%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN510-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : 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 02:16:53 PM UTC 2026
% Result : Unsatisfiable 0.46s 0.27s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 241
% Syntax : Number of formulae : 908 ( 26 unt; 131 def)
% Number of atoms : 2949 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3456 (1415 ~;1910 |; 0 &)
% ( 131 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 160 ( 159 usr; 156 prp; 0-1 aty)
% Number of functors : 23 ( 23 usr; 23 con; 0-0 aty)
% Number of variables : 198 ( 0 sgn 198 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f18,negated_conjecture,
( ~ hskp14
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f20,negated_conjecture,
( ~ hskp12
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f34,negated_conjecture,
( hskp31
| hskp12
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f40,negated_conjecture,
( hskp13
| hskp24
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
( hskp13
| hskp14
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( hskp13
| hskp25
| hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( hskp3
| hskp24
| hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f48,negated_conjecture,
( ~ hskp31
| c0_1(a563) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( ~ hskp31
| c1_1(a563) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( ~ hskp31
| c3_1(a563) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( ~ hskp30
| c1_1(a562) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( ~ hskp30
| c2_1(a562) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( ~ hskp30
| c3_1(a562) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( ~ hskp29
| c0_1(a552) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( ~ hskp29
| c2_1(a552) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f56,negated_conjecture,
( ~ hskp29
| c3_1(a552) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f60,negated_conjecture,
( ~ hskp27
| c0_1(a615) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( ~ hskp27
| c2_1(a615) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( ~ hskp26
| c1_1(a604) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( ~ hskp26
| c2_1(a604) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( ~ hskp25
| c2_1(a594) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( ~ hskp24
| c1_1(a590) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( ~ hskp22
| c3_1(a584) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( ~ hskp21
| c2_1(a582) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( ~ hskp21
| c3_1(a582) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( ~ hskp20
| c1_1(a580) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f73,negated_conjecture,
( ~ hskp15
| c0_1(a567) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( ~ hskp15
| c1_1(a567) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( ~ hskp14
| c2_1(a566) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( ~ hskp14
| c3_1(a566) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp13
| c0_1(a565) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( ~ hskp13
| c3_1(a565) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( ~ hskp12
| c0_1(a564) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp12
| c3_1(a564) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( ~ hskp11
| c1_1(a553) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( ~ hskp11
| c3_1(a553) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( ~ hskp10
| c1_1(a551) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( ~ hskp10
| c3_1(a551) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f87,negated_conjecture,
( ~ hskp7
| c2_1(a547) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( ~ hskp6
| c3_1(a546) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f92,negated_conjecture,
( ~ hskp3
| c0_1(a539) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ hskp1
| c2_1(a537) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ hskp0
| c0_1(a536) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f95,negated_conjecture,
( ~ hskp0
| c2_1(a536) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f97,negated_conjecture,
( ~ c3_1(a604)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ c0_1(a594)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ c1_1(a594)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ c0_1(a590)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ c2_1(a590)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f105,negated_conjecture,
( ~ c0_1(a584)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ c2_1(a584)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ c1_1(a582)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ c0_1(a580)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ c3_1(a580)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f112,negated_conjecture,
( ~ c0_1(a573)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ c1_1(a573)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ c3_1(a573)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f119,negated_conjecture,
( ~ c2_1(a567)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ c0_1(a566)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ c2_1(a565)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ c1_1(a564)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ c2_1(a553)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ c0_1(a551)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ c0_1(a549)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f127,negated_conjecture,
( ~ c2_1(a549)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f129,negated_conjecture,
( ~ c0_1(a547)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ c3_1(a547)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
( ~ c0_1(a546)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ c1_1(a546)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f136,negated_conjecture,
( ~ c2_1(a539)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f137,negated_conjecture,
( ~ c3_1(a539)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f141,negated_conjecture,
( ~ c1_1(a537)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f142,negated_conjecture,
( ~ c3_1(a537)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f143,negated_conjecture,
( ~ c3_1(a536)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f150,negated_conjecture,
! [X0] :
( ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| hskp29
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
fof(f151,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp11
| hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f154,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| hskp13
| hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
fof(f155,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| hskp29
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
fof(f156,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp21
| hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f160,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp0
| hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f161,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp13
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f162,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp15
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
fof(f163,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp3
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f164,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp12
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f167,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp14
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f171,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp27
| hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f173,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp10
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp20
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f184,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
fof(f186,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
fof(f187,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).
fof(f188,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).
fof(f189,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).
fof(f191,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).
fof(f194,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).
fof(f195,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
fof(f196,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
fof(f197,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).
fof(f198,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).
fof(f200,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).
fof(f202,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X2)
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).
fof(f203,negated_conjecture,
! [X2,X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X2)
| c0_1(X0)
| c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).
fof(f204,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).
fof(f205,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| c2_1(X0)
| c1_1(X1)
| c3_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause205) ).
fof(f206,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X2)
| c0_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause206) ).
fof(f207,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X2)
| c3_1(X0)
| c2_1(X1)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause207) ).
fof(f208,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X2)
| c0_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause208) ).
fof(f209,plain,
( hskp31
| ~ ndr1_0 ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f226,plain,
( hskp14
| ~ ndr1_0 ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f228,plain,
( hskp12
| ~ ndr1_0 ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f242,plain,
( ~ hskp31
| ~ hskp12
| ~ hskp14 ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f248,plain,
( hskp13
| hskp24
| ~ hskp6 ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f249,plain,
( hskp13
| ~ hskp14
| ~ hskp6 ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f250,plain,
( hskp13
| ~ hskp25
| hskp22 ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f251,plain,
( ~ hskp3
| hskp24
| hskp18 ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f254,plain,
( hskp31
| c0_1(a563) ),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f255,plain,
( hskp31
| c1_1(a563) ),
inference(consistent_polarity_flipping,[],[f49]) ).
fof(f256,plain,
( hskp31
| ~ c3_1(a563) ),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f257,plain,
( hskp30
| c1_1(a562) ),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f258,plain,
( hskp30
| ~ c2_1(a562) ),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f259,plain,
( hskp30
| ~ c3_1(a562) ),
inference(consistent_polarity_flipping,[],[f53]) ).
fof(f260,plain,
( hskp29
| c0_1(a552) ),
inference(consistent_polarity_flipping,[],[f54]) ).
fof(f261,plain,
( hskp29
| ~ c2_1(a552) ),
inference(consistent_polarity_flipping,[],[f55]) ).
fof(f262,plain,
( hskp29
| ~ c3_1(a552) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f266,plain,
( ~ hskp27
| ~ c2_1(a615) ),
inference(consistent_polarity_flipping,[],[f61]) ).
fof(f267,plain,
( ~ hskp26
| ~ c2_1(a604) ),
inference(consistent_polarity_flipping,[],[f63]) ).
fof(f268,plain,
( hskp25
| ~ c2_1(a594) ),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f269,plain,
( ~ hskp22
| ~ c3_1(a584) ),
inference(consistent_polarity_flipping,[],[f66]) ).
fof(f270,plain,
( ~ hskp21
| ~ c2_1(a582) ),
inference(consistent_polarity_flipping,[],[f67]) ).
fof(f271,plain,
( ~ hskp21
| ~ c3_1(a582) ),
inference(consistent_polarity_flipping,[],[f68]) ).
fof(f274,plain,
( hskp14
| ~ c2_1(a566) ),
inference(consistent_polarity_flipping,[],[f75]) ).
fof(f275,plain,
( hskp14
| ~ c3_1(a566) ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f276,plain,
( ~ hskp13
| ~ c3_1(a565) ),
inference(consistent_polarity_flipping,[],[f78]) ).
fof(f277,plain,
( hskp12
| c0_1(a564) ),
inference(consistent_polarity_flipping,[],[f79]) ).
fof(f278,plain,
( hskp12
| ~ c3_1(a564) ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f279,plain,
( ~ hskp11
| ~ c3_1(a553) ),
inference(consistent_polarity_flipping,[],[f82]) ).
fof(f280,plain,
( ~ hskp10
| ~ c3_1(a551) ),
inference(consistent_polarity_flipping,[],[f84]) ).
fof(f283,plain,
( ~ hskp7
| ~ c2_1(a547) ),
inference(consistent_polarity_flipping,[],[f87]) ).
fof(f284,plain,
( hskp6
| ~ c3_1(a546) ),
inference(consistent_polarity_flipping,[],[f88]) ).
fof(f288,plain,
( hskp3
| c0_1(a539) ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f289,plain,
( hskp1
| ~ c2_1(a537) ),
inference(consistent_polarity_flipping,[],[f93]) ).
fof(f290,plain,
( ~ hskp0
| ~ c2_1(a536) ),
inference(consistent_polarity_flipping,[],[f95]) ).
fof(f291,plain,
( c3_1(a604)
| ~ hskp26 ),
inference(consistent_polarity_flipping,[],[f97]) ).
fof(f292,plain,
( ~ c0_1(a594)
| hskp25 ),
inference(consistent_polarity_flipping,[],[f98]) ).
fof(f293,plain,
( ~ c1_1(a594)
| hskp25 ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f294,plain,
( c2_1(a590)
| ~ hskp24 ),
inference(consistent_polarity_flipping,[],[f101]) ).
fof(f297,plain,
( c2_1(a584)
| ~ hskp22 ),
inference(consistent_polarity_flipping,[],[f106]) ).
fof(f298,plain,
( c3_1(a580)
| ~ hskp20 ),
inference(consistent_polarity_flipping,[],[f109]) ).
fof(f300,plain,
( c3_1(a573)
| ~ hskp18 ),
inference(consistent_polarity_flipping,[],[f114]) ).
fof(f305,plain,
( c2_1(a567)
| ~ hskp15 ),
inference(consistent_polarity_flipping,[],[f119]) ).
fof(f306,plain,
( ~ c0_1(a566)
| hskp14 ),
inference(consistent_polarity_flipping,[],[f120]) ).
fof(f307,plain,
( c2_1(a565)
| ~ hskp13 ),
inference(consistent_polarity_flipping,[],[f121]) ).
fof(f308,plain,
( ~ c1_1(a564)
| hskp12 ),
inference(consistent_polarity_flipping,[],[f122]) ).
fof(f309,plain,
( c2_1(a553)
| ~ hskp11 ),
inference(consistent_polarity_flipping,[],[f123]) ).
fof(f310,plain,
( ~ c0_1(a549)
| hskp9 ),
inference(consistent_polarity_flipping,[],[f125]) ).
fof(f312,plain,
( c2_1(a549)
| hskp9 ),
inference(consistent_polarity_flipping,[],[f127]) ).
fof(f314,plain,
( c3_1(a547)
| ~ hskp7 ),
inference(consistent_polarity_flipping,[],[f130]) ).
fof(f315,plain,
( ~ c0_1(a546)
| hskp6 ),
inference(consistent_polarity_flipping,[],[f131]) ).
fof(f316,plain,
( ~ c1_1(a546)
| hskp6 ),
inference(consistent_polarity_flipping,[],[f132]) ).
fof(f320,plain,
( c2_1(a539)
| hskp3 ),
inference(consistent_polarity_flipping,[],[f136]) ).
fof(f321,plain,
( c3_1(a539)
| hskp3 ),
inference(consistent_polarity_flipping,[],[f137]) ).
fof(f325,plain,
( ~ c1_1(a537)
| hskp1 ),
inference(consistent_polarity_flipping,[],[f141]) ).
fof(f326,plain,
( c3_1(a537)
| hskp1 ),
inference(consistent_polarity_flipping,[],[f142]) ).
fof(f327,plain,
( c3_1(a536)
| ~ hskp0 ),
inference(consistent_polarity_flipping,[],[f143]) ).
fof(f334,plain,
! [X0] :
( c3_1(X0)
| ndr1_0
| c0_1(X0)
| ~ c2_1(X0)
| ~ hskp29
| hskp11 ),
inference(consistent_polarity_flipping,[],[f150]) ).
fof(f335,plain,
! [X0] :
( ~ c1_1(X0)
| ndr1_0
| c0_1(X0)
| ~ c3_1(X0)
| hskp11
| ~ hskp9 ),
inference(consistent_polarity_flipping,[],[f151]) ).
fof(f338,plain,
! [X0] :
( ~ c0_1(X0)
| ndr1_0
| c1_1(X0)
| ~ c3_1(X0)
| hskp13
| hskp20 ),
inference(consistent_polarity_flipping,[],[f154]) ).
fof(f339,plain,
! [X0] :
( c2_1(X0)
| ndr1_0
| c1_1(X0)
| ~ c3_1(X0)
| ~ hskp29
| hskp21 ),
inference(consistent_polarity_flipping,[],[f155]) ).
fof(f340,plain,
! [X0] :
( ~ c0_1(X0)
| ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| hskp21
| hskp22 ),
inference(consistent_polarity_flipping,[],[f156]) ).
fof(f344,plain,
! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ndr1_0
| c0_1(X0)
| hskp0
| ~ hskp30 ),
inference(consistent_polarity_flipping,[],[f160]) ).
fof(f345,plain,
! [X0] :
( c2_1(X0)
| c3_1(X0)
| ndr1_0
| c0_1(X0)
| hskp13
| ~ hskp14 ),
inference(consistent_polarity_flipping,[],[f161]) ).
fof(f346,plain,
! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c2_1(X0)
| hskp15
| hskp0 ),
inference(consistent_polarity_flipping,[],[f162]) ).
fof(f347,plain,
! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c2_1(X0)
| ~ hskp3
| ~ hskp6 ),
inference(consistent_polarity_flipping,[],[f163]) ).
fof(f348,plain,
! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ndr1_0
| ~ c3_1(X0)
| ~ hskp12
| hskp21 ),
inference(consistent_polarity_flipping,[],[f164]) ).
fof(f351,plain,
! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ndr1_0
| ~ c3_1(X0)
| ~ hskp14
| hskp21 ),
inference(consistent_polarity_flipping,[],[f167]) ).
fof(f355,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0)
| ndr1_0
| hskp27
| hskp26 ),
inference(consistent_polarity_flipping,[],[f171]) ).
fof(f357,plain,
! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0)
| ndr1_0
| hskp10
| ~ hskp14 ),
inference(consistent_polarity_flipping,[],[f173]) ).
fof(f358,plain,
! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0)
| ndr1_0
| hskp20
| ~ hskp14 ),
inference(consistent_polarity_flipping,[],[f174]) ).
fof(f363,plain,
! [X0,X1] :
( ~ c0_1(X0)
| c2_1(X0)
| ndr1_0
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ hskp6 ),
inference(consistent_polarity_flipping,[],[f179]) ).
fof(f364,plain,
! [X0,X1] :
( ~ c0_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c2_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| hskp7 ),
inference(consistent_polarity_flipping,[],[f180]) ).
fof(f368,plain,
! [X0,X1] :
( ~ c1_1(X0)
| c2_1(X0)
| ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X0)
| c1_1(X1)
| ~ c2_1(X1)
| hskp18 ),
inference(consistent_polarity_flipping,[],[f184]) ).
fof(f370,plain,
! [X0,X1] :
( ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(consistent_polarity_flipping,[],[f186]) ).
fof(f371,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0)
| ndr1_0
| c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| ~ hskp1 ),
inference(consistent_polarity_flipping,[],[f187]) ).
fof(f372,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0)
| ndr1_0
| ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| hskp11 ),
inference(consistent_polarity_flipping,[],[f188]) ).
fof(f373,plain,
! [X0,X1] :
( ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0)
| ndr1_0
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| hskp0 ),
inference(consistent_polarity_flipping,[],[f189]) ).
fof(f375,plain,
! [X0,X1] :
( ~ c0_1(X0)
| c2_1(X0)
| ndr1_0
| c2_1(X1)
| c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ hskp31 ),
inference(consistent_polarity_flipping,[],[f191]) ).
fof(f378,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ndr1_0
| ~ c0_1(X1)
| c2_1(X1)
| ~ c2_1(X0)
| c1_1(X1)
| hskp7 ),
inference(consistent_polarity_flipping,[],[f194]) ).
fof(f379,plain,
! [X0,X1] :
( ~ c1_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c0_1(X1)
| c2_1(X1)
| ~ c2_1(X0)
| c1_1(X1)
| ~ hskp3 ),
inference(consistent_polarity_flipping,[],[f195]) ).
fof(f380,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| hskp24 ),
inference(consistent_polarity_flipping,[],[f196]) ).
fof(f381,plain,
! [X0,X1] :
( ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ hskp14 ),
inference(consistent_polarity_flipping,[],[f197]) ).
fof(f382,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0)
| ndr1_0
| c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| ~ hskp12 ),
inference(consistent_polarity_flipping,[],[f198]) ).
fof(f384,plain,
! [X0,X1] :
( ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| ~ hskp14 ),
inference(consistent_polarity_flipping,[],[f200]) ).
fof(f386,plain,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ndr1_0
| c3_1(X1)
| ~ c1_1(X2)
| c1_1(X0)
| ~ c3_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| c0_1(X2)
| ~ c2_1(X2) ),
inference(consistent_polarity_flipping,[],[f202]) ).
fof(f387,plain,
! [X2,X0,X1] :
( c2_1(X0)
| c3_1(X0)
| ndr1_0
| c3_1(X1)
| c2_1(X2)
| c0_1(X0)
| c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c1_1(X2) ),
inference(consistent_polarity_flipping,[],[f203]) ).
fof(f388,plain,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(consistent_polarity_flipping,[],[f204]) ).
fof(f389,plain,
! [X2,X0,X1] :
( ~ c0_1(X0)
| c3_1(X0)
| ndr1_0
| c2_1(X1)
| c2_1(X2)
| c3_1(X2)
| ~ c2_1(X0)
| c1_1(X1)
| ~ c3_1(X1)
| c0_1(X2) ),
inference(consistent_polarity_flipping,[],[f205]) ).
fof(f390,plain,
! [X2,X0,X1] :
( ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0)
| ndr1_0
| c2_1(X1)
| c3_1(X1)
| ~ c1_1(X2)
| c0_1(X1)
| c0_1(X2)
| ~ c2_1(X2) ),
inference(consistent_polarity_flipping,[],[f206]) ).
fof(f391,plain,
! [X2,X0,X1] :
( ~ c0_1(X0)
| c2_1(X0)
| ndr1_0
| ~ c0_1(X1)
| c3_1(X1)
| ~ c0_1(X2)
| c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| c1_1(X2) ),
inference(consistent_polarity_flipping,[],[f207]) ).
fof(f392,plain,
! [X2,X0,X1] :
( ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0)
| ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| ~ c1_1(X2)
| c0_1(X2)
| ~ c3_1(X2) ),
inference(consistent_polarity_flipping,[],[f208]) ).
fof(f394,definition,
( spl0_1
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c3_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f395,plain,
( ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| c0_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f397,definition,
( spl0_2
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f398,plain,
( ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f400,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f404,definition,
( spl0_4
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f405,plain,
( ! [X0] :
( c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f406,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f392,f404,f400,f397,f394]) ).
fof(f408,definition,
( spl0_5
<=> ! [X2] :
( ~ c0_1(X2)
| c1_1(X2)
| c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f409,plain,
( ! [X2] :
( c3_1(X2)
| c1_1(X2)
| ~ c0_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f411,definition,
( spl0_6
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f412,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f414,definition,
( spl0_7
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f415,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f416,plain,
( spl0_5
| spl0_6
| spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f391,f414,f400,f411,f408]) ).
fof(f418,definition,
( spl0_8
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f419,plain,
( ! [X2] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| c0_1(X2) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f421,definition,
( spl0_9
<=> ! [X1] :
( c2_1(X1)
| c0_1(X1)
| c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f422,plain,
( ! [X1] :
( c2_1(X1)
| c0_1(X1)
| c3_1(X1) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f424,definition,
( spl0_10
<=> ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f425,plain,
( ! [X0] :
( c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f426,plain,
( spl0_8
| spl0_9
| spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f390,f424,f400,f421,f418]) ).
fof(f428,definition,
( spl0_11
<=> ! [X1] :
( c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f429,plain,
( ! [X1] :
( c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f430,plain,
( spl0_9
| spl0_11
| spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f389,f411,f400,f428,f421]) ).
fof(f432,definition,
( spl0_12
<=> ! [X2] :
( c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f433,plain,
( ! [X2] :
( ~ c2_1(X2)
| ~ c3_1(X2)
| c0_1(X2) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f435,definition,
( spl0_13
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f436,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f437,plain,
( spl0_12
| spl0_13
| spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f388,f397,f400,f435,f432]) ).
fof(f439,definition,
( spl0_14
<=> ! [X2] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f440,plain,
( ! [X2] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f442,definition,
( spl0_15
<=> ! [X1] :
( c3_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f443,plain,
( ! [X1] :
( c3_1(X1)
| c1_1(X1)
| c0_1(X1) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f444,plain,
( spl0_14
| spl0_15
| spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f387,f421,f400,f442,f439]) ).
fof(f446,definition,
( spl0_16
<=> ! [X1] :
( c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f447,plain,
( ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c0_1(X1) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f449,definition,
( spl0_17
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f450,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| c1_1(X0) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f451,plain,
( spl0_8
| spl0_16
| spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f386,f449,f400,f446,f418]) ).
fof(f453,definition,
( spl0_18
<=> ! [X2] :
( c0_1(X2)
| ~ c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f454,plain,
( ! [X2] :
( ~ c3_1(X2)
| c0_1(X2)
| c1_1(X2) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f457,definition,
( spl0_19
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f460,plain,
( ~ spl0_19
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f384,f404,f400,f397,f457]) ).
fof(f466,definition,
( spl0_21
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f467,plain,
( ! [X1] :
( c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f469,definition,
( spl0_22
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f470,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f473,definition,
( spl0_23
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f476,plain,
( ~ spl0_23
| spl0_9
| spl0_3
| spl0_22 ),
inference(avatar_split_clause,[],[f382,f469,f400,f421,f473]) ).
fof(f478,definition,
( spl0_24
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f479,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f480,plain,
( ~ spl0_19
| spl0_24
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f381,f404,f400,f478,f457]) ).
fof(f482,definition,
( spl0_25
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f485,plain,
( spl0_25
| spl0_24
| spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f380,f397,f400,f478,f482]) ).
fof(f487,definition,
( spl0_26
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f491,definition,
( spl0_27
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f492,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c1_1(X0)
| c3_1(X0) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f493,plain,
( ~ spl0_26
| spl0_21
| spl0_3
| spl0_27 ),
inference(avatar_split_clause,[],[f379,f491,f400,f466,f487]) ).
fof(f495,definition,
( spl0_28
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f498,plain,
( spl0_28
| spl0_21
| spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f378,f435,f400,f466,f495]) ).
fof(f508,definition,
( spl0_31
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f513,definition,
( spl0_32
<=> hskp31 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f516,plain,
( ~ spl0_32
| spl0_9
| spl0_3
| spl0_21 ),
inference(avatar_split_clause,[],[f375,f466,f400,f421,f513]) ).
fof(f518,definition,
( spl0_33
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f522,definition,
( spl0_34
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f523,plain,
( ! [X1] :
( c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f526,definition,
( spl0_35
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f530,definition,
( spl0_36
<=> ! [X1] :
( c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f531,plain,
( ! [X1] :
( c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f532,plain,
( spl0_35
| spl0_36
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f373,f404,f400,f530,f526]) ).
fof(f534,definition,
( spl0_37
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f537,plain,
( spl0_37
| spl0_1
| spl0_3
| spl0_22 ),
inference(avatar_split_clause,[],[f372,f469,f400,f394,f534]) ).
fof(f539,definition,
( spl0_38
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f542,plain,
( ~ spl0_38
| spl0_15
| spl0_3
| spl0_22 ),
inference(avatar_split_clause,[],[f371,f469,f400,f442,f539]) ).
fof(f544,definition,
( spl0_39
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f545,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f546,plain,
( spl0_39
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f370,f404,f400,f544]) ).
fof(f548,definition,
( spl0_40
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f553,definition,
( spl0_41
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f557,definition,
( spl0_42
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f558,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f560,definition,
( spl0_43
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f561,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f562,plain,
( spl0_41
| spl0_42
| spl0_3
| spl0_43 ),
inference(avatar_split_clause,[],[f368,f560,f400,f557,f553]) ).
fof(f580,plain,
( spl0_28
| spl0_12
| spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f364,f411,f400,f432,f495]) ).
fof(f581,plain,
( ~ spl0_33
| spl0_12
| spl0_3
| spl0_21 ),
inference(avatar_split_clause,[],[f363,f466,f400,f432,f518]) ).
fof(f594,definition,
( spl0_50
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f597,plain,
( ~ spl0_19
| spl0_50
| spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f358,f424,f400,f594,f457]) ).
fof(f599,definition,
( spl0_51
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f602,plain,
( ~ spl0_19
| spl0_51
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f357,f404,f400,f599,f457]) ).
fof(f604,definition,
( spl0_52
<=> hskp26 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f609,definition,
( spl0_53
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f612,plain,
( spl0_52
| spl0_53
| spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f355,f397,f400,f609,f604]) ).
fof(f620,definition,
( spl0_55
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f624,definition,
( spl0_56
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f629,definition,
( spl0_57
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f632,plain,
( spl0_57
| ~ spl0_19
| spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f351,f414,f400,f457,f629]) ).
fof(f635,definition,
( spl0_58
<=> hskp30 ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f639,plain,
( spl0_57
| ~ spl0_23
| spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f348,f414,f400,f473,f629]) ).
fof(f640,plain,
( ~ spl0_33
| ~ spl0_26
| spl0_3
| spl0_27 ),
inference(avatar_split_clause,[],[f347,f491,f400,f487,f518]) ).
fof(f642,definition,
( spl0_59
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f645,plain,
( spl0_35
| spl0_59
| spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f346,f411,f400,f642,f526]) ).
fof(f646,plain,
( ~ spl0_19
| spl0_31
| spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f345,f421,f400,f508,f457]) ).
fof(f647,plain,
( ~ spl0_58
| spl0_35
| spl0_3
| spl0_34 ),
inference(avatar_split_clause,[],[f344,f522,f400,f526,f635]) ).
fof(f654,plain,
( spl0_40
| spl0_57
| spl0_3
| spl0_39 ),
inference(avatar_split_clause,[],[f340,f544,f400,f629,f548]) ).
fof(f656,definition,
( spl0_61
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f659,plain,
( spl0_57
| ~ spl0_61
| spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f339,f428,f400,f656,f629]) ).
fof(f660,plain,
( spl0_50
| spl0_31
| spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f338,f449,f400,f508,f594]) ).
fof(f663,plain,
( ~ spl0_55
| spl0_37
| spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f335,f394,f400,f534,f620]) ).
fof(f664,plain,
( spl0_37
| ~ spl0_61
| spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f334,f446,f400,f656,f534]) ).
fof(f687,definition,
( spl0_66
<=> c3_1(a536) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f689,plain,
( c3_1(a536)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f690,plain,
( ~ spl0_35
| spl0_66 ),
inference(avatar_split_clause,[],[f327,f687,f526]) ).
fof(f692,definition,
( spl0_67
<=> c3_1(a537) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f694,plain,
( c3_1(a537)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f695,plain,
( spl0_38
| spl0_67 ),
inference(avatar_split_clause,[],[f326,f692,f539]) ).
fof(f697,definition,
( spl0_68
<=> c1_1(a537) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f700,plain,
( spl0_38
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f325,f697,f539]) ).
fof(f717,definition,
( spl0_72
<=> c3_1(a539) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f720,plain,
( spl0_26
| spl0_72 ),
inference(avatar_split_clause,[],[f321,f717,f487]) ).
fof(f722,definition,
( spl0_73
<=> c2_1(a539) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f724,plain,
( c2_1(a539)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f725,plain,
( spl0_26
| spl0_73 ),
inference(avatar_split_clause,[],[f320,f722,f487]) ).
fof(f742,definition,
( spl0_77
<=> c1_1(a546) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f745,plain,
( spl0_33
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f316,f742,f518]) ).
fof(f747,definition,
( spl0_78
<=> c0_1(a546) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f750,plain,
( spl0_33
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f315,f747,f518]) ).
fof(f752,definition,
( spl0_79
<=> c3_1(a547) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f754,plain,
( c3_1(a547)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f755,plain,
( ~ spl0_28
| spl0_79 ),
inference(avatar_split_clause,[],[f314,f752,f495]) ).
fof(f757,definition,
( spl0_80
<=> c0_1(a547) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f760,plain,
( ~ spl0_28
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f129,f757,f495]) ).
fof(f767,definition,
( spl0_82
<=> c2_1(a549) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f769,plain,
( c2_1(a549)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f770,plain,
( spl0_55
| spl0_82 ),
inference(avatar_split_clause,[],[f312,f767,f620]) ).
fof(f777,definition,
( spl0_84
<=> c0_1(a549) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f780,plain,
( spl0_55
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f310,f777,f620]) ).
fof(f782,definition,
( spl0_85
<=> c0_1(a551) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f785,plain,
( ~ spl0_51
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f124,f782,f599]) ).
fof(f787,definition,
( spl0_86
<=> c2_1(a553) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f789,plain,
( c2_1(a553)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f790,plain,
( ~ spl0_37
| spl0_86 ),
inference(avatar_split_clause,[],[f309,f787,f534]) ).
fof(f792,definition,
( spl0_87
<=> c1_1(a564) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f795,plain,
( spl0_23
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f308,f792,f473]) ).
fof(f797,definition,
( spl0_88
<=> c2_1(a565) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f799,plain,
( c2_1(a565)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f800,plain,
( ~ spl0_31
| spl0_88 ),
inference(avatar_split_clause,[],[f307,f797,f508]) ).
fof(f802,definition,
( spl0_89
<=> c0_1(a566) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f805,plain,
( spl0_19
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f306,f802,f457]) ).
fof(f807,definition,
( spl0_90
<=> c2_1(a567) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f809,plain,
( c2_1(a567)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f810,plain,
( ~ spl0_59
| spl0_90 ),
inference(avatar_split_clause,[],[f305,f807,f642]) ).
fof(f832,definition,
( spl0_95
<=> c3_1(a573) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f834,plain,
( c3_1(a573)
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f835,plain,
( ~ spl0_41
| spl0_95 ),
inference(avatar_split_clause,[],[f300,f832,f553]) ).
fof(f837,definition,
( spl0_96
<=> c1_1(a573) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f840,plain,
( ~ spl0_41
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f113,f837,f553]) ).
fof(f842,definition,
( spl0_97
<=> c0_1(a573) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f845,plain,
( ~ spl0_41
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f112,f842,f553]) ).
fof(f857,definition,
( spl0_100
<=> c3_1(a580) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f859,plain,
( c3_1(a580)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f860,plain,
( ~ spl0_50
| spl0_100 ),
inference(avatar_split_clause,[],[f298,f857,f594]) ).
fof(f862,definition,
( spl0_101
<=> c0_1(a580) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f865,plain,
( ~ spl0_50
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f108,f862,f594]) ).
fof(f867,definition,
( spl0_102
<=> c1_1(a582) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f870,plain,
( ~ spl0_57
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f107,f867,f629]) ).
fof(f872,definition,
( spl0_103
<=> c2_1(a584) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f874,plain,
( c2_1(a584)
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f875,plain,
( ~ spl0_40
| spl0_103 ),
inference(avatar_split_clause,[],[f297,f872,f548]) ).
fof(f877,definition,
( spl0_104
<=> c0_1(a584) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f880,plain,
( ~ spl0_40
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f105,f877,f548]) ).
fof(f897,definition,
( spl0_108
<=> c2_1(a590) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f899,plain,
( c2_1(a590)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f900,plain,
( ~ spl0_25
| spl0_108 ),
inference(avatar_split_clause,[],[f294,f897,f482]) ).
fof(f902,definition,
( spl0_109
<=> c0_1(a590) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f905,plain,
( ~ spl0_25
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f100,f902,f482]) ).
fof(f907,definition,
( spl0_110
<=> c1_1(a594) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f910,plain,
( spl0_56
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f293,f907,f624]) ).
fof(f912,definition,
( spl0_111
<=> c0_1(a594) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f915,plain,
( spl0_56
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f292,f912,f624]) ).
fof(f917,definition,
( spl0_112
<=> c3_1(a604) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f919,plain,
( c3_1(a604)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f920,plain,
( ~ spl0_52
| spl0_112 ),
inference(avatar_split_clause,[],[f291,f917,f604]) ).
fof(f927,definition,
( spl0_114
<=> c2_1(a536) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f929,plain,
( ~ c2_1(a536)
| spl0_114 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f930,plain,
( ~ spl0_114
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f290,f526,f927]) ).
fof(f932,definition,
( spl0_115
<=> c0_1(a536) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f935,plain,
( spl0_115
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f94,f526,f932]) ).
fof(f937,definition,
( spl0_116
<=> c2_1(a537) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f939,plain,
( ~ c2_1(a537)
| spl0_116 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f940,plain,
( ~ spl0_116
| spl0_38 ),
inference(avatar_split_clause,[],[f289,f539,f937]) ).
fof(f942,definition,
( spl0_117
<=> c0_1(a539) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f945,plain,
( spl0_117
| spl0_26 ),
inference(avatar_split_clause,[],[f288,f487,f942]) ).
fof(f962,definition,
( spl0_121
<=> c3_1(a546) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f964,plain,
( ~ c3_1(a546)
| spl0_121 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f965,plain,
( ~ spl0_121
| spl0_33 ),
inference(avatar_split_clause,[],[f284,f518,f962]) ).
fof(f967,definition,
( spl0_122
<=> c2_1(a547) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f969,plain,
( ~ c2_1(a547)
| spl0_122 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f970,plain,
( ~ spl0_122
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f283,f495,f967]) ).
fof(f982,definition,
( spl0_125
<=> c3_1(a551) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f984,plain,
( ~ c3_1(a551)
| spl0_125 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f985,plain,
( ~ spl0_125
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f280,f599,f982]) ).
fof(f987,definition,
( spl0_126
<=> c1_1(a551) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f990,plain,
( spl0_126
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f83,f599,f987]) ).
fof(f992,definition,
( spl0_127
<=> c3_1(a553) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f994,plain,
( ~ c3_1(a553)
| spl0_127 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f995,plain,
( ~ spl0_127
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f279,f534,f992]) ).
fof(f997,definition,
( spl0_128
<=> c1_1(a553) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f1000,plain,
( spl0_128
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f81,f534,f997]) ).
fof(f1002,definition,
( spl0_129
<=> c3_1(a564) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f1004,plain,
( ~ c3_1(a564)
| spl0_129 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1005,plain,
( ~ spl0_129
| spl0_23 ),
inference(avatar_split_clause,[],[f278,f473,f1002]) ).
fof(f1007,definition,
( spl0_130
<=> c0_1(a564) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f1010,plain,
( spl0_130
| spl0_23 ),
inference(avatar_split_clause,[],[f277,f473,f1007]) ).
fof(f1012,definition,
( spl0_131
<=> c3_1(a565) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f1015,plain,
( ~ spl0_131
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f276,f508,f1012]) ).
fof(f1017,definition,
( spl0_132
<=> c0_1(a565) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f1020,plain,
( spl0_132
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f77,f508,f1017]) ).
fof(f1022,definition,
( spl0_133
<=> c3_1(a566) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f1024,plain,
( ~ c3_1(a566)
| spl0_133 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f1025,plain,
( ~ spl0_133
| spl0_19 ),
inference(avatar_split_clause,[],[f275,f457,f1022]) ).
fof(f1027,definition,
( spl0_134
<=> c2_1(a566) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1029,plain,
( ~ c2_1(a566)
| spl0_134 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f1030,plain,
( ~ spl0_134
| spl0_19 ),
inference(avatar_split_clause,[],[f274,f457,f1027]) ).
fof(f1032,definition,
( spl0_135
<=> c1_1(a567) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f1035,plain,
( spl0_135
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f74,f642,f1032]) ).
fof(f1037,definition,
( spl0_136
<=> c0_1(a567) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f1040,plain,
( spl0_136
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f73,f642,f1037]) ).
fof(f1057,definition,
( spl0_140
<=> c1_1(a580) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f1060,plain,
( spl0_140
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f69,f594,f1057]) ).
fof(f1062,definition,
( spl0_141
<=> c3_1(a582) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f1064,plain,
( ~ c3_1(a582)
| spl0_141 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1065,plain,
( ~ spl0_141
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f271,f629,f1062]) ).
fof(f1067,definition,
( spl0_142
<=> c2_1(a582) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f1069,plain,
( ~ c2_1(a582)
| spl0_142 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1070,plain,
( ~ spl0_142
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f270,f629,f1067]) ).
fof(f1072,definition,
( spl0_143
<=> c3_1(a584) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f1075,plain,
( ~ spl0_143
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f269,f548,f1072]) ).
fof(f1077,definition,
( spl0_144
<=> c1_1(a590) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f1080,plain,
( spl0_144
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f65,f482,f1077]) ).
fof(f1082,definition,
( spl0_145
<=> c2_1(a594) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f1084,plain,
( ~ c2_1(a594)
| spl0_145 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f1085,plain,
( ~ spl0_145
| spl0_56 ),
inference(avatar_split_clause,[],[f268,f624,f1082]) ).
fof(f1087,definition,
( spl0_146
<=> c2_1(a604) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f1089,plain,
( ~ c2_1(a604)
| spl0_146 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1090,plain,
( ~ spl0_146
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f267,f604,f1087]) ).
fof(f1092,definition,
( spl0_147
<=> c1_1(a604) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f1095,plain,
( spl0_147
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f62,f604,f1092]) ).
fof(f1097,definition,
( spl0_148
<=> c2_1(a615) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f1099,plain,
( ~ c2_1(a615)
| spl0_148 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f1100,plain,
( ~ spl0_148
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f266,f609,f1097]) ).
fof(f1102,definition,
( spl0_149
<=> c0_1(a615) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f1105,plain,
( spl0_149
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f60,f609,f1102]) ).
fof(f1122,definition,
( spl0_153
<=> c3_1(a552) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f1125,plain,
( ~ spl0_153
| spl0_61 ),
inference(avatar_split_clause,[],[f262,f656,f1122]) ).
fof(f1127,definition,
( spl0_154
<=> c2_1(a552) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f1129,plain,
( ~ c2_1(a552)
| spl0_154 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1130,plain,
( ~ spl0_154
| spl0_61 ),
inference(avatar_split_clause,[],[f261,f656,f1127]) ).
fof(f1132,definition,
( spl0_155
<=> c0_1(a552) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f1135,plain,
( spl0_155
| spl0_61 ),
inference(avatar_split_clause,[],[f260,f656,f1132]) ).
fof(f1137,definition,
( spl0_156
<=> c3_1(a562) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f1140,plain,
( ~ spl0_156
| spl0_58 ),
inference(avatar_split_clause,[],[f259,f635,f1137]) ).
fof(f1142,definition,
( spl0_157
<=> c2_1(a562) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f1144,plain,
( ~ c2_1(a562)
| spl0_157 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f1145,plain,
( ~ spl0_157
| spl0_58 ),
inference(avatar_split_clause,[],[f258,f635,f1142]) ).
fof(f1147,definition,
( spl0_158
<=> c1_1(a562) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f1150,plain,
( spl0_158
| spl0_58 ),
inference(avatar_split_clause,[],[f257,f635,f1147]) ).
fof(f1152,definition,
( spl0_159
<=> c3_1(a563) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f1154,plain,
( ~ c3_1(a563)
| spl0_159 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1155,plain,
( ~ spl0_159
| spl0_32 ),
inference(avatar_split_clause,[],[f256,f513,f1152]) ).
fof(f1157,definition,
( spl0_160
<=> c1_1(a563) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f1159,plain,
( c1_1(a563)
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1160,plain,
( spl0_160
| spl0_32 ),
inference(avatar_split_clause,[],[f255,f513,f1157]) ).
fof(f1162,definition,
( spl0_161
<=> c0_1(a563) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f1165,plain,
( spl0_161
| spl0_32 ),
inference(avatar_split_clause,[],[f254,f513,f1162]) ).
fof(f1170,plain,
( spl0_41
| spl0_25
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f251,f487,f482,f553]) ).
fof(f1171,plain,
( spl0_40
| ~ spl0_56
| spl0_31 ),
inference(avatar_split_clause,[],[f250,f508,f624,f548]) ).
fof(f1172,plain,
( ~ spl0_33
| ~ spl0_19
| spl0_31 ),
inference(avatar_split_clause,[],[f249,f508,f457,f518]) ).
fof(f1173,plain,
( ~ spl0_33
| spl0_25
| spl0_31 ),
inference(avatar_split_clause,[],[f248,f508,f482,f518]) ).
fof(f1179,plain,
( ~ spl0_19
| ~ spl0_23
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f242,f513,f473,f457]) ).
fof(f1193,plain,
( ~ spl0_3
| spl0_23 ),
inference(avatar_split_clause,[],[f228,f473,f400]) ).
fof(f1195,plain,
( ~ spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f226,f457,f400]) ).
fof(f1212,plain,
( ~ spl0_3
| spl0_32 ),
inference(avatar_split_clause,[],[f209,f513,f400]) ).
fof(f1213,plain,
( ~ c0_1(a563)
| ~ c1_1(a563)
| ~ spl0_2
| spl0_159 ),
inference(resolution,[],[f398,f1154]) ).
fof(f1225,plain,
( ~ c0_1(a553)
| ~ c1_1(a553)
| ~ spl0_2
| spl0_127 ),
inference(resolution,[],[f398,f994]) ).
fof(f1235,plain,
( c3_1(a562)
| ~ c0_1(a562)
| ~ spl0_4
| spl0_157 ),
inference(resolution,[],[f405,f1144]) ).
fof(f1236,plain,
( c3_1(a552)
| ~ c0_1(a552)
| ~ spl0_4
| spl0_154 ),
inference(resolution,[],[f405,f1129]) ).
fof(f1238,plain,
( c3_1(a615)
| ~ c0_1(a615)
| ~ spl0_4
| spl0_148 ),
inference(resolution,[],[f405,f1099]) ).
fof(f1242,plain,
( c3_1(a582)
| ~ c0_1(a582)
| ~ spl0_4
| spl0_142 ),
inference(resolution,[],[f405,f1069]) ).
fof(f1261,definition,
( spl0_163
<=> c0_1(a537) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f1266,definition,
( spl0_164
<=> c0_1(a553) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1276,definition,
( spl0_166
<=> c0_1(a582) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1281,definition,
( spl0_167
<=> c0_1(a604) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
fof(f1286,definition,
( spl0_168
<=> c0_1(a562) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1289,plain,
( ~ spl0_168
| spl0_156
| ~ spl0_4
| spl0_157 ),
inference(avatar_split_clause,[],[f1235,f1142,f404,f1137,f1286]) ).
fof(f1301,plain,
( c1_1(a564)
| ~ c0_1(a564)
| ~ spl0_5
| spl0_129 ),
inference(resolution,[],[f409,f1004]) ).
fof(f1317,plain,
( ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_4
| ~ spl0_6 ),
inference(resolution,[],[f412,f405]) ).
fof(f1322,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_4
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f1317]) ).
fof(f1334,plain,
( ~ c0_1(a564)
| ~ spl0_4
| ~ spl0_6
| spl0_129 ),
inference(resolution,[],[f1322,f1004]) ).
fof(f1349,plain,
( ~ c3_1(a615)
| ~ c0_1(a615)
| ~ spl0_7
| spl0_148 ),
inference(resolution,[],[f415,f1099]) ).
fof(f1350,plain,
( ~ c3_1(a604)
| ~ c0_1(a604)
| ~ spl0_7
| spl0_146 ),
inference(resolution,[],[f415,f1089]) ).
fof(f1402,plain,
( ~ c3_1(a537)
| c1_1(a537)
| ~ spl0_11
| spl0_116 ),
inference(resolution,[],[f429,f939]) ).
fof(f1411,definition,
( spl0_173
<=> c3_1(a567) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
fof(f1412,plain,
( c3_1(a567)
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1413,plain,
( ~ c3_1(a567)
| spl0_173 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1421,definition,
( spl0_175
<=> c3_1(a590) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
fof(f1423,plain,
( ~ c3_1(a590)
| spl0_175 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f1431,definition,
( spl0_177
<=> c3_1(a615) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
fof(f1445,plain,
( ~ c0_1(a567)
| ~ c1_1(a567)
| ~ spl0_2
| spl0_173 ),
inference(resolution,[],[f1413,f398]) ).
fof(f1470,plain,
( c1_1(a582)
| c0_1(a582)
| ~ spl0_15
| spl0_141 ),
inference(resolution,[],[f443,f1064]) ).
fof(f1476,plain,
( c1_1(a566)
| c0_1(a566)
| ~ spl0_15
| spl0_133 ),
inference(resolution,[],[f443,f1024]) ).
fof(f1483,plain,
( c1_1(a546)
| c0_1(a546)
| ~ spl0_15
| spl0_121 ),
inference(resolution,[],[f443,f964]) ).
fof(f1492,definition,
( spl0_179
<=> c1_1(a536) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
fof(f1498,definition,
( spl0_180
<=> c1_1(a539) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
fof(f1504,plain,
( spl0_78
| spl0_77
| ~ spl0_15
| spl0_121 ),
inference(avatar_split_clause,[],[f1483,f962,f442,f742,f747]) ).
fof(f1506,definition,
( spl0_181
<=> c1_1(a547) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
fof(f1519,definition,
( spl0_183
<=> c1_1(a566) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
fof(f1522,plain,
( spl0_89
| spl0_183
| ~ spl0_15
| spl0_133 ),
inference(avatar_split_clause,[],[f1476,f1022,f442,f1519,f802]) ).
fof(f1528,plain,
( spl0_166
| spl0_102
| ~ spl0_15
| spl0_141 ),
inference(avatar_split_clause,[],[f1470,f1062,f442,f867,f1276]) ).
fof(f1536,definition,
( spl0_184
<=> c1_1(a552) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f1551,plain,
( c1_1(a594)
| c0_1(a594)
| ~ spl0_14
| spl0_145 ),
inference(resolution,[],[f440,f1084]) ).
fof(f1553,plain,
( c1_1(a582)
| c0_1(a582)
| ~ spl0_14
| spl0_142 ),
inference(resolution,[],[f440,f1069]) ).
fof(f1557,plain,
( c1_1(a566)
| c0_1(a566)
| ~ spl0_14
| spl0_134 ),
inference(resolution,[],[f440,f1029]) ).
fof(f1561,plain,
( c1_1(a547)
| c0_1(a547)
| ~ spl0_14
| spl0_122 ),
inference(resolution,[],[f440,f969]) ).
fof(f1563,plain,
( c1_1(a537)
| c0_1(a537)
| ~ spl0_14
| spl0_116 ),
inference(resolution,[],[f440,f939]) ).
fof(f1567,plain,
( spl0_163
| spl0_68
| ~ spl0_14
| spl0_116 ),
inference(avatar_split_clause,[],[f1563,f937,f439,f697,f1261]) ).
fof(f1569,plain,
( spl0_80
| spl0_181
| ~ spl0_14
| spl0_122 ),
inference(avatar_split_clause,[],[f1561,f967,f439,f1506,f757]) ).
fof(f1573,plain,
( spl0_89
| spl0_183
| ~ spl0_14
| spl0_134 ),
inference(avatar_split_clause,[],[f1557,f1027,f439,f1519,f802]) ).
fof(f1577,plain,
( spl0_166
| spl0_102
| ~ spl0_14
| spl0_142 ),
inference(avatar_split_clause,[],[f1553,f1067,f439,f867,f1276]) ).
fof(f1579,plain,
( spl0_111
| spl0_110
| ~ spl0_14
| spl0_145 ),
inference(avatar_split_clause,[],[f1551,f1082,f439,f907,f912]) ).
fof(f1587,plain,
( c0_1(a562)
| c3_1(a562)
| ~ spl0_9
| spl0_157 ),
inference(resolution,[],[f422,f1144]) ).
fof(f1594,plain,
( c0_1(a582)
| c3_1(a582)
| ~ spl0_9
| spl0_142 ),
inference(resolution,[],[f422,f1069]) ).
fof(f1598,plain,
( c0_1(a566)
| c3_1(a566)
| ~ spl0_9
| spl0_134 ),
inference(resolution,[],[f422,f1029]) ).
fof(f1615,plain,
( spl0_133
| spl0_89
| ~ spl0_9
| spl0_134 ),
inference(avatar_split_clause,[],[f1598,f1027,f421,f802,f1022]) ).
fof(f1619,plain,
( spl0_141
| spl0_166
| ~ spl0_9
| spl0_142 ),
inference(avatar_split_clause,[],[f1594,f1067,f421,f1276,f1062]) ).
fof(f1631,plain,
( ~ spl0_130
| ~ spl0_4
| ~ spl0_6
| spl0_129 ),
inference(avatar_split_clause,[],[f1334,f1002,f411,f404,f1007]) ).
fof(f1642,plain,
( spl0_68
| ~ spl0_67
| ~ spl0_11
| spl0_116 ),
inference(avatar_split_clause,[],[f1402,f937,f428,f692,f697]) ).
fof(f1652,plain,
( ~ c1_1(a590)
| c0_1(a590)
| ~ spl0_8
| ~ spl0_108 ),
inference(resolution,[],[f899,f419]) ).
fof(f1667,plain,
( c3_1(a566)
| ~ c1_1(a566)
| ~ spl0_10
| spl0_134 ),
inference(resolution,[],[f425,f1029]) ).
fof(f1676,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| c0_1(X0)
| c3_1(X0) )
| ~ spl0_9
| ~ spl0_16 ),
inference(resolution,[],[f447,f422]) ).
fof(f1680,plain,
( c3_1(a590)
| c0_1(a590)
| ~ spl0_16
| ~ spl0_108 ),
inference(resolution,[],[f447,f899]) ).
fof(f1681,plain,
( c3_1(a584)
| c0_1(a584)
| ~ spl0_16
| ~ spl0_103 ),
inference(resolution,[],[f447,f874]) ).
fof(f1685,plain,
( c3_1(a553)
| c0_1(a553)
| ~ spl0_16
| ~ spl0_86 ),
inference(resolution,[],[f447,f789]) ).
fof(f1688,plain,
( c3_1(a549)
| c0_1(a549)
| ~ spl0_16
| ~ spl0_82 ),
inference(resolution,[],[f447,f769]) ).
fof(f1690,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0) )
| ~ spl0_9
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f1676]) ).
fof(f1693,definition,
( spl0_185
<=> c3_1(a549) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
fof(f1696,plain,
( spl0_84
| spl0_185
| ~ spl0_16
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1688,f767,f446,f1693,f777]) ).
fof(f1698,plain,
( spl0_164
| spl0_127
| ~ spl0_16
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1685,f787,f446,f992,f1266]) ).
fof(f1702,plain,
( spl0_104
| spl0_143
| ~ spl0_16
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f1681,f872,f446,f1072,f877]) ).
fof(f1740,plain,
( c0_1(a573)
| c1_1(a573)
| ~ spl0_18
| ~ spl0_95 ),
inference(resolution,[],[f454,f834]) ).
fof(f1745,plain,
( spl0_96
| spl0_97
| ~ spl0_18
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1740,f832,f453,f842,f837]) ).
fof(f1757,plain,
( ~ spl0_167
| ~ spl0_112
| ~ spl0_7
| spl0_146 ),
inference(avatar_split_clause,[],[f1350,f1087,f414,f917,f1281]) ).
fof(f1768,plain,
( ~ spl0_130
| spl0_87
| ~ spl0_5
| spl0_129 ),
inference(avatar_split_clause,[],[f1301,f1002,f408,f792,f1007]) ).
fof(f1773,plain,
( spl0_109
| ~ spl0_144
| ~ spl0_8
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1652,f897,f418,f1077,f902]) ).
fof(f1804,plain,
( ~ c0_1(a565)
| c3_1(a565)
| ~ spl0_6
| ~ spl0_88 ),
inference(resolution,[],[f412,f799]) ).
fof(f1805,plain,
( ~ c0_1(a553)
| c3_1(a553)
| ~ spl0_6
| ~ spl0_86 ),
inference(resolution,[],[f412,f789]) ).
fof(f1822,plain,
( ~ c1_1(a553)
| c0_1(a553)
| ~ spl0_8
| ~ spl0_86 ),
inference(resolution,[],[f419,f789]) ).
fof(f1840,plain,
( ~ c3_1(a590)
| c0_1(a590)
| ~ spl0_12
| ~ spl0_108 ),
inference(resolution,[],[f433,f899]) ).
fof(f1850,plain,
( ~ c3_1(a549)
| c0_1(a549)
| ~ spl0_12
| ~ spl0_82 ),
inference(resolution,[],[f433,f769]) ).
fof(f1862,plain,
( ~ c0_1(a537)
| c1_1(a537)
| ~ spl0_17
| ~ spl0_67 ),
inference(resolution,[],[f450,f694]) ).
fof(f1867,plain,
( ! [X0] :
( c1_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X0)
| c3_1(X0) )
| ~ spl0_6
| ~ spl0_21 ),
inference(resolution,[],[f467,f412]) ).
fof(f1868,plain,
( c1_1(a552)
| ~ c0_1(a552)
| ~ spl0_21
| spl0_154 ),
inference(resolution,[],[f467,f1129]) ).
fof(f1878,plain,
( ! [X0] :
( c1_1(X0)
| ~ c0_1(X0)
| c3_1(X0) )
| ~ spl0_6
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f1867]) ).
fof(f1883,plain,
( ~ spl0_155
| spl0_184
| ~ spl0_21
| spl0_154 ),
inference(avatar_split_clause,[],[f1868,f1127,f466,f1536,f1132]) ).
fof(f1884,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1878,f466,f411,f408]) ).
fof(f1909,plain,
( ~ c1_1(a604)
| c0_1(a604)
| ~ spl0_1
| ~ spl0_112 ),
inference(resolution,[],[f395,f919]) ).
fof(f1910,plain,
( ~ c1_1(a580)
| c0_1(a580)
| ~ spl0_1
| ~ spl0_100 ),
inference(resolution,[],[f395,f859]) ).
fof(f1913,plain,
( ~ c1_1(a547)
| c0_1(a547)
| ~ spl0_1
| ~ spl0_79 ),
inference(resolution,[],[f395,f754]) ).
fof(f1923,plain,
( spl0_101
| ~ spl0_140
| ~ spl0_1
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f1910,f857,f394,f1057,f862]) ).
fof(f1926,plain,
( ~ c0_1(a552)
| ~ c1_1(a552)
| ~ spl0_22
| spl0_154 ),
inference(resolution,[],[f470,f1129]) ).
fof(f1935,plain,
( ~ c0_1(a536)
| ~ c1_1(a536)
| ~ spl0_22
| spl0_114 ),
inference(resolution,[],[f470,f929]) ).
fof(f1942,plain,
( ~ c3_1(a590)
| ~ c1_1(a590)
| ~ spl0_24
| ~ spl0_108 ),
inference(resolution,[],[f479,f899]) ).
fof(f1950,plain,
( ~ c3_1(a539)
| ~ c1_1(a539)
| ~ spl0_24
| ~ spl0_73 ),
inference(resolution,[],[f479,f724]) ).
fof(f1961,plain,
( ~ spl0_155
| spl0_153
| ~ spl0_4
| spl0_154 ),
inference(avatar_split_clause,[],[f1236,f1127,f404,f1122,f1132]) ).
fof(f1962,plain,
( ~ spl0_149
| spl0_177
| ~ spl0_4
| spl0_148 ),
inference(avatar_split_clause,[],[f1238,f1097,f404,f1431,f1102]) ).
fof(f1967,plain,
( ~ spl0_184
| ~ spl0_155
| ~ spl0_22
| spl0_154 ),
inference(avatar_split_clause,[],[f1926,f1127,f469,f1132,f1536]) ).
fof(f1978,plain,
( ~ c3_1(a536)
| ~ c0_1(a536)
| ~ spl0_7
| spl0_114 ),
inference(resolution,[],[f415,f929]) ).
fof(f1981,plain,
( ~ c3_1(a547)
| c1_1(a547)
| ~ spl0_11
| spl0_122 ),
inference(resolution,[],[f429,f969]) ).
fof(f1993,plain,
( c0_1(a590)
| ~ c1_1(a590)
| ~ spl0_34
| spl0_175 ),
inference(resolution,[],[f523,f1423]) ).
fof(f2001,plain,
( c0_1(a553)
| ~ c1_1(a553)
| ~ spl0_34
| spl0_127 ),
inference(resolution,[],[f523,f994]) ).
fof(f2002,plain,
( c0_1(a551)
| ~ c1_1(a551)
| ~ spl0_34
| spl0_125 ),
inference(resolution,[],[f523,f984]) ).
fof(f2018,plain,
( spl0_164
| ~ spl0_128
| ~ spl0_8
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1822,f787,f418,f997,f1266]) ).
fof(f2061,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_13
| ~ spl0_22 ),
inference(resolution,[],[f436,f470]) ).
fof(f2071,plain,
( ~ c0_1(a567)
| ~ c1_1(a567)
| ~ spl0_13
| ~ spl0_90 ),
inference(resolution,[],[f436,f809]) ).
fof(f2078,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_13
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f2061]) ).
fof(f2084,plain,
( ~ spl0_135
| ~ spl0_136
| ~ spl0_13
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f2071,f807,f435,f1037,f1032]) ).
fof(f2087,plain,
( spl0_109
| ~ spl0_175
| ~ spl0_12
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1840,f897,f432,f1421,f902]) ).
fof(f2093,plain,
( ~ spl0_144
| spl0_109
| ~ spl0_34
| spl0_175 ),
inference(avatar_split_clause,[],[f1993,f1421,f522,f902,f1077]) ).
fof(f2100,plain,
( ~ spl0_180
| ~ spl0_72
| ~ spl0_24
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1950,f722,f478,f717,f1498]) ).
fof(f2153,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| ~ c3_1(X0)
| c1_1(X0) )
| ~ spl0_11
| ~ spl0_12 ),
inference(resolution,[],[f433,f429]) ).
fof(f2171,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl0_11
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f2153]) ).
fof(f2182,plain,
( c1_1(a536)
| ~ c0_1(a536)
| ~ spl0_21
| spl0_114 ),
inference(resolution,[],[f467,f929]) ).
fof(f2199,plain,
( ~ c3_1(a567)
| ~ c1_1(a567)
| ~ spl0_24
| ~ spl0_90 ),
inference(resolution,[],[f479,f809]) ).
fof(f2214,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0)
| c0_1(X0) )
| ~ spl0_8
| ~ spl0_36 ),
inference(resolution,[],[f531,f419]) ).
fof(f2223,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_8
| ~ spl0_36 ),
inference(duplicate_literal_removal,[],[f2214]) ).
fof(f2234,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f2223,f530,f418,f394]) ).
fof(f2236,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_7
| ~ spl0_39 ),
inference(resolution,[],[f545,f415]) ).
fof(f2254,plain,
( ~ c3_1(a539)
| ~ c0_1(a539)
| ~ spl0_39
| ~ spl0_73 ),
inference(resolution,[],[f545,f724]) ).
fof(f2261,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_7
| ~ spl0_39 ),
inference(duplicate_literal_removal,[],[f2236]) ).
fof(f2264,plain,
( ~ spl0_117
| ~ spl0_72
| ~ spl0_39
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f2254,f722,f544,f717,f942]) ).
fof(f2289,plain,
( ~ c0_1(a539)
| c1_1(a539)
| ~ spl0_42
| ~ spl0_73 ),
inference(resolution,[],[f558,f724]) ).
fof(f2300,plain,
( spl0_180
| ~ spl0_117
| ~ spl0_42
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f2289,f722,f557,f942,f1498]) ).
fof(f2310,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| c0_1(X0) )
| ~ spl0_12
| ~ spl0_43 ),
inference(resolution,[],[f561,f433]) ).
fof(f2321,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0)
| c0_1(X0) )
| ~ spl0_12
| ~ spl0_43 ),
inference(duplicate_literal_removal,[],[f2310]) ).
fof(f2332,plain,
( spl0_1
| ~ spl0_12
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f2321,f560,f432,f394]) ).
fof(f2334,plain,
( ~ spl0_128
| ~ spl0_164
| ~ spl0_2
| spl0_127 ),
inference(avatar_split_clause,[],[f1225,f992,f397,f1266,f997]) ).
fof(f2335,plain,
( ~ spl0_135
| ~ spl0_136
| ~ spl0_2
| spl0_173 ),
inference(avatar_split_clause,[],[f1445,f1411,f397,f1037,f1032]) ).
fof(f2341,plain,
( spl0_127
| ~ spl0_164
| ~ spl0_6
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1805,f787,f411,f1266,f992]) ).
fof(f2350,plain,
( ~ spl0_144
| ~ spl0_175
| ~ spl0_24
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1942,f897,f478,f1421,f1077]) ).
fof(f2357,plain,
( spl0_156
| spl0_168
| ~ spl0_9
| spl0_157 ),
inference(avatar_split_clause,[],[f1587,f1142,f421,f1286,f1137]) ).
fof(f2362,plain,
( spl0_68
| ~ spl0_163
| ~ spl0_17
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f1862,f692,f449,f1261,f697]) ).
fof(f2387,plain,
( c3_1(a562)
| ~ c1_1(a562)
| ~ spl0_10
| spl0_157 ),
inference(resolution,[],[f1144,f425]) ).
fof(f2431,plain,
( ~ c0_1(a536)
| c1_1(a536)
| ~ spl0_17
| ~ spl0_66 ),
inference(resolution,[],[f450,f689]) ).
fof(f2441,plain,
( ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| c0_1(X0)
| c3_1(X0) )
| ~ spl0_9
| ~ spl0_27 ),
inference(resolution,[],[f492,f422]) ).
fof(f2442,plain,
( ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_10
| ~ spl0_27 ),
inference(resolution,[],[f492,f425]) ).
fof(f2444,plain,
( ~ c1_1(a590)
| c3_1(a590)
| ~ spl0_27
| ~ spl0_108 ),
inference(resolution,[],[f492,f899]) ).
fof(f2452,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_10
| ~ spl0_27 ),
inference(duplicate_literal_removal,[],[f2442]) ).
fof(f2453,plain,
( ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| c0_1(X0) )
| ~ spl0_9
| ~ spl0_27 ),
inference(duplicate_literal_removal,[],[f2441]) ).
fof(f2456,plain,
( spl0_175
| ~ spl0_144
| ~ spl0_27
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f2444,f897,f491,f1077,f1421]) ).
fof(f2458,plain,
( spl0_167
| ~ spl0_147
| ~ spl0_1
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1909,f917,f394,f1092,f1281]) ).
fof(f2460,plain,
( spl0_80
| ~ spl0_181
| ~ spl0_1
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1913,f752,f394,f1506,f757]) ).
fof(f2512,plain,
( spl0_179
| ~ spl0_115
| ~ spl0_17
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f2431,f687,f449,f932,f1492]) ).
fof(f2515,plain,
( spl0_131
| ~ spl0_132
| ~ spl0_6
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f1804,f797,f411,f1017,f1012]) ).
fof(f2519,plain,
( ~ c0_1(a563)
| ~ spl0_13
| ~ spl0_22
| ~ spl0_160 ),
inference(resolution,[],[f2078,f1159]) ).
fof(f2535,plain,
( ~ spl0_161
| ~ spl0_13
| ~ spl0_22
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2519,f1157,f469,f435,f1162]) ).
fof(f2546,plain,
( ~ c1_1(a551)
| ~ spl0_10
| ~ spl0_27
| spl0_125 ),
inference(resolution,[],[f2452,f984]) ).
fof(f2550,plain,
( ~ spl0_126
| ~ spl0_10
| ~ spl0_27
| spl0_125 ),
inference(avatar_split_clause,[],[f2546,f982,f491,f424,f987]) ).
fof(f2551,plain,
( spl0_34
| ~ spl0_9
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f2453,f491,f421,f522]) ).
fof(f2553,plain,
( ~ spl0_166
| spl0_141
| ~ spl0_4
| spl0_142 ),
inference(avatar_split_clause,[],[f1242,f1067,f404,f1062,f1276]) ).
fof(f2555,plain,
( ~ spl0_149
| ~ spl0_177
| ~ spl0_7
| spl0_148 ),
inference(avatar_split_clause,[],[f1349,f1097,f414,f1431,f1102]) ).
fof(f2559,plain,
( ~ spl0_115
| ~ spl0_66
| ~ spl0_7
| spl0_114 ),
inference(avatar_split_clause,[],[f1978,f927,f414,f687,f932]) ).
fof(f2569,plain,
( spl0_181
| ~ spl0_79
| ~ spl0_11
| spl0_122 ),
inference(avatar_split_clause,[],[f1981,f967,f428,f752,f1506]) ).
fof(f2587,plain,
( ~ spl0_115
| spl0_179
| ~ spl0_21
| spl0_114 ),
inference(avatar_split_clause,[],[f2182,f927,f466,f1492,f932]) ).
fof(f2588,plain,
( ~ spl0_126
| spl0_85
| ~ spl0_34
| spl0_125 ),
inference(avatar_split_clause,[],[f2002,f982,f522,f782,f987]) ).
fof(f2625,plain,
( c0_1(a546)
| ~ spl0_9
| ~ spl0_16
| spl0_121 ),
inference(resolution,[],[f1690,f964]) ).
fof(f2627,plain,
( spl0_78
| ~ spl0_9
| ~ spl0_16
| spl0_121 ),
inference(avatar_split_clause,[],[f2625,f962,f446,f421,f747]) ).
fof(f2632,plain,
( spl0_84
| ~ spl0_185
| ~ spl0_12
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1850,f767,f432,f1693,f777]) ).
fof(f2634,plain,
( spl0_18
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f2171,f432,f428,f453]) ).
fof(f2642,plain,
( ~ spl0_135
| ~ spl0_173
| ~ spl0_24
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f2199,f807,f478,f1411,f1032]) ).
fof(f2644,plain,
( ~ spl0_128
| spl0_164
| ~ spl0_34
| spl0_127 ),
inference(avatar_split_clause,[],[f2001,f992,f522,f1266,f997]) ).
fof(f2646,plain,
( ~ spl0_160
| ~ spl0_161
| ~ spl0_2
| spl0_159 ),
inference(avatar_split_clause,[],[f1213,f1152,f397,f1162,f1157]) ).
fof(f2652,plain,
( ~ spl0_183
| spl0_133
| ~ spl0_10
| spl0_134 ),
inference(avatar_split_clause,[],[f1667,f1027,f424,f1022,f1519]) ).
fof(f2654,plain,
( ~ spl0_158
| spl0_156
| ~ spl0_10
| spl0_157 ),
inference(avatar_split_clause,[],[f2387,f1142,f424,f1137,f1147]) ).
fof(f2656,plain,
( spl0_109
| spl0_175
| ~ spl0_16
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1680,f897,f446,f1421,f902]) ).
fof(f2660,plain,
( ~ spl0_179
| ~ spl0_115
| ~ spl0_22
| spl0_114 ),
inference(avatar_split_clause,[],[f1935,f927,f469,f932,f1492]) ).
fof(f2682,plain,
( ~ c0_1(a567)
| ~ spl0_7
| ~ spl0_39
| ~ spl0_173 ),
inference(resolution,[],[f2261,f1412]) ).
fof(f2697,plain,
( ~ spl0_136
| ~ spl0_7
| ~ spl0_39
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f2682,f1411,f544,f414,f1037]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f406]) ).
cnf(s2,plain,
( spl0_3
| spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f416]) ).
cnf(s3,plain,
( spl0_3
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f426]) ).
cnf(s4,plain,
( spl0_3
| spl0_6
| spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f430]) ).
cnf(s5,plain,
( spl0_2
| spl0_3
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f437]) ).
cnf(s6,plain,
( spl0_3
| spl0_9
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f444]) ).
cnf(s7,plain,
( spl0_3
| spl0_8
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f451]) ).
cnf(s9,plain,
( spl0_2
| spl0_3
| spl0_4
| ~ spl0_19 ),
inference(sat_conversion,[],[f460]) ).
cnf(s11,plain,
( spl0_3
| spl0_9
| spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f476]) ).
cnf(s12,plain,
( spl0_3
| spl0_4
| ~ spl0_19
| spl0_24 ),
inference(sat_conversion,[],[f480]) ).
cnf(s13,plain,
( spl0_2
| spl0_3
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f485]) ).
cnf(s14,plain,
( spl0_3
| spl0_21
| ~ spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f493]) ).
cnf(s15,plain,
( spl0_3
| spl0_13
| spl0_21
| spl0_28 ),
inference(sat_conversion,[],[f498]) ).
cnf(s18,plain,
( spl0_3
| spl0_9
| spl0_21
| ~ spl0_32 ),
inference(sat_conversion,[],[f516]) ).
cnf(s20,plain,
( spl0_3
| spl0_4
| spl0_35
| spl0_36 ),
inference(sat_conversion,[],[f532]) ).
cnf(s21,plain,
( spl0_1
| spl0_3
| spl0_22
| spl0_37 ),
inference(sat_conversion,[],[f537]) ).
cnf(s22,plain,
( spl0_3
| spl0_15
| spl0_22
| ~ spl0_38 ),
inference(sat_conversion,[],[f542]) ).
cnf(s23,plain,
( spl0_3
| spl0_4
| spl0_39 ),
inference(sat_conversion,[],[f546]) ).
cnf(s25,plain,
( spl0_3
| spl0_41
| spl0_42
| spl0_43 ),
inference(sat_conversion,[],[f562]) ).
cnf(s29,plain,
( spl0_3
| spl0_6
| spl0_12
| spl0_28 ),
inference(sat_conversion,[],[f580]) ).
cnf(s30,plain,
( spl0_3
| spl0_12
| spl0_21
| ~ spl0_33 ),
inference(sat_conversion,[],[f581]) ).
cnf(s35,plain,
( spl0_3
| spl0_10
| ~ spl0_19
| spl0_50 ),
inference(sat_conversion,[],[f597]) ).
cnf(s36,plain,
( spl0_3
| spl0_4
| ~ spl0_19
| spl0_51 ),
inference(sat_conversion,[],[f602]) ).
cnf(s38,plain,
( spl0_2
| spl0_3
| spl0_52
| spl0_53 ),
inference(sat_conversion,[],[f612]) ).
cnf(s42,plain,
( spl0_3
| spl0_7
| ~ spl0_19
| spl0_57 ),
inference(sat_conversion,[],[f632]) ).
cnf(s45,plain,
( spl0_3
| spl0_7
| ~ spl0_23
| spl0_57 ),
inference(sat_conversion,[],[f639]) ).
cnf(s46,plain,
( spl0_3
| ~ spl0_26
| spl0_27
| ~ spl0_33 ),
inference(sat_conversion,[],[f640]) ).
cnf(s47,plain,
( spl0_3
| spl0_6
| spl0_35
| spl0_59 ),
inference(sat_conversion,[],[f645]) ).
cnf(s48,plain,
( spl0_3
| spl0_9
| ~ spl0_19
| spl0_31 ),
inference(sat_conversion,[],[f646]) ).
cnf(s49,plain,
( spl0_3
| spl0_34
| spl0_35
| ~ spl0_58 ),
inference(sat_conversion,[],[f647]) ).
cnf(s53,plain,
( spl0_3
| spl0_39
| spl0_40
| spl0_57 ),
inference(sat_conversion,[],[f654]) ).
cnf(s54,plain,
( spl0_3
| spl0_11
| spl0_57
| ~ spl0_61 ),
inference(sat_conversion,[],[f659]) ).
cnf(s55,plain,
( spl0_3
| spl0_17
| spl0_31
| spl0_50 ),
inference(sat_conversion,[],[f660]) ).
cnf(s58,plain,
( spl0_1
| spl0_3
| spl0_37
| ~ spl0_55 ),
inference(sat_conversion,[],[f663]) ).
cnf(s59,plain,
( spl0_3
| spl0_16
| spl0_37
| ~ spl0_61 ),
inference(sat_conversion,[],[f664]) ).
cnf(s66,plain,
( ~ spl0_35
| spl0_66 ),
inference(sat_conversion,[],[f690]) ).
cnf(s67,plain,
( spl0_38
| spl0_67 ),
inference(sat_conversion,[],[f695]) ).
cnf(s68,plain,
( spl0_38
| ~ spl0_68 ),
inference(sat_conversion,[],[f700]) ).
cnf(s72,plain,
( spl0_26
| spl0_72 ),
inference(sat_conversion,[],[f720]) ).
cnf(s73,plain,
( spl0_26
| spl0_73 ),
inference(sat_conversion,[],[f725]) ).
cnf(s77,plain,
( spl0_33
| ~ spl0_77 ),
inference(sat_conversion,[],[f745]) ).
cnf(s78,plain,
( spl0_33
| ~ spl0_78 ),
inference(sat_conversion,[],[f750]) ).
cnf(s79,plain,
( ~ spl0_28
| spl0_79 ),
inference(sat_conversion,[],[f755]) ).
cnf(s80,plain,
( ~ spl0_28
| ~ spl0_80 ),
inference(sat_conversion,[],[f760]) ).
cnf(s82,plain,
( spl0_55
| spl0_82 ),
inference(sat_conversion,[],[f770]) ).
cnf(s84,plain,
( spl0_55
| ~ spl0_84 ),
inference(sat_conversion,[],[f780]) ).
cnf(s85,plain,
( ~ spl0_51
| ~ spl0_85 ),
inference(sat_conversion,[],[f785]) ).
cnf(s86,plain,
( ~ spl0_37
| spl0_86 ),
inference(sat_conversion,[],[f790]) ).
cnf(s87,plain,
( spl0_23
| ~ spl0_87 ),
inference(sat_conversion,[],[f795]) ).
cnf(s88,plain,
( ~ spl0_31
| spl0_88 ),
inference(sat_conversion,[],[f800]) ).
cnf(s89,plain,
( spl0_19
| ~ spl0_89 ),
inference(sat_conversion,[],[f805]) ).
cnf(s90,plain,
( ~ spl0_59
| spl0_90 ),
inference(sat_conversion,[],[f810]) ).
cnf(s95,plain,
( ~ spl0_41
| spl0_95 ),
inference(sat_conversion,[],[f835]) ).
cnf(s96,plain,
( ~ spl0_41
| ~ spl0_96 ),
inference(sat_conversion,[],[f840]) ).
cnf(s97,plain,
( ~ spl0_41
| ~ spl0_97 ),
inference(sat_conversion,[],[f845]) ).
cnf(s100,plain,
( ~ spl0_50
| spl0_100 ),
inference(sat_conversion,[],[f860]) ).
cnf(s101,plain,
( ~ spl0_50
| ~ spl0_101 ),
inference(sat_conversion,[],[f865]) ).
cnf(s102,plain,
( ~ spl0_57
| ~ spl0_102 ),
inference(sat_conversion,[],[f870]) ).
cnf(s103,plain,
( ~ spl0_40
| spl0_103 ),
inference(sat_conversion,[],[f875]) ).
cnf(s104,plain,
( ~ spl0_40
| ~ spl0_104 ),
inference(sat_conversion,[],[f880]) ).
cnf(s108,plain,
( ~ spl0_25
| spl0_108 ),
inference(sat_conversion,[],[f900]) ).
cnf(s109,plain,
( ~ spl0_25
| ~ spl0_109 ),
inference(sat_conversion,[],[f905]) ).
cnf(s110,plain,
( spl0_56
| ~ spl0_110 ),
inference(sat_conversion,[],[f910]) ).
cnf(s111,plain,
( spl0_56
| ~ spl0_111 ),
inference(sat_conversion,[],[f915]) ).
cnf(s112,plain,
( ~ spl0_52
| spl0_112 ),
inference(sat_conversion,[],[f920]) ).
cnf(s114,plain,
( ~ spl0_35
| ~ spl0_114 ),
inference(sat_conversion,[],[f930]) ).
cnf(s115,plain,
( ~ spl0_35
| spl0_115 ),
inference(sat_conversion,[],[f935]) ).
cnf(s116,plain,
( spl0_38
| ~ spl0_116 ),
inference(sat_conversion,[],[f940]) ).
cnf(s117,plain,
( spl0_26
| spl0_117 ),
inference(sat_conversion,[],[f945]) ).
cnf(s121,plain,
( spl0_33
| ~ spl0_121 ),
inference(sat_conversion,[],[f965]) ).
cnf(s122,plain,
( ~ spl0_28
| ~ spl0_122 ),
inference(sat_conversion,[],[f970]) ).
cnf(s125,plain,
( ~ spl0_51
| ~ spl0_125 ),
inference(sat_conversion,[],[f985]) ).
cnf(s126,plain,
( ~ spl0_51
| spl0_126 ),
inference(sat_conversion,[],[f990]) ).
cnf(s127,plain,
( ~ spl0_37
| ~ spl0_127 ),
inference(sat_conversion,[],[f995]) ).
cnf(s128,plain,
( ~ spl0_37
| spl0_128 ),
inference(sat_conversion,[],[f1000]) ).
cnf(s129,plain,
( spl0_23
| ~ spl0_129 ),
inference(sat_conversion,[],[f1005]) ).
cnf(s130,plain,
( spl0_23
| spl0_130 ),
inference(sat_conversion,[],[f1010]) ).
cnf(s131,plain,
( ~ spl0_31
| ~ spl0_131 ),
inference(sat_conversion,[],[f1015]) ).
cnf(s132,plain,
( ~ spl0_31
| spl0_132 ),
inference(sat_conversion,[],[f1020]) ).
cnf(s133,plain,
( spl0_19
| ~ spl0_133 ),
inference(sat_conversion,[],[f1025]) ).
cnf(s134,plain,
( spl0_19
| ~ spl0_134 ),
inference(sat_conversion,[],[f1030]) ).
cnf(s135,plain,
( ~ spl0_59
| spl0_135 ),
inference(sat_conversion,[],[f1035]) ).
cnf(s136,plain,
( ~ spl0_59
| spl0_136 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s140,plain,
( ~ spl0_50
| spl0_140 ),
inference(sat_conversion,[],[f1060]) ).
cnf(s141,plain,
( ~ spl0_57
| ~ spl0_141 ),
inference(sat_conversion,[],[f1065]) ).
cnf(s142,plain,
( ~ spl0_57
| ~ spl0_142 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s143,plain,
( ~ spl0_40
| ~ spl0_143 ),
inference(sat_conversion,[],[f1075]) ).
cnf(s144,plain,
( ~ spl0_25
| spl0_144 ),
inference(sat_conversion,[],[f1080]) ).
cnf(s145,plain,
( spl0_56
| ~ spl0_145 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s146,plain,
( ~ spl0_52
| ~ spl0_146 ),
inference(sat_conversion,[],[f1090]) ).
cnf(s147,plain,
( ~ spl0_52
| spl0_147 ),
inference(sat_conversion,[],[f1095]) ).
cnf(s148,plain,
( ~ spl0_53
| ~ spl0_148 ),
inference(sat_conversion,[],[f1100]) ).
cnf(s149,plain,
( ~ spl0_53
| spl0_149 ),
inference(sat_conversion,[],[f1105]) ).
cnf(s153,plain,
( spl0_61
| ~ spl0_153 ),
inference(sat_conversion,[],[f1125]) ).
cnf(s154,plain,
( spl0_61
| ~ spl0_154 ),
inference(sat_conversion,[],[f1130]) ).
cnf(s155,plain,
( spl0_61
| spl0_155 ),
inference(sat_conversion,[],[f1135]) ).
cnf(s156,plain,
( spl0_58
| ~ spl0_156 ),
inference(sat_conversion,[],[f1140]) ).
cnf(s157,plain,
( spl0_58
| ~ spl0_157 ),
inference(sat_conversion,[],[f1145]) ).
cnf(s158,plain,
( spl0_58
| spl0_158 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s159,plain,
( spl0_32
| ~ spl0_159 ),
inference(sat_conversion,[],[f1155]) ).
cnf(s160,plain,
( spl0_32
| spl0_160 ),
inference(sat_conversion,[],[f1160]) ).
cnf(s161,plain,
( spl0_32
| spl0_161 ),
inference(sat_conversion,[],[f1165]) ).
cnf(s166,plain,
( spl0_25
| ~ spl0_26
| spl0_41 ),
inference(sat_conversion,[],[f1170]) ).
cnf(s167,plain,
( spl0_31
| spl0_40
| ~ spl0_56 ),
inference(sat_conversion,[],[f1171]) ).
cnf(s168,plain,
( ~ spl0_19
| spl0_31
| ~ spl0_33 ),
inference(sat_conversion,[],[f1172]) ).
cnf(s169,plain,
( spl0_25
| spl0_31
| ~ spl0_33 ),
inference(sat_conversion,[],[f1173]) ).
cnf(s175,plain,
( ~ spl0_19
| ~ spl0_23
| ~ spl0_32 ),
inference(sat_conversion,[],[f1179]) ).
cnf(s189,plain,
( ~ spl0_3
| spl0_23 ),
inference(sat_conversion,[],[f1193]) ).
cnf(s191,plain,
( ~ spl0_3
| spl0_19 ),
inference(sat_conversion,[],[f1195]) ).
cnf(s208,plain,
( ~ spl0_3
| spl0_32 ),
inference(sat_conversion,[],[f1212]) ).
cnf(s215,plain,
( ~ spl0_4
| spl0_156
| spl0_157
| ~ spl0_168 ),
inference(sat_conversion,[],[f1289]) ).
cnf(s232,plain,
( ~ spl0_15
| spl0_77
| spl0_78
| spl0_121 ),
inference(sat_conversion,[],[f1504]) ).
cnf(s238,plain,
( ~ spl0_15
| spl0_89
| spl0_133
| spl0_183 ),
inference(sat_conversion,[],[f1522]) ).
cnf(s244,plain,
( ~ spl0_15
| spl0_102
| spl0_141
| spl0_166 ),
inference(sat_conversion,[],[f1528]) ).
cnf(s255,plain,
( ~ spl0_14
| spl0_68
| spl0_116
| spl0_163 ),
inference(sat_conversion,[],[f1567]) ).
cnf(s257,plain,
( ~ spl0_14
| spl0_80
| spl0_122
| spl0_181 ),
inference(sat_conversion,[],[f1569]) ).
cnf(s261,plain,
( ~ spl0_14
| spl0_89
| spl0_134
| spl0_183 ),
inference(sat_conversion,[],[f1573]) ).
cnf(s265,plain,
( ~ spl0_14
| spl0_102
| spl0_142
| spl0_166 ),
inference(sat_conversion,[],[f1577]) ).
cnf(s267,plain,
( ~ spl0_14
| spl0_110
| spl0_111
| spl0_145 ),
inference(sat_conversion,[],[f1579]) ).
cnf(s280,plain,
( ~ spl0_9
| spl0_89
| spl0_133
| spl0_134 ),
inference(sat_conversion,[],[f1615]) ).
cnf(s284,plain,
( ~ spl0_9
| spl0_141
| spl0_142
| spl0_166 ),
inference(sat_conversion,[],[f1619]) ).
cnf(s296,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f1631]) ).
cnf(s307,plain,
( ~ spl0_11
| ~ spl0_67
| spl0_68
| spl0_116 ),
inference(sat_conversion,[],[f1642]) ).
cnf(s309,plain,
( ~ spl0_16
| ~ spl0_82
| spl0_84
| spl0_185 ),
inference(sat_conversion,[],[f1696]) ).
cnf(s311,plain,
( ~ spl0_16
| ~ spl0_86
| spl0_127
| spl0_164 ),
inference(sat_conversion,[],[f1698]) ).
cnf(s315,plain,
( ~ spl0_16
| ~ spl0_103
| spl0_104
| spl0_143 ),
inference(sat_conversion,[],[f1702]) ).
cnf(s325,plain,
( ~ spl0_18
| ~ spl0_95
| spl0_96
| spl0_97 ),
inference(sat_conversion,[],[f1745]) ).
cnf(s337,plain,
( ~ spl0_7
| ~ spl0_112
| spl0_146
| ~ spl0_167 ),
inference(sat_conversion,[],[f1757]) ).
cnf(s348,plain,
( ~ spl0_5
| spl0_87
| spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f1768]) ).
cnf(s353,plain,
( ~ spl0_8
| ~ spl0_108
| spl0_109
| ~ spl0_144 ),
inference(sat_conversion,[],[f1773]) ).
cnf(s372,plain,
( ~ spl0_21
| spl0_154
| ~ spl0_155
| spl0_184 ),
inference(sat_conversion,[],[f1883]) ).
cnf(s373,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_21 ),
inference(sat_conversion,[],[f1884]) ).
cnf(s384,plain,
( ~ spl0_1
| ~ spl0_100
| spl0_101
| ~ spl0_140 ),
inference(sat_conversion,[],[f1923]) ).
cnf(s391,plain,
( ~ spl0_4
| spl0_153
| spl0_154
| ~ spl0_155 ),
inference(sat_conversion,[],[f1961]) ).
cnf(s392,plain,
( ~ spl0_4
| spl0_148
| ~ spl0_149
| spl0_177 ),
inference(sat_conversion,[],[f1962]) ).
cnf(s397,plain,
( ~ spl0_22
| spl0_154
| ~ spl0_155
| ~ spl0_184 ),
inference(sat_conversion,[],[f1967]) ).
cnf(s406,plain,
( ~ spl0_8
| ~ spl0_86
| ~ spl0_128
| spl0_164 ),
inference(sat_conversion,[],[f2018]) ).
cnf(s417,plain,
( ~ spl0_13
| ~ spl0_90
| ~ spl0_135
| ~ spl0_136 ),
inference(sat_conversion,[],[f2084]) ).
cnf(s420,plain,
( ~ spl0_12
| ~ spl0_108
| spl0_109
| ~ spl0_175 ),
inference(sat_conversion,[],[f2087]) ).
cnf(s426,plain,
( ~ spl0_34
| spl0_109
| ~ spl0_144
| spl0_175 ),
inference(sat_conversion,[],[f2093]) ).
cnf(s434,plain,
( ~ spl0_24
| ~ spl0_72
| ~ spl0_73
| ~ spl0_180 ),
inference(sat_conversion,[],[f2100]) ).
cnf(s449,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_36 ),
inference(sat_conversion,[],[f2234]) ).
cnf(s451,plain,
( ~ spl0_39
| ~ spl0_72
| ~ spl0_73
| ~ spl0_117 ),
inference(sat_conversion,[],[f2264]) ).
cnf(s459,plain,
( ~ spl0_42
| ~ spl0_73
| ~ spl0_117
| spl0_180 ),
inference(sat_conversion,[],[f2300]) ).
cnf(s477,plain,
( spl0_1
| ~ spl0_12
| ~ spl0_43 ),
inference(sat_conversion,[],[f2332]) ).
cnf(s479,plain,
( ~ spl0_2
| spl0_127
| ~ spl0_128
| ~ spl0_164 ),
inference(sat_conversion,[],[f2334]) ).
cnf(s480,plain,
( ~ spl0_2
| ~ spl0_135
| ~ spl0_136
| spl0_173 ),
inference(sat_conversion,[],[f2335]) ).
cnf(s486,plain,
( ~ spl0_6
| ~ spl0_86
| spl0_127
| ~ spl0_164 ),
inference(sat_conversion,[],[f2341]) ).
cnf(s495,plain,
( ~ spl0_24
| ~ spl0_108
| ~ spl0_144
| ~ spl0_175 ),
inference(sat_conversion,[],[f2350]) ).
cnf(s502,plain,
( ~ spl0_9
| spl0_156
| spl0_157
| spl0_168 ),
inference(sat_conversion,[],[f2357]) ).
cnf(s507,plain,
( ~ spl0_17
| ~ spl0_67
| spl0_68
| ~ spl0_163 ),
inference(sat_conversion,[],[f2362]) ).
cnf(s514,plain,
( ~ spl0_27
| ~ spl0_108
| ~ spl0_144
| spl0_175 ),
inference(sat_conversion,[],[f2456]) ).
cnf(s516,plain,
( ~ spl0_1
| ~ spl0_112
| ~ spl0_147
| spl0_167 ),
inference(sat_conversion,[],[f2458]) ).
cnf(s518,plain,
( ~ spl0_1
| ~ spl0_79
| spl0_80
| ~ spl0_181 ),
inference(sat_conversion,[],[f2460]) ).
cnf(s541,plain,
( ~ spl0_17
| ~ spl0_66
| ~ spl0_115
| spl0_179 ),
inference(sat_conversion,[],[f2512]) ).
cnf(s544,plain,
( ~ spl0_6
| ~ spl0_88
| spl0_131
| ~ spl0_132 ),
inference(sat_conversion,[],[f2515]) ).
cnf(s550,plain,
( ~ spl0_13
| ~ spl0_22
| ~ spl0_160
| ~ spl0_161 ),
inference(sat_conversion,[],[f2535]) ).
cnf(s551,plain,
( ~ spl0_10
| ~ spl0_27
| spl0_125
| ~ spl0_126 ),
inference(sat_conversion,[],[f2550]) ).
cnf(s552,plain,
( ~ spl0_9
| ~ spl0_27
| spl0_34 ),
inference(sat_conversion,[],[f2551]) ).
cnf(s556,plain,
( ~ spl0_4
| spl0_141
| spl0_142
| ~ spl0_166 ),
inference(sat_conversion,[],[f2553]) ).
cnf(s558,plain,
( ~ spl0_7
| spl0_148
| ~ spl0_149
| ~ spl0_177 ),
inference(sat_conversion,[],[f2555]) ).
cnf(s562,plain,
( ~ spl0_7
| ~ spl0_66
| spl0_114
| ~ spl0_115 ),
inference(sat_conversion,[],[f2559]) ).
cnf(s572,plain,
( ~ spl0_11
| ~ spl0_79
| spl0_122
| spl0_181 ),
inference(sat_conversion,[],[f2569]) ).
cnf(s590,plain,
( ~ spl0_21
| spl0_114
| ~ spl0_115
| spl0_179 ),
inference(sat_conversion,[],[f2587]) ).
cnf(s591,plain,
( ~ spl0_34
| spl0_85
| spl0_125
| ~ spl0_126 ),
inference(sat_conversion,[],[f2588]) ).
cnf(s598,plain,
( ~ spl0_9
| ~ spl0_16
| spl0_78
| spl0_121 ),
inference(sat_conversion,[],[f2627]) ).
cnf(s603,plain,
( ~ spl0_12
| ~ spl0_82
| spl0_84
| ~ spl0_185 ),
inference(sat_conversion,[],[f2632]) ).
cnf(s605,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f2634]) ).
cnf(s613,plain,
( ~ spl0_24
| ~ spl0_90
| ~ spl0_135
| ~ spl0_173 ),
inference(sat_conversion,[],[f2642]) ).
cnf(s615,plain,
( ~ spl0_34
| spl0_127
| ~ spl0_128
| spl0_164 ),
inference(sat_conversion,[],[f2644]) ).
cnf(s617,plain,
( ~ spl0_2
| spl0_159
| ~ spl0_160
| ~ spl0_161 ),
inference(sat_conversion,[],[f2646]) ).
cnf(s623,plain,
( ~ spl0_10
| spl0_133
| spl0_134
| ~ spl0_183 ),
inference(sat_conversion,[],[f2652]) ).
cnf(s625,plain,
( ~ spl0_10
| spl0_156
| spl0_157
| ~ spl0_158 ),
inference(sat_conversion,[],[f2654]) ).
cnf(s627,plain,
( ~ spl0_16
| ~ spl0_108
| spl0_109
| spl0_175 ),
inference(sat_conversion,[],[f2656]) ).
cnf(s631,plain,
( ~ spl0_22
| spl0_114
| ~ spl0_115
| ~ spl0_179 ),
inference(sat_conversion,[],[f2660]) ).
cnf(s644,plain,
( ~ spl0_7
| ~ spl0_39
| ~ spl0_136
| ~ spl0_173 ),
inference(sat_conversion,[],[f2697]) ).
cnf(s645,plain,
( spl0_19
| ~ spl0_15
| ~ spl0_10 ),
inference(rat,[],[s238,s623,s89,s133,s134]) ).
cnf(s647,plain,
( spl0_32
| ~ spl0_22
| ~ spl0_13 ),
inference(rat,[],[s550,s160,s161]) ).
cnf(s650,plain,
( spl0_33
| ~ spl0_15 ),
inference(rat,[],[s232,s77,s78,s121]) ).
cnf(s651,plain,
( ~ spl0_25
| ~ spl0_27
| ~ spl0_24 ),
inference(rat,[],[s514,s495,s108,s144]) ).
cnf(s653,plain,
( spl0_58
| ~ spl0_10 ),
inference(rat,[],[s625,s156,s157,s158]) ).
cnf(s654,plain,
( ~ spl0_35
| ~ spl0_21
| ~ spl0_22 ),
inference(rat,[],[s590,s631,s114,s115]) ).
cnf(s655,plain,
( ~ spl0_59
| ~ spl0_13 ),
inference(rat,[],[s417,s90,s135,s136]) ).
cnf(s656,plain,
( ~ spl0_35
| ~ spl0_7 ),
inference(rat,[],[s562,s66,s114,s115]) ).
cnf(s657,plain,
( ~ spl0_41
| ~ spl0_18 ),
inference(rat,[],[s325,s95,s96,s97]) ).
cnf(s658,plain,
( ~ spl0_25
| ~ spl0_34
| ~ spl0_12 ),
inference(rat,[],[s420,s426,s108,s109,s144]) ).
cnf(s659,plain,
( spl0_9
| spl0_8
| spl0_43
| spl0_35
| spl0_6
| spl0_3
| spl0_2 ),
inference(rat,[],[s434,s459,s72,s73,s117,s13,s166,s658,s25,s657,s605,s49,s653,s4,s3,s5,s655,s47]) ).
cnf(s661,plain,
( spl0_61
| ~ spl0_21
| ~ spl0_22 ),
inference(rat,[],[s372,s397,s154,s155]) ).
cnf(s663,plain,
( ~ spl0_57
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s284,s556,s141,s142]) ).
cnf(s664,plain,
( spl0_58
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s215,s502,s156,s157]) ).
cnf(s665,plain,
( spl0_61
| ~ spl0_4 ),
inference(rat,[],[s391,s153,s154,s155]) ).
cnf(s666,plain,
( ~ spl0_9
| spl0_43
| ~ spl0_12
| spl0_35
| ~ spl0_4
| spl0_3
| spl0_2 ),
inference(rat,[],[s434,s459,s72,s73,s117,s166,s25,s657,s605,s54,s13,s658,s49,s664,s663,s665]) ).
cnf(s667,plain,
( ~ spl0_25
| ~ spl0_8 ),
inference(rat,[],[s353,s108,s109,s144]) ).
cnf(s668,plain,
( spl0_6
| spl0_5
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s434,s459,s72,s73,s117,s166,s13,s667,s25,s657,s605,s659,s4,s666,s477,s5,s655,s47,s656,s2,s1]) ).
cnf(s669,plain,
( spl0_23
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s296,s129,s130]) ).
cnf(s670,plain,
( ~ spl0_9
| spl0_43
| ~ spl0_12
| ~ spl0_23
| ~ spl0_4
| spl0_3
| spl0_2 ),
inference(rat,[],[s656,s45,s666,s663]) ).
cnf(s671,plain,
( spl0_37
| ~ spl0_12
| ~ spl0_61
| spl0_3
| spl0_1 ),
inference(rat,[],[s309,s603,s82,s84,s59,s58]) ).
cnf(s672,plain,
( ~ spl0_12
| ~ spl0_6
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s541,s631,s66,s114,s115,s49,s653,s7,s3,s615,s311,s406,s486,s86,s127,s128,s671,s11,s670,s477,s665,s669,s1]) ).
cnf(s673,plain,
( ~ spl0_9
| spl0_78
| spl0_121
| ~ spl0_6
| ~ spl0_4
| spl0_3 ),
inference(rat,[],[s615,s486,s49,s86,s127,s128,s656,s59,s45,s598,s664,s663,s665,s669]) ).
cnf(s674,plain,
( spl0_5
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s647,s11,s18,s673,s78,s121,s30,s5,s672,s669,s373,s668,s1]) ).
cnf(s675,plain,
( spl0_23
| ~ spl0_5 ),
inference(rat,[],[s348,s87,s129,s130]) ).
cnf(s676,plain,
( spl0_25
| ~ spl0_42
| spl0_41
| spl0_3
| spl0_2 ),
inference(rat,[],[s434,s459,s72,s73,s117,s166,s13]) ).
cnf(s677,plain,
( ~ spl0_12
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s541,s631,s7,s66,s114,s115,s627,s659,s420,s667,s108,s109,s676,s25,s657,s605,s11,s4,s670,s672,s477,s1,s675,s674]) ).
cnf(s678,plain,
( spl0_19
| ~ spl0_9 ),
inference(rat,[],[s280,s89,s133,s134]) ).
cnf(s679,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_23
| ~ spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s486,s615,s86,s127,s128,s21,s647,s175,s678,s49,s47,s656,s45,s664,s663,s655]) ).
cnf(s680,plain,
( ~ spl0_10
| spl0_19
| spl0_9
| spl0_3 ),
inference(rat,[],[s261,s6,s623,s645,s134,s133,s89]) ).
cnf(s681,plain,
( ~ spl0_57
| spl0_9
| ~ spl0_4
| spl0_3 ),
inference(rat,[],[s6,s265,s244,s556,s102,s141,s142]) ).
cnf(s682,plain,
( ~ spl0_37
| ~ spl0_34
| ~ spl0_6 ),
inference(rat,[],[s486,s615,s86,s127,s128]) ).
cnf(s684,plain,
( ~ spl0_31
| ~ spl0_6 ),
inference(rat,[],[s544,s88,s131,s132]) ).
cnf(s690,plain,
( spl0_38
| ~ spl0_11 ),
inference(rat,[],[s307,s67,s68,s116]) ).
cnf(s691,plain,
( ~ spl0_40
| ~ spl0_16 ),
inference(rat,[],[s315,s103,s104,s143]) ).
cnf(s692,plain,
( spl0_56
| ~ spl0_14 ),
inference(rat,[],[s267,s110,s111,s145]) ).
cnf(s693,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s406,s486,s86,s127,s128,s59,s691,s167,s692,s6,s650,s169,s684,s667,s3,s680,s47,s654,s175,s18,s647,s11,s679,s655,s5,s677,s675,s674,s665,s1]) ).
cnf(s694,plain,
~ spl0_3,
inference(rat,[],[s175,s189,s191,s208]) ).
cnf(s695,plain,
( spl0_31
| spl0_9
| ~ spl0_61
| ~ spl0_2 ),
inference(rat,[],[s406,s479,s86,s127,s128,s59,s691,s167,s692,s6,s650,s169,s667,s3,s680,s48,s694]) ).
cnf(s696,plain,
( spl0_7
| spl0_6
| spl0_57 ),
inference(rat,[],[s675,s2,s45,s694]) ).
cnf(s697,plain,
( spl0_9
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s653,s3,s49,s406,s615,s479,s86,s127,s128,s59,s691,s53,s644,s480,s135,s136,s47,s656,s696,s684,s695,s681,s665,s694]) ).
cnf(s698,plain,
( ~ spl0_6
| ~ spl0_34
| ~ spl0_9
| ~ spl0_61 ),
inference(rat,[],[s598,s78,s121,s59,s168,s682,s684,s678,s694]) ).
cnf(s699,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s479,s615,s127,s128,s59,s691,s53,s644,s480,s135,s136,s47,s698,s49,s656,s42,s678,s664,s663,s697,s665,s694]) ).
cnf(s700,plain,
( spl0_32
| ~ spl0_2 ),
inference(rat,[],[s617,s159,s160,s161]) ).
cnf(s701,plain,
( ~ spl0_6
| spl0_9
| ~ spl0_2 ),
inference(rat,[],[s11,s661,s675,s695,s373,s684,s18,s700,s694]) ).
cnf(s702,plain,
( spl0_35
| spl0_9
| spl0_1 ),
inference(rat,[],[s12,s613,s680,s480,s3,s90,s135,s136,s449,s47,s20,s699,s701,s693,s694]) ).
cnf(s703,plain,
( spl0_9
| spl0_1 ),
inference(rat,[],[s675,s11,s2,s654,s656,s702,s701,s18,s700,s693,s694]) ).
cnf(s704,plain,
( spl0_26
| ~ spl0_39 ),
inference(rat,[],[s451,s72,s73,s117]) ).
cnf(s705,plain,
spl0_1,
inference(rat,[],[s480,s644,s135,s136,s47,s656,s2,s373,s14,s704,s552,s591,s675,s85,s125,s126,s175,s36,s678,s703,s700,s23,s699,s693,s694]) ).
cnf(s706,plain,
( ~ spl0_6
| ~ spl0_61
| spl0_9 ),
inference(rat,[],[s406,s486,s86,s127,s128,s59,s691,s167,s692,s6,s650,s169,s667,s3,s680,s48,s684,s694]) ).
cnf(s708,plain,
~ spl0_50,
inference(rat,[],[s384,s100,s101,s140,s705]) ).
cnf(s709,plain,
( ~ spl0_28
| ~ spl0_14 ),
inference(rat,[],[s518,s257,s79,s80,s122,s705]) ).
cnf(s711,plain,
( ~ spl0_51
| ~ spl0_34 ),
inference(rat,[],[s591,s85,s125,s126]) ).
cnf(s714,plain,
( ~ spl0_53
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s392,s558,s148,s149]) ).
cnf(s715,plain,
( ~ spl0_4
| spl0_9 ),
inference(rat,[],[s337,s516,s112,s146,s147,s38,s714,s696,s706,s681,s699,s665,s705,s694]) ).
cnf(s716,plain,
( spl0_6
| spl0_18
| spl0_9 ),
inference(rat,[],[s518,s572,s79,s80,s122,s29,s605,s4,s705,s694]) ).
cnf(s717,plain,
( ~ spl0_21
| ~ spl0_6
| spl0_9 ),
inference(rat,[],[s11,s675,s661,s373,s706,s694]) ).
cnf(s718,plain,
( spl0_25
| spl0_9 ),
inference(rat,[],[s507,s255,s67,s68,s116,s22,s647,s15,s18,s717,s709,s6,s650,s55,s169,s684,s716,s657,s166,s704,s23,s715,s694,s708]) ).
cnf(s719,plain,
spl0_9,
inference(rat,[],[s22,s650,s654,s690,s46,s14,s49,s4,s651,s711,s684,s12,s36,s48,s680,s653,s3,s667,s718,s704,s23,s715,s694]) ).
cnf(s720,plain,
spl0_19,
inference(rat,[],[s678,s719]) ).
cnf(s721,plain,
spl0_10,
inference(rat,[],[s35,s708,s694,s720]) ).
cnf(s722,plain,
spl0_58,
inference(rat,[],[s653,s721]) ).
cnf(s723,plain,
( spl0_2
| spl0_6 ),
inference(rat,[],[s337,s516,s112,s146,s147,s38,s714,s696,s663,s9,s705,s694,s719,s720]) ).
cnf(s724,plain,
spl0_6,
inference(rat,[],[s656,s2,s49,s675,s711,s175,s36,s700,s699,s723,s694,s722,s720]) ).
cnf(s725,plain,
~ spl0_31,
inference(rat,[],[s684,s724]) ).
cnf(s726,plain,
~ spl0_33,
inference(rat,[],[s168,s720,s725]) ).
cnf(s728,plain,
~ spl0_121,
inference(rat,[],[s121,s726]) ).
cnf(s729,plain,
~ spl0_78,
inference(rat,[],[s78,s726]) ).
cnf(s732,plain,
~ spl0_4,
inference(rat,[],[s673,s694,s728,s724,s719,s729]) ).
cnf(s734,plain,
spl0_39,
inference(rat,[],[s23,s694,s732]) ).
cnf(s735,plain,
spl0_51,
inference(rat,[],[s36,s720,s694,s732]) ).
cnf(s737,plain,
spl0_2,
inference(rat,[],[s9,s694,s720,s732]) ).
cnf(s738,plain,
spl0_26,
inference(rat,[],[s704,s734]) ).
cnf(s739,plain,
spl0_126,
inference(rat,[],[s126,s735]) ).
cnf(s740,plain,
~ spl0_125,
inference(rat,[],[s125,s735]) ).
cnf(s744,plain,
spl0_32,
inference(rat,[],[s700,s737]) ).
cnf(s745,plain,
~ spl0_27,
inference(rat,[],[s551,s739,s721,s740]) ).
cnf(s749,plain,
~ spl0_23,
inference(rat,[],[s175,s720,s744]) ).
cnf(s751,plain,
spl0_21,
inference(rat,[],[s14,s738,s694,s745]) ).
cnf(s759,plain,
~ spl0_5,
inference(rat,[],[s675,s749]) ).
cnf(s763,plain,
$false,
inference(rat,[],[s373,s724,s759,s751]) ).
fof(f2698,plain,
$false,
inference(avatar_sat_refutation,[],[s763]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN510-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n005.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 16:20:31 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.27 % (910302)Will run a generic schedule for satisfiability detection.
% 0.46/0.27 % (910308)% WARNING: option uhcvi not known.
% 0.46/0.27 % (910310)dis+10_1_sil=32000:sp=arity:random_seed=3964399696:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.46/0.27 % (910307)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3902582262_2999 on theBenchmark for (2999ds/0Mi)
% 0.46/0.27 % (910311)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3090705767:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.46/0.27 % (910309)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=44823840:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.46/0.27 % (910312)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=760042451:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.46/0.27 % (910313)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3707894363:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.46/0.27 % (910308)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1739591197:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.46/0.27 % Detected minimum model sizes of [1]
% 0.46/0.27 % Detected maximum model sizes of [32]
% 0.46/0.27 % TRYING [1]
% 0.46/0.27 % TRYING [2]
% 0.46/0.27 % TRYING [3]
% 0.46/0.27 % TRYING [4]
% 0.46/0.27 % (910313) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-910302-910313"...
% 0.46/0.27 % (910313)...printing done.
% 0.46/0.27 % (910313)Refutation found. Thanks to Tanya!
% 0.46/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.46/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.46/0.28 % (910313)------------------------------
% 0.46/0.28 % (910313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.28 % (910313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.28 % (910313)CaDiCaL version: 2.1.3
% 0.46/0.28 % (910313)Termination reason: Refutation
% 0.46/0.28 % (910313)Time elapsed: 0.033 s
% 0.46/0.28 % (910313)Peak memory usage: 13 MB
% 0.46/0.28 % (910313)Instructions burned: 53 (million)
% 0.46/0.28 % (910302)Success in time 0.067 s
% 0.46/0.28 % Vampire exiting
%------------------------------------------------------------------------------