%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN455-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:52:26 PM UTC 2026
% Result : Unsatisfiable 0.62s 0.94s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 231
% Syntax : Number of formulae : 873 ( 22 unt; 122 def)
% Number of atoms : 2851 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3574 (1596 ~;1856 |; 0 &)
% ( 122 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 153 ( 152 usr; 149 prp; 0-1 aty)
% Number of functors : 25 ( 25 usr; 25 con; 0-0 aty)
% Number of variables : 131 ( 0 sgn 131 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
( ~ hskp26
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f10,negated_conjecture,
( ~ hskp21
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f26,negated_conjecture,
( ~ hskp5
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f32,negated_conjecture,
( hskp26
| hskp5
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
( hskp20
| hskp14
| hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
( hskp12
| hskp13
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f41,negated_conjecture,
( ~ hskp28
| c0_1(a916) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( ~ hskp28
| c1_1(a916) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( ~ hskp28
| c3_1(a916) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( ~ hskp27
| c1_1(a900) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( ~ hskp27
| c2_1(a900) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( ~ hskp27
| c3_1(a900) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( ~ hskp26
| c0_1(a979) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( ~ hskp26
| c1_1(a979) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( ~ hskp25
| c0_1(a960) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( ~ hskp25
| c3_1(a960) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f52,negated_conjecture,
( ~ hskp23
| c3_1(a954) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( ~ hskp22
| c2_1(a949) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( ~ hskp22
| c3_1(a949) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( ~ hskp20
| c0_1(a939) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f59,negated_conjecture,
( ~ hskp16
| c1_1(a926) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( ~ hskp16
| c2_1(a926) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( ~ hskp15
| c2_1(a924) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( ~ hskp14
| c3_1(a923) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( ~ hskp13
| c2_1(a921) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( ~ hskp12
| c1_1(a917) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( ~ hskp12
| c3_1(a917) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( ~ hskp11
| c0_1(a914) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( ~ hskp11
| c3_1(a914) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( ~ hskp10
| c1_1(a912) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( ~ hskp10
| c2_1(a912) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( ~ hskp9
| c2_1(a910) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f72,negated_conjecture,
( ~ hskp7
| c1_1(a908) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f74,negated_conjecture,
( ~ hskp6
| c1_1(a907) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( ~ hskp5
| c0_1(a906) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( ~ hskp5
| c2_1(a906) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp4
| c3_1(a905) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f79,negated_conjecture,
( ~ hskp2
| c0_1(a903) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp1
| c0_1(a902) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( ~ hskp1
| c2_1(a902) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( ~ c3_1(a979)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f87,negated_conjecture,
( ~ c0_1(a954)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f89,negated_conjecture,
( ~ c0_1(a946)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( ~ c2_1(a946)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( ~ c3_1(a946)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( ~ c1_1(a939)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ c3_1(a939)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f97,negated_conjecture,
( ~ c1_1(a936)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ c2_1(a936)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ c3_1(a936)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ c3_1(a926)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ c0_1(a924)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ c1_1(a924)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ c0_1(a923)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ c1_1(a923)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ c0_1(a921)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ c3_1(a921)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ c2_1(a917)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ c2_1(a914)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ c0_1(a912)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ c1_1(a910)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ c3_1(a910)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f114,negated_conjecture,
( ~ c2_1(a908)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ c3_1(a908)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ c2_1(a907)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ c3_1(a906)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ c0_1(a905)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ c2_1(a905)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ c1_1(a904)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ c2_1(a904)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ c2_1(a903)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ c3_1(a903)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f125,negated_conjecture,
( ~ c0_1(a901)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ c1_1(a901)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ c3_1(a901)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| hskp1
| hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| c3_1(X0)
| hskp27
| hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f133,negated_conjecture,
! [X0] :
( ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| hskp6
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f135,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp28
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
fof(f136,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp2
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f137,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| hskp12
| hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f141,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f142,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp6
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f145,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp3
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
fof(f146,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp7
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f147,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp28
| hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f148,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp7
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f152,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp25
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
fof(f153,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp10
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f154,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp27
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
fof(f157,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp23
| hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f158,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp11
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f159,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f163,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c2_1(X0)
| c2_1(X1)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f164,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c0_1(X0)
| c0_1(X1)
| c3_1(X1)
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X0)
| c2_1(X1)
| c3_1(X1)
| hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c3_1(X0)
| c2_1(X1)
| c3_1(X1)
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f171,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f176,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f177,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f179,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c0_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f182,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X0)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f183,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| c2_1(X0)
| c1_1(X1)
| c3_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f184,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X2)
| c3_1(X1)
| c2_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
fof(f186,definition,
( spl0_1
<=> ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f187,plain,
( ! [X2] :
( c3_1(X2)
| ~ c1_1(X2)
| c2_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f189,definition,
( spl0_2
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f190,plain,
( ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f192,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f195,definition,
( spl0_4
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f196,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f197,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f184,f195,f192,f189,f186]) ).
fof(f199,definition,
( spl0_5
<=> ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f200,plain,
( ! [X2] :
( ~ c2_1(X2)
| c0_1(X2)
| ~ c1_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f202,definition,
( spl0_6
<=> ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f203,plain,
( ! [X1] :
( c3_1(X1)
| ~ c2_1(X1)
| c1_1(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f205,definition,
( spl0_7
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f206,plain,
( ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f207,plain,
( spl0_5
| spl0_6
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f183,f205,f192,f202,f199]) ).
fof(f209,definition,
( spl0_8
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f210,plain,
( ! [X2] :
( c2_1(X2)
| c0_1(X2)
| c1_1(X2) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,definition,
( spl0_9
<=> ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f213,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f214,plain,
( spl0_8
| spl0_2
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f182,f212,f192,f189,f209]) ).
fof(f216,definition,
( spl0_10
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f217,plain,
( ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c0_1(X1) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f218,plain,
( spl0_8
| spl0_10
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f181,f195,f192,f216,f209]) ).
fof(f220,definition,
( spl0_11
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f221,plain,
( ! [X2] :
( c3_1(X2)
| c0_1(X2)
| c1_1(X2) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f223,definition,
( spl0_12
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f224,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| c2_1(X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f225,plain,
( spl0_11
| spl0_5
| ~ spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f180,f223,f192,f199,f220]) ).
fof(f227,definition,
( spl0_13
<=> ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f228,plain,
( ! [X1] :
( c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f230,definition,
( spl0_14
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f231,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| c1_1(X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f232,plain,
( spl0_8
| spl0_13
| ~ spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f179,f230,f192,f227,f209]) ).
fof(f234,definition,
( spl0_15
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f237,definition,
( spl0_16
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f238,plain,
( ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f241,definition,
( spl0_17
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f244,definition,
( spl0_18
<=> ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f245,plain,
( ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f247,definition,
( spl0_19
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f248,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f249,plain,
( spl0_17
| spl0_18
| ~ spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f177,f247,f192,f244,f241]) ).
fof(f251,definition,
( spl0_20
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f252,plain,
( ! [X1] :
( c0_1(X1)
| c3_1(X1)
| c2_1(X1) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( spl0_11
| spl0_20
| ~ spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f176,f223,f192,f251,f220]) ).
fof(f255,definition,
( spl0_21
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f261,definition,
( spl0_23
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f262,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f265,definition,
( spl0_24
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f267,plain,
( spl0_24
| spl0_1
| ~ spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f174,f247,f192,f186,f265]) ).
fof(f269,definition,
( spl0_25
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f272,definition,
( spl0_26
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f273,plain,
( ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f279,definition,
( spl0_28
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f282,definition,
( spl0_29
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f283,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f286,definition,
( spl0_30
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f287,plain,
( ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f288,plain,
( spl0_17
| spl0_30
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f171,f195,f192,f286,f241]) ).
fof(f290,definition,
( spl0_31
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f293,definition,
( spl0_32
<=> ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f294,plain,
( ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| c0_1(X1) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f295,plain,
( spl0_31
| spl0_32
| ~ spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f170,f247,f192,f293,f290]) ).
fof(f296,plain,
( spl0_25
| spl0_12
| ~ spl0_3
| spl0_23 ),
inference(avatar_split_clause,[],[f169,f261,f192,f223,f269]) ).
fof(f298,definition,
( spl0_33
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f300,plain,
( spl0_33
| spl0_12
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f168,f205,f192,f223,f298]) ).
fof(f302,definition,
( spl0_34
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f306,definition,
( spl0_35
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f308,plain,
( spl0_35
| spl0_26
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f166,f186,f192,f272,f306]) ).
fof(f313,plain,
( spl0_31
| spl0_13
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f164,f244,f192,f227,f290]) ).
fof(f314,plain,
( spl0_1
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f163,f205,f192,f186]) ).
fof(f324,plain,
( spl0_28
| spl0_20
| ~ spl0_3
| spl0_30 ),
inference(avatar_split_clause,[],[f159,f286,f192,f251,f279]) ).
fof(f326,definition,
( spl0_39
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f329,definition,
( spl0_40
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f331,plain,
( spl0_39
| spl0_40
| ~ spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f158,f247,f192,f329,f326]) ).
fof(f333,definition,
( spl0_41
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f335,plain,
( spl0_17
| spl0_41
| ~ spl0_3
| spl0_29 ),
inference(avatar_split_clause,[],[f157,f282,f192,f333,f241]) ).
fof(f337,definition,
( spl0_42
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f341,definition,
( spl0_43
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f348,definition,
( spl0_45
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f350,plain,
( spl0_45
| spl0_35
| ~ spl0_3
| spl0_23 ),
inference(avatar_split_clause,[],[f154,f261,f192,f306,f348]) ).
fof(f352,definition,
( spl0_46
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f354,plain,
( spl0_34
| spl0_46
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f153,f205,f192,f352,f302]) ).
fof(f355,plain,
( spl0_34
| spl0_21
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f152,f205,f192,f255,f302]) ).
fof(f357,definition,
( spl0_47
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f365,plain,
( spl0_45
| spl0_47
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f148,f244,f192,f357,f348]) ).
fof(f367,definition,
( spl0_49
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f369,plain,
( spl0_24
| spl0_49
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f147,f244,f192,f367,f265]) ).
fof(f371,definition,
( spl0_50
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f373,plain,
( spl0_50
| spl0_47
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f146,f199,f192,f357,f371]) ).
fof(f375,definition,
( spl0_51
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f377,plain,
( spl0_45
| spl0_51
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f145,f199,f192,f375,f348]) ).
fof(f381,definition,
( spl0_52
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f383,plain,
( spl0_50
| spl0_52
| ~ spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f142,f223,f192,f381,f371]) ).
fof(f384,plain,
( spl0_49
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f141,f237,f192,f367]) ).
fof(f397,plain,
( spl0_43
| spl0_39
| ~ spl0_3
| spl0_30 ),
inference(avatar_split_clause,[],[f137,f286,f192,f326,f341]) ).
fof(f399,definition,
( spl0_56
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f401,plain,
( spl0_25
| spl0_56
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f136,f227,f192,f399,f269]) ).
fof(f402,plain,
( spl0_39
| spl0_49
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f135,f227,f192,f367,f326]) ).
fof(f407,plain,
( spl0_47
| spl0_52
| ~ spl0_3
| spl0_32 ),
inference(avatar_split_clause,[],[f133,f293,f192,f381,f357]) ).
fof(f409,definition,
( spl0_58
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f420,plain,
( spl0_46
| spl0_35
| spl0_20
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f129,f192,f251,f306,f352]) ).
fof(f421,plain,
( spl0_56
| spl0_15
| spl0_8
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f128,f192,f209,f234,f399]) ).
fof(f424,definition,
( spl0_61
<=> c3_1(a901) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f425,plain,
( ~ c3_1(a901)
| spl0_61 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f426,plain,
( ~ spl0_25
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f127,f424,f269]) ).
fof(f428,definition,
( spl0_62
<=> c1_1(a901) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f429,plain,
( ~ c1_1(a901)
| spl0_62 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f430,plain,
( ~ spl0_25
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f126,f428,f269]) ).
fof(f432,definition,
( spl0_63
<=> c0_1(a901) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f433,plain,
( ~ c0_1(a901)
| spl0_63 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f434,plain,
( ~ spl0_25
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f125,f432,f269]) ).
fof(f442,definition,
( spl0_65
<=> c3_1(a903) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f443,plain,
( ~ c3_1(a903)
| spl0_65 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f444,plain,
( ~ spl0_56
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f123,f442,f399]) ).
fof(f446,definition,
( spl0_66
<=> c2_1(a903) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f447,plain,
( ~ c2_1(a903)
| spl0_66 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f448,plain,
( ~ spl0_56
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f122,f446,f399]) ).
fof(f451,definition,
( spl0_67
<=> c2_1(a904) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f452,plain,
( ~ c2_1(a904)
| spl0_67 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f453,plain,
( ~ spl0_51
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f121,f451,f375]) ).
fof(f455,definition,
( spl0_68
<=> c1_1(a904) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f456,plain,
( ~ c1_1(a904)
| spl0_68 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f457,plain,
( ~ spl0_51
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f120,f455,f375]) ).
fof(f460,definition,
( spl0_69
<=> c2_1(a905) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f461,plain,
( ~ c2_1(a905)
| spl0_69 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f462,plain,
( ~ spl0_58
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f119,f460,f409]) ).
fof(f464,definition,
( spl0_70
<=> c0_1(a905) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f465,plain,
( ~ c0_1(a905)
| spl0_70 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f466,plain,
( ~ spl0_58
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f118,f464,f409]) ).
fof(f469,definition,
( spl0_71
<=> c3_1(a906) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f470,plain,
( ~ c3_1(a906)
| spl0_71 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f471,plain,
( ~ spl0_31
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f117,f469,f290]) ).
fof(f474,definition,
( spl0_72
<=> c2_1(a907) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f475,plain,
( ~ c2_1(a907)
| spl0_72 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f476,plain,
( ~ spl0_52
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f116,f474,f381]) ).
fof(f479,definition,
( spl0_73
<=> c3_1(a908) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f480,plain,
( ~ c3_1(a908)
| spl0_73 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f481,plain,
( ~ spl0_47
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f115,f479,f357]) ).
fof(f483,definition,
( spl0_74
<=> c2_1(a908) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f485,plain,
( ~ spl0_47
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f114,f483,f357]) ).
fof(f497,definition,
( spl0_77
<=> c3_1(a910) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f498,plain,
( ~ c3_1(a910)
| spl0_77 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f499,plain,
( ~ spl0_28
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f111,f497,f279]) ).
fof(f501,definition,
( spl0_78
<=> c1_1(a910) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f502,plain,
( ~ c1_1(a910)
| spl0_78 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f503,plain,
( ~ spl0_28
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f110,f501,f279]) ).
fof(f506,definition,
( spl0_79
<=> c0_1(a912) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f508,plain,
( ~ spl0_46
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f109,f506,f352]) ).
fof(f511,definition,
( spl0_80
<=> c2_1(a914) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f512,plain,
( ~ c2_1(a914)
| spl0_80 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f513,plain,
( ~ spl0_40
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f108,f511,f329]) ).
fof(f516,definition,
( spl0_81
<=> c2_1(a917) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f517,plain,
( ~ c2_1(a917)
| spl0_81 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f518,plain,
( ~ spl0_39
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f107,f516,f326]) ).
fof(f521,definition,
( spl0_82
<=> c3_1(a921) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f522,plain,
( ~ c3_1(a921)
| spl0_82 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f523,plain,
( ~ spl0_45
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f106,f521,f348]) ).
fof(f525,definition,
( spl0_83
<=> c0_1(a921) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f526,plain,
( ~ c0_1(a921)
| spl0_83 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f527,plain,
( ~ spl0_45
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f105,f525,f348]) ).
fof(f530,definition,
( spl0_84
<=> c1_1(a923) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f531,plain,
( ~ c1_1(a923)
| spl0_84 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f532,plain,
( ~ spl0_50
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f104,f530,f371]) ).
fof(f534,definition,
( spl0_85
<=> c0_1(a923) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f535,plain,
( ~ c0_1(a923)
| spl0_85 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f536,plain,
( ~ spl0_50
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f103,f534,f371]) ).
fof(f539,definition,
( spl0_86
<=> c1_1(a924) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f540,plain,
( ~ c1_1(a924)
| spl0_86 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f541,plain,
( ~ spl0_17
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f102,f539,f241]) ).
fof(f543,definition,
( spl0_87
<=> c0_1(a924) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f544,plain,
( ~ c0_1(a924)
| spl0_87 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f545,plain,
( ~ spl0_17
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f101,f543,f241]) ).
fof(f548,definition,
( spl0_88
<=> c3_1(a926) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f549,plain,
( ~ c3_1(a926)
| spl0_88 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f550,plain,
( ~ spl0_24
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f100,f548,f265]) ).
fof(f553,definition,
( spl0_89
<=> c3_1(a936) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f554,plain,
( ~ c3_1(a936)
| spl0_89 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f555,plain,
( ~ spl0_43
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f99,f553,f341]) ).
fof(f557,definition,
( spl0_90
<=> c2_1(a936) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f558,plain,
( ~ c2_1(a936)
| spl0_90 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f559,plain,
( ~ spl0_43
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f98,f557,f341]) ).
fof(f561,definition,
( spl0_91
<=> c1_1(a936) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f562,plain,
( ~ c1_1(a936)
| spl0_91 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f563,plain,
( ~ spl0_43
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f97,f561,f341]) ).
fof(f580,definition,
( spl0_95
<=> c3_1(a939) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f581,plain,
( ~ c3_1(a939)
| spl0_95 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f582,plain,
( ~ spl0_42
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f93,f580,f337]) ).
fof(f584,definition,
( spl0_96
<=> c1_1(a939) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f585,plain,
( ~ c1_1(a939)
| spl0_96 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f586,plain,
( ~ spl0_42
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f92,f584,f337]) ).
fof(f589,definition,
( spl0_97
<=> c3_1(a946) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f590,plain,
( ~ c3_1(a946)
| spl0_97 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f591,plain,
( ~ spl0_34
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f91,f589,f302]) ).
fof(f593,definition,
( spl0_98
<=> c2_1(a946) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f594,plain,
( ~ c2_1(a946)
| spl0_98 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f595,plain,
( ~ spl0_34
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f90,f593,f302]) ).
fof(f597,definition,
( spl0_99
<=> c0_1(a946) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f598,plain,
( ~ c0_1(a946)
| spl0_99 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f599,plain,
( ~ spl0_34
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f89,f597,f302]) ).
fof(f607,definition,
( spl0_101
<=> c0_1(a954) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f609,plain,
( ~ spl0_41
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f87,f607,f333]) ).
fof(f629,definition,
( spl0_106
<=> hskp26 ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f632,definition,
( spl0_107
<=> c3_1(a979) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f633,plain,
( ~ c3_1(a979)
| spl0_107 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f634,plain,
( ~ spl0_106
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f82,f632,f629]) ).
fof(f636,definition,
( spl0_108
<=> c2_1(a902) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f637,plain,
( c2_1(a902)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f638,plain,
( spl0_108
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f81,f234,f636]) ).
fof(f640,definition,
( spl0_109
<=> c0_1(a902) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f641,plain,
( c0_1(a902)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f642,plain,
( spl0_109
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f80,f234,f640]) ).
fof(f644,definition,
( spl0_110
<=> c0_1(a903) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f645,plain,
( c0_1(a903)
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f646,plain,
( spl0_110
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f79,f399,f644]) ).
fof(f652,definition,
( spl0_112
<=> c3_1(a905) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f653,plain,
( c3_1(a905)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f654,plain,
( spl0_112
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f77,f409,f652]) ).
fof(f656,definition,
( spl0_113
<=> c2_1(a906) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f657,plain,
( c2_1(a906)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f658,plain,
( spl0_113
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f76,f290,f656]) ).
fof(f660,definition,
( spl0_114
<=> c0_1(a906) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f661,plain,
( c0_1(a906)
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f662,plain,
( spl0_114
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f75,f290,f660]) ).
fof(f664,definition,
( spl0_115
<=> c1_1(a907) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f665,plain,
( c1_1(a907)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f666,plain,
( spl0_115
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f74,f381,f664]) ).
fof(f672,definition,
( spl0_117
<=> c1_1(a908) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f673,plain,
( c1_1(a908)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f674,plain,
( spl0_117
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f72,f357,f672]) ).
fof(f680,definition,
( spl0_119
<=> c2_1(a910) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f681,plain,
( c2_1(a910)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f682,plain,
( spl0_119
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f70,f279,f680]) ).
fof(f684,definition,
( spl0_120
<=> c2_1(a912) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f685,plain,
( c2_1(a912)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f686,plain,
( spl0_120
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f69,f352,f684]) ).
fof(f688,definition,
( spl0_121
<=> c1_1(a912) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f689,plain,
( c1_1(a912)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f690,plain,
( spl0_121
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f68,f352,f688]) ).
fof(f692,definition,
( spl0_122
<=> c3_1(a914) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f693,plain,
( c3_1(a914)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f694,plain,
( spl0_122
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f67,f329,f692]) ).
fof(f696,definition,
( spl0_123
<=> c0_1(a914) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f697,plain,
( c0_1(a914)
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f698,plain,
( spl0_123
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f66,f329,f696]) ).
fof(f700,definition,
( spl0_124
<=> c3_1(a917) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f701,plain,
( c3_1(a917)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f702,plain,
( spl0_124
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f65,f326,f700]) ).
fof(f704,definition,
( spl0_125
<=> c1_1(a917) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f706,plain,
( spl0_125
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f64,f326,f704]) ).
fof(f708,definition,
( spl0_126
<=> c2_1(a921) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f709,plain,
( c2_1(a921)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f710,plain,
( spl0_126
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f63,f348,f708]) ).
fof(f712,definition,
( spl0_127
<=> c3_1(a923) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f713,plain,
( c3_1(a923)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f714,plain,
( spl0_127
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f62,f371,f712]) ).
fof(f716,definition,
( spl0_128
<=> c2_1(a924) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f717,plain,
( c2_1(a924)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f718,plain,
( spl0_128
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f61,f241,f716]) ).
fof(f720,definition,
( spl0_129
<=> c2_1(a926) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f721,plain,
( c2_1(a926)
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f722,plain,
( spl0_129
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f60,f265,f720]) ).
fof(f724,definition,
( spl0_130
<=> c1_1(a926) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f725,plain,
( c1_1(a926)
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f726,plain,
( spl0_130
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f59,f265,f724]) ).
fof(f740,definition,
( spl0_134
<=> c0_1(a939) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f741,plain,
( c0_1(a939)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f742,plain,
( spl0_134
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f55,f337,f740]) ).
fof(f744,definition,
( spl0_135
<=> c3_1(a949) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f745,plain,
( c3_1(a949)
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f746,plain,
( spl0_135
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f54,f298,f744]) ).
fof(f748,definition,
( spl0_136
<=> c2_1(a949) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f749,plain,
( c2_1(a949)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f750,plain,
( spl0_136
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f53,f298,f748]) ).
fof(f752,definition,
( spl0_137
<=> c3_1(a954) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f753,plain,
( c3_1(a954)
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f754,plain,
( spl0_137
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f52,f333,f752]) ).
fof(f760,definition,
( spl0_139
<=> c3_1(a960) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f761,plain,
( c3_1(a960)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f762,plain,
( spl0_139
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f50,f255,f760]) ).
fof(f764,definition,
( spl0_140
<=> c0_1(a960) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f765,plain,
( c0_1(a960)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f766,plain,
( spl0_140
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f49,f255,f764]) ).
fof(f768,definition,
( spl0_141
<=> c1_1(a979) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f770,plain,
( spl0_141
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f48,f629,f768]) ).
fof(f772,definition,
( spl0_142
<=> c0_1(a979) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f773,plain,
( c0_1(a979)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f774,plain,
( spl0_142
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f47,f629,f772]) ).
fof(f776,definition,
( spl0_143
<=> c3_1(a900) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f777,plain,
( c3_1(a900)
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f779,plain,
( spl0_143
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f46,f306,f776]) ).
fof(f781,definition,
( spl0_144
<=> c2_1(a900) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f782,plain,
( c2_1(a900)
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f783,plain,
( spl0_144
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f45,f306,f781]) ).
fof(f785,definition,
( spl0_145
<=> c1_1(a900) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f787,plain,
( spl0_145
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f44,f306,f785]) ).
fof(f789,definition,
( spl0_146
<=> c3_1(a916) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f790,plain,
( c3_1(a916)
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f792,plain,
( spl0_146
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f43,f367,f789]) ).
fof(f794,definition,
( spl0_147
<=> c1_1(a916) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f795,plain,
( c1_1(a916)
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f796,plain,
( spl0_147
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f42,f367,f794]) ).
fof(f798,definition,
( spl0_148
<=> c0_1(a916) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f799,plain,
( c0_1(a916)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f800,plain,
( spl0_148
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f41,f367,f798]) ).
fof(f827,plain,
( spl0_34
| spl0_45
| spl0_39 ),
inference(avatar_split_clause,[],[f34,f326,f348,f302]) ).
fof(f828,plain,
( spl0_58
| spl0_50
| spl0_42 ),
inference(avatar_split_clause,[],[f33,f337,f371,f409]) ).
fof(f830,plain,
( spl0_34
| spl0_31
| spl0_106 ),
inference(avatar_split_clause,[],[f32,f629,f290,f302]) ).
fof(f837,plain,
( spl0_3
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f26,f290,f192]) ).
fof(f853,plain,
( spl0_3
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f10,f302,f192]) ).
fof(f858,plain,
( spl0_3
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f5,f629,f192]) ).
fof(f871,plain,
( c0_1(a946)
| c1_1(a946)
| ~ spl0_8
| spl0_98 ),
inference(resolution,[],[f210,f594]) ).
fof(f874,plain,
( c1_1(a946)
| ~ spl0_8
| spl0_98
| spl0_99 ),
inference(forward_subsumption_resolution,[],[f871,f598]) ).
fof(f880,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f224,f190]) ).
fof(f888,plain,
( c2_1(a905)
| c0_1(a905)
| ~ spl0_10
| ~ spl0_112 ),
inference(resolution,[],[f217,f653]) ).
fof(f892,plain,
( c0_1(a905)
| ~ spl0_10
| spl0_69
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f888,f461]) ).
fof(f893,plain,
( $false
| ~ spl0_10
| spl0_69
| spl0_70
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f892,f465]) ).
fof(f894,plain,
( ~ spl0_10
| spl0_69
| spl0_70
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f893]) ).
fof(f918,plain,
( ~ c0_1(a939)
| ~ spl0_2
| ~ spl0_12
| spl0_95 ),
inference(resolution,[],[f581,f880]) ).
fof(f929,plain,
( ! [X1] :
( c3_1(X1)
| ~ c2_1(X1) )
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f228,f190]) ).
fof(f949,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| spl0_95
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f918,f741]) ).
fof(f950,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_95
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f949]) ).
fof(f959,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f248,f206]) ).
fof(f976,plain,
( c0_1(a912)
| ~ c1_1(a912)
| ~ spl0_5
| ~ spl0_120 ),
inference(resolution,[],[f685,f200]) ).
fof(f982,plain,
( ~ c2_1(a926)
| ~ spl0_2
| ~ spl0_13
| spl0_88 ),
inference(resolution,[],[f549,f929]) ).
fof(f983,plain,
( ~ c1_1(a926)
| ~ c2_1(a926)
| ~ spl0_9
| spl0_88 ),
inference(resolution,[],[f549,f213]) ).
fof(f984,plain,
( ~ c0_1(a926)
| ~ c2_1(a926)
| ~ spl0_2
| spl0_88 ),
inference(resolution,[],[f549,f190]) ).
fof(f989,plain,
( ~ spl0_129
| ~ spl0_2
| ~ spl0_13
| spl0_88 ),
inference(avatar_split_clause,[],[f982,f548,f227,f189,f720]) ).
fof(f991,plain,
( ! [X2] :
( c2_1(X2)
| ~ c1_1(X2) )
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f187,f206]) ).
fof(f993,plain,
( c2_1(a917)
| ~ c1_1(a917)
| ~ spl0_7
| ~ spl0_124 ),
inference(resolution,[],[f701,f206]) ).
fof(f994,plain,
( ~ c1_1(a917)
| ~ spl0_7
| spl0_81
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f993,f517]) ).
fof(f997,plain,
( c0_1(a926)
| ~ c1_1(a926)
| ~ spl0_5
| ~ spl0_129 ),
inference(resolution,[],[f721,f200]) ).
fof(f1008,plain,
( ! [X0] :
( ~ c1_1(X0)
| c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f991,f200]) ).
fof(f1011,plain,
( ~ c1_1(a907)
| ~ spl0_1
| ~ spl0_7
| spl0_72 ),
inference(resolution,[],[f991,f475]) ).
fof(f1014,plain,
( ! [X0] :
( ~ c1_1(X0)
| c0_1(X0) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f1008]) ).
fof(f1019,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_72
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[],[f1011,f665]) ).
fof(f1020,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_72
| ~ spl0_115 ),
inference(avatar_contradiction_clause,[],[f1019]) ).
fof(f1034,plain,
( ~ c1_1(a916)
| ~ spl0_7
| ~ spl0_19
| ~ spl0_146 ),
inference(resolution,[],[f959,f790]) ).
fof(f1035,plain,
( ~ c1_1(a900)
| ~ spl0_7
| ~ spl0_19
| ~ spl0_143 ),
inference(resolution,[],[f959,f777]) ).
fof(f1036,plain,
( ~ c1_1(a917)
| ~ spl0_7
| ~ spl0_19
| ~ spl0_124 ),
inference(resolution,[],[f959,f701]) ).
fof(f1045,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_2
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f248,f929]) ).
fof(f1058,plain,
( ~ c1_1(a946)
| c2_1(a946)
| ~ spl0_1
| spl0_97 ),
inference(resolution,[],[f187,f590]) ).
fof(f1060,plain,
( c2_1(a946)
| ~ spl0_1
| ~ spl0_8
| spl0_97
| spl0_98
| spl0_99 ),
inference(forward_subsumption_resolution,[],[f1058,f874]) ).
fof(f1061,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| spl0_97
| spl0_98
| spl0_99 ),
inference(forward_subsumption_resolution,[],[f1060,f594]) ).
fof(f1062,plain,
( ~ spl0_1
| ~ spl0_8
| spl0_97
| spl0_98
| spl0_99 ),
inference(avatar_contradiction_clause,[],[f1061]) ).
fof(f1079,definition,
( spl0_159
<=> c1_1(a906) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f1082,plain,
( ~ c1_1(a908)
| c2_1(a908)
| ~ spl0_1
| spl0_73 ),
inference(resolution,[],[f480,f187]) ).
fof(f1138,plain,
( ~ c0_1(a916)
| ~ c1_1(a916)
| ~ spl0_4
| ~ spl0_146 ),
inference(resolution,[],[f196,f790]) ).
fof(f1143,plain,
( ~ c1_1(a916)
| ~ spl0_4
| ~ spl0_146
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f1138,f799]) ).
fof(f1146,plain,
( $false
| ~ spl0_4
| ~ spl0_146
| ~ spl0_147
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f1143,f795]) ).
fof(f1147,plain,
( ~ spl0_4
| ~ spl0_146
| ~ spl0_147
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f1146]) ).
fof(f1155,definition,
( spl0_161
<=> c1_1(a914) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f1165,plain,
( c2_1(a908)
| ~ spl0_1
| spl0_73
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f1082,f673]) ).
fof(f1172,plain,
( spl0_74
| ~ spl0_1
| spl0_73
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1165,f672,f479,f186,f483]) ).
fof(f1190,plain,
( ~ c1_1(a914)
| ~ spl0_1
| ~ spl0_7
| spl0_80 ),
inference(resolution,[],[f991,f512]) ).
fof(f1194,plain,
( ~ spl0_161
| ~ spl0_1
| ~ spl0_7
| spl0_80 ),
inference(avatar_split_clause,[],[f1190,f511,f205,f186,f1155]) ).
fof(f1246,plain,
( ~ c0_1(a936)
| c2_1(a936)
| ~ spl0_12
| spl0_89 ),
inference(resolution,[],[f224,f554]) ).
fof(f1247,plain,
( ~ c0_1(a936)
| ~ spl0_12
| spl0_89
| spl0_90 ),
inference(forward_subsumption_resolution,[],[f1246,f558]) ).
fof(f1329,plain,
( c0_1(a912)
| ~ spl0_5
| ~ spl0_120
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f976,f689]) ).
fof(f1330,plain,
( c0_1(a926)
| ~ spl0_5
| ~ spl0_129
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f997,f725]) ).
fof(f1346,plain,
( c0_1(a936)
| c1_1(a936)
| ~ spl0_8
| spl0_90 ),
inference(resolution,[],[f210,f558]) ).
fof(f1348,plain,
( c1_1(a936)
| ~ spl0_8
| ~ spl0_12
| spl0_89
| spl0_90 ),
inference(forward_subsumption_resolution,[],[f1346,f1247]) ).
fof(f1353,plain,
( $false
| ~ spl0_8
| ~ spl0_12
| spl0_89
| spl0_90
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f1348,f562]) ).
fof(f1354,plain,
( ~ spl0_8
| ~ spl0_12
| spl0_89
| spl0_90
| spl0_91 ),
inference(avatar_contradiction_clause,[],[f1353]) ).
fof(f1360,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f213,f187]) ).
fof(f1363,plain,
( ~ c1_1(a906)
| ~ spl0_1
| ~ spl0_9
| spl0_71 ),
inference(resolution,[],[f1360,f470]) ).
fof(f1389,plain,
( ! [X1] :
( c2_1(X1)
| c0_1(X1) )
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f252,f217]) ).
fof(f1434,plain,
( ~ c0_1(a939)
| c1_1(a939)
| ~ spl0_14
| spl0_95 ),
inference(resolution,[],[f231,f581]) ).
fof(f1436,plain,
( ~ c0_1(a906)
| c1_1(a906)
| ~ spl0_14
| spl0_71 ),
inference(resolution,[],[f231,f470]) ).
fof(f1441,plain,
( c1_1(a906)
| ~ spl0_14
| spl0_71
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f1436,f661]) ).
fof(f1442,plain,
( c1_1(a939)
| ~ spl0_14
| spl0_95
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f1434,f741]) ).
fof(f1446,plain,
( $false
| ~ spl0_14
| spl0_95
| spl0_96
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f1442,f585]) ).
fof(f1447,plain,
( ~ spl0_14
| spl0_95
| spl0_96
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f1446]) ).
fof(f1464,plain,
( ~ c0_1(a906)
| ~ c1_1(a906)
| ~ spl0_23
| spl0_71 ),
inference(resolution,[],[f262,f470]) ).
fof(f1494,plain,
( ! [X1] :
( c2_1(X1)
| c1_1(X1) )
| ~ spl0_8
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f287,f210]) ).
fof(f1495,plain,
( ! [X1] : c2_1(X1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1494,f991]) ).
fof(f1498,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30
| spl0_80 ),
inference(resolution,[],[f1495,f512]) ).
fof(f1501,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30
| spl0_80 ),
inference(avatar_contradiction_clause,[],[f1498]) ).
fof(f1520,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f294,f1014]) ).
fof(f1529,plain,
( c0_1(a923)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_32
| ~ spl0_127 ),
inference(resolution,[],[f1520,f713]) ).
fof(f1532,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_32
| spl0_85
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f1529,f535]) ).
fof(f1533,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_32
| spl0_85
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f1532]) ).
fof(f1543,plain,
( ~ spl0_147
| ~ spl0_7
| ~ spl0_19
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1034,f789,f247,f205,f794]) ).
fof(f1544,plain,
( ~ spl0_145
| ~ spl0_7
| ~ spl0_19
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f1035,f776,f247,f205,f785]) ).
fof(f1547,definition,
( spl0_164
<=> c0_1(a900) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1567,plain,
( ~ c0_1(a979)
| ~ c1_1(a979)
| ~ spl0_23
| spl0_107 ),
inference(resolution,[],[f633,f262]) ).
fof(f1583,plain,
( ~ c2_1(a926)
| ~ spl0_2
| ~ spl0_5
| spl0_88
| ~ spl0_129
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f984,f1330]) ).
fof(f1584,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| spl0_88
| ~ spl0_129
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f1583,f721]) ).
fof(f1585,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_88
| ~ spl0_129
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f1584]) ).
fof(f1590,plain,
( ~ spl0_125
| ~ spl0_7
| ~ spl0_19
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1036,f700,f247,f205,f704]) ).
fof(f1596,definition,
( spl0_165
<=> c0_1(a910) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
fof(f1630,plain,
( ~ c1_1(a926)
| ~ spl0_2
| ~ spl0_13
| ~ spl0_19
| ~ spl0_129 ),
inference(resolution,[],[f1045,f721]) ).
fof(f1635,plain,
( $false
| ~ spl0_2
| ~ spl0_13
| ~ spl0_19
| ~ spl0_129
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f1630,f725]) ).
fof(f1636,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_19
| ~ spl0_129
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f1635]) ).
fof(f1642,plain,
( c1_1(a914)
| ~ spl0_8
| ~ spl0_30
| spl0_80 ),
inference(resolution,[],[f1494,f512]) ).
fof(f1644,plain,
( c1_1(a904)
| ~ spl0_8
| ~ spl0_30
| spl0_67 ),
inference(resolution,[],[f1494,f452]) ).
fof(f1649,plain,
( $false
| ~ spl0_8
| ~ spl0_30
| spl0_67
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f1644,f456]) ).
fof(f1650,plain,
( ~ spl0_8
| ~ spl0_30
| spl0_67
| spl0_68 ),
inference(avatar_contradiction_clause,[],[f1649]) ).
fof(f1658,plain,
( ~ c2_1(a910)
| c0_1(a910)
| ~ spl0_13
| spl0_77 ),
inference(resolution,[],[f228,f498]) ).
fof(f1666,plain,
( c0_1(a910)
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f1596]) ).
fof(f1667,plain,
( spl0_165
| ~ spl0_119
| ~ spl0_13
| spl0_77 ),
inference(avatar_split_clause,[],[f1658,f497,f227,f680,f1596]) ).
fof(f1674,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f238,f959]) ).
fof(f1705,plain,
( ! [X1] :
( ~ c2_1(X1)
| c0_1(X1) )
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f245,f228]) ).
fof(f1710,plain,
( c0_1(a900)
| ~ spl0_13
| ~ spl0_18
| ~ spl0_144 ),
inference(resolution,[],[f1705,f782]) ).
fof(f1714,plain,
( c0_1(a924)
| ~ spl0_13
| ~ spl0_18
| ~ spl0_128 ),
inference(resolution,[],[f1705,f717]) ).
fof(f1715,plain,
( c0_1(a921)
| ~ spl0_13
| ~ spl0_18
| ~ spl0_126 ),
inference(resolution,[],[f1705,f709]) ).
fof(f1716,plain,
( c0_1(a912)
| ~ spl0_13
| ~ spl0_18
| ~ spl0_120 ),
inference(resolution,[],[f1705,f685]) ).
fof(f1721,plain,
( $false
| ~ spl0_13
| ~ spl0_18
| spl0_83
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f1715,f526]) ).
fof(f1722,plain,
( ~ spl0_13
| ~ spl0_18
| spl0_83
| ~ spl0_126 ),
inference(avatar_contradiction_clause,[],[f1721]) ).
fof(f1723,plain,
( $false
| ~ spl0_13
| ~ spl0_18
| spl0_87
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f1714,f544]) ).
fof(f1724,plain,
( ~ spl0_13
| ~ spl0_18
| spl0_87
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f1723]) ).
fof(f1727,plain,
( spl0_164
| ~ spl0_13
| ~ spl0_18
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f1710,f781,f244,f227,f1547]) ).
fof(f1732,plain,
( spl0_79
| ~ spl0_13
| ~ spl0_18
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1716,f684,f244,f227,f506]) ).
fof(f1736,plain,
( ! [X1] :
( c3_1(X1)
| c0_1(X1) )
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f252,f228]) ).
fof(f1744,plain,
( c0_1(a946)
| ~ spl0_13
| ~ spl0_20
| spl0_97 ),
inference(resolution,[],[f1736,f590]) ).
fof(f1749,plain,
( $false
| ~ spl0_13
| ~ spl0_20
| spl0_97
| spl0_99 ),
inference(forward_subsumption_resolution,[],[f1744,f598]) ).
fof(f1750,plain,
( ~ spl0_13
| ~ spl0_20
| spl0_97
| spl0_99 ),
inference(avatar_contradiction_clause,[],[f1749]) ).
fof(f1755,plain,
( ~ spl0_141
| ~ spl0_142
| ~ spl0_23
| spl0_107 ),
inference(avatar_split_clause,[],[f1567,f632,f261,f772,f768]) ).
fof(f1764,definition,
( spl0_168
<=> c2_1(a901) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1765,plain,
( ~ c2_1(a901)
| spl0_168 ),
inference(avatar_component_clause,[],[f1764]) ).
fof(f1769,plain,
( ~ c2_1(a921)
| c0_1(a921)
| ~ spl0_13
| spl0_82 ),
inference(resolution,[],[f522,f228]) ).
fof(f1770,plain,
( c0_1(a921)
| ~ spl0_13
| spl0_82
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f1769,f709]) ).
fof(f1775,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f262,f1674]) ).
fof(f1778,plain,
( ~ c0_1(a926)
| ~ spl0_7
| ~ spl0_16
| ~ spl0_19
| ~ spl0_23
| ~ spl0_130 ),
inference(resolution,[],[f1775,f725]) ).
fof(f1786,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_19
| ~ spl0_23
| ~ spl0_129
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f1778,f1330]) ).
fof(f1787,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_19
| ~ spl0_23
| ~ spl0_129
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f1786]) ).
fof(f1792,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_13
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f262,f1736]) ).
fof(f1798,plain,
( ~ c1_1(a926)
| ~ spl0_13
| ~ spl0_20
| ~ spl0_23
| spl0_88 ),
inference(resolution,[],[f1792,f549]) ).
fof(f1807,plain,
( $false
| ~ spl0_13
| ~ spl0_20
| ~ spl0_23
| spl0_88
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f1798,f725]) ).
fof(f1808,plain,
( ~ spl0_13
| ~ spl0_20
| ~ spl0_23
| spl0_88
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f1807]) ).
fof(f1825,plain,
( ~ c2_1(a926)
| ~ spl0_9
| spl0_88
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f983,f725]) ).
fof(f1846,plain,
( ~ spl0_129
| ~ spl0_9
| spl0_88
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1825,f724,f548,f212,f720]) ).
fof(f1966,plain,
( c1_1(a910)
| ~ c0_1(a910)
| ~ spl0_26
| ~ spl0_119 ),
inference(resolution,[],[f273,f681]) ).
fof(f1972,plain,
( ~ c0_1(a910)
| ~ spl0_26
| spl0_78
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f1966,f502]) ).
fof(f1982,plain,
( $false
| ~ spl0_26
| spl0_78
| ~ spl0_119
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f1972,f1666]) ).
fof(f1983,plain,
( ~ spl0_26
| spl0_78
| ~ spl0_119
| ~ spl0_165 ),
inference(avatar_contradiction_clause,[],[f1982]) ).
fof(f2006,plain,
( $false
| ~ spl0_13
| spl0_82
| spl0_83
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f1770,f526]) ).
fof(f2007,plain,
( ~ spl0_13
| spl0_82
| spl0_83
| ~ spl0_126 ),
inference(avatar_contradiction_clause,[],[f2006]) ).
fof(f2022,plain,
( ~ c0_1(a900)
| ~ c1_1(a900)
| ~ spl0_4
| ~ spl0_143 ),
inference(resolution,[],[f196,f777]) ).
fof(f2041,plain,
( c2_1(a914)
| ~ c1_1(a914)
| ~ spl0_7
| ~ spl0_122 ),
inference(resolution,[],[f206,f693]) ).
fof(f2052,plain,
( c0_1(a901)
| c1_1(a901)
| ~ spl0_8
| spl0_168 ),
inference(resolution,[],[f210,f1765]) ).
fof(f2053,plain,
( c1_1(a901)
| ~ spl0_8
| spl0_63
| spl0_168 ),
inference(forward_subsumption_resolution,[],[f2052,f433]) ).
fof(f2054,plain,
( $false
| ~ spl0_8
| spl0_62
| spl0_63
| spl0_168 ),
inference(forward_subsumption_resolution,[],[f2053,f429]) ).
fof(f2055,plain,
( ~ spl0_8
| spl0_62
| spl0_63
| spl0_168 ),
inference(avatar_contradiction_clause,[],[f2054]) ).
fof(f2066,plain,
( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| c0_1(X0) )
| ~ spl0_10
| ~ spl0_11 ),
inference(resolution,[],[f221,f217]) ).
fof(f2078,plain,
( c0_1(a901)
| c1_1(a901)
| ~ spl0_11
| spl0_61 ),
inference(resolution,[],[f221,f425]) ).
fof(f2079,plain,
( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0) )
| ~ spl0_10
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f2066]) ).
fof(f2080,plain,
( c1_1(a901)
| ~ spl0_11
| spl0_61
| spl0_63 ),
inference(forward_subsumption_resolution,[],[f2078,f433]) ).
fof(f2081,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1) )
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f238,f196]) ).
fof(f2086,plain,
( ~ c0_1(a960)
| ~ spl0_4
| ~ spl0_16
| ~ spl0_139 ),
inference(resolution,[],[f2081,f761]) ).
fof(f2089,plain,
( ~ c0_1(a914)
| ~ spl0_4
| ~ spl0_16
| ~ spl0_122 ),
inference(resolution,[],[f2081,f693]) ).
fof(f2090,plain,
( $false
| ~ spl0_4
| ~ spl0_16
| ~ spl0_122
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f2089,f697]) ).
fof(f2091,plain,
( ~ spl0_4
| ~ spl0_16
| ~ spl0_122
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f2090]) ).
fof(f2095,plain,
( $false
| ~ spl0_4
| ~ spl0_16
| ~ spl0_139
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f2086,f765]) ).
fof(f2096,plain,
( ~ spl0_4
| ~ spl0_16
| ~ spl0_139
| ~ spl0_140 ),
inference(avatar_contradiction_clause,[],[f2095]) ).
fof(f2109,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1) )
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f245,f217]) ).
fof(f2115,plain,
( spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f2079,f220,f216,f209]) ).
fof(f2176,plain,
( spl0_79
| ~ spl0_5
| ~ spl0_120
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1329,f688,f684,f199,f506]) ).
fof(f2184,plain,
( c0_1(a954)
| ~ spl0_10
| ~ spl0_18
| ~ spl0_137 ),
inference(resolution,[],[f2109,f753]) ).
fof(f2188,plain,
( spl0_101
| ~ spl0_10
| ~ spl0_18
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2184,f752,f244,f216,f607]) ).
fof(f2216,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_10
| ~ spl0_18
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f283,f2109]) ).
fof(f2222,plain,
( ~ c2_1(a900)
| ~ spl0_10
| ~ spl0_18
| ~ spl0_29
| ~ spl0_143 ),
inference(resolution,[],[f2216,f777]) ).
fof(f2228,plain,
( $false
| ~ spl0_10
| ~ spl0_18
| ~ spl0_29
| ~ spl0_143
| ~ spl0_144 ),
inference(forward_subsumption_resolution,[],[f2222,f782]) ).
fof(f2229,plain,
( ~ spl0_10
| ~ spl0_18
| ~ spl0_29
| ~ spl0_143
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[],[f2228]) ).
fof(f2234,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f231,f1360]) ).
fof(f2238,plain,
( ~ spl0_159
| ~ spl0_1
| ~ spl0_9
| spl0_71 ),
inference(avatar_split_clause,[],[f1363,f469,f212,f186,f1079]) ).
fof(f2252,plain,
( c0_1(a923)
| ~ spl0_10
| ~ spl0_18
| ~ spl0_127 ),
inference(resolution,[],[f713,f2109]) ).
fof(f2255,plain,
( $false
| ~ spl0_10
| ~ spl0_18
| spl0_85
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f2252,f535]) ).
fof(f2256,plain,
( ~ spl0_10
| ~ spl0_18
| spl0_85
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f2255]) ).
fof(f2263,plain,
( spl0_159
| ~ spl0_14
| spl0_71
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1441,f660,f469,f230,f1079]) ).
fof(f2272,plain,
( ~ c0_1(a979)
| ~ spl0_2
| ~ spl0_12
| spl0_107 ),
inference(resolution,[],[f880,f633]) ).
fof(f2278,plain,
( ~ c0_1(a906)
| ~ spl0_2
| ~ spl0_12
| spl0_71 ),
inference(resolution,[],[f880,f470]) ).
fof(f2282,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| spl0_71
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f2278,f661]) ).
fof(f2283,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_71
| ~ spl0_114 ),
inference(avatar_contradiction_clause,[],[f2282]) ).
fof(f2284,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| spl0_107
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f2272,f773]) ).
fof(f2285,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_107
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f2284]) ).
fof(f2294,plain,
( c0_1(a946)
| ~ spl0_10
| ~ spl0_20
| spl0_98 ),
inference(resolution,[],[f1389,f594]) ).
fof(f2298,plain,
( $false
| ~ spl0_10
| ~ spl0_20
| spl0_98
| spl0_99 ),
inference(forward_subsumption_resolution,[],[f2294,f598]) ).
fof(f2299,plain,
( ~ spl0_10
| ~ spl0_20
| spl0_98
| spl0_99 ),
inference(avatar_contradiction_clause,[],[f2298]) ).
fof(f2311,plain,
( ~ spl0_145
| ~ spl0_164
| ~ spl0_4
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f2022,f776,f195,f1547,f785]) ).
fof(f2346,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f190,f2081]) ).
fof(f2358,plain,
( ~ c0_1(a902)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_16
| ~ spl0_108 ),
inference(resolution,[],[f2346,f637]) ).
fof(f2360,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_16
| ~ spl0_108
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f2358,f641]) ).
fof(f2361,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_16
| ~ spl0_108
| ~ spl0_109 ),
inference(avatar_contradiction_clause,[],[f2360]) ).
fof(f2418,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f245,f2346]) ).
fof(f2425,plain,
( ~ c2_1(a949)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_16
| ~ spl0_18
| ~ spl0_135 ),
inference(resolution,[],[f2418,f745]) ).
fof(f2432,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_16
| ~ spl0_18
| ~ spl0_135
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f2425,f749]) ).
fof(f2433,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_16
| ~ spl0_18
| ~ spl0_135
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f2432]) ).
fof(f2460,plain,
( ! [X0] : ~ c0_1(X0)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2234,f2081]) ).
fof(f2470,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_14
| ~ spl0_16
| ~ spl0_110 ),
inference(resolution,[],[f2460,f645]) ).
fof(f2471,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_14
| ~ spl0_16
| ~ spl0_110 ),
inference(avatar_contradiction_clause,[],[f2470]) ).
fof(f2477,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_14
| ~ spl0_16
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f641,f2460]) ).
fof(f2478,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_14
| ~ spl0_16
| ~ spl0_109 ),
inference(avatar_contradiction_clause,[],[f2477]) ).
fof(f2506,plain,
( ~ c2_1(a901)
| c1_1(a901)
| ~ spl0_6
| spl0_61 ),
inference(resolution,[],[f203,f425]) ).
fof(f2576,plain,
( ~ spl0_125
| ~ spl0_7
| spl0_81
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f994,f700,f516,f205,f704]) ).
fof(f2590,plain,
( spl0_62
| ~ spl0_11
| spl0_61
| spl0_63 ),
inference(avatar_split_clause,[],[f2080,f432,f424,f220,f428]) ).
fof(f2605,plain,
( ~ spl0_159
| ~ spl0_114
| ~ spl0_23
| spl0_71 ),
inference(avatar_split_clause,[],[f1464,f469,f261,f660,f1079]) ).
fof(f2618,plain,
( ! [X2] :
( c2_1(X2)
| c0_1(X2) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f210,f991]) ).
fof(f2667,plain,
( spl0_62
| ~ spl0_168
| ~ spl0_6
| spl0_61 ),
inference(avatar_split_clause,[],[f2506,f424,f202,f1764,f428]) ).
fof(f2674,plain,
( ~ c2_1(a906)
| c1_1(a906)
| ~ spl0_6
| spl0_71 ),
inference(resolution,[],[f203,f470]) ).
fof(f2681,plain,
( c1_1(a906)
| ~ spl0_6
| spl0_71
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f2674,f657]) ).
fof(f2689,plain,
( spl0_161
| ~ spl0_8
| ~ spl0_30
| spl0_80 ),
inference(avatar_split_clause,[],[f1642,f511,f286,f209,f1155]) ).
fof(f2690,plain,
( spl0_159
| ~ spl0_6
| spl0_71
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f2681,f656,f469,f202,f1079]) ).
fof(f2707,plain,
( ~ c0_1(a903)
| c2_1(a903)
| ~ spl0_12
| spl0_65 ),
inference(resolution,[],[f224,f443]) ).
fof(f2711,plain,
( c2_1(a903)
| ~ spl0_12
| spl0_65
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f2707,f645]) ).
fof(f2712,plain,
( $false
| ~ spl0_12
| spl0_65
| spl0_66
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f2711,f447]) ).
fof(f2713,plain,
( ~ spl0_12
| spl0_65
| spl0_66
| ~ spl0_110 ),
inference(avatar_contradiction_clause,[],[f2712]) ).
fof(f2717,plain,
( ~ c1_1(a914)
| ~ spl0_7
| spl0_80
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f2041,f512]) ).
fof(f2727,plain,
( ~ spl0_161
| ~ spl0_7
| spl0_80
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2717,f692,f511,f205,f1155]) ).
fof(f2736,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f245,f2618]) ).
fof(f2746,plain,
( c0_1(a923)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18
| ~ spl0_127 ),
inference(resolution,[],[f2736,f713]) ).
fof(f2753,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18
| spl0_85
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f2746,f535]) ).
fof(f2754,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18
| spl0_85
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f2753]) ).
fof(f2802,plain,
( ! [X1] :
( c1_1(X1)
| c0_1(X1) )
| ~ spl0_11
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f294,f221]) ).
fof(f2808,plain,
( c0_1(a924)
| ~ spl0_11
| ~ spl0_32
| spl0_86 ),
inference(resolution,[],[f2802,f540]) ).
fof(f2809,plain,
( c0_1(a923)
| ~ spl0_11
| ~ spl0_32
| spl0_84 ),
inference(resolution,[],[f2802,f531]) ).
fof(f2822,plain,
( $false
| ~ spl0_11
| ~ spl0_32
| spl0_84
| spl0_85 ),
inference(forward_subsumption_resolution,[],[f2809,f535]) ).
fof(f2823,plain,
( ~ spl0_11
| ~ spl0_32
| spl0_84
| spl0_85 ),
inference(avatar_contradiction_clause,[],[f2822]) ).
fof(f2824,plain,
( $false
| ~ spl0_11
| ~ spl0_32
| spl0_86
| spl0_87 ),
inference(forward_subsumption_resolution,[],[f2808,f544]) ).
fof(f2825,plain,
( ~ spl0_11
| ~ spl0_32
| spl0_86
| spl0_87 ),
inference(avatar_contradiction_clause,[],[f2824]) ).
fof(f2845,plain,
( ~ c0_1(a906)
| ~ c2_1(a906)
| ~ spl0_2
| spl0_71 ),
inference(resolution,[],[f190,f470]) ).
fof(f2850,plain,
( ~ c2_1(a906)
| ~ spl0_2
| spl0_71
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f2845,f661]) ).
fof(f2853,plain,
( $false
| ~ spl0_2
| spl0_71
| ~ spl0_113
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f2850,f657]) ).
fof(f2854,plain,
( ~ spl0_2
| spl0_71
| ~ spl0_113
| ~ spl0_114 ),
inference(avatar_contradiction_clause,[],[f2853]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f197]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f207]) ).
cnf(s3,plain,
( spl0_2
| ~ spl0_3
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f214]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_4
| spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f218]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_5
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f225]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_8
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f232]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_17
| spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f249]) ).
cnf(s9,plain,
( ~ spl0_3
| spl0_11
| spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f253]) ).
cnf(s11,plain,
( spl0_1
| ~ spl0_3
| spl0_19
| spl0_24 ),
inference(sat_conversion,[],[f267]) ).
cnf(s14,plain,
( ~ spl0_3
| spl0_4
| spl0_17
| spl0_30 ),
inference(sat_conversion,[],[f288]) ).
cnf(s15,plain,
( ~ spl0_3
| spl0_19
| spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f295]) ).
cnf(s16,plain,
( ~ spl0_3
| spl0_12
| spl0_23
| spl0_25 ),
inference(sat_conversion,[],[f296]) ).
cnf(s17,plain,
( ~ spl0_3
| spl0_7
| spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f300]) ).
cnf(s19,plain,
( spl0_1
| ~ spl0_3
| spl0_26
| spl0_35 ),
inference(sat_conversion,[],[f308]) ).
cnf(s21,plain,
( ~ spl0_3
| spl0_13
| spl0_18
| spl0_31 ),
inference(sat_conversion,[],[f313]) ).
cnf(s22,plain,
( spl0_1
| ~ spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f314]) ).
cnf(s26,plain,
( ~ spl0_3
| spl0_20
| spl0_28
| spl0_30 ),
inference(sat_conversion,[],[f324]) ).
cnf(s27,plain,
( ~ spl0_3
| spl0_19
| spl0_39
| spl0_40 ),
inference(sat_conversion,[],[f331]) ).
cnf(s28,plain,
( ~ spl0_3
| spl0_17
| spl0_29
| spl0_41 ),
inference(sat_conversion,[],[f335]) ).
cnf(s31,plain,
( ~ spl0_3
| spl0_23
| spl0_35
| spl0_45 ),
inference(sat_conversion,[],[f350]) ).
cnf(s32,plain,
( ~ spl0_3
| spl0_7
| spl0_34
| spl0_46 ),
inference(sat_conversion,[],[f354]) ).
cnf(s33,plain,
( ~ spl0_3
| spl0_7
| spl0_21
| spl0_34 ),
inference(sat_conversion,[],[f355]) ).
cnf(s37,plain,
( ~ spl0_3
| spl0_18
| spl0_45
| spl0_47 ),
inference(sat_conversion,[],[f365]) ).
cnf(s38,plain,
( ~ spl0_3
| spl0_18
| spl0_24
| spl0_49 ),
inference(sat_conversion,[],[f369]) ).
cnf(s39,plain,
( ~ spl0_3
| spl0_5
| spl0_47
| spl0_50 ),
inference(sat_conversion,[],[f373]) ).
cnf(s40,plain,
( ~ spl0_3
| spl0_5
| spl0_45
| spl0_51 ),
inference(sat_conversion,[],[f377]) ).
cnf(s43,plain,
( ~ spl0_3
| spl0_12
| spl0_50
| spl0_52 ),
inference(sat_conversion,[],[f383]) ).
cnf(s44,plain,
( ~ spl0_3
| spl0_16
| spl0_49 ),
inference(sat_conversion,[],[f384]) ).
cnf(s48,plain,
( ~ spl0_3
| spl0_30
| spl0_39
| spl0_43 ),
inference(sat_conversion,[],[f397]) ).
cnf(s49,plain,
( ~ spl0_3
| spl0_13
| spl0_25
| spl0_56 ),
inference(sat_conversion,[],[f401]) ).
cnf(s50,plain,
( ~ spl0_3
| spl0_13
| spl0_39
| spl0_49 ),
inference(sat_conversion,[],[f402]) ).
cnf(s52,plain,
( ~ spl0_3
| spl0_32
| spl0_47
| spl0_52 ),
inference(sat_conversion,[],[f407]) ).
cnf(s56,plain,
( ~ spl0_3
| spl0_20
| spl0_35
| spl0_46 ),
inference(sat_conversion,[],[f420]) ).
cnf(s57,plain,
( ~ spl0_3
| spl0_8
| spl0_15
| spl0_56 ),
inference(sat_conversion,[],[f421]) ).
cnf(s58,plain,
( ~ spl0_25
| ~ spl0_61 ),
inference(sat_conversion,[],[f426]) ).
cnf(s59,plain,
( ~ spl0_25
| ~ spl0_62 ),
inference(sat_conversion,[],[f430]) ).
cnf(s60,plain,
( ~ spl0_25
| ~ spl0_63 ),
inference(sat_conversion,[],[f434]) ).
cnf(s62,plain,
( ~ spl0_56
| ~ spl0_65 ),
inference(sat_conversion,[],[f444]) ).
cnf(s63,plain,
( ~ spl0_56
| ~ spl0_66 ),
inference(sat_conversion,[],[f448]) ).
cnf(s64,plain,
( ~ spl0_51
| ~ spl0_67 ),
inference(sat_conversion,[],[f453]) ).
cnf(s65,plain,
( ~ spl0_51
| ~ spl0_68 ),
inference(sat_conversion,[],[f457]) ).
cnf(s66,plain,
( ~ spl0_58
| ~ spl0_69 ),
inference(sat_conversion,[],[f462]) ).
cnf(s67,plain,
( ~ spl0_58
| ~ spl0_70 ),
inference(sat_conversion,[],[f466]) ).
cnf(s68,plain,
( ~ spl0_31
| ~ spl0_71 ),
inference(sat_conversion,[],[f471]) ).
cnf(s69,plain,
( ~ spl0_52
| ~ spl0_72 ),
inference(sat_conversion,[],[f476]) ).
cnf(s70,plain,
( ~ spl0_47
| ~ spl0_73 ),
inference(sat_conversion,[],[f481]) ).
cnf(s71,plain,
( ~ spl0_47
| ~ spl0_74 ),
inference(sat_conversion,[],[f485]) ).
cnf(s74,plain,
( ~ spl0_28
| ~ spl0_77 ),
inference(sat_conversion,[],[f499]) ).
cnf(s75,plain,
( ~ spl0_28
| ~ spl0_78 ),
inference(sat_conversion,[],[f503]) ).
cnf(s76,plain,
( ~ spl0_46
| ~ spl0_79 ),
inference(sat_conversion,[],[f508]) ).
cnf(s77,plain,
( ~ spl0_40
| ~ spl0_80 ),
inference(sat_conversion,[],[f513]) ).
cnf(s78,plain,
( ~ spl0_39
| ~ spl0_81 ),
inference(sat_conversion,[],[f518]) ).
cnf(s79,plain,
( ~ spl0_45
| ~ spl0_82 ),
inference(sat_conversion,[],[f523]) ).
cnf(s80,plain,
( ~ spl0_45
| ~ spl0_83 ),
inference(sat_conversion,[],[f527]) ).
cnf(s81,plain,
( ~ spl0_50
| ~ spl0_84 ),
inference(sat_conversion,[],[f532]) ).
cnf(s82,plain,
( ~ spl0_50
| ~ spl0_85 ),
inference(sat_conversion,[],[f536]) ).
cnf(s83,plain,
( ~ spl0_17
| ~ spl0_86 ),
inference(sat_conversion,[],[f541]) ).
cnf(s84,plain,
( ~ spl0_17
| ~ spl0_87 ),
inference(sat_conversion,[],[f545]) ).
cnf(s85,plain,
( ~ spl0_24
| ~ spl0_88 ),
inference(sat_conversion,[],[f550]) ).
cnf(s86,plain,
( ~ spl0_43
| ~ spl0_89 ),
inference(sat_conversion,[],[f555]) ).
cnf(s87,plain,
( ~ spl0_43
| ~ spl0_90 ),
inference(sat_conversion,[],[f559]) ).
cnf(s88,plain,
( ~ spl0_43
| ~ spl0_91 ),
inference(sat_conversion,[],[f563]) ).
cnf(s92,plain,
( ~ spl0_42
| ~ spl0_95 ),
inference(sat_conversion,[],[f582]) ).
cnf(s93,plain,
( ~ spl0_42
| ~ spl0_96 ),
inference(sat_conversion,[],[f586]) ).
cnf(s94,plain,
( ~ spl0_34
| ~ spl0_97 ),
inference(sat_conversion,[],[f591]) ).
cnf(s95,plain,
( ~ spl0_34
| ~ spl0_98 ),
inference(sat_conversion,[],[f595]) ).
cnf(s96,plain,
( ~ spl0_34
| ~ spl0_99 ),
inference(sat_conversion,[],[f599]) ).
cnf(s98,plain,
( ~ spl0_41
| ~ spl0_101 ),
inference(sat_conversion,[],[f609]) ).
cnf(s103,plain,
( ~ spl0_106
| ~ spl0_107 ),
inference(sat_conversion,[],[f634]) ).
cnf(s104,plain,
( ~ spl0_15
| spl0_108 ),
inference(sat_conversion,[],[f638]) ).
cnf(s105,plain,
( ~ spl0_15
| spl0_109 ),
inference(sat_conversion,[],[f642]) ).
cnf(s106,plain,
( ~ spl0_56
| spl0_110 ),
inference(sat_conversion,[],[f646]) ).
cnf(s108,plain,
( ~ spl0_58
| spl0_112 ),
inference(sat_conversion,[],[f654]) ).
cnf(s109,plain,
( ~ spl0_31
| spl0_113 ),
inference(sat_conversion,[],[f658]) ).
cnf(s110,plain,
( ~ spl0_31
| spl0_114 ),
inference(sat_conversion,[],[f662]) ).
cnf(s111,plain,
( ~ spl0_52
| spl0_115 ),
inference(sat_conversion,[],[f666]) ).
cnf(s113,plain,
( ~ spl0_47
| spl0_117 ),
inference(sat_conversion,[],[f674]) ).
cnf(s115,plain,
( ~ spl0_28
| spl0_119 ),
inference(sat_conversion,[],[f682]) ).
cnf(s116,plain,
( ~ spl0_46
| spl0_120 ),
inference(sat_conversion,[],[f686]) ).
cnf(s117,plain,
( ~ spl0_46
| spl0_121 ),
inference(sat_conversion,[],[f690]) ).
cnf(s118,plain,
( ~ spl0_40
| spl0_122 ),
inference(sat_conversion,[],[f694]) ).
cnf(s119,plain,
( ~ spl0_40
| spl0_123 ),
inference(sat_conversion,[],[f698]) ).
cnf(s120,plain,
( ~ spl0_39
| spl0_124 ),
inference(sat_conversion,[],[f702]) ).
cnf(s121,plain,
( ~ spl0_39
| spl0_125 ),
inference(sat_conversion,[],[f706]) ).
cnf(s122,plain,
( ~ spl0_45
| spl0_126 ),
inference(sat_conversion,[],[f710]) ).
cnf(s123,plain,
( ~ spl0_50
| spl0_127 ),
inference(sat_conversion,[],[f714]) ).
cnf(s124,plain,
( ~ spl0_17
| spl0_128 ),
inference(sat_conversion,[],[f718]) ).
cnf(s125,plain,
( ~ spl0_24
| spl0_129 ),
inference(sat_conversion,[],[f722]) ).
cnf(s126,plain,
( ~ spl0_24
| spl0_130 ),
inference(sat_conversion,[],[f726]) ).
cnf(s130,plain,
( ~ spl0_42
| spl0_134 ),
inference(sat_conversion,[],[f742]) ).
cnf(s131,plain,
( ~ spl0_33
| spl0_135 ),
inference(sat_conversion,[],[f746]) ).
cnf(s132,plain,
( ~ spl0_33
| spl0_136 ),
inference(sat_conversion,[],[f750]) ).
cnf(s133,plain,
( ~ spl0_41
| spl0_137 ),
inference(sat_conversion,[],[f754]) ).
cnf(s135,plain,
( ~ spl0_21
| spl0_139 ),
inference(sat_conversion,[],[f762]) ).
cnf(s136,plain,
( ~ spl0_21
| spl0_140 ),
inference(sat_conversion,[],[f766]) ).
cnf(s137,plain,
( ~ spl0_106
| spl0_141 ),
inference(sat_conversion,[],[f770]) ).
cnf(s138,plain,
( ~ spl0_106
| spl0_142 ),
inference(sat_conversion,[],[f774]) ).
cnf(s139,plain,
( ~ spl0_35
| spl0_143 ),
inference(sat_conversion,[],[f779]) ).
cnf(s140,plain,
( ~ spl0_35
| spl0_144 ),
inference(sat_conversion,[],[f783]) ).
cnf(s141,plain,
( ~ spl0_35
| spl0_145 ),
inference(sat_conversion,[],[f787]) ).
cnf(s142,plain,
( ~ spl0_49
| spl0_146 ),
inference(sat_conversion,[],[f792]) ).
cnf(s143,plain,
( ~ spl0_49
| spl0_147 ),
inference(sat_conversion,[],[f796]) ).
cnf(s144,plain,
( ~ spl0_49
| spl0_148 ),
inference(sat_conversion,[],[f800]) ).
cnf(s151,plain,
( spl0_34
| spl0_39
| spl0_45 ),
inference(sat_conversion,[],[f827]) ).
cnf(s152,plain,
( spl0_42
| spl0_50
| spl0_58 ),
inference(sat_conversion,[],[f828]) ).
cnf(s153,plain,
( spl0_31
| spl0_34
| spl0_106 ),
inference(sat_conversion,[],[f830]) ).
cnf(s159,plain,
( spl0_3
| ~ spl0_31 ),
inference(sat_conversion,[],[f837]) ).
cnf(s175,plain,
( spl0_3
| ~ spl0_34 ),
inference(sat_conversion,[],[f853]) ).
cnf(s180,plain,
( spl0_3
| ~ spl0_106 ),
inference(sat_conversion,[],[f858]) ).
cnf(s187,plain,
( ~ spl0_10
| spl0_69
| spl0_70
| ~ spl0_112 ),
inference(sat_conversion,[],[f894]) ).
cnf(s199,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_95
| ~ spl0_134 ),
inference(sat_conversion,[],[f950]) ).
cnf(s210,plain,
( ~ spl0_2
| ~ spl0_13
| spl0_88
| ~ spl0_129 ),
inference(sat_conversion,[],[f989]) ).
cnf(s217,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_72
| ~ spl0_115 ),
inference(sat_conversion,[],[f1020]) ).
cnf(s224,plain,
( ~ spl0_1
| ~ spl0_8
| spl0_97
| spl0_98
| spl0_99 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s243,plain,
( ~ spl0_4
| ~ spl0_146
| ~ spl0_147
| ~ spl0_148 ),
inference(sat_conversion,[],[f1147]) ).
cnf(s251,plain,
( ~ spl0_1
| spl0_73
| spl0_74
| ~ spl0_117 ),
inference(sat_conversion,[],[f1172]) ).
cnf(s257,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_80
| ~ spl0_161 ),
inference(sat_conversion,[],[f1194]) ).
cnf(s290,plain,
( ~ spl0_8
| ~ spl0_12
| spl0_89
| spl0_90
| spl0_91 ),
inference(sat_conversion,[],[f1354]) ).
cnf(s304,plain,
( ~ spl0_14
| spl0_95
| spl0_96
| ~ spl0_134 ),
inference(sat_conversion,[],[f1447]) ).
cnf(s309,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30
| spl0_80 ),
inference(sat_conversion,[],[f1501]) ).
cnf(s312,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_32
| spl0_85
| ~ spl0_127 ),
inference(sat_conversion,[],[f1533]) ).
cnf(s318,plain,
( ~ spl0_7
| ~ spl0_19
| ~ spl0_146
| ~ spl0_147 ),
inference(sat_conversion,[],[f1543]) ).
cnf(s319,plain,
( ~ spl0_7
| ~ spl0_19
| ~ spl0_143
| ~ spl0_145 ),
inference(sat_conversion,[],[f1544]) ).
cnf(s332,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_88
| ~ spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f1585]) ).
cnf(s339,plain,
( ~ spl0_7
| ~ spl0_19
| ~ spl0_124
| ~ spl0_125 ),
inference(sat_conversion,[],[f1590]) ).
cnf(s350,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_19
| ~ spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f1636]) ).
cnf(s353,plain,
( ~ spl0_8
| ~ spl0_30
| spl0_67
| spl0_68 ),
inference(sat_conversion,[],[f1650]) ).
cnf(s356,plain,
( ~ spl0_13
| spl0_77
| ~ spl0_119
| spl0_165 ),
inference(sat_conversion,[],[f1667]) ).
cnf(s373,plain,
( ~ spl0_13
| ~ spl0_18
| spl0_83
| ~ spl0_126 ),
inference(sat_conversion,[],[f1722]) ).
cnf(s374,plain,
( ~ spl0_13
| ~ spl0_18
| spl0_87
| ~ spl0_128 ),
inference(sat_conversion,[],[f1724]) ).
cnf(s376,plain,
( ~ spl0_13
| ~ spl0_18
| ~ spl0_144
| spl0_164 ),
inference(sat_conversion,[],[f1727]) ).
cnf(s379,plain,
( ~ spl0_13
| ~ spl0_18
| spl0_79
| ~ spl0_120 ),
inference(sat_conversion,[],[f1732]) ).
cnf(s382,plain,
( ~ spl0_13
| ~ spl0_20
| spl0_97
| spl0_99 ),
inference(sat_conversion,[],[f1750]) ).
cnf(s386,plain,
( ~ spl0_23
| spl0_107
| ~ spl0_141
| ~ spl0_142 ),
inference(sat_conversion,[],[f1755]) ).
cnf(s393,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_19
| ~ spl0_23
| ~ spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f1787]) ).
cnf(s401,plain,
( ~ spl0_13
| ~ spl0_20
| ~ spl0_23
| spl0_88
| ~ spl0_130 ),
inference(sat_conversion,[],[f1808]) ).
cnf(s422,plain,
( ~ spl0_9
| spl0_88
| ~ spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f1846]) ).
cnf(s451,plain,
( ~ spl0_26
| spl0_78
| ~ spl0_119
| ~ spl0_165 ),
inference(sat_conversion,[],[f1983]) ).
cnf(s456,plain,
( ~ spl0_13
| spl0_82
| spl0_83
| ~ spl0_126 ),
inference(sat_conversion,[],[f2007]) ).
cnf(s462,plain,
( ~ spl0_8
| spl0_62
| spl0_63
| spl0_168 ),
inference(sat_conversion,[],[f2055]) ).
cnf(s465,plain,
( ~ spl0_4
| ~ spl0_16
| ~ spl0_122
| ~ spl0_123 ),
inference(sat_conversion,[],[f2091]) ).
cnf(s468,plain,
( ~ spl0_4
| ~ spl0_16
| ~ spl0_139
| ~ spl0_140 ),
inference(sat_conversion,[],[f2096]) ).
cnf(s485,plain,
( spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f2115]) ).
cnf(s510,plain,
( ~ spl0_5
| spl0_79
| ~ spl0_120
| ~ spl0_121 ),
inference(sat_conversion,[],[f2176]) ).
cnf(s514,plain,
( ~ spl0_10
| ~ spl0_18
| spl0_101
| ~ spl0_137 ),
inference(sat_conversion,[],[f2188]) ).
cnf(s518,plain,
( ~ spl0_10
| ~ spl0_18
| ~ spl0_29
| ~ spl0_143
| ~ spl0_144 ),
inference(sat_conversion,[],[f2229]) ).
cnf(s523,plain,
( ~ spl0_1
| ~ spl0_9
| spl0_71
| ~ spl0_159 ),
inference(sat_conversion,[],[f2238]) ).
cnf(s534,plain,
( ~ spl0_10
| ~ spl0_18
| spl0_85
| ~ spl0_127 ),
inference(sat_conversion,[],[f2256]) ).
cnf(s539,plain,
( ~ spl0_14
| spl0_71
| ~ spl0_114
| spl0_159 ),
inference(sat_conversion,[],[f2263]) ).
cnf(s547,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_71
| ~ spl0_114 ),
inference(sat_conversion,[],[f2283]) ).
cnf(s549,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_107
| ~ spl0_142 ),
inference(sat_conversion,[],[f2285]) ).
cnf(s553,plain,
( ~ spl0_10
| ~ spl0_20
| spl0_98
| spl0_99 ),
inference(sat_conversion,[],[f2299]) ).
cnf(s563,plain,
( ~ spl0_4
| ~ spl0_143
| ~ spl0_145
| ~ spl0_164 ),
inference(sat_conversion,[],[f2311]) ).
cnf(s574,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_16
| ~ spl0_108
| ~ spl0_109 ),
inference(sat_conversion,[],[f2361]) ).
cnf(s591,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_16
| ~ spl0_18
| ~ spl0_135
| ~ spl0_136 ),
inference(sat_conversion,[],[f2433]) ).
cnf(s602,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_14
| ~ spl0_16
| ~ spl0_110 ),
inference(sat_conversion,[],[f2471]) ).
cnf(s608,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_14
| ~ spl0_16
| ~ spl0_109 ),
inference(sat_conversion,[],[f2478]) ).
cnf(s645,plain,
( ~ spl0_7
| spl0_81
| ~ spl0_124
| ~ spl0_125 ),
inference(sat_conversion,[],[f2576]) ).
cnf(s661,plain,
( ~ spl0_11
| spl0_61
| spl0_62
| spl0_63 ),
inference(sat_conversion,[],[f2590]) ).
cnf(s687,plain,
( ~ spl0_23
| spl0_71
| ~ spl0_114
| ~ spl0_159 ),
inference(sat_conversion,[],[f2605]) ).
cnf(s708,plain,
( ~ spl0_6
| spl0_61
| spl0_62
| ~ spl0_168 ),
inference(sat_conversion,[],[f2667]) ).
cnf(s716,plain,
( ~ spl0_8
| ~ spl0_30
| spl0_80
| spl0_161 ),
inference(sat_conversion,[],[f2689]) ).
cnf(s717,plain,
( ~ spl0_6
| spl0_71
| ~ spl0_113
| spl0_159 ),
inference(sat_conversion,[],[f2690]) ).
cnf(s725,plain,
( ~ spl0_12
| spl0_65
| spl0_66
| ~ spl0_110 ),
inference(sat_conversion,[],[f2713]) ).
cnf(s765,plain,
( ~ spl0_7
| spl0_80
| ~ spl0_122
| ~ spl0_161 ),
inference(sat_conversion,[],[f2727]) ).
cnf(s774,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18
| spl0_85
| ~ spl0_127 ),
inference(sat_conversion,[],[f2754]) ).
cnf(s785,plain,
( ~ spl0_11
| ~ spl0_32
| spl0_84
| spl0_85 ),
inference(sat_conversion,[],[f2823]) ).
cnf(s786,plain,
( ~ spl0_11
| ~ spl0_32
| spl0_86
| spl0_87 ),
inference(sat_conversion,[],[f2825]) ).
cnf(s802,plain,
( ~ spl0_2
| spl0_71
| ~ spl0_113
| ~ spl0_114 ),
inference(sat_conversion,[],[f2854]) ).
cnf(s803,plain,
spl0_3,
inference(rat,[],[s153,s159,s175,s180]) ).
cnf(s804,plain,
( ~ spl0_56
| ~ spl0_12 ),
inference(rat,[],[s725,s62,s63,s106]) ).
cnf(s805,plain,
( ~ spl0_24
| ~ spl0_9 ),
inference(rat,[],[s422,s85,s125,s126]) ).
cnf(s807,plain,
( ~ spl0_49
| ~ spl0_4 ),
inference(rat,[],[s243,s142,s143,s144]) ).
cnf(s808,plain,
( ~ spl0_39
| ~ spl0_19
| ~ spl0_7 ),
inference(rat,[],[s339,s120,s121]) ).
cnf(s809,plain,
( ~ spl0_46
| ~ spl0_13
| ~ spl0_18 ),
inference(rat,[],[s379,s76,s116]) ).
cnf(s810,plain,
( ~ spl0_45
| ~ spl0_13
| ~ spl0_18 ),
inference(rat,[],[s373,s80,s122]) ).
cnf(s811,plain,
( spl0_24
| spl0_49
| spl0_1 ),
inference(rat,[],[s319,s139,s141,s56,s382,s94,s96,s151,s810,s809,s50,s808,s38,s11,s22,s803]) ).
cnf(s813,plain,
( ~ spl0_45
| ~ spl0_13 ),
inference(rat,[],[s456,s79,s80,s122]) ).
cnf(s814,plain,
( spl0_35
| spl0_30
| ~ spl0_13
| ~ spl0_24
| spl0_1 ),
inference(rat,[],[s356,s451,s74,s75,s115,s26,s401,s31,s19,s126,s85,s813,s803]) ).
cnf(s815,plain,
( ~ spl0_19
| spl0_5
| spl0_2
| spl0_1 ),
inference(rat,[],[s319,s139,s141,s814,s353,s64,s65,s40,s813,s50,s808,s22,s3,s805,s811,s807,s1,s803]) ).
cnf(s816,plain,
( ~ spl0_40
| ~ spl0_4 ),
inference(rat,[],[s465,s118,s119,s44,s807,s803]) ).
cnf(s817,plain,
( ~ spl0_39
| ~ spl0_7 ),
inference(rat,[],[s645,s78,s120,s121]) ).
cnf(s818,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s319,s139,s141,s31,s393,s815,s813,s27,s50,s816,s125,s126,s811,s44,s807,s1,s817,s22,s803]) ).
cnf(s819,plain,
( spl0_49
| ~ spl0_19
| spl0_1 ),
inference(rat,[],[s350,s125,s126,s50,s811,s817,s22,s818,s803]) ).
cnf(s820,plain,
( ~ spl0_19
| spl0_1 ),
inference(rat,[],[s318,s142,s143,s819,s22,s803]) ).
cnf(s821,plain,
( ~ spl0_42
| ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s199,s92,s130]) ).
cnf(s822,plain,
( ~ spl0_41
| ~ spl0_18
| ~ spl0_10 ),
inference(rat,[],[s514,s98,s133]) ).
cnf(s823,plain,
( ~ spl0_58
| ~ spl0_10 ),
inference(rat,[],[s187,s66,s67,s108]) ).
cnf(s824,plain,
( spl0_8
| spl0_1 ),
inference(rat,[],[s547,s68,s110,s21,s534,s82,s123,s152,s823,s821,s5,s485,s4,s816,s27,s817,s22,s332,s126,s210,s85,s818,s125,s11,s820,s803]) ).
cnf(s825,plain,
spl0_1,
inference(rat,[],[s802,s68,s109,s110,s15,s786,s5,s290,s86,s87,s88,s83,s84,s48,s14,s716,s824,s765,s332,s816,s77,s118,s85,s125,s126,s27,s11,s820,s818,s817,s22,s803]) ).
cnf(s826,plain,
( ~ spl0_12
| ~ spl0_10
| spl0_13
| ~ spl0_2 ),
inference(rat,[],[s547,s68,s110,s21,s534,s82,s123,s152,s821,s823,s803]) ).
cnf(s828,plain,
( ~ spl0_50
| ~ spl0_18
| ~ spl0_10 ),
inference(rat,[],[s534,s82,s123]) ).
cnf(s829,plain,
( ~ spl0_52
| ~ spl0_7 ),
inference(rat,[],[s217,s69,s111,s825]) ).
cnf(s830,plain,
( ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s802,s68,s109,s110]) ).
cnf(s831,plain,
( ~ spl0_10
| spl0_13
| spl0_52
| ~ spl0_2 ),
inference(rat,[],[s43,s828,s826,s21,s830,s803]) ).
cnf(s832,plain,
( spl0_13
| ~ spl0_7
| spl0_80
| spl0_39
| ~ spl0_2
| spl0_4 ),
inference(rat,[],[s774,s82,s123,s43,s290,s86,s87,s88,s48,s716,s4,s831,s21,s830,s257,s829,s825,s803]) ).
cnf(s834,plain,
( spl0_8
| ~ spl0_18
| spl0_13
| spl0_4 ),
inference(rat,[],[s304,s92,s93,s130,s152,s828,s823,s6,s4,s803]) ).
cnf(s835,plain,
( ~ spl0_34
| ~ spl0_20
| ~ spl0_10 ),
inference(rat,[],[s553,s95,s96]) ).
cnf(s837,plain,
~ spl0_47,
inference(rat,[],[s251,s70,s71,s113,s825]) ).
cnf(s839,plain,
( ~ spl0_7
| spl0_13
| ~ spl0_2
| spl0_19
| spl0_4 ),
inference(rat,[],[s77,s27,s832,s817,s803]) ).
cnf(s841,plain,
( ~ spl0_34
| ~ spl0_8 ),
inference(rat,[],[s224,s94,s95,s96,s825]) ).
cnf(s842,plain,
( spl0_13
| ~ spl0_2
| spl0_19
| spl0_4 ),
inference(rat,[],[s661,s58,s59,s60,s5,s16,s510,s386,s549,s76,s116,s117,s103,s137,s138,s32,s153,s841,s839,s834,s21,s830,s803]) ).
cnf(s843,plain,
( spl0_8
| spl0_46
| ~ spl0_18
| ~ spl0_2
| spl0_4 ),
inference(rat,[],[s32,s829,s835,s43,s9,s821,s152,s828,s823,s485,s4,s803]) ).
cnf(s844,plain,
( ~ spl0_2
| spl0_19
| spl0_4 ),
inference(rat,[],[s817,s151,s32,s841,s843,s809,s37,s813,s842,s837,s803]) ).
cnf(s845,plain,
( spl0_8
| spl0_13
| spl0_2
| spl0_4 ),
inference(rat,[],[s523,s539,s68,s110,s21,s834,s6,s3,s825,s803]) ).
cnf(s846,plain,
( ~ spl0_7
| ~ spl0_18
| ~ spl0_8
| spl0_19 ),
inference(rat,[],[s774,s82,s123,s43,s290,s86,s87,s88,s48,s309,s77,s27,s829,s817,s825,s803]) ).
cnf(s847,plain,
( ~ spl0_25
| ~ spl0_6
| ~ spl0_8 ),
inference(rat,[],[s708,s462,s58,s59,s60]) ).
cnf(s848,plain,
( spl0_7
| ~ spl0_8
| spl0_13
| spl0_19 ),
inference(rat,[],[s717,s687,s68,s109,s110,s15,s785,s16,s5,s804,s49,s847,s81,s82,s39,s2,s510,s76,s116,s117,s32,s841,s803,s837]) ).
cnf(s849,plain,
( ~ spl0_8
| spl0_13
| spl0_19 ),
inference(rat,[],[s312,s82,s123,s43,s5,s290,s86,s87,s88,s48,s786,s309,s83,s84,s77,s8,s52,s27,s846,s829,s817,s848,s837,s803,s825]) ).
cnf(s850,plain,
( spl0_13
| spl0_19
| spl0_4 ),
inference(rat,[],[s849,s845,s844]) ).
cnf(s851,plain,
( ~ spl0_17
| ~ spl0_13 ),
inference(rat,[],[s374,s84,s124,s37,s813,s837,s803]) ).
cnf(s852,plain,
( ~ spl0_35
| ~ spl0_29
| ~ spl0_10
| ~ spl0_18 ),
inference(rat,[],[s518,s139,s140]) ).
cnf(s853,plain,
( spl0_34
| ~ spl0_13 ),
inference(rat,[],[s817,s32,s151,s809,s37,s813,s803,s837]) ).
cnf(s854,plain,
( ~ spl0_13
| spl0_4 ),
inference(rat,[],[s28,s852,s822,s56,s4,s382,s841,s94,s96,s853,s851,s809,s37,s813,s803,s837]) ).
cnf(s855,plain,
( spl0_8
| spl0_4
| spl0_13 ),
inference(rat,[],[s830,s21,s845,s834,s803]) ).
cnf(s856,plain,
( ~ spl0_7
| spl0_4 ),
inference(rat,[],[s318,s142,s143,s50,s817,s850,s854,s803]) ).
cnf(s857,plain,
( ~ spl0_106
| ~ spl0_23 ),
inference(rat,[],[s386,s103,s137,s138]) ).
cnf(s858,plain,
( spl0_4
| spl0_13 ),
inference(rat,[],[s717,s687,s68,s109,s110,s153,s857,s16,s804,s49,s847,s2,s510,s76,s116,s117,s32,s856,s841,s855,s803]) ).
cnf(s859,plain,
spl0_4,
inference(rat,[],[s858,s854]) ).
cnf(s860,plain,
~ spl0_49,
inference(rat,[],[s807,s859]) ).
cnf(s862,plain,
spl0_16,
inference(rat,[],[s44,s803,s860]) ).
cnf(s864,plain,
( ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s574,s104,s105,s862,s859]) ).
cnf(s865,plain,
( ~ spl0_2
| spl0_8
| spl0_13 ),
inference(rat,[],[s591,s131,s132,s17,s804,s57,s864,s21,s830,s817,s50,s862,s859,s803,s860]) ).
cnf(s866,plain,
( spl0_8
| spl0_13 ),
inference(rat,[],[s57,s105,s106,s608,s602,s3,s865,s6,s862,s859,s825,s803]) ).
cnf(s867,plain,
~ spl0_21,
inference(rat,[],[s468,s135,s136,s859,s862]) ).
cnf(s868,plain,
spl0_13,
inference(rat,[],[s33,s841,s817,s866,s50,s803,s867,s860]) ).
cnf(s869,plain,
~ spl0_45,
inference(rat,[],[s813,s868]) ).
cnf(s871,plain,
spl0_34,
inference(rat,[],[s853,s868]) ).
cnf(s872,plain,
spl0_18,
inference(rat,[],[s37,s837,s803,s869]) ).
cnf(s873,plain,
~ spl0_99,
inference(rat,[],[s96,s871]) ).
cnf(s875,plain,
~ spl0_97,
inference(rat,[],[s94,s871]) ).
cnf(s877,plain,
~ spl0_46,
inference(rat,[],[s809,s868,s872]) ).
cnf(s879,plain,
~ spl0_20,
inference(rat,[],[s382,s873,s868,s875]) ).
cnf(s881,plain,
spl0_35,
inference(rat,[],[s56,s803,s877,s879]) ).
cnf(s883,plain,
spl0_145,
inference(rat,[],[s141,s881]) ).
cnf(s884,plain,
spl0_144,
inference(rat,[],[s140,s881]) ).
cnf(s885,plain,
spl0_143,
inference(rat,[],[s139,s881]) ).
cnf(s887,plain,
spl0_164,
inference(rat,[],[s376,s868,s872,s884]) ).
cnf(s888,plain,
$false,
inference(rat,[],[s563,s883,s859,s887,s885]) ).
fof(f2855,plain,
$false,
inference(avatar_sat_refutation,[],[s888]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN455-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n011.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 16:05:46 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.94 % (3499172)Input is clausal, will run a generic CNF schedule.
% 0.62/0.94 % (3499181)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4036795042:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.62/0.94 % (3499181)First to succeed.
% 0.62/0.94 % (3499181)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3499172"
% 0.62/0.94 % (3499179)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=98795105:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.62/0.94 % (3499178)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1447247411:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.62/0.94 % (3499177)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=4195599541:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.62/0.94 % (3499182)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2888755159:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.62/0.94 % (3499180)lrs+10_1_sil=8000:sp=occurrence:random_seed=676342178:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.62/0.94 % (3499183)dis-21_1_sil=8000:lcm=predicate:random_seed=2233931733: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)
% 0.62/0.94 % (3499183)Also succeeded, but the first one will report.
% 0.62/0.94 % (3499180)Also succeeded, but the first one will report.
% 0.62/0.94 % (3499182)Also succeeded, but the first one will report.
% 0.62/0.94 % (3499181)Refutation found. Thanks to Tanya!
% 0.62/0.94 % SZS status Unsatisfiable for theBenchmark
% 0.62/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 2.62/1.04 % (3499181)------------------------------
% 2.62/1.04 % (3499181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.04 % (3499181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.04 % (3499181)CaDiCaL version: 2.1.3
% 2.62/1.04 % (3499181)Termination reason: Refutation
% 2.62/1.04 % (3499181)Time elapsed: 0.025 s
% 2.62/1.04 % (3499181)Peak memory usage: 90 MB
% 2.62/1.04 % (3499181)Instructions burned: 66 (million)
% 2.62/1.04 % (3499181)------------------------------
% 2.62/1.04 % (3499181)------------------------------
% 2.62/1.04 % (3499172)Success in time 0.294 s
% 2.62/1.04 % Vampire exiting
%------------------------------------------------------------------------------