%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN468-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 01:53:23 PM UTC 2026
% Result : Unsatisfiable 0.62s 0.95s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 255
% Syntax : Number of formulae : 863 ( 27 unt; 138 def)
% Number of atoms : 2704 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3236 (1395 ~;1703 |; 0 &)
% ( 138 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 168 ( 167 usr; 164 prp; 0-1 aty)
% Number of functors : 24 ( 24 usr; 24 con; 0-0 aty)
% Number of variables : 139 ( 0 sgn 139 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f5,negated_conjecture,
( ~ hskp27
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f8,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f33,negated_conjecture,
( hskp31
| hskp27
| hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f35,negated_conjecture,
( hskp3
| hskp23
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f39,negated_conjecture,
( hskp13
| hskp2
| hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
( hskp5
| hskp16
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f44,negated_conjecture,
( ~ hskp31
| c0_1(a367) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( ~ hskp31
| c1_1(a367) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( ~ hskp31
| c2_1(a367) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f50,negated_conjecture,
( ~ hskp29
| c0_1(a301) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( ~ hskp29
| c2_1(a301) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( ~ hskp29
| c3_1(a301) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( ~ hskp28
| c1_1(a296) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( ~ hskp28
| c2_1(a296) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( ~ hskp28
| c3_1(a296) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f56,negated_conjecture,
( ~ hskp27
| c1_1(a368) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f58,negated_conjecture,
( ~ hskp24
| c1_1(a341) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( ~ hskp23
| c1_1(a337) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( ~ hskp23
| c3_1(a337) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f62,negated_conjecture,
( ~ hskp19
| c2_1(a326) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( ~ hskp19
| c3_1(a326) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( ~ hskp18
| c0_1(a325) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( ~ hskp16
| c2_1(a315) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( ~ hskp15
| c0_1(a311) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( ~ hskp15
| c1_1(a311) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f70,negated_conjecture,
( ~ hskp13
| c0_1(a308) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( ~ hskp12
| c2_1(a307) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( ~ hskp11
| c1_1(a306) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( ~ hskp11
| c3_1(a306) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f76,negated_conjecture,
( ~ hskp9
| c0_1(a304) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp9
| c1_1(a304) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( ~ hskp8
| c0_1(a300) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( ~ hskp8
| c3_1(a300) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp7
| c0_1(a299) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( ~ hskp7
| c3_1(a299) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f83,negated_conjecture,
( ~ hskp5
| c1_1(a297) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( ~ hskp5
| c2_1(a297) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( ~ hskp4
| c0_1(a295) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( ~ hskp3
| c0_1(a294) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( ~ hskp3
| c2_1(a294) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( ~ hskp2
| c3_1(a293) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f91,negated_conjecture,
( ~ hskp0
| c1_1(a291) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( ~ c0_1(a368)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ c2_1(a368)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ c0_1(a359)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f95,negated_conjecture,
( ~ c1_1(a359)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f96,negated_conjecture,
( ~ c3_1(a359)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f99,negated_conjecture,
( ~ c0_1(a341)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ c3_1(a341)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ c2_1(a337)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ c1_1(a331)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ c2_1(a331)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ c3_1(a331)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f107,negated_conjecture,
( ~ c0_1(a329)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ c1_1(a329)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ c2_1(a329)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ c0_1(a326)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ c1_1(a325)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ c3_1(a325)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f116,negated_conjecture,
( ~ c0_1(a315)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ c3_1(a315)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ c3_1(a311)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f120,negated_conjecture,
( ~ c1_1(a308)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ c2_1(a308)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ c1_1(a307)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ c3_1(a307)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ c0_1(a306)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f126,negated_conjecture,
( ~ c2_1(a304)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ c1_1(a300)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ c2_1(a299)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f131,negated_conjecture,
( ~ c0_1(a297)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ c2_1(a295)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f133,negated_conjecture,
( ~ c3_1(a295)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
( ~ c1_1(a294)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f135,negated_conjecture,
( ~ c1_1(a293)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f136,negated_conjecture,
( ~ c2_1(a293)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f138,negated_conjecture,
( ~ c2_1(a291)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f139,negated_conjecture,
( ~ c3_1(a291)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f140,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c3_1(X0)
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f142,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c3_1(X0)
| hskp4
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f143,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| c3_1(X0)
| hskp18
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f147,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp11
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f148,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp15
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f151,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| hskp15
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f152,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| hskp8
| hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f153,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f154,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp13
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f155,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp4
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f156,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp3
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f158,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp24
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f161,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp15
| hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f164,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f165,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| hskp3
| hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f166,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp8
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f171,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c0_1(X0)
| c3_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| c0_1(X0)
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f175,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c0_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X0)
| c0_1(X1)
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f182,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f183,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X0)
| c1_1(X1)
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f184,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f185,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f187,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
fof(f189,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
fof(f190,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| c2_1(X0)
| c3_1(X0)
| c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
fof(f191,negated_conjecture,
! [X2,X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X2)
| c1_1(X0)
| c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
fof(f192,negated_conjecture,
! [X2,X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X2)
| c0_1(X0)
| c0_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
fof(f193,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X2)
| c2_1(X0)
| c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
fof(f194,negated_conjecture,
! [X2,X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X2)
| c1_1(X0)
| c0_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
fof(f195,negated_conjecture,
! [X2,X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X2)
| c1_1(X0)
| c1_1(X1)
| c0_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
fof(f196,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
fof(f198,definition,
( spl0_1
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f199,plain,
( ! [X2] :
( c1_1(X2)
| c2_1(X2)
| ~ c3_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f201,definition,
( spl0_2
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f202,plain,
( ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f204,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f207,definition,
( spl0_4
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f208,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f209,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f196,f207,f204,f201,f198]) ).
fof(f211,definition,
( spl0_5
<=> ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f212,plain,
( ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| c0_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f214,definition,
( spl0_6
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f215,plain,
( ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f217,definition,
( spl0_7
<=> ! [X0] :
( ~ c2_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f218,plain,
( ! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f219,plain,
( spl0_5
| spl0_6
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f195,f217,f204,f214,f211]) ).
fof(f221,definition,
( spl0_8
<=> ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f222,plain,
( ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f224,definition,
( spl0_9
<=> ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f225,plain,
( ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f226,plain,
( spl0_8
| spl0_9
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f194,f217,f204,f224,f221]) ).
fof(f228,definition,
( spl0_10
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f229,plain,
( ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f231,definition,
( spl0_11
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f232,plain,
( ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c0_1(X1) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,definition,
( spl0_12
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f235,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( spl0_10
| spl0_11
| ~ spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f193,f234,f204,f231,f228]) ).
fof(f237,plain,
( spl0_5
| spl0_10
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f192,f224,f204,f228,f211]) ).
fof(f239,definition,
( spl0_13
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f240,plain,
( ! [X2] :
( c2_1(X2)
| ~ c3_1(X2)
| c0_1(X2) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f242,definition,
( spl0_14
<=> ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f243,plain,
( ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f244,plain,
( spl0_13
| spl0_14
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f191,f217,f204,f242,f239]) ).
fof(f246,definition,
( spl0_15
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f247,plain,
( ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c0_1(X2) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f249,definition,
( spl0_16
<=> ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f250,plain,
( ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| c2_1(X0) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f251,plain,
( spl0_15
| spl0_9
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f190,f249,f204,f224,f246]) ).
fof(f253,definition,
( spl0_17
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f256,definition,
( spl0_18
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f257,plain,
( ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f259,definition,
( spl0_19
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f260,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f261,plain,
( spl0_17
| spl0_18
| ~ spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f189,f259,f204,f256,f253]) ).
fof(f267,definition,
( spl0_21
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f270,definition,
( spl0_22
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f271,plain,
( ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f272,plain,
( spl0_21
| spl0_22
| ~ spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f187,f259,f204,f270,f267]) ).
fof(f278,definition,
( spl0_24
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f281,definition,
( spl0_25
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f282,plain,
( ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f283,plain,
( spl0_24
| spl0_25
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f185,f201,f204,f281,f278]) ).
fof(f285,definition,
( spl0_26
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f287,plain,
( spl0_26
| spl0_25
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f184,f256,f204,f281,f285]) ).
fof(f289,definition,
( spl0_27
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f291,plain,
( spl0_27
| spl0_25
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f183,f214,f204,f281,f289]) ).
fof(f293,definition,
( spl0_28
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f296,definition,
( spl0_29
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f297,plain,
( ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f298,plain,
( spl0_28
| spl0_29
| ~ spl0_3
| spl0_22 ),
inference(avatar_split_clause,[],[f182,f270,f204,f296,f293]) ).
fof(f300,definition,
( spl0_30
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f301,plain,
( ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f302,plain,
( spl0_26
| spl0_30
| ~ spl0_3
| spl0_29 ),
inference(avatar_split_clause,[],[f181,f296,f204,f300,f285]) ).
fof(f304,definition,
( spl0_31
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f306,plain,
( spl0_31
| spl0_10
| ~ spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f180,f259,f204,f228,f304]) ).
fof(f308,definition,
( spl0_32
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f311,definition,
( spl0_33
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f312,plain,
( ! [X0] :
( ~ c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f313,plain,
( spl0_32
| spl0_1
| ~ spl0_3
| spl0_33 ),
inference(avatar_split_clause,[],[f179,f311,f204,f198,f308]) ).
fof(f320,definition,
( spl0_35
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f322,plain,
( spl0_35
| spl0_8
| ~ spl0_3
| spl0_30 ),
inference(avatar_split_clause,[],[f176,f300,f204,f221,f320]) ).
fof(f324,definition,
( spl0_36
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f326,plain,
( spl0_36
| spl0_1
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f175,f231,f204,f198,f324]) ).
fof(f328,definition,
( spl0_37
<=> ! [X1] :
( c1_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f329,plain,
( ! [X1] :
( c1_1(X1)
| c3_1(X1)
| c2_1(X1) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f330,plain,
( spl0_21
| spl0_37
| spl0_29
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f174,f204,f296,f328,f267]) ).
fof(f332,definition,
( spl0_38
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f333,plain,
( ! [X0] :
( c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f336,definition,
( spl0_39
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f339,definition,
( spl0_40
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f340,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f341,plain,
( spl0_39
| spl0_15
| ~ spl0_3
| spl0_40 ),
inference(avatar_split_clause,[],[f172,f339,f204,f246,f336]) ).
fof(f343,definition,
( spl0_41
<=> ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f344,plain,
( ! [X1] :
( c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f345,plain,
( spl0_26
| spl0_41
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f171,f211,f204,f343,f285]) ).
fof(f347,definition,
( spl0_42
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f349,plain,
( spl0_42
| spl0_37
| ~ spl0_3
| spl0_38 ),
inference(avatar_split_clause,[],[f170,f332,f204,f328,f347]) ).
fof(f351,definition,
( spl0_43
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f361,definition,
( spl0_46
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f365,definition,
( spl0_47
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f368,definition,
( spl0_48
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f371,definition,
( spl0_49
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f372,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f374,plain,
( spl0_47
| spl0_39
| ~ spl0_3
| spl0_49 ),
inference(avatar_split_clause,[],[f166,f371,f204,f336,f365]) ).
fof(f376,definition,
( spl0_50
<=> hskp26 ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f379,definition,
( spl0_51
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f380,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f381,plain,
( spl0_50
| spl0_42
| ~ spl0_3
| spl0_51 ),
inference(avatar_split_clause,[],[f165,f379,f204,f347,f376]) ).
fof(f383,definition,
( spl0_52
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f385,plain,
( spl0_52
| ~ spl0_3
| spl0_51 ),
inference(avatar_split_clause,[],[f164,f379,f204,f383]) ).
fof(f388,plain,
( spl0_35
| spl0_28
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f161,f214,f204,f293,f320]) ).
fof(f390,definition,
( spl0_53
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f395,definition,
( spl0_54
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f397,plain,
( spl0_27
| spl0_54
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f158,f281,f204,f395,f289]) ).
fof(f403,definition,
( spl0_56
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f405,plain,
( spl0_56
| spl0_42
| ~ spl0_3
| spl0_29 ),
inference(avatar_split_clause,[],[f156,f296,f204,f347,f403]) ).
fof(f406,plain,
( spl0_46
| spl0_21
| ~ spl0_3
| spl0_30 ),
inference(avatar_split_clause,[],[f155,f300,f204,f267,f361]) ).
fof(f407,plain,
( spl0_27
| spl0_17
| ~ spl0_3
| spl0_30 ),
inference(avatar_split_clause,[],[f154,f300,f204,f253,f289]) ).
fof(f408,plain,
( spl0_36
| ~ spl0_3
| spl0_33 ),
inference(avatar_split_clause,[],[f153,f311,f204,f324]) ).
fof(f409,plain,
( spl0_52
| spl0_39
| ~ spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f152,f242,f204,f336,f383]) ).
fof(f410,plain,
( spl0_47
| spl0_28
| ~ spl0_3
| spl0_38 ),
inference(avatar_split_clause,[],[f151,f332,f204,f293,f365]) ).
fof(f419,plain,
( spl0_39
| spl0_28
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f148,f228,f204,f293,f336]) ).
fof(f420,plain,
( spl0_53
| spl0_46
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f147,f211,f204,f361,f390]) ).
fof(f434,definition,
( spl0_62
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f436,plain,
( spl0_62
| spl0_48
| spl0_37
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f143,f204,f328,f368,f434]) ).
fof(f438,definition,
( spl0_63
<=> ! [X0] :
( c0_1(X0)
| c3_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f439,plain,
( ! [X0] :
( c1_1(X0)
| c3_1(X0)
| c0_1(X0) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f440,plain,
( spl0_47
| spl0_21
| spl0_63
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f142,f204,f438,f267,f365]) ).
fof(f442,plain,
( spl0_42
| spl0_63
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f140,f204,f438,f347]) ).
fof(f445,definition,
( spl0_64
<=> c3_1(a291) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f447,plain,
( ~ spl0_43
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f139,f445,f351]) ).
fof(f449,definition,
( spl0_65
<=> c2_1(a291) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f451,plain,
( ~ spl0_43
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f138,f449,f351]) ).
fof(f459,definition,
( spl0_67
<=> c2_1(a293) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f461,plain,
( ~ spl0_56
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f136,f459,f403]) ).
fof(f463,definition,
( spl0_68
<=> c1_1(a293) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f464,plain,
( ~ c1_1(a293)
| spl0_68 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f465,plain,
( ~ spl0_56
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f135,f463,f403]) ).
fof(f468,definition,
( spl0_69
<=> c1_1(a294) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f469,plain,
( ~ c1_1(a294)
| spl0_69 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f470,plain,
( ~ spl0_42
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f134,f468,f347]) ).
fof(f473,definition,
( spl0_70
<=> c3_1(a295) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f475,plain,
( ~ spl0_21
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f133,f473,f267]) ).
fof(f477,definition,
( spl0_71
<=> c2_1(a295) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f478,plain,
( ~ c2_1(a295)
| spl0_71 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f479,plain,
( ~ spl0_21
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f132,f477,f267]) ).
fof(f482,definition,
( spl0_72
<=> c0_1(a297) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f484,plain,
( ~ spl0_31
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f131,f482,f304]) ).
fof(f496,definition,
( spl0_75
<=> c2_1(a299) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f497,plain,
( ~ c2_1(a299)
| spl0_75 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f498,plain,
( ~ spl0_26
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f128,f496,f285]) ).
fof(f501,definition,
( spl0_76
<=> c1_1(a300) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f502,plain,
( ~ c1_1(a300)
| spl0_76 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f503,plain,
( ~ spl0_39
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f127,f501,f336]) ).
fof(f506,definition,
( spl0_77
<=> c2_1(a304) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f507,plain,
( ~ c2_1(a304)
| spl0_77 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f508,plain,
( ~ spl0_24
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f126,f506,f278]) ).
fof(f516,definition,
( spl0_79
<=> c0_1(a306) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f518,plain,
( ~ spl0_46
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f124,f516,f361]) ).
fof(f521,definition,
( spl0_80
<=> c3_1(a307) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f523,plain,
( ~ spl0_53
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f123,f521,f390]) ).
fof(f525,definition,
( spl0_81
<=> c1_1(a307) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f526,plain,
( ~ c1_1(a307)
| spl0_81 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f527,plain,
( ~ spl0_53
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f122,f525,f390]) ).
fof(f530,definition,
( spl0_82
<=> c2_1(a308) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f531,plain,
( ~ c2_1(a308)
| spl0_82 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f532,plain,
( ~ spl0_17
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f121,f530,f253]) ).
fof(f534,definition,
( spl0_83
<=> c1_1(a308) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f535,plain,
( ~ c1_1(a308)
| spl0_83 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f536,plain,
( ~ spl0_17
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f120,f534,f253]) ).
fof(f544,definition,
( spl0_85
<=> c3_1(a311) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f546,plain,
( ~ spl0_28
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f118,f544,f293]) ).
fof(f549,definition,
( spl0_86
<=> c3_1(a315) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f551,plain,
( ~ spl0_27
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f117,f549,f289]) ).
fof(f553,definition,
( spl0_87
<=> c0_1(a315) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f555,plain,
( ~ spl0_27
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f116,f553,f289]) ).
fof(f571,definition,
( spl0_91
<=> c3_1(a325) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f573,plain,
( ~ spl0_48
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f112,f571,f368]) ).
fof(f575,definition,
( spl0_92
<=> c1_1(a325) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f576,plain,
( ~ c1_1(a325)
| spl0_92 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f577,plain,
( ~ spl0_48
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f111,f575,f368]) ).
fof(f580,definition,
( spl0_93
<=> c0_1(a326) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f582,plain,
( ~ spl0_62
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f110,f580,f434]) ).
fof(f585,definition,
( spl0_94
<=> c2_1(a329) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f586,plain,
( ~ c2_1(a329)
| spl0_94 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f587,plain,
( ~ spl0_36
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f109,f585,f324]) ).
fof(f589,definition,
( spl0_95
<=> c1_1(a329) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f590,plain,
( ~ c1_1(a329)
| spl0_95 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f591,plain,
( ~ spl0_36
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f108,f589,f324]) ).
fof(f593,definition,
( spl0_96
<=> c0_1(a329) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f595,plain,
( ~ spl0_36
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f107,f593,f324]) ).
fof(f607,definition,
( spl0_99
<=> c3_1(a331) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f609,plain,
( ~ spl0_32
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f104,f607,f308]) ).
fof(f611,definition,
( spl0_100
<=> c2_1(a331) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f612,plain,
( ~ c2_1(a331)
| spl0_100 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f613,plain,
( ~ spl0_32
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f103,f611,f308]) ).
fof(f615,definition,
( spl0_101
<=> c1_1(a331) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f616,plain,
( ~ c1_1(a331)
| spl0_101 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f617,plain,
( ~ spl0_32
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f102,f615,f308]) ).
fof(f620,definition,
( spl0_102
<=> c2_1(a337) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f621,plain,
( ~ c2_1(a337)
| spl0_102 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f622,plain,
( ~ spl0_52
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f101,f620,f383]) ).
fof(f625,definition,
( spl0_103
<=> c3_1(a341) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f627,plain,
( ~ spl0_54
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f100,f625,f395]) ).
fof(f629,definition,
( spl0_104
<=> c0_1(a341) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f631,plain,
( ~ spl0_54
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f99,f629,f395]) ).
fof(f643,definition,
( spl0_107
<=> c3_1(a359) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f645,plain,
( ~ spl0_50
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f96,f643,f376]) ).
fof(f647,definition,
( spl0_108
<=> c1_1(a359) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f648,plain,
( ~ c1_1(a359)
| spl0_108 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f649,plain,
( ~ spl0_50
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f95,f647,f376]) ).
fof(f651,definition,
( spl0_109
<=> c0_1(a359) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f653,plain,
( ~ spl0_50
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f94,f651,f376]) ).
fof(f655,definition,
( spl0_110
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f658,definition,
( spl0_111
<=> c2_1(a368) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f660,plain,
( ~ spl0_110
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f93,f658,f655]) ).
fof(f662,definition,
( spl0_112
<=> c0_1(a368) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f664,plain,
( ~ spl0_110
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f92,f662,f655]) ).
fof(f666,definition,
( spl0_113
<=> c1_1(a291) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f667,plain,
( c1_1(a291)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f668,plain,
( spl0_113
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f91,f351,f666]) ).
fof(f678,definition,
( spl0_116
<=> c3_1(a293) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f680,plain,
( spl0_116
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f88,f403,f678]) ).
fof(f682,definition,
( spl0_117
<=> c2_1(a294) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f683,plain,
( c2_1(a294)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f684,plain,
( spl0_117
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f87,f347,f682]) ).
fof(f686,definition,
( spl0_118
<=> c0_1(a294) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f688,plain,
( spl0_118
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f86,f347,f686]) ).
fof(f690,definition,
( spl0_119
<=> c0_1(a295) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f692,plain,
( spl0_119
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f85,f267,f690]) ).
fof(f694,definition,
( spl0_120
<=> c2_1(a297) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f695,plain,
( c2_1(a297)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f696,plain,
( spl0_120
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f84,f304,f694]) ).
fof(f698,definition,
( spl0_121
<=> c1_1(a297) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f699,plain,
( c1_1(a297)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f700,plain,
( spl0_121
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f83,f304,f698]) ).
fof(f706,definition,
( spl0_123
<=> c3_1(a299) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f708,plain,
( spl0_123
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f81,f285,f706]) ).
fof(f710,definition,
( spl0_124
<=> c0_1(a299) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f712,plain,
( spl0_124
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f80,f285,f710]) ).
fof(f714,definition,
( spl0_125
<=> c3_1(a300) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f716,plain,
( spl0_125
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f79,f336,f714]) ).
fof(f718,definition,
( spl0_126
<=> c0_1(a300) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f720,plain,
( spl0_126
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f78,f336,f718]) ).
fof(f722,definition,
( spl0_127
<=> c1_1(a304) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f723,plain,
( c1_1(a304)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f724,plain,
( spl0_127
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f77,f278,f722]) ).
fof(f726,definition,
( spl0_128
<=> c0_1(a304) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f728,plain,
( spl0_128
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f76,f278,f726]) ).
fof(f738,definition,
( spl0_131
<=> c3_1(a306) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f740,plain,
( spl0_131
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f73,f361,f738]) ).
fof(f742,definition,
( spl0_132
<=> c1_1(a306) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f743,plain,
( c1_1(a306)
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f744,plain,
( spl0_132
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f72,f361,f742]) ).
fof(f746,definition,
( spl0_133
<=> c2_1(a307) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f747,plain,
( c2_1(a307)
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f748,plain,
( spl0_133
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f71,f390,f746]) ).
fof(f750,definition,
( spl0_134
<=> c0_1(a308) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f752,plain,
( spl0_134
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f70,f253,f750]) ).
fof(f762,definition,
( spl0_137
<=> c1_1(a311) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f763,plain,
( c1_1(a311)
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f764,plain,
( spl0_137
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f67,f293,f762]) ).
fof(f766,definition,
( spl0_138
<=> c0_1(a311) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f768,plain,
( spl0_138
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f66,f293,f766]) ).
fof(f770,definition,
( spl0_139
<=> c2_1(a315) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f771,plain,
( c2_1(a315)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f772,plain,
( spl0_139
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f65,f289,f770]) ).
fof(f774,definition,
( spl0_140
<=> c0_1(a325) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f776,plain,
( spl0_140
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f64,f368,f774]) ).
fof(f778,definition,
( spl0_141
<=> c3_1(a326) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f780,plain,
( spl0_141
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f63,f434,f778]) ).
fof(f782,definition,
( spl0_142
<=> c2_1(a326) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f783,plain,
( c2_1(a326)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f784,plain,
( spl0_142
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f62,f434,f782]) ).
fof(f790,definition,
( spl0_144
<=> c3_1(a337) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f792,plain,
( spl0_144
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f60,f383,f790]) ).
fof(f794,definition,
( spl0_145
<=> c1_1(a337) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f795,plain,
( c1_1(a337)
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f796,plain,
( spl0_145
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f59,f383,f794]) ).
fof(f798,definition,
( spl0_146
<=> c1_1(a341) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f799,plain,
( c1_1(a341)
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f800,plain,
( spl0_146
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f58,f395,f798]) ).
fof(f806,definition,
( spl0_148
<=> c1_1(a368) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f807,plain,
( c1_1(a368)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f808,plain,
( spl0_148
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f56,f655,f806]) ).
fof(f810,definition,
( spl0_149
<=> c3_1(a296) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f813,plain,
( spl0_149
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f55,f365,f810]) ).
fof(f815,definition,
( spl0_150
<=> c2_1(a296) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f817,plain,
( spl0_150
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f54,f365,f815]) ).
fof(f819,definition,
( spl0_151
<=> c1_1(a296) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f820,plain,
( c1_1(a296)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f821,plain,
( spl0_151
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f53,f365,f819]) ).
fof(f823,definition,
( spl0_152
<=> c3_1(a301) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f826,plain,
( spl0_152
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f52,f320,f823]) ).
fof(f828,definition,
( spl0_153
<=> c2_1(a301) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f829,plain,
( c2_1(a301)
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f830,plain,
( spl0_153
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f51,f320,f828]) ).
fof(f832,definition,
( spl0_154
<=> c0_1(a301) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f834,plain,
( spl0_154
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f50,f320,f832]) ).
fof(f849,definition,
( spl0_158
<=> c2_1(a367) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f852,definition,
( spl0_159
<=> hskp31 ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f854,plain,
( spl0_158
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f46,f852,f849]) ).
fof(f856,definition,
( spl0_160
<=> c1_1(a367) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f857,plain,
( c1_1(a367)
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f858,plain,
( spl0_160
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f45,f852,f856]) ).
fof(f860,definition,
( spl0_161
<=> c0_1(a367) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f862,plain,
( spl0_161
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f44,f852,f860]) ).
fof(f866,plain,
( spl0_32
| spl0_27
| spl0_31 ),
inference(avatar_split_clause,[],[f40,f304,f289,f308]) ).
fof(f867,plain,
( spl0_36
| spl0_56
| spl0_17 ),
inference(avatar_split_clause,[],[f39,f253,f403,f324]) ).
fof(f871,plain,
( spl0_43
| spl0_52
| spl0_42 ),
inference(avatar_split_clause,[],[f35,f347,f383,f351]) ).
fof(f875,plain,
( spl0_54
| spl0_110
| spl0_159 ),
inference(avatar_split_clause,[],[f33,f852,f655,f395]) ).
fof(f901,plain,
( spl0_3
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f8,f395,f204]) ).
fof(f904,plain,
( spl0_3
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f5,f655,f204]) ).
fof(f908,plain,
( spl0_3
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f1,f852,f204]) ).
fof(f910,plain,
( c3_1(a341)
| ~ c2_1(a341)
| ~ spl0_2
| ~ spl0_146 ),
inference(resolution,[],[f202,f799]) ).
fof(f912,definition,
( spl0_162
<=> c2_1(a341) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f913,plain,
( ~ c2_1(a341)
| spl0_162 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f915,plain,
( ~ spl0_162
| spl0_103
| ~ spl0_2
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f910,f798,f201,f625,f912]) ).
fof(f917,plain,
( c3_1(a341)
| c0_1(a341)
| ~ spl0_5
| ~ spl0_146 ),
inference(resolution,[],[f212,f799]) ).
fof(f919,plain,
( spl0_104
| spl0_103
| ~ spl0_5
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f917,f798,f211,f625,f629]) ).
fof(f927,plain,
( ~ c0_1(a300)
| ~ c3_1(a300)
| ~ spl0_6
| spl0_76 ),
inference(resolution,[],[f215,f502]) ).
fof(f938,plain,
( ~ spl0_125
| ~ spl0_126
| ~ spl0_6
| spl0_76 ),
inference(avatar_split_clause,[],[f927,f501,f214,f718,f714]) ).
fof(f939,plain,
( ~ c0_1(a308)
| ~ c3_1(a308)
| ~ spl0_6
| spl0_83 ),
inference(resolution,[],[f535,f215]) ).
fof(f941,definition,
( spl0_165
<=> c3_1(a308) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
fof(f947,definition,
( spl0_166
<=> c2_1(a311) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f948,plain,
( ~ c2_1(a311)
| spl0_166 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f953,plain,
( ~ c2_1(a300)
| ~ c3_1(a300)
| ~ spl0_7
| spl0_76 ),
inference(resolution,[],[f218,f502]) ).
fof(f959,definition,
( spl0_167
<=> c2_1(a300) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
fof(f960,plain,
( ~ c2_1(a300)
| spl0_167 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f961,plain,
( ~ spl0_125
| ~ spl0_167
| ~ spl0_7
| spl0_76 ),
inference(avatar_split_clause,[],[f953,f501,f217,f959,f714]) ).
fof(f964,plain,
( c2_1(a341)
| c0_1(a341)
| ~ spl0_8
| ~ spl0_146 ),
inference(resolution,[],[f222,f799]) ).
fof(f972,definition,
( spl0_168
<=> c2_1(a306) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f996,definition,
( spl0_170
<=> c0_1(a331) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
fof(f1013,plain,
( c2_1(a300)
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f1018,definition,
( spl0_171
<=> c3_1(a329) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
fof(f1024,plain,
( ~ c0_1(a308)
| ~ c3_1(a308)
| ~ spl0_12
| spl0_82 ),
inference(resolution,[],[f235,f531]) ).
fof(f1025,plain,
( ~ c0_1(a300)
| ~ c3_1(a300)
| ~ spl0_12
| spl0_167 ),
inference(resolution,[],[f235,f960]) ).
fof(f1026,plain,
( ~ c0_1(a299)
| ~ c3_1(a299)
| ~ spl0_12
| spl0_75 ),
inference(resolution,[],[f235,f497]) ).
fof(f1034,plain,
( ~ spl0_123
| ~ spl0_124
| ~ spl0_12
| spl0_75 ),
inference(avatar_split_clause,[],[f1026,f496,f234,f710,f706]) ).
fof(f1056,definition,
( spl0_173
<=> c0_1(a337) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
fof(f1094,plain,
( ~ c0_1(a294)
| ~ c3_1(a294)
| ~ spl0_6
| spl0_69 ),
inference(resolution,[],[f469,f215]) ).
fof(f1096,definition,
( spl0_176
<=> c3_1(a294) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
fof(f1099,plain,
( ~ spl0_176
| ~ spl0_118
| ~ spl0_6
| spl0_69 ),
inference(avatar_split_clause,[],[f1094,f468,f214,f686,f1096]) ).
fof(f1122,plain,
( c2_1(a300)
| ~ c3_1(a300)
| ~ spl0_1
| spl0_76 ),
inference(resolution,[],[f199,f502]) ).
fof(f1125,plain,
( c2_1(a293)
| ~ c3_1(a293)
| ~ spl0_1
| spl0_68 ),
inference(resolution,[],[f199,f464]) ).
fof(f1129,plain,
( c2_1(a329)
| ~ c3_1(a329)
| ~ spl0_1
| spl0_95 ),
inference(resolution,[],[f199,f590]) ).
fof(f1132,plain,
( ~ spl0_171
| spl0_94
| ~ spl0_1
| spl0_95 ),
inference(avatar_split_clause,[],[f1129,f589,f198,f585,f1018]) ).
fof(f1133,plain,
( ~ spl0_116
| spl0_67
| ~ spl0_1
| spl0_68 ),
inference(avatar_split_clause,[],[f1125,f463,f198,f459,f678]) ).
fof(f1134,plain,
( ~ spl0_125
| spl0_167
| ~ spl0_1
| spl0_76 ),
inference(avatar_split_clause,[],[f1122,f501,f198,f959,f714]) ).
fof(f1136,plain,
( ! [X0] :
( c3_1(X0)
| ~ c2_1(X0)
| c3_1(X0)
| c0_1(X0) )
| ~ spl0_5
| ~ spl0_14 ),
inference(resolution,[],[f243,f212]) ).
fof(f1139,plain,
( c3_1(a307)
| ~ c2_1(a307)
| ~ spl0_14
| spl0_81 ),
inference(resolution,[],[f243,f526]) ).
fof(f1142,plain,
( c3_1(a294)
| ~ c2_1(a294)
| ~ spl0_14
| spl0_69 ),
inference(resolution,[],[f243,f469]) ).
fof(f1149,plain,
( ! [X0] :
( c3_1(X0)
| ~ c2_1(X0)
| c0_1(X0) )
| ~ spl0_5
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f1136]) ).
fof(f1157,plain,
( ~ spl0_117
| spl0_176
| ~ spl0_14
| spl0_69 ),
inference(avatar_split_clause,[],[f1142,f468,f242,f1096,f682]) ).
fof(f1163,plain,
( spl0_10
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1149,f242,f211,f228]) ).
fof(f1167,plain,
( ~ c3_1(a337)
| c0_1(a337)
| ~ spl0_13
| spl0_102 ),
inference(resolution,[],[f621,f240]) ).
fof(f1170,plain,
( spl0_173
| ~ spl0_144
| ~ spl0_13
| spl0_102 ),
inference(avatar_split_clause,[],[f1167,f620,f239,f790,f1056]) ).
fof(f1173,plain,
( ~ c0_1(a304)
| ~ c3_1(a304)
| ~ spl0_12
| spl0_77 ),
inference(resolution,[],[f507,f235]) ).
fof(f1175,definition,
( spl0_178
<=> c3_1(a304) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
fof(f1178,plain,
( ~ spl0_178
| ~ spl0_128
| ~ spl0_12
| spl0_77 ),
inference(avatar_split_clause,[],[f1173,f506,f234,f726,f1175]) ).
fof(f1188,plain,
( ~ c2_1(a294)
| ~ c3_1(a294)
| ~ spl0_7
| spl0_69 ),
inference(resolution,[],[f218,f469]) ).
fof(f1193,plain,
( ~ spl0_176
| ~ spl0_117
| ~ spl0_7
| spl0_69 ),
inference(avatar_split_clause,[],[f1188,f468,f217,f682,f1096]) ).
fof(f1236,plain,
( c3_1(a311)
| ~ c0_1(a311)
| ~ spl0_18
| ~ spl0_137 ),
inference(resolution,[],[f257,f763]) ).
fof(f1238,plain,
( c3_1(a304)
| ~ c0_1(a304)
| ~ spl0_18
| ~ spl0_127 ),
inference(resolution,[],[f257,f723]) ).
fof(f1241,plain,
( ~ spl0_128
| spl0_178
| ~ spl0_18
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1238,f722,f256,f1175,f726]) ).
fof(f1243,plain,
( ~ spl0_138
| spl0_85
| ~ spl0_18
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1236,f762,f256,f544,f766]) ).
fof(f1260,definition,
( spl0_179
<=> c3_1(a297) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
fof(f1264,plain,
( c3_1(a297)
| c0_1(a297)
| ~ spl0_5
| ~ spl0_121 ),
inference(resolution,[],[f699,f212]) ).
fof(f1269,plain,
( spl0_72
| spl0_179
| ~ spl0_5
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1264,f698,f211,f1260,f482]) ).
fof(f1281,definition,
( spl0_180
<=> c0_1(a307) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
fof(f1298,plain,
( ~ c3_1(a300)
| ~ c0_1(a300)
| ~ spl0_19
| ~ spl0_167 ),
inference(resolution,[],[f260,f1013]) ).
fof(f1305,plain,
( ~ spl0_126
| ~ spl0_125
| ~ spl0_19
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f1298,f959,f259,f714,f718]) ).
fof(f1312,plain,
( c2_1(a337)
| ~ c0_1(a337)
| ~ spl0_22
| ~ spl0_145 ),
inference(resolution,[],[f271,f795]) ).
fof(f1315,plain,
( c2_1(a304)
| ~ c0_1(a304)
| ~ spl0_22
| ~ spl0_127 ),
inference(resolution,[],[f271,f723]) ).
fof(f1321,plain,
( ~ spl0_128
| spl0_77
| ~ spl0_22
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1315,f722,f270,f506,f726]) ).
fof(f1324,plain,
( ~ spl0_173
| spl0_102
| ~ spl0_22
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1312,f794,f270,f620,f1056]) ).
fof(f1329,plain,
( ~ c0_1(a307)
| ~ c2_1(a307)
| ~ spl0_25
| spl0_81 ),
inference(resolution,[],[f282,f526]) ).
fof(f1331,plain,
( ~ c0_1(a294)
| ~ c2_1(a294)
| ~ spl0_25
| spl0_69 ),
inference(resolution,[],[f282,f469]) ).
fof(f1335,plain,
( ~ spl0_117
| ~ spl0_118
| ~ spl0_25
| spl0_69 ),
inference(avatar_split_clause,[],[f1331,f468,f281,f686,f682]) ).
fof(f1339,plain,
( ! [X0] :
( c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_7
| ~ spl0_29 ),
inference(resolution,[],[f297,f218]) ).
fof(f1347,plain,
( c0_1(a297)
| ~ c3_1(a297)
| ~ spl0_29
| ~ spl0_121 ),
inference(resolution,[],[f297,f699]) ).
fof(f1351,plain,
( ! [X0] :
( c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_7
| ~ spl0_29 ),
inference(duplicate_literal_removal,[],[f1339]) ).
fof(f1353,plain,
( ~ spl0_179
| spl0_72
| ~ spl0_29
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1347,f698,f296,f482,f1260]) ).
fof(f1362,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4
| ~ spl0_25 ),
inference(resolution,[],[f208,f282]) ).
fof(f1364,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_4
| ~ spl0_6 ),
inference(resolution,[],[f208,f215]) ).
fof(f1368,plain,
( ~ c3_1(a306)
| ~ c2_1(a306)
| ~ spl0_4
| ~ spl0_132 ),
inference(resolution,[],[f208,f743]) ).
fof(f1370,plain,
( ~ c3_1(a297)
| ~ c2_1(a297)
| ~ spl0_4
| ~ spl0_121 ),
inference(resolution,[],[f208,f699]) ).
fof(f1372,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_4
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f1364]) ).
fof(f1374,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_4
| ~ spl0_25 ),
inference(duplicate_literal_removal,[],[f1362]) ).
fof(f1375,plain,
( ~ spl0_120
| ~ spl0_179
| ~ spl0_4
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1370,f698,f207,f1260,f694]) ).
fof(f1380,plain,
( ! [X0] :
( c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_7
| ~ spl0_30 ),
inference(resolution,[],[f301,f218]) ).
fof(f1387,plain,
( c0_1(a297)
| ~ c2_1(a297)
| ~ spl0_30
| ~ spl0_121 ),
inference(resolution,[],[f301,f699]) ).
fof(f1389,plain,
( ! [X0] :
( c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_7
| ~ spl0_30 ),
inference(duplicate_literal_removal,[],[f1380]) ).
fof(f1391,plain,
( ~ spl0_120
| spl0_72
| ~ spl0_30
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1387,f698,f300,f482,f694]) ).
fof(f1418,plain,
( c3_1(a331)
| c2_1(a331)
| ~ spl0_37
| spl0_101 ),
inference(resolution,[],[f329,f616]) ).
fof(f1455,plain,
( ~ spl0_125
| ~ spl0_126
| ~ spl0_12
| spl0_167 ),
inference(avatar_split_clause,[],[f1025,f959,f234,f718,f714]) ).
fof(f1456,plain,
( ~ spl0_165
| ~ spl0_134
| ~ spl0_12
| spl0_82 ),
inference(avatar_split_clause,[],[f1024,f530,f234,f750,f941]) ).
fof(f1466,plain,
( spl0_100
| spl0_99
| ~ spl0_37
| spl0_101 ),
inference(avatar_split_clause,[],[f1418,f615,f328,f607,f611]) ).
fof(f1490,plain,
( c0_1(a326)
| ~ c3_1(a326)
| ~ spl0_9
| ~ spl0_142 ),
inference(resolution,[],[f783,f225]) ).
fof(f1493,plain,
( ~ spl0_141
| spl0_93
| ~ spl0_9
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1490,f782,f224,f580,f778]) ).
fof(f1494,plain,
( c0_1(a341)
| ~ c2_1(a341)
| ~ spl0_30
| ~ spl0_146 ),
inference(resolution,[],[f799,f301]) ).
fof(f1496,plain,
( ~ spl0_162
| spl0_104
| ~ spl0_30
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1494,f798,f300,f629,f912]) ).
fof(f1509,plain,
( ~ c3_1(a296)
| ~ c2_1(a296)
| ~ spl0_4
| ~ spl0_151 ),
inference(resolution,[],[f820,f208]) ).
fof(f1511,plain,
( ~ spl0_150
| ~ spl0_149
| ~ spl0_4
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1509,f819,f207,f810,f815]) ).
fof(f1513,plain,
( ~ c3_1(a301)
| ~ c0_1(a301)
| ~ spl0_19
| ~ spl0_153 ),
inference(resolution,[],[f829,f260]) ).
fof(f1518,plain,
( ~ spl0_154
| ~ spl0_152
| ~ spl0_19
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1513,f828,f259,f823,f832]) ).
fof(f1524,plain,
( c3_1(a311)
| ~ c0_1(a311)
| ~ spl0_11
| spl0_166 ),
inference(resolution,[],[f232,f948]) ).
fof(f1540,plain,
( ~ spl0_138
| spl0_85
| ~ spl0_11
| spl0_166 ),
inference(avatar_split_clause,[],[f1524,f947,f231,f544,f766]) ).
fof(f1572,plain,
( c3_1(a308)
| c2_1(a308)
| ~ spl0_37
| spl0_83 ),
inference(resolution,[],[f329,f535]) ).
fof(f1577,plain,
( c3_1(a331)
| c2_1(a331)
| ~ spl0_37
| spl0_101 ),
inference(resolution,[],[f329,f616]) ).
fof(f1580,plain,
( spl0_100
| spl0_99
| ~ spl0_37
| spl0_101 ),
inference(avatar_split_clause,[],[f1577,f615,f328,f607,f611]) ).
fof(f1591,plain,
( c2_1(a337)
| ~ c3_1(a337)
| ~ spl0_40
| ~ spl0_145 ),
inference(resolution,[],[f340,f795]) ).
fof(f1600,plain,
( ~ spl0_144
| spl0_102
| ~ spl0_40
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1591,f794,f339,f620,f790]) ).
fof(f1615,plain,
( c3_1(a341)
| c0_1(a341)
| ~ spl0_15
| spl0_162 ),
inference(resolution,[],[f247,f913]) ).
fof(f1621,plain,
( c3_1(a331)
| c0_1(a331)
| ~ spl0_15
| spl0_100 ),
inference(resolution,[],[f247,f612]) ).
fof(f1622,plain,
( c3_1(a329)
| c0_1(a329)
| ~ spl0_15
| spl0_94 ),
inference(resolution,[],[f247,f586]) ).
fof(f1645,plain,
( ~ c3_1(a329)
| c0_1(a329)
| ~ spl0_41
| spl0_95 ),
inference(resolution,[],[f344,f590]) ).
fof(f1648,plain,
( spl0_96
| ~ spl0_171
| ~ spl0_41
| spl0_95 ),
inference(avatar_split_clause,[],[f1645,f589,f343,f1018,f593]) ).
fof(f1694,plain,
( c3_1(a325)
| ~ c0_1(a325)
| ~ spl0_38
| spl0_92 ),
inference(resolution,[],[f333,f576]) ).
fof(f1695,plain,
( c3_1(a308)
| ~ c0_1(a308)
| ~ spl0_38
| spl0_83 ),
inference(resolution,[],[f333,f535]) ).
fof(f1700,plain,
( c3_1(a331)
| ~ c0_1(a331)
| ~ spl0_38
| spl0_101 ),
inference(resolution,[],[f333,f616]) ).
fof(f1704,plain,
( ~ spl0_134
| spl0_165
| ~ spl0_38
| spl0_83 ),
inference(avatar_split_clause,[],[f1695,f534,f332,f941,f750]) ).
fof(f1712,plain,
( ~ c3_1(a337)
| ~ c0_1(a337)
| ~ spl0_49
| ~ spl0_145 ),
inference(resolution,[],[f372,f795]) ).
fof(f1722,plain,
( ~ spl0_165
| ~ spl0_134
| ~ spl0_6
| spl0_83 ),
inference(avatar_split_clause,[],[f939,f534,f214,f750,f941]) ).
fof(f1726,plain,
( spl0_104
| spl0_162
| ~ spl0_8
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f964,f798,f221,f912,f629]) ).
fof(f1741,plain,
( spl0_19
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1372,f214,f207,f259]) ).
fof(f1750,plain,
( ~ spl0_133
| spl0_80
| ~ spl0_14
| spl0_81 ),
inference(avatar_split_clause,[],[f1139,f525,f242,f521,f746]) ).
fof(f1759,plain,
( ~ spl0_133
| ~ spl0_180
| ~ spl0_25
| spl0_81 ),
inference(avatar_split_clause,[],[f1329,f525,f281,f1281,f746]) ).
fof(f1797,plain,
( c3_1(a311)
| ~ c2_1(a311)
| ~ spl0_2
| ~ spl0_137 ),
inference(resolution,[],[f202,f763]) ).
fof(f1801,plain,
( c3_1(a297)
| ~ c2_1(a297)
| ~ spl0_2
| ~ spl0_121 ),
inference(resolution,[],[f202,f699]) ).
fof(f1808,plain,
( c2_1(a368)
| c0_1(a368)
| ~ spl0_8
| ~ spl0_148 ),
inference(resolution,[],[f222,f807]) ).
fof(f1811,plain,
( c2_1(a306)
| c0_1(a306)
| ~ spl0_8
| ~ spl0_132 ),
inference(resolution,[],[f222,f743]) ).
fof(f1816,plain,
( spl0_79
| spl0_168
| ~ spl0_8
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1811,f742,f221,f972,f516]) ).
fof(f1819,plain,
( spl0_112
| spl0_111
| ~ spl0_8
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1808,f806,f221,f658,f662]) ).
fof(f1820,plain,
( ~ spl0_168
| ~ spl0_131
| ~ spl0_4
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1368,f742,f207,f738,f972]) ).
fof(f1837,plain,
( spl0_9
| ~ spl0_7
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1351,f296,f217,f224]) ).
fof(f1841,plain,
( spl0_9
| ~ spl0_7
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1389,f300,f217,f224]) ).
fof(f1873,plain,
( spl0_19
| ~ spl0_4
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f1374,f281,f207,f259]) ).
fof(f1885,plain,
( ~ spl0_170
| spl0_99
| ~ spl0_38
| spl0_101 ),
inference(avatar_split_clause,[],[f1700,f615,f332,f607,f996]) ).
fof(f1887,plain,
( ~ spl0_173
| ~ spl0_144
| ~ spl0_49
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1712,f794,f371,f790,f1056]) ).
fof(f1922,plain,
( c2_1(a337)
| c0_1(a337)
| ~ spl0_8
| ~ spl0_145 ),
inference(resolution,[],[f222,f795]) ).
fof(f1926,plain,
( spl0_173
| spl0_102
| ~ spl0_8
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1922,f794,f221,f620,f1056]) ).
fof(f1931,plain,
( c3_1(a315)
| c0_1(a315)
| ~ spl0_10
| ~ spl0_139 ),
inference(resolution,[],[f229,f771]) ).
fof(f1932,plain,
( c3_1(a307)
| c0_1(a307)
| ~ spl0_10
| ~ spl0_133 ),
inference(resolution,[],[f229,f747]) ).
fof(f1934,plain,
( c3_1(a297)
| c0_1(a297)
| ~ spl0_10
| ~ spl0_120 ),
inference(resolution,[],[f229,f695]) ).
fof(f1939,plain,
( spl0_87
| spl0_86
| ~ spl0_10
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1931,f770,f228,f549,f553]) ).
fof(f1945,plain,
( c3_1(a311)
| c2_1(a311)
| ~ spl0_16
| ~ spl0_137 ),
inference(resolution,[],[f250,f763]) ).
fof(f1947,plain,
( c3_1(a291)
| c2_1(a291)
| ~ spl0_16
| ~ spl0_113 ),
inference(resolution,[],[f250,f667]) ).
fof(f1948,plain,
( spl0_65
| spl0_64
| ~ spl0_16
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f1947,f666,f249,f445,f449]) ).
fof(f1980,plain,
( spl0_82
| spl0_165
| ~ spl0_37
| spl0_83 ),
inference(avatar_split_clause,[],[f1572,f534,f328,f941,f530]) ).
fof(f1991,plain,
( c0_1(a297)
| ~ c3_1(a297)
| ~ spl0_9
| ~ spl0_120 ),
inference(resolution,[],[f225,f695]) ).
fof(f1994,plain,
( ~ spl0_179
| spl0_72
| ~ spl0_9
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1991,f694,f224,f482,f1260]) ).
fof(f2006,plain,
( c3_1(a295)
| ~ c0_1(a295)
| ~ spl0_11
| spl0_71 ),
inference(resolution,[],[f232,f478]) ).
fof(f2014,plain,
( ~ spl0_119
| spl0_70
| ~ spl0_11
| spl0_71 ),
inference(avatar_split_clause,[],[f2006,f477,f231,f473,f690]) ).
fof(f2024,plain,
( ~ c3_1(a294)
| ~ c0_1(a294)
| ~ spl0_19
| ~ spl0_117 ),
inference(resolution,[],[f260,f683]) ).
fof(f2026,plain,
( ~ spl0_118
| ~ spl0_176
| ~ spl0_19
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f2024,f682,f259,f1096,f686]) ).
fof(f2044,plain,
( c3_1(a294)
| ~ c0_1(a294)
| ~ spl0_33
| ~ spl0_117 ),
inference(resolution,[],[f312,f683]) ).
fof(f2067,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_7
| ~ spl0_51 ),
inference(resolution,[],[f380,f218]) ).
fof(f2068,plain,
( ~ c2_1(a367)
| ~ c0_1(a367)
| ~ spl0_51
| ~ spl0_160 ),
inference(resolution,[],[f380,f857]) ).
fof(f2072,plain,
( ~ c2_1(a311)
| ~ c0_1(a311)
| ~ spl0_51
| ~ spl0_137 ),
inference(resolution,[],[f380,f763]) ).
fof(f2075,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_7
| ~ spl0_51 ),
inference(duplicate_literal_removal,[],[f2067]) ).
fof(f2112,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_30
| ~ spl0_63 ),
inference(resolution,[],[f439,f301]) ).
fof(f2121,plain,
( c3_1(a359)
| c0_1(a359)
| ~ spl0_63
| spl0_108 ),
inference(resolution,[],[f439,f648]) ).
fof(f2122,plain,
( c3_1(a329)
| c0_1(a329)
| ~ spl0_63
| spl0_95 ),
inference(resolution,[],[f439,f590]) ).
fof(f2123,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_30
| ~ spl0_63 ),
inference(duplicate_literal_removal,[],[f2112]) ).
fof(f2124,plain,
( spl0_96
| spl0_171
| ~ spl0_63
| spl0_95 ),
inference(avatar_split_clause,[],[f2122,f589,f438,f1018,f593]) ).
fof(f2125,plain,
( spl0_109
| spl0_107
| ~ spl0_63
| spl0_108 ),
inference(avatar_split_clause,[],[f2121,f647,f438,f643,f651]) ).
fof(f2128,plain,
( spl0_10
| ~ spl0_30
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f2123,f438,f300,f228]) ).
fof(f2131,plain,
( ~ spl0_166
| spl0_85
| ~ spl0_2
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1797,f762,f201,f544,f947]) ).
fof(f2151,plain,
( spl0_180
| spl0_80
| ~ spl0_10
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1932,f746,f228,f521,f1281]) ).
fof(f2153,plain,
( spl0_72
| spl0_179
| ~ spl0_10
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1934,f694,f228,f1260,f482]) ).
fof(f2157,plain,
( spl0_166
| spl0_85
| ~ spl0_16
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1945,f762,f249,f544,f947]) ).
fof(f2164,plain,
( ~ spl0_140
| spl0_91
| ~ spl0_38
| spl0_92 ),
inference(avatar_split_clause,[],[f1694,f575,f332,f571,f774]) ).
fof(f2165,plain,
( ~ spl0_161
| ~ spl0_158
| ~ spl0_51
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2068,f856,f379,f849,f860]) ).
fof(f2167,plain,
( ~ spl0_138
| ~ spl0_166
| ~ spl0_51
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2072,f762,f379,f947,f766]) ).
fof(f2174,plain,
( spl0_19
| ~ spl0_7
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f2075,f379,f217,f259]) ).
fof(f2187,plain,
( spl0_104
| spl0_103
| ~ spl0_15
| spl0_162 ),
inference(avatar_split_clause,[],[f1615,f912,f246,f625,f629]) ).
fof(f2188,plain,
( spl0_170
| spl0_99
| ~ spl0_15
| spl0_100 ),
inference(avatar_split_clause,[],[f1621,f611,f246,f607,f996]) ).
fof(f2189,plain,
( spl0_96
| spl0_171
| ~ spl0_15
| spl0_94 ),
inference(avatar_split_clause,[],[f1622,f585,f246,f1018,f593]) ).
fof(f2200,plain,
( ~ spl0_118
| spl0_176
| ~ spl0_33
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f2044,f682,f311,f1096,f686]) ).
fof(f2207,plain,
( ~ spl0_120
| spl0_179
| ~ spl0_2
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1801,f698,f201,f1260,f694]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f209]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f219]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_7
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f226]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_10
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f236]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_5
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f237]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_7
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f244]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_9
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f251]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_17
| spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f261]) ).
cnf(s10,plain,
( ~ spl0_3
| spl0_19
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f272]) ).
cnf(s12,plain,
( spl0_2
| ~ spl0_3
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f283]) ).
cnf(s13,plain,
( ~ spl0_3
| spl0_18
| spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f287]) ).
cnf(s14,plain,
( ~ spl0_3
| spl0_6
| spl0_25
| spl0_27 ),
inference(sat_conversion,[],[f291]) ).
cnf(s15,plain,
( ~ spl0_3
| spl0_22
| spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f298]) ).
cnf(s16,plain,
( ~ spl0_3
| spl0_26
| spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f302]) ).
cnf(s17,plain,
( ~ spl0_3
| spl0_10
| spl0_19
| spl0_31 ),
inference(sat_conversion,[],[f306]) ).
cnf(s18,plain,
( spl0_1
| ~ spl0_3
| spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f313]) ).
cnf(s21,plain,
( ~ spl0_3
| spl0_8
| spl0_30
| spl0_35 ),
inference(sat_conversion,[],[f322]) ).
cnf(s22,plain,
( spl0_1
| ~ spl0_3
| spl0_11
| spl0_36 ),
inference(sat_conversion,[],[f326]) ).
cnf(s23,plain,
( ~ spl0_3
| spl0_21
| spl0_29
| spl0_37 ),
inference(sat_conversion,[],[f330]) ).
cnf(s25,plain,
( ~ spl0_3
| spl0_15
| spl0_39
| spl0_40 ),
inference(sat_conversion,[],[f341]) ).
cnf(s26,plain,
( ~ spl0_3
| spl0_5
| spl0_26
| spl0_41 ),
inference(sat_conversion,[],[f345]) ).
cnf(s27,plain,
( ~ spl0_3
| spl0_37
| spl0_38
| spl0_42 ),
inference(sat_conversion,[],[f349]) ).
cnf(s31,plain,
( ~ spl0_3
| spl0_39
| spl0_47
| spl0_49 ),
inference(sat_conversion,[],[f374]) ).
cnf(s32,plain,
( ~ spl0_3
| spl0_42
| spl0_50
| spl0_51 ),
inference(sat_conversion,[],[f381]) ).
cnf(s33,plain,
( ~ spl0_3
| spl0_51
| spl0_52 ),
inference(sat_conversion,[],[f385]) ).
cnf(s36,plain,
( ~ spl0_3
| spl0_6
| spl0_28
| spl0_35 ),
inference(sat_conversion,[],[f388]) ).
cnf(s39,plain,
( ~ spl0_3
| spl0_25
| spl0_27
| spl0_54 ),
inference(sat_conversion,[],[f397]) ).
cnf(s41,plain,
( ~ spl0_3
| spl0_29
| spl0_42
| spl0_56 ),
inference(sat_conversion,[],[f405]) ).
cnf(s42,plain,
( ~ spl0_3
| spl0_21
| spl0_30
| spl0_46 ),
inference(sat_conversion,[],[f406]) ).
cnf(s43,plain,
( ~ spl0_3
| spl0_17
| spl0_27
| spl0_30 ),
inference(sat_conversion,[],[f407]) ).
cnf(s44,plain,
( ~ spl0_3
| spl0_33
| spl0_36 ),
inference(sat_conversion,[],[f408]) ).
cnf(s45,plain,
( ~ spl0_3
| spl0_14
| spl0_39
| spl0_52 ),
inference(sat_conversion,[],[f409]) ).
cnf(s46,plain,
( ~ spl0_3
| spl0_28
| spl0_38
| spl0_47 ),
inference(sat_conversion,[],[f410]) ).
cnf(s49,plain,
( ~ spl0_3
| spl0_10
| spl0_28
| spl0_39 ),
inference(sat_conversion,[],[f419]) ).
cnf(s50,plain,
( ~ spl0_3
| spl0_5
| spl0_46
| spl0_53 ),
inference(sat_conversion,[],[f420]) ).
cnf(s54,plain,
( ~ spl0_3
| spl0_37
| spl0_48
| spl0_62 ),
inference(sat_conversion,[],[f436]) ).
cnf(s55,plain,
( ~ spl0_3
| spl0_21
| spl0_47
| spl0_63 ),
inference(sat_conversion,[],[f440]) ).
cnf(s57,plain,
( ~ spl0_3
| spl0_42
| spl0_63 ),
inference(sat_conversion,[],[f442]) ).
cnf(s58,plain,
( ~ spl0_43
| ~ spl0_64 ),
inference(sat_conversion,[],[f447]) ).
cnf(s59,plain,
( ~ spl0_43
| ~ spl0_65 ),
inference(sat_conversion,[],[f451]) ).
cnf(s61,plain,
( ~ spl0_56
| ~ spl0_67 ),
inference(sat_conversion,[],[f461]) ).
cnf(s62,plain,
( ~ spl0_56
| ~ spl0_68 ),
inference(sat_conversion,[],[f465]) ).
cnf(s63,plain,
( ~ spl0_42
| ~ spl0_69 ),
inference(sat_conversion,[],[f470]) ).
cnf(s64,plain,
( ~ spl0_21
| ~ spl0_70 ),
inference(sat_conversion,[],[f475]) ).
cnf(s65,plain,
( ~ spl0_21
| ~ spl0_71 ),
inference(sat_conversion,[],[f479]) ).
cnf(s66,plain,
( ~ spl0_31
| ~ spl0_72 ),
inference(sat_conversion,[],[f484]) ).
cnf(s69,plain,
( ~ spl0_26
| ~ spl0_75 ),
inference(sat_conversion,[],[f498]) ).
cnf(s70,plain,
( ~ spl0_39
| ~ spl0_76 ),
inference(sat_conversion,[],[f503]) ).
cnf(s71,plain,
( ~ spl0_24
| ~ spl0_77 ),
inference(sat_conversion,[],[f508]) ).
cnf(s73,plain,
( ~ spl0_46
| ~ spl0_79 ),
inference(sat_conversion,[],[f518]) ).
cnf(s74,plain,
( ~ spl0_53
| ~ spl0_80 ),
inference(sat_conversion,[],[f523]) ).
cnf(s75,plain,
( ~ spl0_53
| ~ spl0_81 ),
inference(sat_conversion,[],[f527]) ).
cnf(s76,plain,
( ~ spl0_17
| ~ spl0_82 ),
inference(sat_conversion,[],[f532]) ).
cnf(s77,plain,
( ~ spl0_17
| ~ spl0_83 ),
inference(sat_conversion,[],[f536]) ).
cnf(s79,plain,
( ~ spl0_28
| ~ spl0_85 ),
inference(sat_conversion,[],[f546]) ).
cnf(s80,plain,
( ~ spl0_27
| ~ spl0_86 ),
inference(sat_conversion,[],[f551]) ).
cnf(s81,plain,
( ~ spl0_27
| ~ spl0_87 ),
inference(sat_conversion,[],[f555]) ).
cnf(s85,plain,
( ~ spl0_48
| ~ spl0_91 ),
inference(sat_conversion,[],[f573]) ).
cnf(s86,plain,
( ~ spl0_48
| ~ spl0_92 ),
inference(sat_conversion,[],[f577]) ).
cnf(s87,plain,
( ~ spl0_62
| ~ spl0_93 ),
inference(sat_conversion,[],[f582]) ).
cnf(s88,plain,
( ~ spl0_36
| ~ spl0_94 ),
inference(sat_conversion,[],[f587]) ).
cnf(s89,plain,
( ~ spl0_36
| ~ spl0_95 ),
inference(sat_conversion,[],[f591]) ).
cnf(s90,plain,
( ~ spl0_36
| ~ spl0_96 ),
inference(sat_conversion,[],[f595]) ).
cnf(s93,plain,
( ~ spl0_32
| ~ spl0_99 ),
inference(sat_conversion,[],[f609]) ).
cnf(s94,plain,
( ~ spl0_32
| ~ spl0_100 ),
inference(sat_conversion,[],[f613]) ).
cnf(s95,plain,
( ~ spl0_32
| ~ spl0_101 ),
inference(sat_conversion,[],[f617]) ).
cnf(s96,plain,
( ~ spl0_52
| ~ spl0_102 ),
inference(sat_conversion,[],[f622]) ).
cnf(s97,plain,
( ~ spl0_54
| ~ spl0_103 ),
inference(sat_conversion,[],[f627]) ).
cnf(s98,plain,
( ~ spl0_54
| ~ spl0_104 ),
inference(sat_conversion,[],[f631]) ).
cnf(s101,plain,
( ~ spl0_50
| ~ spl0_107 ),
inference(sat_conversion,[],[f645]) ).
cnf(s102,plain,
( ~ spl0_50
| ~ spl0_108 ),
inference(sat_conversion,[],[f649]) ).
cnf(s103,plain,
( ~ spl0_50
| ~ spl0_109 ),
inference(sat_conversion,[],[f653]) ).
cnf(s104,plain,
( ~ spl0_110
| ~ spl0_111 ),
inference(sat_conversion,[],[f660]) ).
cnf(s105,plain,
( ~ spl0_110
| ~ spl0_112 ),
inference(sat_conversion,[],[f664]) ).
cnf(s106,plain,
( ~ spl0_43
| spl0_113 ),
inference(sat_conversion,[],[f668]) ).
cnf(s109,plain,
( ~ spl0_56
| spl0_116 ),
inference(sat_conversion,[],[f680]) ).
cnf(s110,plain,
( ~ spl0_42
| spl0_117 ),
inference(sat_conversion,[],[f684]) ).
cnf(s111,plain,
( ~ spl0_42
| spl0_118 ),
inference(sat_conversion,[],[f688]) ).
cnf(s112,plain,
( ~ spl0_21
| spl0_119 ),
inference(sat_conversion,[],[f692]) ).
cnf(s113,plain,
( ~ spl0_31
| spl0_120 ),
inference(sat_conversion,[],[f696]) ).
cnf(s114,plain,
( ~ spl0_31
| spl0_121 ),
inference(sat_conversion,[],[f700]) ).
cnf(s116,plain,
( ~ spl0_26
| spl0_123 ),
inference(sat_conversion,[],[f708]) ).
cnf(s117,plain,
( ~ spl0_26
| spl0_124 ),
inference(sat_conversion,[],[f712]) ).
cnf(s118,plain,
( ~ spl0_39
| spl0_125 ),
inference(sat_conversion,[],[f716]) ).
cnf(s119,plain,
( ~ spl0_39
| spl0_126 ),
inference(sat_conversion,[],[f720]) ).
cnf(s120,plain,
( ~ spl0_24
| spl0_127 ),
inference(sat_conversion,[],[f724]) ).
cnf(s121,plain,
( ~ spl0_24
| spl0_128 ),
inference(sat_conversion,[],[f728]) ).
cnf(s124,plain,
( ~ spl0_46
| spl0_131 ),
inference(sat_conversion,[],[f740]) ).
cnf(s125,plain,
( ~ spl0_46
| spl0_132 ),
inference(sat_conversion,[],[f744]) ).
cnf(s126,plain,
( ~ spl0_53
| spl0_133 ),
inference(sat_conversion,[],[f748]) ).
cnf(s127,plain,
( ~ spl0_17
| spl0_134 ),
inference(sat_conversion,[],[f752]) ).
cnf(s130,plain,
( ~ spl0_28
| spl0_137 ),
inference(sat_conversion,[],[f764]) ).
cnf(s131,plain,
( ~ spl0_28
| spl0_138 ),
inference(sat_conversion,[],[f768]) ).
cnf(s132,plain,
( ~ spl0_27
| spl0_139 ),
inference(sat_conversion,[],[f772]) ).
cnf(s133,plain,
( ~ spl0_48
| spl0_140 ),
inference(sat_conversion,[],[f776]) ).
cnf(s134,plain,
( ~ spl0_62
| spl0_141 ),
inference(sat_conversion,[],[f780]) ).
cnf(s135,plain,
( ~ spl0_62
| spl0_142 ),
inference(sat_conversion,[],[f784]) ).
cnf(s137,plain,
( ~ spl0_52
| spl0_144 ),
inference(sat_conversion,[],[f792]) ).
cnf(s138,plain,
( ~ spl0_52
| spl0_145 ),
inference(sat_conversion,[],[f796]) ).
cnf(s139,plain,
( ~ spl0_54
| spl0_146 ),
inference(sat_conversion,[],[f800]) ).
cnf(s141,plain,
( ~ spl0_110
| spl0_148 ),
inference(sat_conversion,[],[f808]) ).
cnf(s142,plain,
( ~ spl0_47
| spl0_149 ),
inference(sat_conversion,[],[f813]) ).
cnf(s143,plain,
( ~ spl0_47
| spl0_150 ),
inference(sat_conversion,[],[f817]) ).
cnf(s144,plain,
( ~ spl0_47
| spl0_151 ),
inference(sat_conversion,[],[f821]) ).
cnf(s145,plain,
( ~ spl0_35
| spl0_152 ),
inference(sat_conversion,[],[f826]) ).
cnf(s146,plain,
( ~ spl0_35
| spl0_153 ),
inference(sat_conversion,[],[f830]) ).
cnf(s147,plain,
( ~ spl0_35
| spl0_154 ),
inference(sat_conversion,[],[f834]) ).
cnf(s151,plain,
( spl0_158
| ~ spl0_159 ),
inference(sat_conversion,[],[f854]) ).
cnf(s152,plain,
( ~ spl0_159
| spl0_160 ),
inference(sat_conversion,[],[f858]) ).
cnf(s153,plain,
( ~ spl0_159
| spl0_161 ),
inference(sat_conversion,[],[f862]) ).
cnf(s157,plain,
( spl0_27
| spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f866]) ).
cnf(s158,plain,
( spl0_17
| spl0_36
| spl0_56 ),
inference(sat_conversion,[],[f867]) ).
cnf(s162,plain,
( spl0_42
| spl0_43
| spl0_52 ),
inference(sat_conversion,[],[f871]) ).
cnf(s164,plain,
( spl0_54
| spl0_110
| spl0_159 ),
inference(sat_conversion,[],[f875]) ).
cnf(s189,plain,
( spl0_3
| ~ spl0_54 ),
inference(sat_conversion,[],[f901]) ).
cnf(s192,plain,
( spl0_3
| ~ spl0_110 ),
inference(sat_conversion,[],[f904]) ).
cnf(s196,plain,
( spl0_3
| ~ spl0_159 ),
inference(sat_conversion,[],[f908]) ).
cnf(s197,plain,
( ~ spl0_2
| spl0_103
| ~ spl0_146
| ~ spl0_162 ),
inference(sat_conversion,[],[f915]) ).
cnf(s198,plain,
( ~ spl0_5
| spl0_103
| spl0_104
| ~ spl0_146 ),
inference(sat_conversion,[],[f919]) ).
cnf(s201,plain,
( ~ spl0_6
| spl0_76
| ~ spl0_125
| ~ spl0_126 ),
inference(sat_conversion,[],[f938]) ).
cnf(s204,plain,
( ~ spl0_7
| spl0_76
| ~ spl0_125
| ~ spl0_167 ),
inference(sat_conversion,[],[f961]) ).
cnf(s217,plain,
( ~ spl0_12
| spl0_75
| ~ spl0_123
| ~ spl0_124 ),
inference(sat_conversion,[],[f1034]) ).
cnf(s233,plain,
( ~ spl0_6
| spl0_69
| ~ spl0_118
| ~ spl0_176 ),
inference(sat_conversion,[],[f1099]) ).
cnf(s240,plain,
( ~ spl0_1
| spl0_94
| spl0_95
| ~ spl0_171 ),
inference(sat_conversion,[],[f1132]) ).
cnf(s241,plain,
( ~ spl0_1
| spl0_67
| spl0_68
| ~ spl0_116 ),
inference(sat_conversion,[],[f1133]) ).
cnf(s242,plain,
( ~ spl0_1
| spl0_76
| ~ spl0_125
| spl0_167 ),
inference(sat_conversion,[],[f1134]) ).
cnf(s244,plain,
( ~ spl0_14
| spl0_69
| ~ spl0_117
| spl0_176 ),
inference(sat_conversion,[],[f1157]) ).
cnf(s247,plain,
( ~ spl0_5
| spl0_10
| ~ spl0_14 ),
inference(sat_conversion,[],[f1163]) ).
cnf(s252,plain,
( ~ spl0_13
| spl0_102
| ~ spl0_144
| spl0_173 ),
inference(sat_conversion,[],[f1170]) ).
cnf(s255,plain,
( ~ spl0_12
| spl0_77
| ~ spl0_128
| ~ spl0_178 ),
inference(sat_conversion,[],[f1178]) ).
cnf(s257,plain,
( ~ spl0_7
| spl0_69
| ~ spl0_117
| ~ spl0_176 ),
inference(sat_conversion,[],[f1193]) ).
cnf(s269,plain,
( ~ spl0_18
| ~ spl0_127
| ~ spl0_128
| spl0_178 ),
inference(sat_conversion,[],[f1241]) ).
cnf(s270,plain,
( ~ spl0_18
| spl0_85
| ~ spl0_137
| ~ spl0_138 ),
inference(sat_conversion,[],[f1243]) ).
cnf(s277,plain,
( ~ spl0_5
| spl0_72
| ~ spl0_121
| spl0_179 ),
inference(sat_conversion,[],[f1269]) ).
cnf(s288,plain,
( ~ spl0_19
| ~ spl0_125
| ~ spl0_126
| ~ spl0_167 ),
inference(sat_conversion,[],[f1305]) ).
cnf(s291,plain,
( ~ spl0_22
| spl0_77
| ~ spl0_127
| ~ spl0_128 ),
inference(sat_conversion,[],[f1321]) ).
cnf(s293,plain,
( ~ spl0_22
| spl0_102
| ~ spl0_145
| ~ spl0_173 ),
inference(sat_conversion,[],[f1324]) ).
cnf(s295,plain,
( ~ spl0_25
| spl0_69
| ~ spl0_117
| ~ spl0_118 ),
inference(sat_conversion,[],[f1335]) ).
cnf(s298,plain,
( ~ spl0_29
| spl0_72
| ~ spl0_121
| ~ spl0_179 ),
inference(sat_conversion,[],[f1353]) ).
cnf(s303,plain,
( ~ spl0_4
| ~ spl0_120
| ~ spl0_121
| ~ spl0_179 ),
inference(sat_conversion,[],[f1375]) ).
cnf(s306,plain,
( ~ spl0_30
| spl0_72
| ~ spl0_120
| ~ spl0_121 ),
inference(sat_conversion,[],[f1391]) ).
cnf(s323,plain,
( ~ spl0_12
| ~ spl0_125
| ~ spl0_126
| spl0_167 ),
inference(sat_conversion,[],[f1455]) ).
cnf(s324,plain,
( ~ spl0_12
| spl0_82
| ~ spl0_134
| ~ spl0_165 ),
inference(sat_conversion,[],[f1456]) ).
cnf(s334,plain,
( ~ spl0_37
| spl0_99
| spl0_100
| spl0_101 ),
inference(sat_conversion,[],[f1466]) ).
cnf(s343,plain,
( ~ spl0_9
| spl0_93
| ~ spl0_141
| ~ spl0_142 ),
inference(sat_conversion,[],[f1493]) ).
cnf(s344,plain,
( ~ spl0_30
| spl0_104
| ~ spl0_146
| ~ spl0_162 ),
inference(sat_conversion,[],[f1496]) ).
cnf(s347,plain,
( ~ spl0_4
| ~ spl0_149
| ~ spl0_150
| ~ spl0_151 ),
inference(sat_conversion,[],[f1511]) ).
cnf(s350,plain,
( ~ spl0_19
| ~ spl0_152
| ~ spl0_153
| ~ spl0_154 ),
inference(sat_conversion,[],[f1518]) ).
cnf(s356,plain,
( ~ spl0_11
| spl0_85
| ~ spl0_138
| spl0_166 ),
inference(sat_conversion,[],[f1540]) ).
cnf(s369,plain,
( ~ spl0_37
| spl0_99
| spl0_100
| spl0_101 ),
inference(sat_conversion,[],[f1580]) ).
cnf(s375,plain,
( ~ spl0_40
| spl0_102
| ~ spl0_144
| ~ spl0_145 ),
inference(sat_conversion,[],[f1600]) ).
cnf(s390,plain,
( ~ spl0_41
| spl0_95
| spl0_96
| ~ spl0_171 ),
inference(sat_conversion,[],[f1648]) ).
cnf(s406,plain,
( ~ spl0_38
| spl0_83
| ~ spl0_134
| spl0_165 ),
inference(sat_conversion,[],[f1704]) ).
cnf(s411,plain,
( ~ spl0_6
| spl0_83
| ~ spl0_134
| ~ spl0_165 ),
inference(sat_conversion,[],[f1722]) ).
cnf(s415,plain,
( ~ spl0_8
| spl0_104
| ~ spl0_146
| spl0_162 ),
inference(sat_conversion,[],[f1726]) ).
cnf(s430,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_19 ),
inference(sat_conversion,[],[f1741]) ).
cnf(s439,plain,
( ~ spl0_14
| spl0_80
| spl0_81
| ~ spl0_133 ),
inference(sat_conversion,[],[f1750]) ).
cnf(s448,plain,
( ~ spl0_25
| spl0_81
| ~ spl0_133
| ~ spl0_180 ),
inference(sat_conversion,[],[f1759]) ).
cnf(s481,plain,
( ~ spl0_8
| spl0_79
| ~ spl0_132
| spl0_168 ),
inference(sat_conversion,[],[f1816]) ).
cnf(s483,plain,
( ~ spl0_8
| spl0_111
| spl0_112
| ~ spl0_148 ),
inference(sat_conversion,[],[f1819]) ).
cnf(s484,plain,
( ~ spl0_4
| ~ spl0_131
| ~ spl0_132
| ~ spl0_168 ),
inference(sat_conversion,[],[f1820]) ).
cnf(s501,plain,
( ~ spl0_7
| spl0_9
| ~ spl0_29 ),
inference(sat_conversion,[],[f1837]) ).
cnf(s505,plain,
( ~ spl0_7
| spl0_9
| ~ spl0_30 ),
inference(sat_conversion,[],[f1841]) ).
cnf(s537,plain,
( ~ spl0_4
| spl0_19
| ~ spl0_25 ),
inference(sat_conversion,[],[f1873]) ).
cnf(s550,plain,
( ~ spl0_38
| spl0_99
| spl0_101
| ~ spl0_170 ),
inference(sat_conversion,[],[f1885]) ).
cnf(s552,plain,
( ~ spl0_49
| ~ spl0_144
| ~ spl0_145
| ~ spl0_173 ),
inference(sat_conversion,[],[f1887]) ).
cnf(s564,plain,
( ~ spl0_8
| spl0_102
| ~ spl0_145
| spl0_173 ),
inference(sat_conversion,[],[f1926]) ).
cnf(s568,plain,
( ~ spl0_10
| spl0_86
| spl0_87
| ~ spl0_139 ),
inference(sat_conversion,[],[f1939]) ).
cnf(s570,plain,
( ~ spl0_16
| spl0_64
| spl0_65
| ~ spl0_113 ),
inference(sat_conversion,[],[f1948]) ).
cnf(s603,plain,
( ~ spl0_37
| spl0_82
| spl0_83
| spl0_165 ),
inference(sat_conversion,[],[f1980]) ).
cnf(s608,plain,
( ~ spl0_9
| spl0_72
| ~ spl0_120
| ~ spl0_179 ),
inference(sat_conversion,[],[f1994]) ).
cnf(s613,plain,
( ~ spl0_11
| spl0_70
| spl0_71
| ~ spl0_119 ),
inference(sat_conversion,[],[f2014]) ).
cnf(s616,plain,
( ~ spl0_19
| ~ spl0_117
| ~ spl0_118
| ~ spl0_176 ),
inference(sat_conversion,[],[f2026]) ).
cnf(s637,plain,
( ~ spl0_63
| spl0_95
| spl0_96
| spl0_171 ),
inference(sat_conversion,[],[f2124]) ).
cnf(s638,plain,
( ~ spl0_63
| spl0_107
| spl0_108
| spl0_109 ),
inference(sat_conversion,[],[f2125]) ).
cnf(s641,plain,
( spl0_10
| ~ spl0_30
| ~ spl0_63 ),
inference(sat_conversion,[],[f2128]) ).
cnf(s644,plain,
( ~ spl0_2
| spl0_85
| ~ spl0_137
| ~ spl0_166 ),
inference(sat_conversion,[],[f2131]) ).
cnf(s665,plain,
( ~ spl0_10
| spl0_80
| ~ spl0_133
| spl0_180 ),
inference(sat_conversion,[],[f2151]) ).
cnf(s667,plain,
( ~ spl0_10
| spl0_72
| ~ spl0_120
| spl0_179 ),
inference(sat_conversion,[],[f2153]) ).
cnf(s671,plain,
( ~ spl0_16
| spl0_85
| ~ spl0_137
| spl0_166 ),
inference(sat_conversion,[],[f2157]) ).
cnf(s678,plain,
( ~ spl0_38
| spl0_91
| spl0_92
| ~ spl0_140 ),
inference(sat_conversion,[],[f2164]) ).
cnf(s679,plain,
( ~ spl0_51
| ~ spl0_158
| ~ spl0_160
| ~ spl0_161 ),
inference(sat_conversion,[],[f2165]) ).
cnf(s681,plain,
( ~ spl0_51
| ~ spl0_137
| ~ spl0_138
| ~ spl0_166 ),
inference(sat_conversion,[],[f2167]) ).
cnf(s688,plain,
( ~ spl0_7
| spl0_19
| ~ spl0_51 ),
inference(sat_conversion,[],[f2174]) ).
cnf(s701,plain,
( ~ spl0_15
| spl0_103
| spl0_104
| spl0_162 ),
inference(sat_conversion,[],[f2187]) ).
cnf(s702,plain,
( ~ spl0_15
| spl0_99
| spl0_100
| spl0_170 ),
inference(sat_conversion,[],[f2188]) ).
cnf(s703,plain,
( ~ spl0_15
| spl0_94
| spl0_96
| spl0_171 ),
inference(sat_conversion,[],[f2189]) ).
cnf(s714,plain,
( ~ spl0_33
| ~ spl0_117
| ~ spl0_118
| spl0_176 ),
inference(sat_conversion,[],[f2200]) ).
cnf(s721,plain,
( ~ spl0_2
| ~ spl0_120
| ~ spl0_121
| spl0_179 ),
inference(sat_conversion,[],[f2207]) ).
cnf(s724,plain,
spl0_3,
inference(rat,[],[s164,s189,s192,s196]) ).
cnf(s726,plain,
( ~ spl0_27
| ~ spl0_10 ),
inference(rat,[],[s568,s80,s81,s132]) ).
cnf(s727,plain,
( ~ spl0_35
| ~ spl0_19 ),
inference(rat,[],[s350,s145,s146,s147]) ).
cnf(s731,plain,
( ~ spl0_42
| ~ spl0_25 ),
inference(rat,[],[s295,s63,s110,s111]) ).
cnf(s733,plain,
( spl0_39
| spl0_14
| spl0_15 ),
inference(rat,[],[s375,s96,s137,s138,s25,s45,s724]) ).
cnf(s734,plain,
( ~ spl0_52
| ~ spl0_40 ),
inference(rat,[],[s375,s96,s137,s138]) ).
cnf(s737,plain,
( ~ spl0_62
| ~ spl0_9 ),
inference(rat,[],[s343,s87,s134,s135]) ).
cnf(s738,plain,
( spl0_37
| spl0_42
| spl0_62 ),
inference(rat,[],[s678,s85,s86,s133,s54,s27,s724]) ).
cnf(s739,plain,
( ~ spl0_31
| ~ spl0_10
| ~ spl0_4 ),
inference(rat,[],[s667,s303,s66,s113,s114]) ).
cnf(s740,plain,
( ~ spl0_10
| spl0_62
| spl0_6
| ~ spl0_4 ),
inference(rat,[],[s93,s369,s94,s95,s157,s739,s738,s731,s14,s726,s724]) ).
cnf(s741,plain,
( ~ spl0_25
| spl0_10
| spl0_8
| ~ spl0_4 ),
inference(rat,[],[s641,s21,s57,s727,s731,s537,s724]) ).
cnf(s742,plain,
( spl0_42
| spl0_10
| spl0_8
| ~ spl0_7 ),
inference(rat,[],[s638,s101,s102,s103,s32,s688,s727,s21,s641,s57,s724]) ).
cnf(s743,plain,
( ~ spl0_21
| ~ spl0_11 ),
inference(rat,[],[s613,s64,s65,s112]) ).
cnf(s744,plain,
( ~ spl0_47
| ~ spl0_4 ),
inference(rat,[],[s347,s142,s143,s144]) ).
cnf(s745,plain,
( ~ spl0_10
| spl0_6
| ~ spl0_4 ),
inference(rat,[],[s638,s101,s102,s103,s32,s681,s671,s7,s702,s550,s79,s130,s131,s27,s36,s369,s57,s727,s93,s94,s95,s731,s537,s737,s157,s14,s740,s739,s726,s724]) ).
cnf(s747,plain,
( spl0_11
| ~ spl0_63
| spl0_10
| spl0_5
| spl0_1 ),
inference(rat,[],[s217,s69,s116,s117,s26,s390,s637,s89,s90,s22,s4,s724]) ).
cnf(s748,plain,
( ~ spl0_25
| spl0_10
| spl0_5
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s481,s484,s73,s124,s125,s42,s743,s747,s641,s57,s741,s731,s724]) ).
cnf(s749,plain,
( spl0_8
| spl0_22
| spl0_25
| spl0_62
| spl0_10
| ~ spl0_7
| spl0_47
| spl0_1 ),
inference(rat,[],[s21,s641,s727,s55,s10,s743,s4,s217,s69,s116,s117,s13,s270,s79,s130,s131,s46,s678,s85,s86,s133,s54,s369,s93,s94,s95,s18,s714,s257,s63,s110,s111,s742,s724]) ).
cnf(s750,plain,
( ~ spl0_46
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s481,s484,s73,s124,s125]) ).
cnf(s751,plain,
( ~ spl0_63
| spl0_46
| spl0_10
| spl0_5
| spl0_1 ),
inference(rat,[],[s743,s42,s747,s641,s724]) ).
cnf(s752,plain,
( spl0_6
| spl0_5
| spl0_2
| spl0_1 ),
inference(rat,[],[s217,s69,s116,s117,s13,s269,s255,s4,s743,s55,s751,s750,s749,s291,s71,s120,s121,s12,s748,s737,s5,s745,s2,s744,s1,s724]) ).
cnf(s753,plain,
( spl0_8
| spl0_9
| spl0_35 ),
inference(rat,[],[s505,s21,s3,s724]) ).
cnf(s754,plain,
( ~ spl0_25
| ~ spl0_10
| spl0_35
| spl0_5
| ~ spl0_4 ),
inference(rat,[],[s665,s448,s74,s75,s126,s50,s750,s753,s737,s738,s731,s369,s93,s94,s95,s157,s739,s726,s724]) ).
cnf(s755,plain,
( ~ spl0_39
| ~ spl0_6 ),
inference(rat,[],[s201,s70,s118,s119]) ).
cnf(s756,plain,
( spl0_8
| spl0_103
| spl0_104
| ~ spl0_146
| spl0_37
| spl0_39
| ~ spl0_19 ),
inference(rat,[],[s616,s244,s63,s110,s111,s733,s738,s701,s737,s344,s753,s21,s727,s724]) ).
cnf(s757,plain,
( ~ spl0_8
| spl0_39
| spl0_5
| ~ spl0_4 ),
inference(rat,[],[s564,s552,s96,s137,s138,s45,s439,s74,s75,s126,s50,s750,s31,s744,s724]) ).
cnf(s758,plain,
( ~ spl0_10
| spl0_39
| ~ spl0_19
| spl0_5
| ~ spl0_4 ),
inference(rat,[],[s756,s369,s97,s98,s139,s93,s94,s95,s39,s157,s754,s739,s726,s727,s757,s724]) ).
cnf(s759,plain,
( spl0_5
| spl0_2
| spl0_1 ),
inference(rat,[],[s217,s69,s116,s117,s4,s13,s743,s270,s55,s79,s130,s131,s641,s49,s748,s758,s21,s757,s755,s727,s430,s752,s744,s1,s724]) ).
cnf(s760,plain,
( spl0_35
| spl0_25
| spl0_8
| spl0_10
| spl0_6
| spl0_47 ),
inference(rat,[],[s217,s4,s69,s116,s117,s743,s13,s55,s270,s641,s79,s130,s131,s21,s36,s724]) ).
cnf(s761,plain,
( ~ spl0_31
| ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s277,s303,s66,s113,s114]) ).
cnf(s762,plain,
( spl0_8
| spl0_35
| spl0_6
| ~ spl0_4 ),
inference(rat,[],[s760,s741,s744,s745]) ).
cnf(s763,plain,
( ~ spl0_39
| ~ spl0_12
| ~ spl0_19 ),
inference(rat,[],[s323,s288,s118,s119]) ).
cnf(s764,plain,
( spl0_39
| ~ spl0_8
| spl0_14
| spl0_47 ),
inference(rat,[],[s564,s552,s96,s137,s138,s45,s31,s724]) ).
cnf(s765,plain,
( spl0_6
| ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s641,s42,s55,s743,s4,s763,s764,s750,s762,s727,s17,s247,s745,s744,s761,s724]) ).
cnf(s766,plain,
( ~ spl0_54
| ~ spl0_5 ),
inference(rat,[],[s198,s97,s98,s139]) ).
cnf(s767,plain,
( spl0_27
| spl0_54
| spl0_39
| spl0_31 ),
inference(rat,[],[s570,s58,s59,s106,s162,s734,s25,s7,s702,s550,s737,s27,s738,s731,s39,s369,s93,s94,s95,s157,s724]) ).
cnf(s768,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s749,s291,s6,s71,s120,s121,s252,s737,s12,s552,s753,s741,s96,s137,s138,s764,s45,s247,s726,s767,s766,s31,s727,s755,s430,s765,s761,s759,s744,s1,s724]) ).
cnf(s771,plain,
( ~ spl0_32
| ~ spl0_37 ),
inference(rat,[],[s334,s93,s94,s95]) ).
cnf(s772,plain,
( ~ spl0_9
| spl0_42
| spl0_27
| ~ spl0_2 ),
inference(rat,[],[s608,s721,s66,s113,s114,s157,s771,s738,s737]) ).
cnf(s773,plain,
( ~ spl0_50
| ~ spl0_63 ),
inference(rat,[],[s638,s101,s102,s103]) ).
cnf(s777,plain,
( ~ spl0_159
| ~ spl0_51 ),
inference(rat,[],[s679,s151,s152,s153]) ).
cnf(s778,plain,
( ~ spl0_110
| ~ spl0_8 ),
inference(rat,[],[s483,s104,s105,s141]) ).
cnf(s779,plain,
( ~ spl0_8
| spl0_159
| ~ spl0_2 ),
inference(rat,[],[s415,s197,s97,s98,s139,s164,s778]) ).
cnf(s780,plain,
( spl0_27
| spl0_6
| ~ spl0_2 ),
inference(rat,[],[s727,s753,s688,s3,s779,s777,s32,s773,s772,s57,s731,s14,s724]) ).
cnf(s781,plain,
( spl0_42
| spl0_10
| ~ spl0_2 ),
inference(rat,[],[s608,s721,s66,s113,s114,s17,s727,s3,s21,s742,s779,s777,s32,s773,s641,s57,s724]) ).
cnf(s782,plain,
( ~ spl0_28
| spl0_10
| ~ spl0_2 ),
inference(rat,[],[s217,s69,s116,s117,s4,s13,s356,s270,s644,s79,s130,s131,s731,s781,s724]) ).
cnf(s783,plain,
( spl0_6
| spl0_1 ),
inference(rat,[],[s293,s564,s96,s138,s33,s777,s779,s3,s257,s714,s18,s771,s23,s743,s4,s217,s69,s116,s117,s15,s16,s298,s306,s608,s721,s66,s113,s114,s17,s727,s36,s782,s63,s110,s111,s781,s726,s780,s768,s724]) ).
cnf(s784,plain,
( spl0_42
| spl0_35
| spl0_27
| ~ spl0_2 ),
inference(rat,[],[s777,s779,s32,s753,s773,s772,s57,s724]) ).
cnf(s785,plain,
( ~ spl0_42
| spl0_27
| spl0_1 ),
inference(rat,[],[s701,s197,s733,s97,s98,s139,s244,s39,s233,s731,s63,s110,s111,s768,s755,s783,s724]) ).
cnf(s786,plain,
( spl0_27
| spl0_1 ),
inference(rat,[],[s3,s779,s688,s777,s32,s727,s773,s784,s772,s57,s785,s768,s724]) ).
cnf(s787,plain,
spl0_1,
inference(rat,[],[s49,s782,s726,s786,s755,s783,s768,s724]) ).
cnf(s788,plain,
( ~ spl0_42
| spl0_27
| ~ spl0_2 ),
inference(rat,[],[s701,s197,s733,s97,s98,s139,s244,s39,s233,s731,s63,s110,s111,s755,s780,s724]) ).
cnf(s789,plain,
( spl0_27
| ~ spl0_2 ),
inference(rat,[],[s3,s779,s688,s777,s32,s727,s773,s784,s772,s57,s788,s724]) ).
cnf(s790,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s293,s564,s96,s138,s33,s777,s779,s15,s3,s298,s608,s721,s66,s113,s114,s17,s204,s288,s242,s70,s118,s119,s49,s782,s787,s724]) ).
cnf(s791,plain,
~ spl0_2,
inference(rat,[],[s790,s726,s789]) ).
cnf(s792,plain,
~ spl0_56,
inference(rat,[],[s241,s61,s62,s109,s787]) ).
cnf(s793,plain,
( ~ spl0_9
| spl0_42
| ~ spl0_10 ),
inference(rat,[],[s608,s667,s66,s113,s157,s771,s738,s737,s726]) ).
cnf(s794,plain,
( ~ spl0_8
| spl0_7
| spl0_42
| spl0_27 ),
inference(rat,[],[s27,s603,s406,s411,s2,s76,s77,s127,s43,s344,s415,s766,s98,s139,s164,s778,s777,s32,s773,s57,s724]) ).
cnf(s795,plain,
( spl0_42
| ~ spl0_10
| spl0_35 ),
inference(rat,[],[s753,s794,s501,s793,s41,s726,s724,s792]) ).
cnf(s796,plain,
( ~ spl0_10
| ~ spl0_19 ),
inference(rat,[],[s703,s240,s88,s89,s90,s44,s733,s755,s714,s244,s14,s616,s731,s63,s110,s111,s795,s726,s727,s787,s724]) ).
cnf(s797,plain,
( ~ spl0_17
| spl0_42
| ~ spl0_19 ),
inference(rat,[],[s356,s681,s79,s130,s131,s36,s4,s411,s324,s603,s76,s77,s127,s738,s737,s5,s766,s164,s778,s21,s641,s727,s777,s32,s773,s57,s796,s724]) ).
cnf(s798,plain,
( spl0_42
| ~ spl0_19 ),
inference(rat,[],[s240,s637,s88,s89,s90,s158,s797,s57,s787,s792,s724]) ).
cnf(s799,plain,
~ spl0_19,
inference(rat,[],[s242,s288,s70,s118,s119,s733,s703,s240,s88,s89,s90,s44,s714,s244,s616,s63,s110,s111,s798,s787,s724]) ).
cnf(s800,plain,
( spl0_42
| ~ spl0_10 ),
inference(rat,[],[s3,s794,s501,s793,s41,s726,s724,s792]) ).
cnf(s801,plain,
~ spl0_10,
inference(rat,[],[s703,s240,s88,s89,s90,s44,s733,s714,s244,s233,s755,s14,s731,s63,s110,s111,s800,s726,s787,s724]) ).
cnf(s802,plain,
spl0_31,
inference(rat,[],[s17,s799,s724,s801]) ).
cnf(s803,plain,
spl0_121,
inference(rat,[],[s114,s802]) ).
cnf(s805,plain,
~ spl0_72,
inference(rat,[],[s66,s802]) ).
cnf(s807,plain,
spl0_42,
inference(rat,[],[s603,s324,s76,s77,s127,s4,s8,s356,s270,s681,s79,s130,s131,s49,s738,s755,s737,s2,s5,s688,s277,s32,s298,s773,s41,s57,s724,s801,s799,s803,s805,s792]) ).
cnf(s811,plain,
~ spl0_25,
inference(rat,[],[s731,s807]) ).
cnf(s812,plain,
spl0_24,
inference(rat,[],[s12,s791,s724,s811]) ).
cnf(s813,plain,
spl0_128,
inference(rat,[],[s121,s812]) ).
cnf(s814,plain,
spl0_127,
inference(rat,[],[s120,s812]) ).
cnf(s815,plain,
~ spl0_77,
inference(rat,[],[s71,s812]) ).
cnf(s816,plain,
~ spl0_22,
inference(rat,[],[s291,s813,s814,s815]) ).
cnf(s817,plain,
spl0_21,
inference(rat,[],[s10,s799,s724,s816]) ).
cnf(s821,plain,
~ spl0_11,
inference(rat,[],[s743,s817]) ).
cnf(s822,plain,
spl0_12,
inference(rat,[],[s4,s801,s724,s821]) ).
cnf(s823,plain,
~ spl0_178,
inference(rat,[],[s255,s815,s813,s822]) ).
cnf(s824,plain,
~ spl0_18,
inference(rat,[],[s269,s814,s813,s823]) ).
cnf(s827,plain,
spl0_26,
inference(rat,[],[s13,s811,s724,s824]) ).
cnf(s831,plain,
spl0_124,
inference(rat,[],[s117,s827]) ).
cnf(s832,plain,
spl0_123,
inference(rat,[],[s116,s827]) ).
cnf(s833,plain,
~ spl0_75,
inference(rat,[],[s69,s827]) ).
cnf(s836,plain,
$false,
inference(rat,[],[s217,s831,s822,s832,s833]) ).
fof(f2210,plain,
$false,
inference(avatar_sat_refutation,[],[s836]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN468-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n013.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 16:09:21 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.95 % (1301095)Input is clausal, will run a generic CNF schedule.
% 0.62/0.95 % (1301106)dis-21_1_sil=8000:lcm=predicate:random_seed=964568295: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)
% 0.62/0.95 % (1301106)First to succeed.
% 0.62/0.95 % (1301106)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1301095"
% 0.62/0.95 % (1301101)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3788645836:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.62/0.95 % (1301100)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=2344033445:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.62/0.95 % (1301105)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=683414640:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.62/0.95 % (1301103)lrs+10_1_sil=8000:sp=occurrence:random_seed=937837292:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.62/0.95 % (1301104)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1671110933:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.62/0.95 % (1301102)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4014757561:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.62/0.95 % (1301103)Also succeeded, but the first one will report.
% 0.62/0.95 % (1301104)Also succeeded, but the first one will report.
% 0.62/0.95 % (1301105)Also succeeded, but the first one will report.
% 0.62/0.95 % (1301106)Refutation found. Thanks to Tanya!
% 0.62/0.95 % SZS status Unsatisfiable for theBenchmark
% 0.62/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.05 % (1301106)------------------------------
% 2.72/1.05 % (1301106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.05 % (1301106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.05 % (1301106)CaDiCaL version: 2.1.3
% 2.72/1.05 % (1301106)Termination reason: Refutation
% 2.72/1.05 % (1301106)Time elapsed: 0.019 s
% 2.72/1.05 % (1301106)Peak memory usage: 90 MB
% 2.72/1.05 % (1301106)Instructions burned: 52 (million)
% 2.72/1.05 % (1301106)------------------------------
% 2.72/1.05 % (1301106)------------------------------
% 2.72/1.05 % (1301095)Success in time 0.31 s
% 2.72/1.05 % Vampire exiting
%------------------------------------------------------------------------------