627,s2,s624]) ).

cnf(s633,plain,
    ( spl0_12
    | ~ spl0_10
    | spl0_1 ),
    inference(rat,[],[s337,s74,s75,s118,s50,s626,s6,s624]) ).

cnf(s634,plain,
    ( ~ spl0_51
    | ~ spl0_6 ),
    inference(rat,[],[s562,s84,s85,s123]) ).

cnf(s636,plain,
    ( ~ spl0_36
    | ~ spl0_12
    | ~ spl0_4 ),
    inference(rat,[],[s502,s415,s57,s105,s106]) ).

cnf(s640,plain,
    ( ~ spl0_54
    | ~ spl0_5 ),
    inference(rat,[],[s334,s139,s140,s141]) ).

cnf(s641,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s337,s74,s75,s118,s50,s631,s4,s628,s633,s17,s6,s636,s24,s436,s82,s83,s122,s48,s640,s419,s395,s87,s88,s126,s66,s67,s111,s39,s40,s634,s632,s2,s1,s624]) ).

cnf(s642,plain,
    ( ~ spl0_30
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s548,s452,s136,s137,s138]) ).

cnf(s644,plain,
    ( ~ spl0_55
    | ~ spl0_6
    | ~ spl0_2 ),
    inference(rat,[],[s192,s370,s78,s120]) ).

cnf(s645,plain,
    ( ~ spl0_42
    | ~ spl0_12
    | ~ spl0_6 ),
    inference(rat,[],[s373,s465,s94,s95,s131]) ).

cnf(s646,plain,
    ( ~ spl0_10
    | spl0_1 ),
    inference(rat,[],[s299,s62,s63,s109,s36,s645,s479,s509,s56,s103,s104,s148,s644,s634,s633,s627,s641,s624]) ).

cnf(s647,plain,
    ( ~ spl0_38
    | ~ spl0_12 ),
    inference(rat,[],[s299,s62,s63,s109]) ).

cnf(s648,plain,
    ( ~ spl0_6
    | ~ spl0_12
    | ~ spl0_2 ),
    inference(rat,[],[s509,s479,s56,s103,s104,s36,s148,s645,s644,s634,s647,s624]) ).

cnf(s650,plain,
    ( ~ spl0_42
    | ~ spl0_18
    | ~ spl0_12 ),
    inference(rat,[],[s373,s329,s94,s95,s131]) ).

cnf(s651,plain,
    ( ~ spl0_39
    | ~ spl0_33
    | ~ spl0_2 ),
    inference(rat,[],[s509,s479,s56,s103,s104]) ).

cnf(s652,plain,
    ( ~ spl0_19
    | ~ spl0_33 ),
    inference(rat,[],[s271,s68,s112,s113]) ).

cnf(s653,plain,
    ( spl0_5
    | spl0_19
    | spl0_8 ),
    inference(rat,[],[s395,s66,s67,s111,s14,s12,s624]) ).

cnf(s654,plain,
    ( ~ spl0_12
    | spl0_1 ),
    inference(rat,[],[s629,s546,s66,s67,s111,s15,s322,s642,s653,s652,s553,s142,s143,s144,s33,s651,s36,s650,s293,s25,s648,s647,s641,s646,s624]) ).

cnf(s655,plain,
    ( ~ spl0_39
    | spl0_1 ),
    inference(rat,[],[s401,s509,s56,s103,s104,s641,s6,s654,s624]) ).

cnf(s656,plain,
    ( ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s148,s644,s634,s641,s655]) ).

cnf(s657,plain,
    ( ~ spl0_5
    | ~ spl0_18
    | spl0_1 ),
    inference(rat,[],[s629,s546,s66,s67,s111,s15,s322,s642,s641,s553,s142,s143,s144,s33,s655,s646,s293,s656,s624]) ).

cnf(s658,plain,
    ( ~ spl0_31
    | ~ spl0_9 ),
    inference(rat,[],[s380,s72,s114,s115]) ).

cnf(s659,plain,
    ( ~ spl0_18
    | spl0_1 ),
    inference(rat,[],[s19,s547,s658,s269,s366,s546,s68,s113,s66,s67,s111,s653,s12,s657,s4,s293,s646,s6,s654,s656,s624]) ).

cnf(s660,plain,
    ( ~ spl0_55
    | ~ spl0_17
    | ~ spl0_2 ),
    inference(rat,[],[s192,s203,s78,s79,s120]) ).

cnf(s661,plain,
    ( ~ spl0_23
    | ~ spl0_32
    | ~ spl0_17 ),
    inference(rat,[],[s318,s342,s69,s70,s71]) ).

cnf(s662,plain,
    ( spl0_7
    | spl0_31
    | spl0_1 ),
    inference(rat,[],[s270,s80,s81,s121,s31,s661,s19,s8,s646,s659,s624]) ).

cnf(s664,plain,
    ( ~ spl0_19
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(rat,[],[s366,s547,s68,s113]) ).

cnf(s665,plain,
    ( ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s497,s23,s342,s661,s69,s70,s71,s28,s200,s523,s59,s60,s61,s44,s660,s26,s322,s642,s641,s6,s654,s553,s142,s143,s144,s33,s655,s646,s656,s624]) ).

cnf(s666,plain,
    ( ~ spl0_31
    | spl0_1 ),
    inference(rat,[],[s4,s408,s491,s658,s72,s114,s115,s641,s646,s624]) ).

cnf(s667,plain,
    ( spl0_12
    | spl0_1 ),
    inference(rat,[],[s337,s74,s75,s118,s50,s631,s653,s664,s662,s666,s665,s6,s624]) ).

cnf(s668,plain,
    spl0_1,
    inference(rat,[],[s667,s654]) ).

cnf(s669,plain,
    ( ~ spl0_5
    | spl0_35
    | spl0_27 ),
    inference(rat,[],[s265,s105,s106,s24,s302,s82,s83,s122,s48,s640,s668,s624]) ).

cnf(s670,plain,
    ( ~ spl0_12
    | spl0_33
    | ~ spl0_6 ),
    inference(rat,[],[s36,s645,s647,s624]) ).

cnf(s672,plain,
    ( ~ spl0_49
    | ~ spl0_17 ),
    inference(rat,[],[s622,s90,s91,s92]) ).

cnf(s674,plain,
    ( ~ spl0_42
    | ~ spl0_18 ),
    inference(rat,[],[s329,s368,s95,s131,s668]) ).

cnf(s675,plain,
    ~ spl0_36,
    inference(rat,[],[s549,s57,s105,s106,s668]) ).

cnf(s676,plain,
    ( ~ spl0_38
    | ~ spl0_37 ),
    inference(rat,[],[s550,s324,s62,s63,s109,s668]) ).

cnf(s677,plain,
    ( ~ spl0_42
    | ~ spl0_6 ),
    inference(rat,[],[s465,s368,s94,s95,s131,s668]) ).

cnf(s678,plain,
    ( ~ spl0_46
    | ~ spl0_5 ),
    inference(rat,[],[s285,s127,s128,s668]) ).

cnf(s679,plain,
    ( ~ spl0_25
    | ~ spl0_27 ),
    inference(rat,[],[s395,s66,s67,s111]) ).

cnf(s681,plain,
    ( ~ spl0_2
    | ~ spl0_33
    | ~ spl0_6 ),
    inference(rat,[],[s148,s651,s644,s634]) ).

cnf(s682,plain,
    ( spl0_27
    | spl0_35
    | spl0_19 ),
    inference(rat,[],[s669,s14,s624]) ).

cnf(s683,plain,
    ( spl0_22
    | spl0_19
    | ~ spl0_6 ),
    inference(rat,[],[s193,s55,s101,s102,s53,s672,s38,s681,s40,s679,s682,s419,s625,s87,s88,s126,s21,s47,s634,s624,s675]) ).

cnf(s684,plain,
    ( spl0_2
    | spl0_19
    | spl0_51 ),
    inference(rat,[],[s419,s682,s87,s88,s126,s679,s39,s40,s624]) ).

cnf(s685,plain,
    ( ~ spl0_48
    | ~ spl0_2 ),
    inference(rat,[],[s551,s493,s93,s129,s130,s668]) ).

cnf(s686,plain,
    ( ~ spl0_29
    | ~ spl0_22 ),
    inference(rat,[],[s288,s64,s65,s110]) ).

cnf(s687,plain,
    ( ~ spl0_59
    | ~ spl0_2 ),
    inference(rat,[],[s193,s55,s101,s102]) ).

cnf(s689,plain,
    ( ~ spl0_32
    | spl0_10
    | ~ spl0_17 ),
    inference(rat,[],[s270,s80,s81,s121,s31,s661,s624]) ).

cnf(s692,plain,
    ( ~ spl0_23
    | ~ spl0_17
    | ~ spl0_27 ),
    inference(rat,[],[s392,s342,s70,s71]) ).

cnf(s693,plain,
    ( spl0_19
    | ~ spl0_6 ),
    inference(rat,[],[s593,s394,s80,s81,s121,s31,s692,s625,s38,s672,s53,s687,s16,s686,s24,s676,s36,s681,s648,s684,s683,s634,s677,s624,s675]) ).

cnf(s694,plain,
    ~ spl0_6,
    inference(rat,[],[s593,s394,s16,s80,s81,s121,s686,s31,s21,s625,s38,s692,s672,s53,s687,s40,s679,s24,s676,s36,s670,s652,s693,s677,s634,s624,s675]) ).

cnf(s696,plain,
    ( ~ spl0_18
    | spl0_19
    | spl0_2 ),
    inference(rat,[],[s630,s653,s214,s293,s694]) ).

cnf(s697,plain,
    ( ~ spl0_52
    | ~ spl0_7 ),
    inference(rat,[],[s207,s86,s124,s125]) ).

cnf(s698,plain,
    ( spl0_19
    | spl0_2 ),
    inference(rat,[],[s290,s217,s64,s65,s110,s51,s653,s696,s678,s149,s697,s3,s624,s675,s694]) ).

cnf(s699,plain,
    ( spl0_38
    | spl0_33 ),
    inference(rat,[],[s674,s36,s25,s624,s694]) ).

cnf(s700,plain,
    spl0_2,
    inference(rat,[],[s290,s217,s64,s65,s110,s51,s293,s12,s679,s24,s676,s699,s652,s698,s678,s149,s697,s3,s624,s675,s694]) ).

cnf(s701,plain,
    ~ spl0_48,
    inference(rat,[],[s685,s700]) ).

cnf(s702,plain,
    ~ spl0_59,
    inference(rat,[],[s687,s700]) ).

cnf(s703,plain,
    spl0_50,
    inference(rat,[],[s147,s675,s701]) ).

cnf(s704,plain,
    spl0_17,
    inference(rat,[],[s53,s675,s624,s702]) ).

cnf(s705,plain,
    spl0_133,
    inference(rat,[],[s126,s703]) ).

cnf(s706,plain,
    ~ spl0_95,
    inference(rat,[],[s88,s703]) ).

cnf(s707,plain,
    ~ spl0_94,
    inference(rat,[],[s87,s703]) ).

cnf(s708,plain,
    ~ spl0_10,
    inference(rat,[],[s204,s694,s704]) ).

cnf(s711,plain,
    ~ spl0_35,
    inference(rat,[],[s419,s705,s706,s707]) ).

cnf(s712,plain,
    spl0_22,
    inference(rat,[],[s21,s624,s708]) ).

cnf(s713,plain,
    ~ spl0_32,
    inference(rat,[],[s689,s704,s708]) ).

cnf(s714,plain,
    ~ spl0_29,
    inference(rat,[],[s686,s712]) ).

cnf(s715,plain,
    spl0_30,
    inference(rat,[],[s23,s624,s711,s713]) ).

cnf(s716,plain,
    spl0_18,
    inference(rat,[],[s51,s675,s624,s714]) ).

cnf(s720,plain,
    ~ spl0_5,
    inference(rat,[],[s642,s700,s715]) ).

cnf(s721,plain,
    ~ spl0_8,
    inference(rat,[],[s293,s694,s716]) ).

cnf(s722,plain,
    ~ spl0_42,
    inference(rat,[],[s674,s716]) ).

cnf(s725,plain,
    spl0_25,
    inference(rat,[],[s12,s720,s624,s721]) ).

cnf(s727,plain,
    spl0_41,
    inference(rat,[],[s29,s624,s720,s722]) ).

cnf(s737,plain,
    ~ spl0_27,
    inference(rat,[],[s679,s725]) ).

cnf(s739,plain,
    ~ spl0_107,
    inference(rat,[],[s100,s727]) ).

cnf(s740,plain,
    ~ spl0_106,
    inference(rat,[],[s99,s727]) ).

cnf(s741,plain,
    ~ spl0_105,
    inference(rat,[],[s98,s727]) ).

cnf(s748,plain,
    spl0_37,
    inference(rat,[],[s24,s675,s624,s737]) ).

cnf(s749,plain,
    ~ spl0_162,
    inference(rat,[],[s304,s748,s740,s741]) ).

cnf(s750,plain,
    $false,
    inference(rat,[],[s623,s704,s739,s741,s749]) ).

fof(f2025,plain,
    $false,
    inference(avatar_sat_refutation,[],[s750]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN450-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n019.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 16:05:03 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21  Running first-order theorem proving
% 0.07/0.21  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.16/1.12  % (4123608)Input is clausal, will run a generic CNF schedule.
% 3.16/1.12  % (4123614)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1156863468:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.16/1.12  % (4123616)lrs+10_1_sil=8000:sp=occurrence:random_seed=2431295001:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.16/1.12  % (4123615)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3874329813:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.16/1.12  % (4123619)dis-21_1_sil=8000:lcm=predicate:random_seed=2588075927:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.16/1.12  % (4123613)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=2304336357:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.16/1.12  % (4123617)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2487453729:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.16/1.12  % (4123618)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3977320634:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.16/1.12  % (4123619)First to succeed.
% 3.16/1.12  % (4123619)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4123608"
% 3.16/1.12  % (4123617)Also succeeded, but the first one will report.
% 3.16/1.12  % (4123618)Also succeeded, but the first one will report.
% 3.16/1.12  % (4123616)Instruction limit reached! 
% 3.16/1.12  % (4123616)------------------------------
% 3.16/1.12  % (4123616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.12  % (4123616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.12  % (4123616)CaDiCaL version: 2.1.3
% 3.16/1.12  % (4123616)Termination reason: Instruction limit
% 3.16/1.12  % (4123616)Termination phase: Saturation
% 3.16/1.12  % (4123616)Time elapsed: 0.071 s
% 3.16/1.12  % (4123616)Peak memory usage: 90 MB
% 3.16/1.12  % (4123616)Instructions burned: 107 (million)
% 3.16/1.12  % (4123627)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=308570548:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.16/1.12  % (4123619)Refutation found. Thanks to Tanya!
% 3.16/1.12  % SZS status Unsatisfiable for theBenchmark
% 3.16/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.31  % (4123619)------------------------------
% 0.19/1.31  % (4123619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.31  % (4123619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.31  % (4123619)CaDiCaL version: 2.1.3
% 0.19/1.31  % (4123619)Termination reason: Refutation
% 0.19/1.31  % (4123619)Time elapsed: 0.032 s
% 0.19/1.31  % (4123619)Peak memory usage: 90 MB
% 0.19/1.31  % (4123619)Instructions burned: 48 (million)
% 0.19/1.31  % (4123619)------------------------------
% 0.19/1.31  % (4123619)------------------------------
% 0.19/1.31  % (4123608)Success in time 0.469 s
% 0.19/1.31  % Vampire exiting
%------------------------------------------------------------------------------