↑ Up

Vampire---5.0.1.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN458-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 01:52:28 PM UTC 2026

% Result   : Unsatisfiable 1.58s 1.21s
% Output   : Refutation 3.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :  266
% Syntax   : Number of formulae    :  857 (  32 unt; 150 def)
%            Number of atoms       : 2603 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3114 (1368   ~;1596   |;   0   &)
%                                         ( 150 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  183 ( 182 usr; 179 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  128 (   0 sgn 128   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp0
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f5,negated_conjecture,
    ( ~ hskp28
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f15,negated_conjecture,
    ( ~ hskp18
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).

fof(f27,negated_conjecture,
    ( ~ hskp6
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).

fof(f34,negated_conjecture,
    ( hskp31
    | hskp12
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( hskp28
    | hskp6
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f37,negated_conjecture,
    ( ~ hskp31
    | c0_1(a1148) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( ~ hskp31
    | c1_1(a1148) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( ~ hskp31
    | c2_1(a1148) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp30
    | c0_1(a1109) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp30
    | c1_1(a1109) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f43,negated_conjecture,
    ( ~ hskp29
    | c1_1(a1101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp29
    | c2_1(a1101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp29
    | c3_1(a1101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp28
    | c0_1(a1092) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp28
    | c2_1(a1092) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp28
    | c3_1(a1092) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f50,negated_conjecture,
    ( ~ hskp26
    | c2_1(a1146) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp26
    | c3_1(a1146) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp24
    | c1_1(a1124) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp24
    | c2_1(a1124) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp23
    | c0_1(a1122) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( ~ hskp23
    | c2_1(a1122) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f58,negated_conjecture,
    ( ~ hskp21
    | c1_1(a1120) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp21
    | c2_1(a1120) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f61,negated_conjecture,
    ( ~ hskp19
    | c0_1(a1113) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp19
    | c1_1(a1113) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp18
    | c0_1(a1103) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp18
    | c3_1(a1103) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f68,negated_conjecture,
    ( ~ hskp14
    | c1_1(a1097) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp14
    | c3_1(a1097) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp13
    | c3_1(a1095) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp12
    | c0_1(a1094) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp12
    | c1_1(a1094) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp11
    | c2_1(a1091) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp9
    | c2_1(a1089) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp9
    | c3_1(a1089) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp8
    | c0_1(a1088) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp8
    | c3_1(a1088) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp6
    | c0_1(a1086) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp6
    | c2_1(a1086) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp5
    | c2_1(a1085) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp4
    | c0_1(a1084) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp3
    | c1_1(a1083) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp1
    | c3_1(a1081) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1080) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f87,negated_conjecture,
    ( ~ c0_1(a1146)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f89,negated_conjecture,
    ( ~ c2_1(a1125)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c3_1(a1125)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ c0_1(a1124)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ c3_1(a1122)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f94,negated_conjecture,
    ( ~ c3_1(a1120)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f97,negated_conjecture,
    ( ~ c2_1(a1113)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c1_1(a1103)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c0_1(a1102)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c2_1(a1102)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f105,negated_conjecture,
    ( ~ c2_1(a1097)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a1095)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c2_1(a1095)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f109,negated_conjecture,
    ( ~ c0_1(a1091)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c3_1(a1091)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c0_1(a1090)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c1_1(a1090)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c3_1(a1090)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c1_1(a1089)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c2_1(a1088)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c0_1(a1087)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c1_1(a1087)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c2_1(a1087)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c1_1(a1086)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c0_1(a1085)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c1_1(a1085)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f123,negated_conjecture,
    ( ~ c3_1(a1084)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c2_1(a1083)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c3_1(a1083)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c0_1(a1082)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c2_1(a1082)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c3_1(a1082)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c0_1(a1081)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f131,negated_conjecture,
    ( ~ c0_1(a1080)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c2_1(a1080)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | hskp1
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp6
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp8
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp28
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp24
      | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp30
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp0
      | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp14
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp9
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp28
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp5
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f162,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp31
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f185,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f190,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f191,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f193,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f194,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f196,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f199,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f200,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f201,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f188,f199,f196,f193,f190]) ).

fof(f203,definition,
    ( spl0_5
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f204,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f206,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f207,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f209,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f210,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f211,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f187,f209,f196,f206,f203]) ).

fof(f213,definition,
    ( spl0_8
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f214,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f216,definition,
    ( spl0_9
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f217,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f218,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f186,f216,f196,f213,f190]) ).

fof(f220,definition,
    ( spl0_10
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f221,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f223,definition,
    ( spl0_11
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f224,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f226,definition,
    ( spl0_12
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f227,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f228,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f185,f226,f196,f223,f220]) ).

fof(f230,definition,
    ( spl0_13
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f231,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f233,definition,
    ( spl0_14
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f234,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f235,plain,
    ( spl0_5
    | spl0_13
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f184,f233,f196,f230,f203]) ).

fof(f237,definition,
    ( spl0_15
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f238,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f240,definition,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f241,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f242,plain,
    ( spl0_5
    | spl0_15
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f183,f240,f196,f237,f203]) ).

fof(f244,definition,
    ( spl0_17
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f246,plain,
    ( spl0_17
    | spl0_12
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f182,f209,f196,f226,f244]) ).

fof(f248,definition,
    ( spl0_18
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f251,definition,
    ( spl0_19
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f252,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f255,definition,
    ( spl0_20
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f258,definition,
    ( spl0_21
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f259,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f261,definition,
    ( spl0_22
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f262,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f263,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f180,f261,f196,f258,f255]) ).

fof(f265,definition,
    ( spl0_23
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f267,plain,
    ( spl0_23
    | spl0_14
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f179,f258,f196,f233,f265]) ).

fof(f269,definition,
    ( spl0_24
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f272,definition,
    ( spl0_25
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f273,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f274,plain,
    ( spl0_24
    | spl0_25
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f178,f206,f196,f272,f269]) ).

fof(f276,definition,
    ( spl0_26
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f279,definition,
    ( spl0_27
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f280,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f281,plain,
    ( spl0_26
    | spl0_27
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f177,f209,f196,f279,f276]) ).

fof(f283,definition,
    ( spl0_28
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f285,plain,
    ( spl0_28
    | spl0_27
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f176,f199,f196,f279,f283]) ).

fof(f287,definition,
    ( spl0_29
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f288,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f291,definition,
    ( spl0_30
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f294,definition,
    ( spl0_31
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f295,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f304,definition,
    ( spl0_34
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f305,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f308,definition,
    ( spl0_35
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f310,plain,
    ( spl0_35
    | spl0_2
    | ~ spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f172,f287,f196,f193,f308]) ).

fof(f312,definition,
    ( spl0_36
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f315,definition,
    ( spl0_37
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f316,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f317,plain,
    ( spl0_36
    | spl0_37
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f171,f240,f196,f315,f312]) ).

fof(f319,definition,
    ( spl0_38
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f320,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f322,definition,
    ( spl0_39
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f323,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f324,plain,
    ( spl0_23
    | spl0_38
    | ~ spl0_3
    | spl0_39 ),
    inference(avatar_split_clause,[],[f170,f322,f196,f319,f265]) ).

fof(f327,definition,
    ( spl0_40
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f329,plain,
    ( spl0_40
    | spl0_31
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f168,f223,f196,f294,f327]) ).

fof(f332,definition,
    ( spl0_41
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f334,plain,
    ( spl0_41
    | spl0_1
    | ~ spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f166,f315,f196,f190,f332]) ).

fof(f336,definition,
    ( spl0_42
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f338,plain,
    ( spl0_42
    | spl0_1
    | ~ spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f165,f319,f196,f190,f336]) ).

fof(f340,definition,
    ( spl0_43
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f342,plain,
    ( spl0_43
    | spl0_5
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f164,f230,f196,f203,f340]) ).

fof(f344,definition,
    ( spl0_44
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f347,plain,
    ( spl0_42
    | spl0_20
    | ~ spl0_3
    | spl0_34 ),
    inference(avatar_split_clause,[],[f162,f304,f196,f255,f336]) ).

fof(f349,definition,
    ( spl0_45
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f352,definition,
    ( spl0_46
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f356,definition,
    ( spl0_47
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f358,plain,
    ( spl0_47
    | spl0_23
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f160,f199,f196,f265,f356]) ).

fof(f360,definition,
    ( spl0_48
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f363,definition,
    ( spl0_49
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f364,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f365,plain,
    ( spl0_35
    | spl0_48
    | ~ spl0_3
    | spl0_49 ),
    inference(avatar_split_clause,[],[f159,f363,f196,f360,f308]) ).

fof(f368,definition,
    ( spl0_50
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f371,plain,
    ( spl0_26
    | spl0_35
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f156,f240,f196,f308,f276]) ).

fof(f373,definition,
    ( spl0_51
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f375,plain,
    ( spl0_26
    | spl0_51
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f155,f240,f196,f373,f276]) ).

fof(f376,plain,
    ( spl0_45
    | spl0_43
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f154,f251,f196,f340,f349]) ).

fof(f378,definition,
    ( spl0_52
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f379,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f382,definition,
    ( spl0_53
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f383,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f386,definition,
    ( spl0_54
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f388,plain,
    ( spl0_54
    | spl0_50
    | ~ spl0_3
    | spl0_53 ),
    inference(avatar_split_clause,[],[f151,f382,f196,f368,f386]) ).

fof(f398,definition,
    ( spl0_57
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f400,plain,
    ( spl0_57
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f148,f240,f196,f398]) ).

fof(f401,plain,
    ( spl0_51
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f147,f251,f196,f373]) ).

fof(f406,plain,
    ( spl0_18
    | spl0_44
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f145,f294,f196,f344,f248]) ).

fof(f411,plain,
    ( spl0_46
    | ~ spl0_3
    | spl0_52 ),
    inference(avatar_split_clause,[],[f143,f378,f196,f352]) ).

fof(f418,plain,
    ( spl0_30
    | spl0_48
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f139,f279,f196,f360,f291]) ).

fof(f420,definition,
    ( spl0_61
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f422,plain,
    ( spl0_35
    | spl0_61
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f138,f190,f196,f420,f308]) ).

fof(f424,definition,
    ( spl0_62
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f427,definition,
    ( spl0_63
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f429,plain,
    ( spl0_62
    | spl0_63
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f137,f190,f196,f427,f424]) ).

fof(f431,plain,
    ( spl0_54
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f135,f272,f196,f386]) ).

fof(f433,definition,
    ( spl0_64
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f436,plain,
    ( spl0_45
    | spl0_30
    | spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f133,f196,f203,f291,f349]) ).

fof(f439,definition,
    ( spl0_65
  <=> c2_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f441,plain,
    ( ~ spl0_43
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f132,f439,f340]) ).

fof(f443,definition,
    ( spl0_66
  <=> c0_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f444,plain,
    ( ~ c0_1(a1080)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f445,plain,
    ( ~ spl0_43
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f131,f443,f340]) ).

fof(f452,definition,
    ( spl0_68
  <=> c0_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f454,plain,
    ( ~ spl0_30
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f129,f452,f291]) ).

fof(f457,definition,
    ( spl0_69
  <=> c3_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f458,plain,
    ( ~ c3_1(a1082)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f459,plain,
    ( ~ spl0_45
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f128,f457,f349]) ).

fof(f461,definition,
    ( spl0_70
  <=> c2_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f463,plain,
    ( ~ spl0_45
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f127,f461,f349]) ).

fof(f465,definition,
    ( spl0_71
  <=> c0_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f466,plain,
    ( ~ c0_1(a1082)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f467,plain,
    ( ~ spl0_45
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f126,f465,f349]) ).

fof(f470,definition,
    ( spl0_72
  <=> c3_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f471,plain,
    ( ~ c3_1(a1083)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f472,plain,
    ( ~ spl0_42
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f125,f470,f336]) ).

fof(f474,definition,
    ( spl0_73
  <=> c2_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f476,plain,
    ( ~ spl0_42
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f124,f474,f336]) ).

fof(f479,definition,
    ( spl0_74
  <=> c3_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f480,plain,
    ( ~ c3_1(a1084)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f481,plain,
    ( ~ spl0_41
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f123,f479,f332]) ).

fof(f488,definition,
    ( spl0_76
  <=> c1_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f490,plain,
    ( ~ spl0_23
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f121,f488,f265]) ).

fof(f492,definition,
    ( spl0_77
  <=> c0_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f493,plain,
    ( ~ c0_1(a1085)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f494,plain,
    ( ~ spl0_23
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f120,f492,f265]) ).

fof(f497,definition,
    ( spl0_78
  <=> c1_1(a1086) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f499,plain,
    ( ~ spl0_63
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f119,f497,f427]) ).

fof(f502,definition,
    ( spl0_79
  <=> c2_1(a1087) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f504,plain,
    ( ~ spl0_62
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f118,f502,f424]) ).

fof(f506,definition,
    ( spl0_80
  <=> c1_1(a1087) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f508,plain,
    ( ~ spl0_62
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f117,f506,f424]) ).

fof(f510,definition,
    ( spl0_81
  <=> c0_1(a1087) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f511,plain,
    ( ~ c0_1(a1087)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f512,plain,
    ( ~ spl0_62
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f116,f510,f424]) ).

fof(f515,definition,
    ( spl0_82
  <=> c2_1(a1088) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f517,plain,
    ( ~ spl0_61
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f115,f515,f420]) ).

fof(f520,definition,
    ( spl0_83
  <=> c1_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f522,plain,
    ( ~ spl0_35
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f114,f520,f308]) ).

fof(f525,definition,
    ( spl0_84
  <=> c3_1(a1090) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f526,plain,
    ( ~ c3_1(a1090)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f527,plain,
    ( ~ spl0_28
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f113,f525,f283]) ).

fof(f529,definition,
    ( spl0_85
  <=> c1_1(a1090) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f531,plain,
    ( ~ spl0_28
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f112,f529,f283]) ).

fof(f533,definition,
    ( spl0_86
  <=> c0_1(a1090) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f535,plain,
    ( ~ spl0_28
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f111,f533,f283]) ).

fof(f538,definition,
    ( spl0_87
  <=> c3_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f539,plain,
    ( ~ c3_1(a1091)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f540,plain,
    ( ~ spl0_26
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f110,f538,f276]) ).

fof(f542,definition,
    ( spl0_88
  <=> c0_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f543,plain,
    ( ~ c0_1(a1091)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f544,plain,
    ( ~ spl0_26
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f109,f542,f276]) ).

fof(f552,definition,
    ( spl0_90
  <=> c2_1(a1095) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f554,plain,
    ( ~ spl0_47
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f107,f552,f356]) ).

fof(f556,definition,
    ( spl0_91
  <=> c1_1(a1095) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f558,plain,
    ( ~ spl0_47
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f106,f556,f356]) ).

fof(f561,definition,
    ( spl0_92
  <=> c2_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f563,plain,
    ( ~ spl0_51
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f105,f561,f373]) ).

fof(f584,definition,
    ( spl0_97
  <=> c2_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f586,plain,
    ( ~ spl0_24
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f100,f584,f269]) ).

fof(f588,definition,
    ( spl0_98
  <=> c0_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f589,plain,
    ( ~ c0_1(a1102)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f590,plain,
    ( ~ spl0_24
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f99,f588,f269]) ).

fof(f593,definition,
    ( spl0_99
  <=> c1_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f595,plain,
    ( ~ spl0_54
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f98,f593,f386]) ).

fof(f598,definition,
    ( spl0_100
  <=> c2_1(a1113) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f600,plain,
    ( ~ spl0_46
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f97,f598,f352]) ).

fof(f612,definition,
    ( spl0_103
  <=> c3_1(a1120) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f613,plain,
    ( ~ c3_1(a1120)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f614,plain,
    ( ~ spl0_57
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f94,f612,f398]) ).

fof(f622,definition,
    ( spl0_105
  <=> c3_1(a1122) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f623,plain,
    ( ~ c3_1(a1122)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f624,plain,
    ( ~ spl0_40
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f92,f622,f327]) ).

fof(f627,definition,
    ( spl0_106
  <=> c0_1(a1124) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f628,plain,
    ( ~ c0_1(a1124)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f629,plain,
    ( ~ spl0_44
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f91,f627,f344]) ).

fof(f632,definition,
    ( spl0_107
  <=> c3_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f633,plain,
    ( ~ c3_1(a1125)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f634,plain,
    ( ~ spl0_18
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f90,f632,f248]) ).

fof(f636,definition,
    ( spl0_108
  <=> c2_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f638,plain,
    ( ~ spl0_18
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f89,f636,f248]) ).

fof(f645,definition,
    ( spl0_110
  <=> c0_1(a1146) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f646,plain,
    ( ~ c0_1(a1146)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f647,plain,
    ( ~ spl0_17
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f87,f645,f244]) ).

fof(f660,definition,
    ( spl0_114
  <=> c1_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f662,plain,
    ( spl0_114
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f84,f340,f660]) ).

fof(f664,definition,
    ( spl0_115
  <=> c3_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f665,plain,
    ( c3_1(a1081)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f666,plain,
    ( spl0_115
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f83,f291,f664]) ).

fof(f668,definition,
    ( spl0_116
  <=> c1_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f670,plain,
    ( spl0_116
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f82,f336,f668]) ).

fof(f672,definition,
    ( spl0_117
  <=> c0_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f674,plain,
    ( spl0_117
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f81,f332,f672]) ).

fof(f676,definition,
    ( spl0_118
  <=> c2_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f678,plain,
    ( spl0_118
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f80,f265,f676]) ).

fof(f680,definition,
    ( spl0_119
  <=> c2_1(a1086) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f682,plain,
    ( spl0_119
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f79,f427,f680]) ).

fof(f684,definition,
    ( spl0_120
  <=> c0_1(a1086) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f685,plain,
    ( c0_1(a1086)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f686,plain,
    ( spl0_120
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f78,f427,f684]) ).

fof(f688,definition,
    ( spl0_121
  <=> c3_1(a1088) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f689,plain,
    ( c3_1(a1088)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f690,plain,
    ( spl0_121
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f77,f420,f688]) ).

fof(f692,definition,
    ( spl0_122
  <=> c0_1(a1088) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f694,plain,
    ( spl0_122
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f76,f420,f692]) ).

fof(f696,definition,
    ( spl0_123
  <=> c3_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f697,plain,
    ( c3_1(a1089)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f698,plain,
    ( spl0_123
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f75,f308,f696]) ).

fof(f700,definition,
    ( spl0_124
  <=> c2_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f702,plain,
    ( spl0_124
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f74,f308,f700]) ).

fof(f704,definition,
    ( spl0_125
  <=> c2_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f706,plain,
    ( spl0_125
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f73,f276,f704]) ).

fof(f708,definition,
    ( spl0_126
  <=> c1_1(a1094) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f710,plain,
    ( spl0_126
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f72,f433,f708]) ).

fof(f712,definition,
    ( spl0_127
  <=> c0_1(a1094) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f713,plain,
    ( c0_1(a1094)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f714,plain,
    ( spl0_127
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f71,f433,f712]) ).

fof(f716,definition,
    ( spl0_128
  <=> c3_1(a1095) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f717,plain,
    ( c3_1(a1095)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f718,plain,
    ( spl0_128
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f70,f356,f716]) ).

fof(f720,definition,
    ( spl0_129
  <=> c3_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f721,plain,
    ( c3_1(a1097)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f722,plain,
    ( spl0_129
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f69,f373,f720]) ).

fof(f724,definition,
    ( spl0_130
  <=> c1_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f726,plain,
    ( spl0_130
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f68,f373,f724]) ).

fof(f740,definition,
    ( spl0_134
  <=> c3_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f741,plain,
    ( c3_1(a1103)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f742,plain,
    ( spl0_134
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f64,f386,f740]) ).

fof(f744,definition,
    ( spl0_135
  <=> c0_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f745,plain,
    ( c0_1(a1103)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f746,plain,
    ( spl0_135
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f63,f386,f744]) ).

fof(f748,definition,
    ( spl0_136
  <=> c1_1(a1113) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f750,plain,
    ( spl0_136
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f62,f352,f748]) ).

fof(f752,definition,
    ( spl0_137
  <=> c0_1(a1113) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f753,plain,
    ( c0_1(a1113)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f754,plain,
    ( spl0_137
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f61,f352,f752]) ).

fof(f760,definition,
    ( spl0_139
  <=> c2_1(a1120) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f762,plain,
    ( spl0_139
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f59,f398,f760]) ).

fof(f764,definition,
    ( spl0_140
  <=> c1_1(a1120) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f766,plain,
    ( spl0_140
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f58,f398,f764]) ).

fof(f776,definition,
    ( spl0_143
  <=> c2_1(a1122) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f778,plain,
    ( spl0_143
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f55,f327,f776]) ).

fof(f780,definition,
    ( spl0_144
  <=> c0_1(a1122) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f781,plain,
    ( c0_1(a1122)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f782,plain,
    ( spl0_144
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f54,f327,f780]) ).

fof(f784,definition,
    ( spl0_145
  <=> c2_1(a1124) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f786,plain,
    ( spl0_145
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f53,f344,f784]) ).

fof(f788,definition,
    ( spl0_146
  <=> c1_1(a1124) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f790,plain,
    ( spl0_146
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f52,f344,f788]) ).

fof(f792,definition,
    ( spl0_147
  <=> c3_1(a1146) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f793,plain,
    ( c3_1(a1146)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f794,plain,
    ( spl0_147
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f51,f244,f792]) ).

fof(f796,definition,
    ( spl0_148
  <=> c2_1(a1146) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f798,plain,
    ( spl0_148
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f50,f244,f796]) ).

fof(f804,definition,
    ( spl0_150
  <=> c3_1(a1092) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f805,plain,
    ( c3_1(a1092)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f807,plain,
    ( spl0_150
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f48,f360,f804]) ).

fof(f809,definition,
    ( spl0_151
  <=> c2_1(a1092) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f811,plain,
    ( spl0_151
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f47,f360,f809]) ).

fof(f813,definition,
    ( spl0_152
  <=> c0_1(a1092) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f814,plain,
    ( c0_1(a1092)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f815,plain,
    ( spl0_152
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f46,f360,f813]) ).

fof(f817,definition,
    ( spl0_153
  <=> c3_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f818,plain,
    ( c3_1(a1101)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f820,plain,
    ( spl0_153
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f45,f312,f817]) ).

fof(f822,definition,
    ( spl0_154
  <=> c2_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f824,plain,
    ( spl0_154
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f44,f312,f822]) ).

fof(f826,definition,
    ( spl0_155
  <=> c1_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f828,plain,
    ( spl0_155
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f43,f312,f826]) ).

fof(f835,definition,
    ( spl0_157
  <=> c1_1(a1109) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f837,plain,
    ( spl0_157
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f41,f368,f835]) ).

fof(f839,definition,
    ( spl0_158
  <=> c0_1(a1109) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f840,plain,
    ( c0_1(a1109)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f841,plain,
    ( spl0_158
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f40,f368,f839]) ).

fof(f843,definition,
    ( spl0_159
  <=> c2_1(a1148) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f846,plain,
    ( spl0_159
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f39,f255,f843]) ).

fof(f848,definition,
    ( spl0_160
  <=> c1_1(a1148) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f850,plain,
    ( spl0_160
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f38,f255,f848]) ).

fof(f852,definition,
    ( spl0_161
  <=> c0_1(a1148) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f853,plain,
    ( c0_1(a1148)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f854,plain,
    ( spl0_161
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f37,f255,f852]) ).

fof(f857,plain,
    ( spl0_54
    | spl0_63
    | spl0_48 ),
    inference(avatar_split_clause,[],[f35,f360,f427,f386]) ).

fof(f858,plain,
    ( spl0_47
    | spl0_64
    | spl0_20 ),
    inference(avatar_split_clause,[],[f34,f255,f433,f356]) ).

fof(f866,plain,
    ( spl0_3
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f27,f427,f196]) ).

fof(f878,plain,
    ( spl0_3
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f15,f386,f196]) ).

fof(f888,plain,
    ( spl0_3
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f5,f360,f196]) ).

fof(f892,plain,
    ( spl0_23
    | spl0_43 ),
    inference(avatar_split_clause,[],[f1,f340,f265]) ).

fof(f904,plain,
    ( ~ c0_1(a1125)
    | c2_1(a1125)
    | ~ spl0_8
    | spl0_107 ),
    inference(resolution,[],[f214,f633]) ).

fof(f912,definition,
    ( spl0_163
  <=> c0_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f933,definition,
    ( spl0_164
  <=> c1_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f937,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(resolution,[],[f234,f210]) ).

fof(f941,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f937]) ).

fof(f942,plain,
    ( spl0_4
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f941,f233,f209,f199]) ).

fof(f947,plain,
    ( c2_1(a1082)
    | c1_1(a1082)
    | ~ spl0_5
    | spl0_71 ),
    inference(resolution,[],[f204,f466]) ).

fof(f950,plain,
    ( spl0_164
    | spl0_70
    | ~ spl0_5
    | spl0_71 ),
    inference(avatar_split_clause,[],[f947,f465,f203,f461,f933]) ).

fof(f966,plain,
    ( c2_1(a1087)
    | c1_1(a1087)
    | ~ spl0_5
    | spl0_81 ),
    inference(resolution,[],[f511,f204]) ).

fof(f970,plain,
    ( spl0_80
    | spl0_79
    | ~ spl0_5
    | spl0_81 ),
    inference(avatar_split_clause,[],[f966,f510,f203,f502,f506]) ).

fof(f979,definition,
    ( spl0_165
  <=> c2_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f985,plain,
    ( c1_1(a1103)
    | ~ c2_1(a1103)
    | ~ spl0_19
    | ~ spl0_135 ),
    inference(resolution,[],[f745,f252]) ).

fof(f987,plain,
    ( ~ spl0_165
    | spl0_99
    | ~ spl0_19
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f985,f744,f251,f593,f979]) ).

fof(f989,plain,
    ( ~ c0_1(a1092)
    | ~ c2_1(a1092)
    | ~ spl0_7
    | ~ spl0_150 ),
    inference(resolution,[],[f805,f210]) ).

fof(f990,plain,
    ( ~ c0_1(a1092)
    | ~ c1_1(a1092)
    | ~ spl0_6
    | ~ spl0_150 ),
    inference(resolution,[],[f805,f207]) ).

fof(f992,definition,
    ( spl0_166
  <=> c1_1(a1092) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f995,plain,
    ( ~ spl0_166
    | ~ spl0_152
    | ~ spl0_6
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f990,f804,f206,f813,f992]) ).

fof(f997,plain,
    ( ~ spl0_151
    | ~ spl0_152
    | ~ spl0_7
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f989,f804,f209,f813,f809]) ).

fof(f1023,definition,
    ( spl0_167
  <=> c0_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1024,plain,
    ( ~ c0_1(a1097)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1023]) ).

fof(f1037,plain,
    ( c2_1(a1097)
    | ~ c1_1(a1097)
    | ~ spl0_12
    | ~ spl0_129 ),
    inference(resolution,[],[f227,f721]) ).

fof(f1042,plain,
    ( ~ spl0_130
    | spl0_92
    | ~ spl0_12
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1037,f720,f226,f561,f724]) ).

fof(f1045,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(resolution,[],[f221,f241]) ).

fof(f1049,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f1045]) ).

fof(f1050,plain,
    ( spl0_1
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1049,f240,f220,f190]) ).

fof(f1054,plain,
    ( c0_1(a1091)
    | c1_1(a1091)
    | ~ spl0_10
    | spl0_87 ),
    inference(resolution,[],[f539,f221]) ).

fof(f1058,definition,
    ( spl0_168
  <=> c1_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1061,plain,
    ( spl0_168
    | spl0_88
    | ~ spl0_10
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1054,f538,f220,f542,f1058]) ).

fof(f1080,definition,
    ( spl0_170
  <=> c0_1(a1120) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1100,plain,
    ( ~ c1_1(a1120)
    | ~ c2_1(a1120)
    | ~ spl0_22
    | spl0_103 ),
    inference(resolution,[],[f262,f613]) ).

fof(f1109,plain,
    ( ~ spl0_139
    | ~ spl0_140
    | ~ spl0_22
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1100,f612,f261,f764,f760]) ).

fof(f1111,plain,
    ( c2_1(a1102)
    | c1_1(a1102)
    | ~ spl0_5
    | spl0_98 ),
    inference(resolution,[],[f589,f204]) ).

fof(f1113,definition,
    ( spl0_171
  <=> c1_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1116,plain,
    ( spl0_171
    | spl0_97
    | ~ spl0_5
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1111,f588,f203,f584,f1113]) ).

fof(f1130,plain,
    ( ~ c2_1(a1120)
    | c0_1(a1120)
    | ~ spl0_25
    | spl0_103 ),
    inference(resolution,[],[f273,f613]) ).

fof(f1131,plain,
    ( ~ c2_1(a1091)
    | c0_1(a1091)
    | ~ spl0_25
    | spl0_87 ),
    inference(resolution,[],[f273,f539]) ).

fof(f1135,plain,
    ( spl0_88
    | ~ spl0_125
    | ~ spl0_25
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1131,f538,f272,f704,f542]) ).

fof(f1139,plain,
    ( ~ c0_1(a1084)
    | c2_1(a1084)
    | ~ spl0_8
    | spl0_74 ),
    inference(resolution,[],[f480,f214]) ).

fof(f1141,definition,
    ( spl0_172
  <=> c2_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1171,plain,
    ( c1_1(a1095)
    | c0_1(a1095)
    | ~ spl0_27
    | ~ spl0_128 ),
    inference(resolution,[],[f280,f717]) ).

fof(f1175,definition,
    ( spl0_174
  <=> c0_1(a1095) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1178,plain,
    ( spl0_174
    | spl0_91
    | ~ spl0_27
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1171,f716,f279,f556,f1175]) ).

fof(f1196,definition,
    ( spl0_175
  <=> c1_1(a1146) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1210,plain,
    ( c2_1(a1095)
    | c1_1(a1095)
    | ~ spl0_31
    | ~ spl0_128 ),
    inference(resolution,[],[f295,f717]) ).

fof(f1219,plain,
    ( spl0_91
    | spl0_90
    | ~ spl0_31
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1210,f716,f294,f552,f556]) ).

fof(f1224,plain,
    ( ~ c2_1(a1122)
    | c1_1(a1122)
    | ~ spl0_29
    | spl0_105 ),
    inference(resolution,[],[f623,f288]) ).

fof(f1225,plain,
    ( ~ c0_1(a1122)
    | ~ c2_1(a1122)
    | ~ spl0_21
    | spl0_105 ),
    inference(resolution,[],[f623,f259]) ).

fof(f1231,definition,
    ( spl0_176
  <=> c1_1(a1122) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1235,plain,
    ( ~ spl0_143
    | ~ spl0_144
    | ~ spl0_21
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1225,f622,f258,f780,f776]) ).

fof(f1245,definition,
    ( spl0_177
  <=> c2_1(a1094) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1311,plain,
    ( c0_1(a1125)
    | c2_1(a1125)
    | ~ spl0_15
    | spl0_107 ),
    inference(resolution,[],[f238,f633]) ).

fof(f1312,plain,
    ( c0_1(a1082)
    | c2_1(a1082)
    | ~ spl0_15
    | spl0_69 ),
    inference(resolution,[],[f238,f458]) ).

fof(f1314,plain,
    ( spl0_70
    | spl0_71
    | ~ spl0_15
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1312,f457,f237,f465,f461]) ).

fof(f1388,plain,
    ( c1_1(a1103)
    | c0_1(a1103)
    | ~ spl0_27
    | ~ spl0_134 ),
    inference(resolution,[],[f280,f741]) ).

fof(f1391,plain,
    ( c1_1(a1089)
    | c0_1(a1089)
    | ~ spl0_27
    | ~ spl0_123 ),
    inference(resolution,[],[f280,f697]) ).

fof(f1396,definition,
    ( spl0_180
  <=> c0_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1399,plain,
    ( spl0_180
    | spl0_83
    | ~ spl0_27
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1391,f696,f279,f520,f1396]) ).

fof(f1409,plain,
    ( c2_1(a1103)
    | c1_1(a1103)
    | ~ spl0_31
    | ~ spl0_134 ),
    inference(resolution,[],[f295,f741]) ).

fof(f1417,plain,
    ( spl0_99
    | spl0_165
    | ~ spl0_31
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1409,f740,f294,f979,f593]) ).

fof(f1446,plain,
    ( c0_1(a1083)
    | c2_1(a1083)
    | ~ spl0_15
    | spl0_72 ),
    inference(resolution,[],[f471,f238]) ).

fof(f1449,definition,
    ( spl0_181
  <=> c0_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1462,plain,
    ( ~ c1_1(a1120)
    | c0_1(a1120)
    | ~ spl0_37
    | spl0_103 ),
    inference(resolution,[],[f316,f613]) ).

fof(f1486,plain,
    ( c1_1(a1092)
    | ~ c2_1(a1092)
    | ~ spl0_16
    | ~ spl0_150 ),
    inference(resolution,[],[f241,f805]) ).

fof(f1508,plain,
    ( ~ c0_1(a1120)
    | ~ c2_1(a1120)
    | ~ spl0_21
    | spl0_103 ),
    inference(resolution,[],[f613,f259]) ).

fof(f1516,definition,
    ( spl0_182
  <=> c0_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1526,plain,
    ( c2_1(a1097)
    | ~ c1_1(a1097)
    | ~ spl0_38
    | spl0_167 ),
    inference(resolution,[],[f320,f1024]) ).

fof(f1531,plain,
    ( c2_1(a1082)
    | ~ c1_1(a1082)
    | ~ spl0_38
    | spl0_71 ),
    inference(resolution,[],[f320,f466]) ).

fof(f1533,plain,
    ( ~ spl0_164
    | spl0_70
    | ~ spl0_38
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1531,f465,f319,f461,f933]) ).

fof(f1538,plain,
    ( ~ spl0_130
    | spl0_92
    | ~ spl0_38
    | spl0_167 ),
    inference(avatar_split_clause,[],[f1526,f1023,f319,f561,f724]) ).

fof(f1545,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_39 ),
    inference(resolution,[],[f323,f259]) ).

fof(f1550,plain,
    ( c1_1(a1103)
    | ~ c0_1(a1103)
    | ~ spl0_39
    | ~ spl0_134 ),
    inference(resolution,[],[f323,f741]) ).

fof(f1553,plain,
    ( c1_1(a1089)
    | ~ c0_1(a1089)
    | ~ spl0_39
    | ~ spl0_123 ),
    inference(resolution,[],[f323,f697]) ).

fof(f1555,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f1545]) ).

fof(f1559,plain,
    ( ~ spl0_180
    | spl0_83
    | ~ spl0_39
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1553,f696,f322,f520,f1396]) ).

fof(f1562,plain,
    ( spl0_19
    | ~ spl0_21
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1555,f322,f258,f251]) ).

fof(f1568,plain,
    ( ~ spl0_151
    | spl0_166
    | ~ spl0_16
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1486,f804,f240,f992,f809]) ).

fof(f1574,plain,
    ( spl0_176
    | ~ spl0_143
    | ~ spl0_29
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1224,f622,f287,f776,f1231]) ).

fof(f1577,plain,
    ( ~ spl0_139
    | ~ spl0_170
    | ~ spl0_21
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1508,f612,f258,f1080,f760]) ).

fof(f1588,definition,
    ( spl0_183
  <=> c2_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f1614,plain,
    ( spl0_135
    | spl0_99
    | ~ spl0_27
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1388,f740,f279,f593,f744]) ).

fof(f1616,plain,
    ( ~ spl0_165
    | spl0_99
    | ~ spl0_19
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f985,f744,f251,f593,f979]) ).

fof(f1625,plain,
    ( ~ c1_1(a1146)
    | ~ c2_1(a1146)
    | ~ spl0_2
    | spl0_110 ),
    inference(resolution,[],[f194,f646]) ).

fof(f1626,plain,
    ( ~ c1_1(a1124)
    | ~ c2_1(a1124)
    | ~ spl0_2
    | spl0_106 ),
    inference(resolution,[],[f194,f628]) ).

fof(f1638,plain,
    ( ~ spl0_145
    | ~ spl0_146
    | ~ spl0_2
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1626,f627,f193,f788,f784]) ).

fof(f1645,plain,
    ( ~ c0_1(a1103)
    | ~ c2_1(a1103)
    | ~ spl0_7
    | ~ spl0_134 ),
    inference(resolution,[],[f210,f741]) ).

fof(f1649,plain,
    ( ~ c0_1(a1089)
    | ~ c2_1(a1089)
    | ~ spl0_7
    | ~ spl0_123 ),
    inference(resolution,[],[f210,f697]) ).

fof(f1654,plain,
    ( ~ spl0_165
    | ~ spl0_135
    | ~ spl0_7
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1645,f740,f209,f744,f979]) ).

fof(f1659,definition,
    ( spl0_185
  <=> c2_1(a1109) ),
    introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).

fof(f1664,plain,
    ( c2_1(a1109)
    | ~ c1_1(a1109)
    | ~ spl0_9
    | ~ spl0_158 ),
    inference(resolution,[],[f217,f840]) ).

fof(f1683,plain,
    ( ~ spl0_157
    | spl0_185
    | ~ spl0_9
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1664,f839,f216,f1659,f835]) ).

fof(f1686,plain,
    ( ~ c1_1(a1083)
    | c2_1(a1083)
    | ~ spl0_11
    | spl0_72 ),
    inference(resolution,[],[f224,f471]) ).

fof(f1712,plain,
    ( c2_1(a1081)
    | c0_1(a1081)
    | ~ spl0_13
    | ~ spl0_115 ),
    inference(resolution,[],[f231,f665]) ).

fof(f1727,plain,
    ( c1_1(a1146)
    | ~ c2_1(a1146)
    | ~ spl0_16
    | ~ spl0_147 ),
    inference(resolution,[],[f241,f793]) ).

fof(f1729,plain,
    ( c1_1(a1103)
    | ~ c2_1(a1103)
    | ~ spl0_16
    | ~ spl0_134 ),
    inference(resolution,[],[f241,f741]) ).

fof(f1732,plain,
    ( c1_1(a1089)
    | ~ c2_1(a1089)
    | ~ spl0_16
    | ~ spl0_123 ),
    inference(resolution,[],[f241,f697]) ).

fof(f1737,plain,
    ( ~ spl0_124
    | spl0_83
    | ~ spl0_16
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1732,f696,f240,f520,f700]) ).

fof(f1738,plain,
    ( ~ spl0_165
    | spl0_99
    | ~ spl0_16
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1729,f740,f240,f593,f979]) ).

fof(f1739,plain,
    ( ~ spl0_148
    | spl0_175
    | ~ spl0_16
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1727,f792,f240,f1196,f796]) ).

fof(f1758,plain,
    ( ~ c2_1(a1148)
    | ~ c1_1(a1148)
    | ~ spl0_4
    | ~ spl0_161 ),
    inference(resolution,[],[f200,f853]) ).

fof(f1759,plain,
    ( ~ c2_1(a1109)
    | ~ c1_1(a1109)
    | ~ spl0_4
    | ~ spl0_158 ),
    inference(resolution,[],[f200,f840]) ).

fof(f1760,plain,
    ( ~ c2_1(a1092)
    | ~ c1_1(a1092)
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(resolution,[],[f200,f814]) ).

fof(f1767,plain,
    ( ~ c2_1(a1094)
    | ~ c1_1(a1094)
    | ~ spl0_4
    | ~ spl0_127 ),
    inference(resolution,[],[f200,f713]) ).

fof(f1773,plain,
    ( ~ spl0_126
    | ~ spl0_177
    | ~ spl0_4
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1767,f712,f199,f1245,f708]) ).

fof(f1774,plain,
    ( ~ spl0_166
    | ~ spl0_151
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1760,f813,f199,f809,f992]) ).

fof(f1775,plain,
    ( ~ spl0_157
    | ~ spl0_185
    | ~ spl0_4
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1759,f839,f199,f1659,f835]) ).

fof(f1776,plain,
    ( ~ spl0_160
    | ~ spl0_159
    | ~ spl0_4
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1758,f852,f199,f843,f848]) ).

fof(f1789,plain,
    ( c1_1(a1092)
    | ~ c2_1(a1092)
    | ~ spl0_19
    | ~ spl0_152 ),
    inference(resolution,[],[f252,f814]) ).

fof(f1798,plain,
    ( c1_1(a1086)
    | ~ c2_1(a1086)
    | ~ spl0_19
    | ~ spl0_120 ),
    inference(resolution,[],[f252,f685]) ).

fof(f1811,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(resolution,[],[f273,f241]) ).

fof(f1820,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f1811]) ).

fof(f1824,plain,
    ( spl0_1
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1820,f272,f240,f190]) ).

fof(f1833,plain,
    ( ~ c0_1(a1084)
    | ~ c2_1(a1084)
    | ~ spl0_21
    | spl0_74 ),
    inference(resolution,[],[f480,f259]) ).

fof(f1834,plain,
    ( ~ spl0_172
    | ~ spl0_117
    | ~ spl0_21
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1833,f479,f258,f672,f1141]) ).

fof(f1842,plain,
    ( ~ c0_1(a1097)
    | ~ c1_1(a1097)
    | ~ spl0_6
    | ~ spl0_129 ),
    inference(resolution,[],[f207,f721]) ).

fof(f1848,plain,
    ( ~ spl0_130
    | ~ spl0_167
    | ~ spl0_6
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1842,f720,f206,f1023,f724]) ).

fof(f1857,plain,
    ( c1_1(a1146)
    | c0_1(a1146)
    | ~ spl0_27
    | ~ spl0_147 ),
    inference(resolution,[],[f280,f793]) ).

fof(f1863,plain,
    ( spl0_110
    | spl0_175
    | ~ spl0_27
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1857,f792,f279,f1196,f645]) ).

fof(f1867,plain,
    ( ~ c1_1(a1101)
    | ~ c2_1(a1101)
    | ~ spl0_34
    | ~ spl0_153 ),
    inference(resolution,[],[f305,f818]) ).

fof(f1877,plain,
    ( ~ spl0_154
    | ~ spl0_155
    | ~ spl0_34
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1867,f817,f304,f826,f822]) ).

fof(f1899,plain,
    ( c2_1(a1102)
    | ~ c1_1(a1102)
    | ~ spl0_38
    | spl0_98 ),
    inference(resolution,[],[f320,f589]) ).

fof(f1902,plain,
    ( c2_1(a1080)
    | ~ c1_1(a1080)
    | ~ spl0_38
    | spl0_66 ),
    inference(resolution,[],[f320,f444]) ).

fof(f1908,plain,
    ( ~ spl0_114
    | spl0_65
    | ~ spl0_38
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1902,f443,f319,f439,f660]) ).

fof(f1909,plain,
    ( ~ spl0_171
    | spl0_97
    | ~ spl0_38
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1899,f588,f319,f584,f1113]) ).

fof(f1918,plain,
    ( ~ c1_1(a1091)
    | ~ c2_1(a1091)
    | ~ spl0_2
    | spl0_88 ),
    inference(resolution,[],[f543,f194]) ).

fof(f1919,plain,
    ( ~ spl0_125
    | ~ spl0_168
    | ~ spl0_2
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1918,f542,f193,f1058,f704]) ).

fof(f1921,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_14
    | ~ spl0_49 ),
    inference(resolution,[],[f364,f234]) ).

fof(f1925,plain,
    ( c2_1(a1103)
    | ~ c0_1(a1103)
    | ~ spl0_49
    | ~ spl0_134 ),
    inference(resolution,[],[f364,f741]) ).

fof(f1926,plain,
    ( c2_1(a1097)
    | ~ c0_1(a1097)
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(resolution,[],[f364,f721]) ).

fof(f1928,plain,
    ( c2_1(a1088)
    | ~ c0_1(a1088)
    | ~ spl0_49
    | ~ spl0_121 ),
    inference(resolution,[],[f364,f689]) ).

fof(f1931,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_14
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1921]) ).

fof(f1932,plain,
    ( ~ spl0_122
    | spl0_82
    | ~ spl0_49
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1928,f688,f363,f515,f692]) ).

fof(f1935,plain,
    ( ~ spl0_167
    | spl0_92
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1926,f720,f363,f561,f1023]) ).

fof(f1936,plain,
    ( ~ spl0_135
    | spl0_165
    | ~ spl0_49
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1925,f740,f363,f979,f744]) ).

fof(f1948,plain,
    ( ~ spl0_135
    | spl0_99
    | ~ spl0_39
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1550,f740,f322,f593,f744]) ).

fof(f1956,plain,
    ( ~ c0_1(a1083)
    | ~ c1_1(a1083)
    | ~ spl0_14
    | spl0_72 ),
    inference(resolution,[],[f471,f234]) ).

fof(f1957,plain,
    ( ~ spl0_116
    | ~ spl0_181
    | ~ spl0_14
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1956,f470,f233,f1449,f668]) ).

fof(f1973,plain,
    ( ~ c2_1(a1122)
    | ~ c1_1(a1122)
    | ~ spl0_4
    | ~ spl0_144 ),
    inference(resolution,[],[f781,f200]) ).

fof(f1975,plain,
    ( ~ spl0_176
    | ~ spl0_143
    | ~ spl0_4
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1973,f780,f199,f776,f1231]) ).

fof(f1977,plain,
    ( ~ c0_1(a1101)
    | ~ c2_1(a1101)
    | ~ spl0_7
    | ~ spl0_153 ),
    inference(resolution,[],[f818,f210]) ).

fof(f1980,plain,
    ( ~ spl0_154
    | ~ spl0_182
    | ~ spl0_7
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1977,f817,f209,f1516,f822]) ).

fof(f1988,plain,
    ( c1_1(a1085)
    | ~ c2_1(a1085)
    | ~ spl0_1
    | spl0_77 ),
    inference(resolution,[],[f191,f493]) ).

fof(f1998,plain,
    ( ~ spl0_118
    | spl0_76
    | ~ spl0_1
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1988,f492,f190,f488,f676]) ).

fof(f2011,plain,
    ( c0_1(a1090)
    | c1_1(a1090)
    | ~ spl0_10
    | spl0_84 ),
    inference(resolution,[],[f221,f526]) ).

fof(f2015,plain,
    ( spl0_85
    | spl0_86
    | ~ spl0_10
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2011,f525,f220,f533,f529]) ).

fof(f2054,plain,
    ( c1_1(a1095)
    | ~ c0_1(a1095)
    | ~ spl0_39
    | ~ spl0_128 ),
    inference(resolution,[],[f323,f717]) ).

fof(f2059,plain,
    ( ~ spl0_174
    | spl0_91
    | ~ spl0_39
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2054,f716,f322,f556,f1175]) ).

fof(f2064,plain,
    ( c0_1(a1101)
    | ~ c2_1(a1101)
    | ~ spl0_52
    | ~ spl0_153 ),
    inference(resolution,[],[f379,f818]) ).

fof(f2077,plain,
    ( ~ spl0_154
    | spl0_182
    | ~ spl0_52
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2064,f817,f378,f1516,f822]) ).

fof(f2079,plain,
    ( spl0_9
    | ~ spl0_14
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1931,f363,f233,f216]) ).

fof(f2107,plain,
    ( c2_1(a1113)
    | ~ c1_1(a1113)
    | ~ spl0_9
    | ~ spl0_137 ),
    inference(resolution,[],[f217,f753]) ).

fof(f2109,plain,
    ( c2_1(a1094)
    | ~ c1_1(a1094)
    | ~ spl0_9
    | ~ spl0_127 ),
    inference(resolution,[],[f217,f713]) ).

fof(f2114,plain,
    ( ~ spl0_126
    | spl0_177
    | ~ spl0_9
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2109,f712,f216,f1245,f708]) ).

fof(f2115,plain,
    ( ~ spl0_136
    | spl0_100
    | ~ spl0_9
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2107,f752,f216,f598,f748]) ).

fof(f2131,plain,
    ( c0_1(a1081)
    | ~ c2_1(a1081)
    | ~ spl0_52
    | ~ spl0_115 ),
    inference(resolution,[],[f379,f665]) ).

fof(f2135,plain,
    ( ~ spl0_183
    | spl0_68
    | ~ spl0_52
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2131,f664,f378,f452,f1588]) ).

fof(f2146,plain,
    ( c0_1(a1097)
    | ~ c1_1(a1097)
    | ~ spl0_53
    | ~ spl0_129 ),
    inference(resolution,[],[f383,f721]) ).

fof(f2154,plain,
    ( ~ spl0_130
    | spl0_167
    | ~ spl0_53
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2146,f720,f382,f1023,f724]) ).

fof(f2158,plain,
    ( spl0_108
    | ~ spl0_163
    | ~ spl0_8
    | spl0_107 ),
    inference(avatar_split_clause,[],[f904,f632,f213,f912,f636]) ).

fof(f2160,plain,
    ( spl0_172
    | ~ spl0_117
    | ~ spl0_8
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1139,f479,f213,f672,f1141]) ).

fof(f2162,plain,
    ( spl0_73
    | ~ spl0_116
    | ~ spl0_11
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1686,f470,f223,f668,f474]) ).

fof(f2170,plain,
    ( spl0_68
    | spl0_183
    | ~ spl0_13
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1712,f664,f230,f1588,f452]) ).

fof(f2172,plain,
    ( spl0_108
    | spl0_163
    | ~ spl0_15
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1311,f632,f237,f912,f636]) ).

fof(f2175,plain,
    ( spl0_73
    | spl0_181
    | ~ spl0_15
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1446,f470,f237,f1449,f474]) ).

fof(f2179,plain,
    ( ~ spl0_151
    | spl0_166
    | ~ spl0_19
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1789,f813,f251,f992,f809]) ).

fof(f2182,plain,
    ( ~ spl0_119
    | spl0_78
    | ~ spl0_19
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1798,f684,f251,f497,f680]) ).

fof(f2184,plain,
    ( spl0_170
    | ~ spl0_140
    | ~ spl0_37
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1462,f612,f315,f764,f1080]) ).

fof(f2187,plain,
    ( spl0_170
    | ~ spl0_139
    | ~ spl0_25
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1130,f612,f272,f760,f1080]) ).

fof(f2189,plain,
    ( ~ spl0_148
    | ~ spl0_175
    | ~ spl0_2
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1625,f645,f193,f1196,f796]) ).

fof(f2190,plain,
    ( ~ spl0_124
    | ~ spl0_180
    | ~ spl0_7
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1649,f696,f209,f1396,f700]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f201]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f211]) ).

cnf(s3,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f218]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f228]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f235]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f242]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_12
    | spl0_17 ),
    inference(sat_conversion,[],[f246]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_21
    | spl0_23 ),
    inference(sat_conversion,[],[f267]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f274]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f281]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f285]) ).

cnf(s17,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_29
    | spl0_35 ),
    inference(sat_conversion,[],[f310]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f317]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f324]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_31
    | spl0_40 ),
    inference(sat_conversion,[],[f329]) ).

cnf(s23,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_37
    | spl0_41 ),
    inference(sat_conversion,[],[f334]) ).

cnf(s24,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_38
    | spl0_42 ),
    inference(sat_conversion,[],[f338]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_13
    | spl0_43 ),
    inference(sat_conversion,[],[f342]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_34
    | spl0_42 ),
    inference(sat_conversion,[],[f347]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_23
    | spl0_47 ),
    inference(sat_conversion,[],[f358]) ).

cnf(s30,plain,
    ( ~ spl0_3
    | spl0_35
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f365]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_26
    | spl0_35 ),
    inference(sat_conversion,[],[f371]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_26
    | spl0_51 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_43
    | spl0_45 ),
    inference(sat_conversion,[],[f376]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_50
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f388]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_57 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s42,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_51 ),
    inference(sat_conversion,[],[f401]) ).

cnf(s44,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_31
    | spl0_44 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s46,plain,
    ( ~ spl0_3
    | spl0_46
    | spl0_52 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_30
    | spl0_48 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s51,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_35
    | spl0_61 ),
    inference(sat_conversion,[],[f422]) ).

cnf(s52,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_62
    | spl0_63 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s54,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_54 ),
    inference(sat_conversion,[],[f431]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_30
    | spl0_45 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s57,plain,
    ( ~ spl0_43
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s58,plain,
    ( ~ spl0_43
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s60,plain,
    ( ~ spl0_30
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s61,plain,
    ( ~ spl0_45
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s62,plain,
    ( ~ spl0_45
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s63,plain,
    ( ~ spl0_45
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s64,plain,
    ( ~ spl0_42
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s65,plain,
    ( ~ spl0_42
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s66,plain,
    ( ~ spl0_41
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s68,plain,
    ( ~ spl0_23
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s69,plain,
    ( ~ spl0_23
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s70,plain,
    ( ~ spl0_63
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s71,plain,
    ( ~ spl0_62
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s72,plain,
    ( ~ spl0_62
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f508]) ).

cnf(s73,plain,
    ( ~ spl0_62
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s74,plain,
    ( ~ spl0_61
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f517]) ).

cnf(s75,plain,
    ( ~ spl0_35
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s76,plain,
    ( ~ spl0_28
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s77,plain,
    ( ~ spl0_28
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s78,plain,
    ( ~ spl0_28
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s79,plain,
    ( ~ spl0_26
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s80,plain,
    ( ~ spl0_26
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s82,plain,
    ( ~ spl0_47
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f554]) ).

cnf(s83,plain,
    ( ~ spl0_47
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s84,plain,
    ( ~ spl0_51
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s89,plain,
    ( ~ spl0_24
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s90,plain,
    ( ~ spl0_24
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s91,plain,
    ( ~ spl0_54
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s92,plain,
    ( ~ spl0_46
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s95,plain,
    ( ~ spl0_57
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f614]) ).

cnf(s97,plain,
    ( ~ spl0_40
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s98,plain,
    ( ~ spl0_44
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s99,plain,
    ( ~ spl0_18
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s100,plain,
    ( ~ spl0_18
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s102,plain,
    ( ~ spl0_17
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s105,plain,
    ( ~ spl0_43
    | spl0_114 ),
    inference(sat_conversion,[],[f662]) ).

cnf(s106,plain,
    ( ~ spl0_30
    | spl0_115 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s107,plain,
    ( ~ spl0_42
    | spl0_116 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s108,plain,
    ( ~ spl0_41
    | spl0_117 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s109,plain,
    ( ~ spl0_23
    | spl0_118 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s110,plain,
    ( ~ spl0_63
    | spl0_119 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s111,plain,
    ( ~ spl0_63
    | spl0_120 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s112,plain,
    ( ~ spl0_61
    | spl0_121 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s113,plain,
    ( ~ spl0_61
    | spl0_122 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s114,plain,
    ( ~ spl0_35
    | spl0_123 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s115,plain,
    ( ~ spl0_35
    | spl0_124 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s116,plain,
    ( ~ spl0_26
    | spl0_125 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s117,plain,
    ( ~ spl0_64
    | spl0_126 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s118,plain,
    ( ~ spl0_64
    | spl0_127 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s119,plain,
    ( ~ spl0_47
    | spl0_128 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s120,plain,
    ( ~ spl0_51
    | spl0_129 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s121,plain,
    ( ~ spl0_51
    | spl0_130 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s125,plain,
    ( ~ spl0_54
    | spl0_134 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s126,plain,
    ( ~ spl0_54
    | spl0_135 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s127,plain,
    ( ~ spl0_46
    | spl0_136 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s128,plain,
    ( ~ spl0_46
    | spl0_137 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s130,plain,
    ( ~ spl0_57
    | spl0_139 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s131,plain,
    ( ~ spl0_57
    | spl0_140 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s134,plain,
    ( ~ spl0_40
    | spl0_143 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s135,plain,
    ( ~ spl0_40
    | spl0_144 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s136,plain,
    ( ~ spl0_44
    | spl0_145 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s137,plain,
    ( ~ spl0_44
    | spl0_146 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s138,plain,
    ( ~ spl0_17
    | spl0_147 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s139,plain,
    ( ~ spl0_17
    | spl0_148 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s141,plain,
    ( ~ spl0_48
    | spl0_150 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s142,plain,
    ( ~ spl0_48
    | spl0_151 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s143,plain,
    ( ~ spl0_48
    | spl0_152 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s144,plain,
    ( ~ spl0_36
    | spl0_153 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s145,plain,
    ( ~ spl0_36
    | spl0_154 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s146,plain,
    ( ~ spl0_36
    | spl0_155 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s148,plain,
    ( ~ spl0_50
    | spl0_157 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s149,plain,
    ( ~ spl0_50
    | spl0_158 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s150,plain,
    ( ~ spl0_20
    | spl0_159 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s151,plain,
    ( ~ spl0_20
    | spl0_160 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s152,plain,
    ( ~ spl0_20
    | spl0_161 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s154,plain,
    ( spl0_48
    | spl0_54
    | spl0_63 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s155,plain,
    ( spl0_20
    | spl0_47
    | spl0_64 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s162,plain,
    ( spl0_3
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s174,plain,
    ( spl0_3
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s184,plain,
    ( spl0_3
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s188,plain,
    ( spl0_23
    | spl0_43 ),
    inference(sat_conversion,[],[f892]) ).

cnf(s195,plain,
    ( spl0_4
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s197,plain,
    ( ~ spl0_5
    | spl0_70
    | spl0_71
    | spl0_164 ),
    inference(sat_conversion,[],[f950]) ).

cnf(s201,plain,
    ( ~ spl0_5
    | spl0_79
    | spl0_80
    | spl0_81 ),
    inference(sat_conversion,[],[f970]) ).

cnf(s205,plain,
    ( ~ spl0_19
    | spl0_99
    | ~ spl0_135
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f987]) ).

cnf(s206,plain,
    ( ~ spl0_6
    | ~ spl0_150
    | ~ spl0_152
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f995]) ).

cnf(s207,plain,
    ( ~ spl0_7
    | ~ spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f997]) ).

cnf(s217,plain,
    ( ~ spl0_12
    | spl0_92
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1042]) ).

cnf(s219,plain,
    ( spl0_1
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f1050]) ).

cnf(s223,plain,
    ( ~ spl0_10
    | spl0_87
    | spl0_88
    | spl0_168 ),
    inference(sat_conversion,[],[f1061]) ).

cnf(s233,plain,
    ( ~ spl0_22
    | spl0_103
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1109]) ).

cnf(s235,plain,
    ( ~ spl0_5
    | spl0_97
    | spl0_98
    | spl0_171 ),
    inference(sat_conversion,[],[f1116]) ).

cnf(s237,plain,
    ( ~ spl0_25
    | spl0_87
    | spl0_88
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1135]) ).

cnf(s246,plain,
    ( ~ spl0_27
    | spl0_91
    | ~ spl0_128
    | spl0_174 ),
    inference(sat_conversion,[],[f1178]) ).

cnf(s253,plain,
    ( ~ spl0_31
    | spl0_90
    | spl0_91
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1219]) ).

cnf(s259,plain,
    ( ~ spl0_21
    | spl0_105
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1235]) ).

cnf(s285,plain,
    ( ~ spl0_15
    | spl0_69
    | spl0_70
    | spl0_71 ),
    inference(sat_conversion,[],[f1314]) ).

cnf(s308,plain,
    ( ~ spl0_27
    | spl0_83
    | ~ spl0_123
    | spl0_180 ),
    inference(sat_conversion,[],[f1399]) ).

cnf(s312,plain,
    ( ~ spl0_31
    | spl0_99
    | ~ spl0_134
    | spl0_165 ),
    inference(sat_conversion,[],[f1417]) ).

cnf(s348,plain,
    ( ~ spl0_38
    | spl0_70
    | spl0_71
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1533]) ).

cnf(s351,plain,
    ( ~ spl0_38
    | spl0_92
    | ~ spl0_130
    | spl0_167 ),
    inference(sat_conversion,[],[f1538]) ).

cnf(s356,plain,
    ( ~ spl0_39
    | spl0_83
    | ~ spl0_123
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f1559]) ).

cnf(s359,plain,
    ( spl0_19
    | ~ spl0_21
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f1562]) ).

cnf(s366,plain,
    ( ~ spl0_16
    | ~ spl0_150
    | ~ spl0_151
    | spl0_166 ),
    inference(sat_conversion,[],[f1568]) ).

cnf(s372,plain,
    ( ~ spl0_29
    | spl0_105
    | ~ spl0_143
    | spl0_176 ),
    inference(sat_conversion,[],[f1574]) ).

cnf(s375,plain,
    ( ~ spl0_21
    | spl0_103
    | ~ spl0_139
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1577]) ).

cnf(s405,plain,
    ( ~ spl0_27
    | spl0_99
    | ~ spl0_134
    | spl0_135 ),
    inference(sat_conversion,[],[f1614]) ).

cnf(s407,plain,
    ( ~ spl0_19
    | spl0_99
    | ~ spl0_135
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1616]) ).

cnf(s411,plain,
    ( ~ spl0_2
    | spl0_106
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1638]) ).

cnf(s414,plain,
    ( ~ spl0_7
    | ~ spl0_134
    | ~ spl0_135
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1654]) ).

cnf(s420,plain,
    ( ~ spl0_9
    | ~ spl0_157
    | ~ spl0_158
    | spl0_185 ),
    inference(sat_conversion,[],[f1683]) ).

cnf(s439,plain,
    ( ~ spl0_16
    | spl0_83
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1737]) ).

cnf(s440,plain,
    ( ~ spl0_16
    | spl0_99
    | ~ spl0_134
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1738]) ).

cnf(s441,plain,
    ( ~ spl0_16
    | ~ spl0_147
    | ~ spl0_148
    | spl0_175 ),
    inference(sat_conversion,[],[f1739]) ).

cnf(s462,plain,
    ( ~ spl0_4
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1773]) ).

cnf(s463,plain,
    ( ~ spl0_4
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1774]) ).

cnf(s464,plain,
    ( ~ spl0_4
    | ~ spl0_157
    | ~ spl0_158
    | ~ spl0_185 ),
    inference(sat_conversion,[],[f1775]) ).

cnf(s465,plain,
    ( ~ spl0_4
    | ~ spl0_159
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1776]) ).

cnf(s478,plain,
    ( spl0_1
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f1824]) ).

cnf(s485,plain,
    ( ~ spl0_21
    | spl0_74
    | ~ spl0_117
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1834]) ).

cnf(s486,plain,
    ( ~ spl0_6
    | ~ spl0_129
    | ~ spl0_130
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1848]) ).

cnf(s491,plain,
    ( ~ spl0_27
    | spl0_110
    | ~ spl0_147
    | spl0_175 ),
    inference(sat_conversion,[],[f1863]) ).

cnf(s493,plain,
    ( ~ spl0_34
    | ~ spl0_153
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1877]) ).

cnf(s496,plain,
    ( ~ spl0_38
    | spl0_65
    | spl0_66
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1908]) ).

cnf(s497,plain,
    ( ~ spl0_38
    | spl0_97
    | spl0_98
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1909]) ).

cnf(s502,plain,
    ( ~ spl0_2
    | spl0_88
    | ~ spl0_125
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1919]) ).

cnf(s503,plain,
    ( ~ spl0_49
    | spl0_82
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1932]) ).

cnf(s505,plain,
    ( ~ spl0_49
    | spl0_92
    | ~ spl0_129
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1935]) ).

cnf(s506,plain,
    ( ~ spl0_49
    | ~ spl0_134
    | ~ spl0_135
    | spl0_165 ),
    inference(sat_conversion,[],[f1936]) ).

cnf(s521,plain,
    ( ~ spl0_39
    | spl0_99
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1948]) ).

cnf(s529,plain,
    ( ~ spl0_14
    | spl0_72
    | ~ spl0_116
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f1957]) ).

cnf(s532,plain,
    ( ~ spl0_4
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1975]) ).

cnf(s533,plain,
    ( ~ spl0_7
    | ~ spl0_153
    | ~ spl0_154
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f1980]) ).

cnf(s537,plain,
    ( ~ spl0_1
    | spl0_76
    | spl0_77
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1998]) ).

cnf(s541,plain,
    ( ~ spl0_10
    | spl0_84
    | spl0_85
    | spl0_86 ),
    inference(sat_conversion,[],[f2015]) ).

cnf(s544,plain,
    ( ~ spl0_39
    | spl0_91
    | ~ spl0_128
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2059]) ).

cnf(s547,plain,
    ( ~ spl0_52
    | ~ spl0_153
    | ~ spl0_154
    | spl0_182 ),
    inference(sat_conversion,[],[f2077]) ).

cnf(s549,plain,
    ( spl0_9
    | ~ spl0_14
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f2079]) ).

cnf(s565,plain,
    ( ~ spl0_9
    | ~ spl0_126
    | ~ spl0_127
    | spl0_177 ),
    inference(sat_conversion,[],[f2114]) ).

cnf(s566,plain,
    ( ~ spl0_9
    | spl0_100
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2115]) ).

cnf(s569,plain,
    ( ~ spl0_52
    | spl0_68
    | ~ spl0_115
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f2135]) ).

cnf(s572,plain,
    ( ~ spl0_53
    | ~ spl0_129
    | ~ spl0_130
    | spl0_167 ),
    inference(sat_conversion,[],[f2154]) ).

cnf(s576,plain,
    ( ~ spl0_8
    | spl0_107
    | spl0_108
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2158]) ).

cnf(s578,plain,
    ( ~ spl0_8
    | spl0_74
    | ~ spl0_117
    | spl0_172 ),
    inference(sat_conversion,[],[f2160]) ).

cnf(s580,plain,
    ( ~ spl0_11
    | spl0_72
    | spl0_73
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f2162]) ).

cnf(s590,plain,
    ( ~ spl0_13
    | spl0_68
    | ~ spl0_115
    | spl0_183 ),
    inference(sat_conversion,[],[f2170]) ).

cnf(s592,plain,
    ( ~ spl0_15
    | spl0_107
    | spl0_108
    | spl0_163 ),
    inference(sat_conversion,[],[f2172]) ).

cnf(s595,plain,
    ( ~ spl0_15
    | spl0_72
    | spl0_73
    | spl0_181 ),
    inference(sat_conversion,[],[f2175]) ).

cnf(s599,plain,
    ( ~ spl0_19
    | ~ spl0_151
    | ~ spl0_152
    | spl0_166 ),
    inference(sat_conversion,[],[f2179]) ).

cnf(s602,plain,
    ( ~ spl0_19
    | spl0_78
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2182]) ).

cnf(s604,plain,
    ( ~ spl0_37
    | spl0_103
    | ~ spl0_140
    | spl0_170 ),
    inference(sat_conversion,[],[f2184]) ).

cnf(s607,plain,
    ( ~ spl0_25
    | spl0_103
    | ~ spl0_139
    | spl0_170 ),
    inference(sat_conversion,[],[f2187]) ).

cnf(s609,plain,
    ( ~ spl0_2
    | spl0_110
    | ~ spl0_148
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2189]) ).

cnf(s610,plain,
    ( ~ spl0_7
    | ~ spl0_123
    | ~ spl0_124
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f2190]) ).

cnf(s614,plain,
    spl0_3,
    inference(rat,[],[s154,s162,s174,s184]) ).

cnf(s616,plain,
    ( ~ spl0_20
    | ~ spl0_4 ),
    inference(rat,[],[s465,s150,s151,s152]) ).

cnf(s618,plain,
    ( ~ spl0_144
    | ~ spl0_143
    | spl0_105
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s233,s95,s130,s131,s41,s439,s75,s114,s115,s17,s9,s372,s259,s532,s616,s614]) ).

cnf(s619,plain,
    ( ~ spl0_42
    | ~ spl0_11 ),
    inference(rat,[],[s580,s64,s65,s107]) ).

cnf(s620,plain,
    ( ~ spl0_43
    | ~ spl0_38 ),
    inference(rat,[],[s496,s57,s58,s105]) ).

cnf(s622,plain,
    ( ~ spl0_25
    | spl0_20
    | spl0_1 ),
    inference(rat,[],[s375,s9,s607,s233,s95,s130,s131,s41,s478,s614]) ).

cnf(s625,plain,
    ( ~ spl0_40
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s618,s97,s134,s135]) ).

cnf(s626,plain,
    ( ~ spl0_36
    | ~ spl0_34 ),
    inference(rat,[],[s493,s144,s145,s146]) ).

cnf(s627,plain,
    ( spl0_16
    | spl0_36
    | spl0_20 ),
    inference(rat,[],[s9,s375,s233,s604,s95,s130,s131,s18,s41,s614]) ).

cnf(s628,plain,
    ( ~ spl0_35
    | ~ spl0_16 ),
    inference(rat,[],[s439,s75,s114,s115]) ).

cnf(s629,plain,
    ( spl0_165
    | spl0_40
    | spl0_99
    | ~ spl0_134
    | ~ spl0_135
    | ~ spl0_4 ),
    inference(rat,[],[s366,s463,s141,s142,s143,s30,s628,s627,s626,s27,s619,s21,s312,s506,s616,s614]) ).

cnf(s630,plain,
    ( ~ spl0_46
    | ~ spl0_9 ),
    inference(rat,[],[s566,s92,s127,s128]) ).

cnf(s631,plain,
    ( ~ spl0_64
    | ~ spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s462,s565,s117,s118]) ).

cnf(s632,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s253,s82,s83,s119,s155,s631,s3,s578,s485,s66,s108,s23,s604,s21,s375,s619,s9,s27,s233,s626,s95,s130,s131,s627,s41,s440,s629,s625,s91,s125,s126,s54,s622,s616,s1,s614]) ).

cnf(s633,plain,
    ( spl0_16
    | ~ spl0_4
    | spl0_20
    | spl0_1 ),
    inference(rat,[],[s259,s97,s134,s135,s21,s253,s82,s83,s119,s155,s631,s3,s578,s485,s66,s108,s23,s604,s375,s619,s9,s27,s233,s626,s95,s130,s131,s627,s41,s614]) ).

cnf(s634,plain,
    ( ~ spl0_4
    | spl0_20
    | spl0_1 ),
    inference(rat,[],[s366,s463,s141,s142,s143,s30,s506,s628,s440,s633,s126,s125,s91,s54,s622,s614]) ).

cnf(s635,plain,
    ( spl0_12
    | spl0_7
    | spl0_11
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s541,s76,s77,s78,s13,s491,s609,s102,s138,s139,s4,s7,s614]) ).

cnf(s636,plain,
    ( ~ spl0_51
    | ~ spl0_12 ),
    inference(rat,[],[s217,s84,s120,s121]) ).

cnf(s637,plain,
    ( spl0_16
    | spl0_20
    | spl0_1 ),
    inference(rat,[],[s259,s97,s134,s135,s21,s312,s407,s42,s636,s635,s533,s547,s46,s630,s3,s578,s485,s66,s108,s23,s604,s375,s619,s9,s27,s233,s626,s144,s145,s95,s130,s131,s627,s41,s632,s126,s125,s91,s54,s622,s634,s614]) ).

cnf(s638,plain,
    ( ~ spl0_17
    | ~ spl0_16
    | ~ spl0_2 ),
    inference(rat,[],[s609,s441,s102,s138,s139]) ).

cnf(s640,plain,
    ( ~ spl0_44
    | ~ spl0_2 ),
    inference(rat,[],[s411,s98,s136,s137]) ).

cnf(s641,plain,
    ( ~ spl0_63
    | ~ spl0_19 ),
    inference(rat,[],[s602,s70,s110,s111]) ).

cnf(s642,plain,
    ( spl0_20
    | spl0_1 ),
    inference(rat,[],[s201,s71,s72,s73,s52,s641,s42,s636,s4,s619,s24,s497,s235,s89,s90,s11,s2,s206,s207,s366,s141,s142,s143,s30,s506,s628,s440,s219,s637,s91,s125,s126,s54,s622,s614]) ).

cnf(s643,plain,
    ( ~ spl0_16
    | spl0_1 ),
    inference(rat,[],[s201,s71,s72,s73,s52,s641,s42,s636,s7,s2,s206,s207,s366,s141,s142,s143,s30,s503,s74,s112,s113,s51,s638,s628,s632,s614]) ).

cnf(s647,plain,
    ( ~ spl0_30
    | ~ spl0_52
    | ~ spl0_13 ),
    inference(rat,[],[s569,s590,s60,s106]) ).

cnf(s648,plain,
    ( spl0_5
    | ~ spl0_18
    | ~ spl0_42
    | spl0_1 ),
    inference(rat,[],[s285,s61,s62,s63,s56,s647,s46,s630,s3,s5,s576,s529,s592,s595,s6,s643,s107,s65,s64,s100,s99,s614]) ).

cnf(s649,plain,
    ( ~ spl0_62
    | ~ spl0_5 ),
    inference(rat,[],[s201,s71,s72,s73]) ).

cnf(s650,plain,
    ( ~ spl0_48
    | ~ spl0_7 ),
    inference(rat,[],[s207,s141,s142,s143]) ).

cnf(s651,plain,
    ( ~ spl0_28
    | ~ spl0_10 ),
    inference(rat,[],[s541,s76,s77,s78]) ).

cnf(s652,plain,
    ( ~ spl0_134
    | spl0_165
    | spl0_99
    | ~ spl0_42
    | spl0_11
    | spl0_1 ),
    inference(rat,[],[s308,s610,s75,s114,s115,s30,s506,s405,s13,s651,s650,s635,s4,s636,s42,s641,s52,s649,s648,s44,s312,s640,s632,s616,s642,s614]) ).

cnf(s653,plain,
    ( ~ spl0_26
    | ~ spl0_25 ),
    inference(rat,[],[s237,s79,s80,s116]) ).

cnf(s654,plain,
    ( spl0_26
    | spl0_11
    | spl0_1 ),
    inference(rat,[],[s13,s308,s651,s610,s635,s4,s75,s114,s115,s636,s33,s34,s632,s616,s642,s643,s614]) ).

cnf(s655,plain,
    ( spl0_99
    | ~ spl0_42
    | spl0_11
    | spl0_1 ),
    inference(rat,[],[s407,s652,s126,s125,s54,s653,s42,s636,s4,s223,s79,s502,s80,s632,s116,s654,s614]) ).

cnf(s656,plain,
    ( spl0_11
    | spl0_1 ),
    inference(rat,[],[s285,s61,s62,s63,s56,s647,s46,s630,s3,s576,s592,s25,s6,s99,s100,s620,s649,s44,s24,s52,s312,s655,s641,s205,s91,s42,s636,s125,s126,s4,s54,s223,s502,s653,s79,s80,s116,s654,s640,s632,s643,s614]) ).

cnf(s657,plain,
    ( spl0_51
    | spl0_1 ),
    inference(rat,[],[s285,s61,s62,s63,s56,s647,s46,s630,s3,s576,s592,s99,s100,s44,s312,s407,s25,s6,s91,s125,s126,s649,s54,s52,s653,s641,s34,s42,s640,s632,s643,s620,s24,s619,s656,s614]) ).

cnf(s658,plain,
    ( spl0_63
    | ~ spl0_134
    | spl0_1 ),
    inference(rat,[],[s3,s630,s576,s46,s592,s647,s99,s100,s50,s44,s308,s312,s610,s414,s75,s114,s115,s91,s126,s30,s154,s650,s2,s25,s6,s649,s52,s640,s632,s643,s620,s486,s505,s351,s121,s24,s619,s656,s120,s84,s657,s614]) ).

cnf(s659,plain,
    ( ~ spl0_45
    | spl0_1 ),
    inference(rat,[],[s6,s197,s285,s348,s61,s62,s63,s643,s24,s619,s656,s614]) ).

cnf(s660,plain,
    ( spl0_42
    | spl0_1 ),
    inference(rat,[],[s650,s154,s2,s125,s649,s658,s52,s641,s35,s659,s486,s351,s84,s120,s121,s657,s620,s24,s614]) ).

cnf(s661,plain,
    spl0_1,
    inference(rat,[],[s660,s619,s656]) ).

cnf(s662,plain,
    ~ spl0_23,
    inference(rat,[],[s537,s68,s69,s109,s661]) ).

cnf(s663,plain,
    spl0_43,
    inference(rat,[],[s188,s662]) ).

cnf(s667,plain,
    ~ spl0_38,
    inference(rat,[],[s620,s663]) ).

cnf(s668,plain,
    spl0_39,
    inference(rat,[],[s19,s662,s614,s667]) ).

cnf(s670,plain,
    ( spl0_54
    | ~ spl0_19 ),
    inference(rat,[],[s246,s544,s83,s119,s29,s463,s12,s599,s650,s142,s143,s653,s154,s54,s641,s668,s614,s662]) ).

cnf(s671,plain,
    ~ spl0_54,
    inference(rat,[],[s521,s91,s125,s126,s668]) ).

cnf(s672,plain,
    spl0_25,
    inference(rat,[],[s54,s614,s671]) ).

cnf(s673,plain,
    ~ spl0_19,
    inference(rat,[],[s670,s671]) ).

cnf(s674,plain,
    ~ spl0_26,
    inference(rat,[],[s653,s672]) ).

cnf(s675,plain,
    spl0_51,
    inference(rat,[],[s42,s614,s673]) ).

cnf(s676,plain,
    ~ spl0_21,
    inference(rat,[],[s359,s668,s673]) ).

cnf(s677,plain,
    spl0_130,
    inference(rat,[],[s121,s675]) ).

cnf(s678,plain,
    spl0_129,
    inference(rat,[],[s120,s675]) ).

cnf(s679,plain,
    ~ spl0_92,
    inference(rat,[],[s84,s675]) ).

cnf(s681,plain,
    spl0_14,
    inference(rat,[],[s10,s662,s614,s676]) ).

cnf(s682,plain,
    ( ~ spl0_7
    | spl0_35 ),
    inference(rat,[],[s420,s464,s148,s149,s38,s572,s549,s505,s30,s650,s195,s671,s614,s677,s678,s681,s679]) ).

cnf(s684,plain,
    ( ~ spl0_47
    | ~ spl0_27 ),
    inference(rat,[],[s246,s544,s83,s119,s668]) ).

cnf(s685,plain,
    ( ~ spl0_48
    | ~ spl0_16 ),
    inference(rat,[],[s366,s463,s141,s142,s143,s29,s684,s12,s682,s628,s662,s614,s674]) ).

cnf(s686,plain,
    ~ spl0_16,
    inference(rat,[],[s30,s549,s685,s631,s155,s616,s29,s684,s12,s682,s628,s614,s681,s662,s674]) ).

cnf(s687,plain,
    spl0_57,
    inference(rat,[],[s41,s614,s686]) ).

cnf(s688,plain,
    spl0_35,
    inference(rat,[],[s33,s674,s614,s686]) ).

cnf(s689,plain,
    spl0_140,
    inference(rat,[],[s131,s687]) ).

cnf(s690,plain,
    spl0_139,
    inference(rat,[],[s130,s687]) ).

cnf(s691,plain,
    ~ spl0_103,
    inference(rat,[],[s95,s687]) ).

cnf(s693,plain,
    spl0_123,
    inference(rat,[],[s114,s688]) ).

cnf(s694,plain,
    ~ spl0_83,
    inference(rat,[],[s75,s688]) ).

cnf(s695,plain,
    ~ spl0_22,
    inference(rat,[],[s233,s691,s689,s690]) ).

cnf(s697,plain,
    ~ spl0_180,
    inference(rat,[],[s356,s668,s693,s694]) ).

cnf(s698,plain,
    spl0_20,
    inference(rat,[],[s9,s614,s676,s695]) ).

cnf(s699,plain,
    ~ spl0_27,
    inference(rat,[],[s308,s694,s693,s697]) ).

cnf(s703,plain,
    ~ spl0_4,
    inference(rat,[],[s616,s698]) ).

cnf(s704,plain,
    spl0_7,
    inference(rat,[],[s12,s674,s614,s699]) ).

cnf(s708,plain,
    $false,
    inference(rat,[],[s195,s681,s703,s704]) ).

fof(f2194,plain,
    $false,
    inference(avatar_sat_refutation,[],[s708]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN458-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.16  % Computer : n009.cluster.edu
% 0.11/0.16  % Model    : x86_64 x86_64
% 0.11/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16  % Memory   : 8046.5625MB
% 0.11/0.16  % OS       : Linux 6.8.0-71-generic
% 0.11/0.17  % CPULimit : 300
% 0.11/0.17  % WCLimit  : 300
% 0.11/0.17  % DateTime : Mon Sep 28 16:06:16 UTC 2026
% 0.11/0.17  % CPUTime  : 
% 0.11/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.21  Running first-order theorem proving
% 0.11/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.58/1.21  % (3190426)Input is clausal, will run a generic CNF schedule.
% 1.58/1.21  % (3190456)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1022125455:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.58/1.21  % (3190459)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1748342306:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.58/1.21  % (3190455)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1868417706:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.58/1.21  % (3190458)lrs+10_1_sil=8000:sp=occurrence:random_seed=4017401626:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.58/1.21  % (3190453)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=2336572049:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.58/1.21  % (3190461)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2688653713:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.58/1.21  % (3190462)dis-21_1_sil=8000:lcm=predicate:random_seed=2266975465: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)
% 1.58/1.21  % (3190462)First to succeed.
% 1.58/1.21  % (3190462)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3190426"
% 1.58/1.21  % (3190459)Also succeeded, but the first one will report.
% 1.58/1.21  % (3190461)Also succeeded, but the first one will report.
% 1.58/1.21  % (3190458)Also succeeded, but the first one will report.
% 1.58/1.21  % (3190462)Refutation found. Thanks to Tanya!
% 1.58/1.21  % SZS status Unsatisfiable for theBenchmark
% 1.58/1.21  % SZS output start Proof for theBenchmark
% See solution above
% 3.81/1.31  % (3190462)------------------------------
% 3.81/1.31  % (3190462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.31  % (3190462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.31  % (3190462)CaDiCaL version: 2.1.3
% 3.81/1.31  % (3190462)Termination reason: Refutation
% 3.81/1.31  % (3190462)Time elapsed: 0.032 s
% 3.81/1.31  % (3190462)Peak memory usage: 90 MB
% 3.81/1.31  % (3190462)Instructions burned: 50 (million)
% 3.81/1.31  % (3190462)------------------------------
% 3.81/1.31  % (3190462)------------------------------
% 3.81/1.31  % (3190426)Success in time 0.438 s
% 3.81/1.31  % Vampire exiting
%------------------------------------------------------------------------------