↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN444-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% 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 02:08:35 PM UTC 2026

% Result   : Unsatisfiable 0.21s 0.33s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :  260
% Syntax   : Number of formulae    :  964 (  22 unt; 142 def)
%            Number of atoms       : 3144 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3796 (1616   ~;2038   |;   0   &)
%                                         ( 142 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  173 ( 172 usr; 169 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  220 (   0 sgn 220   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
    ( ~ hskp25
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f26,negated_conjecture,
    ( ~ hskp3
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).

fof(f27,negated_conjecture,
    ( ~ hskp2
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).

fof(f30,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

fof(f31,negated_conjecture,
    ( hskp15
    | hskp7
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

fof(f32,negated_conjecture,
    ( hskp24
    | hskp8
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f34,negated_conjecture,
    ( hskp25
    | hskp2
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f36,negated_conjecture,
    ( ~ hskp28
    | c0_1(a246) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( ~ hskp28
    | c1_1(a246) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( ~ hskp28
    | c2_1(a246) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( ~ hskp27
    | c0_1(a232) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp27
    | c2_1(a232) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp27
    | c3_1(a232) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp26
    | c1_1(a223) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp26
    | c2_1(a223) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp26
    | c3_1(a223) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f46,negated_conjecture,
    ( ~ hskp24
    | c0_1(a282) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp22
    | c1_1(a263) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp22
    | c3_1(a263) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f50,negated_conjecture,
    ( ~ hskp20
    | c0_1(a259) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp20
    | c1_1(a259) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp19
    | c1_1(a252) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp18
    | c0_1(a247) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp18
    | c3_1(a247) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f57,negated_conjecture,
    ( ~ hskp15
    | c0_1(a238) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp15
    | c2_1(a238) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp14
    | c0_1(a237) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp14
    | c2_1(a237) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp11
    | c2_1(a230) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp11
    | c3_1(a230) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp10
    | c2_1(a229) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp10
    | c3_1(a229) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f66,negated_conjecture,
    ( ~ hskp8
    | c0_1(a225) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp7
    | c0_1(a224) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp7
    | c3_1(a224) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp6
    | c0_1(a221) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp6
    | c1_1(a221) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f72,negated_conjecture,
    ( ~ hskp4
    | c3_1(a218) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp3
    | c3_1(a216) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp2
    | c2_1(a215) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp1
    | c1_1(a214) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp1
    | c2_1(a214) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp0
    | c1_1(a213) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp0
    | c3_1(a213) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f81,negated_conjecture,
    ( ~ c1_1(a282)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ c3_1(a282)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ c0_1(a278)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ c2_1(a278)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ c3_1(a278)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ c0_1(a263)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f89,negated_conjecture,
    ( ~ c3_1(a259)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c2_1(a252)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ c3_1(a252)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ c2_1(a247)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c0_1(a243)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c1_1(a243)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c2_1(a243)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f97,negated_conjecture,
    ( ~ c3_1(a238)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c1_1(a237)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c1_1(a236)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c2_1(a236)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c3_1(a236)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c0_1(a235)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c1_1(a235)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c3_1(a235)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c1_1(a230)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c0_1(a229)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f109,negated_conjecture,
    ( ~ c2_1(a225)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c3_1(a225)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c1_1(a224)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c2_1(a221)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f115,negated_conjecture,
    ( ~ c0_1(a218)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c1_1(a218)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c0_1(a216)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c2_1(a216)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c0_1(a215)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c1_1(a215)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c0_1(a214)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c2_1(a213)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | hskp2
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp8
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp1
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f127,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp10
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp15
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f131,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp14
      | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp28
      | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp28
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp20
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp22
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp0
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp4
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f143,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f146,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f147,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f150,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f153,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f155,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f174,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f178,plain,
    ( hskp25
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f4]) ).

fof(f189,plain,
    ( hskp2
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f192,plain,
    ( ~ hskp15
    | ~ hskp7
    | hskp11 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f193,plain,
    ( hskp24
    | ~ hskp8
    | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f195,plain,
    ( ~ hskp25
    | ~ hskp2
    | hskp3 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f197,plain,
    ( ~ hskp28
    | ~ c1_1(a246) ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f198,plain,
    ( ~ hskp28
    | ~ c2_1(a246) ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f199,plain,
    ( ~ hskp27
    | ~ c2_1(a232) ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f200,plain,
    ( hskp26
    | ~ c1_1(a223) ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f201,plain,
    ( hskp26
    | ~ c2_1(a223) ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f202,plain,
    ( hskp26
    | c3_1(a223) ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f204,plain,
    ( hskp22
    | ~ c1_1(a263) ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f205,plain,
    ( hskp22
    | c3_1(a263) ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f207,plain,
    ( ~ hskp20
    | ~ c1_1(a259) ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f208,plain,
    ( hskp19
    | ~ c1_1(a252) ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f211,plain,
    ( hskp15
    | c0_1(a238) ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f212,plain,
    ( hskp15
    | ~ c2_1(a238) ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f213,plain,
    ( ~ hskp14
    | ~ c2_1(a237) ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f214,plain,
    ( ~ hskp11
    | ~ c2_1(a230) ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f215,plain,
    ( hskp10
    | ~ c2_1(a229) ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f216,plain,
    ( hskp10
    | c3_1(a229) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f218,plain,
    ( hskp8
    | c0_1(a225) ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f219,plain,
    ( hskp7
    | c0_1(a224) ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f220,plain,
    ( hskp7
    | c3_1(a224) ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f221,plain,
    ( ~ hskp6
    | ~ c1_1(a221) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f223,plain,
    ( hskp2
    | ~ c2_1(a215) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f224,plain,
    ( hskp1
    | ~ c1_1(a214) ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f225,plain,
    ( hskp1
    | ~ c2_1(a214) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f226,plain,
    ( hskp0
    | ~ c1_1(a213) ),
    inference(consistent_polarity_flipping,[],[f77]) ).

fof(f227,plain,
    ( hskp0
    | c3_1(a213) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f230,plain,
    ( c1_1(a282)
    | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f231,plain,
    ( c2_1(a278)
    | ~ hskp23 ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f232,plain,
    ( ~ c0_1(a263)
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f235,plain,
    ( c2_1(a252)
    | hskp19 ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f236,plain,
    ( ~ c3_1(a252)
    | hskp19 ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f237,plain,
    ( c2_1(a247)
    | ~ hskp18 ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f238,plain,
    ( ~ c0_1(a243)
    | hskp17 ),
    inference(consistent_polarity_flipping,[],[f93]) ).

fof(f239,plain,
    ( c1_1(a243)
    | hskp17 ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f240,plain,
    ( c2_1(a243)
    | hskp17 ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f241,plain,
    ( ~ c3_1(a238)
    | hskp15 ),
    inference(consistent_polarity_flipping,[],[f97]) ).

fof(f242,plain,
    ( c1_1(a237)
    | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f243,plain,
    ( c1_1(a236)
    | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f244,plain,
    ( c2_1(a236)
    | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f245,plain,
    ( c1_1(a235)
    | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f246,plain,
    ( c1_1(a230)
    | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f247,plain,
    ( ~ c0_1(a229)
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f250,plain,
    ( c2_1(a225)
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f109]) ).

fof(f251,plain,
    ( ~ c3_1(a225)
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f252,plain,
    ( c1_1(a224)
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f253,plain,
    ( c2_1(a221)
    | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f256,plain,
    ( c1_1(a218)
    | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f257,plain,
    ( c2_1(a216)
    | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f258,plain,
    ( ~ c0_1(a215)
    | hskp2 ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f259,plain,
    ( c1_1(a215)
    | hskp2 ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f260,plain,
    ( ~ c0_1(a214)
    | hskp1 ),
    inference(consistent_polarity_flipping,[],[f121]) ).

fof(f261,plain,
    ( c2_1(a213)
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f262,plain,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ hskp2
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f263,plain,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ hskp8
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f264,plain,
    ! [X0] :
      ( c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ hskp1
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f125]) ).

fof(f266,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ hskp10
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f267,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ hskp15
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f268,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp27 ),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f270,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp14
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f272,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | hskp28
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f133]) ).

fof(f273,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | hskp28
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f276,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp20
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f137]) ).

fof(f277,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ hskp22
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | ~ hskp0
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f280,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp4
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f141]) ).

fof(f282,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f283,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f285,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp6 ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f286,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f289,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f290,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f292,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp27 ),
    inference(consistent_polarity_flipping,[],[f153]) ).

fof(f294,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f295,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f297,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | c3_1(X1)
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f298,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | c3_1(X1)
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f299,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X1)
      | hskp27 ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f300,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f161]) ).

fof(f301,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | hskp6 ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f302,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f303,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f305,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f306,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f307,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | c2_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f308,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2) ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f309,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c2_1(X2)
      | c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f310,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c0_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f311,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X1)
      | c0_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f313,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X2) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f314,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f315,plain,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X2)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c0_1(X2) ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f317,definition,
    ( spl0_1
  <=> ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f318,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f320,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f321,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f323,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f327,definition,
    ( spl0_4
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f328,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f329,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f315,f327,f323,f320,f317]) ).

fof(f331,definition,
    ( spl0_5
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f332,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f334,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f335,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f337,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f338,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f339,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f314,f337,f323,f334,f331]) ).

fof(f341,definition,
    ( spl0_8
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f342,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f344,definition,
    ( spl0_9
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f345,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f346,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f313,f337,f323,f344,f341]) ).

fof(f348,definition,
    ( spl0_10
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f349,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f354,definition,
    ( spl0_12
  <=> ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f355,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f358,definition,
    ( spl0_13
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f359,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f361,definition,
    ( spl0_14
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f362,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f364,definition,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f365,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f366,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f311,f364,f323,f361,f358]) ).

fof(f368,definition,
    ( spl0_16
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f369,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f370,plain,
    ( spl0_13
    | spl0_2
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f310,f368,f323,f320,f358]) ).

fof(f372,definition,
    ( spl0_17
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f373,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f375,definition,
    ( spl0_18
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f376,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f378,definition,
    ( spl0_19
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f379,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f380,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f309,f378,f323,f375,f372]) ).

fof(f382,definition,
    ( spl0_20
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f383,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f384,plain,
    ( spl0_20
    | spl0_12
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f308,f368,f323,f354,f382]) ).

fof(f386,definition,
    ( spl0_21
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f387,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f389,definition,
    ( spl0_22
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f390,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f391,plain,
    ( spl0_21
    | spl0_12
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f307,f389,f323,f354,f386]) ).

fof(f393,definition,
    ( spl0_23
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f397,definition,
    ( spl0_24
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f398,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f399,plain,
    ( spl0_23
    | spl0_7
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f306,f397,f323,f337,f393]) ).

fof(f401,definition,
    ( spl0_25
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f404,plain,
    ( spl0_25
    | spl0_6
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f305,f397,f323,f334,f401]) ).

fof(f406,definition,
    ( spl0_26
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f411,definition,
    ( spl0_27
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f415,definition,
    ( spl0_28
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f416,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f417,plain,
    ( ~ spl0_27
    | spl0_28
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f303,f361,f323,f415,f411]) ).

fof(f419,definition,
    ( spl0_29
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f422,plain,
    ( spl0_29
    | spl0_2
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f302,f378,f323,f320,f419]) ).

fof(f424,definition,
    ( spl0_30
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f428,definition,
    ( spl0_31
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f429,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f430,plain,
    ( spl0_30
    | spl0_1
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f301,f428,f323,f317,f424]) ).

fof(f432,definition,
    ( spl0_32
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f435,plain,
    ( spl0_32
    | spl0_9
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f300,f361,f323,f344,f432]) ).

fof(f437,definition,
    ( spl0_33
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f440,plain,
    ( spl0_33
    | spl0_14
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f299,f364,f323,f361,f437]) ).

fof(f442,definition,
    ( spl0_34
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f445,plain,
    ( spl0_34
    | spl0_12
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f298,f368,f323,f354,f442]) ).

fof(f447,definition,
    ( spl0_35
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f450,plain,
    ( spl0_35
    | spl0_12
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f297,f389,f323,f354,f447]) ).

fof(f456,definition,
    ( spl0_37
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f460,definition,
    ( spl0_38
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f461,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f462,plain,
    ( ~ spl0_37
    | spl0_38
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f295,f378,f323,f460,f456]) ).

fof(f464,definition,
    ( spl0_39
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f467,plain,
    ( ~ spl0_39
    | spl0_38
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f294,f378,f323,f460,f464]) ).

fof(f473,plain,
    ( spl0_33
    | spl0_18
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f292,f415,f323,f375,f437]) ).

fof(f475,definition,
    ( spl0_41
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f480,definition,
    ( spl0_42
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f483,plain,
    ( ~ spl0_42
    | spl0_17
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f290,f397,f323,f372,f480]) ).

fof(f484,plain,
    ( spl0_20
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f289,f397,f323,f382]) ).

fof(f490,definition,
    ( spl0_44
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f491,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f494,definition,
    ( spl0_45
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f498,definition,
    ( spl0_46
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f499,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f502,definition,
    ( spl0_47
  <=> ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f503,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f504,plain,
    ( ~ spl0_26
    | spl0_17
    | ~ spl0_3
    | spl0_47 ),
    inference(avatar_split_clause,[],[f286,f502,f323,f372,f406]) ).

fof(f505,plain,
    ( spl0_30
    | spl0_17
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f285,f317,f323,f372,f424]) ).

fof(f507,definition,
    ( spl0_48
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f508,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f510,plain,
    ( ~ spl0_39
    | spl0_46
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f283,f428,f323,f498,f464]) ).

fof(f511,plain,
    ( ~ spl0_39
    | spl0_17
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f282,f364,f323,f372,f464]) ).

fof(f513,plain,
    ( spl0_32
    | spl0_41
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f280,f334,f323,f475,f432]) ).

fof(f515,definition,
    ( spl0_49
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f518,plain,
    ( spl0_49
    | ~ spl0_39
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f279,f334,f323,f464,f515]) ).

fof(f520,definition,
    ( spl0_50
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f525,definition,
    ( spl0_51
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f528,plain,
    ( spl0_49
    | ~ spl0_51
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f277,f368,f323,f525,f515]) ).

fof(f529,plain,
    ( spl0_32
    | spl0_23
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f276,f368,f323,f393,f432]) ).

fof(f536,plain,
    ( spl0_34
    | spl0_35
    | ~ spl0_3
    | spl0_44 ),
    inference(avatar_split_clause,[],[f273,f490,f323,f447,f442]) ).

fof(f538,definition,
    ( spl0_53
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f541,plain,
    ( ~ spl0_53
    | spl0_35
    | ~ spl0_3
    | spl0_44 ),
    inference(avatar_split_clause,[],[f272,f490,f323,f447,f538]) ).

fof(f543,definition,
    ( spl0_54
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f552,definition,
    ( spl0_56
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f555,plain,
    ( ~ spl0_53
    | spl0_56
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f270,f344,f323,f552,f538]) ).

fof(f557,definition,
    ( spl0_57
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f562,definition,
    ( spl0_58
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f563,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f564,plain,
    ( spl0_33
    | ~ spl0_3
    | spl0_58 ),
    inference(avatar_split_clause,[],[f268,f562,f323,f437]) ).

fof(f565,plain,
    ( ~ spl0_39
    | ~ spl0_53
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f267,f364,f323,f538,f464]) ).

fof(f566,plain,
    ( spl0_29
    | ~ spl0_57
    | ~ spl0_3
    | spl0_48 ),
    inference(avatar_split_clause,[],[f266,f507,f323,f557,f419]) ).

fof(f568,plain,
    ( spl0_41
    | ~ spl0_45
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f264,f386,f323,f494,f475]) ).

fof(f569,plain,
    ( ~ spl0_39
    | ~ spl0_50
    | spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f263,f323,f372,f520,f464]) ).

fof(f570,plain,
    ( spl0_25
    | ~ spl0_54
    | spl0_46
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f262,f323,f498,f543,f401]) ).

fof(f572,definition,
    ( spl0_59
  <=> c2_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f574,plain,
    ( c2_1(a213)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f575,plain,
    ( spl0_39
    | spl0_59 ),
    inference(avatar_split_clause,[],[f261,f572,f464]) ).

fof(f577,definition,
    ( spl0_60
  <=> c0_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f580,plain,
    ( spl0_45
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f260,f577,f494]) ).

fof(f582,definition,
    ( spl0_61
  <=> c1_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f585,plain,
    ( spl0_54
    | spl0_61 ),
    inference(avatar_split_clause,[],[f259,f582,f543]) ).

fof(f587,definition,
    ( spl0_62
  <=> c0_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f590,plain,
    ( spl0_54
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f258,f587,f543]) ).

fof(f592,definition,
    ( spl0_63
  <=> c2_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f594,plain,
    ( c2_1(a216)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f595,plain,
    ( ~ spl0_25
    | spl0_63 ),
    inference(avatar_split_clause,[],[f257,f592,f401]) ).

fof(f597,definition,
    ( spl0_64
  <=> c0_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f600,plain,
    ( ~ spl0_25
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f117,f597,f401]) ).

fof(f602,definition,
    ( spl0_65
  <=> c1_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f605,plain,
    ( ~ spl0_41
    | spl0_65 ),
    inference(avatar_split_clause,[],[f256,f602,f475]) ).

fof(f607,definition,
    ( spl0_66
  <=> c0_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f610,plain,
    ( ~ spl0_41
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f115,f607,f475]) ).

fof(f622,definition,
    ( spl0_69
  <=> c2_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f624,plain,
    ( c2_1(a221)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f625,plain,
    ( ~ spl0_30
    | spl0_69 ),
    inference(avatar_split_clause,[],[f253,f622,f424]) ).

fof(f627,definition,
    ( spl0_70
  <=> c1_1(a224) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f630,plain,
    ( spl0_42
    | spl0_70 ),
    inference(avatar_split_clause,[],[f252,f627,f480]) ).

fof(f632,definition,
    ( spl0_71
  <=> c3_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f634,plain,
    ( ~ c3_1(a225)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f635,plain,
    ( spl0_50
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f251,f632,f520]) ).

fof(f637,definition,
    ( spl0_72
  <=> c2_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f640,plain,
    ( spl0_50
    | spl0_72 ),
    inference(avatar_split_clause,[],[f250,f637,f520]) ).

fof(f652,definition,
    ( spl0_75
  <=> c0_1(a229) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f655,plain,
    ( spl0_57
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f247,f652,f557]) ).

fof(f657,definition,
    ( spl0_76
  <=> c1_1(a230) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f660,plain,
    ( ~ spl0_29
    | spl0_76 ),
    inference(avatar_split_clause,[],[f246,f657,f419]) ).

fof(f662,definition,
    ( spl0_77
  <=> c3_1(a235) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f664,plain,
    ( ~ c3_1(a235)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f665,plain,
    ( ~ spl0_49
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f104,f662,f515]) ).

fof(f667,definition,
    ( spl0_78
  <=> c1_1(a235) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f670,plain,
    ( ~ spl0_49
    | spl0_78 ),
    inference(avatar_split_clause,[],[f245,f667,f515]) ).

fof(f672,definition,
    ( spl0_79
  <=> c0_1(a235) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f675,plain,
    ( ~ spl0_49
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f102,f672,f515]) ).

fof(f677,definition,
    ( spl0_80
  <=> c3_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f679,plain,
    ( ~ c3_1(a236)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f680,plain,
    ( ~ spl0_32
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f101,f677,f432]) ).

fof(f682,definition,
    ( spl0_81
  <=> c2_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f684,plain,
    ( c2_1(a236)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f685,plain,
    ( ~ spl0_32
    | spl0_81 ),
    inference(avatar_split_clause,[],[f244,f682,f432]) ).

fof(f687,definition,
    ( spl0_82
  <=> c1_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f690,plain,
    ( ~ spl0_32
    | spl0_82 ),
    inference(avatar_split_clause,[],[f243,f687,f432]) ).

fof(f692,definition,
    ( spl0_83
  <=> c1_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f695,plain,
    ( ~ spl0_56
    | spl0_83 ),
    inference(avatar_split_clause,[],[f242,f692,f552]) ).

fof(f697,definition,
    ( spl0_84
  <=> c3_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f699,plain,
    ( ~ c3_1(a238)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f700,plain,
    ( spl0_53
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f241,f697,f538]) ).

fof(f707,definition,
    ( spl0_86
  <=> c2_1(a243) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f709,plain,
    ( c2_1(a243)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f710,plain,
    ( spl0_37
    | spl0_86 ),
    inference(avatar_split_clause,[],[f240,f707,f456]) ).

fof(f712,definition,
    ( spl0_87
  <=> c1_1(a243) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f715,plain,
    ( spl0_37
    | spl0_87 ),
    inference(avatar_split_clause,[],[f239,f712,f456]) ).

fof(f717,definition,
    ( spl0_88
  <=> c0_1(a243) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f720,plain,
    ( spl0_37
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f238,f717,f456]) ).

fof(f722,definition,
    ( spl0_89
  <=> c2_1(a247) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f724,plain,
    ( c2_1(a247)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f725,plain,
    ( ~ spl0_34
    | spl0_89 ),
    inference(avatar_split_clause,[],[f237,f722,f442]) ).

fof(f727,definition,
    ( spl0_90
  <=> c3_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f729,plain,
    ( ~ c3_1(a252)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f730,plain,
    ( spl0_27
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f236,f727,f411]) ).

fof(f732,definition,
    ( spl0_91
  <=> c2_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f734,plain,
    ( c2_1(a252)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f735,plain,
    ( spl0_27
    | spl0_91 ),
    inference(avatar_split_clause,[],[f235,f732,f411]) ).

fof(f737,definition,
    ( spl0_92
  <=> c3_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f739,plain,
    ( ~ c3_1(a259)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f740,plain,
    ( ~ spl0_23
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f89,f737,f393]) ).

fof(f752,definition,
    ( spl0_95
  <=> c0_1(a263) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f755,plain,
    ( spl0_51
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f232,f752,f525]) ).

fof(f757,definition,
    ( spl0_96
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f761,definition,
    ( spl0_97
  <=> c3_1(a278) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f763,plain,
    ( ~ c3_1(a278)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f764,plain,
    ( ~ spl0_96
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f85,f761,f757]) ).

fof(f766,definition,
    ( spl0_98
  <=> c2_1(a278) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f769,plain,
    ( ~ spl0_96
    | spl0_98 ),
    inference(avatar_split_clause,[],[f231,f766,f757]) ).

fof(f771,definition,
    ( spl0_99
  <=> c0_1(a278) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f774,plain,
    ( ~ spl0_96
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f83,f771,f757]) ).

fof(f776,definition,
    ( spl0_100
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f780,definition,
    ( spl0_101
  <=> c3_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f782,plain,
    ( ~ c3_1(a282)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f783,plain,
    ( ~ spl0_100
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f82,f780,f776]) ).

fof(f785,definition,
    ( spl0_102
  <=> c1_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f788,plain,
    ( ~ spl0_100
    | spl0_102 ),
    inference(avatar_split_clause,[],[f230,f785,f776]) ).

fof(f790,definition,
    ( spl0_103
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f804,definition,
    ( spl0_106
  <=> c3_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f806,plain,
    ( c3_1(a213)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f807,plain,
    ( spl0_106
    | spl0_39 ),
    inference(avatar_split_clause,[],[f227,f464,f804]) ).

fof(f809,definition,
    ( spl0_107
  <=> c1_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f812,plain,
    ( ~ spl0_107
    | spl0_39 ),
    inference(avatar_split_clause,[],[f226,f464,f809]) ).

fof(f814,definition,
    ( spl0_108
  <=> c2_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f816,plain,
    ( ~ c2_1(a214)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f817,plain,
    ( ~ spl0_108
    | spl0_45 ),
    inference(avatar_split_clause,[],[f225,f494,f814]) ).

fof(f819,definition,
    ( spl0_109
  <=> c1_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f822,plain,
    ( ~ spl0_109
    | spl0_45 ),
    inference(avatar_split_clause,[],[f224,f494,f819]) ).

fof(f824,definition,
    ( spl0_110
  <=> c2_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f826,plain,
    ( ~ c2_1(a215)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f827,plain,
    ( ~ spl0_110
    | spl0_54 ),
    inference(avatar_split_clause,[],[f223,f543,f824]) ).

fof(f829,definition,
    ( spl0_111
  <=> c3_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f831,plain,
    ( c3_1(a216)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f832,plain,
    ( spl0_111
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f73,f401,f829]) ).

fof(f834,definition,
    ( spl0_112
  <=> c3_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f836,plain,
    ( c3_1(a218)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f837,plain,
    ( spl0_112
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f72,f475,f834]) ).

fof(f844,definition,
    ( spl0_114
  <=> c1_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f847,plain,
    ( ~ spl0_114
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f221,f424,f844]) ).

fof(f849,definition,
    ( spl0_115
  <=> c0_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f852,plain,
    ( spl0_115
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f69,f424,f849]) ).

fof(f854,definition,
    ( spl0_116
  <=> c3_1(a224) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f856,plain,
    ( c3_1(a224)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f857,plain,
    ( spl0_116
    | spl0_42 ),
    inference(avatar_split_clause,[],[f220,f480,f854]) ).

fof(f859,definition,
    ( spl0_117
  <=> c0_1(a224) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f862,plain,
    ( spl0_117
    | spl0_42 ),
    inference(avatar_split_clause,[],[f219,f480,f859]) ).

fof(f864,definition,
    ( spl0_118
  <=> c0_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f867,plain,
    ( spl0_118
    | spl0_50 ),
    inference(avatar_split_clause,[],[f218,f520,f864]) ).

fof(f874,definition,
    ( spl0_120
  <=> c3_1(a229) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f876,plain,
    ( c3_1(a229)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f877,plain,
    ( spl0_120
    | spl0_57 ),
    inference(avatar_split_clause,[],[f216,f557,f874]) ).

fof(f879,definition,
    ( spl0_121
  <=> c2_1(a229) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f881,plain,
    ( ~ c2_1(a229)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f882,plain,
    ( ~ spl0_121
    | spl0_57 ),
    inference(avatar_split_clause,[],[f215,f557,f879]) ).

fof(f884,definition,
    ( spl0_122
  <=> c3_1(a230) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f886,plain,
    ( c3_1(a230)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f887,plain,
    ( spl0_122
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f62,f419,f884]) ).

fof(f889,definition,
    ( spl0_123
  <=> c2_1(a230) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f892,plain,
    ( ~ spl0_123
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f214,f419,f889]) ).

fof(f894,definition,
    ( spl0_124
  <=> c2_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f896,plain,
    ( ~ c2_1(a237)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f897,plain,
    ( ~ spl0_124
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f213,f552,f894]) ).

fof(f899,definition,
    ( spl0_125
  <=> c0_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f902,plain,
    ( spl0_125
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f59,f552,f899]) ).

fof(f904,definition,
    ( spl0_126
  <=> c2_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f906,plain,
    ( ~ c2_1(a238)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f907,plain,
    ( ~ spl0_126
    | spl0_53 ),
    inference(avatar_split_clause,[],[f212,f538,f904]) ).

fof(f909,definition,
    ( spl0_127
  <=> c0_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f912,plain,
    ( spl0_127
    | spl0_53 ),
    inference(avatar_split_clause,[],[f211,f538,f909]) ).

fof(f924,definition,
    ( spl0_130
  <=> c3_1(a247) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f926,plain,
    ( c3_1(a247)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f927,plain,
    ( spl0_130
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f54,f442,f924]) ).

fof(f929,definition,
    ( spl0_131
  <=> c0_1(a247) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f932,plain,
    ( spl0_131
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f53,f442,f929]) ).

fof(f934,definition,
    ( spl0_132
  <=> c1_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f937,plain,
    ( ~ spl0_132
    | spl0_27 ),
    inference(avatar_split_clause,[],[f208,f411,f934]) ).

fof(f939,definition,
    ( spl0_133
  <=> c1_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f942,plain,
    ( ~ spl0_133
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f207,f393,f939]) ).

fof(f944,definition,
    ( spl0_134
  <=> c0_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f947,plain,
    ( spl0_134
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f50,f393,f944]) ).

fof(f954,definition,
    ( spl0_136
  <=> c3_1(a263) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f956,plain,
    ( c3_1(a263)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f957,plain,
    ( spl0_136
    | spl0_51 ),
    inference(avatar_split_clause,[],[f205,f525,f954]) ).

fof(f959,definition,
    ( spl0_137
  <=> c1_1(a263) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f962,plain,
    ( ~ spl0_137
    | spl0_51 ),
    inference(avatar_split_clause,[],[f204,f525,f959]) ).

fof(f964,definition,
    ( spl0_138
  <=> c0_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f967,plain,
    ( spl0_138
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f46,f776,f964]) ).

fof(f974,definition,
    ( spl0_140
  <=> c3_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f976,plain,
    ( c3_1(a223)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f977,plain,
    ( spl0_140
    | spl0_26 ),
    inference(avatar_split_clause,[],[f202,f406,f974]) ).

fof(f979,definition,
    ( spl0_141
  <=> c2_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f982,plain,
    ( ~ spl0_141
    | spl0_26 ),
    inference(avatar_split_clause,[],[f201,f406,f979]) ).

fof(f984,definition,
    ( spl0_142
  <=> c1_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f987,plain,
    ( ~ spl0_142
    | spl0_26 ),
    inference(avatar_split_clause,[],[f200,f406,f984]) ).

fof(f989,definition,
    ( spl0_143
  <=> c3_1(a232) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f991,plain,
    ( c3_1(a232)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f992,plain,
    ( spl0_143
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f41,f437,f989]) ).

fof(f994,definition,
    ( spl0_144
  <=> c2_1(a232) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f996,plain,
    ( ~ c2_1(a232)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f997,plain,
    ( ~ spl0_144
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f199,f437,f994]) ).

fof(f999,definition,
    ( spl0_145
  <=> c0_1(a232) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1002,plain,
    ( spl0_145
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f39,f437,f999]) ).

fof(f1004,definition,
    ( spl0_146
  <=> c2_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1006,plain,
    ( ~ c2_1(a246)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f1007,plain,
    ( ~ spl0_146
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f198,f447,f1004]) ).

fof(f1009,definition,
    ( spl0_147
  <=> c1_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1012,plain,
    ( ~ spl0_147
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f197,f447,f1009]) ).

fof(f1014,definition,
    ( spl0_148
  <=> c0_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1017,plain,
    ( spl0_148
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f36,f447,f1014]) ).

fof(f1019,plain,
    ( spl0_25
    | ~ spl0_54
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f195,f790,f543,f401]) ).

fof(f1021,plain,
    ( ~ spl0_57
    | ~ spl0_50
    | spl0_100 ),
    inference(avatar_split_clause,[],[f193,f776,f520,f557]) ).

fof(f1022,plain,
    ( spl0_29
    | ~ spl0_42
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f192,f538,f480,f419]) ).

fof(f1023,plain,
    ( spl0_96
    | spl0_34
    | spl0_23 ),
    inference(avatar_split_clause,[],[f30,f393,f442,f757]) ).

fof(f1026,plain,
    ( spl0_3
    | spl0_54 ),
    inference(avatar_split_clause,[],[f189,f543,f323]) ).

fof(f1027,plain,
    ( spl0_3
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f26,f401,f323]) ).

fof(f1049,plain,
    ( spl0_3
    | spl0_103 ),
    inference(avatar_split_clause,[],[f178,f790,f323]) ).

fof(f1054,plain,
    ( ~ c0_1(a236)
    | ~ c1_1(a236)
    | ~ spl0_2
    | ~ spl0_81 ),
    inference(resolution,[],[f321,f684]) ).

fof(f1057,definition,
    ( spl0_149
  <=> c0_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1072,plain,
    ( ~ c0_1(a252)
    | c1_1(a252)
    | ~ spl0_6
    | spl0_90 ),
    inference(resolution,[],[f335,f729]) ).

fof(f1088,definition,
    ( spl0_151
  <=> c0_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1099,definition,
    ( spl0_153
  <=> c0_1(a230) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1109,definition,
    ( spl0_155
  <=> c0_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1112,plain,
    ( spl0_132
    | ~ spl0_155
    | ~ spl0_6
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1072,f727,f334,f1109,f934]) ).

fof(f1114,definition,
    ( spl0_156
  <=> c0_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1119,plain,
    ( ~ c0_1(a246)
    | c1_1(a246)
    | ~ spl0_7
    | spl0_146 ),
    inference(resolution,[],[f338,f1006]) ).

fof(f1120,plain,
    ( ~ c0_1(a232)
    | c1_1(a232)
    | ~ spl0_7
    | spl0_144 ),
    inference(resolution,[],[f338,f996]) ).

fof(f1126,plain,
    ( ~ c0_1(a238)
    | c1_1(a238)
    | ~ spl0_7
    | spl0_126 ),
    inference(resolution,[],[f338,f906]) ).

fof(f1157,plain,
    ( c0_1(a214)
    | c1_1(a214)
    | ~ spl0_10
    | spl0_108 ),
    inference(resolution,[],[f349,f816]) ).

fof(f1165,definition,
    ( spl0_157
  <=> c1_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1177,definition,
    ( spl0_159
  <=> c1_1(a229) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1184,definition,
    ( spl0_160
  <=> c1_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1190,definition,
    ( spl0_161
  <=> c1_1(a247) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1198,definition,
    ( spl0_162
  <=> c1_1(a232) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1225,plain,
    ( ~ c1_1(a224)
    | c2_1(a224)
    | ~ spl0_14
    | ~ spl0_116 ),
    inference(resolution,[],[f362,f856]) ).

fof(f1226,plain,
    ( ~ c1_1(a218)
    | c2_1(a218)
    | ~ spl0_14
    | ~ spl0_112 ),
    inference(resolution,[],[f362,f836]) ).

fof(f1230,definition,
    ( spl0_163
  <=> c2_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1232,plain,
    ( c2_1(a218)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1230]) ).

fof(f1235,definition,
    ( spl0_164
  <=> c2_1(a224) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1237,plain,
    ( c2_1(a224)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1235]) ).

fof(f1238,plain,
    ( spl0_164
    | ~ spl0_70
    | ~ spl0_14
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1225,f854,f361,f627,f1235]) ).

fof(f1245,plain,
    ( ~ c0_1(a282)
    | ~ c2_1(a282)
    | ~ spl0_15
    | spl0_101 ),
    inference(resolution,[],[f365,f782]) ).

fof(f1248,plain,
    ( ~ c0_1(a252)
    | ~ c2_1(a252)
    | ~ spl0_15
    | spl0_90 ),
    inference(resolution,[],[f365,f729]) ).

fof(f1255,plain,
    ( ~ c0_1(a225)
    | ~ c2_1(a225)
    | ~ spl0_15
    | spl0_71 ),
    inference(resolution,[],[f365,f634]) ).

fof(f1260,plain,
    ( ~ c0_1(a236)
    | ~ c2_1(a236)
    | ~ spl0_15
    | spl0_80 ),
    inference(resolution,[],[f365,f679]) ).

fof(f1262,plain,
    ( ~ spl0_72
    | ~ spl0_118
    | ~ spl0_15
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1255,f632,f364,f864,f637]) ).

fof(f1275,plain,
    ( ~ c0_1(a259)
    | c1_1(a259)
    | ~ spl0_6
    | spl0_92 ),
    inference(resolution,[],[f335,f739]) ).

fof(f1304,plain,
    ( c0_1(a252)
    | ~ c2_1(a252)
    | ~ spl0_17
    | spl0_90 ),
    inference(resolution,[],[f373,f729]) ).

fof(f1314,plain,
    ( c0_1(a278)
    | ~ c2_1(a278)
    | ~ spl0_17
    | spl0_97 ),
    inference(resolution,[],[f373,f763]) ).

fof(f1315,plain,
    ( c0_1(a236)
    | ~ c2_1(a236)
    | ~ spl0_17
    | spl0_80 ),
    inference(resolution,[],[f373,f679]) ).

fof(f1316,plain,
    ( c0_1(a235)
    | ~ c2_1(a235)
    | ~ spl0_17
    | spl0_77 ),
    inference(resolution,[],[f373,f664]) ).

fof(f1319,definition,
    ( spl0_165
  <=> c2_1(a235) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1321,plain,
    ( ~ c2_1(a235)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1319]) ).

fof(f1322,plain,
    ( ~ spl0_165
    | spl0_79
    | ~ spl0_17
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1316,f662,f372,f672,f1319]) ).

fof(f1328,definition,
    ( spl0_166
  <=> c2_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1329,plain,
    ( c2_1(a259)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1328]) ).

fof(f1338,definition,
    ( spl0_168
  <=> c2_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1340,plain,
    ( ~ c2_1(a282)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1338]) ).

fof(f1351,plain,
    ( ~ c0_1(a247)
    | ~ c1_1(a247)
    | ~ spl0_2
    | ~ spl0_89 ),
    inference(resolution,[],[f724,f321]) ).

fof(f1387,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(resolution,[],[f379,f335]) ).

fof(f1397,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(duplicate_literal_removal,[],[f1387]) ).

fof(f1407,plain,
    ( ~ c0_1(a230)
    | c2_1(a230)
    | ~ spl0_19
    | ~ spl0_122 ),
    inference(resolution,[],[f886,f379]) ).

fof(f1408,plain,
    ( ~ c0_1(a224)
    | ~ c1_1(a224)
    | ~ spl0_2
    | ~ spl0_164 ),
    inference(resolution,[],[f1237,f321]) ).

fof(f1416,plain,
    ( ~ c1_1(a218)
    | c0_1(a218)
    | ~ spl0_20
    | ~ spl0_112 ),
    inference(resolution,[],[f383,f836]) ).

fof(f1427,plain,
    ( spl0_109
    | spl0_60
    | ~ spl0_10
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1157,f814,f348,f577,f819]) ).

fof(f1430,plain,
    ( spl0_162
    | ~ spl0_145
    | ~ spl0_7
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1120,f994,f337,f999,f1198]) ).

fof(f1435,plain,
    ( spl0_160
    | ~ spl0_127
    | ~ spl0_7
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1126,f904,f337,f909,f1184]) ).

fof(f1453,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(resolution,[],[f328,f335]) ).

fof(f1459,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f1453]) ).

fof(f1465,plain,
    ( c0_1(a213)
    | c1_1(a213)
    | ~ spl0_9
    | ~ spl0_106 ),
    inference(resolution,[],[f345,f806]) ).

fof(f1485,plain,
    ( spl0_133
    | ~ spl0_134
    | ~ spl0_6
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1275,f737,f334,f944,f939]) ).

fof(f1487,plain,
    ( spl0_7
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1397,f378,f334,f337]) ).

fof(f1488,plain,
    ( spl0_7
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1459,f334,f327,f337]) ).

fof(f1514,plain,
    ( ~ c2_1(a213)
    | c0_1(a213)
    | ~ spl0_13
    | ~ spl0_106 ),
    inference(resolution,[],[f359,f806]) ).

fof(f1527,plain,
    ( ~ c1_1(a235)
    | c0_1(a235)
    | ~ spl0_21
    | spl0_165 ),
    inference(resolution,[],[f387,f1321]) ).

fof(f1553,plain,
    ( ~ c0_1(a213)
    | c1_1(a213)
    | ~ spl0_22
    | ~ spl0_59 ),
    inference(resolution,[],[f390,f574]) ).

fof(f1560,plain,
    ( spl0_107
    | ~ spl0_151
    | ~ spl0_22
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1553,f572,f389,f1088,f809]) ).

fof(f1565,plain,
    ( spl0_147
    | ~ spl0_148
    | ~ spl0_7
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1119,f1004,f337,f1014,f1009]) ).

fof(f1570,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(resolution,[],[f355,f383]) ).

fof(f1580,plain,
    ( c2_1(a238)
    | ~ c1_1(a238)
    | ~ spl0_12
    | spl0_84 ),
    inference(resolution,[],[f355,f699]) ).

fof(f1589,plain,
    ( c2_1(a235)
    | ~ c1_1(a235)
    | ~ spl0_12
    | spl0_77 ),
    inference(resolution,[],[f355,f664]) ).

fof(f1591,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(duplicate_literal_removal,[],[f1570]) ).

fof(f1601,plain,
    ( ~ spl0_91
    | spl0_155
    | ~ spl0_17
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1304,f727,f372,f1109,f732]) ).

fof(f1604,plain,
    ( ~ spl0_98
    | spl0_99
    | ~ spl0_17
    | spl0_97 ),
    inference(avatar_split_clause,[],[f1314,f761,f372,f771,f766]) ).

fof(f1605,plain,
    ( ~ spl0_81
    | spl0_149
    | ~ spl0_17
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1315,f677,f372,f1057,f682]) ).

fof(f1607,plain,
    ( ~ spl0_81
    | ~ spl0_149
    | ~ spl0_15
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1260,f677,f364,f1057,f682]) ).

fof(f1651,plain,
    ( ~ c1_1(a215)
    | c0_1(a215)
    | ~ spl0_21
    | spl0_110 ),
    inference(resolution,[],[f826,f387]) ).

fof(f1654,plain,
    ( spl0_62
    | ~ spl0_61
    | ~ spl0_21
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1651,f824,f386,f582,f587]) ).

fof(f1655,plain,
    ( c0_1(a216)
    | c1_1(a216)
    | ~ spl0_9
    | ~ spl0_111 ),
    inference(resolution,[],[f831,f345]) ).

fof(f1656,plain,
    ( ~ c1_1(a216)
    | c0_1(a216)
    | ~ spl0_20
    | ~ spl0_111 ),
    inference(resolution,[],[f831,f383]) ).

fof(f1669,plain,
    ( c0_1(a263)
    | c1_1(a263)
    | ~ spl0_9
    | ~ spl0_136 ),
    inference(resolution,[],[f956,f345]) ).

fof(f1699,plain,
    ( c0_1(a223)
    | c2_1(a223)
    | ~ spl0_1
    | ~ spl0_140 ),
    inference(resolution,[],[f318,f976]) ).

fof(f1704,plain,
    ( c0_1(a230)
    | c2_1(a230)
    | ~ spl0_1
    | ~ spl0_122 ),
    inference(resolution,[],[f318,f886]) ).

fof(f1715,plain,
    ( ~ c2_1(a247)
    | c1_1(a247)
    | ~ spl0_16
    | ~ spl0_130 ),
    inference(resolution,[],[f369,f926]) ).

fof(f1721,plain,
    ( ~ c2_1(a213)
    | c1_1(a213)
    | ~ spl0_16
    | ~ spl0_106 ),
    inference(resolution,[],[f369,f806]) ).

fof(f1764,plain,
    ( ~ c0_1(a221)
    | c1_1(a221)
    | ~ spl0_22
    | ~ spl0_69 ),
    inference(resolution,[],[f390,f624]) ).

fof(f1773,plain,
    ( ~ c0_1(a223)
    | c1_1(a223)
    | ~ spl0_24
    | ~ spl0_140 ),
    inference(resolution,[],[f398,f976]) ).

fof(f1776,plain,
    ( ~ c0_1(a247)
    | c1_1(a247)
    | ~ spl0_24
    | ~ spl0_130 ),
    inference(resolution,[],[f398,f926]) ).

fof(f1795,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(resolution,[],[f416,f365]) ).

fof(f1800,plain,
    ( ~ c1_1(a230)
    | ~ c0_1(a230)
    | ~ spl0_28
    | ~ spl0_122 ),
    inference(resolution,[],[f416,f886]) ).

fof(f1803,plain,
    ( ~ c1_1(a224)
    | ~ c0_1(a224)
    | ~ spl0_28
    | ~ spl0_116 ),
    inference(resolution,[],[f416,f856]) ).

fof(f1807,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f1795]) ).

fof(f1812,plain,
    ( ~ spl0_153
    | ~ spl0_76
    | ~ spl0_28
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1800,f884,f415,f657,f1099]) ).

fof(f1816,plain,
    ( spl0_2
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1807,f415,f364,f320]) ).

fof(f1824,plain,
    ( ~ c1_1(a230)
    | c2_1(a230)
    | ~ spl0_14
    | ~ spl0_122 ),
    inference(resolution,[],[f362,f886]) ).

fof(f1825,plain,
    ( ~ c1_1(a229)
    | c2_1(a229)
    | ~ spl0_14
    | ~ spl0_120 ),
    inference(resolution,[],[f362,f876]) ).

fof(f1832,plain,
    ( spl0_123
    | ~ spl0_76
    | ~ spl0_14
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1824,f884,f361,f657,f889]) ).

fof(f1871,plain,
    ( ~ c1_1(a232)
    | c2_1(a232)
    | ~ spl0_14
    | ~ spl0_143 ),
    inference(resolution,[],[f991,f362]) ).

fof(f1872,plain,
    ( ~ c0_1(a232)
    | c1_1(a232)
    | ~ spl0_24
    | ~ spl0_143 ),
    inference(resolution,[],[f991,f398]) ).

fof(f1879,plain,
    ( ~ c0_1(a259)
    | c1_1(a259)
    | ~ spl0_22
    | ~ spl0_166 ),
    inference(resolution,[],[f1329,f390]) ).

fof(f1883,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(resolution,[],[f376,f318]) ).

fof(f1898,plain,
    ( c2_1(a235)
    | c0_1(a235)
    | ~ spl0_18
    | spl0_77 ),
    inference(resolution,[],[f376,f664]) ).

fof(f1900,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f1883]) ).

fof(f1934,plain,
    ( ~ c2_1(a247)
    | ~ c0_1(a247)
    | ~ spl0_31
    | ~ spl0_130 ),
    inference(resolution,[],[f429,f926]) ).

fof(f1983,plain,
    ( ~ c1_1(a236)
    | ~ c2_1(a236)
    | ~ spl0_38
    | spl0_80 ),
    inference(resolution,[],[f461,f679]) ).

fof(f1988,plain,
    ( ~ spl0_81
    | ~ spl0_82
    | ~ spl0_38
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1983,f677,f460,f687,f682]) ).

fof(f1991,plain,
    ( ~ c1_1(a232)
    | ~ c0_1(a232)
    | ~ spl0_44
    | spl0_144 ),
    inference(resolution,[],[f491,f996]) ).

fof(f1993,plain,
    ( ~ c1_1(a282)
    | ~ c0_1(a282)
    | ~ spl0_44
    | spl0_168 ),
    inference(resolution,[],[f491,f1340]) ).

fof(f1997,plain,
    ( ~ c1_1(a237)
    | ~ c0_1(a237)
    | ~ spl0_44
    | spl0_124 ),
    inference(resolution,[],[f491,f896]) ).

fof(f2011,plain,
    ( ~ spl0_125
    | ~ spl0_83
    | ~ spl0_44
    | spl0_124 ),
    inference(avatar_split_clause,[],[f1997,f894,f490,f692,f899]) ).

fof(f2015,plain,
    ( ~ spl0_138
    | ~ spl0_102
    | ~ spl0_44
    | spl0_168 ),
    inference(avatar_split_clause,[],[f1993,f1338,f490,f785,f964]) ).

fof(f2024,plain,
    ( ~ spl0_160
    | spl0_126
    | ~ spl0_12
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1580,f697,f354,f904,f1184]) ).

fof(f2030,plain,
    ( ~ spl0_117
    | ~ spl0_70
    | ~ spl0_28
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1803,f854,f415,f627,f859]) ).

fof(f2032,plain,
    ( spl0_163
    | ~ spl0_65
    | ~ spl0_14
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1226,f834,f361,f602,f1230]) ).

fof(f2040,plain,
    ( ~ spl0_70
    | ~ spl0_117
    | ~ spl0_2
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1408,f1235,f320,f859,f627]) ).

fof(f2052,plain,
    ( spl0_144
    | ~ spl0_162
    | ~ spl0_14
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1871,f989,f361,f1198,f994]) ).

fof(f2053,plain,
    ( spl0_121
    | ~ spl0_159
    | ~ spl0_14
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1825,f874,f361,f1177,f879]) ).

fof(f2058,plain,
    ( spl0_114
    | ~ spl0_115
    | ~ spl0_22
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1764,f622,f389,f849,f844]) ).

fof(f2061,plain,
    ( spl0_107
    | spl0_151
    | ~ spl0_9
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1465,f804,f344,f1088,f809]) ).

fof(f2062,plain,
    ( spl0_107
    | ~ spl0_59
    | ~ spl0_16
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1721,f804,f368,f572,f809]) ).

fof(f2065,plain,
    ( ~ spl0_145
    | ~ spl0_162
    | ~ spl0_44
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1991,f994,f490,f1198,f999]) ).

fof(f2069,plain,
    ( spl0_133
    | ~ spl0_134
    | ~ spl0_22
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1879,f1328,f389,f944,f939]) ).

fof(f2092,plain,
    ( ~ c0_1(a213)
    | c1_1(a213)
    | ~ spl0_24
    | ~ spl0_106 ),
    inference(resolution,[],[f806,f398]) ).

fof(f2128,plain,
    ( c1_1(a229)
    | c2_1(a229)
    | ~ spl0_4
    | ~ spl0_120 ),
    inference(resolution,[],[f328,f876]) ).

fof(f2137,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(resolution,[],[f332,f328]) ).

fof(f2146,plain,
    ( c1_1(a252)
    | c0_1(a252)
    | ~ spl0_5
    | spl0_90 ),
    inference(resolution,[],[f332,f729]) ).

fof(f2155,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(duplicate_literal_removal,[],[f2137]) ).

fof(f2205,plain,
    ( ~ c0_1(a252)
    | c1_1(a252)
    | ~ spl0_22
    | ~ spl0_91 ),
    inference(resolution,[],[f390,f734]) ).

fof(f2206,plain,
    ( ~ c0_1(a247)
    | c1_1(a247)
    | ~ spl0_22
    | ~ spl0_89 ),
    inference(resolution,[],[f390,f724]) ).

fof(f2265,plain,
    ( c0_1(a235)
    | ~ c1_1(a235)
    | ~ spl0_46
    | spl0_77 ),
    inference(resolution,[],[f499,f664]) ).

fof(f2269,plain,
    ( ~ spl0_78
    | spl0_79
    | ~ spl0_46
    | spl0_77 ),
    inference(avatar_split_clause,[],[f2265,f662,f498,f672,f667]) ).

fof(f2279,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_24
    | ~ spl0_47 ),
    inference(resolution,[],[f503,f398]) ).

fof(f2296,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_24
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f2279]) ).

fof(f2307,plain,
    ( spl0_7
    | ~ spl0_24
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2296,f502,f397,f337]) ).

fof(f2323,plain,
    ( c1_1(a216)
    | c0_1(a216)
    | ~ spl0_48
    | ~ spl0_63 ),
    inference(resolution,[],[f508,f594]) ).

fof(f2335,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_24
    | ~ spl0_58 ),
    inference(resolution,[],[f563,f398]) ).

fof(f2342,plain,
    ( ~ c0_1(a259)
    | c2_1(a259)
    | ~ spl0_58
    | spl0_92 ),
    inference(resolution,[],[f563,f739]) ).

fof(f2346,plain,
    ( ~ c0_1(a238)
    | c2_1(a238)
    | ~ spl0_58
    | spl0_84 ),
    inference(resolution,[],[f563,f699]) ).

fof(f2354,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_24
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f2335]) ).

fof(f2358,plain,
    ( spl0_126
    | ~ spl0_127
    | ~ spl0_58
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2346,f697,f562,f909,f904]) ).

fof(f2359,plain,
    ( spl0_166
    | ~ spl0_134
    | ~ spl0_58
    | spl0_92 ),
    inference(avatar_split_clause,[],[f2342,f737,f562,f944,f1328]) ).

fof(f2363,plain,
    ( spl0_7
    | ~ spl0_24
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f2354,f562,f397,f337]) ).

fof(f2366,plain,
    ( spl0_151
    | ~ spl0_59
    | ~ spl0_13
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1514,f804,f358,f572,f1088]) ).

fof(f2367,plain,
    ( spl0_162
    | ~ spl0_145
    | ~ spl0_24
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1872,f989,f397,f999,f1198]) ).

fof(f2375,plain,
    ( ~ c0_1(a232)
    | c2_1(a232)
    | ~ spl0_19
    | ~ spl0_143 ),
    inference(resolution,[],[f991,f379]) ).

fof(f2377,plain,
    ( ~ c1_1(a232)
    | ~ c0_1(a232)
    | ~ spl0_28
    | ~ spl0_143 ),
    inference(resolution,[],[f991,f416]) ).

fof(f2379,plain,
    ( ~ spl0_145
    | ~ spl0_162
    | ~ spl0_28
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2377,f989,f415,f1198,f999]) ).

fof(f2381,plain,
    ( spl0_141
    | spl0_156
    | ~ spl0_1
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1699,f974,f317,f1114,f979]) ).

fof(f2382,plain,
    ( spl0_123
    | spl0_153
    | ~ spl0_1
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1704,f884,f317,f1099,f889]) ).

fof(f2393,plain,
    ( spl0_79
    | ~ spl0_78
    | ~ spl0_21
    | spl0_165 ),
    inference(avatar_split_clause,[],[f1527,f1319,f386,f667,f672]) ).

fof(f2403,plain,
    ( spl0_107
    | ~ spl0_151
    | ~ spl0_24
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2092,f804,f397,f1088,f809]) ).

fof(f2407,plain,
    ( spl0_64
    | spl0_157
    | ~ spl0_48
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f2323,f592,f507,f1165,f597]) ).

fof(f2452,plain,
    ( c0_1(a229)
    | ~ spl0_1
    | ~ spl0_18
    | spl0_121 ),
    inference(resolution,[],[f1900,f881]) ).

fof(f2456,plain,
    ( spl0_75
    | ~ spl0_1
    | ~ spl0_18
    | spl0_121 ),
    inference(avatar_split_clause,[],[f2452,f879,f375,f317,f652]) ).

fof(f2471,plain,
    ( c0_1(a218)
    | ~ c1_1(a218)
    | ~ spl0_8
    | ~ spl0_163 ),
    inference(resolution,[],[f342,f1232]) ).

fof(f2476,plain,
    ( c0_1(a243)
    | ~ c1_1(a243)
    | ~ spl0_8
    | ~ spl0_86 ),
    inference(resolution,[],[f342,f709]) ).

fof(f2477,plain,
    ( c0_1(a236)
    | ~ c1_1(a236)
    | ~ spl0_8
    | ~ spl0_81 ),
    inference(resolution,[],[f342,f684]) ).

fof(f2485,plain,
    ( ~ spl0_82
    | ~ spl0_149
    | ~ spl0_2
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1054,f682,f320,f1057,f687]) ).

fof(f2487,plain,
    ( ~ spl0_161
    | ~ spl0_131
    | ~ spl0_2
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1351,f722,f320,f929,f1190]) ).

fof(f2491,plain,
    ( spl0_157
    | spl0_64
    | ~ spl0_9
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1655,f829,f344,f597,f1165]) ).

fof(f2492,plain,
    ( spl0_137
    | spl0_95
    | ~ spl0_9
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1669,f954,f344,f752,f959]) ).

fof(f2497,plain,
    ( spl0_161
    | ~ spl0_89
    | ~ spl0_16
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1715,f924,f368,f722,f1190]) ).

fof(f2510,plain,
    ( spl0_132
    | ~ spl0_155
    | ~ spl0_22
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2205,f732,f389,f1109,f934]) ).

fof(f2511,plain,
    ( spl0_161
    | ~ spl0_131
    | ~ spl0_22
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2206,f722,f389,f929,f1190]) ).

fof(f2513,plain,
    ( spl0_142
    | ~ spl0_156
    | ~ spl0_24
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1773,f974,f397,f1114,f984]) ).

fof(f2515,plain,
    ( spl0_161
    | ~ spl0_131
    | ~ spl0_24
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1776,f924,f397,f929,f1190]) ).

fof(f2517,plain,
    ( ~ spl0_131
    | ~ spl0_89
    | ~ spl0_31
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1934,f924,f428,f722,f929]) ).

fof(f2532,plain,
    ( ~ spl0_65
    | spl0_66
    | ~ spl0_8
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2471,f1230,f341,f607,f602]) ).

fof(f2535,plain,
    ( ~ spl0_87
    | spl0_88
    | ~ spl0_8
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2476,f707,f341,f717,f712]) ).

fof(f2536,plain,
    ( ~ spl0_82
    | spl0_149
    | ~ spl0_8
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f2477,f682,f341,f1057,f687]) ).

fof(f2539,plain,
    ( ~ spl0_78
    | spl0_165
    | ~ spl0_12
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1589,f662,f354,f1319,f667]) ).

fof(f2541,plain,
    ( spl0_21
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1591,f382,f354,f386]) ).

fof(f2543,plain,
    ( ~ spl0_168
    | ~ spl0_138
    | ~ spl0_15
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1245,f780,f364,f964,f1338]) ).

fof(f2545,plain,
    ( ~ spl0_91
    | ~ spl0_155
    | ~ spl0_15
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1248,f727,f364,f1109,f732]) ).

fof(f2551,plain,
    ( spl0_79
    | spl0_165
    | ~ spl0_18
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1898,f662,f375,f1319,f672]) ).

fof(f2552,plain,
    ( spl0_123
    | ~ spl0_153
    | ~ spl0_19
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1407,f884,f378,f1099,f889]) ).

fof(f2556,plain,
    ( spl0_144
    | ~ spl0_145
    | ~ spl0_19
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2375,f989,f378,f999,f994]) ).

fof(f2561,plain,
    ( spl0_66
    | ~ spl0_65
    | ~ spl0_20
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1416,f834,f382,f602,f607]) ).

fof(f2562,plain,
    ( spl0_64
    | ~ spl0_157
    | ~ spl0_20
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1656,f829,f382,f1165,f597]) ).

fof(f2566,plain,
    ( spl0_121
    | spl0_159
    | ~ spl0_4
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2128,f874,f327,f1177,f879]) ).

fof(f2567,plain,
    ( spl0_155
    | spl0_132
    | ~ spl0_5
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2146,f727,f331,f934,f1109]) ).

fof(f2569,plain,
    ( spl0_10
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f2155,f331,f327,f348]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f329]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f339]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f346]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f366]) ).

cnf(s6,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_13
    | spl0_16 ),
    inference(sat_conversion,[],[f370]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f380]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_16
    | spl0_20 ),
    inference(sat_conversion,[],[f384]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f391]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_14
    | ~ spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s14,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_19
    | spl0_29 ),
    inference(sat_conversion,[],[f422]) ).

cnf(s15,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_14
    | spl0_32 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_15
    | spl0_33 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_16
    | spl0_34 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_22
    | spl0_35 ),
    inference(sat_conversion,[],[f450]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_19
    | ~ spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_38
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_28
    | spl0_33 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_24
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_24 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s30,plain,
    ( ~ spl0_3
    | spl0_17
    | ~ spl0_26
    | spl0_47 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s31,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_17
    | spl0_30 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_31
    | ~ spl0_39
    | spl0_46 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_17
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_32
    | spl0_41 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_6
    | ~ spl0_39
    | spl0_49 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_49
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f528]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_23
    | spl0_32 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s43,plain,
    ( ~ spl0_3
    | spl0_34
    | spl0_35
    | spl0_44 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s44,plain,
    ( ~ spl0_3
    | spl0_35
    | spl0_44
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s46,plain,
    ( ~ spl0_3
    | spl0_9
    | ~ spl0_53
    | spl0_56 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_33
    | spl0_58 ),
    inference(sat_conversion,[],[f564]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_15
    | ~ spl0_39
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_48
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f566]) ).

cnf(s52,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_41
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_17
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s54,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_46
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s55,plain,
    ( spl0_39
    | spl0_59 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s56,plain,
    ( spl0_45
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s57,plain,
    ( spl0_54
    | spl0_61 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s58,plain,
    ( spl0_54
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s59,plain,
    ( ~ spl0_25
    | spl0_63 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s60,plain,
    ( ~ spl0_25
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s61,plain,
    ( ~ spl0_41
    | spl0_65 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s62,plain,
    ( ~ spl0_41
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s65,plain,
    ( ~ spl0_30
    | spl0_69 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s66,plain,
    ( spl0_42
    | spl0_70 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s67,plain,
    ( spl0_50
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s68,plain,
    ( spl0_50
    | spl0_72 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s71,plain,
    ( spl0_57
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s72,plain,
    ( ~ spl0_29
    | spl0_76 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s73,plain,
    ( ~ spl0_49
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s74,plain,
    ( ~ spl0_49
    | spl0_78 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s75,plain,
    ( ~ spl0_49
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s76,plain,
    ( ~ spl0_32
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s77,plain,
    ( ~ spl0_32
    | spl0_81 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s78,plain,
    ( ~ spl0_32
    | spl0_82 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s79,plain,
    ( ~ spl0_56
    | spl0_83 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s80,plain,
    ( spl0_53
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s82,plain,
    ( spl0_37
    | spl0_86 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s83,plain,
    ( spl0_37
    | spl0_87 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s84,plain,
    ( spl0_37
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s85,plain,
    ( ~ spl0_34
    | spl0_89 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s86,plain,
    ( spl0_27
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s87,plain,
    ( spl0_27
    | spl0_91 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s88,plain,
    ( ~ spl0_23
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s91,plain,
    ( spl0_51
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s92,plain,
    ( ~ spl0_96
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s93,plain,
    ( ~ spl0_96
    | spl0_98 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s94,plain,
    ( ~ spl0_96
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s95,plain,
    ( ~ spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s96,plain,
    ( ~ spl0_100
    | spl0_102 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s99,plain,
    ( spl0_39
    | spl0_106 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s100,plain,
    ( spl0_39
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f812]) ).

cnf(s101,plain,
    ( spl0_45
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s102,plain,
    ( spl0_45
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f822]) ).

cnf(s103,plain,
    ( spl0_54
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s104,plain,
    ( ~ spl0_25
    | spl0_111 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s105,plain,
    ( ~ spl0_41
    | spl0_112 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s107,plain,
    ( ~ spl0_30
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s108,plain,
    ( ~ spl0_30
    | spl0_115 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s109,plain,
    ( spl0_42
    | spl0_116 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s110,plain,
    ( spl0_42
    | spl0_117 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s111,plain,
    ( spl0_50
    | spl0_118 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s113,plain,
    ( spl0_57
    | spl0_120 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s114,plain,
    ( spl0_57
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f882]) ).

cnf(s115,plain,
    ( ~ spl0_29
    | spl0_122 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s116,plain,
    ( ~ spl0_29
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f892]) ).

cnf(s117,plain,
    ( ~ spl0_56
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f897]) ).

cnf(s118,plain,
    ( ~ spl0_56
    | spl0_125 ),
    inference(sat_conversion,[],[f902]) ).

cnf(s119,plain,
    ( spl0_53
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s120,plain,
    ( spl0_53
    | spl0_127 ),
    inference(sat_conversion,[],[f912]) ).

cnf(s123,plain,
    ( ~ spl0_34
    | spl0_130 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s124,plain,
    ( ~ spl0_34
    | spl0_131 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s125,plain,
    ( spl0_27
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s126,plain,
    ( ~ spl0_23
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s127,plain,
    ( ~ spl0_23
    | spl0_134 ),
    inference(sat_conversion,[],[f947]) ).

cnf(s129,plain,
    ( spl0_51
    | spl0_136 ),
    inference(sat_conversion,[],[f957]) ).

cnf(s130,plain,
    ( spl0_51
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f962]) ).

cnf(s131,plain,
    ( ~ spl0_100
    | spl0_138 ),
    inference(sat_conversion,[],[f967]) ).

cnf(s133,plain,
    ( spl0_26
    | spl0_140 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s134,plain,
    ( spl0_26
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f982]) ).

cnf(s135,plain,
    ( spl0_26
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f987]) ).

cnf(s136,plain,
    ( ~ spl0_33
    | spl0_143 ),
    inference(sat_conversion,[],[f992]) ).

cnf(s137,plain,
    ( ~ spl0_33
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f997]) ).

cnf(s138,plain,
    ( ~ spl0_33
    | spl0_145 ),
    inference(sat_conversion,[],[f1002]) ).

cnf(s139,plain,
    ( ~ spl0_35
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s140,plain,
    ( ~ spl0_35
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s141,plain,
    ( ~ spl0_35
    | spl0_148 ),
    inference(sat_conversion,[],[f1017]) ).

cnf(s143,plain,
    ( spl0_25
    | ~ spl0_54
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s145,plain,
    ( ~ spl0_50
    | ~ spl0_57
    | spl0_100 ),
    inference(sat_conversion,[],[f1021]) ).

cnf(s146,plain,
    ( spl0_29
    | ~ spl0_42
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f1022]) ).

cnf(s147,plain,
    ( spl0_23
    | spl0_34
    | spl0_96 ),
    inference(sat_conversion,[],[f1023]) ).

cnf(s150,plain,
    ( spl0_3
    | spl0_54 ),
    inference(sat_conversion,[],[f1026]) ).

cnf(s151,plain,
    ( spl0_3
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f1027]) ).

cnf(s173,plain,
    ( spl0_3
    | spl0_103 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s184,plain,
    ( ~ spl0_6
    | spl0_90
    | spl0_132
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1112]) ).

cnf(s206,plain,
    ( ~ spl0_14
    | ~ spl0_70
    | ~ spl0_116
    | spl0_164 ),
    inference(sat_conversion,[],[f1238]) ).

cnf(s207,plain,
    ( ~ spl0_15
    | spl0_71
    | ~ spl0_72
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1262]) ).

cnf(s210,plain,
    ( ~ spl0_17
    | spl0_77
    | spl0_79
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1322]) ).

cnf(s245,plain,
    ( ~ spl0_10
    | spl0_60
    | spl0_108
    | spl0_109 ),
    inference(sat_conversion,[],[f1427]) ).

cnf(s248,plain,
    ( ~ spl0_7
    | spl0_144
    | ~ spl0_145
    | spl0_162 ),
    inference(sat_conversion,[],[f1430]) ).

cnf(s253,plain,
    ( ~ spl0_7
    | spl0_126
    | ~ spl0_127
    | spl0_160 ),
    inference(sat_conversion,[],[f1435]) ).

cnf(s266,plain,
    ( ~ spl0_6
    | spl0_92
    | spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1485]) ).

cnf(s268,plain,
    ( ~ spl0_6
    | spl0_7
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f1487]) ).

cnf(s269,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f1488]) ).

cnf(s278,plain,
    ( ~ spl0_22
    | ~ spl0_59
    | spl0_107
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1560]) ).

cnf(s283,plain,
    ( ~ spl0_7
    | spl0_146
    | spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1565]) ).

cnf(s293,plain,
    ( ~ spl0_17
    | spl0_90
    | ~ spl0_91
    | spl0_155 ),
    inference(sat_conversion,[],[f1601]) ).

cnf(s296,plain,
    ( ~ spl0_17
    | spl0_97
    | ~ spl0_98
    | spl0_99 ),
    inference(sat_conversion,[],[f1604]) ).

cnf(s297,plain,
    ( ~ spl0_17
    | spl0_80
    | ~ spl0_81
    | spl0_149 ),
    inference(sat_conversion,[],[f1605]) ).

cnf(s299,plain,
    ( ~ spl0_15
    | spl0_80
    | ~ spl0_81
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1607]) ).

cnf(s317,plain,
    ( ~ spl0_21
    | ~ spl0_61
    | spl0_62
    | spl0_110 ),
    inference(sat_conversion,[],[f1654]) ).

cnf(s341,plain,
    ( ~ spl0_28
    | ~ spl0_76
    | ~ spl0_122
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1812]) ).

cnf(s345,plain,
    ( spl0_2
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f1816]) ).

cnf(s347,plain,
    ( ~ spl0_14
    | ~ spl0_76
    | ~ spl0_122
    | spl0_123 ),
    inference(sat_conversion,[],[f1832]) ).

cnf(s375,plain,
    ( ~ spl0_38
    | spl0_80
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f1988]) ).

cnf(s383,plain,
    ( ~ spl0_44
    | ~ spl0_83
    | spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2011]) ).

cnf(s387,plain,
    ( ~ spl0_44
    | ~ spl0_102
    | ~ spl0_138
    | spl0_168 ),
    inference(sat_conversion,[],[f2015]) ).

cnf(s396,plain,
    ( ~ spl0_12
    | spl0_84
    | spl0_126
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2024]) ).

cnf(s402,plain,
    ( ~ spl0_28
    | ~ spl0_70
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f2030]) ).

cnf(s404,plain,
    ( ~ spl0_14
    | ~ spl0_65
    | ~ spl0_112
    | spl0_163 ),
    inference(sat_conversion,[],[f2032]) ).

cnf(s412,plain,
    ( ~ spl0_2
    | ~ spl0_70
    | ~ spl0_117
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2040]) ).

cnf(s424,plain,
    ( ~ spl0_14
    | ~ spl0_143
    | spl0_144
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2052]) ).

cnf(s425,plain,
    ( ~ spl0_14
    | ~ spl0_120
    | spl0_121
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2053]) ).

cnf(s430,plain,
    ( ~ spl0_22
    | ~ spl0_69
    | spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f2058]) ).

cnf(s433,plain,
    ( ~ spl0_9
    | ~ spl0_106
    | spl0_107
    | spl0_151 ),
    inference(sat_conversion,[],[f2061]) ).

cnf(s434,plain,
    ( ~ spl0_16
    | ~ spl0_59
    | ~ spl0_106
    | spl0_107 ),
    inference(sat_conversion,[],[f2062]) ).

cnf(s437,plain,
    ( ~ spl0_44
    | spl0_144
    | ~ spl0_145
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2065]) ).

cnf(s441,plain,
    ( ~ spl0_22
    | spl0_133
    | ~ spl0_134
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2069]) ).

cnf(s458,plain,
    ( ~ spl0_46
    | spl0_77
    | ~ spl0_78
    | spl0_79 ),
    inference(sat_conversion,[],[f2269]) ).

cnf(s468,plain,
    ( spl0_7
    | ~ spl0_24
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2307]) ).

cnf(s470,plain,
    ( ~ spl0_58
    | spl0_84
    | spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2358]) ).

cnf(s471,plain,
    ( ~ spl0_58
    | spl0_92
    | ~ spl0_134
    | spl0_166 ),
    inference(sat_conversion,[],[f2359]) ).

cnf(s475,plain,
    ( spl0_7
    | ~ spl0_24
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f2363]) ).

cnf(s478,plain,
    ( ~ spl0_13
    | ~ spl0_59
    | ~ spl0_106
    | spl0_151 ),
    inference(sat_conversion,[],[f2366]) ).

cnf(s479,plain,
    ( ~ spl0_24
    | ~ spl0_143
    | ~ spl0_145
    | spl0_162 ),
    inference(sat_conversion,[],[f2367]) ).

cnf(s481,plain,
    ( ~ spl0_28
    | ~ spl0_143
    | ~ spl0_145
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2379]) ).

cnf(s483,plain,
    ( ~ spl0_1
    | ~ spl0_140
    | spl0_141
    | spl0_156 ),
    inference(sat_conversion,[],[f2381]) ).

cnf(s484,plain,
    ( ~ spl0_1
    | ~ spl0_122
    | spl0_123
    | spl0_153 ),
    inference(sat_conversion,[],[f2382]) ).

cnf(s495,plain,
    ( ~ spl0_21
    | ~ spl0_78
    | spl0_79
    | spl0_165 ),
    inference(sat_conversion,[],[f2393]) ).

cnf(s505,plain,
    ( ~ spl0_24
    | ~ spl0_106
    | spl0_107
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f2403]) ).

cnf(s509,plain,
    ( ~ spl0_48
    | ~ spl0_63
    | spl0_64
    | spl0_157 ),
    inference(sat_conversion,[],[f2407]) ).

cnf(s520,plain,
    ( ~ spl0_1
    | ~ spl0_18
    | spl0_75
    | spl0_121 ),
    inference(sat_conversion,[],[f2456]) ).

cnf(s527,plain,
    ( ~ spl0_2
    | ~ spl0_81
    | ~ spl0_82
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f2485]) ).

cnf(s529,plain,
    ( ~ spl0_2
    | ~ spl0_89
    | ~ spl0_131
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2487]) ).

cnf(s533,plain,
    ( ~ spl0_9
    | spl0_64
    | ~ spl0_111
    | spl0_157 ),
    inference(sat_conversion,[],[f2491]) ).

cnf(s534,plain,
    ( ~ spl0_9
    | spl0_95
    | ~ spl0_136
    | spl0_137 ),
    inference(sat_conversion,[],[f2492]) ).

cnf(s540,plain,
    ( ~ spl0_16
    | ~ spl0_89
    | ~ spl0_130
    | spl0_161 ),
    inference(sat_conversion,[],[f2497]) ).

cnf(s553,plain,
    ( ~ spl0_22
    | ~ spl0_91
    | spl0_132
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2510]) ).

cnf(s554,plain,
    ( ~ spl0_22
    | ~ spl0_89
    | ~ spl0_131
    | spl0_161 ),
    inference(sat_conversion,[],[f2511]) ).

cnf(s556,plain,
    ( ~ spl0_24
    | ~ spl0_140
    | spl0_142
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2513]) ).

cnf(s558,plain,
    ( ~ spl0_24
    | ~ spl0_130
    | ~ spl0_131
    | spl0_161 ),
    inference(sat_conversion,[],[f2515]) ).

cnf(s560,plain,
    ( ~ spl0_31
    | ~ spl0_89
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f2517]) ).

cnf(s575,plain,
    ( ~ spl0_8
    | ~ spl0_65
    | spl0_66
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2532]) ).

cnf(s578,plain,
    ( ~ spl0_8
    | ~ spl0_86
    | ~ spl0_87
    | spl0_88 ),
    inference(sat_conversion,[],[f2535]) ).

cnf(s579,plain,
    ( ~ spl0_8
    | ~ spl0_81
    | ~ spl0_82
    | spl0_149 ),
    inference(sat_conversion,[],[f2536]) ).

cnf(s582,plain,
    ( ~ spl0_12
    | spl0_77
    | ~ spl0_78
    | spl0_165 ),
    inference(sat_conversion,[],[f2539]) ).

cnf(s584,plain,
    ( ~ spl0_12
    | ~ spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f2541]) ).

cnf(s586,plain,
    ( ~ spl0_15
    | spl0_101
    | ~ spl0_138
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2543]) ).

cnf(s588,plain,
    ( ~ spl0_15
    | spl0_90
    | ~ spl0_91
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2545]) ).

cnf(s594,plain,
    ( ~ spl0_18
    | spl0_77
    | spl0_79
    | spl0_165 ),
    inference(sat_conversion,[],[f2551]) ).

cnf(s595,plain,
    ( ~ spl0_19
    | ~ spl0_122
    | spl0_123
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2552]) ).

cnf(s599,plain,
    ( ~ spl0_19
    | ~ spl0_143
    | spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f2556]) ).

cnf(s604,plain,
    ( ~ spl0_20
    | ~ spl0_65
    | spl0_66
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f2561]) ).

cnf(s605,plain,
    ( ~ spl0_20
    | spl0_64
    | ~ spl0_111
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2562]) ).

cnf(s609,plain,
    ( ~ spl0_4
    | ~ spl0_120
    | spl0_121
    | spl0_159 ),
    inference(sat_conversion,[],[f2566]) ).

cnf(s610,plain,
    ( ~ spl0_5
    | spl0_90
    | spl0_132
    | spl0_155 ),
    inference(sat_conversion,[],[f2567]) ).

cnf(s612,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_10 ),
    inference(sat_conversion,[],[f2569]) ).

cnf(s613,plain,
    spl0_3,
    inference(rat,[],[s143,s150,s151,s173]) ).

cnf(s614,plain,
    ( spl0_18
    | spl0_17
    | spl0_28 ),
    inference(rat,[],[s599,s136,s137,s138,s7,s24,s613]) ).

cnf(s615,plain,
    ( ~ spl0_33
    | ~ spl0_44
    | ~ spl0_7 ),
    inference(rat,[],[s248,s437,s137,s138]) ).

cnf(s617,plain,
    ( spl0_50
    | ~ spl0_15 ),
    inference(rat,[],[s207,s67,s68,s111]) ).

cnf(s618,plain,
    ( spl0_39
    | ~ spl0_16 ),
    inference(rat,[],[s434,s55,s99,s100]) ).

cnf(s619,plain,
    ( spl0_17
    | ~ spl0_39 ),
    inference(rat,[],[s617,s53,s34,s613]) ).

cnf(s620,plain,
    ( ~ spl0_39
    | ~ spl0_12
    | spl0_6 ),
    inference(rat,[],[s619,s210,s582,s73,s74,s75,s37,s613]) ).

cnf(s621,plain,
    ( spl0_39
    | ~ spl0_24
    | spl0_2 ),
    inference(rat,[],[s6,s478,s505,s618,s55,s99,s100,s613]) ).

cnf(s622,plain,
    ( ~ spl0_33
    | ~ spl0_39
    | spl0_9
    | ~ spl0_7 ),
    inference(rat,[],[s375,s76,s77,s78,s16,s22,s424,s599,s248,s136,s137,s138,s613]) ).

cnf(s623,plain,
    ( ~ spl0_39
    | spl0_9
    | ~ spl0_7
    | spl0_6
    | spl0_2 ),
    inference(rat,[],[s470,s80,s119,s120,s49,s345,s24,s48,s622,s594,s210,s73,s75,s619,s37,s613]) ).

cnf(s624,plain,
    ( ~ spl0_41
    | ~ spl0_20 ),
    inference(rat,[],[s604,s61,s62,s105]) ).

cnf(s625,plain,
    ( ~ spl0_56
    | ~ spl0_44 ),
    inference(rat,[],[s383,s79,s117,s118]) ).

cnf(s626,plain,
    ( spl0_53
    | ~ spl0_12
    | ~ spl0_7 ),
    inference(rat,[],[s396,s253,s80,s119,s120]) ).

cnf(s627,plain,
    ( ~ spl0_35
    | ~ spl0_7 ),
    inference(rat,[],[s283,s139,s140,s141]) ).

cnf(s628,plain,
    ( spl0_9
    | ~ spl0_7
    | spl0_6
    | spl0_2 ),
    inference(rat,[],[s625,s44,s46,s626,s19,s278,s478,s6,s618,s55,s99,s100,s623,s627,s613]) ).

cnf(s629,plain,
    ( spl0_24
    | ~ spl0_9
    | spl0_6 ),
    inference(rat,[],[s533,s605,s60,s104,s11,s27,s613]) ).

cnf(s630,plain,
    ( spl0_33
    | spl0_18
    | ~ spl0_39
    | spl0_2 ),
    inference(rat,[],[s470,s80,s119,s120,s49,s345,s24,s48,s613]) ).

cnf(s631,plain,
    ( spl0_6
    | spl0_5
    | spl0_2 ),
    inference(rat,[],[s560,s85,s123,s124,s43,s615,s630,s594,s33,s210,s458,s73,s74,s75,s619,s37,s621,s629,s628,s627,s2,s613]) ).

cnf(s633,plain,
    ( spl0_51
    | ~ spl0_9 ),
    inference(rat,[],[s534,s91,s129,s130]) ).

cnf(s634,plain,
    ( ~ spl0_25
    | ~ spl0_9
    | ~ spl0_20 ),
    inference(rat,[],[s533,s605,s60,s104]) ).

cnf(s635,plain,
    ( spl0_39
    | ~ spl0_7
    | spl0_2 ),
    inference(rat,[],[s317,s57,s58,s103,s54,s634,s458,s73,s74,s75,s39,s633,s46,s625,s44,s584,s626,s19,s278,s478,s27,s6,s621,s618,s55,s99,s100,s627,s613]) ).

cnf(s636,plain,
    ( spl0_53
    | ~ spl0_58 ),
    inference(rat,[],[s470,s80,s119,s120]) ).

cnf(s639,plain,
    ( spl0_27
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(rat,[],[s293,s588,s86,s87]) ).

cnf(s641,plain,
    ( ~ spl0_81
    | spl0_80
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(rat,[],[s297,s299]) ).

cnf(s650,plain,
    ( spl0_45
    | ~ spl0_10 ),
    inference(rat,[],[s245,s56,s101,s102]) ).

cnf(s656,plain,
    ( ~ spl0_96
    | ~ spl0_17 ),
    inference(rat,[],[s296,s92,s93,s94]) ).

cnf(s657,plain,
    ( ~ spl0_23
    | ~ spl0_6 ),
    inference(rat,[],[s266,s88,s126,s127]) ).

cnf(s661,plain,
    ( ~ spl0_49
    | ~ spl0_18
    | ~ spl0_17 ),
    inference(rat,[],[s210,s594,s73,s75]) ).

cnf(s669,plain,
    ( ~ spl0_29
    | ~ spl0_14 ),
    inference(rat,[],[s347,s72,s115,s116]) ).

cnf(s670,plain,
    ( spl0_57
    | ~ spl0_14
    | ~ spl0_4 ),
    inference(rat,[],[s425,s609,s113,s114]) ).

cnf(s671,plain,
    ( ~ spl0_44
    | ~ spl0_7
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s586,s387,s95,s96,s131,s145,s670,s13,s639,s617,s345,s49,s636,s48,s615,s619,s635,s613]) ).

cnf(s672,plain,
    ( ~ spl0_6
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s44,s626,s671,s19,s430,s65,s107,s108,s15,s560,s85,s123,s124,s147,s657,s656,s619,s635,s627,s269,s1,s613]) ).

cnf(s673,plain,
    ( ~ spl0_39
    | ~ spl0_17
    | ~ spl0_45
    | spl0_6
    | spl0_2 ),
    inference(rat,[],[s610,s553,s86,s87,s125,s13,s481,s479,s669,s27,s14,s624,s599,s52,s9,s136,s137,s138,s495,s630,s210,s661,s73,s74,s75,s620,s37,s631,s613]) ).

cnf(s674,plain,
    ( ~ spl0_14
    | spl0_48
    | ~ spl0_4 ),
    inference(rat,[],[s50,s670,s669,s613]) ).

cnf(s675,plain,
    ( ~ spl0_17
    | spl0_6
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s578,s82,s83,s84,s21,s599,s136,s137,s138,s17,s674,s375,s641,s509,s76,s77,s78,s605,s36,s3,s59,s60,s104,s624,s629,s11,s27,s635,s621,s673,s650,s612,s631,s613]) ).

cnf(s676,plain,
    ( spl0_6
    | spl0_2
    | ~ spl0_4 ),
    inference(rat,[],[s578,s82,s83,s84,s21,s599,s136,s137,s138,s17,s299,s674,s375,s579,s509,s76,s77,s78,s605,s36,s3,s59,s60,s104,s624,s629,s11,s27,s635,s621,s619,s675,s613]) ).

cnf(s677,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s676,s672,s1,s613]) ).

cnf(s678,plain,
    ( ~ spl0_32
    | ~ spl0_17
    | ~ spl0_2 ),
    inference(rat,[],[s297,s527,s76,s77,s78]) ).

cnf(s679,plain,
    ( spl0_23
    | ~ spl0_17
    | ~ spl0_2 ),
    inference(rat,[],[s529,s540,s85,s123,s124,s40,s147,s656,s678,s613]) ).

cnf(s680,plain,
    ( ~ spl0_22
    | ~ spl0_24
    | spl0_92
    | spl0_133
    | ~ spl0_134
    | ~ spl0_17 ),
    inference(rat,[],[s293,s553,s86,s87,s125,s13,s481,s424,s479,s136,s137,s138,s48,s471,s441,s613]) ).

cnf(s681,plain,
    ( ~ spl0_39
    | spl0_22
    | spl0_6
    | ~ spl0_17 ),
    inference(rat,[],[s495,s210,s9,s73,s74,s75,s620,s37,s613]) ).

cnf(s682,plain,
    ( ~ spl0_17
    | ~ spl0_2 ),
    inference(rat,[],[s625,s44,s46,s626,s627,s3,s575,s404,s16,s433,s8,s505,s618,s99,s100,s681,s680,s27,s624,s61,s62,s105,s36,s657,s88,s126,s127,s679,s678,s613]) ).

cnf(s683,plain,
    ( spl0_42
    | ~ spl0_14
    | ~ spl0_2 ),
    inference(rat,[],[s412,s206,s66,s109,s110]) ).

cnf(s685,plain,
    ( ~ spl0_7
    | spl0_1 ),
    inference(rat,[],[s317,s57,s58,s103,s54,s634,s584,s458,s27,s73,s74,s75,s505,s39,s433,s633,s46,s625,s44,s626,s19,s627,s100,s99,s618,s619,s430,s65,s107,s108,s31,s682,s677,s613]) ).

cnf(s686,plain,
    ( spl0_23
    | spl0_1 ),
    inference(rat,[],[s433,s505,s3,s10,s579,s527,s77,s78,s40,s100,s99,s618,s619,s682,s677,s685,s613]) ).

cnf(s687,plain,
    ( ~ spl0_14
    | spl0_1 ),
    inference(rat,[],[s424,s479,s136,s137,s138,s48,s475,s26,s683,s682,s677,s685,s613]) ).

cnf(s688,plain,
    ( spl0_151
    | spl0_1 ),
    inference(rat,[],[s579,s299,s76,s77,s78,s5,s3,s16,s478,s433,s100,s99,s55,s619,s682,s677,s685,s687,s613]) ).

cnf(s689,plain,
    spl0_1,
    inference(rat,[],[s527,s579,s77,s78,s3,s16,s629,s505,s688,s687,s657,s686,s685,s99,s100,s619,s682,s677,s613]) ).

cnf(s690,plain,
    ( spl0_57
    | ~ spl0_18 ),
    inference(rat,[],[s520,s71,s114,s689]) ).

cnf(s691,plain,
    ( ~ spl0_53
    | ~ spl0_7
    | spl0_2 ),
    inference(rat,[],[s586,s387,s95,s96,s131,s145,s690,s630,s615,s617,s44,s49,s627,s635,s613]) ).

cnf(s692,plain,
    ( ~ spl0_7
    | ~ spl0_17
    | spl0_2 ),
    inference(rat,[],[s293,s553,s86,s87,s125,s13,s481,s424,s248,s136,s137,s138,s19,s48,s626,s636,s691,s627,s613]) ).

cnf(s693,plain,
    ( ~ spl0_33
    | ~ spl0_19 ),
    inference(rat,[],[s599,s136,s137,s138]) ).

cnf(s694,plain,
    ( spl0_29
    | spl0_7
    | spl0_2 ),
    inference(rat,[],[s690,s50,s24,s509,s402,s605,s66,s109,s110,s59,s60,s104,s146,s11,s27,s636,s475,s48,s693,s268,s14,s613]) ).

cnf(s695,plain,
    ( ~ spl0_17
    | spl0_2 ),
    inference(rat,[],[s578,s82,s83,s84,s21,s375,s76,s77,s78,s3,s16,s629,s621,s681,s553,s184,s293,s86,s87,s125,s13,s341,s595,s484,s669,s72,s115,s116,s694,s692,s689,s613]) ).

cnf(s696,plain,
    ( spl0_39
    | spl0_2 ),
    inference(rat,[],[s578,s82,s83,s84,s21,s375,s595,s3,s76,s77,s78,s484,s629,s36,s115,s116,s657,s624,s694,s10,s27,s635,s621,s689,s613]) ).

cnf(s697,plain,
    spl0_2,
    inference(rat,[],[s696,s619,s695]) ).

cnf(s698,plain,
    ~ spl0_17,
    inference(rat,[],[s682,s697]) ).

cnf(s699,plain,
    ~ spl0_39,
    inference(rat,[],[s619,s698]) ).

cnf(s700,plain,
    ~ spl0_107,
    inference(rat,[],[s100,s699]) ).

cnf(s701,plain,
    spl0_106,
    inference(rat,[],[s99,s699]) ).

cnf(s703,plain,
    ~ spl0_16,
    inference(rat,[],[s618,s699]) ).

cnf(s704,plain,
    ( ~ spl0_14
    | ~ spl0_7 ),
    inference(rat,[],[s424,s248,s136,s137,s138,s48,s636,s146,s683,s669,s613,s697]) ).

cnf(s705,plain,
    ( ~ spl0_53
    | spl0_9
    | spl0_35 ),
    inference(rat,[],[s625,s44,s46,s613]) ).

cnf(s706,plain,
    ( ~ spl0_24
    | ~ spl0_7 ),
    inference(rat,[],[s529,s558,s85,s123,s124,s18,s626,s705,s433,s505,s627,s697,s613,s703,s701,s700]) ).

cnf(s707,plain,
    ( ~ spl0_44
    | ~ spl0_7 ),
    inference(rat,[],[s586,s387,s95,s96,s131,s145,s617,s17,s615,s704,s690,s614,s402,s66,s109,s110,s26,s706,s613,s698]) ).

cnf(s708,plain,
    ~ spl0_7,
    inference(rat,[],[s554,s529,s19,s85,s124,s626,s43,s44,s707,s627,s697,s613]) ).

cnf(s710,plain,
    ~ spl0_24,
    inference(rat,[],[s483,s556,s133,s134,s135,s30,s468,s689,s698,s613,s708]) ).

cnf(s711,plain,
    spl0_20,
    inference(rat,[],[s27,s613,s710]) ).

cnf(s713,plain,
    spl0_23,
    inference(rat,[],[s10,s613,s708,s710]) ).

cnf(s714,plain,
    ~ spl0_41,
    inference(rat,[],[s624,s711]) ).

cnf(s721,plain,
    ~ spl0_6,
    inference(rat,[],[s657,s713]) ).

cnf(s722,plain,
    spl0_32,
    inference(rat,[],[s36,s721,s613,s714]) ).

cnf(s727,plain,
    ~ spl0_9,
    inference(rat,[],[s629,s710,s721]) ).

cnf(s728,plain,
    spl0_82,
    inference(rat,[],[s78,s722]) ).

cnf(s729,plain,
    spl0_81,
    inference(rat,[],[s77,s722]) ).

cnf(s737,plain,
    spl0_8,
    inference(rat,[],[s3,s708,s613,s727]) ).

cnf(s738,plain,
    ~ spl0_149,
    inference(rat,[],[s527,s728,s697,s729]) ).

cnf(s745,plain,
    $false,
    inference(rat,[],[s579,s729,s728,s737,s738]) ).

fof(f2570,plain,
    $false,
    inference(avatar_sat_refutation,[],[s745]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SYN444-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21  % Computer : n009.cluster.edu
% 0.10/0.21  % Model    : x86_64 x86_64
% 0.10/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21  % Memory   : 8046.5625MB
% 0.10/0.21  % OS       : Linux 6.8.0-71-generic
% 0.10/0.21  % CPULimit : 300
% 0.10/0.21  % WCLimit  : 300
% 0.10/0.21  % DateTime : Mon Sep 28 16:01:16 UTC 2026
% 0.10/0.22  % CPUTime  : 
% 0.10/0.22  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24  Running first-order model finding
% 0.10/0.24  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.33  % (3185276)Will run a generic schedule for satisfiability detection.
% 0.21/0.33  % (3185281)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4232979598_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.33  % Detected minimum model sizes of [1]
% 0.21/0.33  % Detected maximum model sizes of [29]
% 0.21/0.33  % TRYING [1]
% 0.21/0.33  % TRYING [2]
% 0.21/0.33  % (3185282)% WARNING: option uhcvi not known.
% 0.21/0.33  % TRYING [3]
% 0.21/0.33  % (3185286)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3029943702:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.33  % (3185285)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1207044833:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.33  % (3185282)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=526009504:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.33  % (3185283)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=203304274:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.33  % (3185284)dis+10_1_sil=32000:sp=arity:random_seed=3540982948:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.33  % TRYING [4]
% 0.21/0.33  % (3185287)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=138125368:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.33  % TRYING [5]
% 0.21/0.33  % (3185287) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3185276-3185287"...
% 0.21/0.33  % (3185287)...printing done.
% 0.21/0.33  % (3185287)Refutation found. Thanks to Tanya!
% 0.21/0.33  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.33  % (3185287)------------------------------
% 0.21/0.33  % (3185287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.33  % (3185287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33  % (3185287)CaDiCaL version: 2.1.3
% 0.21/0.33  % (3185287)Termination reason: Refutation
% 0.21/0.33  % (3185287)Time elapsed: 0.036 s
% 0.21/0.33  % (3185287)Peak memory usage: 13 MB
% 0.21/0.33  % (3185287)Instructions burned: 56 (million)
% 0.21/0.33  % (3185276)Success in time 0.073 s
% 0.21/0.33  % Vampire exiting
%------------------------------------------------------------------------------