%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN451-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:51:56 PM UTC 2026
% Result : Unsatisfiable 0.64s 0.71s
% Output : Refutation 2.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 218
% Syntax : Number of formulae : 728 ( 38 unt; 119 def)
% Number of atoms : 2212 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2621 (1137 ~;1365 |; 0 &)
% ( 119 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 146 ( 145 usr; 142 prp; 0-1 aty)
% Number of functors : 21 ( 21 usr; 21 con; 0-0 aty)
% Number of variables : 127 ( 0 sgn 127 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( hskp0
| hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f6,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f7,negated_conjecture,
( ~ hskp23
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f17,negated_conjecture,
( ~ hskp13
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f32,negated_conjecture,
( hskp23
| hskp24
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
( hskp16
| hskp18
| hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
( hskp0
| hskp5
| hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f39,negated_conjecture,
( ~ hskp27
| c0_1(a750) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
( ~ hskp27
| c1_1(a750) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
( ~ hskp27
| c2_1(a750) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( ~ hskp26
| c1_1(a737) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( ~ hskp26
| c2_1(a737) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( ~ hskp26
| c3_1(a737) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( ~ hskp25
| c0_1(a729) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( ~ hskp25
| c2_1(a729) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( ~ hskp25
| c3_1(a729) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( ~ hskp24
| c0_1(a802) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( ~ hskp23
| c0_1(a798) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( ~ hskp23
| c1_1(a798) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f52,negated_conjecture,
( ~ hskp21
| c0_1(a793) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( ~ hskp21
| c3_1(a793) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( ~ hskp20
| c2_1(a779) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( ~ hskp19
| c2_1(a777) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f56,negated_conjecture,
( ~ hskp18
| c1_1(a775) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f59,negated_conjecture,
( ~ hskp16
| c0_1(a764) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( ~ hskp16
| c2_1(a764) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( ~ hskp15
| c0_1(a763) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( ~ hskp15
| c1_1(a763) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f64,negated_conjecture,
( ~ hskp13
| c2_1(a759) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( ~ hskp13
| c3_1(a759) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f68,negated_conjecture,
( ~ hskp9
| c3_1(a746) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( ~ hskp8
| c3_1(a744) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f73,negated_conjecture,
( ~ hskp5
| c2_1(a735) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( ~ hskp5
| c3_1(a735) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f76,negated_conjecture,
( ~ hskp3
| c2_1(a733) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp1
| c1_1(a731) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( ~ hskp1
| c3_1(a731) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( ~ hskp0
| c0_1(a730) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp0
| c3_1(a730) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( ~ c2_1(a802)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( ~ c3_1(a802)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( ~ c3_1(a798)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f86,negated_conjecture,
( ~ c2_1(a793)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( ~ c1_1(a779)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( ~ c3_1(a779)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f89,negated_conjecture,
( ~ c0_1(a777)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( ~ c3_1(a777)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( ~ c2_1(a775)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( ~ c3_1(a775)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f94,negated_conjecture,
( ~ c3_1(a764)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f95,negated_conjecture,
( ~ c2_1(a763)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f98,negated_conjecture,
( ~ c1_1(a759)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f100,negated_conjecture,
( ~ c0_1(a749)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ c1_1(a749)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ c3_1(a749)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ c0_1(a748)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ c1_1(a748)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ c2_1(a748)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ c0_1(a746)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ c2_1(a746)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ c0_1(a744)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ c1_1(a744)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f113,negated_conjecture,
( ~ c0_1(a735)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f116,negated_conjecture,
( ~ c0_1(a733)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ c1_1(a733)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ c0_1(a732)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ c2_1(a732)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ c3_1(a732)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ c2_1(a731)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ c1_1(a730)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| hskp0
| hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f125,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| c3_1(X0)
| hskp5
| hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f128,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| hskp1
| hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f133,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp0
| hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| hskp27
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f135,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp25
| hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
fof(f136,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp16
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f140,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp5
| hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f141,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp18
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f143,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f147,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f148,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f149,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f156,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c0_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f158,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c2_1(X0)
| c0_1(X1)
| c3_1(X1)
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f159,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f160,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f161,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X0)
| c1_1(X1)
| c3_1(X1)
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f162,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c3_1(X1)
| hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
fof(f164,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f165,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f167,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f168,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f170,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X2)
| c2_1(X0)
| c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f171,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)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f172,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2)
| c2_1(X0)
| c0_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f173,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X2)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2)
| c0_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f175,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f177,definition,
( spl0_1
<=> ! [X2] :
( ~ c2_1(X2)
| c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f178,plain,
( ! [X2] :
( ~ c3_1(X2)
| c0_1(X2)
| ~ c2_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f180,definition,
( spl0_2
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f181,plain,
( ! [X1] :
( c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f183,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f186,definition,
( spl0_4
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f187,plain,
( ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f188,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f175,f186,f183,f180,f177]) ).
fof(f190,definition,
( spl0_5
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f191,plain,
( ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f193,definition,
( spl0_6
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f194,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f195,plain,
( spl0_5
| spl0_1
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f174,f193,f183,f177,f190]) ).
fof(f197,definition,
( spl0_7
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f198,plain,
( ! [X2] :
( c1_1(X2)
| c3_1(X2)
| ~ c2_1(X2) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f200,definition,
( spl0_8
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f201,plain,
( ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| c2_1(X1) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,definition,
( spl0_9
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f204,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f205,plain,
( spl0_7
| spl0_8
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f173,f203,f183,f200,f197]) ).
fof(f207,definition,
( spl0_10
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f208,plain,
( ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f210,definition,
( spl0_11
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f211,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f212,plain,
( spl0_5
| spl0_10
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f172,f210,f183,f207,f190]) ).
fof(f214,definition,
( spl0_12
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f215,plain,
( ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c0_1(X2) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f217,definition,
( spl0_13
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f218,plain,
( ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f220,definition,
( spl0_14
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f221,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f222,plain,
( spl0_12
| spl0_13
| ~ spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f171,f220,f183,f217,f214]) ).
fof(f223,plain,
( spl0_5
| spl0_7
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f170,f217,f183,f197,f190]) ).
fof(f228,definition,
( spl0_16
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f229,plain,
( ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f232,definition,
( spl0_17
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f233,plain,
( ! [X2] :
( c1_1(X2)
| c2_1(X2)
| c0_1(X2) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f235,definition,
( spl0_18
<=> ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f236,plain,
( ! [X1] :
( c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f237,plain,
( spl0_17
| spl0_18
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f168,f203,f183,f235,f232]) ).
fof(f239,definition,
( spl0_19
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f242,definition,
( spl0_20
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f243,plain,
( ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f245,definition,
( spl0_21
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f246,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f247,plain,
( spl0_19
| spl0_20
| ~ spl0_3
| spl0_21 ),
inference(avatar_split_clause,[],[f167,f245,f183,f242,f239]) ).
fof(f249,definition,
( spl0_22
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f256,definition,
( spl0_24
<=> hskp26 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f259,definition,
( spl0_25
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f260,plain,
( ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f261,plain,
( spl0_24
| spl0_25
| ~ spl0_3
| spl0_21 ),
inference(avatar_split_clause,[],[f165,f245,f183,f259,f256]) ).
fof(f263,definition,
( spl0_26
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f265,plain,
( spl0_26
| spl0_18
| ~ spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f164,f220,f183,f235,f263]) ).
fof(f267,definition,
( spl0_27
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f270,definition,
( spl0_28
<=> ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f271,plain,
( ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f274,definition,
( spl0_29
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f276,plain,
( spl0_29
| spl0_7
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f162,f210,f183,f197,f274]) ).
fof(f278,definition,
( spl0_30
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f281,definition,
( spl0_31
<=> ! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f282,plain,
( ! [X0] :
( c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f283,plain,
( spl0_30
| spl0_7
| ~ spl0_3
| spl0_31 ),
inference(avatar_split_clause,[],[f161,f281,f183,f197,f278]) ).
fof(f285,definition,
( spl0_32
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f288,definition,
( spl0_33
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f289,plain,
( ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f290,plain,
( spl0_32
| spl0_33
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f160,f210,f183,f288,f285]) ).
fof(f292,definition,
( spl0_34
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f294,plain,
( spl0_34
| spl0_10
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f159,f259,f183,f207,f292]) ).
fof(f296,definition,
( spl0_35
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f299,definition,
( spl0_36
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f300,plain,
( ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c0_1(X1) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f301,plain,
( spl0_35
| spl0_36
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f158,f217,f183,f299,f296]) ).
fof(f304,definition,
( spl0_37
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f306,plain,
( spl0_37
| spl0_28
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f156,f177,f183,f270,f304]) ).
fof(f319,definition,
( spl0_41
<=> ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f320,plain,
( ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| c2_1(X0) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f328,definition,
( spl0_43
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f331,definition,
( spl0_44
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f332,plain,
( ! [X1] :
( c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl0_45
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f337,plain,
( spl0_45
| spl0_17
| ~ spl0_3
| spl0_31 ),
inference(avatar_split_clause,[],[f149,f281,f183,f232,f335]) ).
fof(f339,definition,
( spl0_46
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f342,definition,
( spl0_47
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f343,plain,
( ! [X1] :
( c3_1(X1)
| c0_1(X1)
| c2_1(X1) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f344,plain,
( spl0_46
| spl0_47
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f148,f235,f183,f342,f339]) ).
fof(f346,definition,
( spl0_48
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f348,plain,
( spl0_48
| spl0_12
| ~ spl0_3
| spl0_41 ),
inference(avatar_split_clause,[],[f147,f319,f183,f214,f346]) ).
fof(f359,definition,
( spl0_51
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f361,plain,
( spl0_51
| ~ spl0_3
| spl0_21 ),
inference(avatar_split_clause,[],[f143,f245,f183,f359]) ).
fof(f366,plain,
( spl0_32
| spl0_29
| ~ spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f141,f242,f183,f274,f285]) ).
fof(f368,definition,
( spl0_53
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f370,plain,
( spl0_53
| spl0_30
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f140,f180,f183,f278,f368]) ).
fof(f372,definition,
( spl0_54
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f380,plain,
( spl0_48
| spl0_22
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f136,f200,f183,f249,f346]) ).
fof(f382,definition,
( spl0_56
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f384,plain,
( spl0_56
| spl0_45
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f135,f200,f183,f335,f382]) ).
fof(f385,plain,
( spl0_30
| spl0_27
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f134,f228,f183,f267,f278]) ).
fof(f386,plain,
( spl0_56
| spl0_43
| ~ spl0_3
| spl0_36 ),
inference(avatar_split_clause,[],[f133,f299,f183,f328,f382]) ).
fof(f397,plain,
( spl0_34
| spl0_19
| ~ spl0_3
| spl0_44 ),
inference(avatar_split_clause,[],[f128,f331,f183,f239,f292]) ).
fof(f403,plain,
( spl0_56
| spl0_30
| spl0_47
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f125,f183,f342,f278,f382]) ).
fof(f405,plain,
( spl0_19
| spl0_43
| spl0_17
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f123,f183,f232,f328,f239]) ).
fof(f408,definition,
( spl0_60
<=> c1_1(a730) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f409,plain,
( ~ c1_1(a730)
| spl0_60 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f410,plain,
( ~ spl0_43
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f122,f408,f328]) ).
fof(f413,definition,
( spl0_61
<=> c2_1(a731) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f415,plain,
( ~ spl0_19
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f121,f413,f239]) ).
fof(f418,definition,
( spl0_62
<=> c3_1(a732) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f419,plain,
( ~ c3_1(a732)
| spl0_62 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f420,plain,
( ~ spl0_34
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f120,f418,f292]) ).
fof(f422,definition,
( spl0_63
<=> c2_1(a732) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f424,plain,
( ~ spl0_34
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f119,f422,f292]) ).
fof(f426,definition,
( spl0_64
<=> c0_1(a732) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f428,plain,
( ~ spl0_34
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f118,f426,f292]) ).
fof(f431,definition,
( spl0_65
<=> c1_1(a733) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f432,plain,
( ~ c1_1(a733)
| spl0_65 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f433,plain,
( ~ spl0_48
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f117,f431,f346]) ).
fof(f435,definition,
( spl0_66
<=> c0_1(a733) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f437,plain,
( ~ spl0_48
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f116,f435,f346]) ).
fof(f449,definition,
( spl0_69
<=> c0_1(a735) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f451,plain,
( ~ spl0_30
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f113,f449,f278]) ).
fof(f468,definition,
( spl0_73
<=> c1_1(a744) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f469,plain,
( ~ c1_1(a744)
| spl0_73 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f470,plain,
( ~ spl0_46
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f109,f468,f339]) ).
fof(f472,definition,
( spl0_74
<=> c0_1(a744) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f474,plain,
( ~ spl0_46
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f108,f472,f339]) ).
fof(f477,definition,
( spl0_75
<=> c2_1(a746) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f479,plain,
( ~ spl0_56
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f107,f477,f382]) ).
fof(f481,definition,
( spl0_76
<=> c0_1(a746) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f483,plain,
( ~ spl0_56
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f106,f481,f382]) ).
fof(f486,definition,
( spl0_77
<=> c2_1(a748) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f488,plain,
( ~ spl0_37
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f105,f486,f304]) ).
fof(f490,definition,
( spl0_78
<=> c1_1(a748) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f491,plain,
( ~ c1_1(a748)
| spl0_78 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f492,plain,
( ~ spl0_37
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f104,f490,f304]) ).
fof(f494,definition,
( spl0_79
<=> c0_1(a748) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f496,plain,
( ~ spl0_37
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f103,f494,f304]) ).
fof(f499,definition,
( spl0_80
<=> c3_1(a749) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f500,plain,
( ~ c3_1(a749)
| spl0_80 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f501,plain,
( ~ spl0_32
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f102,f499,f285]) ).
fof(f503,definition,
( spl0_81
<=> c1_1(a749) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f504,plain,
( ~ c1_1(a749)
| spl0_81 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f505,plain,
( ~ spl0_32
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f101,f503,f285]) ).
fof(f507,definition,
( spl0_82
<=> c0_1(a749) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f509,plain,
( ~ spl0_32
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f100,f507,f285]) ).
fof(f517,definition,
( spl0_84
<=> c1_1(a759) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f518,plain,
( ~ c1_1(a759)
| spl0_84 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f519,plain,
( ~ spl0_35
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f98,f517,f296]) ).
fof(f531,definition,
( spl0_87
<=> c2_1(a763) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f533,plain,
( ~ spl0_26
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f95,f531,f263]) ).
fof(f536,definition,
( spl0_88
<=> c3_1(a764) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f537,plain,
( ~ c3_1(a764)
| spl0_88 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f538,plain,
( ~ spl0_22
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f94,f536,f249]) ).
fof(f546,definition,
( spl0_90
<=> c3_1(a775) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f547,plain,
( ~ c3_1(a775)
| spl0_90 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f548,plain,
( ~ spl0_29
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f92,f546,f274]) ).
fof(f550,definition,
( spl0_91
<=> c2_1(a775) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f552,plain,
( ~ spl0_29
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f91,f550,f274]) ).
fof(f555,definition,
( spl0_92
<=> c3_1(a777) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f556,plain,
( ~ c3_1(a777)
| spl0_92 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f557,plain,
( ~ spl0_54
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f90,f555,f372]) ).
fof(f559,definition,
( spl0_93
<=> c0_1(a777) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f561,plain,
( ~ spl0_54
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f89,f559,f372]) ).
fof(f564,definition,
( spl0_94
<=> c3_1(a779) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f566,plain,
( ~ spl0_53
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f88,f564,f368]) ).
fof(f568,definition,
( spl0_95
<=> c1_1(a779) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f569,plain,
( ~ c1_1(a779)
| spl0_95 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f570,plain,
( ~ spl0_53
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f87,f568,f368]) ).
fof(f573,definition,
( spl0_96
<=> c2_1(a793) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f575,plain,
( ~ spl0_51
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f86,f573,f359]) ).
fof(f586,definition,
( spl0_99
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f589,definition,
( spl0_100
<=> c3_1(a798) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f591,plain,
( ~ spl0_99
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f83,f589,f586]) ).
fof(f593,definition,
( spl0_101
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f596,definition,
( spl0_102
<=> c3_1(a802) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f597,plain,
( ~ c3_1(a802)
| spl0_102 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f598,plain,
( ~ spl0_101
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f82,f596,f593]) ).
fof(f600,definition,
( spl0_103
<=> c2_1(a802) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f602,plain,
( ~ spl0_101
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f81,f600,f593]) ).
fof(f604,definition,
( spl0_104
<=> c3_1(a730) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f605,plain,
( c3_1(a730)
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f606,plain,
( spl0_104
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f80,f328,f604]) ).
fof(f608,definition,
( spl0_105
<=> c0_1(a730) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f610,plain,
( spl0_105
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f79,f328,f608]) ).
fof(f612,definition,
( spl0_106
<=> c3_1(a731) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f613,plain,
( c3_1(a731)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f614,plain,
( spl0_106
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f78,f239,f612]) ).
fof(f616,definition,
( spl0_107
<=> c1_1(a731) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f617,plain,
( c1_1(a731)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f618,plain,
( spl0_107
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f77,f239,f616]) ).
fof(f620,definition,
( spl0_108
<=> c2_1(a733) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f622,plain,
( spl0_108
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f76,f346,f620]) ).
fof(f628,definition,
( spl0_110
<=> c3_1(a735) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f629,plain,
( c3_1(a735)
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f630,plain,
( spl0_110
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f74,f278,f628]) ).
fof(f632,definition,
( spl0_111
<=> c2_1(a735) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f634,plain,
( spl0_111
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f73,f278,f632]) ).
fof(f648,definition,
( spl0_115
<=> c3_1(a744) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f649,plain,
( c3_1(a744)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f650,plain,
( spl0_115
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f69,f339,f648]) ).
fof(f652,definition,
( spl0_116
<=> c3_1(a746) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f653,plain,
( c3_1(a746)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f654,plain,
( spl0_116
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f68,f382,f652]) ).
fof(f664,definition,
( spl0_119
<=> c3_1(a759) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f666,plain,
( spl0_119
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f65,f296,f664]) ).
fof(f668,definition,
( spl0_120
<=> c2_1(a759) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f670,plain,
( spl0_120
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f64,f296,f668]) ).
fof(f676,definition,
( spl0_122
<=> c1_1(a763) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f677,plain,
( c1_1(a763)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f678,plain,
( spl0_122
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f62,f263,f676]) ).
fof(f680,definition,
( spl0_123
<=> c0_1(a763) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f682,plain,
( spl0_123
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f61,f263,f680]) ).
fof(f684,definition,
( spl0_124
<=> c2_1(a764) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f686,plain,
( spl0_124
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f60,f249,f684]) ).
fof(f688,definition,
( spl0_125
<=> c0_1(a764) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f690,plain,
( spl0_125
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f59,f249,f688]) ).
fof(f700,definition,
( spl0_128
<=> c1_1(a775) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f701,plain,
( c1_1(a775)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f702,plain,
( spl0_128
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f56,f274,f700]) ).
fof(f704,definition,
( spl0_129
<=> c2_1(a777) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f706,plain,
( spl0_129
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f55,f372,f704]) ).
fof(f708,definition,
( spl0_130
<=> c2_1(a779) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f710,plain,
( spl0_130
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f54,f368,f708]) ).
fof(f712,definition,
( spl0_131
<=> c3_1(a793) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f713,plain,
( c3_1(a793)
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f714,plain,
( spl0_131
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f53,f359,f712]) ).
fof(f716,definition,
( spl0_132
<=> c0_1(a793) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f718,plain,
( spl0_132
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f52,f359,f716]) ).
fof(f724,definition,
( spl0_134
<=> c1_1(a798) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f725,plain,
( c1_1(a798)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f726,plain,
( spl0_134
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f50,f586,f724]) ).
fof(f728,definition,
( spl0_135
<=> c0_1(a798) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f730,plain,
( spl0_135
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f49,f586,f728]) ).
fof(f732,definition,
( spl0_136
<=> c0_1(a802) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f734,plain,
( spl0_136
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f48,f593,f732]) ).
fof(f736,definition,
( spl0_137
<=> c3_1(a729) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f737,plain,
( c3_1(a729)
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f739,plain,
( spl0_137
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f47,f335,f736]) ).
fof(f741,definition,
( spl0_138
<=> c2_1(a729) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f743,plain,
( spl0_138
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f46,f335,f741]) ).
fof(f745,definition,
( spl0_139
<=> c0_1(a729) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f747,plain,
( spl0_139
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f45,f335,f745]) ).
fof(f749,definition,
( spl0_140
<=> c3_1(a737) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f752,plain,
( spl0_140
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f44,f256,f749]) ).
fof(f754,definition,
( spl0_141
<=> c2_1(a737) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f756,plain,
( spl0_141
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f43,f256,f754]) ).
fof(f758,definition,
( spl0_142
<=> c1_1(a737) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f759,plain,
( c1_1(a737)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f760,plain,
( spl0_142
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f42,f256,f758]) ).
fof(f762,definition,
( spl0_143
<=> c2_1(a750) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f765,plain,
( spl0_143
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f41,f267,f762]) ).
fof(f767,definition,
( spl0_144
<=> c1_1(a750) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f768,plain,
( c1_1(a750)
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f769,plain,
( spl0_144
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f40,f267,f767]) ).
fof(f771,definition,
( spl0_145
<=> c0_1(a750) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f773,plain,
( spl0_145
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f39,f267,f771]) ).
fof(f788,plain,
( spl0_54
| spl0_30
| spl0_43 ),
inference(avatar_split_clause,[],[f34,f328,f278,f372]) ).
fof(f789,plain,
( spl0_54
| spl0_29
| spl0_22 ),
inference(avatar_split_clause,[],[f33,f249,f274,f372]) ).
fof(f792,plain,
( spl0_35
| spl0_101
| spl0_99 ),
inference(avatar_split_clause,[],[f32,f586,f593,f296]) ).
fof(f808,plain,
( spl0_3
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f17,f296,f183]) ).
fof(f818,plain,
( spl0_3
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f7,f586,f183]) ).
fof(f819,plain,
( spl0_3
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f6,f593,f183]) ).
fof(f824,plain,
( spl0_46
| spl0_43 ),
inference(avatar_split_clause,[],[f1,f328,f339]) ).
fof(f825,plain,
( ~ c2_1(a730)
| ~ c3_1(a730)
| ~ spl0_2
| spl0_60 ),
inference(resolution,[],[f181,f409]) ).
fof(f827,plain,
( ~ c2_1(a759)
| ~ c3_1(a759)
| ~ spl0_2
| spl0_84 ),
inference(resolution,[],[f181,f518]) ).
fof(f830,plain,
( ~ spl0_119
| ~ spl0_120
| ~ spl0_2
| spl0_84 ),
inference(avatar_split_clause,[],[f827,f517,f180,f668,f664]) ).
fof(f833,definition,
( spl0_149
<=> c2_1(a730) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f838,plain,
( c2_1(a731)
| ~ c0_1(a731)
| ~ spl0_4
| ~ spl0_106 ),
inference(resolution,[],[f187,f613]) ).
fof(f839,plain,
( c2_1(a730)
| ~ c0_1(a730)
| ~ spl0_4
| ~ spl0_104 ),
inference(resolution,[],[f187,f605]) ).
fof(f842,plain,
( ~ spl0_105
| spl0_149
| ~ spl0_4
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f839,f604,f186,f833,f608]) ).
fof(f844,definition,
( spl0_150
<=> c0_1(a731) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f847,plain,
( ~ spl0_150
| spl0_61
| ~ spl0_4
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f838,f612,f186,f413,f844]) ).
fof(f856,definition,
( spl0_151
<=> c2_1(a744) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f870,plain,
( c3_1(a779)
| ~ c2_1(a779)
| ~ spl0_7
| spl0_95 ),
inference(resolution,[],[f198,f569]) ).
fof(f876,definition,
( spl0_153
<=> c2_1(a749) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f882,plain,
( ~ spl0_130
| spl0_94
| ~ spl0_7
| spl0_95 ),
inference(avatar_split_clause,[],[f870,f568,f197,f564,f708]) ).
fof(f917,plain,
( c0_1(a731)
| ~ c3_1(a731)
| ~ spl0_10
| ~ spl0_107 ),
inference(resolution,[],[f208,f617]) ).
fof(f918,plain,
( ~ spl0_106
| spl0_150
| ~ spl0_10
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f917,f616,f207,f844,f612]) ).
fof(f927,plain,
( c3_1(a779)
| c0_1(a779)
| ~ spl0_12
| spl0_95 ),
inference(resolution,[],[f215,f569]) ).
fof(f936,definition,
( spl0_155
<=> c0_1(a779) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f938,plain,
( spl0_155
| spl0_94
| ~ spl0_12
| spl0_95 ),
inference(avatar_split_clause,[],[f927,f568,f214,f564,f936]) ).
fof(f964,plain,
( c3_1(a779)
| ~ c0_1(a779)
| ~ spl0_16
| spl0_95 ),
inference(resolution,[],[f229,f569]) ).
fof(f972,plain,
( ~ spl0_155
| spl0_94
| ~ spl0_16
| spl0_95 ),
inference(avatar_split_clause,[],[f964,f568,f228,f564,f936]) ).
fof(f974,plain,
( ! [X0] :
( c2_1(X0)
| c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_11
| ~ spl0_17 ),
inference(resolution,[],[f233,f211]) ).
fof(f975,plain,
( ! [X0] :
( c2_1(X0)
| c0_1(X0)
| c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_10
| ~ spl0_17 ),
inference(resolution,[],[f233,f208]) ).
fof(f979,plain,
( c2_1(a744)
| c0_1(a744)
| ~ spl0_17
| spl0_73 ),
inference(resolution,[],[f233,f469]) ).
fof(f981,plain,
( c2_1(a749)
| c0_1(a749)
| ~ spl0_17
| spl0_81 ),
inference(resolution,[],[f233,f504]) ).
fof(f982,plain,
( ! [X0] :
( c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_10
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f975]) ).
fof(f983,plain,
( ! [X0] :
( c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_11
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f974]) ).
fof(f985,plain,
( spl0_82
| spl0_153
| ~ spl0_17
| spl0_81 ),
inference(avatar_split_clause,[],[f981,f503,f232,f876,f507]) ).
fof(f1027,plain,
( ~ c0_1(a730)
| ~ c2_1(a730)
| ~ spl0_21
| ~ spl0_104 ),
inference(resolution,[],[f246,f605]) ).
fof(f1028,plain,
( ~ spl0_149
| ~ spl0_105
| ~ spl0_21
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1027,f604,f245,f608,f833]) ).
fof(f1034,plain,
( c2_1(a793)
| ~ c0_1(a793)
| ~ spl0_4
| ~ spl0_131 ),
inference(resolution,[],[f713,f187]) ).
fof(f1037,plain,
( ~ spl0_132
| spl0_96
| ~ spl0_4
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1034,f712,f186,f573,f716]) ).
fof(f1043,plain,
( spl0_5
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f983,f232,f210,f190]) ).
fof(f1044,plain,
( spl0_5
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f982,f232,f207,f190]) ).
fof(f1095,plain,
( ~ c0_1(a775)
| c2_1(a775)
| ~ spl0_8
| spl0_90 ),
inference(resolution,[],[f201,f547]) ).
fof(f1106,definition,
( spl0_161
<=> c0_1(a775) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f1140,plain,
( ~ c2_1(a777)
| c0_1(a777)
| ~ spl0_18
| spl0_92 ),
inference(resolution,[],[f236,f556]) ).
fof(f1155,plain,
( spl0_93
| ~ spl0_129
| ~ spl0_18
| spl0_92 ),
inference(avatar_split_clause,[],[f1140,f555,f235,f704,f559]) ).
fof(f1177,plain,
( ~ c0_1(a729)
| ~ c2_1(a729)
| ~ spl0_21
| ~ spl0_137 ),
inference(resolution,[],[f246,f737]) ).
fof(f1215,plain,
( c2_1(a748)
| c0_1(a748)
| ~ spl0_17
| spl0_78 ),
inference(resolution,[],[f491,f233]) ).
fof(f1218,plain,
( spl0_79
| spl0_77
| ~ spl0_17
| spl0_78 ),
inference(avatar_split_clause,[],[f1215,f490,f232,f486,f494]) ).
fof(f1263,plain,
( ~ c0_1(a802)
| c2_1(a802)
| ~ spl0_8
| spl0_102 ),
inference(resolution,[],[f597,f201]) ).
fof(f1266,plain,
( spl0_103
| ~ spl0_136
| ~ spl0_8
| spl0_102 ),
inference(avatar_split_clause,[],[f1263,f596,f200,f732,f600]) ).
fof(f1278,definition,
( spl0_164
<=> c3_1(a748) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1279,plain,
( c3_1(a748)
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f1288,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_7
| ~ spl0_20 ),
inference(resolution,[],[f243,f198]) ).
fof(f1291,plain,
( c3_1(a775)
| ~ c0_1(a775)
| ~ spl0_20
| ~ spl0_128 ),
inference(resolution,[],[f243,f701]) ).
fof(f1296,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_7
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f1288]) ).
fof(f1304,plain,
( c2_1(a775)
| c0_1(a775)
| ~ spl0_28
| ~ spl0_128 ),
inference(resolution,[],[f271,f701]) ).
fof(f1311,plain,
( spl0_161
| spl0_91
| ~ spl0_28
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1304,f700,f270,f550,f1106]) ).
fof(f1335,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_7
| ~ spl0_36 ),
inference(resolution,[],[f300,f198]) ).
fof(f1336,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| c2_1(X0)
| c0_1(X0) )
| ~ spl0_17
| ~ spl0_36 ),
inference(resolution,[],[f300,f233]) ).
fof(f1338,plain,
( c3_1(a775)
| c0_1(a775)
| ~ spl0_36
| ~ spl0_128 ),
inference(resolution,[],[f300,f701]) ).
fof(f1343,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| c2_1(X0) )
| ~ spl0_17
| ~ spl0_36 ),
inference(duplicate_literal_removal,[],[f1336]) ).
fof(f1344,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_7
| ~ spl0_36 ),
inference(duplicate_literal_removal,[],[f1335]) ).
fof(f1353,plain,
( spl0_47
| ~ spl0_17
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1343,f299,f232,f342]) ).
fof(f1373,plain,
( c3_1(a775)
| c2_1(a775)
| ~ spl0_41
| ~ spl0_128 ),
inference(resolution,[],[f320,f701]) ).
fof(f1393,plain,
( ~ c2_1(a744)
| c0_1(a744)
| ~ spl0_44
| spl0_73 ),
inference(resolution,[],[f332,f469]) ).
fof(f1420,plain,
( c0_1(a732)
| c2_1(a732)
| ~ spl0_47
| spl0_62 ),
inference(resolution,[],[f343,f419]) ).
fof(f1425,plain,
( spl0_63
| spl0_64
| ~ spl0_47
| spl0_62 ),
inference(avatar_split_clause,[],[f1420,f418,f342,f426,f422]) ).
fof(f1449,plain,
( ~ spl0_104
| ~ spl0_149
| ~ spl0_2
| spl0_60 ),
inference(avatar_split_clause,[],[f825,f408,f180,f833,f604]) ).
fof(f1454,plain,
( spl0_161
| spl0_90
| ~ spl0_36
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1338,f700,f299,f546,f1106]) ).
fof(f1464,plain,
( c0_1(a775)
| c2_1(a775)
| ~ spl0_47
| spl0_90 ),
inference(resolution,[],[f547,f343]) ).
fof(f1467,plain,
( spl0_91
| spl0_161
| ~ spl0_47
| spl0_90 ),
inference(avatar_split_clause,[],[f1464,f546,f342,f1106,f550]) ).
fof(f1472,plain,
( c2_1(a731)
| c0_1(a731)
| ~ spl0_5
| ~ spl0_106 ),
inference(resolution,[],[f613,f191]) ).
fof(f1473,plain,
( spl0_150
| spl0_61
| ~ spl0_5
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1472,f612,f190,f413,f844]) ).
fof(f1497,plain,
( c0_1(a735)
| ~ c2_1(a735)
| ~ spl0_1
| ~ spl0_110 ),
inference(resolution,[],[f178,f629]) ).
fof(f1504,plain,
( ~ spl0_111
| spl0_69
| ~ spl0_1
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1497,f628,f177,f449,f632]) ).
fof(f1521,plain,
( c3_1(a749)
| ~ c2_1(a749)
| ~ spl0_7
| spl0_81 ),
inference(resolution,[],[f198,f504]) ).
fof(f1534,plain,
( c2_1(a731)
| ~ c3_1(a731)
| ~ spl0_11
| ~ spl0_107 ),
inference(resolution,[],[f211,f617]) ).
fof(f1537,plain,
( ~ spl0_106
| spl0_61
| ~ spl0_11
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1534,f616,f210,f413,f612]) ).
fof(f1545,plain,
( ~ c2_1(a749)
| c0_1(a749)
| ~ spl0_18
| spl0_80 ),
inference(resolution,[],[f500,f236]) ).
fof(f1549,plain,
( c3_1(a749)
| c0_1(a749)
| ~ spl0_12
| spl0_81 ),
inference(resolution,[],[f215,f504]) ).
fof(f1551,plain,
( spl0_82
| spl0_80
| ~ spl0_12
| spl0_81 ),
inference(avatar_split_clause,[],[f1549,f503,f214,f499,f507]) ).
fof(f1557,plain,
( c2_1(a730)
| ~ c0_1(a730)
| ~ spl0_25
| spl0_60 ),
inference(resolution,[],[f260,f409]) ).
fof(f1561,plain,
( ~ spl0_105
| spl0_149
| ~ spl0_25
| spl0_60 ),
inference(avatar_split_clause,[],[f1557,f408,f259,f833,f608]) ).
fof(f1566,plain,
( ! [X0] :
( c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_2
| ~ spl0_10 ),
inference(resolution,[],[f208,f181]) ).
fof(f1583,plain,
( ! [X0] :
( c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_2
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f1566]) ).
fof(f1590,plain,
( c2_1(a730)
| ~ c3_1(a730)
| ~ spl0_33
| spl0_60 ),
inference(resolution,[],[f289,f409]) ).
fof(f1594,plain,
( ~ spl0_104
| spl0_149
| ~ spl0_33
| spl0_60 ),
inference(avatar_split_clause,[],[f1590,f408,f288,f833,f604]) ).
fof(f1612,plain,
( ~ spl0_161
| spl0_90
| ~ spl0_20
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1291,f700,f242,f546,f1106]) ).
fof(f1616,plain,
( spl0_91
| spl0_90
| ~ spl0_41
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1373,f700,f319,f546,f550]) ).
fof(f1633,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f204,f181]) ).
fof(f1637,plain,
( ~ c2_1(a750)
| ~ c0_1(a750)
| ~ spl0_9
| ~ spl0_144 ),
inference(resolution,[],[f204,f768]) ).
fof(f1643,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_2
| ~ spl0_9 ),
inference(duplicate_literal_removal,[],[f1633]) ).
fof(f1646,plain,
( ~ spl0_145
| ~ spl0_143
| ~ spl0_9
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f1637,f767,f203,f762,f771]) ).
fof(f1650,plain,
( spl0_21
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1643,f203,f180,f245]) ).
fof(f1671,plain,
( c2_1(a775)
| ~ c0_1(a775)
| ~ spl0_13
| ~ spl0_128 ),
inference(resolution,[],[f218,f701]) ).
fof(f1672,plain,
( c2_1(a763)
| ~ c0_1(a763)
| ~ spl0_13
| ~ spl0_122 ),
inference(resolution,[],[f218,f677]) ).
fof(f1675,plain,
( ~ spl0_123
| spl0_87
| ~ spl0_13
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1672,f676,f217,f531,f680]) ).
fof(f1676,plain,
( ~ spl0_161
| spl0_91
| ~ spl0_13
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1671,f700,f217,f550,f1106]) ).
fof(f1690,plain,
( spl0_18
| ~ spl0_7
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1344,f299,f197,f235]) ).
fof(f1693,plain,
( spl0_74
| spl0_151
| ~ spl0_17
| spl0_73 ),
inference(avatar_split_clause,[],[f979,f468,f232,f856,f472]) ).
fof(f1712,plain,
( ~ spl0_138
| ~ spl0_139
| ~ spl0_21
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1177,f736,f245,f745,f741]) ).
fof(f1727,plain,
( ~ c2_1(a733)
| ~ c3_1(a733)
| ~ spl0_2
| spl0_65 ),
inference(resolution,[],[f432,f181]) ).
fof(f1729,definition,
( spl0_167
<=> c3_1(a733) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
fof(f1730,plain,
( ~ c3_1(a733)
| spl0_167 ),
inference(avatar_component_clause,[],[f1729]) ).
fof(f1732,plain,
( ~ spl0_167
| ~ spl0_108
| ~ spl0_2
| spl0_65 ),
inference(avatar_split_clause,[],[f1727,f431,f180,f620,f1729]) ).
fof(f1733,plain,
( ~ c2_1(a744)
| ~ c3_1(a744)
| ~ spl0_2
| spl0_73 ),
inference(resolution,[],[f469,f181]) ).
fof(f1734,plain,
( ~ spl0_115
| ~ spl0_151
| ~ spl0_2
| spl0_73 ),
inference(avatar_split_clause,[],[f1733,f468,f180,f856,f648]) ).
fof(f1754,plain,
( ~ c3_1(a737)
| ~ c2_1(a737)
| ~ spl0_6
| ~ spl0_142 ),
inference(resolution,[],[f194,f759]) ).
fof(f1760,plain,
( ~ spl0_141
| ~ spl0_140
| ~ spl0_6
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1754,f758,f193,f749,f754]) ).
fof(f1769,plain,
( ~ spl0_153
| spl0_80
| ~ spl0_7
| spl0_81 ),
inference(avatar_split_clause,[],[f1521,f503,f197,f499,f876]) ).
fof(f1772,plain,
( spl0_91
| ~ spl0_161
| ~ spl0_8
| spl0_90 ),
inference(avatar_split_clause,[],[f1095,f546,f200,f1106,f550]) ).
fof(f1776,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1583,f207,f180,f177]) ).
fof(f1787,plain,
( spl0_82
| ~ spl0_153
| ~ spl0_18
| spl0_80 ),
inference(avatar_split_clause,[],[f1545,f499,f235,f876,f507]) ).
fof(f1788,plain,
( spl0_74
| ~ spl0_151
| ~ spl0_44
| spl0_73 ),
inference(avatar_split_clause,[],[f1393,f468,f331,f856,f472]) ).
fof(f1821,plain,
( c2_1(a746)
| c0_1(a746)
| ~ spl0_5
| ~ spl0_116 ),
inference(resolution,[],[f191,f653]) ).
fof(f1826,plain,
( spl0_76
| spl0_75
| ~ spl0_5
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1821,f652,f190,f477,f481]) ).
fof(f1854,plain,
( c3_1(a748)
| c0_1(a748)
| ~ spl0_12
| spl0_78 ),
inference(resolution,[],[f215,f491]) ).
fof(f1855,plain,
( spl0_79
| spl0_164
| ~ spl0_12
| spl0_78 ),
inference(avatar_split_clause,[],[f1854,f490,f214,f1278,f494]) ).
fof(f1875,plain,
( c3_1(a798)
| ~ c0_1(a798)
| ~ spl0_20
| ~ spl0_134 ),
inference(resolution,[],[f243,f725]) ).
fof(f1880,plain,
( ~ spl0_135
| spl0_100
| ~ spl0_20
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1875,f724,f242,f589,f728]) ).
fof(f1883,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_11
| ~ spl0_31 ),
inference(resolution,[],[f282,f211]) ).
fof(f1884,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_13
| ~ spl0_31 ),
inference(resolution,[],[f282,f218]) ).
fof(f1887,plain,
( ~ c0_1(a730)
| ~ c3_1(a730)
| ~ spl0_31
| spl0_60 ),
inference(resolution,[],[f282,f409]) ).
fof(f1889,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) )
| ~ spl0_13
| ~ spl0_31 ),
inference(duplicate_literal_removal,[],[f1884]) ).
fof(f1890,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) )
| ~ spl0_11
| ~ spl0_31 ),
inference(duplicate_literal_removal,[],[f1883]) ).
fof(f1892,plain,
( ~ spl0_104
| ~ spl0_105
| ~ spl0_31
| spl0_60 ),
inference(avatar_split_clause,[],[f1887,f408,f281,f608,f604]) ).
fof(f1899,plain,
( spl0_4
| ~ spl0_13
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1889,f281,f217,f186]) ).
fof(f1900,plain,
( spl0_4
| ~ spl0_11
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1890,f281,f210,f186]) ).
fof(f1961,plain,
( c2_1(a748)
| c0_1(a748)
| ~ spl0_5
| ~ spl0_164 ),
inference(resolution,[],[f1279,f191]) ).
fof(f1962,plain,
( spl0_79
| spl0_77
| ~ spl0_5
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f1961,f1278,f190,f486,f494]) ).
fof(f1979,plain,
( ~ c2_1(a733)
| c0_1(a733)
| ~ spl0_18
| spl0_167 ),
inference(resolution,[],[f1730,f236]) ).
fof(f1980,plain,
( spl0_66
| ~ spl0_108
| ~ spl0_18
| spl0_167 ),
inference(avatar_split_clause,[],[f1979,f1729,f235,f620,f435]) ).
fof(f2002,plain,
( ~ c0_1(a764)
| ~ c2_1(a764)
| ~ spl0_7
| ~ spl0_20
| spl0_88 ),
inference(resolution,[],[f1296,f537]) ).
fof(f2012,plain,
( ~ spl0_124
| ~ spl0_125
| ~ spl0_7
| ~ spl0_20
| spl0_88 ),
inference(avatar_split_clause,[],[f2002,f536,f242,f197,f688,f684]) ).
fof(f2024,plain,
( c2_1(a731)
| ~ c0_1(a731)
| ~ spl0_13
| ~ spl0_107 ),
inference(resolution,[],[f617,f218]) ).
fof(f2025,plain,
( ~ spl0_150
| spl0_61
| ~ spl0_13
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f2024,f616,f217,f413,f844]) ).
fof(f2028,plain,
( c2_1(a744)
| c0_1(a744)
| ~ spl0_5
| ~ spl0_115 ),
inference(resolution,[],[f649,f191]) ).
fof(f2029,plain,
( spl0_74
| spl0_151
| ~ spl0_5
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f2028,f648,f190,f856,f472]) ).
fof(f2036,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_2
| ~ spl0_14 ),
inference(resolution,[],[f221,f181]) ).
fof(f2044,plain,
( ~ c3_1(a731)
| ~ c0_1(a731)
| ~ spl0_14
| ~ spl0_107 ),
inference(resolution,[],[f221,f617]) ).
fof(f2045,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_2
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f2036]) ).
fof(f2046,plain,
( ~ spl0_150
| ~ spl0_106
| ~ spl0_14
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f2044,f616,f220,f612,f844]) ).
fof(f2049,plain,
( spl0_21
| ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f2045,f220,f180,f245]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f188]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_3
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f195]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_7
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f205]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_5
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f212]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_12
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f222]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_5
| spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f223]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_9
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f237]) ).
cnf(s9,plain,
( ~ spl0_3
| spl0_19
| spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f247]) ).
cnf(s11,plain,
( ~ spl0_3
| spl0_21
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f261]) ).
cnf(s12,plain,
( ~ spl0_3
| spl0_14
| spl0_18
| spl0_26 ),
inference(sat_conversion,[],[f265]) ).
cnf(s14,plain,
( ~ spl0_3
| spl0_7
| spl0_11
| spl0_29 ),
inference(sat_conversion,[],[f276]) ).
cnf(s15,plain,
( ~ spl0_3
| spl0_7
| spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f283]) ).
cnf(s16,plain,
( ~ spl0_3
| spl0_11
| spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f290]) ).
cnf(s17,plain,
( ~ spl0_3
| spl0_10
| spl0_25
| spl0_34 ),
inference(sat_conversion,[],[f294]) ).
cnf(s18,plain,
( ~ spl0_3
| spl0_13
| spl0_35
| spl0_36 ),
inference(sat_conversion,[],[f301]) ).
cnf(s20,plain,
( spl0_1
| ~ spl0_3
| spl0_28
| spl0_37 ),
inference(sat_conversion,[],[f306]) ).
cnf(s27,plain,
( ~ spl0_3
| spl0_17
| spl0_31
| spl0_45 ),
inference(sat_conversion,[],[f337]) ).
cnf(s28,plain,
( ~ spl0_3
| spl0_18
| spl0_46
| spl0_47 ),
inference(sat_conversion,[],[f344]) ).
cnf(s29,plain,
( ~ spl0_3
| spl0_12
| spl0_41
| spl0_48 ),
inference(sat_conversion,[],[f348]) ).
cnf(s33,plain,
( ~ spl0_3
| spl0_21
| spl0_51 ),
inference(sat_conversion,[],[f361]) ).
cnf(s35,plain,
( ~ spl0_3
| spl0_20
| spl0_29
| spl0_32 ),
inference(sat_conversion,[],[f366]) ).
cnf(s36,plain,
( spl0_2
| ~ spl0_3
| spl0_30
| spl0_53 ),
inference(sat_conversion,[],[f370]) ).
cnf(s40,plain,
( ~ spl0_3
| spl0_8
| spl0_22
| spl0_48 ),
inference(sat_conversion,[],[f380]) ).
cnf(s41,plain,
( ~ spl0_3
| spl0_8
| spl0_45
| spl0_56 ),
inference(sat_conversion,[],[f384]) ).
cnf(s42,plain,
( ~ spl0_3
| spl0_16
| spl0_27
| spl0_30 ),
inference(sat_conversion,[],[f385]) ).
cnf(s43,plain,
( ~ spl0_3
| spl0_36
| spl0_43
| spl0_56 ),
inference(sat_conversion,[],[f386]) ).
cnf(s48,plain,
( ~ spl0_3
| spl0_19
| spl0_34
| spl0_44 ),
inference(sat_conversion,[],[f397]) ).
cnf(s51,plain,
( ~ spl0_3
| spl0_30
| spl0_47
| spl0_56 ),
inference(sat_conversion,[],[f403]) ).
cnf(s53,plain,
( ~ spl0_3
| spl0_17
| spl0_19
| spl0_43 ),
inference(sat_conversion,[],[f405]) ).
cnf(s54,plain,
( ~ spl0_43
| ~ spl0_60 ),
inference(sat_conversion,[],[f410]) ).
cnf(s55,plain,
( ~ spl0_19
| ~ spl0_61 ),
inference(sat_conversion,[],[f415]) ).
cnf(s56,plain,
( ~ spl0_34
| ~ spl0_62 ),
inference(sat_conversion,[],[f420]) ).
cnf(s57,plain,
( ~ spl0_34
| ~ spl0_63 ),
inference(sat_conversion,[],[f424]) ).
cnf(s58,plain,
( ~ spl0_34
| ~ spl0_64 ),
inference(sat_conversion,[],[f428]) ).
cnf(s59,plain,
( ~ spl0_48
| ~ spl0_65 ),
inference(sat_conversion,[],[f433]) ).
cnf(s60,plain,
( ~ spl0_48
| ~ spl0_66 ),
inference(sat_conversion,[],[f437]) ).
cnf(s63,plain,
( ~ spl0_30
| ~ spl0_69 ),
inference(sat_conversion,[],[f451]) ).
cnf(s67,plain,
( ~ spl0_46
| ~ spl0_73 ),
inference(sat_conversion,[],[f470]) ).
cnf(s68,plain,
( ~ spl0_46
| ~ spl0_74 ),
inference(sat_conversion,[],[f474]) ).
cnf(s69,plain,
( ~ spl0_56
| ~ spl0_75 ),
inference(sat_conversion,[],[f479]) ).
cnf(s70,plain,
( ~ spl0_56
| ~ spl0_76 ),
inference(sat_conversion,[],[f483]) ).
cnf(s71,plain,
( ~ spl0_37
| ~ spl0_77 ),
inference(sat_conversion,[],[f488]) ).
cnf(s72,plain,
( ~ spl0_37
| ~ spl0_78 ),
inference(sat_conversion,[],[f492]) ).
cnf(s73,plain,
( ~ spl0_37
| ~ spl0_79 ),
inference(sat_conversion,[],[f496]) ).
cnf(s74,plain,
( ~ spl0_32
| ~ spl0_80 ),
inference(sat_conversion,[],[f501]) ).
cnf(s75,plain,
( ~ spl0_32
| ~ spl0_81 ),
inference(sat_conversion,[],[f505]) ).
cnf(s76,plain,
( ~ spl0_32
| ~ spl0_82 ),
inference(sat_conversion,[],[f509]) ).
cnf(s78,plain,
( ~ spl0_35
| ~ spl0_84 ),
inference(sat_conversion,[],[f519]) ).
cnf(s81,plain,
( ~ spl0_26
| ~ spl0_87 ),
inference(sat_conversion,[],[f533]) ).
cnf(s82,plain,
( ~ spl0_22
| ~ spl0_88 ),
inference(sat_conversion,[],[f538]) ).
cnf(s84,plain,
( ~ spl0_29
| ~ spl0_90 ),
inference(sat_conversion,[],[f548]) ).
cnf(s85,plain,
( ~ spl0_29
| ~ spl0_91 ),
inference(sat_conversion,[],[f552]) ).
cnf(s86,plain,
( ~ spl0_54
| ~ spl0_92 ),
inference(sat_conversion,[],[f557]) ).
cnf(s87,plain,
( ~ spl0_54
| ~ spl0_93 ),
inference(sat_conversion,[],[f561]) ).
cnf(s88,plain,
( ~ spl0_53
| ~ spl0_94 ),
inference(sat_conversion,[],[f566]) ).
cnf(s89,plain,
( ~ spl0_53
| ~ spl0_95 ),
inference(sat_conversion,[],[f570]) ).
cnf(s90,plain,
( ~ spl0_51
| ~ spl0_96 ),
inference(sat_conversion,[],[f575]) ).
cnf(s93,plain,
( ~ spl0_99
| ~ spl0_100 ),
inference(sat_conversion,[],[f591]) ).
cnf(s94,plain,
( ~ spl0_101
| ~ spl0_102 ),
inference(sat_conversion,[],[f598]) ).
cnf(s95,plain,
( ~ spl0_101
| ~ spl0_103 ),
inference(sat_conversion,[],[f602]) ).
cnf(s96,plain,
( ~ spl0_43
| spl0_104 ),
inference(sat_conversion,[],[f606]) ).
cnf(s97,plain,
( ~ spl0_43
| spl0_105 ),
inference(sat_conversion,[],[f610]) ).
cnf(s98,plain,
( ~ spl0_19
| spl0_106 ),
inference(sat_conversion,[],[f614]) ).
cnf(s99,plain,
( ~ spl0_19
| spl0_107 ),
inference(sat_conversion,[],[f618]) ).
cnf(s100,plain,
( ~ spl0_48
| spl0_108 ),
inference(sat_conversion,[],[f622]) ).
cnf(s102,plain,
( ~ spl0_30
| spl0_110 ),
inference(sat_conversion,[],[f630]) ).
cnf(s103,plain,
( ~ spl0_30
| spl0_111 ),
inference(sat_conversion,[],[f634]) ).
cnf(s107,plain,
( ~ spl0_46
| spl0_115 ),
inference(sat_conversion,[],[f650]) ).
cnf(s108,plain,
( ~ spl0_56
| spl0_116 ),
inference(sat_conversion,[],[f654]) ).
cnf(s111,plain,
( ~ spl0_35
| spl0_119 ),
inference(sat_conversion,[],[f666]) ).
cnf(s112,plain,
( ~ spl0_35
| spl0_120 ),
inference(sat_conversion,[],[f670]) ).
cnf(s114,plain,
( ~ spl0_26
| spl0_122 ),
inference(sat_conversion,[],[f678]) ).
cnf(s115,plain,
( ~ spl0_26
| spl0_123 ),
inference(sat_conversion,[],[f682]) ).
cnf(s116,plain,
( ~ spl0_22
| spl0_124 ),
inference(sat_conversion,[],[f686]) ).
cnf(s117,plain,
( ~ spl0_22
| spl0_125 ),
inference(sat_conversion,[],[f690]) ).
cnf(s120,plain,
( ~ spl0_29
| spl0_128 ),
inference(sat_conversion,[],[f702]) ).
cnf(s121,plain,
( ~ spl0_54
| spl0_129 ),
inference(sat_conversion,[],[f706]) ).
cnf(s122,plain,
( ~ spl0_53
| spl0_130 ),
inference(sat_conversion,[],[f710]) ).
cnf(s123,plain,
( ~ spl0_51
| spl0_131 ),
inference(sat_conversion,[],[f714]) ).
cnf(s124,plain,
( ~ spl0_51
| spl0_132 ),
inference(sat_conversion,[],[f718]) ).
cnf(s126,plain,
( ~ spl0_99
| spl0_134 ),
inference(sat_conversion,[],[f726]) ).
cnf(s127,plain,
( ~ spl0_99
| spl0_135 ),
inference(sat_conversion,[],[f730]) ).
cnf(s128,plain,
( ~ spl0_101
| spl0_136 ),
inference(sat_conversion,[],[f734]) ).
cnf(s129,plain,
( ~ spl0_45
| spl0_137 ),
inference(sat_conversion,[],[f739]) ).
cnf(s130,plain,
( ~ spl0_45
| spl0_138 ),
inference(sat_conversion,[],[f743]) ).
cnf(s131,plain,
( ~ spl0_45
| spl0_139 ),
inference(sat_conversion,[],[f747]) ).
cnf(s132,plain,
( ~ spl0_24
| spl0_140 ),
inference(sat_conversion,[],[f752]) ).
cnf(s133,plain,
( ~ spl0_24
| spl0_141 ),
inference(sat_conversion,[],[f756]) ).
cnf(s134,plain,
( ~ spl0_24
| spl0_142 ),
inference(sat_conversion,[],[f760]) ).
cnf(s135,plain,
( ~ spl0_27
| spl0_143 ),
inference(sat_conversion,[],[f765]) ).
cnf(s136,plain,
( ~ spl0_27
| spl0_144 ),
inference(sat_conversion,[],[f769]) ).
cnf(s137,plain,
( ~ spl0_27
| spl0_145 ),
inference(sat_conversion,[],[f773]) ).
cnf(s142,plain,
( spl0_30
| spl0_43
| spl0_54 ),
inference(sat_conversion,[],[f788]) ).
cnf(s143,plain,
( spl0_22
| spl0_29
| spl0_54 ),
inference(sat_conversion,[],[f789]) ).
cnf(s144,plain,
( spl0_35
| spl0_99
| spl0_101 ),
inference(sat_conversion,[],[f792]) ).
cnf(s159,plain,
( spl0_3
| ~ spl0_35 ),
inference(sat_conversion,[],[f808]) ).
cnf(s169,plain,
( spl0_3
| ~ spl0_99 ),
inference(sat_conversion,[],[f818]) ).
cnf(s170,plain,
( spl0_3
| ~ spl0_101 ),
inference(sat_conversion,[],[f819]) ).
cnf(s175,plain,
( spl0_43
| spl0_46 ),
inference(sat_conversion,[],[f824]) ).
cnf(s176,plain,
( ~ spl0_2
| spl0_84
| ~ spl0_119
| ~ spl0_120 ),
inference(sat_conversion,[],[f830]) ).
cnf(s178,plain,
( ~ spl0_4
| ~ spl0_104
| ~ spl0_105
| spl0_149 ),
inference(sat_conversion,[],[f842]) ).
cnf(s179,plain,
( ~ spl0_4
| spl0_61
| ~ spl0_106
| ~ spl0_150 ),
inference(sat_conversion,[],[f847]) ).
cnf(s185,plain,
( ~ spl0_7
| spl0_94
| spl0_95
| ~ spl0_130 ),
inference(sat_conversion,[],[f882]) ).
cnf(s191,plain,
( ~ spl0_10
| ~ spl0_106
| ~ spl0_107
| spl0_150 ),
inference(sat_conversion,[],[f918]) ).
cnf(s194,plain,
( ~ spl0_12
| spl0_94
| spl0_95
| spl0_155 ),
inference(sat_conversion,[],[f938]) ).
cnf(s197,plain,
( ~ spl0_16
| spl0_94
| spl0_95
| ~ spl0_155 ),
inference(sat_conversion,[],[f972]) ).
cnf(s198,plain,
( ~ spl0_17
| spl0_81
| spl0_82
| spl0_153 ),
inference(sat_conversion,[],[f985]) ).
cnf(s207,plain,
( ~ spl0_21
| ~ spl0_104
| ~ spl0_105
| ~ spl0_149 ),
inference(sat_conversion,[],[f1028]) ).
cnf(s210,plain,
( ~ spl0_4
| spl0_96
| ~ spl0_131
| ~ spl0_132 ),
inference(sat_conversion,[],[f1037]) ).
cnf(s216,plain,
( spl0_5
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f1043]) ).
cnf(s217,plain,
( spl0_5
| ~ spl0_10
| ~ spl0_17 ),
inference(sat_conversion,[],[f1044]) ).
cnf(s235,plain,
( ~ spl0_18
| spl0_92
| spl0_93
| ~ spl0_129 ),
inference(sat_conversion,[],[f1155]) ).
cnf(s248,plain,
( ~ spl0_17
| spl0_77
| spl0_78
| spl0_79 ),
inference(sat_conversion,[],[f1218]) ).
cnf(s275,plain,
( ~ spl0_8
| spl0_102
| spl0_103
| ~ spl0_136 ),
inference(sat_conversion,[],[f1266]) ).
cnf(s282,plain,
( ~ spl0_28
| spl0_91
| ~ spl0_128
| spl0_161 ),
inference(sat_conversion,[],[f1311]) ).
cnf(s289,plain,
( ~ spl0_17
| ~ spl0_36
| spl0_47 ),
inference(sat_conversion,[],[f1353]) ).
cnf(s297,plain,
( ~ spl0_47
| spl0_62
| spl0_63
| spl0_64 ),
inference(sat_conversion,[],[f1425]) ).
cnf(s321,plain,
( ~ spl0_2
| spl0_60
| ~ spl0_104
| ~ spl0_149 ),
inference(sat_conversion,[],[f1449]) ).
cnf(s326,plain,
( ~ spl0_36
| spl0_90
| ~ spl0_128
| spl0_161 ),
inference(sat_conversion,[],[f1454]) ).
cnf(s336,plain,
( ~ spl0_47
| spl0_90
| spl0_91
| spl0_161 ),
inference(sat_conversion,[],[f1467]) ).
cnf(s338,plain,
( ~ spl0_5
| spl0_61
| ~ spl0_106
| spl0_150 ),
inference(sat_conversion,[],[f1473]) ).
cnf(s344,plain,
( ~ spl0_1
| spl0_69
| ~ spl0_110
| ~ spl0_111 ),
inference(sat_conversion,[],[f1504]) ).
cnf(s355,plain,
( ~ spl0_11
| spl0_61
| ~ spl0_106
| ~ spl0_107 ),
inference(sat_conversion,[],[f1537]) ).
cnf(s362,plain,
( ~ spl0_12
| spl0_80
| spl0_81
| spl0_82 ),
inference(sat_conversion,[],[f1551]) ).
cnf(s364,plain,
( ~ spl0_25
| spl0_60
| ~ spl0_105
| spl0_149 ),
inference(sat_conversion,[],[f1561]) ).
cnf(s373,plain,
( ~ spl0_33
| spl0_60
| ~ spl0_104
| spl0_149 ),
inference(sat_conversion,[],[f1594]) ).
cnf(s391,plain,
( ~ spl0_20
| spl0_90
| ~ spl0_128
| ~ spl0_161 ),
inference(sat_conversion,[],[f1612]) ).
cnf(s395,plain,
( ~ spl0_41
| spl0_90
| spl0_91
| ~ spl0_128 ),
inference(sat_conversion,[],[f1616]) ).
cnf(s406,plain,
( ~ spl0_9
| ~ spl0_143
| ~ spl0_144
| ~ spl0_145 ),
inference(sat_conversion,[],[f1646]) ).
cnf(s408,plain,
( ~ spl0_2
| ~ spl0_9
| spl0_21 ),
inference(sat_conversion,[],[f1650]) ).
cnf(s412,plain,
( ~ spl0_13
| spl0_87
| ~ spl0_122
| ~ spl0_123 ),
inference(sat_conversion,[],[f1675]) ).
cnf(s413,plain,
( ~ spl0_13
| spl0_91
| ~ spl0_128
| ~ spl0_161 ),
inference(sat_conversion,[],[f1676]) ).
cnf(s427,plain,
( ~ spl0_7
| spl0_18
| ~ spl0_36 ),
inference(sat_conversion,[],[f1690]) ).
cnf(s430,plain,
( ~ spl0_17
| spl0_73
| spl0_74
| spl0_151 ),
inference(sat_conversion,[],[f1693]) ).
cnf(s449,plain,
( ~ spl0_21
| ~ spl0_137
| ~ spl0_138
| ~ spl0_139 ),
inference(sat_conversion,[],[f1712]) ).
cnf(s463,plain,
( ~ spl0_2
| spl0_65
| ~ spl0_108
| ~ spl0_167 ),
inference(sat_conversion,[],[f1732]) ).
cnf(s464,plain,
( ~ spl0_2
| spl0_73
| ~ spl0_115
| ~ spl0_151 ),
inference(sat_conversion,[],[f1734]) ).
cnf(s478,plain,
( ~ spl0_6
| ~ spl0_140
| ~ spl0_141
| ~ spl0_142 ),
inference(sat_conversion,[],[f1760]) ).
cnf(s487,plain,
( ~ spl0_7
| spl0_80
| spl0_81
| ~ spl0_153 ),
inference(sat_conversion,[],[f1769]) ).
cnf(s490,plain,
( ~ spl0_8
| spl0_90
| spl0_91
| ~ spl0_161 ),
inference(sat_conversion,[],[f1772]) ).
cnf(s494,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(sat_conversion,[],[f1776]) ).
cnf(s505,plain,
( ~ spl0_18
| spl0_80
| spl0_82
| ~ spl0_153 ),
inference(sat_conversion,[],[f1787]) ).
cnf(s506,plain,
( ~ spl0_44
| spl0_73
| spl0_74
| ~ spl0_151 ),
inference(sat_conversion,[],[f1788]) ).
cnf(s530,plain,
( ~ spl0_5
| spl0_75
| spl0_76
| ~ spl0_116 ),
inference(sat_conversion,[],[f1826]) ).
cnf(s537,plain,
( ~ spl0_12
| spl0_78
| spl0_79
| spl0_164 ),
inference(sat_conversion,[],[f1855]) ).
cnf(s540,plain,
( ~ spl0_20
| spl0_100
| ~ spl0_134
| ~ spl0_135 ),
inference(sat_conversion,[],[f1880]) ).
cnf(s542,plain,
( ~ spl0_31
| spl0_60
| ~ spl0_104
| ~ spl0_105 ),
inference(sat_conversion,[],[f1892]) ).
cnf(s545,plain,
( spl0_4
| ~ spl0_13
| ~ spl0_31 ),
inference(sat_conversion,[],[f1899]) ).
cnf(s546,plain,
( spl0_4
| ~ spl0_11
| ~ spl0_31 ),
inference(sat_conversion,[],[f1900]) ).
cnf(s557,plain,
( ~ spl0_5
| spl0_77
| spl0_79
| ~ spl0_164 ),
inference(sat_conversion,[],[f1962]) ).
cnf(s561,plain,
( ~ spl0_18
| spl0_66
| ~ spl0_108
| spl0_167 ),
inference(sat_conversion,[],[f1980]) ).
cnf(s563,plain,
( ~ spl0_7
| ~ spl0_20
| spl0_88
| ~ spl0_124
| ~ spl0_125 ),
inference(sat_conversion,[],[f2012]) ).
cnf(s567,plain,
( ~ spl0_13
| spl0_61
| ~ spl0_107
| ~ spl0_150 ),
inference(sat_conversion,[],[f2025]) ).
cnf(s570,plain,
( ~ spl0_5
| spl0_74
| ~ spl0_115
| spl0_151 ),
inference(sat_conversion,[],[f2029]) ).
cnf(s572,plain,
( ~ spl0_14
| ~ spl0_106
| ~ spl0_107
| ~ spl0_150 ),
inference(sat_conversion,[],[f2046]) ).
cnf(s575,plain,
( ~ spl0_2
| ~ spl0_14
| spl0_21 ),
inference(sat_conversion,[],[f2049]) ).
cnf(s576,plain,
spl0_3,
inference(rat,[],[s144,s159,s169,s170]) ).
cnf(s577,plain,
( ~ spl0_26
| ~ spl0_13 ),
inference(rat,[],[s412,s81,s114,s115]) ).
cnf(s578,plain,
( ~ spl0_51
| ~ spl0_4 ),
inference(rat,[],[s210,s90,s123,s124]) ).
cnf(s580,plain,
( ~ spl0_27
| ~ spl0_9 ),
inference(rat,[],[s406,s135,s136,s137]) ).
cnf(s581,plain,
( ~ spl0_43
| ~ spl0_4 ),
inference(rat,[],[s207,s178,s96,s97,s33,s578,s576]) ).
cnf(s583,plain,
( ~ spl0_19
| ~ spl0_13
| spl0_5 ),
inference(rat,[],[s4,s191,s355,s567,s55,s98,s99,s576]) ).
cnf(s584,plain,
( ~ spl0_17
| spl0_5 ),
inference(rat,[],[s4,s216,s217,s576]) ).
cnf(s585,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s191,s4,s179,s355,s55,s98,s99,s53,s584,s581,s576]) ).
cnf(s586,plain,
( ~ spl0_29
| ~ spl0_13
| ~ spl0_28 ),
inference(rat,[],[s282,s413,s85,s120]) ).
cnf(s587,plain,
( ~ spl0_19
| ~ spl0_11 ),
inference(rat,[],[s355,s55,s98,s99]) ).
cnf(s588,plain,
( ~ spl0_56
| ~ spl0_5 ),
inference(rat,[],[s530,s69,s70,s108]) ).
cnf(s589,plain,
( spl0_19
| ~ spl0_4 ),
inference(rat,[],[s297,s56,s57,s58,s289,s48,s53,s506,s570,s107,s68,s67,s175,s43,s588,s585,s581,s576]) ).
cnf(s590,plain,
~ spl0_4,
inference(rat,[],[s179,s338,s55,s98,s589,s585]) ).
cnf(s591,plain,
( spl0_43
| spl0_1 ),
inference(rat,[],[s587,s4,s53,s570,s430,s464,s67,s68,s107,s175,s494,s1,s576,s590]) ).
cnf(s592,plain,
( ~ spl0_48
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s463,s561,s59,s60,s100]) ).
cnf(s593,plain,
( ~ spl0_29
| ~ spl0_41 ),
inference(rat,[],[s395,s84,s85,s120]) ).
cnf(s594,plain,
( ~ spl0_19
| ~ spl0_13
| ~ spl0_5 ),
inference(rat,[],[s567,s338,s55,s98,s99]) ).
cnf(s597,plain,
( ~ spl0_54
| ~ spl0_18 ),
inference(rat,[],[s235,s86,s87,s121]) ).
cnf(s598,plain,
( spl0_11
| spl0_54
| spl0_48
| ~ spl0_5
| spl0_14
| spl0_21
| spl0_33 ),
inference(rat,[],[s563,s82,s116,s117,s143,s9,s594,s14,s593,s29,s5,s362,s74,s75,s76,s16,s576]) ).
cnf(s599,plain,
( ~ spl0_22
| ~ spl0_7
| ~ spl0_20 ),
inference(rat,[],[s563,s82,s116,s117]) ).
cnf(s600,plain,
( ~ spl0_37
| ~ spl0_12
| ~ spl0_5 ),
inference(rat,[],[s557,s537,s71,s72,s73]) ).
cnf(s601,plain,
( ~ spl0_29
| spl0_17
| spl0_1 ),
inference(rat,[],[s282,s20,s391,s600,s29,s593,s84,s85,s120,s9,s587,s598,s597,s592,s8,s408,s2,s478,s132,s133,s134,s11,s364,s575,s373,s321,s1,s449,s129,s130,s131,s27,s542,s54,s96,s97,s591,s576,s590]) ).
cnf(s602,plain,
( ~ spl0_101
| ~ spl0_8 ),
inference(rat,[],[s275,s94,s95,s128]) ).
cnf(s603,plain,
( ~ spl0_99
| ~ spl0_20 ),
inference(rat,[],[s540,s93,s126,s127]) ).
cnf(s604,plain,
( ~ spl0_35
| ~ spl0_2 ),
inference(rat,[],[s176,s78,s111,s112]) ).
cnf(s605,plain,
( spl0_21
| spl0_7
| spl0_1 ),
inference(rat,[],[s289,s601,s18,s14,s594,s587,s9,s603,s2,s144,s478,s602,s132,s133,s134,s3,s11,s408,s297,s56,s57,s58,s17,s364,s321,s96,s97,s54,s591,s494,s604,s1,s576,s590]) ).
cnf(s606,plain,
( ~ spl0_45
| ~ spl0_21 ),
inference(rat,[],[s449,s129,s130,s131]) ).
cnf(s607,plain,
( ~ spl0_5
| spl0_29
| spl0_45
| spl0_1 ),
inference(rat,[],[s570,s464,s67,s68,s107,s28,s505,s198,s74,s75,s76,s35,s603,s144,s602,s41,s588,s297,s56,s57,s58,s17,s364,s321,s494,s604,s1,s27,s542,s54,s96,s97,s591,s576,s590]) ).
cnf(s608,plain,
( spl0_45
| spl0_1 ),
inference(rat,[],[s248,s71,s72,s73,s20,s586,s607,s584,s18,s289,s27,s542,s297,s56,s57,s58,s17,s364,s321,s96,s97,s54,s591,s494,s604,s1,s576,s590]) ).
cnf(s609,plain,
( spl0_17
| spl0_1 ),
inference(rat,[],[s9,s599,s587,s143,s598,s597,s592,s8,s601,s373,s575,s408,s605,s2,s478,s132,s133,s134,s11,s606,s608,s364,s321,s1,s96,s97,s54,s591,s576,s590]) ).
cnf(s610,plain,
( ~ spl0_2
| spl0_1 ),
inference(rat,[],[s602,s40,s144,s599,s603,s592,s9,s12,s594,s577,s18,s289,s609,s2,s478,s132,s133,s134,s605,s11,s575,s606,s608,s604,s297,s56,s57,s58,s17,s364,s321,s54,s96,s97,s591,s494,s576]) ).
cnf(s611,plain,
spl0_1,
inference(rat,[],[s610,s1,s590,s576]) ).
cnf(s612,plain,
( ~ spl0_13
| ~ spl0_19 ),
inference(rat,[],[s594,s583]) ).
cnf(s613,plain,
( spl0_21
| spl0_7
| ~ spl0_2 ),
inference(rat,[],[s612,s18,s326,s490,s84,s85,s120,s14,s587,s9,s603,s144,s602,s3,s408,s604,s576]) ).
cnf(s614,plain,
( ~ spl0_31
| ~ spl0_8
| spl0_7
| spl0_35 ),
inference(rat,[],[s490,s326,s84,s85,s120,s18,s14,s545,s546,s576,s590]) ).
cnf(s615,plain,
~ spl0_30,
inference(rat,[],[s344,s63,s102,s103,s611]) ).
cnf(s616,plain,
( spl0_7
| ~ spl0_2 ),
inference(rat,[],[s588,s41,s6,s614,s545,s606,s15,s613,s604,s576,s590,s615]) ).
cnf(s617,plain,
( ~ spl0_13
| spl0_21
| ~ spl0_2 ),
inference(rat,[],[s602,s40,s144,s599,s603,s592,s9,s12,s612,s577,s604,s616,s575,s576]) ).
cnf(s618,plain,
( ~ spl0_20
| spl0_48
| ~ spl0_2 ),
inference(rat,[],[s602,s40,s144,s599,s603,s604,s616,s576]) ).
cnf(s619,plain,
( spl0_21
| ~ spl0_2 ),
inference(rat,[],[s362,s74,s75,s76,s16,s587,s9,s618,s373,s321,s54,s96,s142,s597,s592,s427,s5,s18,s617,s575,s604,s616,s576,s615]) ).
cnf(s620,plain,
( ~ spl0_32
| ~ spl0_17
| ~ spl0_7 ),
inference(rat,[],[s487,s198,s74,s75,s76]) ).
cnf(s621,plain,
( ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s336,s413,s84,s85,s120,s35,s620,s603,s144,s602,s41,s51,s588,s584,s27,s545,s604,s616,s606,s619,s576,s615,s590]) ).
cnf(s622,plain,
~ spl0_2,
inference(rat,[],[s336,s490,s84,s85,s41,s35,s588,s289,s620,s584,s27,s542,s54,s96,s97,s142,s618,s597,s592,s427,s18,s621,s606,s619,s616,s604,s576,s615]) ).
cnf(s623,plain,
spl0_53,
inference(rat,[],[s36,s622,s576,s615]) ).
cnf(s624,plain,
spl0_130,
inference(rat,[],[s122,s623]) ).
cnf(s625,plain,
~ spl0_95,
inference(rat,[],[s89,s623]) ).
cnf(s626,plain,
~ spl0_94,
inference(rat,[],[s88,s623]) ).
cnf(s627,plain,
~ spl0_7,
inference(rat,[],[s185,s624,s625,s626]) ).
cnf(s628,plain,
spl0_31,
inference(rat,[],[s15,s615,s576,s627]) ).
cnf(s629,plain,
~ spl0_11,
inference(rat,[],[s546,s590,s628]) ).
cnf(s630,plain,
~ spl0_13,
inference(rat,[],[s545,s590,s628]) ).
cnf(s631,plain,
spl0_29,
inference(rat,[],[s14,s627,s576,s629]) ).
cnf(s632,plain,
spl0_5,
inference(rat,[],[s6,s627,s576,s630]) ).
cnf(s633,plain,
spl0_128,
inference(rat,[],[s120,s631]) ).
cnf(s634,plain,
~ spl0_91,
inference(rat,[],[s85,s631]) ).
cnf(s635,plain,
~ spl0_90,
inference(rat,[],[s84,s631]) ).
cnf(s637,plain,
~ spl0_56,
inference(rat,[],[s588,s632]) ).
cnf(s638,plain,
spl0_47,
inference(rat,[],[s51,s615,s576,s637]) ).
cnf(s639,plain,
spl0_161,
inference(rat,[],[s336,s634,s635,s638]) ).
cnf(s640,plain,
~ spl0_20,
inference(rat,[],[s391,s635,s633,s639]) ).
cnf(s641,plain,
~ spl0_8,
inference(rat,[],[s490,s634,s635,s639]) ).
cnf(s642,plain,
spl0_9,
inference(rat,[],[s3,s627,s576,s641]) ).
cnf(s643,plain,
spl0_45,
inference(rat,[],[s41,s576,s637,s641]) ).
cnf(s644,plain,
~ spl0_27,
inference(rat,[],[s580,s642]) ).
cnf(s648,plain,
~ spl0_21,
inference(rat,[],[s606,s643]) ).
cnf(s649,plain,
spl0_16,
inference(rat,[],[s42,s576,s615,s644]) ).
cnf(s651,plain,
spl0_19,
inference(rat,[],[s9,s576,s640,s648]) ).
cnf(s652,plain,
~ spl0_155,
inference(rat,[],[s197,s626,s625,s649]) ).
cnf(s656,plain,
spl0_107,
inference(rat,[],[s99,s651]) ).
cnf(s657,plain,
spl0_106,
inference(rat,[],[s98,s651]) ).
cnf(s658,plain,
~ spl0_61,
inference(rat,[],[s55,s651]) ).
cnf(s660,plain,
~ spl0_12,
inference(rat,[],[s194,s626,s625,s652]) ).
cnf(s661,plain,
spl0_150,
inference(rat,[],[s338,s658,s632,s657]) ).
cnf(s663,plain,
spl0_14,
inference(rat,[],[s5,s630,s576,s660]) ).
cnf(s666,plain,
$false,
inference(rat,[],[s572,s657,s656,s663,s661]) ).
fof(f2050,plain,
$false,
inference(avatar_sat_refutation,[],[s666]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN451-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n017.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 16:00:06 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.64/0.71 % (3672199)Input is clausal, will run a generic CNF schedule.
% 0.64/0.71 % (3672210)dis-21_1_sil=8000:lcm=predicate:random_seed=2073450991:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.64/0.71 % (3672210)First to succeed.
% 0.64/0.71 % (3672210)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3672199"
% 0.64/0.71 % (3672206)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1210512799:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.64/0.71 % (3672207)lrs+10_1_sil=8000:sp=occurrence:random_seed=2886722648:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.64/0.71 % (3672209)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3306149908:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.64/0.71 % (3672205)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4282459490:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.64/0.71 % (3672204)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1855534395:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.64/0.71 % (3672208)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3940301529:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.64/0.71 % (3672208)Also succeeded, but the first one will report.
% 0.64/0.71 % (3672207)Also succeeded, but the first one will report.
% 0.64/0.71 % (3672209)Also succeeded, but the first one will report.
% 0.64/0.71 % (3672210)Refutation found. Thanks to Tanya!
% 0.64/0.71 % SZS status Unsatisfiable for theBenchmark
% 0.64/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.39/0.90 % (3672210)------------------------------
% 2.39/0.90 % (3672210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.39/0.90 % (3672210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.90 % (3672210)CaDiCaL version: 2.1.3
% 2.39/0.90 % (3672210)Termination reason: Refutation
% 2.39/0.90 % (3672210)Time elapsed: 0.016 s
% 2.39/0.90 % (3672210)Peak memory usage: 90 MB
% 2.39/0.90 % (3672210)Instructions burned: 46 (million)
% 2.39/0.90 % (3672210)------------------------------
% 2.39/0.90 % (3672210)------------------------------
% 2.39/0.90 % (3672199)Success in time 0.279 s
% 2.39/0.90 % Vampire exiting
%------------------------------------------------------------------------------