%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN457-1 : 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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:52:27 PM UTC 2026
% Result : Unsatisfiable 1.31s 1.13s
% Output : Refutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 249
% Syntax : Number of formulae : 758 ( 25 unt; 141 def)
% Number of atoms : 2168 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2540 (1130 ~;1269 |; 0 &)
% ( 141 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 177 ( 176 usr; 173 prp; 0-1 aty)
% Number of functors : 27 ( 27 usr; 27 con; 0-0 aty)
% Number of variables : 99 ( 0 sgn 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,negated_conjecture,
( ~ hskp65
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f12,negated_conjecture,
( ~ hskp64
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f53,negated_conjecture,
( ~ hskp23
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f80,negated_conjecture,
( hskp10
| hskp14
| hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( hskp23
| hskp64
| hskp65 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( hskp66
| hskp27
| hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( hskp29
| hskp52
| hskp53 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f85,negated_conjecture,
( ~ hskp75
| c0_1(a1724) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( ~ hskp75
| c3_1(a1724) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f89,negated_conjecture,
( ~ hskp73
| c2_1(a1716) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( ~ hskp73
| c0_1(a1716) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( ~ hskp72
| c1_1(a1715) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( ~ hskp72
| c3_1(a1715) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f103,negated_conjecture,
( ~ hskp66
| c0_1(a1692) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f110,negated_conjecture,
( ~ hskp61
| c3_1(a1674) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f116,negated_conjecture,
( ~ hskp57
| c0_1(a1665) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ hskp57
| c3_1(a1665) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f120,negated_conjecture,
( ~ hskp55
| c1_1(a1661) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f123,negated_conjecture,
( ~ hskp53
| c2_1(a1656) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ hskp53
| c0_1(a1656) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ hskp52
| c0_1(a1654) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ hskp52
| c2_1(a1654) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ hskp52
| c3_1(a1654) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f148,negated_conjecture,
( ~ hskp40
| c1_1(a1725) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f149,negated_conjecture,
( ~ hskp40
| c3_1(a1725) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f152,negated_conjecture,
( ~ hskp37
| c2_1(a1714) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
fof(f153,negated_conjecture,
( ~ hskp37
| c0_1(a1714) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f154,negated_conjecture,
( ~ hskp34
| c2_1(a1705) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
fof(f155,negated_conjecture,
( ~ hskp33
| c3_1(a1704) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
fof(f161,negated_conjecture,
( ~ hskp29
| c2_1(a1695) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f162,negated_conjecture,
( ~ hskp29
| c0_1(a1695) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
fof(f163,negated_conjecture,
( ~ hskp28
| c2_1(a1694) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f170,negated_conjecture,
( ~ hskp15
| c3_1(a1672) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f171,negated_conjecture,
( ~ hskp15
| c1_1(a1672) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f172,negated_conjecture,
( ~ hskp14
| c2_1(a1671) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f173,negated_conjecture,
( ~ hskp13
| c0_1(a1667) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
( ~ hskp13
| c3_1(a1667) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f175,negated_conjecture,
( ~ hskp12
| c2_1(a1666) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f176,negated_conjecture,
( ~ hskp12
| c3_1(a1666) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f178,negated_conjecture,
( ~ hskp7
| c3_1(a1655) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f179,negated_conjecture,
( ~ hskp7
| c0_1(a1655) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f183,negated_conjecture,
( ~ hskp1
| c3_1(a1643) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f186,negated_conjecture,
( ~ c2_1(a1724)
| ~ hskp75 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
fof(f188,negated_conjecture,
( ~ c3_1(a1716)
| ~ hskp73 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).
fof(f189,negated_conjecture,
( ~ c2_1(a1715)
| ~ hskp72 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).
fof(f195,negated_conjecture,
( ~ c1_1(a1692)
| ~ hskp66 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
fof(f196,negated_conjecture,
( ~ c2_1(a1692)
| ~ hskp66 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
fof(f203,negated_conjecture,
( ~ c1_1(a1674)
| ~ hskp61 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).
fof(f204,negated_conjecture,
( ~ c2_1(a1674)
| ~ hskp61 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).
fof(f211,negated_conjecture,
( ~ c2_1(a1661)
| ~ hskp55 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause211) ).
fof(f212,negated_conjecture,
( ~ c3_1(a1661)
| ~ hskp55 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause212) ).
fof(f214,negated_conjecture,
( ~ c3_1(a1656)
| ~ hskp53 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause214) ).
fof(f228,negated_conjecture,
( ~ c2_1(a1725)
| ~ hskp40 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause228) ).
fof(f233,negated_conjecture,
( ~ c1_1(a1714)
| ~ hskp37 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause233) ).
fof(f240,negated_conjecture,
( ~ c3_1(a1705)
| ~ hskp34 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause240) ).
fof(f241,negated_conjecture,
( ~ c1_1(a1705)
| ~ hskp34 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause241) ).
fof(f242,negated_conjecture,
( ~ c0_1(a1704)
| ~ hskp33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause242) ).
fof(f243,negated_conjecture,
( ~ c2_1(a1704)
| ~ hskp33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause243) ).
fof(f248,negated_conjecture,
( ~ c3_1(a1695)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause248) ).
fof(f249,negated_conjecture,
( ~ c1_1(a1694)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause249) ).
fof(f250,negated_conjecture,
( ~ c3_1(a1694)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause250) ).
fof(f251,negated_conjecture,
( ~ c0_1(a1693)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause251) ).
fof(f252,negated_conjecture,
( ~ c3_1(a1693)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause252) ).
fof(f253,negated_conjecture,
( ~ c2_1(a1693)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause253) ).
fof(f254,negated_conjecture,
( ~ c3_1(a1691)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause254) ).
fof(f255,negated_conjecture,
( ~ c1_1(a1691)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause255) ).
fof(f256,negated_conjecture,
( ~ c2_1(a1691)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause256) ).
fof(f275,negated_conjecture,
( ~ c0_1(a1678)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause275) ).
fof(f276,negated_conjecture,
( ~ c1_1(a1678)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause276) ).
fof(f277,negated_conjecture,
( ~ c2_1(a1678)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause277) ).
fof(f278,negated_conjecture,
( ~ c0_1(a1677)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause278) ).
fof(f279,negated_conjecture,
( ~ c2_1(a1677)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause279) ).
fof(f280,negated_conjecture,
( ~ c1_1(a1677)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause280) ).
fof(f281,negated_conjecture,
( ~ c0_1(a1672)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause281) ).
fof(f282,negated_conjecture,
( ~ c1_1(a1671)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause282) ).
fof(f283,negated_conjecture,
( ~ c3_1(a1671)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause283) ).
fof(f284,negated_conjecture,
( ~ c1_1(a1667)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause284) ).
fof(f285,negated_conjecture,
( ~ c1_1(a1666)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause285) ).
fof(f289,negated_conjecture,
( ~ c2_1(a1663)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause289) ).
fof(f290,negated_conjecture,
( ~ c3_1(a1663)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause290) ).
fof(f291,negated_conjecture,
( ~ c0_1(a1663)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause291) ).
fof(f292,negated_conjecture,
( ~ c3_1(a1660)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause292) ).
fof(f293,negated_conjecture,
( ~ c0_1(a1660)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause293) ).
fof(f294,negated_conjecture,
( ~ c1_1(a1660)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause294) ).
fof(f297,negated_conjecture,
( ~ c2_1(a1655)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause297) ).
fof(f310,negated_conjecture,
( ~ c1_1(a1643)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause310) ).
fof(f311,negated_conjecture,
( ~ c2_1(a1643)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause311) ).
fof(f314,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c3_1(X0)
| c0_1(X0)
| c2_1(X0)
| hskp37
| hskp72 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause314) ).
fof(f324,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp52
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause324) ).
fof(f325,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp9
| hskp55 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause325) ).
fof(f328,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp16
| hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause328) ).
fof(f330,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp61
| hskp33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause330) ).
fof(f332,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| hskp12
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause332) ).
fof(f334,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause334) ).
fof(f342,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c3_1(X1)
| hskp57 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause342) ).
fof(f346,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause346) ).
fof(f347,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X0)
| c3_1(X0)
| c2_1(X1)
| hskp61 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause347) ).
fof(f348,negated_conjecture,
! [X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X0)
| c2_1(X0)
| c3_1(X1)
| hskp75 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause348) ).
fof(f350,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c1_1(X0)
| c2_1(X1)
| hskp34 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause350) ).
fof(f351,negated_conjecture,
! [X0,X1] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| hskp73 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause351) ).
fof(f354,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp40 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause354) ).
fof(f356,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X0)
| hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause356) ).
fof(f357,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause357) ).
fof(f359,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| c2_1(X2)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause359) ).
fof(f360,negated_conjecture,
! [X2,X0,X1] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X2)
| c2_1(X0)
| c2_1(X1)
| c0_1(X1)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause360) ).
fof(f361,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| c2_1(X2)
| c3_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause361) ).
fof(f363,negated_conjecture,
! [X2,X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| c0_1(X0)
| c1_1(X0)
| c1_1(X1)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause363) ).
fof(f364,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X2)
| c2_1(X0)
| c1_1(X0)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause364) ).
fof(f366,definition,
( spl0_1
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f367,plain,
( ! [X2] :
( c1_1(X2)
| c2_1(X2)
| ~ c3_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f369,definition,
( spl0_2
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f370,plain,
( ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f372,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f375,definition,
( spl0_4
<=> ! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f376,plain,
( ! [X0] :
( c1_1(X0)
| ~ c0_1(X0)
| c2_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f377,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f364,f375,f372,f369,f366]) ).
fof(f379,definition,
( spl0_5
<=> ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f380,plain,
( ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| ~ c2_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f382,definition,
( spl0_6
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f383,plain,
( ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f385,definition,
( spl0_7
<=> ! [X0] :
( ~ c3_1(X0)
| c1_1(X0)
| c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f386,plain,
( ! [X0] :
( c1_1(X0)
| ~ c3_1(X0)
| c0_1(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f387,plain,
( spl0_5
| spl0_6
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f363,f385,f372,f382,f379]) ).
fof(f389,definition,
( spl0_8
<=> ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f390,plain,
( ! [X2] :
( c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f392,definition,
( spl0_9
<=> ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f393,plain,
( ! [X1] :
( c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f395,definition,
( spl0_10
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f396,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f399,definition,
( spl0_11
<=> ! [X2] :
( c2_1(X2)
| c0_1(X2)
| c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f400,plain,
( ! [X2] :
( c2_1(X2)
| c0_1(X2)
| c3_1(X2) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f402,definition,
( spl0_12
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f403,plain,
( ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f405,definition,
( spl0_13
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f406,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f407,plain,
( spl0_11
| spl0_12
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f361,f405,f372,f402,f399]) ).
fof(f409,definition,
( spl0_14
<=> ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f410,plain,
( ! [X2] :
( c1_1(X2)
| c3_1(X2)
| ~ c0_1(X2) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f411,plain,
( spl0_14
| spl0_9
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f360,f395,f372,f392,f409]) ).
fof(f413,definition,
( spl0_15
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f414,plain,
( ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X2) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f416,definition,
( spl0_16
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f417,plain,
( ! [X1] :
( c1_1(X1)
| c0_1(X1)
| c2_1(X1) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f419,definition,
( spl0_17
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f420,plain,
( ! [X0] :
( ~ c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f421,plain,
( spl0_15
| spl0_16
| ~ spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f359,f419,f372,f416,f413]) ).
fof(f429,definition,
( spl0_20
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f430,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f433,definition,
( spl0_21
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f435,plain,
( spl0_21
| spl0_20
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f357,f369,f372,f429,f433]) ).
fof(f437,definition,
( spl0_22
<=> hskp26 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f439,plain,
( spl0_22
| spl0_13
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f356,f389,f372,f405,f437]) ).
fof(f444,definition,
( spl0_24
<=> ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f445,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f448,definition,
( spl0_25
<=> hskp40 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f451,definition,
( spl0_26
<=> ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f452,plain,
( ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f453,plain,
( spl0_25
| spl0_26
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f354,f369,f372,f451,f448]) ).
fof(f465,definition,
( spl0_30
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f466,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| c3_1(X0) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f469,definition,
( spl0_31
<=> hskp73 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f472,definition,
( spl0_32
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f473,plain,
( ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f474,plain,
( spl0_31
| spl0_32
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f351,f389,f372,f472,f469]) ).
fof(f476,definition,
( spl0_33
<=> hskp34 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f478,plain,
( spl0_33
| spl0_20
| ~ spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f350,f402,f372,f429,f476]) ).
fof(f484,definition,
( spl0_35
<=> hskp75 ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f486,plain,
( spl0_35
| spl0_5
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f348,f366,f372,f379,f484]) ).
fof(f488,definition,
( spl0_36
<=> hskp61 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f491,definition,
( spl0_37
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f492,plain,
( ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f493,plain,
( spl0_36
| spl0_37
| ~ spl0_3
| spl0_30 ),
inference(avatar_split_clause,[],[f347,f465,f372,f491,f488]) ).
fof(f495,definition,
( spl0_38
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f497,plain,
( spl0_38
| spl0_7
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f346,f382,f372,f385,f495]) ).
fof(f517,definition,
( spl0_44
<=> hskp57 ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f519,plain,
( spl0_44
| spl0_26
| ~ spl0_3
| spl0_30 ),
inference(avatar_split_clause,[],[f342,f465,f372,f451,f517]) ).
fof(f561,definition,
( spl0_56
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f563,plain,
( spl0_56
| spl0_11
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f334,f375,f372,f399,f561]) ).
fof(f572,definition,
( spl0_59
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f574,plain,
( spl0_21
| spl0_59
| ~ spl0_3
| spl0_24 ),
inference(avatar_split_clause,[],[f332,f444,f372,f572,f433]) ).
fof(f583,definition,
( spl0_62
<=> hskp33 ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f585,plain,
( spl0_62
| spl0_36
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f330,f395,f372,f488,f583]) ).
fof(f594,definition,
( spl0_65
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f597,definition,
( spl0_66
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f599,plain,
( spl0_65
| spl0_66
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f328,f382,f372,f597,f594]) ).
fof(f609,definition,
( spl0_69
<=> hskp55 ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f612,definition,
( spl0_70
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f614,plain,
( spl0_69
| spl0_70
| ~ spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f325,f419,f372,f612,f609]) ).
fof(f616,definition,
( spl0_71
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f619,definition,
( spl0_72
<=> hskp52 ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f621,plain,
( spl0_71
| spl0_72
| ~ spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f324,f419,f372,f619,f616]) ).
fof(f674,definition,
( spl0_87
<=> hskp72 ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f677,definition,
( spl0_88
<=> hskp37 ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f679,plain,
( spl0_87
| spl0_88
| spl0_11
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f314,f372,f399,f677,f674]) ).
fof(f681,definition,
( spl0_89
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f694,definition,
( spl0_92
<=> c2_1(a1643) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f696,plain,
( ~ spl0_56
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f311,f694,f561]) ).
fof(f698,definition,
( spl0_93
<=> c1_1(a1643) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f699,plain,
( ~ c1_1(a1643)
| spl0_93 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f700,plain,
( ~ spl0_56
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f310,f698,f561]) ).
fof(f758,definition,
( spl0_107
<=> c2_1(a1655) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f759,plain,
( ~ c2_1(a1655)
| spl0_107 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f760,plain,
( ~ spl0_71
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f297,f758,f616]) ).
fof(f774,definition,
( spl0_111
<=> c1_1(a1660) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f775,plain,
( ~ c1_1(a1660)
| spl0_111 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f776,plain,
( ~ spl0_70
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f294,f774,f612]) ).
fof(f778,definition,
( spl0_112
<=> c0_1(a1660) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f780,plain,
( ~ spl0_70
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f293,f778,f612]) ).
fof(f782,definition,
( spl0_113
<=> c3_1(a1660) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f784,plain,
( ~ spl0_70
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f292,f782,f612]) ).
fof(f787,definition,
( spl0_114
<=> c0_1(a1663) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f789,plain,
( ~ spl0_89
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f291,f787,f681]) ).
fof(f791,definition,
( spl0_115
<=> c3_1(a1663) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f793,plain,
( ~ spl0_89
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f290,f791,f681]) ).
fof(f795,definition,
( spl0_116
<=> c2_1(a1663) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f796,plain,
( ~ c2_1(a1663)
| spl0_116 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f797,plain,
( ~ spl0_89
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f289,f795,f681]) ).
fof(f813,definition,
( spl0_120
<=> c1_1(a1666) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f814,plain,
( ~ c1_1(a1666)
| spl0_120 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f815,plain,
( ~ spl0_59
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f285,f813,f572]) ).
fof(f818,definition,
( spl0_121
<=> c1_1(a1667) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f819,plain,
( ~ c1_1(a1667)
| spl0_121 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f820,plain,
( ~ spl0_21
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f284,f818,f433]) ).
fof(f822,definition,
( spl0_122
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f825,definition,
( spl0_123
<=> c3_1(a1671) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f827,plain,
( ~ spl0_122
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f283,f825,f822]) ).
fof(f829,definition,
( spl0_124
<=> c1_1(a1671) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f830,plain,
( ~ c1_1(a1671)
| spl0_124 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f831,plain,
( ~ spl0_122
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f282,f829,f822]) ).
fof(f833,definition,
( spl0_125
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f836,definition,
( spl0_126
<=> c0_1(a1672) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f838,plain,
( ~ spl0_125
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f281,f836,f833]) ).
fof(f841,definition,
( spl0_127
<=> c1_1(a1677) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f842,plain,
( ~ c1_1(a1677)
| spl0_127 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f843,plain,
( ~ spl0_66
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f280,f841,f597]) ).
fof(f845,definition,
( spl0_128
<=> c2_1(a1677) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f846,plain,
( ~ c2_1(a1677)
| spl0_128 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f847,plain,
( ~ spl0_66
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f279,f845,f597]) ).
fof(f849,definition,
( spl0_129
<=> c0_1(a1677) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f851,plain,
( ~ spl0_66
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f278,f849,f597]) ).
fof(f854,definition,
( spl0_130
<=> c2_1(a1678) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f855,plain,
( ~ c2_1(a1678)
| spl0_130 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f856,plain,
( ~ spl0_65
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f277,f854,f594]) ).
fof(f858,definition,
( spl0_131
<=> c1_1(a1678) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f859,plain,
( ~ c1_1(a1678)
| spl0_131 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f860,plain,
( ~ spl0_65
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f276,f858,f594]) ).
fof(f862,definition,
( spl0_132
<=> c0_1(a1678) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f864,plain,
( ~ spl0_65
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f275,f862,f594]) ).
fof(f919,definition,
( spl0_145
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f949,definition,
( spl0_152
<=> c2_1(a1691) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f950,plain,
( ~ c2_1(a1691)
| spl0_152 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f951,plain,
( ~ spl0_22
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f256,f949,f437]) ).
fof(f953,definition,
( spl0_153
<=> c1_1(a1691) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f954,plain,
( ~ c1_1(a1691)
| spl0_153 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f955,plain,
( ~ spl0_22
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f255,f953,f437]) ).
fof(f957,definition,
( spl0_154
<=> c3_1(a1691) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f959,plain,
( ~ spl0_22
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f254,f957,f437]) ).
fof(f961,definition,
( spl0_155
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f964,definition,
( spl0_156
<=> c2_1(a1693) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f965,plain,
( ~ c2_1(a1693)
| spl0_156 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f966,plain,
( ~ spl0_155
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f253,f964,f961]) ).
fof(f968,definition,
( spl0_157
<=> c3_1(a1693) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f970,plain,
( ~ spl0_155
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f252,f968,f961]) ).
fof(f972,definition,
( spl0_158
<=> c0_1(a1693) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f974,plain,
( ~ spl0_155
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f251,f972,f961]) ).
fof(f976,definition,
( spl0_159
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f979,definition,
( spl0_160
<=> c3_1(a1694) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f981,plain,
( ~ spl0_159
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f250,f979,f976]) ).
fof(f983,definition,
( spl0_161
<=> c1_1(a1694) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f984,plain,
( ~ c1_1(a1694)
| spl0_161 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f985,plain,
( ~ spl0_159
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f249,f983,f976]) ).
fof(f988,definition,
( spl0_162
<=> c3_1(a1695) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f990,plain,
( ~ spl0_38
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f248,f988,f495]) ).
fof(f1016,definition,
( spl0_169
<=> c2_1(a1704) ),
introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).
fof(f1017,plain,
( ~ c2_1(a1704)
| spl0_169 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f1018,plain,
( ~ spl0_62
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f243,f1016,f583]) ).
fof(f1020,definition,
( spl0_170
<=> c0_1(a1704) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
fof(f1022,plain,
( ~ spl0_62
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f242,f1020,f583]) ).
fof(f1025,definition,
( spl0_171
<=> c1_1(a1705) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
fof(f1026,plain,
( ~ c1_1(a1705)
| spl0_171 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1027,plain,
( ~ spl0_33
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f241,f1025,f476]) ).
fof(f1029,definition,
( spl0_172
<=> c3_1(a1705) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f1031,plain,
( ~ spl0_33
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f240,f1029,f476]) ).
fof(f1060,definition,
( spl0_179
<=> c1_1(a1714) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
fof(f1061,plain,
( ~ c1_1(a1714)
| spl0_179 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1062,plain,
( ~ spl0_88
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f233,f1060,f677]) ).
fof(f1083,definition,
( spl0_184
<=> c2_1(a1725) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f1085,plain,
( ~ spl0_25
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f228,f1083,f448]) ).
fof(f1152,definition,
( spl0_200
<=> hskp53 ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
fof(f1155,definition,
( spl0_201
<=> c3_1(a1656) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
fof(f1157,plain,
( ~ spl0_200
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f214,f1155,f1152]) ).
fof(f1167,definition,
( spl0_204
<=> c3_1(a1661) ),
introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).
fof(f1169,plain,
( ~ spl0_69
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f212,f1167,f609]) ).
fof(f1171,definition,
( spl0_205
<=> c2_1(a1661) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
fof(f1172,plain,
( ~ c2_1(a1661)
| spl0_205 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f1173,plain,
( ~ spl0_69
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f211,f1171,f609]) ).
fof(f1205,definition,
( spl0_212
<=> c2_1(a1674) ),
introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).
fof(f1206,plain,
( ~ c2_1(a1674)
| spl0_212 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f1207,plain,
( ~ spl0_36
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f204,f1205,f488]) ).
fof(f1209,definition,
( spl0_213
<=> c1_1(a1674) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
fof(f1210,plain,
( ~ c1_1(a1674)
| spl0_213 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f1211,plain,
( ~ spl0_36
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f203,f1209,f488]) ).
fof(f1223,definition,
( spl0_216
<=> hskp64 ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
fof(f1234,definition,
( spl0_219
<=> hskp65 ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
fof(f1245,definition,
( spl0_222
<=> hskp66 ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
fof(f1248,definition,
( spl0_223
<=> c2_1(a1692) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
fof(f1250,plain,
( ~ spl0_222
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f196,f1248,f1245]) ).
fof(f1252,definition,
( spl0_224
<=> c1_1(a1692) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
fof(f1253,plain,
( ~ c1_1(a1692)
| spl0_224 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f1254,plain,
( ~ spl0_222
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f195,f1252,f1245]) ).
fof(f1281,definition,
( spl0_230
<=> c2_1(a1715) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
fof(f1283,plain,
( ~ spl0_87
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f189,f1281,f674]) ).
fof(f1286,definition,
( spl0_231
<=> c3_1(a1716) ),
introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).
fof(f1288,plain,
( ~ spl0_31
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f188,f1286,f469]) ).
fof(f1296,definition,
( spl0_233
<=> c2_1(a1724) ),
introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).
fof(f1297,plain,
( ~ c2_1(a1724)
| spl0_233 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1298,plain,
( ~ spl0_35
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f186,f1296,f484]) ).
fof(f1308,definition,
( spl0_236
<=> c3_1(a1643) ),
introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).
fof(f1310,plain,
( spl0_236
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f183,f561,f1308]) ).
fof(f1324,definition,
( spl0_240
<=> c0_1(a1655) ),
introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).
fof(f1325,plain,
( c0_1(a1655)
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1326,plain,
( spl0_240
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f179,f616,f1324]) ).
fof(f1328,definition,
( spl0_241
<=> c3_1(a1655) ),
introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).
fof(f1330,plain,
( spl0_241
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f178,f616,f1328]) ).
fof(f1336,definition,
( spl0_243
<=> c3_1(a1666) ),
introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).
fof(f1338,plain,
( spl0_243
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f176,f572,f1336]) ).
fof(f1340,definition,
( spl0_244
<=> c2_1(a1666) ),
introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).
fof(f1342,plain,
( spl0_244
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f175,f572,f1340]) ).
fof(f1344,definition,
( spl0_245
<=> c3_1(a1667) ),
introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).
fof(f1346,plain,
( spl0_245
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f174,f433,f1344]) ).
fof(f1348,definition,
( spl0_246
<=> c0_1(a1667) ),
introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).
fof(f1350,plain,
( spl0_246
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f173,f433,f1348]) ).
fof(f1352,definition,
( spl0_247
<=> c2_1(a1671) ),
introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).
fof(f1354,plain,
( spl0_247
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f172,f822,f1352]) ).
fof(f1356,definition,
( spl0_248
<=> c1_1(a1672) ),
introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).
fof(f1357,plain,
( c1_1(a1672)
| ~ spl0_248 ),
inference(avatar_component_clause,[],[f1356]) ).
fof(f1358,plain,
( spl0_248
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f171,f833,f1356]) ).
fof(f1360,definition,
( spl0_249
<=> c3_1(a1672) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
fof(f1362,plain,
( spl0_249
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f170,f833,f1360]) ).
fof(f1388,definition,
( spl0_256
<=> c2_1(a1694) ),
introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).
fof(f1390,plain,
( spl0_256
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f163,f976,f1388]) ).
fof(f1392,definition,
( spl0_257
<=> c0_1(a1695) ),
introduced(definition,[new_symbols(definition,[spl0_257])],[avatar_definition]) ).
fof(f1394,plain,
( spl0_257
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f162,f495,f1392]) ).
fof(f1396,definition,
( spl0_258
<=> c2_1(a1695) ),
introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).
fof(f1397,plain,
( c2_1(a1695)
| ~ spl0_258 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f1398,plain,
( spl0_258
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f161,f495,f1396]) ).
fof(f1420,definition,
( spl0_264
<=> c3_1(a1704) ),
introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).
fof(f1422,plain,
( spl0_264
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f155,f583,f1420]) ).
fof(f1424,definition,
( spl0_265
<=> c2_1(a1705) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
fof(f1426,plain,
( spl0_265
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f154,f476,f1424]) ).
fof(f1428,definition,
( spl0_266
<=> c0_1(a1714) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
fof(f1430,plain,
( spl0_266
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f153,f677,f1428]) ).
fof(f1432,definition,
( spl0_267
<=> c2_1(a1714) ),
introduced(definition,[new_symbols(definition,[spl0_267])],[avatar_definition]) ).
fof(f1434,plain,
( spl0_267
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f152,f677,f1432]) ).
fof(f1444,definition,
( spl0_270
<=> c3_1(a1725) ),
introduced(definition,[new_symbols(definition,[spl0_270])],[avatar_definition]) ).
fof(f1446,plain,
( spl0_270
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f149,f448,f1444]) ).
fof(f1448,definition,
( spl0_271
<=> c1_1(a1725) ),
introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).
fof(f1449,plain,
( c1_1(a1725)
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1450,plain,
( spl0_271
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f148,f448,f1448]) ).
fof(f1536,definition,
( spl0_293
<=> c3_1(a1654) ),
introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).
fof(f1539,plain,
( spl0_293
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f127,f619,f1536]) ).
fof(f1541,definition,
( spl0_294
<=> c2_1(a1654) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
fof(f1542,plain,
( c2_1(a1654)
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f1541]) ).
fof(f1543,plain,
( spl0_294
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f126,f619,f1541]) ).
fof(f1545,definition,
( spl0_295
<=> c0_1(a1654) ),
introduced(definition,[new_symbols(definition,[spl0_295])],[avatar_definition]) ).
fof(f1547,plain,
( spl0_295
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f125,f619,f1545]) ).
fof(f1549,definition,
( spl0_296
<=> c0_1(a1656) ),
introduced(definition,[new_symbols(definition,[spl0_296])],[avatar_definition]) ).
fof(f1551,plain,
( spl0_296
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f124,f1152,f1549]) ).
fof(f1553,definition,
( spl0_297
<=> c2_1(a1656) ),
introduced(definition,[new_symbols(definition,[spl0_297])],[avatar_definition]) ).
fof(f1554,plain,
( c2_1(a1656)
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f1553]) ).
fof(f1555,plain,
( spl0_297
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f123,f1152,f1553]) ).
fof(f1565,definition,
( spl0_300
<=> c1_1(a1661) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
fof(f1566,plain,
( c1_1(a1661)
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f1565]) ).
fof(f1567,plain,
( spl0_300
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f120,f609,f1565]) ).
fof(f1577,definition,
( spl0_303
<=> c3_1(a1665) ),
introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).
fof(f1579,plain,
( spl0_303
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f117,f517,f1577]) ).
fof(f1581,definition,
( spl0_304
<=> c0_1(a1665) ),
introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).
fof(f1582,plain,
( c0_1(a1665)
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f1581]) ).
fof(f1583,plain,
( spl0_304
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f116,f517,f1581]) ).
fof(f1605,definition,
( spl0_310
<=> c3_1(a1674) ),
introduced(definition,[new_symbols(definition,[spl0_310])],[avatar_definition]) ).
fof(f1607,plain,
( spl0_310
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f110,f488,f1605]) ).
fof(f1633,definition,
( spl0_317
<=> c0_1(a1692) ),
introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).
fof(f1635,plain,
( spl0_317
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f103,f1245,f1633]) ).
fof(f1678,definition,
( spl0_328
<=> c3_1(a1715) ),
introduced(definition,[new_symbols(definition,[spl0_328])],[avatar_definition]) ).
fof(f1680,plain,
( spl0_328
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f92,f674,f1678]) ).
fof(f1682,definition,
( spl0_329
<=> c1_1(a1715) ),
introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).
fof(f1683,plain,
( c1_1(a1715)
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f1684,plain,
( spl0_329
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f91,f674,f1682]) ).
fof(f1686,definition,
( spl0_330
<=> c0_1(a1716) ),
introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).
fof(f1688,plain,
( spl0_330
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f90,f469,f1686]) ).
fof(f1690,definition,
( spl0_331
<=> c2_1(a1716) ),
introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).
fof(f1691,plain,
( c2_1(a1716)
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f1690]) ).
fof(f1692,plain,
( spl0_331
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f89,f469,f1690]) ).
fof(f1702,definition,
( spl0_334
<=> c3_1(a1724) ),
introduced(definition,[new_symbols(definition,[spl0_334])],[avatar_definition]) ).
fof(f1704,plain,
( spl0_334
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f86,f484,f1702]) ).
fof(f1706,definition,
( spl0_335
<=> c0_1(a1724) ),
introduced(definition,[new_symbols(definition,[spl0_335])],[avatar_definition]) ).
fof(f1708,plain,
( spl0_335
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f85,f484,f1706]) ).
fof(f1713,plain,
( spl0_200
| spl0_72
| spl0_38 ),
inference(avatar_split_clause,[],[f83,f495,f619,f1152]) ).
fof(f1717,plain,
( spl0_159
| spl0_155
| spl0_222 ),
inference(avatar_split_clause,[],[f82,f1245,f961,f976]) ).
fof(f1721,plain,
( spl0_219
| spl0_216
| spl0_145 ),
inference(avatar_split_clause,[],[f81,f919,f1223,f1234]) ).
fof(f1724,plain,
( spl0_125
| spl0_122
| spl0_89 ),
inference(avatar_split_clause,[],[f80,f681,f822,f833]) ).
fof(f1758,plain,
( spl0_3
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f53,f919,f372]) ).
fof(f1799,plain,
( spl0_3
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f12,f1223,f372]) ).
fof(f1800,plain,
( spl0_3
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f11,f1234,f372]) ).
fof(f1820,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f383,f370]) ).
fof(f1825,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_2
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f1820]) ).
fof(f1850,plain,
( c0_1(a1663)
| c3_1(a1663)
| ~ spl0_11
| spl0_116 ),
inference(resolution,[],[f400,f796]) ).
fof(f1851,plain,
( c0_1(a1693)
| c3_1(a1693)
| ~ spl0_11
| spl0_156 ),
inference(resolution,[],[f400,f965]) ).
fof(f1857,plain,
( spl0_115
| spl0_114
| ~ spl0_11
| spl0_116 ),
inference(avatar_split_clause,[],[f1850,f795,f399,f787,f791]) ).
fof(f1873,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_2
| ~ spl0_12 ),
inference(resolution,[],[f403,f370]) ).
fof(f1880,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_2
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f1873]) ).
fof(f1888,plain,
( spl0_13
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1880,f402,f369,f405]) ).
fof(f1950,definition,
( spl0_343
<=> c2_1(a1660) ),
introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).
fof(f1958,plain,
( ~ c3_1(a1655)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_240 ),
inference(resolution,[],[f1325,f1825]) ).
fof(f2013,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_6
| ~ spl0_24 ),
inference(resolution,[],[f445,f383]) ).
fof(f2015,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_6
| ~ spl0_24 ),
inference(duplicate_literal_removal,[],[f2013]) ).
fof(f2025,plain,
( c3_1(a1705)
| ~ c2_1(a1705)
| ~ spl0_26
| spl0_171 ),
inference(resolution,[],[f452,f1026]) ).
fof(f2026,plain,
( c3_1(a1694)
| ~ c2_1(a1694)
| ~ spl0_26
| spl0_161 ),
inference(resolution,[],[f452,f984]) ).
fof(f2028,plain,
( c3_1(a1671)
| ~ c2_1(a1671)
| ~ spl0_26
| spl0_124 ),
inference(resolution,[],[f452,f830]) ).
fof(f2039,plain,
( ~ c2_1(a1660)
| spl0_343 ),
inference(avatar_component_clause,[],[f1950]) ).
fof(f2051,plain,
( ~ spl0_265
| spl0_172
| ~ spl0_26
| spl0_171 ),
inference(avatar_split_clause,[],[f2025,f1025,f451,f1029,f1424]) ).
fof(f2106,definition,
( spl0_349
<=> c0_1(a1674) ),
introduced(definition,[new_symbols(definition,[spl0_349])],[avatar_definition]) ).
fof(f2116,plain,
( ~ c3_1(a1665)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_304 ),
inference(resolution,[],[f1582,f1825]) ).
fof(f2117,plain,
( ~ spl0_303
| ~ spl0_2
| ~ spl0_6
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f2116,f1581,f382,f369,f1577]) ).
fof(f2131,plain,
( c0_1(a1677)
| c2_1(a1677)
| ~ spl0_16
| spl0_127 ),
inference(resolution,[],[f842,f417]) ).
fof(f2135,definition,
( spl0_350
<=> c3_1(a1677) ),
introduced(definition,[new_symbols(definition,[spl0_350])],[avatar_definition]) ).
fof(f2139,plain,
( spl0_128
| spl0_129
| ~ spl0_16
| spl0_127 ),
inference(avatar_split_clause,[],[f2131,f841,f416,f849,f845]) ).
fof(f2145,definition,
( spl0_351
<=> c3_1(a1678) ),
introduced(definition,[new_symbols(definition,[spl0_351])],[avatar_definition]) ).
fof(f2149,plain,
( c0_1(a1678)
| c2_1(a1678)
| ~ spl0_16
| spl0_131 ),
inference(resolution,[],[f859,f417]) ).
fof(f2150,plain,
( ~ c3_1(a1678)
| c0_1(a1678)
| ~ spl0_7
| spl0_131 ),
inference(resolution,[],[f859,f386]) ).
fof(f2154,plain,
( spl0_130
| spl0_132
| ~ spl0_16
| spl0_131 ),
inference(avatar_split_clause,[],[f2149,f858,f416,f862,f854]) ).
fof(f2160,plain,
( spl0_13
| ~ spl0_6
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f2015,f444,f382,f405]) ).
fof(f2167,plain,
( ~ spl0_241
| ~ spl0_2
| ~ spl0_6
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f1958,f1324,f382,f369,f1328]) ).
fof(f2170,plain,
( ~ spl0_256
| spl0_160
| ~ spl0_26
| spl0_161 ),
inference(avatar_split_clause,[],[f2026,f983,f451,f979,f1388]) ).
fof(f2172,plain,
( ~ spl0_247
| spl0_123
| ~ spl0_26
| spl0_124 ),
inference(avatar_split_clause,[],[f2028,f829,f451,f825,f1352]) ).
fof(f2200,definition,
( spl0_353
<=> c2_1(a1667) ),
introduced(definition,[new_symbols(definition,[spl0_353])],[avatar_definition]) ).
fof(f2254,definition,
( spl0_357
<=> c0_1(a1661) ),
introduced(definition,[new_symbols(definition,[spl0_357])],[avatar_definition]) ).
fof(f2266,definition,
( spl0_359
<=> c3_1(a1692) ),
introduced(definition,[new_symbols(definition,[spl0_359])],[avatar_definition]) ).
fof(f2332,plain,
( ~ c0_1(a1692)
| c2_1(a1692)
| ~ spl0_4
| spl0_224 ),
inference(resolution,[],[f376,f1253]) ).
fof(f2409,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f390,f370]) ).
fof(f2414,plain,
( ~ c2_1(a1667)
| ~ c3_1(a1667)
| ~ spl0_8
| spl0_121 ),
inference(resolution,[],[f390,f819]) ).
fof(f2415,plain,
( ~ c2_1(a1666)
| ~ c3_1(a1666)
| ~ spl0_8
| spl0_120 ),
inference(resolution,[],[f390,f814]) ).
fof(f2420,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_2
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f2409]) ).
fof(f2426,plain,
( ~ spl0_243
| ~ spl0_244
| ~ spl0_8
| spl0_120 ),
inference(avatar_split_clause,[],[f2415,f813,f389,f1340,f1336]) ).
fof(f2428,plain,
( ~ spl0_245
| ~ spl0_353
| ~ spl0_8
| spl0_121 ),
inference(avatar_split_clause,[],[f2414,f818,f389,f2200,f1344]) ).
fof(f2433,plain,
( spl0_13
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f2420,f389,f369,f405]) ).
fof(f2437,definition,
( spl0_367
<=> c0_1(a1691) ),
introduced(definition,[new_symbols(definition,[spl0_367])],[avatar_definition]) ).
fof(f2471,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_5
| ~ spl0_14 ),
inference(resolution,[],[f410,f380]) ).
fof(f2485,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_5
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f2471]) ).
fof(f2492,plain,
( spl0_17
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f2485,f409,f379,f419]) ).
fof(f2501,plain,
( c3_1(a1695)
| ~ c0_1(a1695)
| ~ spl0_17
| ~ spl0_258 ),
inference(resolution,[],[f420,f1397]) ).
fof(f2512,plain,
( ~ spl0_257
| spl0_162
| ~ spl0_17
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f2501,f1396,f419,f988,f1392]) ).
fof(f2524,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_6
| ~ spl0_20 ),
inference(resolution,[],[f430,f383]) ).
fof(f2525,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| c0_1(X0)
| c2_1(X0) )
| ~ spl0_16
| ~ spl0_20 ),
inference(resolution,[],[f430,f417]) ).
fof(f2533,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| c0_1(X0) )
| ~ spl0_16
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f2525]) ).
fof(f2534,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_6
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f2524]) ).
fof(f2549,plain,
( spl0_9
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f2533,f429,f416,f392]) ).
fof(f2559,plain,
( c0_1(a1661)
| c3_1(a1661)
| ~ spl0_11
| spl0_205 ),
inference(resolution,[],[f1172,f400]) ).
fof(f2560,plain,
( spl0_204
| spl0_357
| ~ spl0_11
| spl0_205 ),
inference(avatar_split_clause,[],[f2559,f1171,f399,f2254,f1167]) ).
fof(f2563,plain,
( c0_1(a1674)
| ~ c3_1(a1674)
| ~ spl0_9
| spl0_212 ),
inference(resolution,[],[f393,f1206]) ).
fof(f2569,plain,
( c0_1(a1704)
| ~ c3_1(a1704)
| ~ spl0_9
| spl0_169 ),
inference(resolution,[],[f393,f1017]) ).
fof(f2576,plain,
( c0_1(a1677)
| ~ c3_1(a1677)
| ~ spl0_9
| spl0_128 ),
inference(resolution,[],[f393,f846]) ).
fof(f2578,plain,
( ~ spl0_350
| spl0_129
| ~ spl0_9
| spl0_128 ),
inference(avatar_split_clause,[],[f2576,f845,f392,f849,f2135]) ).
fof(f2582,plain,
( ~ spl0_264
| spl0_170
| ~ spl0_9
| spl0_169 ),
inference(avatar_split_clause,[],[f2569,f1016,f392,f1020,f1420]) ).
fof(f2601,plain,
( ~ c0_1(a1654)
| ~ c3_1(a1654)
| ~ spl0_13
| ~ spl0_294 ),
inference(resolution,[],[f406,f1542]) ).
fof(f2626,plain,
( c2_1(a1725)
| ~ c3_1(a1725)
| ~ spl0_20
| ~ spl0_271 ),
inference(resolution,[],[f430,f1449]) ).
fof(f2664,plain,
( c0_1(a1672)
| ~ c3_1(a1672)
| ~ spl0_32
| ~ spl0_248 ),
inference(resolution,[],[f473,f1357]) ).
fof(f2669,plain,
( ~ spl0_249
| spl0_126
| ~ spl0_32
| ~ spl0_248 ),
inference(avatar_split_clause,[],[f2664,f1356,f472,f836,f1360]) ).
fof(f2687,plain,
( c2_1(a1661)
| ~ c0_1(a1661)
| ~ spl0_37
| ~ spl0_300 ),
inference(resolution,[],[f492,f1566]) ).
fof(f2733,plain,
( c2_1(a1667)
| ~ c3_1(a1667)
| ~ spl0_1
| spl0_121 ),
inference(resolution,[],[f367,f819]) ).
fof(f2743,plain,
( ~ spl0_245
| spl0_353
| ~ spl0_1
| spl0_121 ),
inference(avatar_split_clause,[],[f2733,f818,f366,f2200,f1344]) ).
fof(f2755,plain,
( ~ c0_1(a1691)
| c3_1(a1691)
| ~ spl0_30
| spl0_152 ),
inference(resolution,[],[f466,f950]) ).
fof(f2769,plain,
( ~ spl0_357
| spl0_205
| ~ spl0_37
| ~ spl0_300 ),
inference(avatar_split_clause,[],[f2687,f1565,f491,f1171,f2254]) ).
fof(f2780,plain,
( spl0_223
| ~ spl0_317
| ~ spl0_4
| spl0_224 ),
inference(avatar_split_clause,[],[f2332,f1252,f375,f1633,f1248]) ).
fof(f2787,plain,
( c2_1(a1643)
| ~ c3_1(a1643)
| ~ spl0_1
| spl0_93 ),
inference(resolution,[],[f699,f367]) ).
fof(f2795,plain,
( ~ spl0_236
| spl0_92
| ~ spl0_1
| spl0_93 ),
inference(avatar_split_clause,[],[f2787,f698,f366,f694,f1308]) ).
fof(f2836,plain,
( spl0_154
| ~ spl0_367
| ~ spl0_30
| spl0_152 ),
inference(avatar_split_clause,[],[f2755,f949,f465,f2437,f957]) ).
fof(f2863,plain,
( c2_1(a1715)
| ~ c3_1(a1715)
| ~ spl0_20
| ~ spl0_329 ),
inference(resolution,[],[f1683,f430]) ).
fof(f2865,plain,
( ~ spl0_328
| spl0_230
| ~ spl0_20
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f2863,f1682,f429,f1281,f1678]) ).
fof(f2871,plain,
( ~ c0_1(a1667)
| c2_1(a1667)
| ~ spl0_4
| spl0_121 ),
inference(resolution,[],[f376,f819]) ).
fof(f2874,plain,
( ~ c0_1(a1691)
| c2_1(a1691)
| ~ spl0_4
| spl0_153 ),
inference(resolution,[],[f376,f954]) ).
fof(f2878,plain,
( spl0_152
| ~ spl0_367
| ~ spl0_4
| spl0_153 ),
inference(avatar_split_clause,[],[f2874,f953,f375,f2437,f949]) ).
fof(f2879,plain,
( spl0_353
| ~ spl0_246
| ~ spl0_4
| spl0_121 ),
inference(avatar_split_clause,[],[f2871,f818,f375,f1348,f2200]) ).
fof(f2890,plain,
( ~ c3_1(a1677)
| c0_1(a1677)
| ~ spl0_7
| spl0_127 ),
inference(resolution,[],[f386,f842]) ).
fof(f2893,plain,
( spl0_129
| ~ spl0_350
| ~ spl0_7
| spl0_127 ),
inference(avatar_split_clause,[],[f2890,f841,f385,f2135,f849]) ).
fof(f2904,plain,
( ~ c0_1(a1714)
| ~ c2_1(a1714)
| ~ spl0_12
| spl0_179 ),
inference(resolution,[],[f403,f1061]) ).
fof(f2905,plain,
( ~ c0_1(a1667)
| ~ c2_1(a1667)
| ~ spl0_12
| spl0_121 ),
inference(resolution,[],[f403,f819]) ).
fof(f2923,plain,
( spl0_157
| spl0_158
| ~ spl0_11
| spl0_156 ),
inference(avatar_split_clause,[],[f1851,f964,f399,f972,f968]) ).
fof(f2943,plain,
( c3_1(a1660)
| ~ c2_1(a1660)
| ~ spl0_26
| spl0_111 ),
inference(resolution,[],[f775,f452]) ).
fof(f2955,plain,
( c2_1(a1692)
| ~ c3_1(a1692)
| ~ spl0_1
| spl0_224 ),
inference(resolution,[],[f1253,f367]) ).
fof(f2957,plain,
( ~ spl0_359
| spl0_223
| ~ spl0_1
| spl0_224 ),
inference(avatar_split_clause,[],[f2955,f1252,f366,f1248,f2266]) ).
fof(f2991,plain,
( c3_1(a1692)
| c2_1(a1692)
| ~ spl0_15
| spl0_224 ),
inference(resolution,[],[f414,f1253]) ).
fof(f3000,plain,
( c3_1(a1691)
| c2_1(a1691)
| ~ spl0_15
| spl0_153 ),
inference(resolution,[],[f414,f954]) ).
fof(f3001,plain,
( c3_1(a1677)
| c2_1(a1677)
| ~ spl0_15
| spl0_127 ),
inference(resolution,[],[f414,f842]) ).
fof(f3007,plain,
( spl0_128
| spl0_350
| ~ spl0_15
| spl0_127 ),
inference(avatar_split_clause,[],[f3001,f841,f413,f2135,f845]) ).
fof(f3008,plain,
( spl0_152
| spl0_154
| ~ spl0_15
| spl0_153 ),
inference(avatar_split_clause,[],[f3000,f953,f413,f957,f949]) ).
fof(f3012,plain,
( spl0_223
| spl0_359
| ~ spl0_15
| spl0_224 ),
inference(avatar_split_clause,[],[f2991,f1252,f413,f2266,f1248]) ).
fof(f3020,plain,
( spl0_132
| ~ spl0_351
| ~ spl0_7
| spl0_131 ),
inference(avatar_split_clause,[],[f2150,f858,f385,f2145,f862]) ).
fof(f3026,plain,
( ~ spl0_267
| ~ spl0_266
| ~ spl0_12
| spl0_179 ),
inference(avatar_split_clause,[],[f2904,f1060,f402,f1428,f1432]) ).
fof(f3027,plain,
( ~ spl0_353
| ~ spl0_246
| ~ spl0_12
| spl0_121 ),
inference(avatar_split_clause,[],[f2905,f818,f402,f1348,f2200]) ).
fof(f3030,plain,
( ~ spl0_293
| ~ spl0_295
| ~ spl0_13
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f2601,f1541,f405,f1545,f1536]) ).
fof(f3042,plain,
( ~ spl0_310
| spl0_349
| ~ spl0_9
| spl0_212 ),
inference(avatar_split_clause,[],[f2563,f1205,f392,f2106,f1605]) ).
fof(f3059,plain,
( c0_1(a1678)
| ~ c3_1(a1678)
| ~ spl0_9
| spl0_130 ),
inference(resolution,[],[f855,f393]) ).
fof(f3060,plain,
( ~ spl0_351
| spl0_132
| ~ spl0_9
| spl0_130 ),
inference(avatar_split_clause,[],[f3059,f854,f392,f862,f2145]) ).
fof(f3061,plain,
( c3_1(a1678)
| c2_1(a1678)
| ~ spl0_15
| spl0_131 ),
inference(resolution,[],[f859,f414]) ).
fof(f3062,plain,
( spl0_130
| spl0_351
| ~ spl0_15
| spl0_131 ),
inference(avatar_split_clause,[],[f3061,f858,f413,f2145,f854]) ).
fof(f3073,plain,
( spl0_10
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f2534,f429,f382,f395]) ).
fof(f3116,plain,
( ~ spl0_270
| spl0_184
| ~ spl0_20
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f2626,f1448,f429,f1083,f1444]) ).
fof(f3123,plain,
( ~ spl0_343
| spl0_113
| ~ spl0_26
| spl0_111 ),
inference(avatar_split_clause,[],[f2943,f774,f451,f782,f1950]) ).
fof(f3155,plain,
( ~ c0_1(a1674)
| ~ c3_1(a1674)
| ~ spl0_6
| spl0_213 ),
inference(resolution,[],[f383,f1210]) ).
fof(f3161,plain,
( ~ c0_1(a1667)
| ~ c3_1(a1667)
| ~ spl0_6
| spl0_121 ),
inference(resolution,[],[f383,f819]) ).
fof(f3177,plain,
( ~ spl0_245
| ~ spl0_246
| ~ spl0_6
| spl0_121 ),
inference(avatar_split_clause,[],[f3161,f818,f382,f1348,f1344]) ).
fof(f3180,plain,
( ~ spl0_310
| ~ spl0_349
| ~ spl0_6
| spl0_213 ),
inference(avatar_split_clause,[],[f3155,f1209,f382,f2106,f1605]) ).
fof(f3182,plain,
( ~ c0_1(a1724)
| ~ c3_1(a1724)
| ~ spl0_10
| spl0_233 ),
inference(resolution,[],[f396,f1297]) ).
fof(f3193,plain,
( ~ c0_1(a1655)
| ~ c3_1(a1655)
| ~ spl0_10
| spl0_107 ),
inference(resolution,[],[f396,f759]) ).
fof(f3202,plain,
( ~ spl0_241
| ~ spl0_240
| ~ spl0_10
| spl0_107 ),
inference(avatar_split_clause,[],[f3193,f758,f395,f1324,f1328]) ).
fof(f3210,plain,
( ~ spl0_334
| ~ spl0_335
| ~ spl0_10
| spl0_233 ),
inference(avatar_split_clause,[],[f3182,f1296,f395,f1706,f1702]) ).
fof(f3253,plain,
( c0_1(a1691)
| c3_1(a1691)
| ~ spl0_11
| spl0_152 ),
inference(resolution,[],[f400,f950]) ).
fof(f3254,plain,
( c0_1(a1678)
| c3_1(a1678)
| ~ spl0_11
| spl0_130 ),
inference(resolution,[],[f400,f855]) ).
fof(f3255,plain,
( c0_1(a1677)
| c3_1(a1677)
| ~ spl0_11
| spl0_128 ),
inference(resolution,[],[f400,f846]) ).
fof(f3256,plain,
( c0_1(a1660)
| c3_1(a1660)
| ~ spl0_11
| spl0_343 ),
inference(resolution,[],[f400,f2039]) ).
fof(f3261,plain,
( spl0_113
| spl0_112
| ~ spl0_11
| spl0_343 ),
inference(avatar_split_clause,[],[f3256,f1950,f399,f778,f782]) ).
fof(f3262,plain,
( spl0_350
| spl0_129
| ~ spl0_11
| spl0_128 ),
inference(avatar_split_clause,[],[f3255,f845,f399,f849,f2135]) ).
fof(f3263,plain,
( spl0_351
| spl0_132
| ~ spl0_11
| spl0_130 ),
inference(avatar_split_clause,[],[f3254,f854,f399,f862,f2145]) ).
fof(f3264,plain,
( spl0_154
| spl0_367
| ~ spl0_11
| spl0_152 ),
inference(avatar_split_clause,[],[f3253,f949,f399,f2437,f957]) ).
fof(f3271,plain,
( c3_1(a1716)
| ~ c0_1(a1716)
| ~ spl0_17
| ~ spl0_331 ),
inference(resolution,[],[f420,f1691]) ).
fof(f3276,plain,
( c3_1(a1656)
| ~ c0_1(a1656)
| ~ spl0_17
| ~ spl0_297 ),
inference(resolution,[],[f420,f1554]) ).
fof(f3294,plain,
( ~ spl0_296
| spl0_201
| ~ spl0_17
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f3276,f1553,f419,f1155,f1549]) ).
fof(f3297,plain,
( ~ spl0_330
| spl0_231
| ~ spl0_17
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f3271,f1690,f419,f1286,f1686]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f377]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f387]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_11
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f407]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_9
| spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f411]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_15
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f421]) ).
cnf(s8,plain,
( spl0_2
| ~ spl0_3
| spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f435]) ).
cnf(s9,plain,
( ~ spl0_3
| spl0_8
| spl0_13
| spl0_22 ),
inference(sat_conversion,[],[f439]) ).
cnf(s11,plain,
( spl0_2
| ~ spl0_3
| spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f453]) ).
cnf(s14,plain,
( ~ spl0_3
| spl0_8
| spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f474]) ).
cnf(s15,plain,
( ~ spl0_3
| spl0_12
| spl0_20
| spl0_33 ),
inference(sat_conversion,[],[f478]) ).
cnf(s17,plain,
( spl0_1
| ~ spl0_3
| spl0_5
| spl0_35 ),
inference(sat_conversion,[],[f486]) ).
cnf(s18,plain,
( ~ spl0_3
| spl0_30
| spl0_36
| spl0_37 ),
inference(sat_conversion,[],[f493]) ).
cnf(s19,plain,
( ~ spl0_3
| spl0_6
| spl0_7
| spl0_38 ),
inference(sat_conversion,[],[f497]) ).
cnf(s23,plain,
( ~ spl0_3
| spl0_26
| spl0_30
| spl0_44 ),
inference(sat_conversion,[],[f519]) ).
cnf(s31,plain,
( ~ spl0_3
| spl0_4
| spl0_11
| spl0_56 ),
inference(sat_conversion,[],[f563]) ).
cnf(s33,plain,
( ~ spl0_3
| spl0_21
| spl0_24
| spl0_59 ),
inference(sat_conversion,[],[f574]) ).
cnf(s35,plain,
( ~ spl0_3
| spl0_10
| spl0_36
| spl0_62 ),
inference(sat_conversion,[],[f585]) ).
cnf(s37,plain,
( ~ spl0_3
| spl0_6
| spl0_65
| spl0_66 ),
inference(sat_conversion,[],[f599]) ).
cnf(s40,plain,
( ~ spl0_3
| spl0_17
| spl0_69
| spl0_70 ),
inference(sat_conversion,[],[f614]) ).
cnf(s41,plain,
( ~ spl0_3
| spl0_17
| spl0_71
| spl0_72 ),
inference(sat_conversion,[],[f621]) ).
cnf(s51,plain,
( ~ spl0_3
| spl0_11
| spl0_87
| spl0_88 ),
inference(sat_conversion,[],[f679]) ).
cnf(s54,plain,
( ~ spl0_56
| ~ spl0_92 ),
inference(sat_conversion,[],[f696]) ).
cnf(s55,plain,
( ~ spl0_56
| ~ spl0_93 ),
inference(sat_conversion,[],[f700]) ).
cnf(s68,plain,
( ~ spl0_71
| ~ spl0_107 ),
inference(sat_conversion,[],[f760]) ).
cnf(s71,plain,
( ~ spl0_70
| ~ spl0_111 ),
inference(sat_conversion,[],[f776]) ).
cnf(s72,plain,
( ~ spl0_70
| ~ spl0_112 ),
inference(sat_conversion,[],[f780]) ).
cnf(s73,plain,
( ~ spl0_70
| ~ spl0_113 ),
inference(sat_conversion,[],[f784]) ).
cnf(s74,plain,
( ~ spl0_89
| ~ spl0_114 ),
inference(sat_conversion,[],[f789]) ).
cnf(s75,plain,
( ~ spl0_89
| ~ spl0_115 ),
inference(sat_conversion,[],[f793]) ).
cnf(s76,plain,
( ~ spl0_89
| ~ spl0_116 ),
inference(sat_conversion,[],[f797]) ).
cnf(s80,plain,
( ~ spl0_59
| ~ spl0_120 ),
inference(sat_conversion,[],[f815]) ).
cnf(s81,plain,
( ~ spl0_21
| ~ spl0_121 ),
inference(sat_conversion,[],[f820]) ).
cnf(s82,plain,
( ~ spl0_122
| ~ spl0_123 ),
inference(sat_conversion,[],[f827]) ).
cnf(s83,plain,
( ~ spl0_122
| ~ spl0_124 ),
inference(sat_conversion,[],[f831]) ).
cnf(s84,plain,
( ~ spl0_125
| ~ spl0_126 ),
inference(sat_conversion,[],[f838]) ).
cnf(s85,plain,
( ~ spl0_66
| ~ spl0_127 ),
inference(sat_conversion,[],[f843]) ).
cnf(s86,plain,
( ~ spl0_66
| ~ spl0_128 ),
inference(sat_conversion,[],[f847]) ).
cnf(s87,plain,
( ~ spl0_66
| ~ spl0_129 ),
inference(sat_conversion,[],[f851]) ).
cnf(s88,plain,
( ~ spl0_65
| ~ spl0_130 ),
inference(sat_conversion,[],[f856]) ).
cnf(s89,plain,
( ~ spl0_65
| ~ spl0_131 ),
inference(sat_conversion,[],[f860]) ).
cnf(s90,plain,
( ~ spl0_65
| ~ spl0_132 ),
inference(sat_conversion,[],[f864]) ).
cnf(s109,plain,
( ~ spl0_22
| ~ spl0_152 ),
inference(sat_conversion,[],[f951]) ).
cnf(s110,plain,
( ~ spl0_22
| ~ spl0_153 ),
inference(sat_conversion,[],[f955]) ).
cnf(s111,plain,
( ~ spl0_22
| ~ spl0_154 ),
inference(sat_conversion,[],[f959]) ).
cnf(s112,plain,
( ~ spl0_155
| ~ spl0_156 ),
inference(sat_conversion,[],[f966]) ).
cnf(s113,plain,
( ~ spl0_155
| ~ spl0_157 ),
inference(sat_conversion,[],[f970]) ).
cnf(s114,plain,
( ~ spl0_155
| ~ spl0_158 ),
inference(sat_conversion,[],[f974]) ).
cnf(s115,plain,
( ~ spl0_159
| ~ spl0_160 ),
inference(sat_conversion,[],[f981]) ).
cnf(s116,plain,
( ~ spl0_159
| ~ spl0_161 ),
inference(sat_conversion,[],[f985]) ).
cnf(s117,plain,
( ~ spl0_38
| ~ spl0_162 ),
inference(sat_conversion,[],[f990]) ).
cnf(s122,plain,
( ~ spl0_62
| ~ spl0_169 ),
inference(sat_conversion,[],[f1018]) ).
cnf(s123,plain,
( ~ spl0_62
| ~ spl0_170 ),
inference(sat_conversion,[],[f1022]) ).
cnf(s124,plain,
( ~ spl0_33
| ~ spl0_171 ),
inference(sat_conversion,[],[f1027]) ).
cnf(s125,plain,
( ~ spl0_33
| ~ spl0_172 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s132,plain,
( ~ spl0_88
| ~ spl0_179 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s137,plain,
( ~ spl0_25
| ~ spl0_184 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s151,plain,
( ~ spl0_200
| ~ spl0_201 ),
inference(sat_conversion,[],[f1157]) ).
cnf(s153,plain,
( ~ spl0_69
| ~ spl0_204 ),
inference(sat_conversion,[],[f1169]) ).
cnf(s154,plain,
( ~ spl0_69
| ~ spl0_205 ),
inference(sat_conversion,[],[f1173]) ).
cnf(s161,plain,
( ~ spl0_36
| ~ spl0_212 ),
inference(sat_conversion,[],[f1207]) ).
cnf(s162,plain,
( ~ spl0_36
| ~ spl0_213 ),
inference(sat_conversion,[],[f1211]) ).
cnf(s169,plain,
( ~ spl0_222
| ~ spl0_223 ),
inference(sat_conversion,[],[f1250]) ).
cnf(s170,plain,
( ~ spl0_222
| ~ spl0_224 ),
inference(sat_conversion,[],[f1254]) ).
cnf(s176,plain,
( ~ spl0_87
| ~ spl0_230 ),
inference(sat_conversion,[],[f1283]) ).
cnf(s177,plain,
( ~ spl0_31
| ~ spl0_231 ),
inference(sat_conversion,[],[f1288]) ).
cnf(s179,plain,
( ~ spl0_35
| ~ spl0_233 ),
inference(sat_conversion,[],[f1298]) ).
cnf(s182,plain,
( ~ spl0_56
| spl0_236 ),
inference(sat_conversion,[],[f1310]) ).
cnf(s186,plain,
( ~ spl0_71
| spl0_240 ),
inference(sat_conversion,[],[f1326]) ).
cnf(s187,plain,
( ~ spl0_71
| spl0_241 ),
inference(sat_conversion,[],[f1330]) ).
cnf(s189,plain,
( ~ spl0_59
| spl0_243 ),
inference(sat_conversion,[],[f1338]) ).
cnf(s190,plain,
( ~ spl0_59
| spl0_244 ),
inference(sat_conversion,[],[f1342]) ).
cnf(s191,plain,
( ~ spl0_21
| spl0_245 ),
inference(sat_conversion,[],[f1346]) ).
cnf(s192,plain,
( ~ spl0_21
| spl0_246 ),
inference(sat_conversion,[],[f1350]) ).
cnf(s193,plain,
( ~ spl0_122
| spl0_247 ),
inference(sat_conversion,[],[f1354]) ).
cnf(s194,plain,
( ~ spl0_125
| spl0_248 ),
inference(sat_conversion,[],[f1358]) ).
cnf(s195,plain,
( ~ spl0_125
| spl0_249 ),
inference(sat_conversion,[],[f1362]) ).
cnf(s202,plain,
( ~ spl0_159
| spl0_256 ),
inference(sat_conversion,[],[f1390]) ).
cnf(s203,plain,
( ~ spl0_38
| spl0_257 ),
inference(sat_conversion,[],[f1394]) ).
cnf(s204,plain,
( ~ spl0_38
| spl0_258 ),
inference(sat_conversion,[],[f1398]) ).
cnf(s210,plain,
( ~ spl0_62
| spl0_264 ),
inference(sat_conversion,[],[f1422]) ).
cnf(s211,plain,
( ~ spl0_33
| spl0_265 ),
inference(sat_conversion,[],[f1426]) ).
cnf(s212,plain,
( ~ spl0_88
| spl0_266 ),
inference(sat_conversion,[],[f1430]) ).
cnf(s213,plain,
( ~ spl0_88
| spl0_267 ),
inference(sat_conversion,[],[f1434]) ).
cnf(s216,plain,
( ~ spl0_25
| spl0_270 ),
inference(sat_conversion,[],[f1446]) ).
cnf(s217,plain,
( ~ spl0_25
| spl0_271 ),
inference(sat_conversion,[],[f1450]) ).
cnf(s238,plain,
( ~ spl0_72
| spl0_293 ),
inference(sat_conversion,[],[f1539]) ).
cnf(s239,plain,
( ~ spl0_72
| spl0_294 ),
inference(sat_conversion,[],[f1543]) ).
cnf(s240,plain,
( ~ spl0_72
| spl0_295 ),
inference(sat_conversion,[],[f1547]) ).
cnf(s241,plain,
( ~ spl0_200
| spl0_296 ),
inference(sat_conversion,[],[f1551]) ).
cnf(s242,plain,
( ~ spl0_200
| spl0_297 ),
inference(sat_conversion,[],[f1555]) ).
cnf(s245,plain,
( ~ spl0_69
| spl0_300 ),
inference(sat_conversion,[],[f1567]) ).
cnf(s248,plain,
( ~ spl0_44
| spl0_303 ),
inference(sat_conversion,[],[f1579]) ).
cnf(s249,plain,
( ~ spl0_44
| spl0_304 ),
inference(sat_conversion,[],[f1583]) ).
cnf(s255,plain,
( ~ spl0_36
| spl0_310 ),
inference(sat_conversion,[],[f1607]) ).
cnf(s262,plain,
( ~ spl0_222
| spl0_317 ),
inference(sat_conversion,[],[f1635]) ).
cnf(s273,plain,
( ~ spl0_87
| spl0_328 ),
inference(sat_conversion,[],[f1680]) ).
cnf(s274,plain,
( ~ spl0_87
| spl0_329 ),
inference(sat_conversion,[],[f1684]) ).
cnf(s275,plain,
( ~ spl0_31
| spl0_330 ),
inference(sat_conversion,[],[f1688]) ).
cnf(s276,plain,
( ~ spl0_31
| spl0_331 ),
inference(sat_conversion,[],[f1692]) ).
cnf(s279,plain,
( ~ spl0_35
| spl0_334 ),
inference(sat_conversion,[],[f1704]) ).
cnf(s280,plain,
( ~ spl0_35
| spl0_335 ),
inference(sat_conversion,[],[f1708]) ).
cnf(s282,plain,
( spl0_38
| spl0_72
| spl0_200 ),
inference(sat_conversion,[],[f1713]) ).
cnf(s283,plain,
( spl0_155
| spl0_159
| spl0_222 ),
inference(sat_conversion,[],[f1717]) ).
cnf(s284,plain,
( spl0_145
| spl0_216
| spl0_219 ),
inference(sat_conversion,[],[f1721]) ).
cnf(s285,plain,
( spl0_89
| spl0_122
| spl0_125 ),
inference(sat_conversion,[],[f1724]) ).
cnf(s312,plain,
( spl0_3
| ~ spl0_145 ),
inference(sat_conversion,[],[f1758]) ).
cnf(s353,plain,
( spl0_3
| ~ spl0_216 ),
inference(sat_conversion,[],[f1799]) ).
cnf(s354,plain,
( spl0_3
| ~ spl0_219 ),
inference(sat_conversion,[],[f1800]) ).
cnf(s370,plain,
( ~ spl0_11
| spl0_114
| spl0_115
| spl0_116 ),
inference(sat_conversion,[],[f1857]) ).
cnf(s376,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f1888]) ).
cnf(s407,plain,
( ~ spl0_26
| spl0_171
| spl0_172
| ~ spl0_265 ),
inference(sat_conversion,[],[f2051]) ).
cnf(s422,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_303
| ~ spl0_304 ),
inference(sat_conversion,[],[f2117]) ).
cnf(s430,plain,
( ~ spl0_16
| spl0_127
| spl0_128
| spl0_129 ),
inference(sat_conversion,[],[f2139]) ).
cnf(s434,plain,
( ~ spl0_16
| spl0_130
| spl0_131
| spl0_132 ),
inference(sat_conversion,[],[f2154]) ).
cnf(s439,plain,
( ~ spl0_6
| spl0_13
| ~ spl0_24 ),
inference(sat_conversion,[],[f2160]) ).
cnf(s448,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_240
| ~ spl0_241 ),
inference(sat_conversion,[],[f2167]) ).
cnf(s451,plain,
( ~ spl0_26
| spl0_160
| spl0_161
| ~ spl0_256 ),
inference(sat_conversion,[],[f2170]) ).
cnf(s453,plain,
( ~ spl0_26
| spl0_123
| spl0_124
| ~ spl0_247 ),
inference(sat_conversion,[],[f2172]) ).
cnf(s540,plain,
( ~ spl0_8
| spl0_120
| ~ spl0_243
| ~ spl0_244 ),
inference(sat_conversion,[],[f2426]) ).
cnf(s541,plain,
( ~ spl0_8
| spl0_121
| ~ spl0_245
| ~ spl0_353 ),
inference(sat_conversion,[],[f2428]) ).
cnf(s544,plain,
( ~ spl0_2
| ~ spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f2433]) ).
cnf(s561,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f2492]) ).
cnf(s565,plain,
( ~ spl0_17
| spl0_162
| ~ spl0_257
| ~ spl0_258 ),
inference(sat_conversion,[],[f2512]) ).
cnf(s574,plain,
( spl0_9
| ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f2549]) ).
cnf(s585,plain,
( ~ spl0_11
| spl0_204
| spl0_205
| spl0_357 ),
inference(sat_conversion,[],[f2560]) ).
cnf(s586,plain,
( ~ spl0_9
| spl0_128
| spl0_129
| ~ spl0_350 ),
inference(sat_conversion,[],[f2578]) ).
cnf(s589,plain,
( ~ spl0_9
| spl0_169
| spl0_170
| ~ spl0_264 ),
inference(sat_conversion,[],[f2582]) ).
cnf(s607,plain,
( ~ spl0_32
| spl0_126
| ~ spl0_248
| ~ spl0_249 ),
inference(sat_conversion,[],[f2669]) ).
cnf(s631,plain,
( ~ spl0_1
| spl0_121
| ~ spl0_245
| spl0_353 ),
inference(sat_conversion,[],[f2743]) ).
cnf(s647,plain,
( ~ spl0_37
| spl0_205
| ~ spl0_300
| ~ spl0_357 ),
inference(sat_conversion,[],[f2769]) ).
cnf(s651,plain,
( ~ spl0_4
| spl0_223
| spl0_224
| ~ spl0_317 ),
inference(sat_conversion,[],[f2780]) ).
cnf(s661,plain,
( ~ spl0_1
| spl0_92
| spl0_93
| ~ spl0_236 ),
inference(sat_conversion,[],[f2795]) ).
cnf(s677,plain,
( ~ spl0_30
| spl0_152
| spl0_154
| ~ spl0_367 ),
inference(sat_conversion,[],[f2836]) ).
cnf(s695,plain,
( ~ spl0_20
| spl0_230
| ~ spl0_328
| ~ spl0_329 ),
inference(sat_conversion,[],[f2865]) ).
cnf(s696,plain,
( ~ spl0_4
| spl0_152
| spl0_153
| ~ spl0_367 ),
inference(sat_conversion,[],[f2878]) ).
cnf(s697,plain,
( ~ spl0_4
| spl0_121
| ~ spl0_246
| spl0_353 ),
inference(sat_conversion,[],[f2879]) ).
cnf(s699,plain,
( ~ spl0_7
| spl0_127
| spl0_129
| ~ spl0_350 ),
inference(sat_conversion,[],[f2893]) ).
cnf(s718,plain,
( ~ spl0_11
| spl0_156
| spl0_157
| spl0_158 ),
inference(sat_conversion,[],[f2923]) ).
cnf(s740,plain,
( ~ spl0_1
| spl0_223
| spl0_224
| ~ spl0_359 ),
inference(sat_conversion,[],[f2957]) ).
cnf(s753,plain,
( ~ spl0_15
| spl0_127
| spl0_128
| spl0_350 ),
inference(sat_conversion,[],[f3007]) ).
cnf(s754,plain,
( ~ spl0_15
| spl0_152
| spl0_153
| spl0_154 ),
inference(sat_conversion,[],[f3008]) ).
cnf(s758,plain,
( ~ spl0_15
| spl0_223
| spl0_224
| spl0_359 ),
inference(sat_conversion,[],[f3012]) ).
cnf(s767,plain,
( ~ spl0_7
| spl0_131
| spl0_132
| ~ spl0_351 ),
inference(sat_conversion,[],[f3020]) ).
cnf(s773,plain,
( ~ spl0_12
| spl0_179
| ~ spl0_266
| ~ spl0_267 ),
inference(sat_conversion,[],[f3026]) ).
cnf(s774,plain,
( ~ spl0_12
| spl0_121
| ~ spl0_246
| ~ spl0_353 ),
inference(sat_conversion,[],[f3027]) ).
cnf(s777,plain,
( ~ spl0_13
| ~ spl0_293
| ~ spl0_294
| ~ spl0_295 ),
inference(sat_conversion,[],[f3030]) ).
cnf(s789,plain,
( ~ spl0_9
| spl0_212
| ~ spl0_310
| spl0_349 ),
inference(sat_conversion,[],[f3042]) ).
cnf(s796,plain,
( ~ spl0_9
| spl0_130
| spl0_132
| ~ spl0_351 ),
inference(sat_conversion,[],[f3060]) ).
cnf(s797,plain,
( ~ spl0_15
| spl0_130
| spl0_131
| spl0_351 ),
inference(sat_conversion,[],[f3062]) ).
cnf(s811,plain,
( ~ spl0_6
| spl0_10
| ~ spl0_20 ),
inference(sat_conversion,[],[f3073]) ).
cnf(s856,plain,
( ~ spl0_20
| spl0_184
| ~ spl0_270
| ~ spl0_271 ),
inference(sat_conversion,[],[f3116]) ).
cnf(s863,plain,
( ~ spl0_26
| spl0_111
| spl0_113
| ~ spl0_343 ),
inference(sat_conversion,[],[f3123]) ).
cnf(s882,plain,
( ~ spl0_6
| spl0_121
| ~ spl0_245
| ~ spl0_246 ),
inference(sat_conversion,[],[f3177]) ).
cnf(s885,plain,
( ~ spl0_6
| spl0_213
| ~ spl0_310
| ~ spl0_349 ),
inference(sat_conversion,[],[f3180]) ).
cnf(s889,plain,
( ~ spl0_10
| spl0_107
| ~ spl0_240
| ~ spl0_241 ),
inference(sat_conversion,[],[f3202]) ).
cnf(s895,plain,
( ~ spl0_10
| spl0_233
| ~ spl0_334
| ~ spl0_335 ),
inference(sat_conversion,[],[f3210]) ).
cnf(s910,plain,
( ~ spl0_11
| spl0_112
| spl0_113
| spl0_343 ),
inference(sat_conversion,[],[f3261]) ).
cnf(s911,plain,
( ~ spl0_11
| spl0_128
| spl0_129
| spl0_350 ),
inference(sat_conversion,[],[f3262]) ).
cnf(s912,plain,
( ~ spl0_11
| spl0_130
| spl0_132
| spl0_351 ),
inference(sat_conversion,[],[f3263]) ).
cnf(s913,plain,
( ~ spl0_11
| spl0_152
| spl0_154
| spl0_367 ),
inference(sat_conversion,[],[f3264]) ).
cnf(s918,plain,
( ~ spl0_17
| spl0_201
| ~ spl0_296
| ~ spl0_297 ),
inference(sat_conversion,[],[f3294]) ).
cnf(s919,plain,
( ~ spl0_17
| spl0_231
| ~ spl0_330
| ~ spl0_331 ),
inference(sat_conversion,[],[f3297]) ).
cnf(s921,plain,
spl0_3,
inference(rat,[],[s284,s312,s353,s354]) ).
cnf(s922,plain,
( ~ spl0_62
| ~ spl0_9 ),
inference(rat,[],[s589,s122,s123,s210]) ).
cnf(s924,plain,
( ~ spl0_200
| ~ spl0_17 ),
inference(rat,[],[s918,s151,s241,s242]) ).
cnf(s925,plain,
( ~ spl0_72
| ~ spl0_13 ),
inference(rat,[],[s777,s238,s239,s240]) ).
cnf(s926,plain,
( ~ spl0_17
| spl0_72 ),
inference(rat,[],[s565,s117,s203,s204,s282,s924]) ).
cnf(s930,plain,
( ~ spl0_66
| ~ spl0_16 ),
inference(rat,[],[s430,s85,s86,s87]) ).
cnf(s931,plain,
( ~ spl0_16
| spl0_6 ),
inference(rat,[],[s434,s88,s89,s90,s37,s930,s921]) ).
cnf(s932,plain,
( ~ spl0_66
| ~ spl0_15
| ~ spl0_9 ),
inference(rat,[],[s753,s586,s85,s86,s87]) ).
cnf(s934,plain,
( ~ spl0_21
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s697,s774,s81,s192]) ).
cnf(s936,plain,
( ~ spl0_25
| ~ spl0_20 ),
inference(rat,[],[s856,s137,s216,s217]) ).
cnf(s937,plain,
( ~ spl0_33
| ~ spl0_26 ),
inference(rat,[],[s407,s124,s125,s211]) ).
cnf(s940,plain,
( ~ spl0_66
| ~ spl0_15
| ~ spl0_7 ),
inference(rat,[],[s699,s753,s85,s86,s87]) ).
cnf(s941,plain,
( ~ spl0_15
| ~ spl0_7
| spl0_6 ),
inference(rat,[],[s797,s767,s88,s89,s90,s37,s940,s921]) ).
cnf(s943,plain,
( ~ spl0_88
| ~ spl0_12 ),
inference(rat,[],[s773,s132,s212,s213]) ).
cnf(s944,plain,
( spl0_11
| spl0_13
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s695,s176,s273,s274,s51,s943,s8,s934,s4,s921]) ).
cnf(s945,plain,
( ~ spl0_66
| ~ spl0_11
| ~ spl0_7 ),
inference(rat,[],[s699,s911,s85,s86,s87]) ).
cnf(s946,plain,
( spl0_6
| spl0_5
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s912,s767,s88,s89,s90,s37,s945,s944,s925,s926,s6,s941,s931,s2,s921]) ).
cnf(s947,plain,
( spl0_5
| spl0_2
| spl0_1 ),
inference(rat,[],[s882,s81,s191,s192,s8,s811,s946,s895,s179,s279,s280,s17,s1,s921]) ).
cnf(s948,plain,
( ~ spl0_38
| ~ spl0_17 ),
inference(rat,[],[s565,s117,s203,s204]) ).
cnf(s949,plain,
( spl0_6
| spl0_38
| ~ spl0_11 ),
inference(rat,[],[s912,s767,s88,s89,s90,s37,s945,s19,s921]) ).
cnf(s950,plain,
( ~ spl0_21
| ~ spl0_6 ),
inference(rat,[],[s882,s81,s191,s192]) ).
cnf(s951,plain,
( ~ spl0_22
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s696,s913,s109,s110,s111]) ).
cnf(s952,plain,
( ~ spl0_59
| ~ spl0_8 ),
inference(rat,[],[s540,s80,s189,s190]) ).
cnf(s957,plain,
( ~ spl0_70
| ~ spl0_26
| ~ spl0_11 ),
inference(rat,[],[s863,s910,s71,s72,s73]) ).
cnf(s959,plain,
( ~ spl0_71
| ~ spl0_10 ),
inference(rat,[],[s889,s68,s186,s187]) ).
cnf(s963,plain,
( ~ spl0_222
| ~ spl0_4 ),
inference(rat,[],[s651,s169,s170,s262]) ).
cnf(s964,plain,
( ~ spl0_159
| ~ spl0_26 ),
inference(rat,[],[s451,s115,s116,s202]) ).
cnf(s965,plain,
( ~ spl0_155
| ~ spl0_11 ),
inference(rat,[],[s718,s112,s113,s114]) ).
cnf(s966,plain,
( spl0_13
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s541,s697,s81,s191,s192,s8,s936,s11,s964,s283,s965,s9,s951,s944,s963,s921]) ).
cnf(s967,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s797,s796,s88,s89,s90,s37,s932,s6,s931,s885,s789,s161,s162,s255,s35,s922,s5,s959,s561,s41,s926,s925,s966,s947,s1,s921]) ).
cnf(s970,plain,
( ~ spl0_36
| ~ spl0_9
| ~ spl0_6 ),
inference(rat,[],[s789,s885,s161,s162,s255]) ).
cnf(s971,plain,
( ~ spl0_69
| ~ spl0_37
| ~ spl0_11 ),
inference(rat,[],[s585,s647,s153,s154,s245]) ).
cnf(s972,plain,
( ~ spl0_44
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s422,s248,s249]) ).
cnf(s973,plain,
( spl0_17
| spl0_13
| ~ spl0_2 ),
inference(rat,[],[s18,s970,s971,s574,s40,s15,s957,s937,s23,s972,s931,s6,s754,s110,s677,s913,s4,s376,s111,s109,s9,s544,s921]) ).
cnf(s974,plain,
( ~ spl0_31
| ~ spl0_17 ),
inference(rat,[],[s919,s177,s275,s276]) ).
cnf(s976,plain,
( ~ spl0_125
| ~ spl0_32 ),
inference(rat,[],[s607,s84,s194,s195]) ).
cnf(s977,plain,
( ~ spl0_89
| ~ spl0_11 ),
inference(rat,[],[s370,s74,s75,s76]) ).
cnf(s978,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s453,s82,s83,s193,s285,s977,s976,s14,s974,s23,s972,s949,s948,s973,s677,s913,s109,s111,s4,s9,s376,s544,s921]) ).
cnf(s979,plain,
~ spl0_2,
inference(rat,[],[s797,s796,s88,s89,s90,s37,s932,s5,s561,s2,s941,s6,s931,s448,s959,s186,s187,s41,s926,s925,s978,s921]) ).
cnf(s980,plain,
spl0_1,
inference(rat,[],[s967,s979]) ).
cnf(s981,plain,
( spl0_223
| spl0_224
| ~ spl0_15 ),
inference(rat,[],[s740,s758,s980]) ).
cnf(s982,plain,
( ~ spl0_222
| ~ spl0_15 ),
inference(rat,[],[s981,s169,s170]) ).
cnf(s983,plain,
( ~ spl0_15
| spl0_155
| spl0_13 ),
inference(rat,[],[s754,s109,s110,s111,s9,s541,s631,s81,s191,s8,s936,s11,s964,s283,s982,s921,s980,s979]) ).
cnf(s984,plain,
( ~ spl0_11
| spl0_17
| spl0_13 ),
inference(rat,[],[s18,s677,s971,s913,s40,s109,s111,s957,s9,s11,s970,s952,s936,s574,s33,s8,s950,s439,s931,s6,s983,s965,s921,s979]) ).
cnf(s985,plain,
~ spl0_56,
inference(rat,[],[s661,s54,s55,s182,s980]) ).
cnf(s986,plain,
spl0_13,
inference(rat,[],[s453,s82,s83,s193,s285,s976,s14,s11,s952,s936,s33,s8,s950,s439,s949,s974,s948,s984,s977,s31,s966,s921,s979,s985]) ).
cnf(s987,plain,
~ spl0_72,
inference(rat,[],[s925,s986]) ).
cnf(s988,plain,
~ spl0_17,
inference(rat,[],[s926,s987]) ).
cnf(s989,plain,
spl0_71,
inference(rat,[],[s41,s988,s921,s987]) ).
cnf(s993,plain,
~ spl0_10,
inference(rat,[],[s959,s989]) ).
cnf(s994,plain,
( spl0_6
| ~ spl0_11 ),
inference(rat,[],[s912,s796,s88,s90,s37,s932,s5,s561,s2,s941,s6,s931,s921,s993,s988]) ).
cnf(s995,plain,
~ spl0_6,
inference(rat,[],[s8,s811,s950,s921,s979,s993]) ).
cnf(s996,plain,
~ spl0_16,
inference(rat,[],[s931,s995]) ).
cnf(s997,plain,
~ spl0_11,
inference(rat,[],[s994,s995]) ).
cnf(s998,plain,
spl0_15,
inference(rat,[],[s6,s988,s921,s996]) ).
cnf(s999,plain,
spl0_4,
inference(rat,[],[s31,s921,s985,s997]) ).
cnf(s1004,plain,
spl0_5,
inference(rat,[],[s946,s979,s995,s999]) ).
cnf(s1007,plain,
~ spl0_14,
inference(rat,[],[s561,s988,s1004]) ).
cnf(s1016,plain,
spl0_9,
inference(rat,[],[s5,s993,s921,s1007]) ).
cnf(s1019,plain,
~ spl0_66,
inference(rat,[],[s932,s998,s1016]) ).
cnf(s1024,plain,
spl0_65,
inference(rat,[],[s37,s921,s995,s1019]) ).
cnf(s1029,plain,
~ spl0_132,
inference(rat,[],[s90,s1024]) ).
cnf(s1030,plain,
~ spl0_131,
inference(rat,[],[s89,s1024]) ).
cnf(s1031,plain,
~ spl0_130,
inference(rat,[],[s88,s1024]) ).
cnf(s1033,plain,
~ spl0_351,
inference(rat,[],[s796,s1031,s1016,s1029]) ).
cnf(s1034,plain,
$false,
inference(rat,[],[s797,s1031,s998,s1033,s1030]) ).
fof(f3299,plain,
$false,
inference(avatar_sat_refutation,[],[s1034]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN457-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:05:46 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.31/1.13 % (902659)Input is clausal, will run a generic CNF schedule.
% 1.31/1.13 % (902664)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=699503362:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.31/1.13 % (902669)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=472526967:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.31/1.13 % (902665)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3194716725:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.31/1.13 % (902670)dis-21_1_sil=8000:lcm=predicate:random_seed=967316069:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.31/1.13 % (902667)lrs+10_1_sil=8000:sp=occurrence:random_seed=1343899554:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.31/1.13 % (902668)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2396330847:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.31/1.13 % (902666)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=684077001:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.31/1.13 % (902670)First to succeed.
% 1.31/1.13 % (902670)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-902659"
% 1.31/1.13 % (902669)Also succeeded, but the first one will report.
% 1.31/1.13 % (902668)Also succeeded, but the first one will report.
% 1.31/1.13 % (902667)Instruction limit reached!
% 1.31/1.13 % (902667)------------------------------
% 1.31/1.13 % (902667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.31/1.13 % (902667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/1.13 % (902667)CaDiCaL version: 2.1.3
% 1.31/1.13 % (902667)Termination reason: Instruction limit
% 1.31/1.13 % (902667)Termination phase: Saturation
% 1.31/1.13 % (902667)Time elapsed: 0.070 s
% 1.31/1.13 % (902667)Peak memory usage: 89 MB
% 1.31/1.13 % (902667)Instructions burned: 108 (million)
% 1.31/1.13 % (902678)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1579677911:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 1.31/1.13 % (902670)Refutation found. Thanks to Tanya!
% 1.31/1.13 % SZS status Unsatisfiable for theBenchmark
% 1.31/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 3.89/1.23 % (902670)------------------------------
% 3.89/1.23 % (902670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.23 % (902670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.23 % (902670)CaDiCaL version: 2.1.3
% 3.89/1.23 % (902670)Termination reason: Refutation
% 3.89/1.23 % (902670)Time elapsed: 0.045 s
% 3.89/1.23 % (902670)Peak memory usage: 91 MB
% 3.89/1.23 % (902670)Instructions burned: 73 (million)
% 3.89/1.23 % (902670)------------------------------
% 3.89/1.23 % (902670)------------------------------
% 3.89/1.23 % (902659)Success in time 0.481 s
% 3.89/1.23 % Vampire exiting
%------------------------------------------------------------------------------