%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN477-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:55:21 PM UTC 2026
% Result : Unsatisfiable 0.67s 0.99s
% Output : Refutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 186
% Syntax : Number of formulae : 718 ( 31 unt; 100 def)
% Number of atoms : 2341 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2970 (1347 ~;1523 |; 0 &)
% ( 100 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 124 ( 123 usr; 120 prp; 0-1 aty)
% Number of functors : 18 ( 18 usr; 18 con; 0-0 aty)
% Number of variables : 136 ( 0 sgn 136 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f4,negated_conjecture,
( ~ hskp26
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f6,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f31,negated_conjecture,
( hskp26
| hskp28
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f32,negated_conjecture,
( hskp26
| hskp25
| hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
( hskp15
| hskp6
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f36,negated_conjecture,
( hskp24
| hskp19
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f40,negated_conjecture,
( hskp27
| hskp19
| hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f44,negated_conjecture,
( ~ hskp28
| c0_1(a1214) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( ~ hskp28
| c1_1(a1214) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( ~ hskp28
| c3_1(a1214) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( ~ hskp27
| c1_1(a1213) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( ~ hskp27
| c2_1(a1213) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( ~ hskp27
| c3_1(a1213) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( ~ hskp26
| c0_1(a1208) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( ~ hskp26
| c1_1(a1208) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( ~ hskp26
| c2_1(a1208) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( ~ hskp25
| c0_1(a1204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( ~ hskp25
| c2_1(a1204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( ~ hskp25
| c3_1(a1204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f56,negated_conjecture,
( ~ hskp24
| c0_1(a1267) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f59,negated_conjecture,
( ~ hskp20
| c2_1(a1250) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( ~ hskp20
| c3_1(a1250) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( ~ hskp19
| c1_1(a1247) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f67,negated_conjecture,
( ~ hskp15
| c0_1(a1233) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( ~ hskp15
| c1_1(a1233) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( ~ hskp14
| c3_1(a1232) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f74,negated_conjecture,
( ~ hskp11
| c1_1(a1224) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( ~ hskp11
| c3_1(a1224) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f79,negated_conjecture,
( ~ hskp6
| c1_1(a1215) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp6
| c2_1(a1215) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( ~ hskp5
| c2_1(a1212) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( ~ hskp4
| c1_1(a1211) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( ~ hskp3
| c0_1(a1210) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( ~ hskp3
| c1_1(a1210) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( ~ hskp1
| c0_1(a1206) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( ~ hskp1
| c2_1(a1206) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f88,negated_conjecture,
( ~ c1_1(a1267)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f89,negated_conjecture,
( ~ c2_1(a1267)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f97,negated_conjecture,
( ~ c0_1(a1250)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ c2_1(a1247)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ c3_1(a1247)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f104,negated_conjecture,
( ~ c2_1(a1233)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ c0_1(a1232)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ c2_1(a1232)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f109,negated_conjecture,
( ~ c2_1(a1224)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ c1_1(a1223)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ c3_1(a1223)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f116,negated_conjecture,
( ~ c1_1(a1216)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ c2_1(a1216)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ c3_1(a1216)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ c3_1(a1215)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ c0_1(a1212)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ c3_1(a1212)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f123,negated_conjecture,
( ~ c2_1(a1211)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ c3_1(a1210)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ c0_1(a1207)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ c1_1(a1207)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ c2_1(a1207)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ c3_1(a1206)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f131,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| c3_1(X0)
| hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f135,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
fof(f138,negated_conjecture,
! [X0] :
( ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| hskp15
| hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f143,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp19
| hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f148,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp2
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f152,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
fof(f157,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f158,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c0_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f159,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f161,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f165,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f167,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X0)
| c0_1(X1)
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f177,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c0_1(X0)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f178,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f181,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X2)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f183,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X2)
| c3_1(X0)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f184,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X2)
| c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
fof(f185,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f186,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X2)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
fof(f187,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).
fof(f188,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X2)
| c0_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).
fof(f190,definition,
( spl0_1
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f191,plain,
( ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f193,definition,
( spl0_2
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f194,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f196,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f199,definition,
( spl0_4
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f200,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f201,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f188,f199,f196,f193,f190]) ).
fof(f203,definition,
( spl0_5
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f204,plain,
( ! [X2] :
( c2_1(X2)
| ~ c3_1(X2)
| c0_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,definition,
( spl0_6
<=> ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f207,plain,
( ! [X1] :
( c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f209,definition,
( spl0_7
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f210,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f211,plain,
( spl0_5
| spl0_6
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f187,f209,f196,f206,f203]) ).
fof(f213,definition,
( spl0_8
<=> ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f214,plain,
( ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,definition,
( spl0_9
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f217,plain,
( ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| ~ c0_1(X1) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f218,plain,
( spl0_8
| spl0_9
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f186,f193,f196,f216,f213]) ).
fof(f220,definition,
( spl0_10
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f221,plain,
( ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c0_1(X2) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f223,definition,
( spl0_11
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f224,plain,
( ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f225,plain,
( spl0_10
| spl0_11
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f185,f193,f196,f223,f220]) ).
fof(f227,definition,
( spl0_12
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f228,plain,
( ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c0_1(X1) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f230,definition,
( spl0_13
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f231,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f232,plain,
( spl0_8
| spl0_12
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f184,f230,f196,f227,f213]) ).
fof(f234,definition,
( spl0_14
<=> ! [X2] :
( ~ c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f235,plain,
( ! [X2] :
( c2_1(X2)
| ~ c0_1(X2)
| c1_1(X2) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,definition,
( spl0_15
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f238,plain,
( ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f240,definition,
( spl0_16
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f241,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f242,plain,
( spl0_14
| spl0_15
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f183,f240,f196,f237,f234]) ).
fof(f244,definition,
( spl0_17
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f245,plain,
( ! [X2] :
( c2_1(X2)
| c0_1(X2)
| c1_1(X2) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f247,definition,
( spl0_18
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f248,plain,
( ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f254,definition,
( spl0_20
<=> ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f255,plain,
( ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| c0_1(X2) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f257,definition,
( spl0_21
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f258,plain,
( ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c1_1(X1) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f259,plain,
( spl0_20
| spl0_21
| ~ spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f181,f227,f196,f257,f254]) ).
fof(f264,definition,
( spl0_23
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f265,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_24
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f270,plain,
( spl0_24
| spl0_13
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f179,f199,f196,f230,f268]) ).
fof(f271,plain,
( spl0_17
| spl0_1
| ~ spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f178,f234,f196,f190,f244]) ).
fof(f272,plain,
( spl0_17
| spl0_5
| ~ spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f177,f254,f196,f203,f244]) ).
fof(f274,definition,
( spl0_25
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f276,plain,
( spl0_25
| spl0_23
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f176,f199,f196,f264,f274]) ).
fof(f278,definition,
( spl0_26
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f281,definition,
( spl0_27
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f282,plain,
( ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f289,definition,
( spl0_29
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f296,definition,
( spl0_31
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f299,definition,
( spl0_32
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f300,plain,
( ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f301,plain,
( spl0_31
| spl0_32
| ~ spl0_3
| spl0_23 ),
inference(avatar_split_clause,[],[f172,f264,f196,f299,f296]) ).
fof(f303,definition,
( spl0_33
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f306,definition,
( spl0_34
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f307,plain,
( ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_35
<=> ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f311,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( spl0_25
| spl0_34
| ~ spl0_3
| spl0_35 ),
inference(avatar_split_clause,[],[f170,f310,f196,f306,f274]) ).
fof(f313,plain,
( spl0_24
| spl0_18
| ~ spl0_3
| spl0_27 ),
inference(avatar_split_clause,[],[f169,f281,f196,f247,f268]) ).
fof(f319,definition,
( spl0_37
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f321,plain,
( spl0_37
| spl0_8
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f167,f193,f196,f213,f319]) ).
fof(f326,plain,
( spl0_12
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f165,f209,f196,f227]) ).
fof(f332,definition,
( spl0_40
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f339,plain,
( spl0_40
| spl0_14
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f161,f216,f196,f234,f332]) ).
fof(f341,plain,
( spl0_20
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f159,f199,f196,f254]) ).
fof(f342,plain,
( spl0_25
| spl0_8
| ~ spl0_3
| spl0_35 ),
inference(avatar_split_clause,[],[f158,f310,f196,f213,f274]) ).
fof(f343,plain,
( spl0_26
| spl0_14
| ~ spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f157,f227,f196,f234,f278]) ).
fof(f353,definition,
( spl0_44
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f361,definition,
( spl0_46
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f363,plain,
( spl0_46
| spl0_10
| ~ spl0_3
| spl0_27 ),
inference(avatar_split_clause,[],[f152,f281,f196,f220,f361]) ).
fof(f365,definition,
( spl0_47
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f370,definition,
( spl0_48
<=> hskp26 ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f376,definition,
( spl0_50
<=> ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f377,plain,
( ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f380,definition,
( spl0_51
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f383,definition,
( spl0_52
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f385,plain,
( spl0_51
| spl0_52
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f148,f193,f196,f383,f380]) ).
fof(f403,definition,
( spl0_57
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f405,plain,
( spl0_57
| spl0_29
| ~ spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f143,f237,f196,f289,f403]) ).
fof(f417,definition,
( spl0_60
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f419,plain,
( spl0_47
| spl0_60
| ~ spl0_3
| spl0_50 ),
inference(avatar_split_clause,[],[f138,f376,f196,f417,f365]) ).
fof(f422,plain,
( spl0_33
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f135,f190,f196,f303]) ).
fof(f427,definition,
( spl0_61
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f429,plain,
( spl0_61
| spl0_10
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f131,f196,f220,f427]) ).
fof(f441,definition,
( spl0_64
<=> c3_1(a1206) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f443,plain,
( ~ spl0_24
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f128,f441,f268]) ).
fof(f446,definition,
( spl0_65
<=> c2_1(a1207) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f447,plain,
( ~ c2_1(a1207)
| spl0_65 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f448,plain,
( ~ spl0_52
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f127,f446,f383]) ).
fof(f450,definition,
( spl0_66
<=> c1_1(a1207) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f451,plain,
( ~ c1_1(a1207)
| spl0_66 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f452,plain,
( ~ spl0_52
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f126,f450,f383]) ).
fof(f454,definition,
( spl0_67
<=> c0_1(a1207) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f455,plain,
( ~ c0_1(a1207)
| spl0_67 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f456,plain,
( ~ spl0_52
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f125,f454,f383]) ).
fof(f459,definition,
( spl0_68
<=> c3_1(a1210) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f460,plain,
( ~ c3_1(a1210)
| spl0_68 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f461,plain,
( ~ spl0_25
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f124,f459,f274]) ).
fof(f464,definition,
( spl0_69
<=> c2_1(a1211) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f465,plain,
( ~ c2_1(a1211)
| spl0_69 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f466,plain,
( ~ spl0_47
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f123,f464,f365]) ).
fof(f473,definition,
( spl0_71
<=> c3_1(a1212) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f474,plain,
( ~ c3_1(a1212)
| spl0_71 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f475,plain,
( ~ spl0_37
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f121,f473,f319]) ).
fof(f477,definition,
( spl0_72
<=> c0_1(a1212) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f478,plain,
( ~ c0_1(a1212)
| spl0_72 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f479,plain,
( ~ spl0_37
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f120,f477,f319]) ).
fof(f482,definition,
( spl0_73
<=> c3_1(a1215) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f483,plain,
( ~ c3_1(a1215)
| spl0_73 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f484,plain,
( ~ spl0_31
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f119,f482,f296]) ).
fof(f487,definition,
( spl0_74
<=> c3_1(a1216) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f488,plain,
( ~ c3_1(a1216)
| spl0_74 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f489,plain,
( ~ spl0_51
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f118,f487,f380]) ).
fof(f491,definition,
( spl0_75
<=> c2_1(a1216) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f492,plain,
( ~ c2_1(a1216)
| spl0_75 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f493,plain,
( ~ spl0_51
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f117,f491,f380]) ).
fof(f495,definition,
( spl0_76
<=> c1_1(a1216) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f496,plain,
( ~ c1_1(a1216)
| spl0_76 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f497,plain,
( ~ spl0_51
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f116,f495,f380]) ).
fof(f518,definition,
( spl0_81
<=> c3_1(a1223) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f519,plain,
( ~ c3_1(a1223)
| spl0_81 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f520,plain,
( ~ spl0_26
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f111,f518,f278]) ).
fof(f522,definition,
( spl0_82
<=> c1_1(a1223) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f523,plain,
( ~ c1_1(a1223)
| spl0_82 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f524,plain,
( ~ spl0_26
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f110,f522,f278]) ).
fof(f527,definition,
( spl0_83
<=> c2_1(a1224) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f528,plain,
( ~ c2_1(a1224)
| spl0_83 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f529,plain,
( ~ spl0_33
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f109,f527,f303]) ).
fof(f542,definition,
( spl0_86
<=> c2_1(a1232) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f543,plain,
( ~ c2_1(a1232)
| spl0_86 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f544,plain,
( ~ spl0_40
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f106,f542,f332]) ).
fof(f546,definition,
( spl0_87
<=> c0_1(a1232) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f547,plain,
( ~ c0_1(a1232)
| spl0_87 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f548,plain,
( ~ spl0_40
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f105,f546,f332]) ).
fof(f551,definition,
( spl0_88
<=> c2_1(a1233) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f552,plain,
( ~ c2_1(a1233)
| spl0_88 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f553,plain,
( ~ spl0_60
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f104,f551,f417]) ).
fof(f575,definition,
( spl0_93
<=> c3_1(a1247) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f576,plain,
( ~ c3_1(a1247)
| spl0_93 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f577,plain,
( ~ spl0_29
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f99,f575,f289]) ).
fof(f579,definition,
( spl0_94
<=> c2_1(a1247) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f580,plain,
( ~ c2_1(a1247)
| spl0_94 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f581,plain,
( ~ spl0_29
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f98,f579,f289]) ).
fof(f584,definition,
( spl0_95
<=> c0_1(a1250) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f586,plain,
( ~ spl0_57
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f97,f584,f403]) ).
fof(f619,definition,
( spl0_103
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f622,definition,
( spl0_104
<=> c2_1(a1267) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f623,plain,
( ~ c2_1(a1267)
| spl0_104 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f624,plain,
( ~ spl0_103
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f89,f622,f619]) ).
fof(f626,definition,
( spl0_105
<=> c1_1(a1267) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f627,plain,
( ~ c1_1(a1267)
| spl0_105 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f628,plain,
( ~ spl0_103
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f88,f626,f619]) ).
fof(f634,definition,
( spl0_107
<=> c2_1(a1206) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f635,plain,
( c2_1(a1206)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f636,plain,
( spl0_107
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f86,f268,f634]) ).
fof(f638,definition,
( spl0_108
<=> c0_1(a1206) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f639,plain,
( c0_1(a1206)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f640,plain,
( spl0_108
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f85,f268,f638]) ).
fof(f642,definition,
( spl0_109
<=> c1_1(a1210) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f643,plain,
( c1_1(a1210)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f644,plain,
( spl0_109
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f84,f274,f642]) ).
fof(f646,definition,
( spl0_110
<=> c0_1(a1210) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f647,plain,
( c0_1(a1210)
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f648,plain,
( spl0_110
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f83,f274,f646]) ).
fof(f650,definition,
( spl0_111
<=> c1_1(a1211) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f651,plain,
( c1_1(a1211)
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f652,plain,
( spl0_111
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f82,f365,f650]) ).
fof(f654,definition,
( spl0_112
<=> c2_1(a1212) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f655,plain,
( c2_1(a1212)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f656,plain,
( spl0_112
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f81,f319,f654]) ).
fof(f658,definition,
( spl0_113
<=> c2_1(a1215) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f659,plain,
( c2_1(a1215)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f660,plain,
( spl0_113
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f80,f296,f658]) ).
fof(f662,definition,
( spl0_114
<=> c1_1(a1215) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f664,plain,
( spl0_114
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f79,f296,f662]) ).
fof(f678,definition,
( spl0_118
<=> c3_1(a1224) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f679,plain,
( c3_1(a1224)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f680,plain,
( spl0_118
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f75,f303,f678]) ).
fof(f682,definition,
( spl0_119
<=> c1_1(a1224) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f683,plain,
( c1_1(a1224)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f684,plain,
( spl0_119
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f74,f303,f682]) ).
fof(f702,definition,
( spl0_124
<=> c3_1(a1232) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f703,plain,
( c3_1(a1232)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f704,plain,
( spl0_124
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f69,f332,f702]) ).
fof(f706,definition,
( spl0_125
<=> c1_1(a1233) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f707,plain,
( c1_1(a1233)
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f708,plain,
( spl0_125
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f68,f417,f706]) ).
fof(f710,definition,
( spl0_126
<=> c0_1(a1233) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f711,plain,
( c0_1(a1233)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f712,plain,
( spl0_126
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f67,f417,f710]) ).
fof(f734,definition,
( spl0_132
<=> c1_1(a1247) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f736,plain,
( spl0_132
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f61,f289,f734]) ).
fof(f738,definition,
( spl0_133
<=> c3_1(a1250) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f739,plain,
( c3_1(a1250)
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f740,plain,
( spl0_133
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f60,f403,f738]) ).
fof(f742,definition,
( spl0_134
<=> c2_1(a1250) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f743,plain,
( c2_1(a1250)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f744,plain,
( spl0_134
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f59,f403,f742]) ).
fof(f754,definition,
( spl0_137
<=> c0_1(a1267) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f756,plain,
( spl0_137
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f56,f619,f754]) ).
fof(f758,definition,
( spl0_138
<=> c3_1(a1204) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f759,plain,
( c3_1(a1204)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f761,plain,
( spl0_138
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f55,f353,f758]) ).
fof(f763,definition,
( spl0_139
<=> c2_1(a1204) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f764,plain,
( c2_1(a1204)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f765,plain,
( spl0_139
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f54,f353,f763]) ).
fof(f767,definition,
( spl0_140
<=> c0_1(a1204) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f768,plain,
( c0_1(a1204)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f769,plain,
( spl0_140
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f53,f353,f767]) ).
fof(f771,definition,
( spl0_141
<=> c2_1(a1208) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f772,plain,
( c2_1(a1208)
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f774,plain,
( spl0_141
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f52,f370,f771]) ).
fof(f776,definition,
( spl0_142
<=> c1_1(a1208) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f778,plain,
( spl0_142
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f51,f370,f776]) ).
fof(f780,definition,
( spl0_143
<=> c0_1(a1208) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f782,plain,
( spl0_143
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f50,f370,f780]) ).
fof(f784,definition,
( spl0_144
<=> c3_1(a1213) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f785,plain,
( c3_1(a1213)
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f787,plain,
( spl0_144
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f49,f361,f784]) ).
fof(f789,definition,
( spl0_145
<=> c2_1(a1213) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f790,plain,
( c2_1(a1213)
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f791,plain,
( spl0_145
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f48,f361,f789]) ).
fof(f793,definition,
( spl0_146
<=> c1_1(a1213) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f794,plain,
( c1_1(a1213)
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f795,plain,
( spl0_146
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f47,f361,f793]) ).
fof(f797,definition,
( spl0_147
<=> c3_1(a1214) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f798,plain,
( c3_1(a1214)
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f800,plain,
( spl0_147
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f46,f427,f797]) ).
fof(f802,definition,
( spl0_148
<=> c1_1(a1214) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f803,plain,
( c1_1(a1214)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f804,plain,
( spl0_148
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f45,f427,f802]) ).
fof(f806,definition,
( spl0_149
<=> c0_1(a1214) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f807,plain,
( c0_1(a1214)
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f808,plain,
( spl0_149
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f44,f427,f806]) ).
fof(f812,plain,
( spl0_52
| spl0_29
| spl0_46 ),
inference(avatar_split_clause,[],[f40,f361,f289,f383]) ).
fof(f817,plain,
( spl0_40
| spl0_29
| spl0_103 ),
inference(avatar_split_clause,[],[f36,f619,f289,f332]) ).
fof(f820,plain,
( spl0_37
| spl0_31
| spl0_60 ),
inference(avatar_split_clause,[],[f33,f417,f296,f319]) ).
fof(f821,plain,
( spl0_24
| spl0_44
| spl0_48 ),
inference(avatar_split_clause,[],[f32,f370,f353,f268]) ).
fof(f822,plain,
( spl0_103
| spl0_61
| spl0_48 ),
inference(avatar_split_clause,[],[f31,f370,f427,f619]) ).
fof(f848,plain,
( spl0_3
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f6,f619,f196]) ).
fof(f850,plain,
( spl0_3
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f4,f370,f196]) ).
fof(f852,plain,
( spl0_3
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f2,f427,f196]) ).
fof(f854,plain,
( ~ c0_1(a1224)
| ~ c1_1(a1224)
| ~ spl0_2
| ~ spl0_118 ),
inference(resolution,[],[f194,f679]) ).
fof(f856,plain,
( ~ c0_1(a1224)
| ~ spl0_2
| ~ spl0_118
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f854,f683]) ).
fof(f865,plain,
( c3_1(a1206)
| ~ c0_1(a1206)
| ~ spl0_9
| ~ spl0_107 ),
inference(resolution,[],[f217,f635]) ).
fof(f876,plain,
( c3_1(a1216)
| c0_1(a1216)
| ~ spl0_10
| spl0_75 ),
inference(resolution,[],[f221,f492]) ).
fof(f877,plain,
( c3_1(a1207)
| c0_1(a1207)
| ~ spl0_10
| spl0_65 ),
inference(resolution,[],[f221,f447]) ).
fof(f878,plain,
( c3_1(a1207)
| ~ spl0_10
| spl0_65
| spl0_67 ),
inference(forward_subsumption_resolution,[],[f877,f455]) ).
fof(f879,plain,
( c0_1(a1216)
| ~ spl0_10
| spl0_74
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f876,f488]) ).
fof(f889,plain,
( ! [X1] :
( c2_1(X1)
| c3_1(X1) )
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f228,f221]) ).
fof(f890,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(resolution,[],[f889,f210]) ).
fof(f896,plain,
( c3_1(a1216)
| ~ spl0_10
| ~ spl0_12
| spl0_75 ),
inference(resolution,[],[f889,f492]) ).
fof(f898,plain,
( $false
| ~ spl0_10
| ~ spl0_12
| spl0_74
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f896,f488]) ).
fof(f899,plain,
( ~ spl0_10
| ~ spl0_12
| spl0_74
| spl0_75 ),
inference(avatar_contradiction_clause,[],[f898]) ).
fof(f910,plain,
( ~ c0_1(a1267)
| c1_1(a1267)
| ~ spl0_14
| spl0_104 ),
inference(resolution,[],[f235,f623]) ).
fof(f915,plain,
( ~ c0_1(a1216)
| c1_1(a1216)
| ~ spl0_14
| spl0_75 ),
inference(resolution,[],[f235,f492]) ).
fof(f919,plain,
( c1_1(a1216)
| ~ spl0_10
| ~ spl0_14
| spl0_74
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f915,f879]) ).
fof(f923,plain,
( $false
| ~ spl0_10
| ~ spl0_14
| spl0_74
| spl0_75
| spl0_76 ),
inference(forward_subsumption_resolution,[],[f919,f496]) ).
fof(f924,plain,
( ~ spl0_10
| ~ spl0_14
| spl0_74
| spl0_75
| spl0_76 ),
inference(avatar_contradiction_clause,[],[f923]) ).
fof(f928,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_7
| ~ spl0_15 ),
inference(resolution,[],[f238,f210]) ).
fof(f936,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_7
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f928]) ).
fof(f947,plain,
( c0_1(a1207)
| c1_1(a1207)
| ~ spl0_17
| spl0_65 ),
inference(resolution,[],[f245,f447]) ).
fof(f952,plain,
( ! [X2] :
( c3_1(X2)
| c0_1(X2) )
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f191,f221]) ).
fof(f973,definition,
( spl0_150
<=> c3_1(a1233) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f974,plain,
( c3_1(a1233)
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f980,definition,
( spl0_151
<=> c0_1(a1215) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f981,plain,
( ~ c0_1(a1215)
| spl0_151 ),
inference(avatar_component_clause,[],[f980]) ).
fof(f989,plain,
( ! [X1] :
( c3_1(X1)
| c1_1(X1) )
| ~ spl0_1
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f258,f952]) ).
fof(f991,plain,
( ~ c0_1(a1233)
| ~ c1_1(a1233)
| ~ spl0_2
| ~ spl0_150 ),
inference(resolution,[],[f974,f194]) ).
fof(f992,plain,
( ~ c1_1(a1233)
| ~ spl0_2
| ~ spl0_126
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f991,f711]) ).
fof(f995,plain,
( $false
| ~ spl0_2
| ~ spl0_125
| ~ spl0_126
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f992,f707]) ).
fof(f996,plain,
( ~ spl0_2
| ~ spl0_125
| ~ spl0_126
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[],[f995]) ).
fof(f999,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_1
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f241,f952]) ).
fof(f1002,plain,
( c3_1(a1247)
| c0_1(a1247)
| ~ spl0_10
| spl0_94 ),
inference(resolution,[],[f580,f221]) ).
fof(f1011,plain,
( c1_1(a1223)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_21
| spl0_81 ),
inference(resolution,[],[f989,f519]) ).
fof(f1019,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| ~ spl0_21
| spl0_81
| spl0_82 ),
inference(forward_subsumption_resolution,[],[f1011,f523]) ).
fof(f1020,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_21
| spl0_81
| spl0_82 ),
inference(avatar_contradiction_clause,[],[f1019]) ).
fof(f1043,plain,
( ~ c0_1(a1214)
| ~ c1_1(a1214)
| ~ spl0_2
| ~ spl0_147 ),
inference(resolution,[],[f798,f194]) ).
fof(f1050,plain,
( ~ c3_1(a1204)
| ~ c0_1(a1204)
| ~ spl0_13
| ~ spl0_139 ),
inference(resolution,[],[f764,f231]) ).
fof(f1057,plain,
( ~ c0_1(a1204)
| ~ spl0_13
| ~ spl0_138
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f1050,f759]) ).
fof(f1058,plain,
( ~ spl0_140
| ~ spl0_13
| ~ spl0_138
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1057,f763,f758,f230,f767]) ).
fof(f1079,plain,
( ~ c0_1(a1214)
| ~ spl0_2
| ~ spl0_147
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f1043,f803]) ).
fof(f1088,plain,
( ~ spl0_149
| ~ spl0_2
| ~ spl0_147
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1079,f802,f797,f193,f806]) ).
fof(f1089,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1) )
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f248,f210]) ).
fof(f1090,plain,
( ~ c0_1(a1208)
| ~ c1_1(a1208)
| ~ spl0_7
| ~ spl0_141 ),
inference(resolution,[],[f772,f210]) ).
fof(f1093,plain,
( ~ spl0_142
| ~ spl0_143
| ~ spl0_7
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f1090,f771,f209,f780,f776]) ).
fof(f1094,plain,
( ! [X2] :
( c2_1(X2)
| c0_1(X2) )
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f204,f221]) ).
fof(f1118,plain,
( c0_1(a1224)
| ~ spl0_5
| ~ spl0_10
| spl0_83 ),
inference(resolution,[],[f1094,f528]) ).
fof(f1122,plain,
( c0_1(a1207)
| ~ spl0_5
| ~ spl0_10
| spl0_65 ),
inference(resolution,[],[f1094,f447]) ).
fof(f1123,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| spl0_65
| spl0_67 ),
inference(forward_subsumption_resolution,[],[f1122,f455]) ).
fof(f1124,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_65
| spl0_67 ),
inference(avatar_contradiction_clause,[],[f1123]) ).
fof(f1127,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_83
| ~ spl0_118
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f1118,f856]) ).
fof(f1128,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_83
| ~ spl0_118
| ~ spl0_119 ),
inference(avatar_contradiction_clause,[],[f1127]) ).
fof(f1132,plain,
( ! [X1] :
( c2_1(X1)
| ~ c1_1(X1) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f207,f889]) ).
fof(f1138,plain,
( ~ c1_1(a1211)
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| spl0_69 ),
inference(resolution,[],[f1132,f465]) ).
fof(f1143,plain,
( $false
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| spl0_69
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f1138,f651]) ).
fof(f1144,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| spl0_69
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f1143]) ).
fof(f1149,plain,
( ! [X0] :
( ~ c3_1(X0)
| c2_1(X0) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f377,f1132]) ).
fof(f1151,plain,
( ! [X0] : c2_1(X0)
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1149,f889]) ).
fof(f1155,plain,
( $false
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_50
| spl0_86 ),
inference(resolution,[],[f1151,f543]) ).
fof(f1162,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_50
| spl0_86 ),
inference(avatar_contradiction_clause,[],[f1155]) ).
fof(f1169,plain,
( ! [X1] :
( c3_1(X1)
| ~ c0_1(X1) )
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f217,f889]) ).
fof(f1175,plain,
( ! [X0] :
( c2_1(X0)
| c1_1(X0) )
| ~ spl0_10
| ~ spl0_12
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f377,f889]) ).
fof(f1176,plain,
( ! [X1] : c3_1(X1)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1169,f952]) ).
fof(f1184,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| spl0_73 ),
inference(resolution,[],[f1176,f483]) ).
fof(f1187,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| spl0_73 ),
inference(avatar_contradiction_clause,[],[f1184]) ).
fof(f1196,plain,
( spl0_16
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f890,f227,f220,f209,f240]) ).
fof(f1197,plain,
( spl0_16
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f936,f237,f209,f240]) ).
fof(f1200,definition,
( spl0_155
<=> c0_1(a1247) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f1203,plain,
( spl0_155
| spl0_93
| ~ spl0_10
| spl0_94 ),
inference(avatar_split_clause,[],[f1002,f579,f220,f575,f1200]) ).
fof(f1213,plain,
( ~ c1_1(a1213)
| ~ spl0_7
| ~ spl0_18
| ~ spl0_145 ),
inference(resolution,[],[f1089,f790]) ).
fof(f1226,plain,
( $false
| ~ spl0_7
| ~ spl0_18
| ~ spl0_145
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f1213,f794]) ).
fof(f1227,plain,
( ~ spl0_7
| ~ spl0_18
| ~ spl0_145
| ~ spl0_146 ),
inference(avatar_contradiction_clause,[],[f1226]) ).
fof(f1247,plain,
( c1_1(a1207)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_50
| spl0_65 ),
inference(resolution,[],[f447,f1175]) ).
fof(f1251,plain,
( $false
| ~ spl0_10
| ~ spl0_12
| ~ spl0_50
| spl0_65
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f1247,f451]) ).
fof(f1252,plain,
( ~ spl0_10
| ~ spl0_12
| ~ spl0_50
| spl0_65
| spl0_66 ),
inference(avatar_contradiction_clause,[],[f1251]) ).
fof(f1265,plain,
( ~ c3_1(a1213)
| ~ c1_1(a1213)
| ~ spl0_4
| ~ spl0_145 ),
inference(resolution,[],[f200,f790]) ).
fof(f1281,plain,
( ~ c1_1(a1213)
| ~ spl0_4
| ~ spl0_144
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f1265,f785]) ).
fof(f1287,plain,
( ~ c0_1(a1213)
| ~ c1_1(a1213)
| ~ spl0_7
| ~ spl0_145 ),
inference(resolution,[],[f210,f790]) ).
fof(f1302,definition,
( spl0_157
<=> c0_1(a1213) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f1304,plain,
( ~ spl0_146
| ~ spl0_157
| ~ spl0_7
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1287,f789,f209,f1302,f793]) ).
fof(f1311,plain,
( c1_1(a1232)
| c0_1(a1232)
| ~ spl0_8
| ~ spl0_124 ),
inference(resolution,[],[f214,f703]) ).
fof(f1313,plain,
( c1_1(a1207)
| c0_1(a1207)
| ~ spl0_8
| ~ spl0_10
| spl0_65
| spl0_67 ),
inference(resolution,[],[f214,f878]) ).
fof(f1314,plain,
( c0_1(a1207)
| ~ spl0_8
| ~ spl0_10
| spl0_65
| spl0_66
| spl0_67 ),
inference(forward_subsumption_resolution,[],[f1313,f451]) ).
fof(f1315,plain,
( c1_1(a1232)
| ~ spl0_8
| spl0_87
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f1311,f547]) ).
fof(f1320,plain,
( $false
| ~ spl0_8
| ~ spl0_10
| spl0_65
| spl0_66
| spl0_67 ),
inference(forward_subsumption_resolution,[],[f1314,f455]) ).
fof(f1321,plain,
( ~ spl0_8
| ~ spl0_10
| spl0_65
| spl0_66
| spl0_67 ),
inference(avatar_contradiction_clause,[],[f1320]) ).
fof(f1327,plain,
( c0_1(a1207)
| ~ spl0_17
| spl0_65
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f947,f451]) ).
fof(f1334,plain,
( spl0_67
| ~ spl0_17
| spl0_65
| spl0_66 ),
inference(avatar_split_clause,[],[f1327,f450,f446,f244,f454]) ).
fof(f1351,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f241,f194]) ).
fof(f1381,plain,
( ! [X2] :
( c3_1(X2)
| ~ c1_1(X2) )
| ~ spl0_2
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f255,f1351]) ).
fof(f1420,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_13
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f265,f231]) ).
fof(f1422,plain,
( ~ c0_1(a1214)
| ~ spl0_13
| ~ spl0_23
| ~ spl0_147 ),
inference(resolution,[],[f1420,f798]) ).
fof(f1437,plain,
( ~ spl0_149
| ~ spl0_13
| ~ spl0_23
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1422,f797,f264,f230,f806]) ).
fof(f1459,plain,
( ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1) )
| ~ spl0_2
| ~ spl0_16
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f307,f1351]) ).
fof(f1460,plain,
( ! [X1] : ~ c1_1(X1)
| ~ spl0_2
| ~ spl0_16
| ~ spl0_20
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1459,f1381]) ).
fof(f1462,plain,
( $false
| ~ spl0_2
| ~ spl0_16
| ~ spl0_20
| ~ spl0_34
| ~ spl0_146 ),
inference(resolution,[],[f1460,f794]) ).
fof(f1464,plain,
( $false
| ~ spl0_2
| ~ spl0_16
| ~ spl0_20
| ~ spl0_34
| ~ spl0_125 ),
inference(resolution,[],[f1460,f707]) ).
fof(f1471,plain,
( ~ spl0_2
| ~ spl0_16
| ~ spl0_20
| ~ spl0_34
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f1464]) ).
fof(f1473,plain,
( ~ spl0_2
| ~ spl0_16
| ~ spl0_20
| ~ spl0_34
| ~ spl0_146 ),
inference(avatar_contradiction_clause,[],[f1462]) ).
fof(f1475,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_13
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f311,f231]) ).
fof(f1480,plain,
( ~ c3_1(a1250)
| ~ spl0_13
| ~ spl0_35
| ~ spl0_134 ),
inference(resolution,[],[f1475,f743]) ).
fof(f1490,plain,
( $false
| ~ spl0_13
| ~ spl0_35
| ~ spl0_133
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f1480,f739]) ).
fof(f1491,plain,
( ~ spl0_13
| ~ spl0_35
| ~ spl0_133
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f1490]) ).
fof(f1522,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_7
| ~ spl0_23 ),
inference(resolution,[],[f265,f210]) ).
fof(f1531,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_7
| ~ spl0_23 ),
inference(duplicate_literal_removal,[],[f1522]) ).
fof(f1545,plain,
( c0_1(a1213)
| ~ c3_1(a1213)
| ~ spl0_35
| ~ spl0_145 ),
inference(resolution,[],[f311,f790]) ).
fof(f1547,plain,
( c0_1(a1250)
| ~ c3_1(a1250)
| ~ spl0_35
| ~ spl0_134 ),
inference(resolution,[],[f311,f743]) ).
fof(f1561,plain,
( c0_1(a1213)
| ~ spl0_35
| ~ spl0_144
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f1545,f785]) ).
fof(f1564,plain,
( spl0_157
| ~ spl0_35
| ~ spl0_144
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1561,f789,f784,f310,f1302]) ).
fof(f1573,plain,
( c0_1(a1250)
| ~ spl0_35
| ~ spl0_133
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f1547,f739]) ).
fof(f1574,plain,
( spl0_95
| ~ spl0_35
| ~ spl0_133
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1573,f742,f738,f310,f584]) ).
fof(f1580,plain,
( ~ spl0_146
| ~ spl0_4
| ~ spl0_144
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1281,f789,f784,f199,f793]) ).
fof(f1624,plain,
( ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1) )
| ~ spl0_7
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f282,f210]) ).
fof(f1626,plain,
( spl0_2
| ~ spl0_7
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1531,f264,f209,f193]) ).
fof(f1629,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1) )
| ~ spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f300,f210]) ).
fof(f1652,plain,
( ~ c1_1(a1215)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_16
| spl0_73 ),
inference(resolution,[],[f999,f483]) ).
fof(f1661,plain,
( ~ spl0_114
| ~ spl0_1
| ~ spl0_10
| ~ spl0_16
| spl0_73 ),
inference(avatar_split_clause,[],[f1652,f482,f240,f220,f190,f662]) ).
fof(f1709,plain,
( c3_1(a1206)
| ~ spl0_9
| ~ spl0_107
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f865,f639]) ).
fof(f1712,plain,
( spl0_64
| ~ spl0_9
| ~ spl0_107
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1709,f638,f634,f216,f441]) ).
fof(f1713,plain,
( ~ c0_1(a1214)
| ~ spl0_7
| ~ spl0_27
| ~ spl0_148 ),
inference(resolution,[],[f1624,f803]) ).
fof(f1728,plain,
( $false
| ~ spl0_7
| ~ spl0_27
| ~ spl0_148
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[],[f1713,f807]) ).
fof(f1729,plain,
( ~ spl0_7
| ~ spl0_27
| ~ spl0_148
| ~ spl0_149 ),
inference(avatar_contradiction_clause,[],[f1728]) ).
fof(f1748,plain,
( ~ c0_1(a1204)
| ~ spl0_7
| ~ spl0_32
| ~ spl0_139 ),
inference(resolution,[],[f1629,f764]) ).
fof(f1755,plain,
( ~ c0_1(a1206)
| ~ spl0_7
| ~ spl0_32
| ~ spl0_107 ),
inference(resolution,[],[f1629,f635]) ).
fof(f1757,plain,
( $false
| ~ spl0_7
| ~ spl0_32
| ~ spl0_107
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f1755,f639]) ).
fof(f1758,plain,
( ~ spl0_7
| ~ spl0_32
| ~ spl0_107
| ~ spl0_108 ),
inference(avatar_contradiction_clause,[],[f1757]) ).
fof(f1762,plain,
( $false
| ~ spl0_7
| ~ spl0_32
| ~ spl0_139
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f1748,f768]) ).
fof(f1763,plain,
( ~ spl0_7
| ~ spl0_32
| ~ spl0_139
| ~ spl0_140 ),
inference(avatar_contradiction_clause,[],[f1762]) ).
fof(f1785,plain,
( ~ c0_1(a1215)
| ~ c1_1(a1215)
| ~ spl0_7
| ~ spl0_113 ),
inference(resolution,[],[f659,f210]) ).
fof(f1786,plain,
( ~ spl0_114
| ~ spl0_151
| ~ spl0_7
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f1785,f658,f209,f980,f662]) ).
fof(f1806,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1) )
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f224,f200]) ).
fof(f1828,plain,
( c3_1(a1247)
| ~ c1_1(a1247)
| ~ spl0_15
| spl0_94 ),
inference(resolution,[],[f238,f580]) ).
fof(f1829,plain,
( c3_1(a1233)
| ~ c1_1(a1233)
| ~ spl0_15
| spl0_88 ),
inference(resolution,[],[f238,f552]) ).
fof(f1845,plain,
( ~ c0_1(a1247)
| ~ c1_1(a1247)
| ~ spl0_16
| spl0_93 ),
inference(resolution,[],[f241,f576]) ).
fof(f1850,plain,
( ~ c0_1(a1210)
| ~ c1_1(a1210)
| ~ spl0_16
| spl0_68 ),
inference(resolution,[],[f241,f460]) ).
fof(f1854,plain,
( ~ c1_1(a1210)
| ~ spl0_16
| spl0_68
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f1850,f647]) ).
fof(f1857,plain,
( $false
| ~ spl0_16
| spl0_68
| ~ spl0_109
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f1854,f643]) ).
fof(f1858,plain,
( ~ spl0_16
| spl0_68
| ~ spl0_109
| ~ spl0_110 ),
inference(avatar_contradiction_clause,[],[f1857]) ).
fof(f1882,plain,
( c3_1(a1215)
| c0_1(a1215)
| ~ spl0_1
| ~ spl0_113 ),
inference(resolution,[],[f191,f659]) ).
fof(f1883,plain,
( c3_1(a1212)
| c0_1(a1212)
| ~ spl0_1
| ~ spl0_112 ),
inference(resolution,[],[f191,f655]) ).
fof(f1887,plain,
( c0_1(a1212)
| ~ spl0_1
| spl0_71
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f1883,f474]) ).
fof(f1888,plain,
( c0_1(a1215)
| ~ spl0_1
| spl0_73
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f1882,f483]) ).
fof(f1891,plain,
( $false
| ~ spl0_1
| spl0_71
| spl0_72
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f1887,f478]) ).
fof(f1892,plain,
( ~ spl0_1
| spl0_71
| spl0_72
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f1891]) ).
fof(f1893,plain,
( $false
| ~ spl0_1
| spl0_73
| ~ spl0_113
| spl0_151 ),
inference(forward_subsumption_resolution,[],[f1888,f981]) ).
fof(f1894,plain,
( ~ spl0_1
| spl0_73
| ~ spl0_113
| spl0_151 ),
inference(avatar_contradiction_clause,[],[f1893]) ).
fof(f1902,plain,
( ~ c1_1(a1232)
| ~ c3_1(a1232)
| ~ spl0_6
| spl0_86 ),
inference(resolution,[],[f207,f543]) ).
fof(f1903,plain,
( ~ c1_1(a1224)
| ~ c3_1(a1224)
| ~ spl0_6
| spl0_83 ),
inference(resolution,[],[f207,f528]) ).
fof(f1940,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_11
| ~ spl0_12 ),
inference(resolution,[],[f228,f224]) ).
fof(f1944,plain,
( c3_1(a1247)
| ~ c0_1(a1247)
| ~ spl0_12
| spl0_94 ),
inference(resolution,[],[f228,f580]) ).
fof(f1945,plain,
( c3_1(a1233)
| ~ c0_1(a1233)
| ~ spl0_12
| spl0_88 ),
inference(resolution,[],[f228,f552]) ).
fof(f1952,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_11
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f1940]) ).
fof(f1957,plain,
( ~ c0_1(a1247)
| ~ spl0_12
| spl0_93
| spl0_94 ),
inference(forward_subsumption_resolution,[],[f1944,f576]) ).
fof(f1963,plain,
( ~ spl0_155
| ~ spl0_12
| spl0_93
| spl0_94 ),
inference(avatar_split_clause,[],[f1957,f579,f575,f227,f1200]) ).
fof(f1980,plain,
( ~ c3_1(a1232)
| c0_1(a1232)
| ~ spl0_5
| spl0_86 ),
inference(resolution,[],[f204,f543]) ).
fof(f1988,plain,
( c0_1(a1232)
| ~ spl0_5
| spl0_86
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f1980,f703]) ).
fof(f1991,plain,
( $false
| ~ spl0_5
| spl0_86
| spl0_87
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f1988,f547]) ).
fof(f1992,plain,
( ~ spl0_5
| spl0_86
| spl0_87
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f1991]) ).
fof(f1993,plain,
( ~ c0_1(a1267)
| ~ spl0_14
| spl0_104
| spl0_105 ),
inference(forward_subsumption_resolution,[],[f910,f627]) ).
fof(f2005,plain,
( ~ spl0_137
| ~ spl0_14
| spl0_104
| spl0_105 ),
inference(avatar_split_clause,[],[f1993,f626,f622,f234,f754]) ).
fof(f2044,plain,
( ! [X2] :
( c3_1(X2)
| ~ c1_1(X2) )
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f255,f241]) ).
fof(f2047,plain,
( ~ c1_1(a1247)
| ~ spl0_16
| ~ spl0_20
| spl0_93 ),
inference(resolution,[],[f2044,f576]) ).
fof(f2050,plain,
( ~ c1_1(a1215)
| ~ spl0_16
| ~ spl0_20
| spl0_73 ),
inference(resolution,[],[f2044,f483]) ).
fof(f2073,plain,
( ~ spl0_132
| ~ spl0_155
| ~ spl0_16
| spl0_93 ),
inference(avatar_split_clause,[],[f1845,f575,f240,f1200,f734]) ).
fof(f2074,plain,
( ~ spl0_132
| ~ spl0_16
| ~ spl0_20
| spl0_93 ),
inference(avatar_split_clause,[],[f2047,f575,f254,f240,f734]) ).
fof(f2075,plain,
( ~ spl0_114
| ~ spl0_16
| ~ spl0_20
| spl0_73 ),
inference(avatar_split_clause,[],[f2050,f482,f254,f240,f662]) ).
fof(f2085,plain,
( ~ c1_1(a1213)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_145 ),
inference(resolution,[],[f1806,f790]) ).
fof(f2092,plain,
( ~ spl0_146
| ~ spl0_4
| ~ spl0_11
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f2085,f789,f223,f199,f793]) ).
fof(f2125,plain,
( ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1) )
| ~ spl0_4
| ~ spl0_11
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f282,f1806]) ).
fof(f2126,plain,
( ~ c0_1(a1214)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_27
| ~ spl0_148 ),
inference(resolution,[],[f2125,f803]) ).
fof(f2132,plain,
( $false
| ~ spl0_4
| ~ spl0_11
| ~ spl0_27
| ~ spl0_148
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[],[f2126,f807]) ).
fof(f2133,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_27
| ~ spl0_148
| ~ spl0_149 ),
inference(avatar_contradiction_clause,[],[f2132]) ).
fof(f2136,plain,
( ~ c3_1(a1232)
| ~ spl0_6
| ~ spl0_8
| spl0_86
| spl0_87
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f1902,f1315]) ).
fof(f2138,plain,
( ~ spl0_118
| ~ spl0_119
| ~ spl0_6
| spl0_83 ),
inference(avatar_split_clause,[],[f1903,f527,f206,f682,f678]) ).
fof(f2149,plain,
( ~ spl0_125
| spl0_150
| ~ spl0_15
| spl0_88 ),
inference(avatar_split_clause,[],[f1829,f551,f237,f973,f706]) ).
fof(f2151,plain,
( ~ spl0_126
| spl0_150
| ~ spl0_12
| spl0_88 ),
inference(avatar_split_clause,[],[f1945,f551,f227,f973,f710]) ).
fof(f2152,plain,
( spl0_16
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1952,f227,f223,f240]) ).
fof(f2157,plain,
( ~ c1_1(a1247)
| ~ spl0_15
| spl0_93
| spl0_94 ),
inference(forward_subsumption_resolution,[],[f1828,f576]) ).
fof(f2160,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| spl0_86
| spl0_87
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f2136,f703]) ).
fof(f2161,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_86
| spl0_87
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f2160]) ).
fof(f2163,plain,
( ~ spl0_132
| ~ spl0_15
| spl0_93
| spl0_94 ),
inference(avatar_split_clause,[],[f2157,f579,f575,f237,f734]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f201]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f211]) ).
cnf(s3,plain,
( spl0_2
| ~ spl0_3
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f218]) ).
cnf(s4,plain,
( spl0_2
| ~ spl0_3
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f225]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_8
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f232]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_14
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f242]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_12
| spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f259]) ).
cnf(s10,plain,
( ~ spl0_3
| spl0_4
| spl0_13
| spl0_24 ),
inference(sat_conversion,[],[f270]) ).
cnf(s11,plain,
( spl0_1
| ~ spl0_3
| spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f271]) ).
cnf(s12,plain,
( ~ spl0_3
| spl0_5
| spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f272]) ).
cnf(s13,plain,
( ~ spl0_3
| spl0_4
| spl0_23
| spl0_25 ),
inference(sat_conversion,[],[f276]) ).
cnf(s17,plain,
( ~ spl0_3
| spl0_23
| spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f301]) ).
cnf(s19,plain,
( ~ spl0_3
| spl0_25
| spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f312]) ).
cnf(s20,plain,
( ~ spl0_3
| spl0_18
| spl0_24
| spl0_27 ),
inference(sat_conversion,[],[f313]) ).
cnf(s22,plain,
( spl0_2
| ~ spl0_3
| spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f321]) ).
cnf(s24,plain,
( ~ spl0_3
| spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f326]) ).
cnf(s28,plain,
( ~ spl0_3
| spl0_9
| spl0_14
| spl0_40 ),
inference(sat_conversion,[],[f339]) ).
cnf(s30,plain,
( ~ spl0_3
| spl0_4
| spl0_20 ),
inference(sat_conversion,[],[f341]) ).
cnf(s31,plain,
( ~ spl0_3
| spl0_8
| spl0_25
| spl0_35 ),
inference(sat_conversion,[],[f342]) ).
cnf(s32,plain,
( ~ spl0_3
| spl0_12
| spl0_14
| spl0_26 ),
inference(sat_conversion,[],[f343]) ).
cnf(s37,plain,
( ~ spl0_3
| spl0_10
| spl0_27
| spl0_46 ),
inference(sat_conversion,[],[f363]) ).
cnf(s41,plain,
( spl0_2
| ~ spl0_3
| spl0_51
| spl0_52 ),
inference(sat_conversion,[],[f385]) ).
cnf(s46,plain,
( ~ spl0_3
| spl0_15
| spl0_29
| spl0_57 ),
inference(sat_conversion,[],[f405]) ).
cnf(s51,plain,
( ~ spl0_3
| spl0_47
| spl0_50
| spl0_60 ),
inference(sat_conversion,[],[f419]) ).
cnf(s54,plain,
( spl0_1
| ~ spl0_3
| spl0_33 ),
inference(sat_conversion,[],[f422]) ).
cnf(s58,plain,
( ~ spl0_3
| spl0_10
| spl0_61 ),
inference(sat_conversion,[],[f429]) ).
cnf(s61,plain,
( ~ spl0_24
| ~ spl0_64 ),
inference(sat_conversion,[],[f443]) ).
cnf(s62,plain,
( ~ spl0_52
| ~ spl0_65 ),
inference(sat_conversion,[],[f448]) ).
cnf(s63,plain,
( ~ spl0_52
| ~ spl0_66 ),
inference(sat_conversion,[],[f452]) ).
cnf(s64,plain,
( ~ spl0_52
| ~ spl0_67 ),
inference(sat_conversion,[],[f456]) ).
cnf(s65,plain,
( ~ spl0_25
| ~ spl0_68 ),
inference(sat_conversion,[],[f461]) ).
cnf(s66,plain,
( ~ spl0_47
| ~ spl0_69 ),
inference(sat_conversion,[],[f466]) ).
cnf(s68,plain,
( ~ spl0_37
| ~ spl0_71 ),
inference(sat_conversion,[],[f475]) ).
cnf(s69,plain,
( ~ spl0_37
| ~ spl0_72 ),
inference(sat_conversion,[],[f479]) ).
cnf(s70,plain,
( ~ spl0_31
| ~ spl0_73 ),
inference(sat_conversion,[],[f484]) ).
cnf(s71,plain,
( ~ spl0_51
| ~ spl0_74 ),
inference(sat_conversion,[],[f489]) ).
cnf(s72,plain,
( ~ spl0_51
| ~ spl0_75 ),
inference(sat_conversion,[],[f493]) ).
cnf(s73,plain,
( ~ spl0_51
| ~ spl0_76 ),
inference(sat_conversion,[],[f497]) ).
cnf(s78,plain,
( ~ spl0_26
| ~ spl0_81 ),
inference(sat_conversion,[],[f520]) ).
cnf(s79,plain,
( ~ spl0_26
| ~ spl0_82 ),
inference(sat_conversion,[],[f524]) ).
cnf(s80,plain,
( ~ spl0_33
| ~ spl0_83 ),
inference(sat_conversion,[],[f529]) ).
cnf(s83,plain,
( ~ spl0_40
| ~ spl0_86 ),
inference(sat_conversion,[],[f544]) ).
cnf(s84,plain,
( ~ spl0_40
| ~ spl0_87 ),
inference(sat_conversion,[],[f548]) ).
cnf(s85,plain,
( ~ spl0_60
| ~ spl0_88 ),
inference(sat_conversion,[],[f553]) ).
cnf(s90,plain,
( ~ spl0_29
| ~ spl0_93 ),
inference(sat_conversion,[],[f577]) ).
cnf(s91,plain,
( ~ spl0_29
| ~ spl0_94 ),
inference(sat_conversion,[],[f581]) ).
cnf(s92,plain,
( ~ spl0_57
| ~ spl0_95 ),
inference(sat_conversion,[],[f586]) ).
cnf(s100,plain,
( ~ spl0_103
| ~ spl0_104 ),
inference(sat_conversion,[],[f624]) ).
cnf(s101,plain,
( ~ spl0_103
| ~ spl0_105 ),
inference(sat_conversion,[],[f628]) ).
cnf(s103,plain,
( ~ spl0_24
| spl0_107 ),
inference(sat_conversion,[],[f636]) ).
cnf(s104,plain,
( ~ spl0_24
| spl0_108 ),
inference(sat_conversion,[],[f640]) ).
cnf(s105,plain,
( ~ spl0_25
| spl0_109 ),
inference(sat_conversion,[],[f644]) ).
cnf(s106,plain,
( ~ spl0_25
| spl0_110 ),
inference(sat_conversion,[],[f648]) ).
cnf(s107,plain,
( ~ spl0_47
| spl0_111 ),
inference(sat_conversion,[],[f652]) ).
cnf(s108,plain,
( ~ spl0_37
| spl0_112 ),
inference(sat_conversion,[],[f656]) ).
cnf(s109,plain,
( ~ spl0_31
| spl0_113 ),
inference(sat_conversion,[],[f660]) ).
cnf(s110,plain,
( ~ spl0_31
| spl0_114 ),
inference(sat_conversion,[],[f664]) ).
cnf(s114,plain,
( ~ spl0_33
| spl0_118 ),
inference(sat_conversion,[],[f680]) ).
cnf(s115,plain,
( ~ spl0_33
| spl0_119 ),
inference(sat_conversion,[],[f684]) ).
cnf(s120,plain,
( ~ spl0_40
| spl0_124 ),
inference(sat_conversion,[],[f704]) ).
cnf(s121,plain,
( ~ spl0_60
| spl0_125 ),
inference(sat_conversion,[],[f708]) ).
cnf(s122,plain,
( ~ spl0_60
| spl0_126 ),
inference(sat_conversion,[],[f712]) ).
cnf(s128,plain,
( ~ spl0_29
| spl0_132 ),
inference(sat_conversion,[],[f736]) ).
cnf(s129,plain,
( ~ spl0_57
| spl0_133 ),
inference(sat_conversion,[],[f740]) ).
cnf(s130,plain,
( ~ spl0_57
| spl0_134 ),
inference(sat_conversion,[],[f744]) ).
cnf(s133,plain,
( ~ spl0_103
| spl0_137 ),
inference(sat_conversion,[],[f756]) ).
cnf(s134,plain,
( ~ spl0_44
| spl0_138 ),
inference(sat_conversion,[],[f761]) ).
cnf(s135,plain,
( ~ spl0_44
| spl0_139 ),
inference(sat_conversion,[],[f765]) ).
cnf(s136,plain,
( ~ spl0_44
| spl0_140 ),
inference(sat_conversion,[],[f769]) ).
cnf(s137,plain,
( ~ spl0_48
| spl0_141 ),
inference(sat_conversion,[],[f774]) ).
cnf(s138,plain,
( ~ spl0_48
| spl0_142 ),
inference(sat_conversion,[],[f778]) ).
cnf(s139,plain,
( ~ spl0_48
| spl0_143 ),
inference(sat_conversion,[],[f782]) ).
cnf(s140,plain,
( ~ spl0_46
| spl0_144 ),
inference(sat_conversion,[],[f787]) ).
cnf(s141,plain,
( ~ spl0_46
| spl0_145 ),
inference(sat_conversion,[],[f791]) ).
cnf(s142,plain,
( ~ spl0_46
| spl0_146 ),
inference(sat_conversion,[],[f795]) ).
cnf(s143,plain,
( ~ spl0_61
| spl0_147 ),
inference(sat_conversion,[],[f800]) ).
cnf(s144,plain,
( ~ spl0_61
| spl0_148 ),
inference(sat_conversion,[],[f804]) ).
cnf(s145,plain,
( ~ spl0_61
| spl0_149 ),
inference(sat_conversion,[],[f808]) ).
cnf(s149,plain,
( spl0_29
| spl0_46
| spl0_52 ),
inference(sat_conversion,[],[f812]) ).
cnf(s153,plain,
( spl0_29
| spl0_40
| spl0_103 ),
inference(sat_conversion,[],[f817]) ).
cnf(s156,plain,
( spl0_31
| spl0_37
| spl0_60 ),
inference(sat_conversion,[],[f820]) ).
cnf(s157,plain,
( spl0_24
| spl0_44
| spl0_48 ),
inference(sat_conversion,[],[f821]) ).
cnf(s158,plain,
( spl0_48
| spl0_61
| spl0_103 ),
inference(sat_conversion,[],[f822]) ).
cnf(s183,plain,
( spl0_3
| ~ spl0_103 ),
inference(sat_conversion,[],[f848]) ).
cnf(s185,plain,
( spl0_3
| ~ spl0_48 ),
inference(sat_conversion,[],[f850]) ).
cnf(s187,plain,
( spl0_3
| ~ spl0_61 ),
inference(sat_conversion,[],[f852]) ).
cnf(s193,plain,
( ~ spl0_10
| ~ spl0_12
| spl0_74
| spl0_75 ),
inference(sat_conversion,[],[f899]) ).
cnf(s195,plain,
( ~ spl0_10
| ~ spl0_14
| spl0_74
| spl0_75
| spl0_76 ),
inference(sat_conversion,[],[f924]) ).
cnf(s203,plain,
( ~ spl0_2
| ~ spl0_125
| ~ spl0_126
| ~ spl0_150 ),
inference(sat_conversion,[],[f996]) ).
cnf(s208,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_21
| spl0_81
| spl0_82 ),
inference(sat_conversion,[],[f1020]) ).
cnf(s216,plain,
( ~ spl0_13
| ~ spl0_138
| ~ spl0_139
| ~ spl0_140 ),
inference(sat_conversion,[],[f1058]) ).
cnf(s225,plain,
( ~ spl0_2
| ~ spl0_147
| ~ spl0_148
| ~ spl0_149 ),
inference(sat_conversion,[],[f1088]) ).
cnf(s226,plain,
( ~ spl0_7
| ~ spl0_141
| ~ spl0_142
| ~ spl0_143 ),
inference(sat_conversion,[],[f1093]) ).
cnf(s231,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_65
| spl0_67 ),
inference(sat_conversion,[],[f1124]) ).
cnf(s233,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_83
| ~ spl0_118
| ~ spl0_119 ),
inference(sat_conversion,[],[f1128]) ).
cnf(s237,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| spl0_69
| ~ spl0_111 ),
inference(sat_conversion,[],[f1144]) ).
cnf(s243,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_50
| spl0_86 ),
inference(sat_conversion,[],[f1162]) ).
cnf(s254,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| spl0_73 ),
inference(sat_conversion,[],[f1187]) ).
cnf(s258,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f1196]) ).
cnf(s259,plain,
( ~ spl0_7
| ~ spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f1197]) ).
cnf(s260,plain,
( ~ spl0_10
| spl0_93
| spl0_94
| spl0_155 ),
inference(sat_conversion,[],[f1203]) ).
cnf(s268,plain,
( ~ spl0_7
| ~ spl0_18
| ~ spl0_145
| ~ spl0_146 ),
inference(sat_conversion,[],[f1227]) ).
cnf(s277,plain,
( ~ spl0_10
| ~ spl0_12
| ~ spl0_50
| spl0_65
| spl0_66 ),
inference(sat_conversion,[],[f1252]) ).
cnf(s282,plain,
( ~ spl0_7
| ~ spl0_145
| ~ spl0_146
| ~ spl0_157 ),
inference(sat_conversion,[],[f1304]) ).
cnf(s288,plain,
( ~ spl0_8
| ~ spl0_10
| spl0_65
| spl0_66
| spl0_67 ),
inference(sat_conversion,[],[f1321]) ).
cnf(s294,plain,
( ~ spl0_17
| spl0_65
| spl0_66
| spl0_67 ),
inference(sat_conversion,[],[f1334]) ).
cnf(s318,plain,
( ~ spl0_13
| ~ spl0_23
| ~ spl0_147
| ~ spl0_149 ),
inference(sat_conversion,[],[f1437]) ).
cnf(s323,plain,
( ~ spl0_2
| ~ spl0_16
| ~ spl0_20
| ~ spl0_34
| ~ spl0_125 ),
inference(sat_conversion,[],[f1471]) ).
cnf(s325,plain,
( ~ spl0_2
| ~ spl0_16
| ~ spl0_20
| ~ spl0_34
| ~ spl0_146 ),
inference(sat_conversion,[],[f1473]) ).
cnf(s328,plain,
( ~ spl0_13
| ~ spl0_35
| ~ spl0_133
| ~ spl0_134 ),
inference(sat_conversion,[],[f1491]) ).
cnf(s342,plain,
( ~ spl0_35
| ~ spl0_144
| ~ spl0_145
| spl0_157 ),
inference(sat_conversion,[],[f1564]) ).
cnf(s347,plain,
( ~ spl0_35
| spl0_95
| ~ spl0_133
| ~ spl0_134 ),
inference(sat_conversion,[],[f1574]) ).
cnf(s349,plain,
( ~ spl0_4
| ~ spl0_144
| ~ spl0_145
| ~ spl0_146 ),
inference(sat_conversion,[],[f1580]) ).
cnf(s367,plain,
( spl0_2
| ~ spl0_7
| ~ spl0_23 ),
inference(sat_conversion,[],[f1626]) ).
cnf(s378,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_16
| spl0_73
| ~ spl0_114 ),
inference(sat_conversion,[],[f1661]) ).
cnf(s397,plain,
( ~ spl0_9
| spl0_64
| ~ spl0_107
| ~ spl0_108 ),
inference(sat_conversion,[],[f1712]) ).
cnf(s403,plain,
( ~ spl0_7
| ~ spl0_27
| ~ spl0_148
| ~ spl0_149 ),
inference(sat_conversion,[],[f1729]) ).
cnf(s410,plain,
( ~ spl0_7
| ~ spl0_32
| ~ spl0_107
| ~ spl0_108 ),
inference(sat_conversion,[],[f1758]) ).
cnf(s413,plain,
( ~ spl0_7
| ~ spl0_32
| ~ spl0_139
| ~ spl0_140 ),
inference(sat_conversion,[],[f1763]) ).
cnf(s424,plain,
( ~ spl0_7
| ~ spl0_113
| ~ spl0_114
| ~ spl0_151 ),
inference(sat_conversion,[],[f1786]) ).
cnf(s435,plain,
( ~ spl0_16
| spl0_68
| ~ spl0_109
| ~ spl0_110 ),
inference(sat_conversion,[],[f1858]) ).
cnf(s445,plain,
( ~ spl0_1
| spl0_71
| spl0_72
| ~ spl0_112 ),
inference(sat_conversion,[],[f1892]) ).
cnf(s446,plain,
( ~ spl0_1
| spl0_73
| ~ spl0_113
| spl0_151 ),
inference(sat_conversion,[],[f1894]) ).
cnf(s460,plain,
( ~ spl0_12
| spl0_93
| spl0_94
| ~ spl0_155 ),
inference(sat_conversion,[],[f1963]) ).
cnf(s467,plain,
( ~ spl0_5
| spl0_86
| spl0_87
| ~ spl0_124 ),
inference(sat_conversion,[],[f1992]) ).
cnf(s472,plain,
( ~ spl0_14
| spl0_104
| spl0_105
| ~ spl0_137 ),
inference(sat_conversion,[],[f2005]) ).
cnf(s494,plain,
( ~ spl0_16
| spl0_93
| ~ spl0_132
| ~ spl0_155 ),
inference(sat_conversion,[],[f2073]) ).
cnf(s495,plain,
( ~ spl0_16
| ~ spl0_20
| spl0_93
| ~ spl0_132 ),
inference(sat_conversion,[],[f2074]) ).
cnf(s496,plain,
( ~ spl0_16
| ~ spl0_20
| spl0_73
| ~ spl0_114 ),
inference(sat_conversion,[],[f2075]) ).
cnf(s504,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_145
| ~ spl0_146 ),
inference(sat_conversion,[],[f2092]) ).
cnf(s513,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_27
| ~ spl0_148
| ~ spl0_149 ),
inference(sat_conversion,[],[f2133]) ).
cnf(s515,plain,
( ~ spl0_6
| spl0_83
| ~ spl0_118
| ~ spl0_119 ),
inference(sat_conversion,[],[f2138]) ).
cnf(s521,plain,
( ~ spl0_15
| spl0_88
| ~ spl0_125
| spl0_150 ),
inference(sat_conversion,[],[f2149]) ).
cnf(s522,plain,
( ~ spl0_12
| spl0_88
| ~ spl0_126
| spl0_150 ),
inference(sat_conversion,[],[f2151]) ).
cnf(s523,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f2152]) ).
cnf(s528,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_86
| spl0_87
| ~ spl0_124 ),
inference(sat_conversion,[],[f2161]) ).
cnf(s531,plain,
( ~ spl0_15
| spl0_93
| spl0_94
| ~ spl0_132 ),
inference(sat_conversion,[],[f2163]) ).
cnf(s532,plain,
spl0_3,
inference(rat,[],[s158,s183,s185,s187]) ).
cnf(s533,plain,
( spl0_10
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s504,s141,s142,s37,s513,s144,s145,s4,s58,s532]) ).
cnf(s535,plain,
( ~ spl0_24
| ~ spl0_9 ),
inference(rat,[],[s397,s61,s103,s104]) ).
cnf(s536,plain,
( ~ spl0_57
| ~ spl0_35
| ~ spl0_13 ),
inference(rat,[],[s328,s129,s130]) ).
cnf(s537,plain,
( ~ spl0_29
| ~ spl0_16
| ~ spl0_20 ),
inference(rat,[],[s495,s90,s128]) ).
cnf(s538,plain,
( ~ spl0_52
| ~ spl0_17 ),
inference(rat,[],[s294,s62,s63,s64]) ).
cnf(s540,plain,
( ~ spl0_25
| ~ spl0_16 ),
inference(rat,[],[s435,s65,s105,s106]) ).
cnf(s543,plain,
( ~ spl0_51
| ~ spl0_14
| ~ spl0_10 ),
inference(rat,[],[s195,s71,s72,s73]) ).
cnf(s544,plain,
( ~ spl0_103
| ~ spl0_14 ),
inference(rat,[],[s472,s100,s101,s133]) ).
cnf(s545,plain,
( ~ spl0_48
| ~ spl0_7 ),
inference(rat,[],[s226,s137,s138,s139]) ).
cnf(s546,plain,
( spl0_8
| ~ spl0_7
| spl0_5
| ~ spl0_10
| spl0_2 ),
inference(rat,[],[s193,s71,s72,s41,s538,s12,s496,s258,s70,s110,s5,s17,s216,s413,s134,s135,s136,s157,s535,s3,s367,s545,s532]) ).
cnf(s547,plain,
( ~ spl0_52
| ~ spl0_8
| ~ spl0_10 ),
inference(rat,[],[s288,s62,s63,s64]) ).
cnf(s549,plain,
( ~ spl0_46
| ~ spl0_4 ),
inference(rat,[],[s349,s140,s141,s142]) ).
cnf(s550,plain,
( spl0_52
| spl0_46
| ~ spl0_10
| spl0_2 ),
inference(rat,[],[s494,s6,s260,s531,s90,s91,s128,s149,s543,s41,s532]) ).
cnf(s551,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s2,s546,s231,s547,s62,s64,s550,s549,s533,s1,s515,s80,s114,s115,s54,s532]) ).
cnf(s552,plain,
( ~ spl0_61
| ~ spl0_2 ),
inference(rat,[],[s225,s143,s144,s145]) ).
cnf(s553,plain,
( ~ spl0_29
| spl0_1 ),
inference(rat,[],[s494,s6,s260,s531,s90,s91,s128,s544,s158,s545,s2,s233,s58,s515,s80,s114,s115,s54,s552,s551,s532]) ).
cnf(s554,plain,
( ~ spl0_16
| spl0_1 ),
inference(rat,[],[s19,s325,s540,s30,s549,s342,s282,s142,s141,s140,s149,s553,s538,s11,s544,s158,s545,s2,s233,s58,s515,s80,s114,s115,s54,s552,s551,s532]) ).
cnf(s555,plain,
spl0_1,
inference(rat,[],[s6,s259,s554,s544,s158,s545,s2,s233,s58,s552,s551,s515,s80,s114,s115,s54,s532]) ).
cnf(s556,plain,
~ spl0_37,
inference(rat,[],[s445,s68,s69,s108,s555]) ).
cnf(s557,plain,
( spl0_2
| ~ spl0_4 ),
inference(rat,[],[s547,s550,s22,s533,s549,s532,s556]) ).
cnf(s561,plain,
( ~ spl0_26
| ~ spl0_21
| ~ spl0_10 ),
inference(rat,[],[s208,s78,s79,s555]) ).
cnf(s563,plain,
( ~ spl0_47
| ~ spl0_6
| ~ spl0_12
| ~ spl0_10 ),
inference(rat,[],[s237,s66,s107]) ).
cnf(s564,plain,
( ~ spl0_60
| ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s522,s203,s85,s121,s122]) ).
cnf(s565,plain,
( ~ spl0_52
| spl0_60
| spl0_7
| ~ spl0_10 ),
inference(rat,[],[s563,s51,s2,s277,s231,s62,s63,s64,s24,s532]) ).
cnf(s566,plain,
( spl0_7
| ~ spl0_4 ),
inference(rat,[],[s460,s260,s90,s91,s149,s565,s564,s24,s549,s58,s552,s557,s532]) ).
cnf(s567,plain,
( ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s378,s70,s110,s156,s564,s258,s58,s552,s557,s566,s555,s556,s532]) ).
cnf(s568,plain,
( spl0_16
| ~ spl0_4 ),
inference(rat,[],[s6,s259,s544,s158,s545,s566,s552,s557,s532]) ).
cnf(s569,plain,
( ~ spl0_60
| ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s521,s203,s85,s121,s122]) ).
cnf(s570,plain,
( ~ spl0_31
| ~ spl0_4 ),
inference(rat,[],[s378,s70,s110,s58,s552,s557,s568,s555,s532]) ).
cnf(s571,plain,
~ spl0_4,
inference(rat,[],[s536,s31,s5,s46,s547,s569,s149,s156,s537,s8,s570,s540,s568,s561,s32,s567,s544,s158,s545,s566,s58,s552,s557,s549,s532,s556]) ).
cnf(s572,plain,
spl0_20,
inference(rat,[],[s30,s532,s571]) ).
cnf(s573,plain,
( ~ spl0_29
| ~ spl0_12
| ~ spl0_10 ),
inference(rat,[],[s460,s260,s90,s91]) ).
cnf(s574,plain,
( ~ spl0_40
| spl0_60
| spl0_7
| ~ spl0_10 ),
inference(rat,[],[s51,s243,s563,s2,s467,s83,s84,s120,s24,s532]) ).
cnf(s575,plain,
( spl0_7
| ~ spl0_2 ),
inference(rat,[],[s544,s28,s153,s574,s573,s254,s70,s156,s564,s24,s58,s552,s532,s555,s556]) ).
cnf(s577,plain,
( ~ spl0_60
| ~ spl0_2 ),
inference(rat,[],[s347,s92,s129,s130,s19,s46,s323,s540,s537,s6,s569,s121,s544,s158,s545,s575,s552,s532,s572]) ).
cnf(s578,plain,
~ spl0_2,
inference(rat,[],[s446,s424,s70,s109,s110,s156,s577,s575,s555,s556]) ).
cnf(s579,plain,
spl0_8,
inference(rat,[],[s22,s556,s532,s578]) ).
cnf(s580,plain,
~ spl0_10,
inference(rat,[],[s6,s259,s540,s13,s367,s24,s193,s543,s71,s72,s41,s547,s532,s571,s578,s579]) ).
cnf(s581,plain,
spl0_61,
inference(rat,[],[s58,s532,s580]) ).
cnf(s582,plain,
spl0_11,
inference(rat,[],[s4,s532,s578,s580]) ).
cnf(s583,plain,
spl0_149,
inference(rat,[],[s145,s581]) ).
cnf(s584,plain,
spl0_148,
inference(rat,[],[s144,s581]) ).
cnf(s585,plain,
spl0_147,
inference(rat,[],[s143,s581]) ).
cnf(s586,plain,
( ~ spl0_40
| spl0_7 ),
inference(rat,[],[s2,s528,s467,s83,s84,s120,s532,s579]) ).
cnf(s587,plain,
spl0_7,
inference(rat,[],[s544,s28,s153,s586,s535,s10,s318,s13,s540,s537,s523,s24,s532,s571,s585,s583,s572,s582]) ).
cnf(s588,plain,
~ spl0_23,
inference(rat,[],[s367,s578,s587]) ).
cnf(s590,plain,
~ spl0_27,
inference(rat,[],[s403,s584,s583,s587]) ).
cnf(s593,plain,
spl0_46,
inference(rat,[],[s37,s580,s532,s590]) ).
cnf(s598,plain,
spl0_146,
inference(rat,[],[s142,s593]) ).
cnf(s599,plain,
spl0_145,
inference(rat,[],[s141,s593]) ).
cnf(s604,plain,
~ spl0_18,
inference(rat,[],[s268,s598,s587,s599]) ).
cnf(s608,plain,
spl0_24,
inference(rat,[],[s20,s532,s590,s604]) ).
cnf(s610,plain,
spl0_108,
inference(rat,[],[s104,s608]) ).
cnf(s611,plain,
spl0_107,
inference(rat,[],[s103,s608]) ).
cnf(s615,plain,
~ spl0_32,
inference(rat,[],[s410,s610,s587,s611]) ).
cnf(s616,plain,
spl0_31,
inference(rat,[],[s17,s588,s532,s615]) ).
cnf(s617,plain,
spl0_114,
inference(rat,[],[s110,s616]) ).
cnf(s618,plain,
spl0_113,
inference(rat,[],[s109,s616]) ).
cnf(s619,plain,
~ spl0_73,
inference(rat,[],[s70,s616]) ).
cnf(s620,plain,
~ spl0_151,
inference(rat,[],[s424,s617,s587,s618]) ).
cnf(s621,plain,
$false,
inference(rat,[],[s446,s555,s618,s620,s619]) ).
fof(f2164,plain,
$false,
inference(avatar_sat_refutation,[],[s621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN477-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n019.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:14:51 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.99 % (4127811)Input is clausal, will run a generic CNF schedule.
% 0.67/0.99 % (4127820)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2675667056:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.67/0.99 % (4127820)First to succeed.
% 0.67/0.99 % (4127820)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4127811"
% 0.67/0.99 % (4127817)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=959890544:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.67/0.99 % (4127816)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3208607681:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.67/0.99 % (4127819)lrs+10_1_sil=8000:sp=occurrence:random_seed=3628502560:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.67/0.99 % (4127818)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1131203914:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.67/0.99 % (4127821)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3645472163:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.67/0.99 % (4127822)dis-21_1_sil=8000:lcm=predicate:random_seed=2436634031:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.67/0.99 % (4127822)Also succeeded, but the first one will report.
% 0.67/0.99 % (4127821)Also succeeded, but the first one will report.
% 0.67/0.99 % (4127819)Also succeeded, but the first one will report.
% 0.67/0.99 % (4127820)Refutation found. Thanks to Tanya!
% 0.67/0.99 % SZS status Unsatisfiable for theBenchmark
% 0.67/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 2.82/1.18 % (4127820)------------------------------
% 2.82/1.18 % (4127820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.18 % (4127820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.18 % (4127820)CaDiCaL version: 2.1.3
% 2.82/1.18 % (4127820)Termination reason: Refutation
% 2.82/1.18 % (4127820)Time elapsed: 0.017 s
% 2.82/1.18 % (4127820)Peak memory usage: 90 MB
% 2.82/1.18 % (4127820)Instructions burned: 44 (million)
% 2.82/1.18 % (4127820)------------------------------
% 2.82/1.18 % (4127820)------------------------------
% 2.82/1.18 % (4127811)Success in time 0.309 s
% 2.82/1.18 % Vampire exiting
%------------------------------------------------------------------------------