%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN501-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:15:26 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.27s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 214
% Syntax : Number of formulae : 730 ( 28 unt; 114 def)
% Number of atoms : 2197 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2541 (1074 ~;1353 |; 0 &)
% ( 114 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 142 ( 141 usr; 138 prp; 0-1 aty)
% Number of functors : 21 ( 21 usr; 21 con; 0-0 aty)
% Number of variables : 121 ( 0 sgn 121 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( hskp12
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f3,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f9,negated_conjecture,
( ~ hskp22
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f27,negated_conjecture,
( ~ hskp4
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f32,negated_conjecture,
( hskp28
| hskp4
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
( hskp27
| hskp9
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
( hskp13
| hskp18
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
( hskp18
| hskp4
| hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f36,negated_conjecture,
( hskp18
| hskp19
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f46,negated_conjecture,
( ~ hskp28
| c0_1(a137) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( ~ hskp28
| c1_1(a137) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( ~ hskp28
| c2_1(a137) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f50,negated_conjecture,
( ~ hskp27
| c1_1(a101) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( ~ hskp27
| c3_1(a101) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f54,negated_conjecture,
( ~ hskp25
| c1_1(a173) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f60,negated_conjecture,
( ~ hskp19
| c1_1(a130) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( ~ hskp19
| c3_1(a130) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( ~ hskp18
| c0_1(a129) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( ~ hskp18
| c2_1(a129) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( ~ hskp17
| c2_1(a124) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( ~ hskp16
| c0_1(a122) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( ~ hskp13
| c0_1(a116) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( ~ hskp13
| c1_1(a116) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( ~ hskp12
| c0_1(a113) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( ~ hskp12
| c1_1(a113) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( ~ hskp11
| c3_1(a112) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f72,negated_conjecture,
( ~ hskp9
| c1_1(a108) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( ~ hskp9
| c2_1(a108) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( ~ hskp8
| c3_1(a107) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( ~ hskp7
| c2_1(a106) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( ~ hskp7
| c3_1(a106) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp6
| c1_1(a105) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( ~ hskp6
| c2_1(a105) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( ~ hskp5
| c2_1(a104) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp4
| c0_1(a103) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( ~ hskp4
| c2_1(a103) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f84,negated_conjecture,
( ~ hskp2
| c2_1(a99) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( ~ hskp1
| c0_1(a98) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( ~ hskp0
| c0_1(a97) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f88,negated_conjecture,
( ~ c0_1(a173)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f89,negated_conjecture,
( ~ c3_1(a173)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f97,negated_conjecture,
( ~ c1_1(a132)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ c2_1(a132)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ c3_1(a132)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ c2_1(a130)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ c1_1(a129)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ c1_1(a124)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ c3_1(a124)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ c1_1(a122)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ c2_1(a122)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ c0_1(a121)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ c2_1(a121)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ c3_1(a121)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f112,negated_conjecture,
( ~ c3_1(a116)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ c2_1(a113)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ c0_1(a112)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ c1_1(a112)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f118,negated_conjecture,
( ~ c0_1(a108)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ c0_1(a107)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ c2_1(a107)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ c0_1(a106)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ c3_1(a105)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ c0_1(a104)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f125,negated_conjecture,
( ~ c3_1(a103)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f127,negated_conjecture,
( ~ c0_1(a99)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ c1_1(a99)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ c1_1(a98)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ c3_1(a98)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
( ~ c2_1(a97)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ c3_1(a97)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f133,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| hskp1
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f135,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| c3_1(X0)
| hskp18
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f137,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| hskp6
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f139,negated_conjecture,
! [X0] :
( ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| hskp13
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f145,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| hskp1
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f147,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp18
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f148,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp16
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f149,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f150,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f151,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp9
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f152,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp4
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f154,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp7
| hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f156,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp27
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f158,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp16
| hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f161,negated_conjecture,
! [X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f163,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X0)
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f175,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f177,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X0)
| c0_1(X1)
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f178,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X0)
| c0_1(X1)
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f183,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f185,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f190,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
fof(f191,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
fof(f193,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X2)
| c2_1(X0)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
fof(f196,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X2)
| c3_1(X0)
| c1_1(X1)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
fof(f197,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| c1_1(X1)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).
fof(f198,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| c2_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
fof(f200,plain,
( ~ hskp12
| hskp13 ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f201,plain,
( hskp28
| ndr1_0 ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f217,plain,
( ~ hskp28
| hskp4
| hskp22 ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f218,plain,
( ~ hskp27
| hskp9
| ~ hskp2 ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f219,plain,
( hskp13
| ~ hskp18
| hskp8 ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f220,plain,
( ~ hskp18
| hskp4
| ~ hskp20 ),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f221,plain,
( ~ hskp18
| ~ hskp19
| ~ hskp17 ),
inference(consistent_polarity_flipping,[],[f36]) ).
fof(f227,plain,
( hskp28
| c0_1(a137) ),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f228,plain,
( hskp28
| c1_1(a137) ),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f229,plain,
( hskp28
| c2_1(a137) ),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f231,plain,
( hskp27
| c1_1(a101) ),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f232,plain,
( hskp27
| c3_1(a101) ),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f233,plain,
( hskp25
| c1_1(a173) ),
inference(consistent_polarity_flipping,[],[f54]) ).
fof(f237,plain,
( hskp19
| c1_1(a130) ),
inference(consistent_polarity_flipping,[],[f60]) ).
fof(f238,plain,
( hskp19
| c3_1(a130) ),
inference(consistent_polarity_flipping,[],[f61]) ).
fof(f239,plain,
( hskp18
| c0_1(a129) ),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f240,plain,
( hskp18
| c2_1(a129) ),
inference(consistent_polarity_flipping,[],[f63]) ).
fof(f241,plain,
( hskp17
| c2_1(a124) ),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f242,plain,
( hskp16
| c0_1(a122) ),
inference(consistent_polarity_flipping,[],[f65]) ).
fof(f243,plain,
( hskp12
| c0_1(a113) ),
inference(consistent_polarity_flipping,[],[f68]) ).
fof(f244,plain,
( hskp12
| c1_1(a113) ),
inference(consistent_polarity_flipping,[],[f69]) ).
fof(f246,plain,
( hskp6
| c1_1(a105) ),
inference(consistent_polarity_flipping,[],[f77]) ).
fof(f247,plain,
( hskp6
| c2_1(a105) ),
inference(consistent_polarity_flipping,[],[f78]) ).
fof(f248,plain,
( hskp2
| c2_1(a99) ),
inference(consistent_polarity_flipping,[],[f84]) ).
fof(f249,plain,
( ~ c0_1(a173)
| hskp25 ),
inference(consistent_polarity_flipping,[],[f88]) ).
fof(f250,plain,
( ~ c3_1(a173)
| hskp25 ),
inference(consistent_polarity_flipping,[],[f89]) ).
fof(f257,plain,
( ~ c1_1(a132)
| hskp20 ),
inference(consistent_polarity_flipping,[],[f97]) ).
fof(f258,plain,
( ~ c2_1(a132)
| hskp20 ),
inference(consistent_polarity_flipping,[],[f98]) ).
fof(f259,plain,
( ~ c3_1(a132)
| hskp20 ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f260,plain,
( ~ c2_1(a130)
| hskp19 ),
inference(consistent_polarity_flipping,[],[f100]) ).
fof(f261,plain,
( ~ c1_1(a129)
| hskp18 ),
inference(consistent_polarity_flipping,[],[f101]) ).
fof(f262,plain,
( ~ c1_1(a124)
| hskp17 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f263,plain,
( ~ c3_1(a124)
| hskp17 ),
inference(consistent_polarity_flipping,[],[f103]) ).
fof(f264,plain,
( ~ c1_1(a122)
| hskp16 ),
inference(consistent_polarity_flipping,[],[f104]) ).
fof(f265,plain,
( ~ c2_1(a122)
| hskp16 ),
inference(consistent_polarity_flipping,[],[f105]) ).
fof(f266,plain,
( ~ c0_1(a121)
| hskp15 ),
inference(consistent_polarity_flipping,[],[f106]) ).
fof(f267,plain,
( ~ c2_1(a121)
| hskp15 ),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f268,plain,
( ~ c3_1(a121)
| hskp15 ),
inference(consistent_polarity_flipping,[],[f108]) ).
fof(f269,plain,
( ~ c2_1(a113)
| hskp12 ),
inference(consistent_polarity_flipping,[],[f113]) ).
fof(f272,plain,
( ~ c3_1(a105)
| hskp6 ),
inference(consistent_polarity_flipping,[],[f122]) ).
fof(f273,plain,
( ~ c0_1(a99)
| hskp2 ),
inference(consistent_polarity_flipping,[],[f127]) ).
fof(f274,plain,
( ~ c1_1(a99)
| hskp2 ),
inference(consistent_polarity_flipping,[],[f128]) ).
fof(f275,plain,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| hskp1
| ~ hskp2 ),
inference(consistent_polarity_flipping,[],[f133]) ).
fof(f276,plain,
! [X0] :
( ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| c3_1(X0)
| ~ hskp18
| ~ hskp19 ),
inference(consistent_polarity_flipping,[],[f135]) ).
fof(f277,plain,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| ~ hskp6
| hskp7 ),
inference(consistent_polarity_flipping,[],[f137]) ).
fof(f283,plain,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| hskp1
| ~ hskp19 ),
inference(consistent_polarity_flipping,[],[f145]) ).
fof(f285,plain,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| ~ hskp18
| hskp11 ),
inference(consistent_polarity_flipping,[],[f147]) ).
fof(f286,plain,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| ~ hskp16
| ~ hskp2 ),
inference(consistent_polarity_flipping,[],[f148]) ).
fof(f287,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_1(X0)
| ~ hskp6 ),
inference(consistent_polarity_flipping,[],[f150]) ).
fof(f288,plain,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp9
| ~ hskp17 ),
inference(consistent_polarity_flipping,[],[f151]) ).
fof(f290,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp7
| ~ hskp20 ),
inference(consistent_polarity_flipping,[],[f154]) ).
fof(f291,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_1(X0)
| ~ hskp27
| ~ hskp19 ),
inference(consistent_polarity_flipping,[],[f156]) ).
fof(f293,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| ~ hskp16
| ~ hskp25 ),
inference(consistent_polarity_flipping,[],[f158]) ).
fof(f302,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X0)
| c1_1(X1)
| c2_1(X1)
| ~ hskp20 ),
inference(consistent_polarity_flipping,[],[f175]) ).
fof(f303,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| c2_1(X1)
| ~ hskp28 ),
inference(consistent_polarity_flipping,[],[f176]) ).
fof(f304,plain,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X0)
| c0_1(X1)
| ~ hskp15 ),
inference(consistent_polarity_flipping,[],[f177]) ).
fof(f305,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ hskp16 ),
inference(consistent_polarity_flipping,[],[f178]) ).
fof(f309,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| ~ hskp2 ),
inference(consistent_polarity_flipping,[],[f185]) ).
fof(f311,definition,
( spl0_1
<=> ! [X2] :
( ~ c0_1(X2)
| c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f312,plain,
( ! [X2] :
( c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f317,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f325,definition,
( spl0_5
<=> ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f326,plain,
( ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f328,definition,
( spl0_6
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f329,plain,
( ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f331,definition,
( spl0_7
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f332,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f333,plain,
( spl0_5
| spl0_6
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f198,f331,f317,f328,f325]) ).
fof(f335,definition,
( spl0_8
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f336,plain,
( ! [X2] :
( c1_1(X2)
| c3_1(X2)
| ~ c2_1(X2) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f338,definition,
( spl0_9
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f339,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f340,plain,
( spl0_8
| spl0_1
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f197,f338,f317,f311,f335]) ).
fof(f342,definition,
( spl0_10
<=> ! [X2] :
( ~ c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f343,plain,
( ! [X2] :
( c1_1(X2)
| c2_1(X2)
| ~ c0_1(X2) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f345,definition,
( spl0_11
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f346,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f347,plain,
( spl0_10
| spl0_1
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f196,f345,f317,f311,f342]) ).
fof(f352,definition,
( spl0_13
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f353,plain,
( ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f356,definition,
( spl0_14
<=> ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f357,plain,
( ! [X2] :
( c1_1(X2)
| ~ c2_1(X2)
| c0_1(X2) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f363,definition,
( spl0_16
<=> ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f364,plain,
( ! [X2] :
( c1_1(X2)
| c3_1(X2)
| ~ c0_1(X2) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f366,definition,
( spl0_17
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f367,plain,
( ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| c2_1(X1) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f369,definition,
( spl0_18
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f370,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f371,plain,
( spl0_16
| spl0_17
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f193,f369,f317,f366,f363]) ).
fof(f373,definition,
( spl0_19
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f374,plain,
( ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f380,definition,
( spl0_21
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f381,plain,
( ! [X2] :
( c3_1(X2)
| c0_1(X2)
| c2_1(X2) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f383,definition,
( spl0_22
<=> ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f384,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f385,plain,
( spl0_21
| spl0_22
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f191,f328,f317,f383,f380]) ).
fof(f387,definition,
( spl0_23
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f388,plain,
( ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c0_1(X2) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f390,definition,
( spl0_24
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f391,plain,
( ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f393,definition,
( spl0_25
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f394,plain,
( ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f395,plain,
( spl0_23
| spl0_24
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f190,f393,f317,f390,f387]) ).
fof(f397,definition,
( spl0_26
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f398,plain,
( ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X2) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f412,definition,
( spl0_30
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f413,plain,
( ! [X2] :
( c1_1(X2)
| c2_1(X2)
| c0_1(X2) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f419,definition,
( spl0_32
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f422,plain,
( ~ spl0_32
| spl0_18
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f309,f331,f317,f369,f419]) ).
fof(f424,definition,
( spl0_33
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f429,definition,
( spl0_34
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f432,plain,
( spl0_34
| spl0_18
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f183,f345,f317,f369,f429]) ).
fof(f434,definition,
( spl0_35
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f438,plain,
( spl0_33
| spl0_1
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f181,f393,f317,f311,f424]) ).
fof(f448,definition,
( spl0_38
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f456,definition,
( spl0_40
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f459,plain,
( ~ spl0_40
| spl0_5
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f305,f345,f317,f325,f456]) ).
fof(f461,definition,
( spl0_41
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f464,plain,
( ~ spl0_41
| spl0_5
| ~ spl0_3
| spl0_22 ),
inference(avatar_split_clause,[],[f304,f383,f317,f325,f461]) ).
fof(f466,definition,
( spl0_42
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f469,plain,
( ~ spl0_42
| spl0_13
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f303,f328,f317,f352,f466]) ).
fof(f471,definition,
( spl0_43
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f474,plain,
( ~ spl0_43
| spl0_10
| ~ spl0_3
| spl0_24 ),
inference(avatar_split_clause,[],[f302,f390,f317,f342,f471]) ).
fof(f476,definition,
( spl0_44
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f488,definition,
( spl0_46
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f498,definition,
( spl0_48
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f501,plain,
( spl0_48
| spl0_10
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f168,f335,f317,f342,f498]) ).
fof(f504,definition,
( spl0_49
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f510,definition,
( spl0_50
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f514,plain,
( spl0_33
| spl0_14
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f163,f335,f317,f356,f424]) ).
fof(f516,definition,
( spl0_51
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f520,plain,
( spl0_44
| spl0_30
| ~ spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f161,f373,f317,f412,f476]) ).
fof(f522,definition,
( spl0_52
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f532,definition,
( spl0_54
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f535,plain,
( ~ spl0_54
| ~ spl0_40
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f293,f345,f317,f456,f532]) ).
fof(f537,plain,
( ~ spl0_35
| ~ spl0_51
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f291,f393,f317,f516,f434]) ).
fof(f539,definition,
( spl0_55
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f543,plain,
( ~ spl0_43
| spl0_55
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f290,f328,f317,f539,f471]) ).
fof(f545,plain,
( spl0_55
| spl0_48
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f152,f311,f317,f498,f539]) ).
fof(f546,plain,
( ~ spl0_49
| spl0_52
| ~ spl0_3
| spl0_22 ),
inference(avatar_split_clause,[],[f288,f383,f317,f522,f504]) ).
fof(f548,definition,
( spl0_56
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f551,plain,
( ~ spl0_56
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f287,f393,f317,f548]) ).
fof(f552,plain,
( spl0_44
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f149,f393,f317,f476]) ).
fof(f553,plain,
( ~ spl0_32
| ~ spl0_40
| ~ spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f286,f366,f317,f456,f419]) ).
fof(f554,plain,
( spl0_34
| ~ spl0_38
| ~ spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f285,f366,f317,f448,f429]) ).
fof(f560,plain,
( ~ spl0_35
| spl0_33
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f283,f335,f317,f424,f434]) ).
fof(f566,definition,
( spl0_59
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f579,definition,
( spl0_61
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f583,definition,
( spl0_62
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f586,plain,
( spl0_61
| spl0_62
| ~ spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f139,f373,f317,f583,f579]) ).
fof(f588,plain,
( spl0_55
| ~ spl0_56
| ~ spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f277,f356,f317,f548,f539]) ).
fof(f590,plain,
( ~ spl0_35
| ~ spl0_38
| spl0_26
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f276,f317,f397,f448,f434]) ).
fof(f592,plain,
( ~ spl0_32
| spl0_33
| spl0_30
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f275,f317,f412,f424,f419]) ).
fof(f594,definition,
( spl0_63
<=> c3_1(a97) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f596,plain,
( ~ c3_1(a97)
| spl0_63 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f597,plain,
( ~ spl0_44
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f132,f594,f476]) ).
fof(f599,definition,
( spl0_64
<=> c2_1(a97) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f602,plain,
( ~ spl0_44
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f131,f599,f476]) ).
fof(f604,definition,
( spl0_65
<=> c3_1(a98) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f606,plain,
( ~ c3_1(a98)
| spl0_65 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f607,plain,
( ~ spl0_33
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f130,f604,f424]) ).
fof(f609,definition,
( spl0_66
<=> c1_1(a98) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f611,plain,
( ~ c1_1(a98)
| spl0_66 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f612,plain,
( ~ spl0_33
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f129,f609,f424]) ).
fof(f614,definition,
( spl0_67
<=> c1_1(a99) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f616,plain,
( ~ c1_1(a99)
| spl0_67 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f617,plain,
( spl0_32
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f274,f614,f419]) ).
fof(f619,definition,
( spl0_68
<=> c0_1(a99) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f622,plain,
( spl0_32
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f273,f619,f419]) ).
fof(f629,definition,
( spl0_70
<=> c3_1(a103) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f631,plain,
( ~ c3_1(a103)
| spl0_70 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f632,plain,
( ~ spl0_48
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f125,f629,f498]) ).
fof(f639,definition,
( spl0_72
<=> c0_1(a104) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f642,plain,
( ~ spl0_61
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f123,f639,f579]) ).
fof(f644,definition,
( spl0_73
<=> c3_1(a105) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f647,plain,
( spl0_56
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f272,f644,f548]) ).
fof(f649,definition,
( spl0_74
<=> c0_1(a106) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f652,plain,
( ~ spl0_55
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f121,f649,f539]) ).
fof(f654,definition,
( spl0_75
<=> c2_1(a107) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f657,plain,
( ~ spl0_50
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f120,f654,f510]) ).
fof(f659,definition,
( spl0_76
<=> c0_1(a107) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f662,plain,
( ~ spl0_50
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f119,f659,f510]) ).
fof(f664,definition,
( spl0_77
<=> c0_1(a108) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f667,plain,
( ~ spl0_52
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f118,f664,f522]) ).
fof(f679,definition,
( spl0_80
<=> c1_1(a112) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f681,plain,
( ~ c1_1(a112)
| spl0_80 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f682,plain,
( ~ spl0_34
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f115,f679,f429]) ).
fof(f684,definition,
( spl0_81
<=> c0_1(a112) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f687,plain,
( ~ spl0_34
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f114,f684,f429]) ).
fof(f689,definition,
( spl0_82
<=> c2_1(a113) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f692,plain,
( spl0_46
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f269,f689,f488]) ).
fof(f694,definition,
( spl0_83
<=> c3_1(a116) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f696,plain,
( ~ c3_1(a116)
| spl0_83 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f697,plain,
( ~ spl0_62
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f112,f694,f583]) ).
fof(f714,definition,
( spl0_87
<=> c3_1(a121) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f716,plain,
( ~ c3_1(a121)
| spl0_87 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f717,plain,
( spl0_41
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f268,f714,f461]) ).
fof(f719,definition,
( spl0_88
<=> c2_1(a121) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f722,plain,
( spl0_41
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f267,f719,f461]) ).
fof(f724,definition,
( spl0_89
<=> c0_1(a121) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f727,plain,
( spl0_41
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f266,f724,f461]) ).
fof(f729,definition,
( spl0_90
<=> c2_1(a122) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f732,plain,
( spl0_40
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f265,f729,f456]) ).
fof(f734,definition,
( spl0_91
<=> c1_1(a122) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f736,plain,
( ~ c1_1(a122)
| spl0_91 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f737,plain,
( spl0_40
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f264,f734,f456]) ).
fof(f739,definition,
( spl0_92
<=> c3_1(a124) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f742,plain,
( spl0_49
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f263,f739,f504]) ).
fof(f744,definition,
( spl0_93
<=> c1_1(a124) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f746,plain,
( ~ c1_1(a124)
| spl0_93 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f747,plain,
( spl0_49
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f262,f744,f504]) ).
fof(f749,definition,
( spl0_94
<=> c1_1(a129) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f751,plain,
( ~ c1_1(a129)
| spl0_94 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f752,plain,
( spl0_38
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f261,f749,f448]) ).
fof(f754,definition,
( spl0_95
<=> c2_1(a130) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f757,plain,
( spl0_35
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f260,f754,f434]) ).
fof(f759,definition,
( spl0_96
<=> c3_1(a132) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f761,plain,
( ~ c3_1(a132)
| spl0_96 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f762,plain,
( spl0_43
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f259,f759,f471]) ).
fof(f764,definition,
( spl0_97
<=> c2_1(a132) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f767,plain,
( spl0_43
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f258,f764,f471]) ).
fof(f769,definition,
( spl0_98
<=> c1_1(a132) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f771,plain,
( ~ c1_1(a132)
| spl0_98 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f772,plain,
( spl0_43
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f257,f769,f471]) ).
fof(f809,definition,
( spl0_106
<=> c3_1(a173) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f811,plain,
( ~ c3_1(a173)
| spl0_106 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f812,plain,
( spl0_54
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f250,f809,f532]) ).
fof(f814,definition,
( spl0_107
<=> c0_1(a173) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f817,plain,
( spl0_54
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f249,f814,f532]) ).
fof(f828,definition,
( spl0_110
<=> c0_1(a97) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f831,plain,
( spl0_110
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f86,f476,f828]) ).
fof(f833,definition,
( spl0_111
<=> c0_1(a98) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f836,plain,
( spl0_111
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f85,f424,f833]) ).
fof(f838,definition,
( spl0_112
<=> c2_1(a99) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f840,plain,
( c2_1(a99)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f841,plain,
( spl0_112
| spl0_32 ),
inference(avatar_split_clause,[],[f248,f419,f838]) ).
fof(f853,definition,
( spl0_115
<=> c2_1(a103) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f856,plain,
( spl0_115
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f81,f498,f853]) ).
fof(f858,definition,
( spl0_116
<=> c0_1(a103) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f861,plain,
( spl0_116
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f80,f498,f858]) ).
fof(f863,definition,
( spl0_117
<=> c2_1(a104) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f865,plain,
( c2_1(a104)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f866,plain,
( spl0_117
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f79,f579,f863]) ).
fof(f868,definition,
( spl0_118
<=> c2_1(a105) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f870,plain,
( c2_1(a105)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f871,plain,
( spl0_118
| spl0_56 ),
inference(avatar_split_clause,[],[f247,f548,f868]) ).
fof(f873,definition,
( spl0_119
<=> c1_1(a105) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f875,plain,
( c1_1(a105)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f876,plain,
( spl0_119
| spl0_56 ),
inference(avatar_split_clause,[],[f246,f548,f873]) ).
fof(f878,definition,
( spl0_120
<=> c3_1(a106) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f880,plain,
( c3_1(a106)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f881,plain,
( spl0_120
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f76,f539,f878]) ).
fof(f883,definition,
( spl0_121
<=> c2_1(a106) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f885,plain,
( c2_1(a106)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f886,plain,
( spl0_121
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f75,f539,f883]) ).
fof(f888,definition,
( spl0_122
<=> c3_1(a107) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f890,plain,
( c3_1(a107)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f891,plain,
( spl0_122
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f74,f510,f888]) ).
fof(f893,definition,
( spl0_123
<=> c2_1(a108) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f896,plain,
( spl0_123
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f73,f522,f893]) ).
fof(f898,definition,
( spl0_124
<=> c1_1(a108) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f900,plain,
( c1_1(a108)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f901,plain,
( spl0_124
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f72,f522,f898]) ).
fof(f908,definition,
( spl0_126
<=> c3_1(a112) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f910,plain,
( c3_1(a112)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f911,plain,
( spl0_126
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f70,f429,f908]) ).
fof(f913,definition,
( spl0_127
<=> c1_1(a113) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f915,plain,
( c1_1(a113)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f916,plain,
( spl0_127
| spl0_46 ),
inference(avatar_split_clause,[],[f244,f488,f913]) ).
fof(f918,definition,
( spl0_128
<=> c0_1(a113) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f921,plain,
( spl0_128
| spl0_46 ),
inference(avatar_split_clause,[],[f243,f488,f918]) ).
fof(f923,definition,
( spl0_129
<=> c1_1(a116) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f925,plain,
( c1_1(a116)
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f926,plain,
( spl0_129
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f67,f583,f923]) ).
fof(f928,definition,
( spl0_130
<=> c0_1(a116) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f931,plain,
( spl0_130
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f66,f583,f928]) ).
fof(f933,definition,
( spl0_131
<=> c0_1(a122) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f936,plain,
( spl0_131
| spl0_40 ),
inference(avatar_split_clause,[],[f242,f456,f933]) ).
fof(f938,definition,
( spl0_132
<=> c2_1(a124) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f941,plain,
( spl0_132
| spl0_49 ),
inference(avatar_split_clause,[],[f241,f504,f938]) ).
fof(f943,definition,
( spl0_133
<=> c2_1(a129) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f946,plain,
( spl0_133
| spl0_38 ),
inference(avatar_split_clause,[],[f240,f448,f943]) ).
fof(f948,definition,
( spl0_134
<=> c0_1(a129) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f951,plain,
( spl0_134
| spl0_38 ),
inference(avatar_split_clause,[],[f239,f448,f948]) ).
fof(f953,definition,
( spl0_135
<=> c3_1(a130) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f956,plain,
( spl0_135
| spl0_35 ),
inference(avatar_split_clause,[],[f238,f434,f953]) ).
fof(f958,definition,
( spl0_136
<=> c1_1(a130) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f960,plain,
( c1_1(a130)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f961,plain,
( spl0_136
| spl0_35 ),
inference(avatar_split_clause,[],[f237,f434,f958]) ).
fof(f988,definition,
( spl0_142
<=> c1_1(a173) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f990,plain,
( c1_1(a173)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f991,plain,
( spl0_142
| spl0_54 ),
inference(avatar_split_clause,[],[f233,f532,f988]) ).
fof(f1003,definition,
( spl0_145
<=> c3_1(a101) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f1006,plain,
( spl0_145
| spl0_51 ),
inference(avatar_split_clause,[],[f232,f516,f1003]) ).
fof(f1008,definition,
( spl0_146
<=> c1_1(a101) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f1010,plain,
( c1_1(a101)
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1011,plain,
( spl0_146
| spl0_51 ),
inference(avatar_split_clause,[],[f231,f516,f1008]) ).
fof(f1018,definition,
( spl0_148
<=> c2_1(a137) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f1021,plain,
( spl0_148
| spl0_42 ),
inference(avatar_split_clause,[],[f229,f466,f1018]) ).
fof(f1023,definition,
( spl0_149
<=> c1_1(a137) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f1025,plain,
( c1_1(a137)
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f1026,plain,
( spl0_149
| spl0_42 ),
inference(avatar_split_clause,[],[f228,f466,f1023]) ).
fof(f1028,definition,
( spl0_150
<=> c0_1(a137) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f1031,plain,
( spl0_150
| spl0_42 ),
inference(avatar_split_clause,[],[f227,f466,f1028]) ).
fof(f1053,plain,
( ~ spl0_49
| ~ spl0_35
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f221,f448,f434,f504]) ).
fof(f1054,plain,
( ~ spl0_43
| spl0_48
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f220,f448,f498,f471]) ).
fof(f1055,plain,
( spl0_50
| ~ spl0_38
| spl0_62 ),
inference(avatar_split_clause,[],[f219,f583,f448,f510]) ).
fof(f1056,plain,
( ~ spl0_32
| spl0_52
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f218,f516,f522,f419]) ).
fof(f1057,plain,
( spl0_59
| spl0_48
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f217,f466,f498,f566]) ).
fof(f1062,plain,
( spl0_3
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f27,f498,f317]) ).
fof(f1080,plain,
( spl0_3
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f9,f566,f317]) ).
fof(f1086,plain,
( spl0_3
| spl0_42 ),
inference(avatar_split_clause,[],[f201,f466,f317]) ).
fof(f1088,plain,
( spl0_62
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f200,f488,f583]) ).
fof(f1090,plain,
( c2_1(a113)
| ~ c0_1(a113)
| ~ spl0_6
| ~ spl0_127 ),
inference(resolution,[],[f329,f915]) ).
fof(f1102,plain,
( c3_1(a124)
| ~ c2_1(a124)
| ~ spl0_8
| spl0_93 ),
inference(resolution,[],[f336,f746]) ).
fof(f1110,plain,
( c3_1(a99)
| ~ c2_1(a99)
| ~ spl0_8
| spl0_67 ),
inference(resolution,[],[f336,f616]) ).
fof(f1111,plain,
( c3_1(a98)
| ~ c2_1(a98)
| ~ spl0_8
| spl0_66 ),
inference(resolution,[],[f336,f611]) ).
fof(f1122,definition,
( spl0_155
<=> c2_1(a98) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f1125,plain,
( ~ spl0_155
| spl0_65
| ~ spl0_8
| spl0_66 ),
inference(avatar_split_clause,[],[f1111,f609,f335,f604,f1122]) ).
fof(f1127,definition,
( spl0_156
<=> c3_1(a99) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f1129,plain,
( c3_1(a99)
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1132,definition,
( spl0_157
<=> c2_1(a112) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f1133,plain,
( c2_1(a112)
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1137,definition,
( spl0_158
<=> c2_1(a116) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f1148,definition,
( spl0_160
<=> c2_1(a173) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f1158,definition,
( spl0_162
<=> c2_1(a101) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f1188,plain,
( c0_1(a108)
| ~ c2_1(a108)
| ~ spl0_5
| ~ spl0_124 ),
inference(resolution,[],[f326,f900]) ).
fof(f1192,plain,
( ~ spl0_123
| spl0_77
| ~ spl0_5
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1188,f898,f325,f664,f893]) ).
fof(f1207,plain,
( c2_1(a122)
| ~ c0_1(a122)
| ~ spl0_10
| spl0_91 ),
inference(resolution,[],[f343,f736]) ).
fof(f1214,plain,
( c2_1(a98)
| ~ c0_1(a98)
| ~ spl0_10
| spl0_66 ),
inference(resolution,[],[f343,f611]) ).
fof(f1216,plain,
( c2_1(a132)
| ~ c0_1(a132)
| ~ spl0_10
| spl0_98 ),
inference(resolution,[],[f343,f771]) ).
fof(f1219,definition,
( spl0_166
<=> c0_1(a132) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1224,definition,
( spl0_167
<=> c0_1(a105) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
fof(f1251,plain,
( ~ c0_1(a116)
| ~ c2_1(a116)
| ~ spl0_11
| spl0_83 ),
inference(resolution,[],[f346,f696]) ).
fof(f1257,plain,
( ~ c0_1(a103)
| ~ c2_1(a103)
| ~ spl0_11
| spl0_70 ),
inference(resolution,[],[f346,f631]) ).
fof(f1259,plain,
( ~ c0_1(a98)
| ~ c2_1(a98)
| ~ spl0_11
| spl0_65 ),
inference(resolution,[],[f346,f606]) ).
fof(f1268,plain,
( c0_1(a173)
| ~ c2_1(a173)
| ~ spl0_5
| ~ spl0_142 ),
inference(resolution,[],[f990,f326]) ).
fof(f1284,plain,
( ~ spl0_131
| spl0_90
| ~ spl0_10
| spl0_91 ),
inference(avatar_split_clause,[],[f1207,f734,f342,f729,f933]) ).
fof(f1300,plain,
( ~ c0_1(a98)
| ~ c2_1(a98)
| ~ spl0_1
| spl0_66 ),
inference(resolution,[],[f312,f611]) ).
fof(f1314,plain,
( c2_1(a112)
| ~ c3_1(a112)
| ~ spl0_13
| spl0_80 ),
inference(resolution,[],[f353,f681]) ).
fof(f1330,definition,
( spl0_173
<=> c3_1(a122) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
fof(f1341,plain,
( c0_1(a105)
| ~ c2_1(a105)
| ~ spl0_5
| ~ spl0_119 ),
inference(resolution,[],[f875,f326]) ).
fof(f1342,plain,
( ~ spl0_118
| spl0_167
| ~ spl0_5
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1341,f873,f325,f1224,f868]) ).
fof(f1346,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_5
| ~ spl0_14 ),
inference(resolution,[],[f357,f326]) ).
fof(f1361,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0) )
| ~ spl0_5
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f1346]) ).
fof(f1368,plain,
( ~ c3_1(a101)
| ~ c2_1(a101)
| ~ spl0_9
| ~ spl0_146 ),
inference(resolution,[],[f339,f1010]) ).
fof(f1384,plain,
( c3_1(a122)
| ~ c0_1(a122)
| ~ spl0_16
| spl0_91 ),
inference(resolution,[],[f364,f736]) ).
fof(f1390,plain,
( c3_1(a98)
| ~ c0_1(a98)
| ~ spl0_16
| spl0_66 ),
inference(resolution,[],[f364,f611]) ).
fof(f1392,plain,
( c3_1(a132)
| ~ c0_1(a132)
| ~ spl0_16
| spl0_98 ),
inference(resolution,[],[f364,f771]) ).
fof(f1412,plain,
( ~ c0_1(a98)
| c2_1(a98)
| ~ spl0_17
| spl0_65 ),
inference(resolution,[],[f367,f606]) ).
fof(f1413,plain,
( ~ c0_1(a97)
| c2_1(a97)
| ~ spl0_17
| spl0_63 ),
inference(resolution,[],[f367,f596]) ).
fof(f1415,plain,
( ~ c0_1(a132)
| c2_1(a132)
| ~ spl0_17
| spl0_96 ),
inference(resolution,[],[f367,f761]) ).
fof(f1426,plain,
( c2_1(a101)
| ~ c3_1(a101)
| ~ spl0_18
| ~ spl0_146 ),
inference(resolution,[],[f370,f1010]) ).
fof(f1428,plain,
( c2_1(a130)
| ~ c3_1(a130)
| ~ spl0_18
| ~ spl0_136 ),
inference(resolution,[],[f370,f960]) ).
fof(f1440,plain,
( ~ spl0_112
| spl0_156
| ~ spl0_8
| spl0_67 ),
inference(avatar_split_clause,[],[f1110,f614,f335,f1127,f838]) ).
fof(f1450,plain,
( c2_1(a112)
| c0_1(a112)
| ~ spl0_19
| ~ spl0_126 ),
inference(resolution,[],[f374,f910]) ).
fof(f1452,plain,
( c2_1(a107)
| c0_1(a107)
| ~ spl0_19
| ~ spl0_122 ),
inference(resolution,[],[f374,f890]) ).
fof(f1471,plain,
( c0_1(a173)
| c2_1(a173)
| ~ spl0_21
| spl0_106 ),
inference(resolution,[],[f381,f811]) ).
fof(f1487,plain,
( c0_1(a121)
| c2_1(a121)
| ~ spl0_21
| spl0_87 ),
inference(resolution,[],[f381,f716]) ).
fof(f1511,plain,
( c0_1(a112)
| ~ c2_1(a112)
| ~ spl0_22
| ~ spl0_126 ),
inference(resolution,[],[f384,f910]) ).
fof(f1515,plain,
( c0_1(a99)
| ~ c2_1(a99)
| ~ spl0_22
| ~ spl0_156 ),
inference(resolution,[],[f384,f1129]) ).
fof(f1516,plain,
( ~ spl0_112
| spl0_68
| ~ spl0_22
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1515,f1127,f383,f619,f838]) ).
fof(f1541,plain,
( spl0_88
| spl0_89
| ~ spl0_21
| spl0_87 ),
inference(avatar_split_clause,[],[f1487,f714,f380,f724,f719]) ).
fof(f1547,plain,
( ~ spl0_166
| spl0_96
| ~ spl0_16
| spl0_98 ),
inference(avatar_split_clause,[],[f1392,f769,f363,f759,f1219]) ).
fof(f1553,plain,
( ~ spl0_131
| spl0_90
| ~ spl0_10
| spl0_91 ),
inference(avatar_split_clause,[],[f1207,f734,f342,f729,f933]) ).
fof(f1554,plain,
( ~ spl0_111
| spl0_155
| ~ spl0_10
| spl0_66 ),
inference(avatar_split_clause,[],[f1214,f609,f342,f1122,f833]) ).
fof(f1555,plain,
( spl0_160
| spl0_107
| ~ spl0_21
| spl0_106 ),
inference(avatar_split_clause,[],[f1471,f809,f380,f814,f1148]) ).
fof(f1608,plain,
( c0_1(a106)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_121 ),
inference(resolution,[],[f1361,f885]) ).
fof(f1610,plain,
( c0_1(a104)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_117 ),
inference(resolution,[],[f1361,f865]) ).
fof(f1613,plain,
( c0_1(a99)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_112 ),
inference(resolution,[],[f1361,f840]) ).
fof(f1617,plain,
( spl0_68
| ~ spl0_5
| ~ spl0_14
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1613,f838,f356,f325,f619]) ).
fof(f1618,plain,
( spl0_72
| ~ spl0_5
| ~ spl0_14
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1610,f863,f356,f325,f639]) ).
fof(f1619,plain,
( spl0_74
| ~ spl0_5
| ~ spl0_14
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1608,f883,f356,f325,f649]) ).
fof(f1625,plain,
( ~ spl0_155
| ~ spl0_111
| ~ spl0_1
| spl0_66 ),
inference(avatar_split_clause,[],[f1300,f609,f311,f833,f1122]) ).
fof(f1626,plain,
( ~ spl0_128
| spl0_82
| ~ spl0_6
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1090,f913,f328,f689,f918]) ).
fof(f1628,plain,
( ~ spl0_111
| spl0_65
| ~ spl0_16
| spl0_66 ),
inference(avatar_split_clause,[],[f1390,f609,f363,f604,f833]) ).
fof(f1653,plain,
( spl0_81
| spl0_157
| ~ spl0_19
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1450,f908,f373,f1132,f684]) ).
fof(f1654,plain,
( spl0_76
| spl0_75
| ~ spl0_19
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1452,f888,f373,f654,f659]) ).
fof(f1657,plain,
( c0_1(a112)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_157 ),
inference(resolution,[],[f1133,f1361]) ).
fof(f1658,plain,
( spl0_81
| ~ spl0_5
| ~ spl0_14
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f1657,f1132,f356,f325,f684]) ).
fof(f1659,plain,
( ~ spl0_132
| spl0_92
| ~ spl0_8
| spl0_93 ),
inference(avatar_split_clause,[],[f1102,f744,f335,f739,f938]) ).
fof(f1660,plain,
( ~ spl0_145
| spl0_162
| ~ spl0_18
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1426,f1008,f369,f1158,f1003]) ).
fof(f1661,plain,
( ~ spl0_135
| spl0_95
| ~ spl0_18
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1428,f958,f369,f754,f953]) ).
fof(f1664,plain,
( ~ spl0_160
| spl0_107
| ~ spl0_5
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1268,f988,f325,f814,f1148]) ).
fof(f1670,plain,
( ~ c0_1(a129)
| ~ c2_1(a129)
| ~ spl0_1
| spl0_94 ),
inference(resolution,[],[f312,f751]) ).
fof(f1679,plain,
( ~ spl0_133
| ~ spl0_134
| ~ spl0_1
| spl0_94 ),
inference(avatar_split_clause,[],[f1670,f749,f311,f948,f943]) ).
fof(f1748,plain,
( ~ spl0_157
| spl0_81
| ~ spl0_22
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1511,f908,f383,f684,f1132]) ).
fof(f1749,plain,
( ~ spl0_162
| ~ spl0_145
| ~ spl0_9
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1368,f1008,f338,f1003,f1158]) ).
fof(f1784,plain,
( c2_1(a116)
| ~ c0_1(a116)
| ~ spl0_6
| ~ spl0_129 ),
inference(resolution,[],[f329,f925]) ).
fof(f1878,plain,
( c0_1(a106)
| ~ c2_1(a106)
| ~ spl0_22
| ~ spl0_120 ),
inference(resolution,[],[f384,f880]) ).
fof(f1881,plain,
( ~ spl0_121
| spl0_74
| ~ spl0_22
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1878,f878,f383,f649,f883]) ).
fof(f1903,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_1
| ~ spl0_25 ),
inference(resolution,[],[f394,f312]) ).
fof(f1909,plain,
( c3_1(a116)
| ~ c0_1(a116)
| ~ spl0_25
| ~ spl0_129 ),
inference(resolution,[],[f394,f925]) ).
fof(f1912,plain,
( c3_1(a105)
| ~ c0_1(a105)
| ~ spl0_25
| ~ spl0_119 ),
inference(resolution,[],[f394,f875]) ).
fof(f1915,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_1
| ~ spl0_25 ),
inference(duplicate_literal_removal,[],[f1903]) ).
fof(f1921,plain,
( ~ spl0_130
| spl0_83
| ~ spl0_25
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1909,f923,f393,f694,f928]) ).
fof(f1924,plain,
( spl0_11
| ~ spl0_1
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f1915,f393,f311,f345]) ).
fof(f1939,plain,
( c3_1(a132)
| c0_1(a132)
| ~ spl0_23
| spl0_98 ),
inference(resolution,[],[f388,f771]) ).
fof(f1958,plain,
( ~ c0_1(a122)
| ~ c3_1(a122)
| ~ spl0_24
| spl0_91 ),
inference(resolution,[],[f391,f736]) ).
fof(f1980,plain,
( c3_1(a98)
| c2_1(a98)
| ~ spl0_26
| spl0_66 ),
inference(resolution,[],[f398,f611]) ).
fof(f1987,plain,
( spl0_155
| spl0_65
| ~ spl0_26
| spl0_66 ),
inference(avatar_split_clause,[],[f1980,f609,f397,f604,f1122]) ).
fof(f1990,plain,
( ~ spl0_130
| spl0_158
| ~ spl0_6
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1784,f923,f328,f1137,f928]) ).
fof(f1995,plain,
( ~ spl0_131
| spl0_173
| ~ spl0_16
| spl0_91 ),
inference(avatar_split_clause,[],[f1384,f734,f363,f1330,f933]) ).
fof(f1997,plain,
( ~ spl0_173
| ~ spl0_131
| ~ spl0_24
| spl0_91 ),
inference(avatar_split_clause,[],[f1958,f734,f390,f933,f1330]) ).
fof(f2006,plain,
( ~ spl0_166
| spl0_97
| ~ spl0_10
| spl0_98 ),
inference(avatar_split_clause,[],[f1216,f769,f342,f764,f1219]) ).
fof(f2007,plain,
( ~ spl0_158
| ~ spl0_130
| ~ spl0_11
| spl0_83 ),
inference(avatar_split_clause,[],[f1251,f694,f345,f928,f1137]) ).
fof(f2010,plain,
( ~ spl0_115
| ~ spl0_116
| ~ spl0_11
| spl0_70 ),
inference(avatar_split_clause,[],[f1257,f629,f345,f858,f853]) ).
fof(f2011,plain,
( ~ spl0_155
| ~ spl0_111
| ~ spl0_11
| spl0_65 ),
inference(avatar_split_clause,[],[f1259,f604,f345,f833,f1122]) ).
fof(f2014,plain,
( ~ spl0_126
| spl0_157
| ~ spl0_13
| spl0_80 ),
inference(avatar_split_clause,[],[f1314,f679,f352,f1132,f908]) ).
fof(f2018,plain,
( spl0_155
| ~ spl0_111
| ~ spl0_17
| spl0_65 ),
inference(avatar_split_clause,[],[f1412,f604,f366,f833,f1122]) ).
fof(f2019,plain,
( spl0_64
| ~ spl0_110
| ~ spl0_17
| spl0_63 ),
inference(avatar_split_clause,[],[f1413,f594,f366,f828,f599]) ).
fof(f2020,plain,
( spl0_97
| ~ spl0_166
| ~ spl0_17
| spl0_96 ),
inference(avatar_split_clause,[],[f1415,f759,f366,f1219,f764]) ).
fof(f2024,plain,
( spl0_166
| spl0_96
| ~ spl0_23
| spl0_98 ),
inference(avatar_split_clause,[],[f1939,f769,f387,f759,f1219]) ).
fof(f2028,plain,
( ~ spl0_167
| spl0_73
| ~ spl0_25
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1912,f873,f393,f644,f1224]) ).
fof(f2062,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_1
| ~ spl0_7 ),
inference(resolution,[],[f332,f312]) ).
fof(f2063,plain,
( ~ c2_1(a137)
| ~ c0_1(a137)
| ~ spl0_7
| ~ spl0_149 ),
inference(resolution,[],[f332,f1025]) ).
fof(f2081,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_1
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f2062]) ).
fof(f2088,plain,
( ~ spl0_150
| ~ spl0_148
| ~ spl0_7
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f2063,f1023,f331,f1018,f1028]) ).
fof(f2095,plain,
( ~ c0_1(a105)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_118 ),
inference(resolution,[],[f2081,f870]) ).
fof(f2300,plain,
( ~ spl0_167
| ~ spl0_1
| ~ spl0_7
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2095,f868,f331,f311,f1224]) ).
fof(f2370,plain,
( c2_1(a112)
| c0_1(a112)
| ~ spl0_30
| spl0_80 ),
inference(resolution,[],[f413,f681]) ).
fof(f2372,plain,
( c2_1(a132)
| c0_1(a132)
| ~ spl0_30
| spl0_98 ),
inference(resolution,[],[f413,f771]) ).
fof(f2375,plain,
( spl0_166
| spl0_97
| ~ spl0_30
| spl0_98 ),
inference(avatar_split_clause,[],[f2372,f769,f412,f764,f1219]) ).
fof(f2377,plain,
( spl0_81
| spl0_157
| ~ spl0_30
| spl0_80 ),
inference(avatar_split_clause,[],[f2370,f679,f412,f1132,f684]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f333]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_3
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f340]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_3
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f347]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_16
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f371]) ).
cnf(s9,plain,
( ~ spl0_3
| spl0_6
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f385]) ).
cnf(s10,plain,
( ~ spl0_3
| spl0_23
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f395]) ).
cnf(s15,plain,
( ~ spl0_3
| spl0_7
| spl0_18
| ~ spl0_32 ),
inference(sat_conversion,[],[f422]) ).
cnf(s17,plain,
( ~ spl0_3
| spl0_11
| spl0_18
| spl0_34 ),
inference(sat_conversion,[],[f432]) ).
cnf(s19,plain,
( spl0_1
| ~ spl0_3
| spl0_25
| spl0_33 ),
inference(sat_conversion,[],[f438]) ).
cnf(s22,plain,
( ~ spl0_3
| spl0_5
| spl0_11
| ~ spl0_40 ),
inference(sat_conversion,[],[f459]) ).
cnf(s23,plain,
( ~ spl0_3
| spl0_5
| spl0_22
| ~ spl0_41 ),
inference(sat_conversion,[],[f464]) ).
cnf(s24,plain,
( ~ spl0_3
| spl0_6
| spl0_13
| ~ spl0_42 ),
inference(sat_conversion,[],[f469]) ).
cnf(s25,plain,
( ~ spl0_3
| spl0_10
| spl0_24
| ~ spl0_43 ),
inference(sat_conversion,[],[f474]) ).
cnf(s32,plain,
( ~ spl0_3
| spl0_8
| spl0_10
| spl0_48 ),
inference(sat_conversion,[],[f501]) ).
cnf(s37,plain,
( ~ spl0_3
| spl0_8
| spl0_14
| spl0_33 ),
inference(sat_conversion,[],[f514]) ).
cnf(s39,plain,
( ~ spl0_3
| spl0_19
| spl0_30
| spl0_44 ),
inference(sat_conversion,[],[f520]) ).
cnf(s42,plain,
( ~ spl0_3
| spl0_11
| ~ spl0_40
| ~ spl0_54 ),
inference(sat_conversion,[],[f535]) ).
cnf(s44,plain,
( ~ spl0_3
| spl0_25
| ~ spl0_35
| ~ spl0_51 ),
inference(sat_conversion,[],[f537]) ).
cnf(s46,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_43
| spl0_55 ),
inference(sat_conversion,[],[f543]) ).
cnf(s48,plain,
( spl0_1
| ~ spl0_3
| spl0_48
| spl0_55 ),
inference(sat_conversion,[],[f545]) ).
cnf(s49,plain,
( ~ spl0_3
| spl0_22
| ~ spl0_49
| spl0_52 ),
inference(sat_conversion,[],[f546]) ).
cnf(s50,plain,
( ~ spl0_3
| spl0_25
| ~ spl0_56 ),
inference(sat_conversion,[],[f551]) ).
cnf(s51,plain,
( ~ spl0_3
| spl0_25
| spl0_44 ),
inference(sat_conversion,[],[f552]) ).
cnf(s52,plain,
( ~ spl0_3
| spl0_17
| ~ spl0_32
| ~ spl0_40 ),
inference(sat_conversion,[],[f553]) ).
cnf(s53,plain,
( ~ spl0_3
| spl0_17
| spl0_34
| ~ spl0_38 ),
inference(sat_conversion,[],[f554]) ).
cnf(s55,plain,
( ~ spl0_3
| spl0_8
| spl0_33
| ~ spl0_35 ),
inference(sat_conversion,[],[f560]) ).
cnf(s61,plain,
( ~ spl0_3
| spl0_19
| spl0_61
| spl0_62 ),
inference(sat_conversion,[],[f586]) ).
cnf(s63,plain,
( ~ spl0_3
| spl0_14
| spl0_55
| ~ spl0_56 ),
inference(sat_conversion,[],[f588]) ).
cnf(s65,plain,
( ~ spl0_3
| spl0_26
| ~ spl0_35
| ~ spl0_38 ),
inference(sat_conversion,[],[f590]) ).
cnf(s67,plain,
( ~ spl0_3
| spl0_30
| ~ spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f592]) ).
cnf(s68,plain,
( ~ spl0_44
| ~ spl0_63 ),
inference(sat_conversion,[],[f597]) ).
cnf(s69,plain,
( ~ spl0_44
| ~ spl0_64 ),
inference(sat_conversion,[],[f602]) ).
cnf(s70,plain,
( ~ spl0_33
| ~ spl0_65 ),
inference(sat_conversion,[],[f607]) ).
cnf(s71,plain,
( ~ spl0_33
| ~ spl0_66 ),
inference(sat_conversion,[],[f612]) ).
cnf(s72,plain,
( spl0_32
| ~ spl0_67 ),
inference(sat_conversion,[],[f617]) ).
cnf(s73,plain,
( spl0_32
| ~ spl0_68 ),
inference(sat_conversion,[],[f622]) ).
cnf(s75,plain,
( ~ spl0_48
| ~ spl0_70 ),
inference(sat_conversion,[],[f632]) ).
cnf(s77,plain,
( ~ spl0_61
| ~ spl0_72 ),
inference(sat_conversion,[],[f642]) ).
cnf(s78,plain,
( spl0_56
| ~ spl0_73 ),
inference(sat_conversion,[],[f647]) ).
cnf(s79,plain,
( ~ spl0_55
| ~ spl0_74 ),
inference(sat_conversion,[],[f652]) ).
cnf(s80,plain,
( ~ spl0_50
| ~ spl0_75 ),
inference(sat_conversion,[],[f657]) ).
cnf(s81,plain,
( ~ spl0_50
| ~ spl0_76 ),
inference(sat_conversion,[],[f662]) ).
cnf(s82,plain,
( ~ spl0_52
| ~ spl0_77 ),
inference(sat_conversion,[],[f667]) ).
cnf(s85,plain,
( ~ spl0_34
| ~ spl0_80 ),
inference(sat_conversion,[],[f682]) ).
cnf(s86,plain,
( ~ spl0_34
| ~ spl0_81 ),
inference(sat_conversion,[],[f687]) ).
cnf(s87,plain,
( spl0_46
| ~ spl0_82 ),
inference(sat_conversion,[],[f692]) ).
cnf(s88,plain,
( ~ spl0_62
| ~ spl0_83 ),
inference(sat_conversion,[],[f697]) ).
cnf(s92,plain,
( spl0_41
| ~ spl0_87 ),
inference(sat_conversion,[],[f717]) ).
cnf(s93,plain,
( spl0_41
| ~ spl0_88 ),
inference(sat_conversion,[],[f722]) ).
cnf(s94,plain,
( spl0_41
| ~ spl0_89 ),
inference(sat_conversion,[],[f727]) ).
cnf(s95,plain,
( spl0_40
| ~ spl0_90 ),
inference(sat_conversion,[],[f732]) ).
cnf(s96,plain,
( spl0_40
| ~ spl0_91 ),
inference(sat_conversion,[],[f737]) ).
cnf(s97,plain,
( spl0_49
| ~ spl0_92 ),
inference(sat_conversion,[],[f742]) ).
cnf(s98,plain,
( spl0_49
| ~ spl0_93 ),
inference(sat_conversion,[],[f747]) ).
cnf(s99,plain,
( spl0_38
| ~ spl0_94 ),
inference(sat_conversion,[],[f752]) ).
cnf(s100,plain,
( spl0_35
| ~ spl0_95 ),
inference(sat_conversion,[],[f757]) ).
cnf(s101,plain,
( spl0_43
| ~ spl0_96 ),
inference(sat_conversion,[],[f762]) ).
cnf(s102,plain,
( spl0_43
| ~ spl0_97 ),
inference(sat_conversion,[],[f767]) ).
cnf(s103,plain,
( spl0_43
| ~ spl0_98 ),
inference(sat_conversion,[],[f772]) ).
cnf(s111,plain,
( spl0_54
| ~ spl0_106 ),
inference(sat_conversion,[],[f812]) ).
cnf(s112,plain,
( spl0_54
| ~ spl0_107 ),
inference(sat_conversion,[],[f817]) ).
cnf(s114,plain,
( ~ spl0_44
| spl0_110 ),
inference(sat_conversion,[],[f831]) ).
cnf(s115,plain,
( ~ spl0_33
| spl0_111 ),
inference(sat_conversion,[],[f836]) ).
cnf(s116,plain,
( spl0_32
| spl0_112 ),
inference(sat_conversion,[],[f841]) ).
cnf(s119,plain,
( ~ spl0_48
| spl0_115 ),
inference(sat_conversion,[],[f856]) ).
cnf(s120,plain,
( ~ spl0_48
| spl0_116 ),
inference(sat_conversion,[],[f861]) ).
cnf(s121,plain,
( ~ spl0_61
| spl0_117 ),
inference(sat_conversion,[],[f866]) ).
cnf(s122,plain,
( spl0_56
| spl0_118 ),
inference(sat_conversion,[],[f871]) ).
cnf(s123,plain,
( spl0_56
| spl0_119 ),
inference(sat_conversion,[],[f876]) ).
cnf(s124,plain,
( ~ spl0_55
| spl0_120 ),
inference(sat_conversion,[],[f881]) ).
cnf(s125,plain,
( ~ spl0_55
| spl0_121 ),
inference(sat_conversion,[],[f886]) ).
cnf(s126,plain,
( ~ spl0_50
| spl0_122 ),
inference(sat_conversion,[],[f891]) ).
cnf(s127,plain,
( ~ spl0_52
| spl0_123 ),
inference(sat_conversion,[],[f896]) ).
cnf(s128,plain,
( ~ spl0_52
| spl0_124 ),
inference(sat_conversion,[],[f901]) ).
cnf(s130,plain,
( ~ spl0_34
| spl0_126 ),
inference(sat_conversion,[],[f911]) ).
cnf(s131,plain,
( spl0_46
| spl0_127 ),
inference(sat_conversion,[],[f916]) ).
cnf(s132,plain,
( spl0_46
| spl0_128 ),
inference(sat_conversion,[],[f921]) ).
cnf(s133,plain,
( ~ spl0_62
| spl0_129 ),
inference(sat_conversion,[],[f926]) ).
cnf(s134,plain,
( ~ spl0_62
| spl0_130 ),
inference(sat_conversion,[],[f931]) ).
cnf(s135,plain,
( spl0_40
| spl0_131 ),
inference(sat_conversion,[],[f936]) ).
cnf(s136,plain,
( spl0_49
| spl0_132 ),
inference(sat_conversion,[],[f941]) ).
cnf(s137,plain,
( spl0_38
| spl0_133 ),
inference(sat_conversion,[],[f946]) ).
cnf(s138,plain,
( spl0_38
| spl0_134 ),
inference(sat_conversion,[],[f951]) ).
cnf(s139,plain,
( spl0_35
| spl0_135 ),
inference(sat_conversion,[],[f956]) ).
cnf(s140,plain,
( spl0_35
| spl0_136 ),
inference(sat_conversion,[],[f961]) ).
cnf(s146,plain,
( spl0_54
| spl0_142 ),
inference(sat_conversion,[],[f991]) ).
cnf(s149,plain,
( spl0_51
| spl0_145 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s150,plain,
( spl0_51
| spl0_146 ),
inference(sat_conversion,[],[f1011]) ).
cnf(s152,plain,
( spl0_42
| spl0_148 ),
inference(sat_conversion,[],[f1021]) ).
cnf(s153,plain,
( spl0_42
| spl0_149 ),
inference(sat_conversion,[],[f1026]) ).
cnf(s154,plain,
( spl0_42
| spl0_150 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s164,plain,
( ~ spl0_35
| ~ spl0_38
| ~ spl0_49 ),
inference(sat_conversion,[],[f1053]) ).
cnf(s165,plain,
( ~ spl0_38
| ~ spl0_43
| spl0_48 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s166,plain,
( ~ spl0_38
| spl0_50
| spl0_62 ),
inference(sat_conversion,[],[f1055]) ).
cnf(s167,plain,
( ~ spl0_32
| ~ spl0_51
| spl0_52 ),
inference(sat_conversion,[],[f1056]) ).
cnf(s168,plain,
( ~ spl0_42
| spl0_48
| spl0_59 ),
inference(sat_conversion,[],[f1057]) ).
cnf(s173,plain,
( spl0_3
| ~ spl0_48 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s191,plain,
( spl0_3
| ~ spl0_59 ),
inference(sat_conversion,[],[f1080]) ).
cnf(s197,plain,
( spl0_3
| spl0_42 ),
inference(sat_conversion,[],[f1086]) ).
cnf(s199,plain,
( ~ spl0_46
| spl0_62 ),
inference(sat_conversion,[],[f1088]) ).
cnf(s202,plain,
( ~ spl0_8
| spl0_65
| spl0_66
| ~ spl0_155 ),
inference(sat_conversion,[],[f1125]) ).
cnf(s217,plain,
( ~ spl0_5
| spl0_77
| ~ spl0_123
| ~ spl0_124 ),
inference(sat_conversion,[],[f1192]) ).
cnf(s229,plain,
( ~ spl0_10
| spl0_90
| spl0_91
| ~ spl0_131 ),
inference(sat_conversion,[],[f1284]) ).
cnf(s234,plain,
( ~ spl0_5
| ~ spl0_118
| ~ spl0_119
| spl0_167 ),
inference(sat_conversion,[],[f1342]) ).
cnf(s243,plain,
( ~ spl0_8
| spl0_67
| ~ spl0_112
| spl0_156 ),
inference(sat_conversion,[],[f1440]) ).
cnf(s260,plain,
( ~ spl0_22
| spl0_68
| ~ spl0_112
| ~ spl0_156 ),
inference(sat_conversion,[],[f1516]) ).
cnf(s285,plain,
( ~ spl0_21
| spl0_87
| spl0_88
| spl0_89 ),
inference(sat_conversion,[],[f1541]) ).
cnf(s291,plain,
( ~ spl0_16
| spl0_96
| spl0_98
| ~ spl0_166 ),
inference(sat_conversion,[],[f1547]) ).
cnf(s297,plain,
( ~ spl0_10
| spl0_90
| spl0_91
| ~ spl0_131 ),
inference(sat_conversion,[],[f1553]) ).
cnf(s298,plain,
( ~ spl0_10
| spl0_66
| ~ spl0_111
| spl0_155 ),
inference(sat_conversion,[],[f1554]) ).
cnf(s299,plain,
( ~ spl0_21
| spl0_106
| spl0_107
| spl0_160 ),
inference(sat_conversion,[],[f1555]) ).
cnf(s304,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_68
| ~ spl0_112 ),
inference(sat_conversion,[],[f1617]) ).
cnf(s305,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_72
| ~ spl0_117 ),
inference(sat_conversion,[],[f1618]) ).
cnf(s306,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_74
| ~ spl0_121 ),
inference(sat_conversion,[],[f1619]) ).
cnf(s312,plain,
( ~ spl0_1
| spl0_66
| ~ spl0_111
| ~ spl0_155 ),
inference(sat_conversion,[],[f1625]) ).
cnf(s313,plain,
( ~ spl0_6
| spl0_82
| ~ spl0_127
| ~ spl0_128 ),
inference(sat_conversion,[],[f1626]) ).
cnf(s315,plain,
( ~ spl0_16
| spl0_65
| spl0_66
| ~ spl0_111 ),
inference(sat_conversion,[],[f1628]) ).
cnf(s327,plain,
( ~ spl0_19
| spl0_81
| ~ spl0_126
| spl0_157 ),
inference(sat_conversion,[],[f1653]) ).
cnf(s328,plain,
( ~ spl0_19
| spl0_75
| spl0_76
| ~ spl0_122 ),
inference(sat_conversion,[],[f1654]) ).
cnf(s330,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_81
| ~ spl0_157 ),
inference(sat_conversion,[],[f1658]) ).
cnf(s331,plain,
( ~ spl0_8
| spl0_92
| spl0_93
| ~ spl0_132 ),
inference(sat_conversion,[],[f1659]) ).
cnf(s332,plain,
( ~ spl0_18
| ~ spl0_145
| ~ spl0_146
| spl0_162 ),
inference(sat_conversion,[],[f1660]) ).
cnf(s333,plain,
( ~ spl0_18
| spl0_95
| ~ spl0_135
| ~ spl0_136 ),
inference(sat_conversion,[],[f1661]) ).
cnf(s336,plain,
( ~ spl0_5
| spl0_107
| ~ spl0_142
| ~ spl0_160 ),
inference(sat_conversion,[],[f1664]) ).
cnf(s337,plain,
( ~ spl0_1
| spl0_94
| ~ spl0_133
| ~ spl0_134 ),
inference(sat_conversion,[],[f1679]) ).
cnf(s374,plain,
( ~ spl0_22
| spl0_81
| ~ spl0_126
| ~ spl0_157 ),
inference(sat_conversion,[],[f1748]) ).
cnf(s375,plain,
( ~ spl0_9
| ~ spl0_145
| ~ spl0_146
| ~ spl0_162 ),
inference(sat_conversion,[],[f1749]) ).
cnf(s388,plain,
( ~ spl0_22
| spl0_74
| ~ spl0_120
| ~ spl0_121 ),
inference(sat_conversion,[],[f1881]) ).
cnf(s396,plain,
( ~ spl0_25
| spl0_83
| ~ spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f1921]) ).
cnf(s399,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_25 ),
inference(sat_conversion,[],[f1924]) ).
cnf(s405,plain,
( ~ spl0_26
| spl0_65
| spl0_66
| spl0_155 ),
inference(sat_conversion,[],[f1987]) ).
cnf(s408,plain,
( ~ spl0_6
| ~ spl0_129
| ~ spl0_130
| spl0_158 ),
inference(sat_conversion,[],[f1990]) ).
cnf(s413,plain,
( ~ spl0_16
| spl0_91
| ~ spl0_131
| spl0_173 ),
inference(sat_conversion,[],[f1995]) ).
cnf(s415,plain,
( ~ spl0_24
| spl0_91
| ~ spl0_131
| ~ spl0_173 ),
inference(sat_conversion,[],[f1997]) ).
cnf(s425,plain,
( ~ spl0_10
| spl0_97
| spl0_98
| ~ spl0_166 ),
inference(sat_conversion,[],[f2006]) ).
cnf(s426,plain,
( ~ spl0_11
| spl0_83
| ~ spl0_130
| ~ spl0_158 ),
inference(sat_conversion,[],[f2007]) ).
cnf(s429,plain,
( ~ spl0_11
| spl0_70
| ~ spl0_115
| ~ spl0_116 ),
inference(sat_conversion,[],[f2010]) ).
cnf(s430,plain,
( ~ spl0_11
| spl0_65
| ~ spl0_111
| ~ spl0_155 ),
inference(sat_conversion,[],[f2011]) ).
cnf(s433,plain,
( ~ spl0_13
| spl0_80
| ~ spl0_126
| spl0_157 ),
inference(sat_conversion,[],[f2014]) ).
cnf(s437,plain,
( ~ spl0_17
| spl0_65
| ~ spl0_111
| spl0_155 ),
inference(sat_conversion,[],[f2018]) ).
cnf(s438,plain,
( ~ spl0_17
| spl0_63
| spl0_64
| ~ spl0_110 ),
inference(sat_conversion,[],[f2019]) ).
cnf(s439,plain,
( ~ spl0_17
| spl0_96
| spl0_97
| ~ spl0_166 ),
inference(sat_conversion,[],[f2020]) ).
cnf(s443,plain,
( ~ spl0_23
| spl0_96
| spl0_98
| spl0_166 ),
inference(sat_conversion,[],[f2024]) ).
cnf(s447,plain,
( ~ spl0_25
| spl0_73
| ~ spl0_119
| ~ spl0_167 ),
inference(sat_conversion,[],[f2028]) ).
cnf(s458,plain,
( ~ spl0_7
| ~ spl0_148
| ~ spl0_149
| ~ spl0_150 ),
inference(sat_conversion,[],[f2088]) ).
cnf(s473,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_118
| ~ spl0_167 ),
inference(sat_conversion,[],[f2300]) ).
cnf(s482,plain,
( ~ spl0_30
| spl0_97
| spl0_98
| spl0_166 ),
inference(sat_conversion,[],[f2375]) ).
cnf(s484,plain,
( ~ spl0_30
| spl0_80
| spl0_81
| spl0_157 ),
inference(sat_conversion,[],[f2377]) ).
cnf(s486,plain,
spl0_3,
inference(rat,[],[s168,s173,s191,s197]) ).
cnf(s487,plain,
( spl0_10
| spl0_8
| spl0_1 ),
inference(rat,[],[s429,s75,s119,s120,s4,s32,s486]) ).
cnf(s488,plain,
( ~ spl0_48
| ~ spl0_11 ),
inference(rat,[],[s429,s75,s119,s120]) ).
cnf(s489,plain,
( spl0_22
| spl0_6
| spl0_5 ),
inference(rat,[],[s285,s92,s93,s94,s9,s23,s486]) ).
cnf(s490,plain,
( ~ spl0_55
| ~ spl0_22 ),
inference(rat,[],[s388,s79,s124,s125]) ).
cnf(s491,plain,
( spl0_11
| spl0_5
| spl0_1 ),
inference(rat,[],[s4,s297,s95,s96,s135,s22,s486]) ).
cnf(s492,plain,
( spl0_46
| ~ spl0_6 ),
inference(rat,[],[s313,s87,s131,s132]) ).
cnf(s493,plain,
( spl0_5
| spl0_1 ),
inference(rat,[],[s426,s408,s88,s133,s134,s199,s492,s489,s490,s48,s488,s491,s486]) ).
cnf(s494,plain,
( ~ spl0_6
| ~ spl0_11 ),
inference(rat,[],[s426,s408,s88,s133,s134,s199,s492]) ).
cnf(s495,plain,
( spl0_8
| ~ spl0_11
| spl0_14
| spl0_1 ),
inference(rat,[],[s430,s298,s70,s71,s115,s37,s487,s486]) ).
cnf(s496,plain,
( spl0_49
| ~ spl0_8 ),
inference(rat,[],[s331,s97,s98,s136]) ).
cnf(s497,plain,
( ~ spl0_52
| ~ spl0_5 ),
inference(rat,[],[s217,s82,s127,s128]) ).
cnf(s500,plain,
( spl0_40
| ~ spl0_10 ),
inference(rat,[],[s229,s95,s96,s135]) ).
cnf(s501,plain,
( spl0_51
| ~ spl0_18
| ~ spl0_9 ),
inference(rat,[],[s332,s375,s149,s150]) ).
cnf(s502,plain,
( ~ spl0_55
| spl0_1 ),
inference(rat,[],[s333,s100,s139,s140,s44,s501,s7,s438,s68,s69,s114,s51,s396,s88,s133,s134,s199,s492,s9,s299,s336,s111,s112,s146,s42,s500,s315,s70,s71,s115,s495,s37,s487,s3,s496,s49,s306,s490,s79,s125,s497,s493,s486]) ).
cnf(s503,plain,
( spl0_14
| spl0_8
| spl0_1 ),
inference(rat,[],[s333,s100,s139,s140,s44,s501,s7,s438,s68,s69,s114,s51,s447,s315,s234,s70,s71,s115,s78,s122,s123,s37,s63,s493,s502,s3,s486]) ).
cnf(s504,plain,
( spl0_32
| ~ spl0_14
| ~ spl0_5 ),
inference(rat,[],[s304,s73,s116]) ).
cnf(s505,plain,
( spl0_8
| spl0_1 ),
inference(rat,[],[s438,s68,s69,s114,s39,s327,s484,s330,s85,s86,s130,s17,s501,s167,s52,s504,s503,s3,s497,s493,s500,s4,s488,s48,s502,s486]) ).
cnf(s507,plain,
( ~ spl0_33
| spl0_1 ),
inference(rat,[],[s202,s298,s70,s71,s115,s4,s488,s48,s502,s505,s486]) ).
cnf(s508,plain,
( spl0_56
| spl0_1 ),
inference(rat,[],[s234,s447,s78,s122,s123,s493,s19,s507,s486]) ).
cnf(s509,plain,
( ~ spl0_62
| ~ spl0_25 ),
inference(rat,[],[s396,s88,s133,s134]) ).
cnf(s510,plain,
spl0_1,
inference(rat,[],[s482,s425,s102,s103,s46,s492,s199,s509,s67,s504,s63,s508,s19,s507,s4,s488,s48,s502,s493,s486]) ).
cnf(s511,plain,
( spl0_35
| ~ spl0_18 ),
inference(rat,[],[s333,s100,s139,s140]) ).
cnf(s512,plain,
spl0_38,
inference(rat,[],[s337,s99,s137,s138,s510]) ).
cnf(s513,plain,
( ~ spl0_33
| spl0_17 ),
inference(rat,[],[s65,s511,s405,s7,s312,s315,s70,s71,s115,s486,s512,s510]) ).
cnf(s514,plain,
( spl0_25
| spl0_8
| ~ spl0_5 ),
inference(rat,[],[s15,s504,s511,s37,s55,s513,s473,s234,s438,s122,s123,s68,s69,s114,s50,s51,s486,s510]) ).
cnf(s515,plain,
( spl0_8
| ~ spl0_5 ),
inference(rat,[],[s438,s513,s68,s69,s114,s37,s39,s305,s482,s77,s121,s425,s61,s102,s103,s328,s165,s32,s80,s81,s126,s488,s166,s399,s509,s514,s510,s512,s486]) ).
cnf(s516,plain,
( spl0_32
| ~ spl0_5 ),
inference(rat,[],[s243,s260,s72,s73,s116,s49,s496,s515,s497,s486]) ).
cnf(s517,plain,
( spl0_56
| ~ spl0_5 ),
inference(rat,[],[s473,s234,s122,s123,s15,s516,s511,s164,s496,s515,s510,s486,s512]) ).
cnf(s518,plain,
~ spl0_5,
inference(rat,[],[s305,s77,s121,s61,s328,s80,s81,s126,s166,s509,s63,s50,s517,s490,s49,s496,s515,s497,s486,s512]) ).
cnf(s519,plain,
~ spl0_33,
inference(rat,[],[s437,s312,s513,s70,s71,s115,s510]) ).
cnf(s520,plain,
( spl0_11
| spl0_18 ),
inference(rat,[],[s291,s443,s101,s103,s10,s25,s415,s413,s7,s438,s68,s69,s114,s51,s500,s96,s135,s399,s22,s486,s510,s518]) ).
cnf(s521,plain,
( spl0_42
| ~ spl0_7 ),
inference(rat,[],[s458,s152,s153,s154]) ).
cnf(s522,plain,
( ~ spl0_34
| spl0_6 ),
inference(rat,[],[s433,s374,s85,s86,s130,s489,s24,s521,s2,s486,s518]) ).
cnf(s523,plain,
( ~ spl0_44
| ~ spl0_17 ),
inference(rat,[],[s438,s68,s69,s114]) ).
cnf(s524,plain,
spl0_8,
inference(rat,[],[s328,s80,s81,s126,s166,s509,s39,s51,s523,s53,s522,s482,s425,s102,s103,s165,s32,s494,s488,s520,s511,s55,s512,s486,s519]) ).
cnf(s525,plain,
spl0_49,
inference(rat,[],[s496,s524]) ).
cnf(s526,plain,
~ spl0_35,
inference(rat,[],[s164,s512,s525]) ).
cnf(s530,plain,
~ spl0_18,
inference(rat,[],[s511,s526]) ).
cnf(s531,plain,
spl0_11,
inference(rat,[],[s520,s530]) ).
cnf(s532,plain,
~ spl0_48,
inference(rat,[],[s488,s531]) ).
cnf(s533,plain,
~ spl0_6,
inference(rat,[],[s494,s531]) ).
cnf(s534,plain,
~ spl0_43,
inference(rat,[],[s165,s512,s532]) ).
cnf(s536,plain,
spl0_22,
inference(rat,[],[s489,s518,s533]) ).
cnf(s537,plain,
~ spl0_34,
inference(rat,[],[s522,s533]) ).
cnf(s538,plain,
~ spl0_98,
inference(rat,[],[s103,s534]) ).
cnf(s539,plain,
~ spl0_97,
inference(rat,[],[s102,s534]) ).
cnf(s540,plain,
~ spl0_96,
inference(rat,[],[s101,s534]) ).
cnf(s543,plain,
spl0_17,
inference(rat,[],[s53,s512,s486,s537]) ).
cnf(s548,plain,
~ spl0_166,
inference(rat,[],[s439,s540,s539,s543]) ).
cnf(s553,plain,
~ spl0_30,
inference(rat,[],[s482,s539,s538,s548]) ).
cnf(s558,plain,
~ spl0_32,
inference(rat,[],[s67,s486,s519,s553]) ).
cnf(s562,plain,
spl0_112,
inference(rat,[],[s116,s558]) ).
cnf(s563,plain,
~ spl0_68,
inference(rat,[],[s73,s558]) ).
cnf(s564,plain,
~ spl0_67,
inference(rat,[],[s72,s558]) ).
cnf(s573,plain,
~ spl0_156,
inference(rat,[],[s260,s562,s536,s563]) ).
cnf(s574,plain,
$false,
inference(rat,[],[s243,s524,s562,s573,s564]) ).
fof(f2379,plain,
$false,
inference(avatar_sat_refutation,[],[s574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN501-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.15 % Computer : n006.cluster.edu
% 0.08/0.15 % Model : x86_64 x86_64
% 0.08/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.15 % Memory : 8046.5625MB
% 0.08/0.15 % OS : Linux 6.8.0-71-generic
% 0.08/0.15 % CPULimit : 300
% 0.08/0.15 % WCLimit : 300
% 0.08/0.15 % DateTime : Mon Sep 28 16:17:25 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 Running first-order model finding
% 0.08/0.19 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.27 % (4089611)Will run a generic schedule for satisfiability detection.
% 0.08/0.27 % (4089616)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2994889640_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.27 % Detected minimum model sizes of [1]
% 0.08/0.27 % Detected maximum model sizes of [30]
% 0.08/0.27 % TRYING [1]
% 0.08/0.27 % TRYING [2]
% 0.08/0.27 % (4089617)% WARNING: option uhcvi not known.
% 0.08/0.27 % TRYING [3]
% 0.08/0.27 % (4089620)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3424181788:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.27 % (4089618)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=201373352:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.27 % (4089619)dis+10_1_sil=32000:sp=arity:random_seed=3031974999:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.27 % (4089621)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1499534339:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.27 % (4089622)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2817976875:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.27 % TRYING [4]
% 0.08/0.27 % (4089617)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=426796545:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.27 % TRYING [5]
% 0.08/0.27 % (4089622) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4089611-4089622"...
% 0.08/0.27 % (4089622)...printing done.
% 0.08/0.27 % (4089619) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4089611-4089619"...
% 0.08/0.27 % (4089622)Refutation found. Thanks to Tanya!
% 0.08/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.53/0.27 % (4089622)------------------------------
% 0.53/0.27 % (4089622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.27 % (4089622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.27 % (4089622)CaDiCaL version: 2.1.3
% 0.53/0.27 % (4089622)Termination reason: Refutation
% 0.53/0.27 % (4089622)Time elapsed: 0.030 s
% 0.53/0.27 % (4089622)Peak memory usage: 13 MB
% 0.53/0.27 % (4089622)Instructions burned: 45 (million)
% 0.53/0.27 % (4089611)Success in time 0.071 s
% 0.53/0.27 % Vampire exiting
%------------------------------------------------------------------------------