%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN443-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:51:28 PM UTC 2026
% Result : Unsatisfiable 0.60s 0.95s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 172
% Syntax : Number of formulae : 668 ( 13 unt; 94 def)
% Number of atoms : 2138 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2775 (1305 ~;1376 |; 0 &)
% ( 94 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 118 ( 117 usr; 114 prp; 0-1 aty)
% Number of functors : 18 ( 18 usr; 18 con; 0-0 aty)
% Number of variables : 105 ( 0 sgn 105 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( hskp11
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f14,negated_conjecture,
( ~ hskp18
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f30,negated_conjecture,
( ~ hskp2
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f33,negated_conjecture,
( hskp28
| hskp1
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
( hskp28
| hskp7
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f37,negated_conjecture,
( hskp30
| hskp2
| hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f38,negated_conjecture,
( hskp30
| hskp27
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f40,negated_conjecture,
( hskp2
| hskp24
| hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f42,negated_conjecture,
( ~ hskp30
| c0_1(a33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( ~ hskp30
| c2_1(a33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( ~ hskp30
| c3_1(a33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( ~ hskp29
| c0_1(a25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( ~ hskp29
| c1_1(a25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( ~ hskp29
| c2_1(a25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( ~ hskp28
| c0_1(a15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( ~ hskp28
| c1_1(a15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( ~ hskp28
| c3_1(a15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( ~ hskp27
| c1_1(a10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( ~ hskp27
| c2_1(a10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( ~ hskp27
| c3_1(a10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f57,negated_conjecture,
( ~ hskp24
| c0_1(a58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( ~ hskp24
| c3_1(a58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( ~ hskp23
| c0_1(a52) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( ~ hskp22
| c2_1(a43) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f65,negated_conjecture,
( ~ hskp18
| c3_1(a34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f67,negated_conjecture,
( ~ hskp16
| c2_1(a31) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f71,negated_conjecture,
( ~ hskp11
| c0_1(a19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f73,negated_conjecture,
( ~ hskp9
| c1_1(a12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f76,negated_conjecture,
( ~ hskp7
| c1_1(a9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f78,negated_conjecture,
( ~ hskp5
| c0_1(a6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( ~ hskp5
| c2_1(a6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp4
| c2_1(a5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f83,negated_conjecture,
( ~ hskp2
| c0_1(a3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( ~ hskp2
| c2_1(a3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( ~ hskp1
| c0_1(a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( ~ hskp1
| c3_1(a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( ~ hskp0
| c1_1(a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( ~ hskp0
| c2_1(a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f92,negated_conjecture,
( ~ c1_1(a58)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ c1_1(a52)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ c2_1(a52)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f95,negated_conjecture,
( ~ c1_1(a43)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f96,negated_conjecture,
( ~ c3_1(a43)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f102,negated_conjecture,
( ~ c1_1(a34)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ c2_1(a34)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f107,negated_conjecture,
( ~ c1_1(a31)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f112,negated_conjecture,
( ~ c0_1(a22)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ c2_1(a22)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f117,negated_conjecture,
( ~ c3_1(a19)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f121,negated_conjecture,
( ~ c2_1(a12)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ c3_1(a12)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f124,negated_conjecture,
( ~ c0_1(a9)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ c2_1(a9)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f128,negated_conjecture,
( ~ c3_1(a6)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ c1_1(a5)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f132,negated_conjecture,
( ~ c1_1(a3)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f133,negated_conjecture,
( ~ c2_1(a2)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
( ~ c0_1(a1)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f138,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| hskp5
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f142,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| hskp28
| hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f147,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| hskp1
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f149,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp2
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f151,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp9
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f158,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f160,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f167,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c1_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f173,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f180,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X2)
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| c2_1(X0)
| c1_1(X1)
| c3_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f182,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f183,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X2)
| c2_1(X1)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f184,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)
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f186,definition,
( spl0_1
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f187,plain,
( ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f189,definition,
( spl0_2
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f190,plain,
( ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f192,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f195,definition,
( spl0_4
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f196,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f197,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f184,f195,f192,f189,f186]) ).
fof(f199,definition,
( spl0_5
<=> ! [X2] :
( ~ c0_1(X2)
| c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f200,plain,
( ! [X2] :
( c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f202,definition,
( spl0_6
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f203,plain,
( ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f204,plain,
( spl0_5
| spl0_6
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f183,f189,f192,f202,f199]) ).
fof(f206,definition,
( spl0_7
<=> ! [X2] :
( ~ c2_1(X2)
| c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f207,plain,
( ! [X2] :
( ~ c3_1(X2)
| c0_1(X2)
| ~ c2_1(X2) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f209,definition,
( spl0_8
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f210,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f211,plain,
( spl0_7
| spl0_5
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f182,f209,f192,f199,f206]) ).
fof(f213,definition,
( spl0_9
<=> ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f214,plain,
( ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,definition,
( spl0_10
<=> ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f217,plain,
( ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f219,definition,
( spl0_11
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f220,plain,
( ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f221,plain,
( spl0_9
| spl0_10
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f181,f219,f192,f216,f213]) ).
fof(f223,definition,
( spl0_12
<=> ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f224,plain,
( ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f226,definition,
( spl0_13
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f227,plain,
( ! [X0] :
( c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( spl0_12
| spl0_9
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f180,f226,f192,f213,f223]) ).
fof(f230,definition,
( spl0_14
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f231,plain,
( ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c1_1(X2) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f233,definition,
( spl0_15
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f234,plain,
( ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f236,definition,
( spl0_16
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f237,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| c2_1(X0) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f240,definition,
( spl0_17
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f241,plain,
( ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| c0_1(X1) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f247,definition,
( spl0_19
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f248,plain,
( ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl0_20
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f254,definition,
( spl0_21
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f255,plain,
( ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f257,definition,
( spl0_22
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f258,plain,
( ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f259,plain,
( spl0_20
| spl0_21
| ~ spl0_3
| spl0_22 ),
inference(avatar_split_clause,[],[f176,f257,f192,f254,f251]) ).
fof(f261,definition,
( spl0_23
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f264,definition,
( spl0_24
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f265,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_25
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f269,plain,
( ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f270,plain,
( spl0_23
| spl0_25
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f174,f195,f192,f268,f261]) ).
fof(f272,definition,
( spl0_26
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f274,plain,
( spl0_26
| spl0_7
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f173,f199,f192,f206,f272]) ).
fof(f283,definition,
( spl0_29
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f290,definition,
( spl0_31
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f292,plain,
( spl0_31
| spl0_5
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f170,f236,f192,f199,f290]) ).
fof(f293,plain,
( spl0_26
| spl0_25
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f169,f209,f192,f268,f272]) ).
fof(f295,definition,
( spl0_32
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f297,plain,
( spl0_32
| spl0_25
| ~ spl0_3
| spl0_22 ),
inference(avatar_split_clause,[],[f168,f257,f192,f268,f295]) ).
fof(f299,definition,
( spl0_33
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f301,plain,
( spl0_33
| spl0_25
| ~ spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f167,f247,f192,f268,f299]) ).
fof(f315,definition,
( spl0_37
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f327,definition,
( spl0_40
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f329,plain,
( spl0_40
| spl0_14
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f160,f199,f192,f230,f327]) ).
fof(f338,definition,
( spl0_43
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f340,plain,
( spl0_43
| spl0_14
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f158,f236,f192,f230,f338]) ).
fof(f349,definition,
( spl0_46
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f359,definition,
( spl0_49
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f368,definition,
( spl0_51
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f371,plain,
( spl0_20
| spl0_37
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f151,f206,f192,f315,f251]) ).
fof(f373,definition,
( spl0_52
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f379,plain,
( spl0_52
| spl0_43
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f149,f236,f192,f338,f373]) ).
fof(f384,plain,
( spl0_31
| spl0_40
| ~ spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f147,f233,f192,f327,f290]) ).
fof(f395,definition,
( spl0_57
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f399,definition,
( spl0_58
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f401,plain,
( spl0_46
| spl0_58
| ~ spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f142,f223,f192,f399,f349]) ).
fof(f411,definition,
( spl0_61
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f414,plain,
( spl0_32
| spl0_26
| ~ spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f138,f240,f192,f272,f295]) ).
fof(f417,definition,
( spl0_62
<=> hskp30 ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f423,definition,
( spl0_63
<=> c0_1(a1) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f424,plain,
( ~ c0_1(a1)
| spl0_63 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f425,plain,
( ~ spl0_32
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f134,f423,f295]) ).
fof(f428,definition,
( spl0_64
<=> c2_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f429,plain,
( ~ c2_1(a2)
| spl0_64 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f430,plain,
( ~ spl0_40
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f133,f428,f327]) ).
fof(f433,definition,
( spl0_65
<=> c1_1(a3) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f434,plain,
( ~ c1_1(a3)
| spl0_65 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f435,plain,
( ~ spl0_43
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f132,f433,f338]) ).
fof(f447,definition,
( spl0_68
<=> c1_1(a5) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f448,plain,
( ~ c1_1(a5)
| spl0_68 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f449,plain,
( ~ spl0_52
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f129,f447,f373]) ).
fof(f452,definition,
( spl0_69
<=> c3_1(a6) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f453,plain,
( ~ c3_1(a6)
| spl0_69 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f454,plain,
( ~ spl0_26
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f128,f452,f272]) ).
fof(f466,definition,
( spl0_72
<=> c2_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f467,plain,
( ~ c2_1(a9)
| spl0_72 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f468,plain,
( ~ spl0_61
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f125,f466,f411]) ).
fof(f470,definition,
( spl0_73
<=> c0_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f471,plain,
( ~ c0_1(a9)
| spl0_73 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f472,plain,
( ~ spl0_61
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f124,f470,f411]) ).
fof(f480,definition,
( spl0_75
<=> c3_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f481,plain,
( ~ c3_1(a12)
| spl0_75 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f482,plain,
( ~ spl0_37
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f122,f480,f315]) ).
fof(f484,definition,
( spl0_76
<=> c2_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f485,plain,
( ~ c2_1(a12)
| spl0_76 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f486,plain,
( ~ spl0_37
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f121,f484,f315]) ).
fof(f502,definition,
( spl0_80
<=> c3_1(a19) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f503,plain,
( ~ c3_1(a19)
| spl0_80 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f504,plain,
( ~ spl0_57
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f117,f502,f395]) ).
fof(f520,definition,
( spl0_84
<=> c2_1(a22) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f521,plain,
( ~ c2_1(a22)
| spl0_84 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f522,plain,
( ~ spl0_31
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f113,f520,f290]) ).
fof(f524,definition,
( spl0_85
<=> c0_1(a22) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f525,plain,
( ~ c0_1(a22)
| spl0_85 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f526,plain,
( ~ spl0_31
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f112,f524,f290]) ).
fof(f547,definition,
( spl0_90
<=> c1_1(a31) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f548,plain,
( ~ c1_1(a31)
| spl0_90 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f549,plain,
( ~ spl0_20
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f107,f547,f251]) ).
fof(f565,definition,
( spl0_94
<=> c2_1(a34) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f566,plain,
( ~ c2_1(a34)
| spl0_94 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f567,plain,
( ~ spl0_49
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f103,f565,f359]) ).
fof(f569,definition,
( spl0_95
<=> c1_1(a34) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f570,plain,
( ~ c1_1(a34)
| spl0_95 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f571,plain,
( ~ spl0_49
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f102,f569,f359]) ).
fof(f597,definition,
( spl0_101
<=> c3_1(a43) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f598,plain,
( ~ c3_1(a43)
| spl0_101 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f599,plain,
( ~ spl0_33
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f96,f597,f299]) ).
fof(f601,definition,
( spl0_102
<=> c1_1(a43) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f602,plain,
( ~ c1_1(a43)
| spl0_102 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f603,plain,
( ~ spl0_33
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f95,f601,f299]) ).
fof(f606,definition,
( spl0_103
<=> c2_1(a52) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f607,plain,
( ~ c2_1(a52)
| spl0_103 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f608,plain,
( ~ spl0_51
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f94,f606,f368]) ).
fof(f610,definition,
( spl0_104
<=> c1_1(a52) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f611,plain,
( ~ c1_1(a52)
| spl0_104 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f612,plain,
( ~ spl0_51
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f93,f610,f368]) ).
fof(f615,definition,
( spl0_105
<=> c1_1(a58) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f616,plain,
( ~ c1_1(a58)
| spl0_105 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f617,plain,
( ~ spl0_29
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f92,f615,f283]) ).
fof(f635,definition,
( spl0_110
<=> c2_1(a1) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f637,plain,
( spl0_110
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f88,f295,f635]) ).
fof(f639,definition,
( spl0_111
<=> c1_1(a1) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f640,plain,
( c1_1(a1)
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f641,plain,
( spl0_111
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f87,f295,f639]) ).
fof(f643,definition,
( spl0_112
<=> c3_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f644,plain,
( c3_1(a2)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f645,plain,
( spl0_112
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f86,f327,f643]) ).
fof(f647,definition,
( spl0_113
<=> c0_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f648,plain,
( c0_1(a2)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f649,plain,
( spl0_113
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f85,f327,f647]) ).
fof(f651,definition,
( spl0_114
<=> c2_1(a3) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f652,plain,
( c2_1(a3)
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f653,plain,
( spl0_114
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f84,f338,f651]) ).
fof(f655,definition,
( spl0_115
<=> c0_1(a3) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f657,plain,
( spl0_115
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f83,f338,f655]) ).
fof(f667,definition,
( spl0_118
<=> c2_1(a5) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f668,plain,
( c2_1(a5)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f669,plain,
( spl0_118
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f80,f373,f667]) ).
fof(f671,definition,
( spl0_119
<=> c2_1(a6) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f672,plain,
( c2_1(a6)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f673,plain,
( spl0_119
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f79,f272,f671]) ).
fof(f675,definition,
( spl0_120
<=> c0_1(a6) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f676,plain,
( c0_1(a6)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f677,plain,
( spl0_120
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f78,f272,f675]) ).
fof(f683,definition,
( spl0_122
<=> c1_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f684,plain,
( c1_1(a9)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f685,plain,
( spl0_122
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f76,f411,f683]) ).
fof(f695,definition,
( spl0_125
<=> c1_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f696,plain,
( c1_1(a12)
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f697,plain,
( spl0_125
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f73,f315,f695]) ).
fof(f703,definition,
( spl0_127
<=> c0_1(a19) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f704,plain,
( c0_1(a19)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f705,plain,
( spl0_127
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f71,f395,f703]) ).
fof(f719,definition,
( spl0_131
<=> c2_1(a31) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f720,plain,
( c2_1(a31)
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f721,plain,
( spl0_131
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f67,f251,f719]) ).
fof(f727,definition,
( spl0_133
<=> c3_1(a34) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f728,plain,
( c3_1(a34)
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f729,plain,
( spl0_133
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f65,f359,f727]) ).
fof(f747,definition,
( spl0_138
<=> c2_1(a43) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f748,plain,
( c2_1(a43)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f749,plain,
( spl0_138
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f60,f299,f747]) ).
fof(f751,definition,
( spl0_139
<=> c0_1(a52) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f752,plain,
( c0_1(a52)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f753,plain,
( spl0_139
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f59,f368,f751]) ).
fof(f755,definition,
( spl0_140
<=> c3_1(a58) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f756,plain,
( c3_1(a58)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f757,plain,
( spl0_140
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f58,f283,f755]) ).
fof(f759,definition,
( spl0_141
<=> c0_1(a58) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f760,plain,
( c0_1(a58)
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f761,plain,
( spl0_141
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f57,f283,f759]) ).
fof(f775,definition,
( spl0_145
<=> c3_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f776,plain,
( c3_1(a10)
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f778,plain,
( spl0_145
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f53,f349,f775]) ).
fof(f780,definition,
( spl0_146
<=> c2_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f781,plain,
( c2_1(a10)
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f782,plain,
( spl0_146
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f52,f349,f780]) ).
fof(f784,definition,
( spl0_147
<=> c1_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f785,plain,
( c1_1(a10)
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f786,plain,
( spl0_147
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f51,f349,f784]) ).
fof(f788,definition,
( spl0_148
<=> c3_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f789,plain,
( c3_1(a15)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f791,plain,
( spl0_148
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f50,f399,f788]) ).
fof(f793,definition,
( spl0_149
<=> c1_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f794,plain,
( c1_1(a15)
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f795,plain,
( spl0_149
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f49,f399,f793]) ).
fof(f797,definition,
( spl0_150
<=> c0_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f798,plain,
( c0_1(a15)
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f799,plain,
( spl0_150
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f48,f399,f797]) ).
fof(f801,definition,
( spl0_151
<=> c2_1(a25) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f802,plain,
( c2_1(a25)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f804,plain,
( spl0_151
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f47,f261,f801]) ).
fof(f806,definition,
( spl0_152
<=> c1_1(a25) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f807,plain,
( c1_1(a25)
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f808,plain,
( spl0_152
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f46,f261,f806]) ).
fof(f810,definition,
( spl0_153
<=> c0_1(a25) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f811,plain,
( c0_1(a25)
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f812,plain,
( spl0_153
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f45,f261,f810]) ).
fof(f814,definition,
( spl0_154
<=> c3_1(a33) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f815,plain,
( c3_1(a33)
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f817,plain,
( spl0_154
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f44,f417,f814]) ).
fof(f819,definition,
( spl0_155
<=> c2_1(a33) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f820,plain,
( c2_1(a33)
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f821,plain,
( spl0_155
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f43,f417,f819]) ).
fof(f823,definition,
( spl0_156
<=> c0_1(a33) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f825,plain,
( spl0_156
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f42,f417,f823]) ).
fof(f828,plain,
( spl0_51
| spl0_29
| spl0_43 ),
inference(avatar_split_clause,[],[f40,f338,f283,f368]) ).
fof(f830,plain,
( spl0_61
| spl0_46
| spl0_62 ),
inference(avatar_split_clause,[],[f38,f417,f349,f411]) ).
fof(f831,plain,
( spl0_49
| spl0_43
| spl0_62 ),
inference(avatar_split_clause,[],[f37,f417,f338,f359]) ).
fof(f834,plain,
( spl0_37
| spl0_61
| spl0_58 ),
inference(avatar_split_clause,[],[f34,f399,f411,f315]) ).
fof(f835,plain,
( spl0_37
| spl0_40
| spl0_58 ),
inference(avatar_split_clause,[],[f33,f399,f327,f315]) ).
fof(f839,plain,
( spl0_3
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f30,f338,f192]) ).
fof(f855,plain,
( spl0_3
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f14,f359,f192]) ).
fof(f867,plain,
( spl0_3
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f2,f417,f192]) ).
fof(f868,plain,
( spl0_33
| spl0_57 ),
inference(avatar_split_clause,[],[f1,f395,f299]) ).
fof(f890,plain,
( c2_1(a2)
| ~ c0_1(a2)
| ~ spl0_11
| ~ spl0_112 ),
inference(resolution,[],[f220,f644]) ).
fof(f894,plain,
( ~ c0_1(a2)
| ~ spl0_11
| spl0_64
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f890,f429]) ).
fof(f895,plain,
( $false
| ~ spl0_11
| spl0_64
| ~ spl0_112
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f894,f648]) ).
fof(f896,plain,
( ~ spl0_11
| spl0_64
| ~ spl0_112
| ~ spl0_113 ),
inference(avatar_contradiction_clause,[],[f895]) ).
fof(f919,plain,
( ~ c0_1(a6)
| ~ c2_1(a6)
| ~ spl0_8
| spl0_69 ),
inference(resolution,[],[f453,f210]) ).
fof(f942,plain,
( c2_1(a12)
| c0_1(a12)
| ~ spl0_12
| ~ spl0_125 ),
inference(resolution,[],[f224,f696]) ).
fof(f943,plain,
( c2_1(a9)
| c0_1(a9)
| ~ spl0_12
| ~ spl0_122 ),
inference(resolution,[],[f224,f684]) ).
fof(f945,plain,
( c0_1(a9)
| ~ spl0_12
| spl0_72
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f943,f467]) ).
fof(f946,plain,
( c0_1(a12)
| ~ spl0_12
| spl0_76
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f942,f485]) ).
fof(f947,plain,
( $false
| ~ spl0_12
| spl0_72
| spl0_73
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f945,f471]) ).
fof(f948,plain,
( ~ spl0_12
| spl0_72
| spl0_73
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f947]) ).
fof(f968,plain,
( ! [X2] :
( c2_1(X2)
| c0_1(X2) )
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f231,f224]) ).
fof(f987,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f200,f196]) ).
fof(f988,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f200,f190]) ).
fof(f990,plain,
( ~ c0_1(a3)
| ~ c2_1(a3)
| ~ spl0_5
| spl0_65 ),
inference(resolution,[],[f200,f434]) ).
fof(f993,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_2
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f988]) ).
fof(f994,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_4
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f987]) ).
fof(f1007,plain,
( ~ c0_1(a3)
| ~ spl0_5
| spl0_65
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f990,f652]) ).
fof(f1008,plain,
( ~ spl0_115
| ~ spl0_5
| spl0_65
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1007,f651,f433,f199,f655]) ).
fof(f1009,plain,
( ~ c0_1(a58)
| ~ c2_1(a58)
| ~ spl0_5
| spl0_105 ),
inference(resolution,[],[f616,f200]) ).
fof(f1014,definition,
( spl0_161
<=> c2_1(a58) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f1015,plain,
( ~ c2_1(a58)
| spl0_161 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1016,plain,
( ~ spl0_161
| ~ spl0_141
| ~ spl0_5
| spl0_105 ),
inference(avatar_split_clause,[],[f1009,f615,f199,f759,f1014]) ).
fof(f1017,plain,
( c2_1(a58)
| ~ c0_1(a58)
| ~ spl0_11
| ~ spl0_140 ),
inference(resolution,[],[f756,f220]) ).
fof(f1022,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_7
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f265,f207]) ).
fof(f1063,plain,
( ! [X1] :
( c1_1(X1)
| ~ c0_1(X1) )
| ~ spl0_5
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f234,f200]) ).
fof(f1067,plain,
( ~ c0_1(a58)
| ~ spl0_5
| ~ spl0_15
| spl0_105 ),
inference(resolution,[],[f1063,f616]) ).
fof(f1068,plain,
( ~ c0_1(a52)
| ~ spl0_5
| ~ spl0_15
| spl0_104 ),
inference(resolution,[],[f1063,f611]) ).
fof(f1075,plain,
( $false
| ~ spl0_5
| ~ spl0_15
| spl0_104
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f1068,f752]) ).
fof(f1076,plain,
( ~ spl0_5
| ~ spl0_15
| spl0_104
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f1075]) ).
fof(f1077,plain,
( $false
| ~ spl0_5
| ~ spl0_15
| spl0_105
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[],[f1067,f760]) ).
fof(f1078,plain,
( ~ spl0_5
| ~ spl0_15
| spl0_105
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f1077]) ).
fof(f1080,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f237,f220]) ).
fof(f1081,plain,
( ~ c0_1(a58)
| ~ spl0_11
| ~ spl0_16
| spl0_161 ),
inference(resolution,[],[f1080,f1015]) ).
fof(f1082,plain,
( ~ c0_1(a52)
| ~ spl0_11
| ~ spl0_16
| spl0_103 ),
inference(resolution,[],[f1080,f607]) ).
fof(f1085,plain,
( ~ c0_1(a12)
| ~ spl0_11
| ~ spl0_16
| spl0_76 ),
inference(resolution,[],[f1080,f485]) ).
fof(f1092,plain,
( $false
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| spl0_76
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f1085,f946]) ).
fof(f1093,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| spl0_76
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f1092]) ).
fof(f1096,plain,
( $false
| ~ spl0_11
| ~ spl0_16
| spl0_103
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f1082,f752]) ).
fof(f1097,plain,
( ~ spl0_11
| ~ spl0_16
| spl0_103
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f1096]) ).
fof(f1098,plain,
( $false
| ~ spl0_11
| ~ spl0_16
| ~ spl0_141
| spl0_161 ),
inference(forward_subsumption_resolution,[],[f1081,f760]) ).
fof(f1099,plain,
( ~ spl0_11
| ~ spl0_16
| ~ spl0_141
| spl0_161 ),
inference(avatar_contradiction_clause,[],[f1098]) ).
fof(f1115,plain,
( c0_1(a22)
| ~ spl0_12
| ~ spl0_14
| spl0_84 ),
inference(resolution,[],[f968,f521]) ).
fof(f1116,plain,
( $false
| ~ spl0_12
| ~ spl0_14
| spl0_84
| spl0_85 ),
inference(forward_subsumption_resolution,[],[f1115,f525]) ).
fof(f1117,plain,
( ~ spl0_12
| ~ spl0_14
| spl0_84
| spl0_85 ),
inference(avatar_contradiction_clause,[],[f1116]) ).
fof(f1121,plain,
( spl0_24
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f993,f199,f189,f264]) ).
fof(f1122,plain,
( spl0_24
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f994,f199,f195,f264]) ).
fof(f1151,plain,
( ! [X1] :
( c1_1(X1)
| ~ c2_1(X1) )
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f241,f200]) ).
fof(f1158,plain,
( ~ c2_1(a5)
| ~ spl0_5
| ~ spl0_17
| spl0_68 ),
inference(resolution,[],[f1151,f448]) ).
fof(f1168,plain,
( $false
| ~ spl0_5
| ~ spl0_17
| spl0_68
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f1158,f668]) ).
fof(f1169,plain,
( ~ spl0_5
| ~ spl0_17
| spl0_68
| ~ spl0_118 ),
inference(avatar_contradiction_clause,[],[f1168]) ).
fof(f1171,plain,
( ! [X1] :
( c1_1(X1)
| ~ c2_1(X1) )
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f248,f217]) ).
fof(f1178,plain,
( ~ c2_1(a5)
| ~ spl0_10
| ~ spl0_19
| spl0_68 ),
inference(resolution,[],[f1171,f448]) ).
fof(f1180,plain,
( ~ c2_1(a3)
| ~ spl0_10
| ~ spl0_19
| spl0_65 ),
inference(resolution,[],[f1171,f434]) ).
fof(f1185,plain,
( $false
| ~ spl0_10
| ~ spl0_19
| spl0_65
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f1180,f652]) ).
fof(f1186,plain,
( ~ spl0_10
| ~ spl0_19
| spl0_65
| ~ spl0_114 ),
inference(avatar_contradiction_clause,[],[f1185]) ).
fof(f1188,plain,
( $false
| ~ spl0_10
| ~ spl0_19
| spl0_68
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f1178,f668]) ).
fof(f1189,plain,
( ~ spl0_10
| ~ spl0_19
| spl0_68
| ~ spl0_118 ),
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1191,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f258,f190]) ).
fof(f1194,plain,
( ~ c0_1(a25)
| ~ spl0_2
| ~ spl0_22
| ~ spl0_152 ),
inference(resolution,[],[f1191,f807]) ).
fof(f1197,plain,
( ~ c0_1(a12)
| ~ spl0_2
| ~ spl0_22
| ~ spl0_125 ),
inference(resolution,[],[f1191,f696]) ).
fof(f1200,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| ~ spl0_22
| spl0_76
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f1197,f946]) ).
fof(f1201,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_22
| spl0_76
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f1200]) ).
fof(f1206,plain,
( $false
| ~ spl0_2
| ~ spl0_22
| ~ spl0_152
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f1194,f811]) ).
fof(f1207,plain,
( ~ spl0_2
| ~ spl0_22
| ~ spl0_152
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f1206]) ).
fof(f1210,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_5
| ~ spl0_22 ),
inference(resolution,[],[f258,f200]) ).
fof(f1216,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_5
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f1210]) ).
fof(f1222,plain,
( spl0_8
| ~ spl0_5
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1216,f257,f199,f209]) ).
fof(f1240,plain,
( ~ c0_1(a33)
| ~ c2_1(a33)
| ~ spl0_24
| ~ spl0_154 ),
inference(resolution,[],[f265,f815]) ).
fof(f1251,plain,
( ~ c0_1(a33)
| ~ spl0_24
| ~ spl0_154
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f1240,f820]) ).
fof(f1252,plain,
( ~ spl0_156
| ~ spl0_24
| ~ spl0_154
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f1251,f819,f814,f264,f823]) ).
fof(f1253,plain,
( ~ c0_1(a10)
| ~ c2_1(a10)
| ~ spl0_24
| ~ spl0_145 ),
inference(resolution,[],[f776,f265]) ).
fof(f1256,definition,
( spl0_166
<=> c0_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1258,plain,
( ~ spl0_146
| ~ spl0_166
| ~ spl0_24
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1253,f775,f264,f1256,f780]) ).
fof(f1260,plain,
( ~ c3_1(a10)
| ~ c2_1(a10)
| ~ spl0_4
| ~ spl0_147 ),
inference(resolution,[],[f785,f196]) ).
fof(f1264,plain,
( ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2) )
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f187,f200]) ).
fof(f1266,plain,
( ~ c0_1(a33)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_155 ),
inference(resolution,[],[f1264,f820]) ).
fof(f1267,plain,
( ~ c0_1(a25)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_151 ),
inference(resolution,[],[f1264,f802]) ).
fof(f1271,plain,
( ~ c0_1(a6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_119 ),
inference(resolution,[],[f1264,f672]) ).
fof(f1275,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_119
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[],[f1271,f676]) ).
fof(f1276,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_119
| ~ spl0_120 ),
inference(avatar_contradiction_clause,[],[f1275]) ).
fof(f1278,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_151
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f1267,f811]) ).
fof(f1279,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_151
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f1278]) ).
fof(f1280,plain,
( ~ spl0_156
| ~ spl0_1
| ~ spl0_5
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f1266,f819,f199,f186,f823]) ).
fof(f1284,plain,
( ~ c3_1(a10)
| ~ c0_1(a10)
| ~ spl0_2
| ~ spl0_147 ),
inference(resolution,[],[f190,f785]) ).
fof(f1290,plain,
( ~ c0_1(a10)
| ~ spl0_2
| ~ spl0_145
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f1284,f776]) ).
fof(f1291,plain,
( ~ spl0_166
| ~ spl0_2
| ~ spl0_145
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1290,f784,f775,f189,f1256]) ).
fof(f1293,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_2
| ~ spl0_25 ),
inference(resolution,[],[f269,f190]) ).
fof(f1297,plain,
( c2_1(a34)
| ~ c3_1(a34)
| ~ spl0_25
| spl0_95 ),
inference(resolution,[],[f269,f570]) ).
fof(f1305,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_2
| ~ spl0_25 ),
inference(duplicate_literal_removal,[],[f1293]) ).
fof(f1308,plain,
( ~ c3_1(a34)
| ~ spl0_25
| spl0_94
| spl0_95 ),
inference(forward_subsumption_resolution,[],[f1297,f566]) ).
fof(f1312,plain,
( $false
| ~ spl0_25
| spl0_94
| spl0_95
| ~ spl0_133 ),
inference(forward_subsumption_resolution,[],[f1308,f728]) ).
fof(f1313,plain,
( ~ spl0_25
| spl0_94
| spl0_95
| ~ spl0_133 ),
inference(avatar_contradiction_clause,[],[f1312]) ).
fof(f1314,plain,
( c3_1(a43)
| ~ c2_1(a43)
| ~ spl0_10
| spl0_102 ),
inference(resolution,[],[f602,f217]) ).
fof(f1321,plain,
( ~ c2_1(a43)
| ~ spl0_10
| spl0_101
| spl0_102 ),
inference(forward_subsumption_resolution,[],[f1314,f598]) ).
fof(f1322,plain,
( ~ spl0_138
| ~ spl0_10
| spl0_101
| spl0_102 ),
inference(avatar_split_clause,[],[f1321,f601,f597,f216,f747]) ).
fof(f1323,plain,
( ! [X0] :
( c3_1(X0)
| c2_1(X0) )
| ~ spl0_12
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f237,f968]) ).
fof(f1332,plain,
( ~ c2_1(a31)
| ~ spl0_10
| ~ spl0_19
| spl0_90 ),
inference(resolution,[],[f1171,f548]) ).
fof(f1334,plain,
( $false
| ~ spl0_10
| ~ spl0_19
| spl0_90
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f1332,f720]) ).
fof(f1335,plain,
( ~ spl0_10
| ~ spl0_19
| spl0_90
| ~ spl0_131 ),
inference(avatar_contradiction_clause,[],[f1334]) ).
fof(f1337,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1) )
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f255,f190]) ).
fof(f1344,plain,
( c2_1(a12)
| ~ spl0_12
| ~ spl0_14
| ~ spl0_16
| spl0_75 ),
inference(resolution,[],[f1323,f481]) ).
fof(f1352,plain,
( $false
| ~ spl0_12
| ~ spl0_14
| ~ spl0_16
| spl0_75
| spl0_76 ),
inference(forward_subsumption_resolution,[],[f1344,f485]) ).
fof(f1353,plain,
( ~ spl0_12
| ~ spl0_14
| ~ spl0_16
| spl0_75
| spl0_76 ),
inference(avatar_contradiction_clause,[],[f1352]) ).
fof(f1361,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_8
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f210,f265]) ).
fof(f1363,plain,
( ~ c0_1(a6)
| ~ spl0_8
| spl0_69
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f919,f672]) ).
fof(f1367,plain,
( ~ spl0_120
| ~ spl0_8
| spl0_69
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1363,f671,f452,f209,f675]) ).
fof(f1372,definition,
( spl0_168
<=> c2_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1376,plain,
( ~ c3_1(a15)
| ~ c0_1(a15)
| ~ spl0_2
| ~ spl0_149 ),
inference(resolution,[],[f794,f190]) ).
fof(f1380,plain,
( ~ c0_1(a15)
| ~ spl0_2
| ~ spl0_148
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[],[f1376,f789]) ).
fof(f1381,plain,
( ~ spl0_150
| ~ spl0_2
| ~ spl0_148
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1380,f793,f788,f189,f797]) ).
fof(f1383,plain,
( ~ c2_1(a10)
| ~ spl0_7
| ~ spl0_24
| ~ spl0_145 ),
inference(resolution,[],[f1022,f776]) ).
fof(f1395,plain,
( $false
| ~ spl0_7
| ~ spl0_24
| ~ spl0_145
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f1383,f781]) ).
fof(f1396,plain,
( ~ spl0_7
| ~ spl0_24
| ~ spl0_145
| ~ spl0_146 ),
inference(avatar_contradiction_clause,[],[f1395]) ).
fof(f1411,plain,
( ~ c0_1(a33)
| ~ spl0_8
| ~ spl0_24
| ~ spl0_155 ),
inference(resolution,[],[f1361,f820]) ).
fof(f1422,plain,
( ~ spl0_156
| ~ spl0_8
| ~ spl0_24
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f1411,f819,f264,f209,f823]) ).
fof(f1423,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_2
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f237,f1337]) ).
fof(f1429,plain,
( ~ c0_1(a12)
| ~ spl0_2
| ~ spl0_16
| ~ spl0_21
| spl0_76 ),
inference(resolution,[],[f1423,f485]) ).
fof(f1435,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| ~ spl0_16
| ~ spl0_21
| spl0_76
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f1429,f946]) ).
fof(f1436,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_16
| ~ spl0_21
| spl0_76
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f1435]) ).
fof(f1450,plain,
( c0_1(a10)
| ~ c2_1(a10)
| ~ spl0_9
| ~ spl0_147 ),
inference(resolution,[],[f214,f785]) ).
fof(f1454,plain,
( c0_1(a1)
| ~ c2_1(a1)
| ~ spl0_9
| ~ spl0_111 ),
inference(resolution,[],[f214,f640]) ).
fof(f1456,plain,
( ~ c2_1(a1)
| ~ spl0_9
| spl0_63
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f1454,f424]) ).
fof(f1476,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_11
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f220,f265]) ).
fof(f1485,plain,
( ! [X0] :
( c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_11
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f227,f1476]) ).
fof(f1487,plain,
( ~ c0_1(a52)
| ~ spl0_11
| ~ spl0_13
| ~ spl0_24
| spl0_104 ),
inference(resolution,[],[f1485,f611]) ).
fof(f1495,plain,
( $false
| ~ spl0_11
| ~ spl0_13
| ~ spl0_24
| spl0_104
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f1487,f752]) ).
fof(f1496,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_24
| spl0_104
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f1495]) ).
fof(f1511,plain,
( ~ c3_1(a10)
| ~ spl0_4
| ~ spl0_146
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f1260,f781]) ).
fof(f1522,plain,
( ~ spl0_110
| ~ spl0_9
| spl0_63
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1456,f639,f423,f213,f635]) ).
fof(f1533,plain,
( ~ spl0_146
| spl0_166
| ~ spl0_9
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1450,f784,f213,f1256,f780]) ).
fof(f1538,plain,
( ~ c2_1(a43)
| ~ spl0_5
| ~ spl0_17
| spl0_102 ),
inference(resolution,[],[f1151,f602]) ).
fof(f1544,plain,
( $false
| ~ spl0_5
| ~ spl0_17
| spl0_102
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f1538,f748]) ).
fof(f1545,plain,
( ~ spl0_5
| ~ spl0_17
| spl0_102
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f1544]) ).
fof(f1596,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_8
| ~ spl0_16
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f237,f1361]) ).
fof(f1602,plain,
( ~ c0_1(a19)
| ~ spl0_8
| ~ spl0_16
| ~ spl0_24
| spl0_80 ),
inference(resolution,[],[f1596,f503]) ).
fof(f1609,plain,
( $false
| ~ spl0_8
| ~ spl0_16
| ~ spl0_24
| spl0_80
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f1602,f704]) ).
fof(f1610,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_24
| spl0_80
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f1609]) ).
fof(f1618,plain,
( ~ c0_1(a12)
| c2_1(a12)
| ~ spl0_16
| spl0_75 ),
inference(resolution,[],[f237,f481]) ).
fof(f1630,plain,
( ! [X1] :
( c1_1(X1)
| ~ c0_1(X1) )
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f255,f227]) ).
fof(f1633,plain,
( ~ c0_1(a52)
| ~ spl0_13
| ~ spl0_21
| spl0_104 ),
inference(resolution,[],[f1630,f611]) ).
fof(f1637,plain,
( $false
| ~ spl0_13
| ~ spl0_21
| spl0_104
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f1633,f752]) ).
fof(f1638,plain,
( ~ spl0_13
| ~ spl0_21
| spl0_104
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f1637]) ).
fof(f1640,plain,
( ~ c0_1(a58)
| ~ spl0_13
| ~ spl0_21
| spl0_105 ),
inference(resolution,[],[f616,f1630]) ).
fof(f1645,plain,
( $false
| ~ spl0_13
| ~ spl0_21
| spl0_105
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[],[f1640,f760]) ).
fof(f1646,plain,
( ~ spl0_13
| ~ spl0_21
| spl0_105
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f1645]) ).
fof(f1718,plain,
( ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1) )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f203,f187]) ).
fof(f1719,plain,
( ~ c0_1(a15)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_149 ),
inference(resolution,[],[f1718,f794]) ).
fof(f1720,plain,
( ~ c0_1(a10)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_147 ),
inference(resolution,[],[f1718,f785]) ).
fof(f1731,plain,
( ~ spl0_166
| ~ spl0_1
| ~ spl0_6
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1720,f784,f202,f186,f1256]) ).
fof(f1732,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_149
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f1719,f798]) ).
fof(f1733,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_149
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[],[f1732]) ).
fof(f1737,plain,
( spl0_11
| ~ spl0_2
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f1305,f268,f189,f219]) ).
fof(f1740,plain,
( c2_1(a58)
| ~ spl0_11
| ~ spl0_140
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[],[f1017,f760]) ).
fof(f1746,plain,
( spl0_161
| ~ spl0_11
| ~ spl0_140
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f1740,f759,f755,f219,f1014]) ).
fof(f1757,plain,
( c0_1(a10)
| ~ c2_1(a10)
| ~ spl0_7
| ~ spl0_145 ),
inference(resolution,[],[f207,f776]) ).
fof(f1770,plain,
( c0_1(a10)
| ~ spl0_7
| ~ spl0_145
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f1757,f781]) ).
fof(f1771,plain,
( spl0_166
| ~ spl0_7
| ~ spl0_145
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1770,f780,f775,f206,f1256]) ).
fof(f1774,plain,
( ~ spl0_145
| ~ spl0_4
| ~ spl0_146
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1511,f784,f780,f195,f775]) ).
fof(f1795,plain,
( c2_1(a12)
| ~ c0_1(a12)
| ~ spl0_6
| ~ spl0_125 ),
inference(resolution,[],[f203,f696]) ).
fof(f1798,plain,
( ~ c0_1(a12)
| ~ spl0_6
| spl0_76
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f1795,f485]) ).
fof(f1801,plain,
( $false
| ~ spl0_6
| ~ spl0_12
| spl0_76
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f1798,f946]) ).
fof(f1802,plain,
( ~ spl0_6
| ~ spl0_12
| spl0_76
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f1801]) ).
fof(f1807,definition,
( spl0_173
<=> c0_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
fof(f1810,plain,
( spl0_173
| spl0_76
| ~ spl0_12
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f942,f695,f223,f484,f1807]) ).
fof(f1812,plain,
( spl0_76
| ~ spl0_173
| ~ spl0_16
| spl0_75 ),
inference(avatar_split_clause,[],[f1618,f480,f236,f1807,f484]) ).
fof(f1818,plain,
( c2_1(a15)
| ~ c0_1(a15)
| ~ spl0_6
| ~ spl0_149 ),
inference(resolution,[],[f794,f203]) ).
fof(f1819,plain,
( ~ c3_1(a15)
| ~ c2_1(a15)
| ~ spl0_4
| ~ spl0_149 ),
inference(resolution,[],[f794,f196]) ).
fof(f1823,plain,
( ~ c2_1(a15)
| ~ spl0_4
| ~ spl0_148
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[],[f1819,f789]) ).
fof(f1824,plain,
( c2_1(a15)
| ~ spl0_6
| ~ spl0_149
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f1818,f798]) ).
fof(f1825,plain,
( ~ spl0_168
| ~ spl0_4
| ~ spl0_148
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1823,f793,f788,f195,f1372]) ).
fof(f1826,plain,
( spl0_168
| ~ spl0_6
| ~ spl0_149
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1824,f797,f793,f202,f1372]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f197]) ).
cnf(s2,plain,
( spl0_2
| ~ spl0_3
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f204]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_5
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f211]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_9
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f221]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_9
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f228]) ).
cnf(s9,plain,
( ~ spl0_3
| spl0_20
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f259]) ).
cnf(s11,plain,
( ~ spl0_3
| spl0_4
| spl0_23
| spl0_25 ),
inference(sat_conversion,[],[f270]) ).
cnf(s12,plain,
( ~ spl0_3
| spl0_5
| spl0_7
| spl0_26 ),
inference(sat_conversion,[],[f274]) ).
cnf(s15,plain,
( ~ spl0_3
| spl0_5
| spl0_16
| spl0_31 ),
inference(sat_conversion,[],[f292]) ).
cnf(s16,plain,
( ~ spl0_3
| spl0_8
| spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f293]) ).
cnf(s17,plain,
( ~ spl0_3
| spl0_22
| spl0_25
| spl0_32 ),
inference(sat_conversion,[],[f297]) ).
cnf(s18,plain,
( ~ spl0_3
| spl0_19
| spl0_25
| spl0_33 ),
inference(sat_conversion,[],[f301]) ).
cnf(s25,plain,
( ~ spl0_3
| spl0_5
| spl0_14
| spl0_40 ),
inference(sat_conversion,[],[f329]) ).
cnf(s27,plain,
( ~ spl0_3
| spl0_14
| spl0_16
| spl0_43 ),
inference(sat_conversion,[],[f340]) ).
cnf(s34,plain,
( ~ spl0_3
| spl0_7
| spl0_20
| spl0_37 ),
inference(sat_conversion,[],[f371]) ).
cnf(s36,plain,
( ~ spl0_3
| spl0_16
| spl0_43
| spl0_52 ),
inference(sat_conversion,[],[f379]) ).
cnf(s38,plain,
( ~ spl0_3
| spl0_15
| spl0_31
| spl0_40 ),
inference(sat_conversion,[],[f384]) ).
cnf(s43,plain,
( ~ spl0_3
| spl0_12
| spl0_46
| spl0_58 ),
inference(sat_conversion,[],[f401]) ).
cnf(s47,plain,
( ~ spl0_3
| spl0_17
| spl0_26
| spl0_32 ),
inference(sat_conversion,[],[f414]) ).
cnf(s51,plain,
( ~ spl0_32
| ~ spl0_63 ),
inference(sat_conversion,[],[f425]) ).
cnf(s52,plain,
( ~ spl0_40
| ~ spl0_64 ),
inference(sat_conversion,[],[f430]) ).
cnf(s53,plain,
( ~ spl0_43
| ~ spl0_65 ),
inference(sat_conversion,[],[f435]) ).
cnf(s56,plain,
( ~ spl0_52
| ~ spl0_68 ),
inference(sat_conversion,[],[f449]) ).
cnf(s57,plain,
( ~ spl0_26
| ~ spl0_69 ),
inference(sat_conversion,[],[f454]) ).
cnf(s60,plain,
( ~ spl0_61
| ~ spl0_72 ),
inference(sat_conversion,[],[f468]) ).
cnf(s61,plain,
( ~ spl0_61
| ~ spl0_73 ),
inference(sat_conversion,[],[f472]) ).
cnf(s63,plain,
( ~ spl0_37
| ~ spl0_75 ),
inference(sat_conversion,[],[f482]) ).
cnf(s64,plain,
( ~ spl0_37
| ~ spl0_76 ),
inference(sat_conversion,[],[f486]) ).
cnf(s68,plain,
( ~ spl0_57
| ~ spl0_80 ),
inference(sat_conversion,[],[f504]) ).
cnf(s72,plain,
( ~ spl0_31
| ~ spl0_84 ),
inference(sat_conversion,[],[f522]) ).
cnf(s73,plain,
( ~ spl0_31
| ~ spl0_85 ),
inference(sat_conversion,[],[f526]) ).
cnf(s78,plain,
( ~ spl0_20
| ~ spl0_90 ),
inference(sat_conversion,[],[f549]) ).
cnf(s82,plain,
( ~ spl0_49
| ~ spl0_94 ),
inference(sat_conversion,[],[f567]) ).
cnf(s83,plain,
( ~ spl0_49
| ~ spl0_95 ),
inference(sat_conversion,[],[f571]) ).
cnf(s89,plain,
( ~ spl0_33
| ~ spl0_101 ),
inference(sat_conversion,[],[f599]) ).
cnf(s90,plain,
( ~ spl0_33
| ~ spl0_102 ),
inference(sat_conversion,[],[f603]) ).
cnf(s91,plain,
( ~ spl0_51
| ~ spl0_103 ),
inference(sat_conversion,[],[f608]) ).
cnf(s92,plain,
( ~ spl0_51
| ~ spl0_104 ),
inference(sat_conversion,[],[f612]) ).
cnf(s93,plain,
( ~ spl0_29
| ~ spl0_105 ),
inference(sat_conversion,[],[f617]) ).
cnf(s97,plain,
( ~ spl0_32
| spl0_110 ),
inference(sat_conversion,[],[f637]) ).
cnf(s98,plain,
( ~ spl0_32
| spl0_111 ),
inference(sat_conversion,[],[f641]) ).
cnf(s99,plain,
( ~ spl0_40
| spl0_112 ),
inference(sat_conversion,[],[f645]) ).
cnf(s100,plain,
( ~ spl0_40
| spl0_113 ),
inference(sat_conversion,[],[f649]) ).
cnf(s101,plain,
( ~ spl0_43
| spl0_114 ),
inference(sat_conversion,[],[f653]) ).
cnf(s102,plain,
( ~ spl0_43
| spl0_115 ),
inference(sat_conversion,[],[f657]) ).
cnf(s105,plain,
( ~ spl0_52
| spl0_118 ),
inference(sat_conversion,[],[f669]) ).
cnf(s106,plain,
( ~ spl0_26
| spl0_119 ),
inference(sat_conversion,[],[f673]) ).
cnf(s107,plain,
( ~ spl0_26
| spl0_120 ),
inference(sat_conversion,[],[f677]) ).
cnf(s109,plain,
( ~ spl0_61
| spl0_122 ),
inference(sat_conversion,[],[f685]) ).
cnf(s112,plain,
( ~ spl0_37
| spl0_125 ),
inference(sat_conversion,[],[f697]) ).
cnf(s114,plain,
( ~ spl0_57
| spl0_127 ),
inference(sat_conversion,[],[f705]) ).
cnf(s118,plain,
( ~ spl0_20
| spl0_131 ),
inference(sat_conversion,[],[f721]) ).
cnf(s120,plain,
( ~ spl0_49
| spl0_133 ),
inference(sat_conversion,[],[f729]) ).
cnf(s125,plain,
( ~ spl0_33
| spl0_138 ),
inference(sat_conversion,[],[f749]) ).
cnf(s126,plain,
( ~ spl0_51
| spl0_139 ),
inference(sat_conversion,[],[f753]) ).
cnf(s127,plain,
( ~ spl0_29
| spl0_140 ),
inference(sat_conversion,[],[f757]) ).
cnf(s128,plain,
( ~ spl0_29
| spl0_141 ),
inference(sat_conversion,[],[f761]) ).
cnf(s132,plain,
( ~ spl0_46
| spl0_145 ),
inference(sat_conversion,[],[f778]) ).
cnf(s133,plain,
( ~ spl0_46
| spl0_146 ),
inference(sat_conversion,[],[f782]) ).
cnf(s134,plain,
( ~ spl0_46
| spl0_147 ),
inference(sat_conversion,[],[f786]) ).
cnf(s135,plain,
( ~ spl0_58
| spl0_148 ),
inference(sat_conversion,[],[f791]) ).
cnf(s136,plain,
( ~ spl0_58
| spl0_149 ),
inference(sat_conversion,[],[f795]) ).
cnf(s137,plain,
( ~ spl0_58
| spl0_150 ),
inference(sat_conversion,[],[f799]) ).
cnf(s138,plain,
( ~ spl0_23
| spl0_151 ),
inference(sat_conversion,[],[f804]) ).
cnf(s139,plain,
( ~ spl0_23
| spl0_152 ),
inference(sat_conversion,[],[f808]) ).
cnf(s140,plain,
( ~ spl0_23
| spl0_153 ),
inference(sat_conversion,[],[f812]) ).
cnf(s141,plain,
( ~ spl0_62
| spl0_154 ),
inference(sat_conversion,[],[f817]) ).
cnf(s142,plain,
( ~ spl0_62
| spl0_155 ),
inference(sat_conversion,[],[f821]) ).
cnf(s143,plain,
( ~ spl0_62
| spl0_156 ),
inference(sat_conversion,[],[f825]) ).
cnf(s145,plain,
( spl0_29
| spl0_43
| spl0_51 ),
inference(sat_conversion,[],[f828]) ).
cnf(s147,plain,
( spl0_46
| spl0_61
| spl0_62 ),
inference(sat_conversion,[],[f830]) ).
cnf(s148,plain,
( spl0_43
| spl0_49
| spl0_62 ),
inference(sat_conversion,[],[f831]) ).
cnf(s151,plain,
( spl0_37
| spl0_58
| spl0_61 ),
inference(sat_conversion,[],[f834]) ).
cnf(s152,plain,
( spl0_37
| spl0_40
| spl0_58 ),
inference(sat_conversion,[],[f835]) ).
cnf(s155,plain,
( spl0_3
| ~ spl0_43 ),
inference(sat_conversion,[],[f839]) ).
cnf(s171,plain,
( spl0_3
| ~ spl0_49 ),
inference(sat_conversion,[],[f855]) ).
cnf(s183,plain,
( spl0_3
| ~ spl0_62 ),
inference(sat_conversion,[],[f867]) ).
cnf(s184,plain,
( spl0_33
| spl0_57 ),
inference(sat_conversion,[],[f868]) ).
cnf(s185,plain,
( ~ spl0_11
| spl0_64
| ~ spl0_112
| ~ spl0_113 ),
inference(sat_conversion,[],[f896]) ).
cnf(s192,plain,
( ~ spl0_12
| spl0_72
| spl0_73
| ~ spl0_122 ),
inference(sat_conversion,[],[f948]) ).
cnf(s205,plain,
( ~ spl0_5
| spl0_65
| ~ spl0_114
| ~ spl0_115 ),
inference(sat_conversion,[],[f1008]) ).
cnf(s207,plain,
( ~ spl0_5
| spl0_105
| ~ spl0_141
| ~ spl0_161 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s219,plain,
( ~ spl0_5
| ~ spl0_15
| spl0_104
| ~ spl0_139 ),
inference(sat_conversion,[],[f1076]) ).
cnf(s220,plain,
( ~ spl0_5
| ~ spl0_15
| spl0_105
| ~ spl0_141 ),
inference(sat_conversion,[],[f1078]) ).
cnf(s221,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| spl0_76
| ~ spl0_125 ),
inference(sat_conversion,[],[f1093]) ).
cnf(s223,plain,
( ~ spl0_11
| ~ spl0_16
| spl0_103
| ~ spl0_139 ),
inference(sat_conversion,[],[f1097]) ).
cnf(s224,plain,
( ~ spl0_11
| ~ spl0_16
| ~ spl0_141
| spl0_161 ),
inference(sat_conversion,[],[f1099]) ).
cnf(s226,plain,
( ~ spl0_12
| ~ spl0_14
| spl0_84
| spl0_85 ),
inference(sat_conversion,[],[f1117]) ).
cnf(s229,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_24 ),
inference(sat_conversion,[],[f1121]) ).
cnf(s230,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_24 ),
inference(sat_conversion,[],[f1122]) ).
cnf(s240,plain,
( ~ spl0_5
| ~ spl0_17
| spl0_68
| ~ spl0_118 ),
inference(sat_conversion,[],[f1169]) ).
cnf(s243,plain,
( ~ spl0_10
| ~ spl0_19
| spl0_65
| ~ spl0_114 ),
inference(sat_conversion,[],[f1186]) ).
cnf(s245,plain,
( ~ spl0_10
| ~ spl0_19
| spl0_68
| ~ spl0_118 ),
inference(sat_conversion,[],[f1189]) ).
cnf(s247,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_22
| spl0_76
| ~ spl0_125 ),
inference(sat_conversion,[],[f1201]) ).
cnf(s250,plain,
( ~ spl0_2
| ~ spl0_22
| ~ spl0_152
| ~ spl0_153 ),
inference(sat_conversion,[],[f1207]) ).
cnf(s252,plain,
( ~ spl0_5
| spl0_8
| ~ spl0_22 ),
inference(sat_conversion,[],[f1222]) ).
cnf(s261,plain,
( ~ spl0_24
| ~ spl0_154
| ~ spl0_155
| ~ spl0_156 ),
inference(sat_conversion,[],[f1252]) ).
cnf(s262,plain,
( ~ spl0_24
| ~ spl0_145
| ~ spl0_146
| ~ spl0_166 ),
inference(sat_conversion,[],[f1258]) ).
cnf(s264,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_119
| ~ spl0_120 ),
inference(sat_conversion,[],[f1276]) ).
cnf(s266,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_151
| ~ spl0_153 ),
inference(sat_conversion,[],[f1279]) ).
cnf(s267,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_155
| ~ spl0_156 ),
inference(sat_conversion,[],[f1280]) ).
cnf(s268,plain,
( ~ spl0_2
| ~ spl0_145
| ~ spl0_147
| ~ spl0_166 ),
inference(sat_conversion,[],[f1291]) ).
cnf(s269,plain,
( ~ spl0_25
| spl0_94
| spl0_95
| ~ spl0_133 ),
inference(sat_conversion,[],[f1313]) ).
cnf(s271,plain,
( ~ spl0_10
| spl0_101
| spl0_102
| ~ spl0_138 ),
inference(sat_conversion,[],[f1322]) ).
cnf(s272,plain,
( ~ spl0_10
| ~ spl0_19
| spl0_90
| ~ spl0_131 ),
inference(sat_conversion,[],[f1335]) ).
cnf(s276,plain,
( ~ spl0_12
| ~ spl0_14
| ~ spl0_16
| spl0_75
| spl0_76 ),
inference(sat_conversion,[],[f1353]) ).
cnf(s283,plain,
( ~ spl0_8
| spl0_69
| ~ spl0_119
| ~ spl0_120 ),
inference(sat_conversion,[],[f1367]) ).
cnf(s288,plain,
( ~ spl0_2
| ~ spl0_148
| ~ spl0_149
| ~ spl0_150 ),
inference(sat_conversion,[],[f1381]) ).
cnf(s292,plain,
( ~ spl0_7
| ~ spl0_24
| ~ spl0_145
| ~ spl0_146 ),
inference(sat_conversion,[],[f1396]) ).
cnf(s298,plain,
( ~ spl0_8
| ~ spl0_24
| ~ spl0_155
| ~ spl0_156 ),
inference(sat_conversion,[],[f1422]) ).
cnf(s300,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_16
| ~ spl0_21
| spl0_76
| ~ spl0_125 ),
inference(sat_conversion,[],[f1436]) ).
cnf(s311,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_24
| spl0_104
| ~ spl0_139 ),
inference(sat_conversion,[],[f1496]) ).
cnf(s320,plain,
( ~ spl0_9
| spl0_63
| ~ spl0_110
| ~ spl0_111 ),
inference(sat_conversion,[],[f1522]) ).
cnf(s325,plain,
( ~ spl0_9
| ~ spl0_146
| ~ spl0_147
| spl0_166 ),
inference(sat_conversion,[],[f1533]) ).
cnf(s327,plain,
( ~ spl0_5
| ~ spl0_17
| spl0_102
| ~ spl0_138 ),
inference(sat_conversion,[],[f1545]) ).
cnf(s344,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_24
| spl0_80
| ~ spl0_127 ),
inference(sat_conversion,[],[f1610]) ).
cnf(s348,plain,
( ~ spl0_13
| ~ spl0_21
| spl0_104
| ~ spl0_139 ),
inference(sat_conversion,[],[f1638]) ).
cnf(s351,plain,
( ~ spl0_13
| ~ spl0_21
| spl0_105
| ~ spl0_141 ),
inference(sat_conversion,[],[f1646]) ).
cnf(s382,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_147
| ~ spl0_166 ),
inference(sat_conversion,[],[f1731]) ).
cnf(s383,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_149
| ~ spl0_150 ),
inference(sat_conversion,[],[f1733]) ).
cnf(s385,plain,
( ~ spl0_2
| spl0_11
| ~ spl0_25 ),
inference(sat_conversion,[],[f1737]) ).
cnf(s391,plain,
( ~ spl0_11
| ~ spl0_140
| ~ spl0_141
| spl0_161 ),
inference(sat_conversion,[],[f1746]) ).
cnf(s395,plain,
( ~ spl0_7
| ~ spl0_145
| ~ spl0_146
| spl0_166 ),
inference(sat_conversion,[],[f1771]) ).
cnf(s397,plain,
( ~ spl0_4
| ~ spl0_145
| ~ spl0_146
| ~ spl0_147 ),
inference(sat_conversion,[],[f1774]) ).
cnf(s401,plain,
( ~ spl0_6
| ~ spl0_12
| spl0_76
| ~ spl0_125 ),
inference(sat_conversion,[],[f1802]) ).
cnf(s403,plain,
( ~ spl0_12
| spl0_76
| ~ spl0_125
| spl0_173 ),
inference(sat_conversion,[],[f1810]) ).
cnf(s404,plain,
( ~ spl0_16
| spl0_75
| spl0_76
| ~ spl0_173 ),
inference(sat_conversion,[],[f1812]) ).
cnf(s407,plain,
( ~ spl0_4
| ~ spl0_148
| ~ spl0_149
| ~ spl0_168 ),
inference(sat_conversion,[],[f1825]) ).
cnf(s408,plain,
( ~ spl0_6
| ~ spl0_149
| ~ spl0_150
| spl0_168 ),
inference(sat_conversion,[],[f1826]) ).
cnf(s409,plain,
spl0_3,
inference(rat,[],[s148,s155,s171,s183]) ).
cnf(s410,plain,
( spl0_7
| spl0_5 ),
inference(rat,[],[s283,s57,s106,s107,s3,s12,s409]) ).
cnf(s411,plain,
( ~ spl0_26
| ~ spl0_8 ),
inference(rat,[],[s283,s57,s106,s107]) ).
cnf(s412,plain,
( ~ spl0_40
| ~ spl0_11 ),
inference(rat,[],[s185,s52,s99,s100]) ).
cnf(s413,plain,
( ~ spl0_58
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s407,s408,s135,s136,s137]) ).
cnf(s414,plain,
( ~ spl0_46
| ~ spl0_4 ),
inference(rat,[],[s397,s132,s133,s134]) ).
cnf(s415,plain,
( ~ spl0_37
| ~ spl0_12
| ~ spl0_6 ),
inference(rat,[],[s401,s64,s112]) ).
cnf(s416,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s192,s60,s61,s109,s151,s415,s43,s413,s414,s409]) ).
cnf(s417,plain,
( ~ spl0_62
| ~ spl0_8
| ~ spl0_24 ),
inference(rat,[],[s298,s142,s143]) ).
cnf(s419,plain,
( ~ spl0_43
| ~ spl0_5 ),
inference(rat,[],[s205,s53,s101,s102]) ).
cnf(s422,plain,
( ~ spl0_32
| ~ spl0_9 ),
inference(rat,[],[s320,s51,s97,s98]) ).
cnf(s423,plain,
( ~ spl0_51
| ~ spl0_13
| ~ spl0_11
| ~ spl0_24 ),
inference(rat,[],[s311,s92,s126]) ).
cnf(s424,plain,
( ~ spl0_29
| ~ spl0_11
| ~ spl0_16
| ~ spl0_5 ),
inference(rat,[],[s207,s224,s93,s128]) ).
cnf(s425,plain,
( ~ spl0_11
| ~ spl0_16
| ~ spl0_5 ),
inference(rat,[],[s223,s91,s126,s145,s424,s419]) ).
cnf(s426,plain,
( ~ spl0_33
| ~ spl0_17
| ~ spl0_5 ),
inference(rat,[],[s327,s90,s125]) ).
cnf(s427,plain,
( ~ spl0_57
| ~ spl0_8
| ~ spl0_16
| ~ spl0_24 ),
inference(rat,[],[s344,s68,s114]) ).
cnf(s428,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_24
| ~ spl0_5 ),
inference(rat,[],[s422,s4,s47,s271,s426,s89,s90,s125,s184,s427,s411,s425,s409]) ).
cnf(s430,plain,
( ~ spl0_13
| ~ spl0_139
| ~ spl0_21
| spl0_43 ),
inference(rat,[],[s351,s93,s128,s145,s92,s348]) ).
cnf(s431,plain,
( ~ spl0_49
| ~ spl0_25 ),
inference(rat,[],[s269,s82,s83,s120]) ).
cnf(s433,plain,
( ~ spl0_21
| ~ spl0_13
| spl0_43 ),
inference(rat,[],[s351,s93,s128,s145,s126,s430]) ).
cnf(s436,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_24
| ~ spl0_5 ),
inference(rat,[],[s391,s207,s93,s127,s128,s145,s423,s419]) ).
cnf(s437,plain,
( ~ spl0_8
| ~ spl0_24
| ~ spl0_5
| spl0_46 ),
inference(rat,[],[s271,s89,s90,s125,s18,s245,s4,s436,s5,s422,s47,s240,s192,s56,s105,s431,s60,s61,s109,s36,s148,s147,s428,s417,s411,s419,s409]) ).
cnf(s438,plain,
( ~ spl0_62
| ~ spl0_24 ),
inference(rat,[],[s261,s141,s142,s143]) ).
cnf(s439,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s271,s89,s90,s125,s18,s272,s78,s118,s4,s9,s436,s433,s5,s422,s17,s192,s431,s60,s61,s109,s148,s147,s438,s252,s437,s419,s230,s2,s416,s414,s1,s409]) ).
cnf(s440,plain,
( ~ spl0_58
| ~ spl0_2 ),
inference(rat,[],[s288,s135,s136,s137]) ).
cnf(s441,plain,
( spl0_46
| spl0_62
| spl0_58 ),
inference(rat,[],[s192,s60,s61,s109,s43,s147,s409]) ).
cnf(s442,plain,
( ~ spl0_31
| ~ spl0_12
| ~ spl0_14 ),
inference(rat,[],[s226,s72,s73]) ).
cnf(s443,plain,
( ~ spl0_29
| ~ spl0_15
| ~ spl0_5 ),
inference(rat,[],[s220,s93,s128]) ).
cnf(s444,plain,
( ~ spl0_15
| ~ spl0_5 ),
inference(rat,[],[s219,s92,s126,s145,s443,s419]) ).
cnf(s445,plain,
( ~ spl0_11
| spl0_9
| ~ spl0_24
| ~ spl0_5 ),
inference(rat,[],[s442,s5,s27,s38,s436,s425,s412,s419,s444,s409]) ).
cnf(s446,plain,
( ~ spl0_33
| ~ spl0_10 ),
inference(rat,[],[s271,s89,s90,s125]) ).
cnf(s447,plain,
( ~ spl0_20
| ~ spl0_19
| ~ spl0_10 ),
inference(rat,[],[s272,s78,s118]) ).
cnf(s448,plain,
( ~ spl0_5
| ~ spl0_2 ),
inference(rat,[],[s245,s56,s105,s36,s300,s5,s433,s64,s112,s9,s34,s447,s18,s446,s4,s445,s250,s139,s140,s325,s11,s262,s292,s414,s132,s133,s134,s441,s431,s148,s438,s419,s229,s440,s409]) ).
cnf(s450,plain,
( ~ spl0_12
| spl0_75
| spl0_76
| ~ spl0_14
| spl0_5 ),
inference(rat,[],[s15,s442,s276,s409]) ).
cnf(s451,plain,
( ~ spl0_46
| ~ spl0_2 ),
inference(rat,[],[s395,s268,s132,s133,s134,s410,s448]) ).
cnf(s452,plain,
( ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s221,s15,s64,s112,s442,s152,s25,s412,s448,s43,s451,s440,s409]) ).
cnf(s453,plain,
( ~ spl0_37
| ~ spl0_22
| ~ spl0_2 ),
inference(rat,[],[s247,s64,s112,s43,s451,s440,s409]) ).
cnf(s454,plain,
( ~ spl0_61
| ~ spl0_12 ),
inference(rat,[],[s192,s60,s61,s109]) ).
cnf(s455,plain,
~ spl0_2,
inference(rat,[],[s18,s446,s243,s4,s53,s101,s422,s27,s404,s17,s450,s403,s453,s63,s64,s112,s151,s454,s385,s452,s43,s451,s448,s440,s409]) ).
cnf(s456,plain,
spl0_1,
inference(rat,[],[s439,s455]) ).
cnf(s458,plain,
( ~ spl0_26
| ~ spl0_5 ),
inference(rat,[],[s264,s106,s107,s456]) ).
cnf(s459,plain,
( ~ spl0_23
| ~ spl0_5 ),
inference(rat,[],[s266,s138,s140,s456]) ).
cnf(s460,plain,
( ~ spl0_62
| ~ spl0_5 ),
inference(rat,[],[s267,s142,s143,s456]) ).
cnf(s461,plain,
~ spl0_5,
inference(rat,[],[s437,s230,s414,s16,s11,s431,s148,s460,s459,s458,s419,s409]) ).
cnf(s462,plain,
spl0_6,
inference(rat,[],[s2,s455,s409,s461]) ).
cnf(s463,plain,
spl0_7,
inference(rat,[],[s410,s461]) ).
cnf(s468,plain,
~ spl0_58,
inference(rat,[],[s383,s136,s137,s456,s462]) ).
cnf(s469,plain,
~ spl0_46,
inference(rat,[],[s395,s382,s132,s133,s134,s463,s456,s462]) ).
cnf(s470,plain,
spl0_12,
inference(rat,[],[s43,s468,s409,s469]) ).
cnf(s471,plain,
~ spl0_61,
inference(rat,[],[s454,s470]) ).
cnf(s472,plain,
~ spl0_37,
inference(rat,[],[s415,s462,s470]) ).
cnf(s473,plain,
$false,
inference(rat,[],[s151,s468,s471,s472]) ).
fof(f1827,plain,
$false,
inference(avatar_sat_refutation,[],[s473]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN443-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.17 % Computer : n002.cluster.edu
% 0.05/0.17 % Model : x86_64 x86_64
% 0.05/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.17 % Memory : 8046.5625MB
% 0.05/0.17 % OS : Linux 6.8.0-71-generic
% 0.05/0.17 % CPULimit : 300
% 0.05/0.18 % WCLimit : 300
% 0.05/0.18 % DateTime : Mon Sep 28 16:05:51 UTC 2026
% 0.05/0.18 % CPUTime :
% 0.05/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.20 Running first-order theorem proving
% 0.05/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.95 % (479343)Input is clausal, will run a generic CNF schedule.
% 0.60/0.95 % (479352)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3248968017:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.60/0.95 % (479352)First to succeed.
% 0.60/0.95 % (479352)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-479343"
% 0.60/0.95 % (479348)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=2385089311:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.60/0.95 % (479350)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1443946001:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.60/0.95 % (479351)lrs+10_1_sil=8000:sp=occurrence:random_seed=4200309511:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.60/0.95 % (479349)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=875222358:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.60/0.95 % (479353)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1675532115:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.60/0.95 % (479354)dis-21_1_sil=8000:lcm=predicate:random_seed=931854314: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)
% 0.60/0.95 % (479354)Also succeeded, but the first one will report.
% 0.60/0.95 % (479353)Also succeeded, but the first one will report.
% 0.60/0.95 % (479351)Also succeeded, but the first one will report.
% 0.60/0.95 % (479352)Refutation found. Thanks to Tanya!
% 0.60/0.95 % SZS status Unsatisfiable for theBenchmark
% 0.60/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 2.67/1.12 % (479352)------------------------------
% 2.67/1.12 % (479352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.12 % (479352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.12 % (479352)CaDiCaL version: 2.1.3
% 2.67/1.12 % (479352)Termination reason: Refutation
% 2.67/1.12 % (479352)Time elapsed: 0.014 s
% 2.67/1.12 % (479352)Peak memory usage: 90 MB
% 2.67/1.12 % (479352)Instructions burned: 37 (million)
% 2.67/1.12 % (479352)------------------------------
% 2.67/1.12 % (479352)------------------------------
% 2.67/1.12 % (479343)Success in time 0.309 s
% 2.67/1.12 % Vampire exiting
%------------------------------------------------------------------------------