%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN465-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : 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 01:53:05 PM UTC 2026
% Result : Unsatisfiable 0.66s 0.99s
% Output : Refutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 239
% Syntax : Number of formulae : 912 ( 29 unt; 128 def)
% Number of atoms : 2899 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3595 (1608 ~;1859 |; 0 &)
% ( 128 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 159 ( 158 usr; 155 prp; 0-1 aty)
% Number of functors : 25 ( 25 usr; 25 con; 0-0 aty)
% Number of variables : 128 ( 0 sgn 128 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f8,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f20,negated_conjecture,
( ~ hskp12
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f33,negated_conjecture,
( hskp31
| hskp12
| hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f38,negated_conjecture,
( hskp21
| hskp24
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f39,negated_conjecture,
( ~ hskp31
| c0_1(a76) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
( ~ hskp31
| c1_1(a76) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
( ~ hskp31
| c3_1(a76) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( ~ hskp30
| c0_1(a20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( ~ hskp30
| c2_1(a20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( ~ hskp30
| c3_1(a20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f48,negated_conjecture,
( ~ hskp28
| c0_1(a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( ~ hskp28
| c1_1(a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( ~ hskp28
| c2_1(a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f52,negated_conjecture,
( ~ hskp25
| c0_1(a54) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( ~ hskp25
| c3_1(a54) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( ~ hskp24
| c3_1(a52) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f56,negated_conjecture,
( ~ hskp21
| c2_1(a39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f59,negated_conjecture,
( ~ hskp19
| c1_1(a35) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( ~ hskp18
| c1_1(a33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f62,negated_conjecture,
( ~ hskp17
| c0_1(a32) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f64,negated_conjecture,
( ~ hskp16
| c2_1(a30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( ~ hskp16
| c3_1(a30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( ~ hskp15
| c1_1(a29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( ~ hskp14
| c2_1(a28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( ~ hskp14
| c3_1(a28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f70,negated_conjecture,
( ~ hskp12
| c1_1(a24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( ~ hskp12
| c3_1(a24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( ~ hskp11
| c0_1(a21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( ~ hskp10
| c1_1(a17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( ~ hskp8
| c1_1(a13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( ~ hskp8
| c2_1(a13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( ~ hskp7
| c0_1(a12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp7
| c1_1(a12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( ~ hskp6
| c2_1(a10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( ~ hskp4
| c1_1(a7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f81,negated_conjecture,
( ~ hskp3
| c0_1(a6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( ~ hskp3
| c3_1(a6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( ~ hskp2
| c2_1(a5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f86,negated_conjecture,
( ~ hskp0
| c0_1(a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f90,negated_conjecture,
( ~ c1_1(a57)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( ~ c3_1(a57)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( ~ c1_1(a54)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ c0_1(a52)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ c2_1(a52)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f100,negated_conjecture,
( ~ c0_1(a39)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ c3_1(a39)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f103,negated_conjecture,
( ~ c0_1(a35)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ c3_1(a35)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ c3_1(a33)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ c3_1(a32)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ c1_1(a30)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ c2_1(a29)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ c3_1(a29)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ c0_1(a28)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f113,negated_conjecture,
( ~ c2_1(a24)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ c2_1(a21)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ c3_1(a21)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ c0_1(a17)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f118,negated_conjecture,
( ~ c1_1(a15)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ c2_1(a15)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ c3_1(a15)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ c0_1(a13)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ c3_1(a12)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ c1_1(a10)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ c3_1(a10)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ c0_1(a9)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ c1_1(a9)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ c2_1(a9)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ c0_1(a7)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ c2_1(a6)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ c0_1(a5)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f133,negated_conjecture,
( ~ c1_1(a1)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
( ~ c2_1(a1)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f137,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f138,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| hskp7
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f139,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| hskp0
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f140,negated_conjecture,
! [X0] :
( ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| hskp30
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f142,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp3
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f143,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp15
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f147,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp25
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f148,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f149,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp17
| hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f150,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp11
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f152,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp8
| hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f154,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp28
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f157,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp0
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f159,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp12
| hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f160,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp14
| hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f161,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp28
| hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f163,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp25
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f167,negated_conjecture,
! [X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c0_1(X0)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f171,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f173,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f175,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c3_1(X1)
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f177,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f178,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X0)
| c0_1(X1)
| c3_1(X1)
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f182,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X0)
| c0_1(X1)
| hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f185,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f188,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).
fof(f189,negated_conjecture,
! [X2,X0,X1] :
( ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2)
| c0_1(X0)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
fof(f190,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
fof(f191,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X2)
| c3_1(X0)
| c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
fof(f192,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
fof(f195,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X2)
| c0_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
fof(f196,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
fof(f198,definition,
( spl0_1
<=> ! [X2] :
( ~ c0_1(X2)
| c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f199,plain,
( ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| ~ c0_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f201,definition,
( spl0_2
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f202,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f204,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f207,definition,
( spl0_4
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f208,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f209,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f196,f207,f204,f201,f198]) ).
fof(f211,definition,
( spl0_5
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f212,plain,
( ! [X2] :
( c2_1(X2)
| ~ c3_1(X2)
| c0_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f214,definition,
( spl0_6
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f215,plain,
( ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f217,definition,
( spl0_7
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f218,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f219,plain,
( spl0_5
| spl0_6
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f195,f217,f204,f214,f211]) ).
fof(f221,definition,
( spl0_8
<=> ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f222,plain,
( ! [X2] :
( c2_1(X2)
| ~ c1_1(X2)
| c0_1(X2) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f224,definition,
( spl0_9
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f225,plain,
( ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f228,definition,
( spl0_10
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f229,plain,
( ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f231,definition,
( spl0_11
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f232,plain,
( ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f235,definition,
( spl0_12
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f236,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,definition,
( spl0_13
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f239,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| c1_1(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( spl0_6
| spl0_12
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f192,f238,f204,f235,f214]) ).
fof(f242,definition,
( spl0_14
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f243,plain,
( ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f245,definition,
( spl0_15
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f246,plain,
( ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c0_1(X1) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f247,plain,
( spl0_14
| spl0_15
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f191,f224,f204,f245,f242]) ).
fof(f249,definition,
( spl0_16
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f250,plain,
( ! [X2] :
( c2_1(X2)
| c0_1(X2)
| c1_1(X2) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f252,definition,
( spl0_17
<=> ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f253,plain,
( ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f255,definition,
( spl0_18
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f256,plain,
( ! [X0] :
( c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f257,plain,
( spl0_16
| spl0_17
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f190,f255,f204,f252,f249]) ).
fof(f259,definition,
( spl0_19
<=> ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f260,plain,
( ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f261,plain,
( spl0_19
| spl0_8
| ~ spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f189,f242,f204,f221,f259]) ).
fof(f263,definition,
( spl0_20
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f265,plain,
( spl0_20
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f188,f207,f204,f201,f263]) ).
fof(f267,definition,
( spl0_21
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f277,definition,
( spl0_24
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f280,definition,
( spl0_25
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f281,plain,
( ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f284,definition,
( spl0_26
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f287,definition,
( spl0_27
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f288,plain,
( ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f290,definition,
( spl0_28
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f291,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f292,plain,
( spl0_26
| spl0_27
| ~ spl0_3
| spl0_28 ),
inference(avatar_split_clause,[],[f185,f290,f204,f287,f284]) ).
fof(f294,definition,
( spl0_29
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f297,definition,
( spl0_30
<=> ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f298,plain,
( ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f308,definition,
( spl0_33
<=> hskp30 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f310,plain,
( spl0_33
| spl0_6
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f182,f224,f204,f214,f308]) ).
fof(f312,definition,
( spl0_34
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f314,plain,
( spl0_34
| spl0_5
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f181,f201,f204,f211,f312]) ).
fof(f316,definition,
( spl0_35
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f320,definition,
( spl0_36
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f324,definition,
( spl0_37
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f326,plain,
( spl0_37
| spl0_14
| ~ spl0_3
| spl0_27 ),
inference(avatar_split_clause,[],[f178,f287,f204,f242,f324]) ).
fof(f327,plain,
( spl0_34
| spl0_5
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f177,f224,f204,f211,f312]) ).
fof(f333,definition,
( spl0_39
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f335,plain,
( spl0_39
| spl0_30
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f175,f280,f204,f297,f333]) ).
fof(f336,plain,
( spl0_20
| spl0_10
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f174,f224,f204,f228,f263]) ).
fof(f337,plain,
( spl0_37
| spl0_10
| ~ spl0_3
| spl0_27 ),
inference(avatar_split_clause,[],[f173,f287,f204,f228,f324]) ).
fof(f343,definition,
( spl0_41
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f345,plain,
( spl0_41
| spl0_5
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f171,f238,f204,f211,f343]) ).
fof(f347,definition,
( spl0_42
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f349,plain,
( spl0_42
| spl0_5
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f170,f238,f204,f211,f347]) ).
fof(f351,definition,
( spl0_43
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f354,definition,
( spl0_44
<=> ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f355,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0)
| c0_1(X0) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f356,plain,
( spl0_43
| spl0_8
| ~ spl0_3
| spl0_44 ),
inference(avatar_split_clause,[],[f169,f354,f204,f221,f351]) ).
fof(f358,definition,
( spl0_45
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f360,plain,
( spl0_45
| spl0_16
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f168,f231,f204,f249,f358]) ).
fof(f362,definition,
( spl0_46
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f365,definition,
( spl0_47
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f366,plain,
( ! [X1] :
( c0_1(X1)
| c3_1(X1)
| c2_1(X1) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f367,plain,
( spl0_46
| spl0_47
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f167,f211,f204,f365,f362]) ).
fof(f378,definition,
( spl0_50
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f380,plain,
( spl0_39
| spl0_50
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f163,f217,f204,f378,f333]) ).
fof(f383,definition,
( spl0_51
<=> hskp31 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f385,plain,
( spl0_51
| spl0_35
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f161,f207,f204,f316,f383]) ).
fof(f387,definition,
( spl0_52
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f390,definition,
( spl0_53
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f392,plain,
( spl0_52
| spl0_53
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f160,f201,f204,f390,f387]) ).
fof(f394,definition,
( spl0_54
<=> hskp26 ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f396,plain,
( spl0_54
| spl0_24
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f159,f201,f204,f277,f394]) ).
fof(f398,definition,
( spl0_55
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f404,plain,
( spl0_36
| spl0_45
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f157,f201,f204,f358,f320]) ).
fof(f409,definition,
( spl0_58
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f416,plain,
( spl0_42
| spl0_35
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f154,f255,f204,f316,f347]) ).
fof(f418,plain,
( spl0_20
| spl0_37
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f152,f198,f204,f324,f263]) ).
fof(f424,definition,
( spl0_61
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f426,plain,
( spl0_55
| spl0_61
| ~ spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f150,f235,f204,f424,f398]) ).
fof(f427,plain,
( spl0_58
| spl0_21
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f149,f214,f204,f267,f409]) ).
fof(f429,definition,
( spl0_62
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f431,plain,
( spl0_62
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f148,f255,f204,f429]) ).
fof(f432,plain,
( spl0_29
| spl0_50
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f147,f280,f204,f378,f294]) ).
fof(f442,plain,
( spl0_62
| spl0_26
| ~ spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f143,f242,f204,f284,f429]) ).
fof(f443,plain,
( spl0_53
| spl0_29
| ~ spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f142,f242,f204,f294,f390]) ).
fof(f445,plain,
( spl0_61
| spl0_33
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f140,f211,f204,f308,f424]) ).
fof(f446,plain,
( spl0_39
| spl0_45
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f139,f221,f204,f358,f333]) ).
fof(f447,plain,
( spl0_37
| spl0_42
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f138,f221,f204,f347,f324]) ).
fof(f448,plain,
( spl0_24
| ~ spl0_3
| spl0_44 ),
inference(avatar_split_clause,[],[f137,f354,f204,f277]) ).
fof(f453,definition,
( spl0_65
<=> c2_1(a1) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f454,plain,
( ~ c2_1(a1)
| spl0_65 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f455,plain,
( ~ spl0_45
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f134,f453,f358]) ).
fof(f457,definition,
( spl0_66
<=> c1_1(a1) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f458,plain,
( ~ c1_1(a1)
| spl0_66 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f459,plain,
( ~ spl0_45
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f133,f457,f358]) ).
fof(f471,definition,
( spl0_69
<=> c0_1(a5) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f472,plain,
( ~ c0_1(a5)
| spl0_69 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f473,plain,
( ~ spl0_36
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f130,f471,f320]) ).
fof(f476,definition,
( spl0_70
<=> c2_1(a6) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f477,plain,
( ~ c2_1(a6)
| spl0_70 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f478,plain,
( ~ spl0_29
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f129,f476,f294]) ).
fof(f481,definition,
( spl0_71
<=> c0_1(a7) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f482,plain,
( ~ c0_1(a7)
| spl0_71 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f483,plain,
( ~ spl0_46
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f128,f481,f362]) ).
fof(f486,definition,
( spl0_72
<=> c2_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f487,plain,
( ~ c2_1(a9)
| spl0_72 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f488,plain,
( ~ spl0_34
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f127,f486,f312]) ).
fof(f490,definition,
( spl0_73
<=> c1_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f491,plain,
( ~ c1_1(a9)
| spl0_73 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f492,plain,
( ~ spl0_34
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f126,f490,f312]) ).
fof(f494,definition,
( spl0_74
<=> c0_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f495,plain,
( ~ c0_1(a9)
| spl0_74 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f496,plain,
( ~ spl0_34
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f125,f494,f312]) ).
fof(f499,definition,
( spl0_75
<=> c3_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f500,plain,
( ~ c3_1(a10)
| spl0_75 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f501,plain,
( ~ spl0_43
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f124,f499,f351]) ).
fof(f503,definition,
( spl0_76
<=> c1_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f504,plain,
( ~ c1_1(a10)
| spl0_76 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f505,plain,
( ~ spl0_43
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f123,f503,f351]) ).
fof(f508,definition,
( spl0_77
<=> c3_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f509,plain,
( ~ c3_1(a12)
| spl0_77 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f510,plain,
( ~ spl0_42
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f122,f508,f347]) ).
fof(f513,definition,
( spl0_78
<=> c0_1(a13) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f514,plain,
( ~ c0_1(a13)
| spl0_78 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f515,plain,
( ~ spl0_37
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f121,f513,f324]) ).
fof(f518,definition,
( spl0_79
<=> c3_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f520,plain,
( ~ spl0_39
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f120,f518,f333]) ).
fof(f522,definition,
( spl0_80
<=> c2_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f523,plain,
( ~ c2_1(a15)
| spl0_80 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f524,plain,
( ~ spl0_39
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f119,f522,f333]) ).
fof(f526,definition,
( spl0_81
<=> c1_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f527,plain,
( ~ c1_1(a15)
| spl0_81 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f528,plain,
( ~ spl0_39
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f118,f526,f333]) ).
fof(f535,definition,
( spl0_83
<=> c0_1(a17) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f536,plain,
( ~ c0_1(a17)
| spl0_83 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f537,plain,
( ~ spl0_41
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f116,f535,f343]) ).
fof(f540,definition,
( spl0_84
<=> c3_1(a21) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f541,plain,
( ~ c3_1(a21)
| spl0_84 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f542,plain,
( ~ spl0_61
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f115,f540,f424]) ).
fof(f544,definition,
( spl0_85
<=> c2_1(a21) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f545,plain,
( ~ c2_1(a21)
| spl0_85 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f546,plain,
( ~ spl0_61
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f114,f544,f424]) ).
fof(f549,definition,
( spl0_86
<=> c2_1(a24) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f550,plain,
( ~ c2_1(a24)
| spl0_86 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f551,plain,
( ~ spl0_24
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f113,f549,f277]) ).
fof(f563,definition,
( spl0_89
<=> c0_1(a28) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f564,plain,
( ~ c0_1(a28)
| spl0_89 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f565,plain,
( ~ spl0_53
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f110,f563,f390]) ).
fof(f568,definition,
( spl0_90
<=> c3_1(a29) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f569,plain,
( ~ c3_1(a29)
| spl0_90 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f570,plain,
( ~ spl0_26
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f109,f568,f284]) ).
fof(f572,definition,
( spl0_91
<=> c2_1(a29) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f573,plain,
( ~ c2_1(a29)
| spl0_91 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f574,plain,
( ~ spl0_26
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f108,f572,f284]) ).
fof(f577,definition,
( spl0_92
<=> c1_1(a30) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f578,plain,
( ~ c1_1(a30)
| spl0_92 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f579,plain,
( ~ spl0_62
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f107,f577,f429]) ).
fof(f582,definition,
( spl0_93
<=> c3_1(a32) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f583,plain,
( ~ c3_1(a32)
| spl0_93 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f584,plain,
( ~ spl0_21
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f106,f582,f267]) ).
fof(f587,definition,
( spl0_94
<=> c3_1(a33) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f588,plain,
( ~ c3_1(a33)
| spl0_94 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f589,plain,
( ~ spl0_58
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f105,f587,f409]) ).
fof(f592,definition,
( spl0_95
<=> c3_1(a35) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f593,plain,
( ~ c3_1(a35)
| spl0_95 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f594,plain,
( ~ spl0_55
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f104,f592,f398]) ).
fof(f596,definition,
( spl0_96
<=> c0_1(a35) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f597,plain,
( ~ c0_1(a35)
| spl0_96 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f598,plain,
( ~ spl0_55
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f103,f596,f398]) ).
fof(f606,definition,
( spl0_98
<=> c3_1(a39) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f607,plain,
( ~ c3_1(a39)
| spl0_98 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f608,plain,
( ~ spl0_20
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f101,f606,f263]) ).
fof(f610,definition,
( spl0_99
<=> c0_1(a39) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f611,plain,
( ~ c0_1(a39)
| spl0_99 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f612,plain,
( ~ spl0_20
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f100,f610,f263]) ).
fof(f637,definition,
( spl0_105
<=> c2_1(a52) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f638,plain,
( ~ c2_1(a52)
| spl0_105 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f639,plain,
( ~ spl0_52
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f94,f637,f387]) ).
fof(f641,definition,
( spl0_106
<=> c0_1(a52) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f643,plain,
( ~ spl0_52
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f93,f641,f387]) ).
fof(f646,definition,
( spl0_107
<=> c1_1(a54) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f647,plain,
( ~ c1_1(a54)
| spl0_107 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f648,plain,
( ~ spl0_50
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f92,f646,f378]) ).
fof(f651,definition,
( spl0_108
<=> c3_1(a57) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f652,plain,
( ~ c3_1(a57)
| spl0_108 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f653,plain,
( ~ spl0_54
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f91,f651,f394]) ).
fof(f655,definition,
( spl0_109
<=> c1_1(a57) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f656,plain,
( ~ c1_1(a57)
| spl0_109 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f657,plain,
( ~ spl0_54
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f90,f655,f394]) ).
fof(f672,definition,
( spl0_113
<=> c0_1(a1) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f673,plain,
( c0_1(a1)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f674,plain,
( spl0_113
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f86,f358,f672]) ).
fof(f684,definition,
( spl0_116
<=> c2_1(a5) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f685,plain,
( c2_1(a5)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f686,plain,
( spl0_116
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f83,f320,f684]) ).
fof(f688,definition,
( spl0_117
<=> c3_1(a6) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f689,plain,
( c3_1(a6)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f690,plain,
( spl0_117
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f82,f294,f688]) ).
fof(f692,definition,
( spl0_118
<=> c0_1(a6) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f693,plain,
( c0_1(a6)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f694,plain,
( spl0_118
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f81,f294,f692]) ).
fof(f700,definition,
( spl0_120
<=> c1_1(a7) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f701,plain,
( c1_1(a7)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f702,plain,
( spl0_120
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f79,f362,f700]) ).
fof(f704,definition,
( spl0_121
<=> c2_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f705,plain,
( c2_1(a10)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f706,plain,
( spl0_121
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f78,f351,f704]) ).
fof(f708,definition,
( spl0_122
<=> c1_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f709,plain,
( c1_1(a12)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f710,plain,
( spl0_122
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f77,f347,f708]) ).
fof(f712,definition,
( spl0_123
<=> c0_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f714,plain,
( spl0_123
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f76,f347,f712]) ).
fof(f716,definition,
( spl0_124
<=> c2_1(a13) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f717,plain,
( c2_1(a13)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f718,plain,
( spl0_124
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f75,f324,f716]) ).
fof(f720,definition,
( spl0_125
<=> c1_1(a13) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f721,plain,
( c1_1(a13)
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f722,plain,
( spl0_125
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f74,f324,f720]) ).
fof(f724,definition,
( spl0_126
<=> c1_1(a17) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f725,plain,
( c1_1(a17)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f726,plain,
( spl0_126
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f73,f343,f724]) ).
fof(f728,definition,
( spl0_127
<=> c0_1(a21) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f729,plain,
( c0_1(a21)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f730,plain,
( spl0_127
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f72,f424,f728]) ).
fof(f732,definition,
( spl0_128
<=> c3_1(a24) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f733,plain,
( c3_1(a24)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f734,plain,
( spl0_128
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f71,f277,f732]) ).
fof(f736,definition,
( spl0_129
<=> c1_1(a24) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f737,plain,
( c1_1(a24)
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f738,plain,
( spl0_129
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f70,f277,f736]) ).
fof(f744,definition,
( spl0_131
<=> c3_1(a28) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f745,plain,
( c3_1(a28)
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f746,plain,
( spl0_131
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f68,f390,f744]) ).
fof(f748,definition,
( spl0_132
<=> c2_1(a28) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f749,plain,
( c2_1(a28)
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f750,plain,
( spl0_132
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f67,f390,f748]) ).
fof(f752,definition,
( spl0_133
<=> c1_1(a29) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f753,plain,
( c1_1(a29)
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f754,plain,
( spl0_133
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f66,f284,f752]) ).
fof(f756,definition,
( spl0_134
<=> c3_1(a30) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f757,plain,
( c3_1(a30)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f758,plain,
( spl0_134
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f65,f429,f756]) ).
fof(f760,definition,
( spl0_135
<=> c2_1(a30) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f761,plain,
( c2_1(a30)
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f762,plain,
( spl0_135
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f64,f429,f760]) ).
fof(f768,definition,
( spl0_137
<=> c0_1(a32) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f769,plain,
( c0_1(a32)
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f770,plain,
( spl0_137
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f62,f267,f768]) ).
fof(f776,definition,
( spl0_139
<=> c1_1(a33) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f778,plain,
( spl0_139
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f60,f409,f776]) ).
fof(f780,definition,
( spl0_140
<=> c1_1(a35) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f781,plain,
( c1_1(a35)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f782,plain,
( spl0_140
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f59,f398,f780]) ).
fof(f792,definition,
( spl0_143
<=> c2_1(a39) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f793,plain,
( c2_1(a39)
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f794,plain,
( spl0_143
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f56,f263,f792]) ).
fof(f800,definition,
( spl0_145
<=> c3_1(a52) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f801,plain,
( c3_1(a52)
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f802,plain,
( spl0_145
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f54,f387,f800]) ).
fof(f804,definition,
( spl0_146
<=> c3_1(a54) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f805,plain,
( c3_1(a54)
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f806,plain,
( spl0_146
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f53,f378,f804]) ).
fof(f808,definition,
( spl0_147
<=> c0_1(a54) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f809,plain,
( c0_1(a54)
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f810,plain,
( spl0_147
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f52,f378,f808]) ).
fof(f816,definition,
( spl0_149
<=> c2_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f817,plain,
( c2_1(a2)
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f819,plain,
( spl0_149
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f50,f316,f816]) ).
fof(f821,definition,
( spl0_150
<=> c1_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f822,plain,
( c1_1(a2)
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f823,plain,
( spl0_150
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f49,f316,f821]) ).
fof(f825,definition,
( spl0_151
<=> c0_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f826,plain,
( c0_1(a2)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f827,plain,
( spl0_151
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f48,f316,f825]) ).
fof(f842,definition,
( spl0_155
<=> c3_1(a20) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f843,plain,
( c3_1(a20)
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f845,plain,
( spl0_155
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f44,f308,f842]) ).
fof(f847,definition,
( spl0_156
<=> c2_1(a20) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f848,plain,
( c2_1(a20)
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f849,plain,
( spl0_156
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f43,f308,f847]) ).
fof(f851,definition,
( spl0_157
<=> c0_1(a20) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f852,plain,
( c0_1(a20)
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f853,plain,
( spl0_157
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f42,f308,f851]) ).
fof(f855,definition,
( spl0_158
<=> c3_1(a76) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f856,plain,
( c3_1(a76)
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f858,plain,
( spl0_158
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f41,f383,f855]) ).
fof(f860,definition,
( spl0_159
<=> c1_1(a76) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f861,plain,
( c1_1(a76)
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f862,plain,
( spl0_159
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f40,f383,f860]) ).
fof(f864,definition,
( spl0_160
<=> c0_1(a76) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f865,plain,
( c0_1(a76)
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f866,plain,
( spl0_160
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f39,f383,f864]) ).
fof(f867,plain,
( spl0_34
| spl0_52
| spl0_20 ),
inference(avatar_split_clause,[],[f38,f263,f387,f312]) ).
fof(f872,plain,
( spl0_52
| spl0_24
| spl0_51 ),
inference(avatar_split_clause,[],[f33,f383,f277,f387]) ).
fof(f886,plain,
( spl0_3
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f20,f277,f204]) ).
fof(f898,plain,
( spl0_3
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f8,f387,f204]) ).
fof(f905,plain,
( spl0_3
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1,f383,f204]) ).
fof(f906,plain,
( ~ c0_1(a24)
| ~ c1_1(a24)
| ~ spl0_2
| ~ spl0_128 ),
inference(resolution,[],[f202,f733]) ).
fof(f907,plain,
( ~ c0_1(a24)
| ~ spl0_2
| ~ spl0_128
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f906,f737]) ).
fof(f910,plain,
( ~ c3_1(a9)
| c0_1(a9)
| ~ spl0_5
| spl0_72 ),
inference(resolution,[],[f212,f487]) ).
fof(f911,plain,
( ~ c3_1(a24)
| c0_1(a24)
| ~ spl0_5
| spl0_86 ),
inference(resolution,[],[f212,f550]) ).
fof(f914,plain,
( c0_1(a24)
| ~ spl0_5
| spl0_86
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f911,f733]) ).
fof(f916,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| spl0_86
| ~ spl0_128
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f914,f907]) ).
fof(f917,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_86
| ~ spl0_128
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f916]) ).
fof(f919,plain,
( c0_1(a13)
| ~ c1_1(a13)
| ~ spl0_6
| ~ spl0_124 ),
inference(resolution,[],[f215,f717]) ).
fof(f930,plain,
( ~ c1_1(a24)
| c0_1(a24)
| ~ spl0_8
| spl0_86 ),
inference(resolution,[],[f222,f550]) ).
fof(f934,plain,
( c0_1(a24)
| ~ spl0_8
| spl0_86
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f930,f737]) ).
fof(f936,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| spl0_86
| ~ spl0_128
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f934,f907]) ).
fof(f937,plain,
( ~ spl0_2
| ~ spl0_8
| spl0_86
| ~ spl0_128
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f936]) ).
fof(f938,plain,
( ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1) )
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f225,f202]) ).
fof(f941,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1) )
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f236,f202]) ).
fof(f942,plain,
( ~ c1_1(a24)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_128 ),
inference(resolution,[],[f941,f733]) ).
fof(f943,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| ~ spl0_128
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f942,f737]) ).
fof(f944,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_128
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f943]) ).
fof(f968,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f239,f225]) ).
fof(f970,plain,
( ~ c0_1(a32)
| ~ spl0_9
| ~ spl0_13
| spl0_93 ),
inference(resolution,[],[f968,f583]) ).
fof(f971,plain,
( ~ c0_1(a21)
| ~ spl0_9
| ~ spl0_13
| spl0_84 ),
inference(resolution,[],[f968,f541]) ).
fof(f977,plain,
( $false
| ~ spl0_9
| ~ spl0_13
| spl0_93
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f970,f769]) ).
fof(f978,plain,
( ~ spl0_9
| ~ spl0_13
| spl0_93
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f979,plain,
( ~ c1_1(a13)
| ~ spl0_6
| spl0_78
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f919,f514]) ).
fof(f982,definition,
( spl0_161
<=> c3_1(a13) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f983,plain,
( ~ c3_1(a13)
| spl0_161 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f985,plain,
( ~ spl0_125
| ~ spl0_6
| spl0_78
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f979,f716,f513,f214,f720]) ).
fof(f986,plain,
( ~ c0_1(a12)
| ~ c1_1(a12)
| ~ spl0_9
| spl0_77 ),
inference(resolution,[],[f509,f225]) ).
fof(f995,plain,
( c0_1(a28)
| ~ c1_1(a28)
| ~ spl0_6
| ~ spl0_132 ),
inference(resolution,[],[f215,f749]) ).
fof(f999,plain,
( ~ c1_1(a28)
| ~ spl0_6
| spl0_89
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[],[f995,f564]) ).
fof(f1000,plain,
( ! [X2] :
( ~ c1_1(X2)
| c0_1(X2) )
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f222,f215]) ).
fof(f1003,plain,
( c0_1(a17)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_126 ),
inference(resolution,[],[f1000,f725]) ).
fof(f1005,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| spl0_83
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f1003,f536]) ).
fof(f1006,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_83
| ~ spl0_126 ),
inference(avatar_contradiction_clause,[],[f1005]) ).
fof(f1009,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f202,f199]) ).
fof(f1018,plain,
( c3_1(a15)
| c1_1(a15)
| ~ spl0_10
| spl0_80 ),
inference(resolution,[],[f229,f523]) ).
fof(f1019,plain,
( c3_1(a9)
| c1_1(a9)
| ~ spl0_10
| spl0_72 ),
inference(resolution,[],[f229,f487]) ).
fof(f1020,plain,
( c3_1(a9)
| ~ spl0_10
| spl0_72
| spl0_73 ),
inference(forward_subsumption_resolution,[],[f1019,f491]) ).
fof(f1028,plain,
( c3_1(a39)
| c0_1(a39)
| ~ spl0_14
| ~ spl0_143 ),
inference(resolution,[],[f243,f793]) ).
fof(f1035,plain,
( c0_1(a39)
| ~ spl0_14
| spl0_98
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f1028,f607]) ).
fof(f1036,plain,
( $false
| ~ spl0_14
| spl0_98
| spl0_99
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f1035,f611]) ).
fof(f1037,plain,
( ~ spl0_14
| spl0_98
| spl0_99
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f1036]) ).
fof(f1038,plain,
( ! [X2] :
( ~ c2_1(X2)
| c0_1(X2) )
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f260,f215]) ).
fof(f1039,plain,
( c0_1(a39)
| ~ spl0_6
| ~ spl0_19
| ~ spl0_143 ),
inference(resolution,[],[f1038,f793]) ).
fof(f1050,plain,
( $false
| ~ spl0_6
| ~ spl0_19
| spl0_99
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f1039,f611]) ).
fof(f1051,plain,
( ~ spl0_6
| ~ spl0_19
| spl0_99
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f1050]) ).
fof(f1070,plain,
( c3_1(a1)
| c1_1(a1)
| ~ spl0_10
| spl0_65 ),
inference(resolution,[],[f229,f454]) ).
fof(f1073,plain,
( c3_1(a1)
| ~ spl0_10
| spl0_65
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f1070,f458]) ).
fof(f1107,definition,
( spl0_162
<=> c1_1(a52) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f1116,plain,
( c0_1(a52)
| c1_1(a52)
| ~ spl0_16
| spl0_105 ),
inference(resolution,[],[f250,f638]) ).
fof(f1122,plain,
( c0_1(a15)
| c1_1(a15)
| ~ spl0_16
| spl0_80 ),
inference(resolution,[],[f250,f523]) ).
fof(f1123,plain,
( c0_1(a9)
| c1_1(a9)
| ~ spl0_16
| spl0_72 ),
inference(resolution,[],[f250,f487]) ).
fof(f1126,plain,
( c1_1(a9)
| ~ spl0_16
| spl0_72
| spl0_74 ),
inference(forward_subsumption_resolution,[],[f1123,f495]) ).
fof(f1132,plain,
( ! [X1] :
( ~ c2_1(X1)
| c0_1(X1) )
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f253,f243]) ).
fof(f1136,plain,
( c0_1(a13)
| ~ spl0_14
| ~ spl0_17
| ~ spl0_124 ),
inference(resolution,[],[f1132,f717]) ).
fof(f1137,plain,
( c0_1(a5)
| ~ spl0_14
| ~ spl0_17
| ~ spl0_116 ),
inference(resolution,[],[f1132,f685]) ).
fof(f1138,plain,
( $false
| ~ spl0_14
| ~ spl0_17
| spl0_69
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[],[f1137,f472]) ).
fof(f1139,plain,
( ~ spl0_14
| ~ spl0_17
| spl0_69
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f1138]) ).
fof(f1140,plain,
( $false
| ~ spl0_14
| ~ spl0_17
| spl0_78
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f1136,f514]) ).
fof(f1141,plain,
( ~ spl0_14
| ~ spl0_17
| spl0_78
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1147,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f256,f218]) ).
fof(f1150,plain,
( ~ c1_1(a24)
| ~ spl0_7
| ~ spl0_18
| ~ spl0_128 ),
inference(resolution,[],[f1147,f733]) ).
fof(f1157,plain,
( $false
| ~ spl0_7
| ~ spl0_18
| ~ spl0_128
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f1150,f737]) ).
fof(f1158,plain,
( ~ spl0_7
| ~ spl0_18
| ~ spl0_128
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f1157]) ).
fof(f1160,plain,
( c1_1(a54)
| ~ c0_1(a54)
| ~ spl0_1
| ~ spl0_146 ),
inference(resolution,[],[f805,f199]) ).
fof(f1161,plain,
( ~ c0_1(a54)
| ~ spl0_1
| spl0_107
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f1160,f647]) ).
fof(f1163,plain,
( c1_1(a1)
| ~ c0_1(a1)
| ~ spl0_1
| ~ spl0_10
| spl0_65
| spl0_66 ),
inference(resolution,[],[f1073,f199]) ).
fof(f1164,plain,
( ~ c0_1(a1)
| ~ spl0_1
| ~ spl0_10
| spl0_65
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f1163,f458]) ).
fof(f1167,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| spl0_65
| spl0_66
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f1164,f673]) ).
fof(f1168,plain,
( ~ spl0_1
| ~ spl0_10
| spl0_65
| spl0_66
| ~ spl0_113 ),
inference(avatar_contradiction_clause,[],[f1167]) ).
fof(f1173,plain,
( ! [X0] :
( c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f239,f1009]) ).
fof(f1176,definition,
( spl0_163
<=> c1_1(a6) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f1177,plain,
( c1_1(a6)
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1187,plain,
( ~ c0_1(a6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_117 ),
inference(resolution,[],[f689,f1009]) ).
fof(f1188,plain,
( c1_1(a6)
| ~ c0_1(a6)
| ~ spl0_1
| ~ spl0_117 ),
inference(resolution,[],[f689,f199]) ).
fof(f1191,plain,
( ~ spl0_118
| ~ spl0_1
| ~ spl0_2
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1187,f688,f201,f198,f692]) ).
fof(f1197,plain,
( ! [X0] :
( c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f239,f199]) ).
fof(f1202,plain,
( ~ c3_1(a2)
| ~ c0_1(a2)
| ~ spl0_4
| ~ spl0_149 ),
inference(resolution,[],[f817,f208]) ).
fof(f1205,definition,
( spl0_166
<=> c3_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1206,plain,
( ~ c3_1(a2)
| spl0_166 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f1236,plain,
( c0_1(a7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_120 ),
inference(resolution,[],[f1000,f701]) ).
fof(f1238,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| spl0_71
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[],[f1236,f482]) ).
fof(f1239,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_71
| ~ spl0_120 ),
inference(avatar_contradiction_clause,[],[f1238]) ).
fof(f1252,plain,
( ~ c0_1(a54)
| ~ spl0_1
| ~ spl0_13
| spl0_107 ),
inference(resolution,[],[f1197,f647]) ).
fof(f1258,plain,
( $false
| ~ spl0_1
| ~ spl0_13
| spl0_107
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f1252,f809]) ).
fof(f1259,plain,
( ~ spl0_1
| ~ spl0_13
| spl0_107
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f1258]) ).
fof(f1261,plain,
( c1_1(a30)
| ~ c0_1(a30)
| ~ spl0_1
| ~ spl0_134 ),
inference(resolution,[],[f757,f199]) ).
fof(f1265,plain,
( ~ c3_1(a2)
| ~ c1_1(a2)
| ~ spl0_7
| ~ spl0_149 ),
inference(resolution,[],[f218,f817]) ).
fof(f1277,plain,
( c0_1(a9)
| ~ spl0_5
| ~ spl0_10
| spl0_72
| spl0_73 ),
inference(forward_subsumption_resolution,[],[f910,f1020]) ).
fof(f1280,plain,
( $false
| ~ spl0_1
| spl0_107
| ~ spl0_146
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f1161,f809]) ).
fof(f1281,plain,
( ~ spl0_1
| spl0_107
| ~ spl0_146
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f1280]) ).
fof(f1283,plain,
( ~ c0_1(a30)
| ~ spl0_1
| spl0_92
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f1261,f578]) ).
fof(f1284,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| spl0_72
| spl0_73
| spl0_74 ),
inference(forward_subsumption_resolution,[],[f1277,f495]) ).
fof(f1285,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_72
| spl0_73
| spl0_74 ),
inference(avatar_contradiction_clause,[],[f1284]) ).
fof(f1313,definition,
( spl0_168
<=> c0_1(a24) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1316,plain,
( spl0_168
| ~ spl0_128
| ~ spl0_5
| spl0_86 ),
inference(avatar_split_clause,[],[f911,f549,f211,f732,f1313]) ).
fof(f1340,plain,
( ~ c3_1(a2)
| ~ spl0_4
| ~ spl0_149
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f1202,f826]) ).
fof(f1354,plain,
( ~ spl0_166
| ~ spl0_4
| ~ spl0_149
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1340,f825,f816,f207,f1205]) ).
fof(f1487,plain,
( ! [X1] :
( c2_1(X1)
| c3_1(X1) )
| ~ spl0_10
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f281,f229]) ).
fof(f1493,plain,
( c3_1(a21)
| ~ spl0_10
| ~ spl0_25
| spl0_85 ),
inference(resolution,[],[f1487,f545]) ).
fof(f1497,plain,
( $false
| ~ spl0_10
| ~ spl0_25
| spl0_84
| spl0_85 ),
inference(forward_subsumption_resolution,[],[f1493,f541]) ).
fof(f1498,plain,
( ~ spl0_10
| ~ spl0_25
| spl0_84
| spl0_85 ),
inference(avatar_contradiction_clause,[],[f1497]) ).
fof(f1538,plain,
( ! [X1] : ~ c0_1(X1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f938,f1173]) ).
fof(f1568,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_157 ),
inference(resolution,[],[f1538,f852]) ).
fof(f1579,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f1568]) ).
fof(f1618,plain,
( ~ spl0_127
| ~ spl0_9
| ~ spl0_13
| spl0_84 ),
inference(avatar_split_clause,[],[f971,f540,f238,f224,f728]) ).
fof(f1621,plain,
( ~ c0_1(a2)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_150 ),
inference(resolution,[],[f938,f822]) ).
fof(f1636,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_150
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f1621,f826]) ).
fof(f1637,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_150
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f1636]) ).
fof(f1638,plain,
( spl0_73
| ~ spl0_16
| spl0_72
| spl0_74 ),
inference(avatar_split_clause,[],[f1126,f494,f486,f249,f490]) ).
fof(f1641,plain,
( c0_1(a15)
| ~ spl0_16
| spl0_80
| spl0_81 ),
inference(forward_subsumption_resolution,[],[f1122,f527]) ).
fof(f1690,plain,
( ~ c3_1(a20)
| ~ c0_1(a20)
| ~ spl0_4
| ~ spl0_156 ),
inference(resolution,[],[f208,f848]) ).
fof(f1703,plain,
( ~ c0_1(a20)
| ~ spl0_4
| ~ spl0_155
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f1690,f843]) ).
fof(f1704,plain,
( $false
| ~ spl0_4
| ~ spl0_155
| ~ spl0_156
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f1703,f852]) ).
fof(f1705,plain,
( ~ spl0_4
| ~ spl0_155
| ~ spl0_156
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f1704]) ).
fof(f1709,plain,
( ~ c3_1(a52)
| c0_1(a52)
| ~ spl0_5
| spl0_105 ),
inference(resolution,[],[f212,f638]) ).
fof(f1720,plain,
( c0_1(a52)
| ~ spl0_5
| spl0_105
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f1709,f801]) ).
fof(f1743,plain,
( ~ spl0_150
| ~ spl0_166
| ~ spl0_7
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1265,f816,f217,f1205,f821]) ).
fof(f1748,plain,
( c3_1(a15)
| ~ spl0_10
| spl0_80
| spl0_81 ),
inference(forward_subsumption_resolution,[],[f1018,f527]) ).
fof(f1761,plain,
( ~ c0_1(a76)
| ~ c1_1(a76)
| ~ spl0_2
| ~ spl0_158 ),
inference(resolution,[],[f202,f856]) ).
fof(f1762,plain,
( ~ c0_1(a20)
| ~ c1_1(a20)
| ~ spl0_2
| ~ spl0_155 ),
inference(resolution,[],[f202,f843]) ).
fof(f1773,plain,
( ~ c1_1(a20)
| ~ spl0_2
| ~ spl0_155
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f1762,f852]) ).
fof(f1774,plain,
( ~ c1_1(a76)
| ~ spl0_2
| ~ spl0_158
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f1761,f865]) ).
fof(f1775,plain,
( $false
| ~ spl0_2
| ~ spl0_158
| ~ spl0_159
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f1774,f861]) ).
fof(f1776,plain,
( ~ spl0_2
| ~ spl0_158
| ~ spl0_159
| ~ spl0_160 ),
inference(avatar_contradiction_clause,[],[f1775]) ).
fof(f1777,plain,
( ~ c3_1(a20)
| ~ c1_1(a20)
| ~ spl0_7
| ~ spl0_156 ),
inference(resolution,[],[f218,f848]) ).
fof(f1785,plain,
( ~ c3_1(a13)
| ~ c1_1(a13)
| ~ spl0_7
| ~ spl0_124 ),
inference(resolution,[],[f218,f717]) ).
fof(f1793,plain,
( ~ c1_1(a20)
| ~ spl0_7
| ~ spl0_155
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f1777,f843]) ).
fof(f1812,plain,
( c1_1(a20)
| ~ c0_1(a20)
| ~ spl0_11
| ~ spl0_156 ),
inference(resolution,[],[f232,f848]) ).
fof(f1839,plain,
( ~ c0_1(a10)
| c1_1(a10)
| ~ spl0_13
| spl0_75 ),
inference(resolution,[],[f239,f500]) ).
fof(f1842,plain,
( ~ c0_1(a10)
| ~ spl0_13
| spl0_75
| spl0_76 ),
inference(forward_subsumption_resolution,[],[f1839,f504]) ).
fof(f1844,definition,
( spl0_174
<=> c0_1(a29) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
fof(f1852,plain,
( c3_1(a21)
| ~ c0_1(a21)
| ~ spl0_15
| spl0_85 ),
inference(resolution,[],[f246,f545]) ).
fof(f1856,plain,
( c3_1(a15)
| ~ c0_1(a15)
| ~ spl0_15
| spl0_80 ),
inference(resolution,[],[f246,f523]) ).
fof(f1864,plain,
( ~ c0_1(a21)
| ~ spl0_15
| spl0_84
| spl0_85 ),
inference(forward_subsumption_resolution,[],[f1852,f541]) ).
fof(f1868,plain,
( $false
| ~ spl0_15
| spl0_84
| spl0_85
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f1864,f729]) ).
fof(f1869,plain,
( ~ spl0_15
| spl0_84
| spl0_85
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f1868]) ).
fof(f1880,plain,
( c0_1(a28)
| ~ c3_1(a28)
| ~ spl0_17
| ~ spl0_132 ),
inference(resolution,[],[f253,f749]) ).
fof(f1893,plain,
( c0_1(a28)
| ~ spl0_17
| ~ spl0_131
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[],[f1880,f745]) ).
fof(f1905,plain,
( c1_1(a30)
| c0_1(a30)
| ~ spl0_19
| ~ spl0_135 ),
inference(resolution,[],[f260,f761]) ).
fof(f1908,plain,
( c1_1(a10)
| c0_1(a10)
| ~ spl0_19
| ~ spl0_121 ),
inference(resolution,[],[f260,f705]) ).
fof(f1912,plain,
( c0_1(a10)
| ~ spl0_19
| spl0_76
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f1908,f504]) ).
fof(f1953,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1) )
| ~ spl0_7
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f288,f218]) ).
fof(f1956,plain,
( ~ c3_1(a20)
| ~ spl0_7
| ~ spl0_27
| ~ spl0_156 ),
inference(resolution,[],[f1953,f848]) ).
fof(f1973,plain,
( $false
| ~ spl0_7
| ~ spl0_27
| ~ spl0_155
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f1956,f843]) ).
fof(f1974,plain,
( ~ spl0_7
| ~ spl0_27
| ~ spl0_155
| ~ spl0_156 ),
inference(avatar_contradiction_clause,[],[f1973]) ).
fof(f1983,plain,
( ~ c0_1(a24)
| ~ c1_1(a24)
| ~ spl0_28
| spl0_86 ),
inference(resolution,[],[f291,f550]) ).
fof(f1996,plain,
( ! [X1] :
( c3_1(X1)
| c1_1(X1) )
| ~ spl0_10
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f298,f229]) ).
fof(f2012,plain,
( c1_1(a57)
| ~ spl0_10
| ~ spl0_30
| spl0_108 ),
inference(resolution,[],[f1996,f652]) ).
fof(f2013,plain,
( $false
| ~ spl0_10
| ~ spl0_30
| spl0_108
| spl0_109 ),
inference(forward_subsumption_resolution,[],[f2012,f656]) ).
fof(f2014,plain,
( ~ spl0_10
| ~ spl0_30
| spl0_108
| spl0_109 ),
inference(avatar_contradiction_clause,[],[f2013]) ).
fof(f2021,definition,
( spl0_177
<=> c0_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
fof(f2022,plain,
( c0_1(a10)
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f2021]) ).
fof(f2110,plain,
( spl0_79
| ~ spl0_10
| spl0_80
| spl0_81 ),
inference(avatar_split_clause,[],[f1748,f526,f522,f228,f518]) ).
fof(f2156,plain,
( ~ c1_1(a35)
| c0_1(a35)
| ~ spl0_44
| spl0_95 ),
inference(resolution,[],[f355,f593]) ).
fof(f2160,plain,
( ~ c1_1(a13)
| c0_1(a13)
| ~ spl0_44
| spl0_161 ),
inference(resolution,[],[f355,f983]) ).
fof(f2165,plain,
( c0_1(a35)
| ~ spl0_44
| spl0_95
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f2156,f781]) ).
fof(f2168,plain,
( $false
| ~ spl0_44
| spl0_95
| spl0_96
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f2165,f597]) ).
fof(f2169,plain,
( ~ spl0_44
| spl0_95
| spl0_96
| ~ spl0_140 ),
inference(avatar_contradiction_clause,[],[f2168]) ).
fof(f2173,definition,
( spl0_179
<=> c1_1(a28) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
fof(f2191,plain,
( ~ c0_1(a24)
| ~ spl0_28
| spl0_86
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f1983,f737]) ).
fof(f2193,plain,
( ~ c1_1(a13)
| ~ spl0_44
| spl0_78
| spl0_161 ),
inference(forward_subsumption_resolution,[],[f2160,f514]) ).
fof(f2196,plain,
( ~ spl0_168
| ~ spl0_28
| spl0_86
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2191,f736,f549,f290,f1313]) ).
fof(f2197,plain,
( ~ spl0_125
| ~ spl0_44
| spl0_78
| spl0_161 ),
inference(avatar_split_clause,[],[f2193,f982,f513,f354,f720]) ).
fof(f2225,plain,
( ~ c0_1(a20)
| ~ spl0_2
| ~ spl0_11
| ~ spl0_155
| ~ spl0_156
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f1812,f1773]) ).
fof(f2231,plain,
( ! [X1] :
( c2_1(X1)
| c3_1(X1) )
| ~ spl0_15
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f366,f246]) ).
fof(f2232,plain,
( $false
| ~ spl0_2
| ~ spl0_11
| ~ spl0_155
| ~ spl0_156
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f2225,f852]) ).
fof(f2233,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_155
| ~ spl0_156
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f2232]) ).
fof(f2238,plain,
( spl0_89
| ~ spl0_17
| ~ spl0_131
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1893,f748,f744,f252,f563]) ).
fof(f2282,plain,
( $false
| ~ spl0_13
| spl0_75
| spl0_76
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[],[f2022,f1842]) ).
fof(f2283,plain,
( ~ spl0_13
| spl0_75
| spl0_76
| ~ spl0_177 ),
inference(avatar_contradiction_clause,[],[f2282]) ).
fof(f2316,plain,
( ! [X1] :
( c3_1(X1)
| ~ c1_1(X1) )
| ~ spl0_9
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f225,f355]) ).
fof(f2317,plain,
( ~ c0_1(a12)
| ~ spl0_9
| spl0_77
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f986,f709]) ).
fof(f2323,plain,
( ! [X1] :
( ~ c1_1(X1)
| c0_1(X1) )
| ~ spl0_12
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f236,f355]) ).
fof(f2326,plain,
( ~ spl0_123
| ~ spl0_9
| spl0_77
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2317,f708,f508,f224,f712]) ).
fof(f2330,plain,
( ~ c0_1(a2)
| ~ spl0_9
| ~ spl0_13
| spl0_166 ),
inference(resolution,[],[f968,f1206]) ).
fof(f2338,plain,
( $false
| ~ spl0_9
| ~ spl0_13
| ~ spl0_151
| spl0_166 ),
inference(forward_subsumption_resolution,[],[f2330,f826]) ).
fof(f2339,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_151
| spl0_166 ),
inference(avatar_contradiction_clause,[],[f2338]) ).
fof(f2341,plain,
( ~ c1_1(a33)
| ~ spl0_9
| ~ spl0_44
| spl0_94 ),
inference(resolution,[],[f2316,f588]) ).
fof(f2379,plain,
( ~ c1_1(a52)
| c0_1(a52)
| ~ spl0_8
| spl0_105 ),
inference(resolution,[],[f222,f638]) ).
fof(f2394,plain,
( c0_1(a28)
| ~ c1_1(a28)
| ~ spl0_12
| ~ spl0_131 ),
inference(resolution,[],[f236,f745]) ).
fof(f2400,plain,
( ~ c1_1(a28)
| ~ spl0_12
| spl0_89
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f2394,f564]) ).
fof(f2403,definition,
( spl0_180
<=> c1_1(a20) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
fof(f2406,plain,
( ~ spl0_179
| ~ spl0_12
| spl0_89
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2400,f744,f563,f235,f2173]) ).
fof(f2419,plain,
( ~ c1_1(a24)
| ~ c3_1(a24)
| ~ spl0_18
| spl0_86 ),
inference(resolution,[],[f256,f550]) ).
fof(f2420,plain,
( ~ c1_1(a6)
| ~ c3_1(a6)
| ~ spl0_18
| spl0_70 ),
inference(resolution,[],[f256,f477]) ).
fof(f2425,plain,
( ~ c3_1(a24)
| ~ spl0_18
| spl0_86
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f2419,f737]) ).
fof(f2428,plain,
( $false
| ~ spl0_18
| spl0_86
| ~ spl0_128
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f2425,f733]) ).
fof(f2429,plain,
( ~ spl0_18
| spl0_86
| ~ spl0_128
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f2428]) ).
fof(f2461,plain,
( ~ c0_1(a2)
| ~ c1_1(a2)
| ~ spl0_9
| spl0_166 ),
inference(resolution,[],[f225,f1206]) ).
fof(f2473,plain,
( ~ c1_1(a2)
| ~ spl0_9
| ~ spl0_151
| spl0_166 ),
inference(forward_subsumption_resolution,[],[f2461,f826]) ).
fof(f2477,plain,
( c1_1(a6)
| ~ spl0_1
| ~ spl0_117
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f1188,f693]) ).
fof(f2486,plain,
( ~ spl0_179
| ~ spl0_6
| spl0_89
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f999,f748,f563,f214,f2173]) ).
fof(f2504,plain,
( ~ spl0_139
| ~ spl0_9
| ~ spl0_44
| spl0_94 ),
inference(avatar_split_clause,[],[f2341,f587,f354,f224,f776]) ).
fof(f2507,plain,
( ~ spl0_150
| ~ spl0_9
| ~ spl0_151
| spl0_166 ),
inference(avatar_split_clause,[],[f2473,f1205,f825,f224,f821]) ).
fof(f2510,plain,
( spl0_163
| ~ spl0_1
| ~ spl0_117
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2477,f692,f688,f198,f1176]) ).
fof(f2516,plain,
( spl0_162
| spl0_106
| ~ spl0_16
| spl0_105 ),
inference(avatar_split_clause,[],[f1116,f637,f249,f641,f1107]) ).
fof(f2553,plain,
( c1_1(a20)
| ~ c0_1(a20)
| ~ spl0_1
| ~ spl0_155 ),
inference(resolution,[],[f199,f843]) ).
fof(f2565,plain,
( ~ spl0_157
| spl0_180
| ~ spl0_1
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f2553,f842,f198,f2403,f851]) ).
fof(f2623,plain,
( c1_1(a30)
| ~ c3_1(a30)
| ~ spl0_27
| ~ spl0_135 ),
inference(resolution,[],[f288,f761]) ).
fof(f2624,plain,
( c1_1(a28)
| ~ c3_1(a28)
| ~ spl0_27
| ~ spl0_132 ),
inference(resolution,[],[f288,f749]) ).
fof(f2629,plain,
( c1_1(a28)
| ~ spl0_27
| ~ spl0_131
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[],[f2624,f745]) ).
fof(f2630,plain,
( ~ c3_1(a30)
| ~ spl0_27
| spl0_92
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f2623,f578]) ).
fof(f2634,plain,
( spl0_179
| ~ spl0_27
| ~ spl0_131
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f2629,f748,f744,f287,f2173]) ).
fof(f2635,plain,
( $false
| ~ spl0_27
| spl0_92
| ~ spl0_134
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f2630,f757]) ).
fof(f2636,plain,
( ~ spl0_27
| spl0_92
| ~ spl0_134
| ~ spl0_135 ),
inference(avatar_contradiction_clause,[],[f2635]) ).
fof(f2649,plain,
( ~ c0_1(a29)
| ~ c1_1(a29)
| ~ spl0_9
| spl0_90 ),
inference(resolution,[],[f569,f225]) ).
fof(f2651,plain,
( ~ c1_1(a29)
| c0_1(a29)
| ~ spl0_8
| spl0_91 ),
inference(resolution,[],[f573,f222]) ).
fof(f2692,plain,
( c0_1(a30)
| ~ spl0_19
| spl0_92
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f1905,f578]) ).
fof(f2697,plain,
( spl0_177
| ~ spl0_19
| spl0_76
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1912,f704,f503,f259,f2021]) ).
fof(f2702,plain,
( ~ spl0_133
| ~ spl0_174
| ~ spl0_9
| spl0_90 ),
inference(avatar_split_clause,[],[f2649,f568,f224,f1844,f752]) ).
fof(f2708,plain,
( $false
| ~ spl0_1
| ~ spl0_19
| spl0_92
| ~ spl0_134
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f2692,f1283]) ).
fof(f2709,plain,
( ~ spl0_1
| ~ spl0_19
| spl0_92
| ~ spl0_134
| ~ spl0_135 ),
inference(avatar_contradiction_clause,[],[f2708]) ).
fof(f2713,plain,
( spl0_106
| ~ spl0_162
| ~ spl0_8
| spl0_105 ),
inference(avatar_split_clause,[],[f2379,f637,f221,f1107,f641]) ).
fof(f2715,plain,
( spl0_174
| ~ spl0_133
| ~ spl0_8
| spl0_91 ),
inference(avatar_split_clause,[],[f2651,f572,f221,f752,f1844]) ).
fof(f2741,plain,
( ~ spl0_125
| ~ spl0_161
| ~ spl0_7
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1785,f716,f217,f982,f720]) ).
fof(f2742,plain,
( ~ spl0_180
| ~ spl0_7
| ~ spl0_155
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1793,f847,f842,f217,f2403]) ).
fof(f2744,plain,
( spl0_106
| ~ spl0_5
| spl0_105
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1720,f800,f637,f211,f641]) ).
fof(f2746,plain,
( c3_1(a15)
| ~ spl0_15
| ~ spl0_16
| spl0_80
| spl0_81 ),
inference(forward_subsumption_resolution,[],[f1856,f1641]) ).
fof(f2747,plain,
( spl0_79
| ~ spl0_15
| ~ spl0_16
| spl0_80
| spl0_81 ),
inference(avatar_split_clause,[],[f2746,f526,f522,f249,f245,f518]) ).
fof(f2751,plain,
( ~ c3_1(a6)
| ~ spl0_18
| spl0_70
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f2420,f1177]) ).
fof(f2765,plain,
( $false
| ~ spl0_18
| spl0_70
| ~ spl0_117
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f2751,f689]) ).
fof(f2766,plain,
( ~ spl0_18
| spl0_70
| ~ spl0_117
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f2765]) ).
fof(f2777,plain,
( c3_1(a29)
| ~ spl0_15
| ~ spl0_47
| spl0_91 ),
inference(resolution,[],[f2231,f573]) ).
fof(f2784,plain,
( $false
| ~ spl0_15
| ~ spl0_47
| spl0_90
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f2777,f569]) ).
fof(f2785,plain,
( ~ spl0_15
| ~ spl0_47
| spl0_90
| spl0_91 ),
inference(avatar_contradiction_clause,[],[f2784]) ).
fof(f2797,plain,
( c0_1(a29)
| ~ spl0_12
| ~ spl0_44
| ~ spl0_133 ),
inference(resolution,[],[f2323,f753]) ).
fof(f2800,plain,
( c0_1(a13)
| ~ spl0_12
| ~ spl0_44
| ~ spl0_125 ),
inference(resolution,[],[f2323,f721]) ).
fof(f2804,plain,
( $false
| ~ spl0_12
| ~ spl0_44
| spl0_78
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f2800,f514]) ).
fof(f2805,plain,
( ~ spl0_12
| ~ spl0_44
| spl0_78
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f2804]) ).
fof(f2806,plain,
( spl0_174
| ~ spl0_12
| ~ spl0_44
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f2797,f752,f354,f235,f1844]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f209]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f219]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_6
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f240]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_9
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f247]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_16
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f257]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_8
| spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f261]) ).
cnf(s9,plain,
( spl0_2
| ~ spl0_3
| spl0_4
| spl0_20 ),
inference(sat_conversion,[],[f265]) ).
cnf(s12,plain,
( ~ spl0_3
| spl0_26
| spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f292]) ).
cnf(s15,plain,
( ~ spl0_3
| spl0_6
| spl0_9
| spl0_33 ),
inference(sat_conversion,[],[f310]) ).
cnf(s16,plain,
( spl0_2
| ~ spl0_3
| spl0_5
| spl0_34 ),
inference(sat_conversion,[],[f314]) ).
cnf(s19,plain,
( ~ spl0_3
| spl0_14
| spl0_27
| spl0_37 ),
inference(sat_conversion,[],[f326]) ).
cnf(s20,plain,
( ~ spl0_3
| spl0_5
| spl0_9
| spl0_34 ),
inference(sat_conversion,[],[f327]) ).
cnf(s22,plain,
( ~ spl0_3
| spl0_25
| spl0_30
| spl0_39 ),
inference(sat_conversion,[],[f335]) ).
cnf(s23,plain,
( ~ spl0_3
| spl0_9
| spl0_10
| spl0_20 ),
inference(sat_conversion,[],[f336]) ).
cnf(s24,plain,
( ~ spl0_3
| spl0_10
| spl0_27
| spl0_37 ),
inference(sat_conversion,[],[f337]) ).
cnf(s26,plain,
( ~ spl0_3
| spl0_5
| spl0_13
| spl0_41 ),
inference(sat_conversion,[],[f345]) ).
cnf(s27,plain,
( ~ spl0_3
| spl0_5
| spl0_13
| spl0_42 ),
inference(sat_conversion,[],[f349]) ).
cnf(s28,plain,
( ~ spl0_3
| spl0_8
| spl0_43
| spl0_44 ),
inference(sat_conversion,[],[f356]) ).
cnf(s29,plain,
( ~ spl0_3
| spl0_11
| spl0_16
| spl0_45 ),
inference(sat_conversion,[],[f360]) ).
cnf(s30,plain,
( ~ spl0_3
| spl0_5
| spl0_46
| spl0_47 ),
inference(sat_conversion,[],[f367]) ).
cnf(s34,plain,
( ~ spl0_3
| spl0_7
| spl0_39
| spl0_50 ),
inference(sat_conversion,[],[f380]) ).
cnf(s36,plain,
( ~ spl0_3
| spl0_4
| spl0_35
| spl0_51 ),
inference(sat_conversion,[],[f385]) ).
cnf(s37,plain,
( spl0_2
| ~ spl0_3
| spl0_52
| spl0_53 ),
inference(sat_conversion,[],[f392]) ).
cnf(s38,plain,
( spl0_2
| ~ spl0_3
| spl0_24
| spl0_54 ),
inference(sat_conversion,[],[f396]) ).
cnf(s40,plain,
( spl0_2
| ~ spl0_3
| spl0_36
| spl0_45 ),
inference(sat_conversion,[],[f404]) ).
cnf(s43,plain,
( ~ spl0_3
| spl0_18
| spl0_35
| spl0_42 ),
inference(sat_conversion,[],[f416]) ).
cnf(s45,plain,
( spl0_1
| ~ spl0_3
| spl0_20
| spl0_37 ),
inference(sat_conversion,[],[f418]) ).
cnf(s47,plain,
( ~ spl0_3
| spl0_12
| spl0_55
| spl0_61 ),
inference(sat_conversion,[],[f426]) ).
cnf(s48,plain,
( ~ spl0_3
| spl0_6
| spl0_21
| spl0_58 ),
inference(sat_conversion,[],[f427]) ).
cnf(s49,plain,
( ~ spl0_3
| spl0_18
| spl0_62 ),
inference(sat_conversion,[],[f431]) ).
cnf(s50,plain,
( ~ spl0_3
| spl0_25
| spl0_29
| spl0_50 ),
inference(sat_conversion,[],[f432]) ).
cnf(s54,plain,
( ~ spl0_3
| spl0_14
| spl0_26
| spl0_62 ),
inference(sat_conversion,[],[f442]) ).
cnf(s55,plain,
( ~ spl0_3
| spl0_14
| spl0_29
| spl0_53 ),
inference(sat_conversion,[],[f443]) ).
cnf(s57,plain,
( ~ spl0_3
| spl0_5
| spl0_33
| spl0_61 ),
inference(sat_conversion,[],[f445]) ).
cnf(s58,plain,
( ~ spl0_3
| spl0_8
| spl0_39
| spl0_45 ),
inference(sat_conversion,[],[f446]) ).
cnf(s59,plain,
( ~ spl0_3
| spl0_8
| spl0_37
| spl0_42 ),
inference(sat_conversion,[],[f447]) ).
cnf(s60,plain,
( ~ spl0_3
| spl0_24
| spl0_44 ),
inference(sat_conversion,[],[f448]) ).
cnf(s63,plain,
( ~ spl0_45
| ~ spl0_65 ),
inference(sat_conversion,[],[f455]) ).
cnf(s64,plain,
( ~ spl0_45
| ~ spl0_66 ),
inference(sat_conversion,[],[f459]) ).
cnf(s67,plain,
( ~ spl0_36
| ~ spl0_69 ),
inference(sat_conversion,[],[f473]) ).
cnf(s68,plain,
( ~ spl0_29
| ~ spl0_70 ),
inference(sat_conversion,[],[f478]) ).
cnf(s69,plain,
( ~ spl0_46
| ~ spl0_71 ),
inference(sat_conversion,[],[f483]) ).
cnf(s70,plain,
( ~ spl0_34
| ~ spl0_72 ),
inference(sat_conversion,[],[f488]) ).
cnf(s71,plain,
( ~ spl0_34
| ~ spl0_73 ),
inference(sat_conversion,[],[f492]) ).
cnf(s72,plain,
( ~ spl0_34
| ~ spl0_74 ),
inference(sat_conversion,[],[f496]) ).
cnf(s73,plain,
( ~ spl0_43
| ~ spl0_75 ),
inference(sat_conversion,[],[f501]) ).
cnf(s74,plain,
( ~ spl0_43
| ~ spl0_76 ),
inference(sat_conversion,[],[f505]) ).
cnf(s75,plain,
( ~ spl0_42
| ~ spl0_77 ),
inference(sat_conversion,[],[f510]) ).
cnf(s76,plain,
( ~ spl0_37
| ~ spl0_78 ),
inference(sat_conversion,[],[f515]) ).
cnf(s77,plain,
( ~ spl0_39
| ~ spl0_79 ),
inference(sat_conversion,[],[f520]) ).
cnf(s78,plain,
( ~ spl0_39
| ~ spl0_80 ),
inference(sat_conversion,[],[f524]) ).
cnf(s79,plain,
( ~ spl0_39
| ~ spl0_81 ),
inference(sat_conversion,[],[f528]) ).
cnf(s81,plain,
( ~ spl0_41
| ~ spl0_83 ),
inference(sat_conversion,[],[f537]) ).
cnf(s82,plain,
( ~ spl0_61
| ~ spl0_84 ),
inference(sat_conversion,[],[f542]) ).
cnf(s83,plain,
( ~ spl0_61
| ~ spl0_85 ),
inference(sat_conversion,[],[f546]) ).
cnf(s84,plain,
( ~ spl0_24
| ~ spl0_86 ),
inference(sat_conversion,[],[f551]) ).
cnf(s87,plain,
( ~ spl0_53
| ~ spl0_89 ),
inference(sat_conversion,[],[f565]) ).
cnf(s88,plain,
( ~ spl0_26
| ~ spl0_90 ),
inference(sat_conversion,[],[f570]) ).
cnf(s89,plain,
( ~ spl0_26
| ~ spl0_91 ),
inference(sat_conversion,[],[f574]) ).
cnf(s90,plain,
( ~ spl0_62
| ~ spl0_92 ),
inference(sat_conversion,[],[f579]) ).
cnf(s91,plain,
( ~ spl0_21
| ~ spl0_93 ),
inference(sat_conversion,[],[f584]) ).
cnf(s92,plain,
( ~ spl0_58
| ~ spl0_94 ),
inference(sat_conversion,[],[f589]) ).
cnf(s93,plain,
( ~ spl0_55
| ~ spl0_95 ),
inference(sat_conversion,[],[f594]) ).
cnf(s94,plain,
( ~ spl0_55
| ~ spl0_96 ),
inference(sat_conversion,[],[f598]) ).
cnf(s96,plain,
( ~ spl0_20
| ~ spl0_98 ),
inference(sat_conversion,[],[f608]) ).
cnf(s97,plain,
( ~ spl0_20
| ~ spl0_99 ),
inference(sat_conversion,[],[f612]) ).
cnf(s103,plain,
( ~ spl0_52
| ~ spl0_105 ),
inference(sat_conversion,[],[f639]) ).
cnf(s104,plain,
( ~ spl0_52
| ~ spl0_106 ),
inference(sat_conversion,[],[f643]) ).
cnf(s105,plain,
( ~ spl0_50
| ~ spl0_107 ),
inference(sat_conversion,[],[f648]) ).
cnf(s106,plain,
( ~ spl0_54
| ~ spl0_108 ),
inference(sat_conversion,[],[f653]) ).
cnf(s107,plain,
( ~ spl0_54
| ~ spl0_109 ),
inference(sat_conversion,[],[f657]) ).
cnf(s111,plain,
( ~ spl0_45
| spl0_113 ),
inference(sat_conversion,[],[f674]) ).
cnf(s114,plain,
( ~ spl0_36
| spl0_116 ),
inference(sat_conversion,[],[f686]) ).
cnf(s115,plain,
( ~ spl0_29
| spl0_117 ),
inference(sat_conversion,[],[f690]) ).
cnf(s116,plain,
( ~ spl0_29
| spl0_118 ),
inference(sat_conversion,[],[f694]) ).
cnf(s118,plain,
( ~ spl0_46
| spl0_120 ),
inference(sat_conversion,[],[f702]) ).
cnf(s119,plain,
( ~ spl0_43
| spl0_121 ),
inference(sat_conversion,[],[f706]) ).
cnf(s120,plain,
( ~ spl0_42
| spl0_122 ),
inference(sat_conversion,[],[f710]) ).
cnf(s121,plain,
( ~ spl0_42
| spl0_123 ),
inference(sat_conversion,[],[f714]) ).
cnf(s122,plain,
( ~ spl0_37
| spl0_124 ),
inference(sat_conversion,[],[f718]) ).
cnf(s123,plain,
( ~ spl0_37
| spl0_125 ),
inference(sat_conversion,[],[f722]) ).
cnf(s124,plain,
( ~ spl0_41
| spl0_126 ),
inference(sat_conversion,[],[f726]) ).
cnf(s125,plain,
( ~ spl0_61
| spl0_127 ),
inference(sat_conversion,[],[f730]) ).
cnf(s126,plain,
( ~ spl0_24
| spl0_128 ),
inference(sat_conversion,[],[f734]) ).
cnf(s127,plain,
( ~ spl0_24
| spl0_129 ),
inference(sat_conversion,[],[f738]) ).
cnf(s129,plain,
( ~ spl0_53
| spl0_131 ),
inference(sat_conversion,[],[f746]) ).
cnf(s130,plain,
( ~ spl0_53
| spl0_132 ),
inference(sat_conversion,[],[f750]) ).
cnf(s131,plain,
( ~ spl0_26
| spl0_133 ),
inference(sat_conversion,[],[f754]) ).
cnf(s132,plain,
( ~ spl0_62
| spl0_134 ),
inference(sat_conversion,[],[f758]) ).
cnf(s133,plain,
( ~ spl0_62
| spl0_135 ),
inference(sat_conversion,[],[f762]) ).
cnf(s135,plain,
( ~ spl0_21
| spl0_137 ),
inference(sat_conversion,[],[f770]) ).
cnf(s137,plain,
( ~ spl0_58
| spl0_139 ),
inference(sat_conversion,[],[f778]) ).
cnf(s138,plain,
( ~ spl0_55
| spl0_140 ),
inference(sat_conversion,[],[f782]) ).
cnf(s141,plain,
( ~ spl0_20
| spl0_143 ),
inference(sat_conversion,[],[f794]) ).
cnf(s143,plain,
( ~ spl0_52
| spl0_145 ),
inference(sat_conversion,[],[f802]) ).
cnf(s144,plain,
( ~ spl0_50
| spl0_146 ),
inference(sat_conversion,[],[f806]) ).
cnf(s145,plain,
( ~ spl0_50
| spl0_147 ),
inference(sat_conversion,[],[f810]) ).
cnf(s147,plain,
( ~ spl0_35
| spl0_149 ),
inference(sat_conversion,[],[f819]) ).
cnf(s148,plain,
( ~ spl0_35
| spl0_150 ),
inference(sat_conversion,[],[f823]) ).
cnf(s149,plain,
( ~ spl0_35
| spl0_151 ),
inference(sat_conversion,[],[f827]) ).
cnf(s153,plain,
( ~ spl0_33
| spl0_155 ),
inference(sat_conversion,[],[f845]) ).
cnf(s154,plain,
( ~ spl0_33
| spl0_156 ),
inference(sat_conversion,[],[f849]) ).
cnf(s155,plain,
( ~ spl0_33
| spl0_157 ),
inference(sat_conversion,[],[f853]) ).
cnf(s156,plain,
( ~ spl0_51
| spl0_158 ),
inference(sat_conversion,[],[f858]) ).
cnf(s157,plain,
( ~ spl0_51
| spl0_159 ),
inference(sat_conversion,[],[f862]) ).
cnf(s158,plain,
( ~ spl0_51
| spl0_160 ),
inference(sat_conversion,[],[f866]) ).
cnf(s159,plain,
( spl0_20
| spl0_34
| spl0_52 ),
inference(sat_conversion,[],[f867]) ).
cnf(s164,plain,
( spl0_24
| spl0_51
| spl0_52 ),
inference(sat_conversion,[],[f872]) ).
cnf(s177,plain,
( spl0_3
| ~ spl0_24 ),
inference(sat_conversion,[],[f886]) ).
cnf(s189,plain,
( spl0_3
| ~ spl0_52 ),
inference(sat_conversion,[],[f898]) ).
cnf(s196,plain,
( spl0_3
| ~ spl0_51 ),
inference(sat_conversion,[],[f905]) ).
cnf(s197,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_86
| ~ spl0_128
| ~ spl0_129 ),
inference(sat_conversion,[],[f917]) ).
cnf(s199,plain,
( ~ spl0_2
| ~ spl0_8
| spl0_86
| ~ spl0_128
| ~ spl0_129 ),
inference(sat_conversion,[],[f937]) ).
cnf(s200,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_128
| ~ spl0_129 ),
inference(sat_conversion,[],[f944]) ).
cnf(s204,plain,
( ~ spl0_9
| ~ spl0_13
| spl0_93
| ~ spl0_137 ),
inference(sat_conversion,[],[f978]) ).
cnf(s206,plain,
( ~ spl0_6
| spl0_78
| ~ spl0_124
| ~ spl0_125 ),
inference(sat_conversion,[],[f985]) ).
cnf(s211,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_83
| ~ spl0_126 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s214,plain,
( ~ spl0_14
| spl0_98
| spl0_99
| ~ spl0_143 ),
inference(sat_conversion,[],[f1037]) ).
cnf(s218,plain,
( ~ spl0_6
| ~ spl0_19
| spl0_99
| ~ spl0_143 ),
inference(sat_conversion,[],[f1051]) ).
cnf(s226,plain,
( ~ spl0_14
| ~ spl0_17
| spl0_69
| ~ spl0_116 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s227,plain,
( ~ spl0_14
| ~ spl0_17
| spl0_78
| ~ spl0_124 ),
inference(sat_conversion,[],[f1141]) ).
cnf(s231,plain,
( ~ spl0_7
| ~ spl0_18
| ~ spl0_128
| ~ spl0_129 ),
inference(sat_conversion,[],[f1158]) ).
cnf(s233,plain,
( ~ spl0_1
| ~ spl0_10
| spl0_65
| spl0_66
| ~ spl0_113 ),
inference(sat_conversion,[],[f1168]) ).
cnf(s238,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_117
| ~ spl0_118 ),
inference(sat_conversion,[],[f1191]) ).
cnf(s247,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_71
| ~ spl0_120 ),
inference(sat_conversion,[],[f1239]) ).
cnf(s250,plain,
( ~ spl0_1
| ~ spl0_13
| spl0_107
| ~ spl0_147 ),
inference(sat_conversion,[],[f1259]) ).
cnf(s254,plain,
( ~ spl0_1
| spl0_107
| ~ spl0_146
| ~ spl0_147 ),
inference(sat_conversion,[],[f1281]) ).
cnf(s255,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_72
| spl0_73
| spl0_74 ),
inference(sat_conversion,[],[f1285]) ).
cnf(s269,plain,
( ~ spl0_5
| spl0_86
| ~ spl0_128
| spl0_168 ),
inference(sat_conversion,[],[f1316]) ).
cnf(s283,plain,
( ~ spl0_4
| ~ spl0_149
| ~ spl0_151
| ~ spl0_166 ),
inference(sat_conversion,[],[f1354]) ).
cnf(s330,plain,
( ~ spl0_10
| ~ spl0_25
| spl0_84
| spl0_85 ),
inference(sat_conversion,[],[f1498]) ).
cnf(s358,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_157 ),
inference(sat_conversion,[],[f1579]) ).
cnf(s374,plain,
( ~ spl0_9
| ~ spl0_13
| spl0_84
| ~ spl0_127 ),
inference(sat_conversion,[],[f1618]) ).
cnf(s382,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_150
| ~ spl0_151 ),
inference(sat_conversion,[],[f1637]) ).
cnf(s383,plain,
( ~ spl0_16
| spl0_72
| spl0_73
| spl0_74 ),
inference(sat_conversion,[],[f1638]) ).
cnf(s401,plain,
( ~ spl0_4
| ~ spl0_155
| ~ spl0_156
| ~ spl0_157 ),
inference(sat_conversion,[],[f1705]) ).
cnf(s415,plain,
( ~ spl0_7
| ~ spl0_149
| ~ spl0_150
| ~ spl0_166 ),
inference(sat_conversion,[],[f1743]) ).
cnf(s430,plain,
( ~ spl0_2
| ~ spl0_158
| ~ spl0_159
| ~ spl0_160 ),
inference(sat_conversion,[],[f1776]) ).
cnf(s446,plain,
( ~ spl0_15
| spl0_84
| spl0_85
| ~ spl0_127 ),
inference(sat_conversion,[],[f1869]) ).
cnf(s469,plain,
( ~ spl0_7
| ~ spl0_27
| ~ spl0_155
| ~ spl0_156 ),
inference(sat_conversion,[],[f1974]) ).
cnf(s475,plain,
( ~ spl0_10
| ~ spl0_30
| spl0_108
| spl0_109 ),
inference(sat_conversion,[],[f2014]) ).
cnf(s499,plain,
( ~ spl0_10
| spl0_79
| spl0_80
| spl0_81 ),
inference(sat_conversion,[],[f2110]) ).
cnf(s515,plain,
( ~ spl0_44
| spl0_95
| spl0_96
| ~ spl0_140 ),
inference(sat_conversion,[],[f2169]) ).
cnf(s537,plain,
( ~ spl0_28
| spl0_86
| ~ spl0_129
| ~ spl0_168 ),
inference(sat_conversion,[],[f2196]) ).
cnf(s538,plain,
( ~ spl0_44
| spl0_78
| ~ spl0_125
| spl0_161 ),
inference(sat_conversion,[],[f2197]) ).
cnf(s547,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_155
| ~ spl0_156
| ~ spl0_157 ),
inference(sat_conversion,[],[f2233]) ).
cnf(s550,plain,
( ~ spl0_17
| spl0_89
| ~ spl0_131
| ~ spl0_132 ),
inference(sat_conversion,[],[f2238]) ).
cnf(s555,plain,
( ~ spl0_13
| spl0_75
| spl0_76
| ~ spl0_177 ),
inference(sat_conversion,[],[f2283]) ).
cnf(s572,plain,
( ~ spl0_9
| spl0_77
| ~ spl0_122
| ~ spl0_123 ),
inference(sat_conversion,[],[f2326]) ).
cnf(s575,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_151
| spl0_166 ),
inference(sat_conversion,[],[f2339]) ).
cnf(s581,plain,
( ~ spl0_12
| spl0_89
| ~ spl0_131
| ~ spl0_179 ),
inference(sat_conversion,[],[f2406]) ).
cnf(s586,plain,
( ~ spl0_18
| spl0_86
| ~ spl0_128
| ~ spl0_129 ),
inference(sat_conversion,[],[f2429]) ).
cnf(s595,plain,
( ~ spl0_6
| spl0_89
| ~ spl0_132
| ~ spl0_179 ),
inference(sat_conversion,[],[f2486]) ).
cnf(s608,plain,
( ~ spl0_9
| ~ spl0_44
| spl0_94
| ~ spl0_139 ),
inference(sat_conversion,[],[f2504]) ).
cnf(s610,plain,
( ~ spl0_9
| ~ spl0_150
| ~ spl0_151
| spl0_166 ),
inference(sat_conversion,[],[f2507]) ).
cnf(s613,plain,
( ~ spl0_1
| ~ spl0_117
| ~ spl0_118
| spl0_163 ),
inference(sat_conversion,[],[f2510]) ).
cnf(s622,plain,
( ~ spl0_16
| spl0_105
| spl0_106
| spl0_162 ),
inference(sat_conversion,[],[f2516]) ).
cnf(s631,plain,
( ~ spl0_1
| ~ spl0_155
| ~ spl0_157
| spl0_180 ),
inference(sat_conversion,[],[f2565]) ).
cnf(s642,plain,
( ~ spl0_27
| ~ spl0_131
| ~ spl0_132
| spl0_179 ),
inference(sat_conversion,[],[f2634]) ).
cnf(s643,plain,
( ~ spl0_27
| spl0_92
| ~ spl0_134
| ~ spl0_135 ),
inference(sat_conversion,[],[f2636]) ).
cnf(s676,plain,
( ~ spl0_19
| spl0_76
| ~ spl0_121
| spl0_177 ),
inference(sat_conversion,[],[f2697]) ).
cnf(s679,plain,
( ~ spl0_9
| spl0_90
| ~ spl0_133
| ~ spl0_174 ),
inference(sat_conversion,[],[f2702]) ).
cnf(s688,plain,
( ~ spl0_1
| ~ spl0_19
| spl0_92
| ~ spl0_134
| ~ spl0_135 ),
inference(sat_conversion,[],[f2709]) ).
cnf(s694,plain,
( ~ spl0_8
| spl0_105
| spl0_106
| ~ spl0_162 ),
inference(sat_conversion,[],[f2713]) ).
cnf(s697,plain,
( ~ spl0_8
| spl0_91
| ~ spl0_133
| spl0_174 ),
inference(sat_conversion,[],[f2715]) ).
cnf(s720,plain,
( ~ spl0_7
| ~ spl0_124
| ~ spl0_125
| ~ spl0_161 ),
inference(sat_conversion,[],[f2741]) ).
cnf(s722,plain,
( ~ spl0_7
| ~ spl0_155
| ~ spl0_156
| ~ spl0_180 ),
inference(sat_conversion,[],[f2742]) ).
cnf(s724,plain,
( ~ spl0_5
| spl0_105
| spl0_106
| ~ spl0_145 ),
inference(sat_conversion,[],[f2744]) ).
cnf(s737,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_79
| spl0_80
| spl0_81 ),
inference(sat_conversion,[],[f2747]) ).
cnf(s749,plain,
( ~ spl0_18
| spl0_70
| ~ spl0_117
| ~ spl0_163 ),
inference(sat_conversion,[],[f2766]) ).
cnf(s756,plain,
( ~ spl0_15
| ~ spl0_47
| spl0_90
| spl0_91 ),
inference(sat_conversion,[],[f2785]) ).
cnf(s760,plain,
( ~ spl0_12
| ~ spl0_44
| spl0_78
| ~ spl0_125 ),
inference(sat_conversion,[],[f2805]) ).
cnf(s761,plain,
( ~ spl0_12
| ~ spl0_44
| ~ spl0_133
| spl0_174 ),
inference(sat_conversion,[],[f2806]) ).
cnf(s764,plain,
spl0_3,
inference(rat,[],[s164,s177,s189,s196]) ).
cnf(s765,plain,
( ~ spl0_24
| ~ spl0_18
| ~ spl0_7 ),
inference(rat,[],[s231,s126,s127]) ).
cnf(s766,plain,
( ~ spl0_42
| ~ spl0_9 ),
inference(rat,[],[s572,s75,s120,s121]) ).
cnf(s768,plain,
( ~ spl0_43
| ~ spl0_19
| ~ spl0_13 ),
inference(rat,[],[s676,s555,s73,s74,s119]) ).
cnf(s771,plain,
( ~ spl0_58
| ~ spl0_44
| ~ spl0_9 ),
inference(rat,[],[s608,s92,s137]) ).
cnf(s772,plain,
( ~ spl0_21
| ~ spl0_13
| ~ spl0_9 ),
inference(rat,[],[s204,s91,s135]) ).
cnf(s773,plain,
( ~ spl0_33
| ~ spl0_4 ),
inference(rat,[],[s401,s153,s154,s155]) ).
cnf(s774,plain,
( ~ spl0_9
| spl0_6
| spl0_5 ),
inference(rat,[],[s415,s575,s147,s148,s149,s43,s765,s60,s771,s48,s772,s27,s766,s2,s764]) ).
cnf(s775,plain,
( spl0_6
| spl0_5
| spl0_33 ),
inference(rat,[],[s15,s774,s764]) ).
cnf(s776,plain,
( ~ spl0_9
| spl0_84
| ~ spl0_127
| spl0_5 ),
inference(rat,[],[s27,s374,s766,s764]) ).
cnf(s777,plain,
( ~ spl0_20
| ~ spl0_14 ),
inference(rat,[],[s214,s96,s97,s141]) ).
cnf(s778,plain,
( spl0_5
| spl0_33
| spl0_1 ),
inference(rat,[],[s206,s76,s122,s123,s45,s777,s6,s776,s446,s82,s83,s125,s775,s57,s764]) ).
cnf(s781,plain,
( ~ spl0_26
| ~ spl0_12
| ~ spl0_44
| ~ spl0_9 ),
inference(rat,[],[s679,s761,s88,s131]) ).
cnf(s782,plain,
( spl0_37
| spl0_26
| spl0_1 ),
inference(rat,[],[s643,s90,s132,s133,s54,s19,s777,s45,s764]) ).
cnf(s783,plain,
( ~ spl0_44
| spl0_6
| ~ spl0_9
| spl0_1 ),
inference(rat,[],[s760,s76,s123,s782,s781,s5,s772,s48,s771,s764]) ).
cnf(s784,plain,
( ~ spl0_35
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s610,s283,s147,s148,s149]) ).
cnf(s785,plain,
( ~ spl0_24
| ~ spl0_18 ),
inference(rat,[],[s586,s84,s126,s127]) ).
cnf(s786,plain,
( spl0_37
| ~ spl0_9
| spl0_1 ),
inference(rat,[],[s679,s697,s88,s89,s131,s782,s59,s766,s764]) ).
cnf(s787,plain,
( ~ spl0_44
| ~ spl0_9
| spl0_1 ),
inference(rat,[],[s206,s76,s122,s123,s786,s783]) ).
cnf(s788,plain,
( ~ spl0_9
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s787,s60,s785,s43,s784,s766,s764]) ).
cnf(s790,plain,
( ~ spl0_52
| ~ spl0_5 ),
inference(rat,[],[s724,s103,s104,s143]) ).
cnf(s791,plain,
( spl0_37
| spl0_27
| spl0_1 ),
inference(rat,[],[s777,s19,s45,s764]) ).
cnf(s792,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s206,s76,s122,s123,s791,s642,s595,s87,s129,s130,s37,s790,s15,s788,s778,s773,s1,s764]) ).
cnf(s793,plain,
( ~ spl0_51
| ~ spl0_2 ),
inference(rat,[],[s430,s156,s157,s158]) ).
cnf(s794,plain,
( ~ spl0_24
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s199,s84,s126,s127]) ).
cnf(s795,plain,
( ~ spl0_6
| spl0_47
| spl0_14
| spl0_99
| ~ spl0_143
| ~ spl0_2 ),
inference(rat,[],[s247,s69,s118,s30,s790,s164,s794,s8,s218,s793,s764]) ).
cnf(s796,plain,
( ~ spl0_5
| ~ spl0_2 ),
inference(rat,[],[s197,s84,s126,s127,s164,s790,s793]) ).
cnf(s797,plain,
( spl0_37
| ~ spl0_6
| spl0_9
| spl0_1 ),
inference(rat,[],[s756,s795,s6,s88,s89,s777,s97,s141,s782,s45,s792,s764]) ).
cnf(s798,plain,
( ~ spl0_6
| spl0_9
| spl0_1 ),
inference(rat,[],[s206,s76,s122,s123,s797]) ).
cnf(s799,plain,
( spl0_9
| spl0_1 ),
inference(rat,[],[s8,s768,s227,s5,s28,s7,s200,s794,s785,s126,s127,s60,s538,s720,s76,s122,s123,s791,s469,s2,s798,s383,s70,s71,s72,s20,s154,s153,s778,s796,s792,s764]) ).
cnf(s800,plain,
spl0_1,
inference(rat,[],[s382,s799,s148,s149,s36,s773,s778,s796,s793,s792,s764]) ).
cnf(s801,plain,
( ~ spl0_5
| spl0_2
| spl0_37
| ~ spl0_6 ),
inference(rat,[],[s255,s70,s71,s72,s159,s777,s24,s19,s642,s595,s87,s129,s130,s37,s790,s764]) ).
cnf(s802,plain,
( ~ spl0_53
| ~ spl0_27
| ~ spl0_6 ),
inference(rat,[],[s595,s642,s87,s129,s130]) ).
cnf(s803,plain,
( spl0_14
| spl0_37
| ~ spl0_6 ),
inference(rat,[],[s643,s90,s132,s133,s49,s749,s613,s68,s115,s116,s55,s802,s19,s764,s800]) ).
cnf(s804,plain,
( ~ spl0_39
| ~ spl0_10 ),
inference(rat,[],[s499,s77,s78,s79]) ).
cnf(s805,plain,
( ~ spl0_54
| ~ spl0_30
| ~ spl0_10 ),
inference(rat,[],[s475,s106,s107]) ).
cnf(s807,plain,
( ~ spl0_41
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s211,s81,s124]) ).
cnf(s808,plain,
( ~ spl0_45
| ~ spl0_10 ),
inference(rat,[],[s233,s63,s64,s111,s800]) ).
cnf(s809,plain,
( spl0_2
| ~ spl0_10
| spl0_37
| ~ spl0_6 ),
inference(rat,[],[s226,s67,s114,s40,s7,s785,s38,s805,s22,s330,s82,s83,s57,s773,s9,s383,s70,s71,s72,s16,s801,s777,s803,s804,s808,s764]) ).
cnf(s811,plain,
( ~ spl0_50
| ~ spl0_13 ),
inference(rat,[],[s250,s105,s145,s800]) ).
cnf(s812,plain,
( ~ spl0_29
| ~ spl0_2 ),
inference(rat,[],[s238,s115,s116,s800]) ).
cnf(s814,plain,
( ~ spl0_61
| ~ spl0_25
| ~ spl0_10 ),
inference(rat,[],[s330,s82,s83]) ).
cnf(s815,plain,
( spl0_37
| ~ spl0_6
| spl0_9 ),
inference(rat,[],[s547,s153,s154,s155,s57,s814,s50,s812,s811,s29,s622,s694,s103,s104,s26,s164,s807,s794,s796,s793,s58,s809,s808,s804,s23,s777,s803,s764]) ).
cnf(s816,plain,
( ~ spl0_6
| spl0_9 ),
inference(rat,[],[s206,s76,s122,s123,s815]) ).
cnf(s818,plain,
( ~ spl0_55
| ~ spl0_44 ),
inference(rat,[],[s515,s93,s94,s138]) ).
cnf(s819,plain,
( ~ spl0_61
| ~ spl0_15 ),
inference(rat,[],[s446,s82,s83,s125]) ).
cnf(s820,plain,
( spl0_12
| spl0_9 ),
inference(rat,[],[s7,s737,s785,s77,s78,s79,s60,s34,s818,s811,s47,s5,s550,s87,s129,s130,s37,s790,s819,s6,s777,s9,s796,s2,s722,s631,s155,s154,s153,s773,s15,s816,s764,s800]) ).
cnf(s821,plain,
~ spl0_50,
inference(rat,[],[s254,s105,s144,s145,s800]) ).
cnf(s822,plain,
( spl0_6
| spl0_9 ),
inference(rat,[],[s737,s77,s78,s79,s34,s7,s785,s60,s760,s76,s123,s19,s642,s581,s820,s6,s550,s777,s87,s129,s130,s9,s37,s796,s790,s2,s722,s631,s773,s153,s154,s155,s15,s800,s764,s821]) ).
cnf(s823,plain,
spl0_9,
inference(rat,[],[s822,s816]) ).
cnf(s824,plain,
~ spl0_42,
inference(rat,[],[s766,s823]) ).
cnf(s825,plain,
( ~ spl0_37
| ~ spl0_6 ),
inference(rat,[],[s206,s76,s122,s123]) ).
cnf(s826,plain,
( spl0_33
| spl0_5 ),
inference(rat,[],[s776,s82,s125,s57,s764,s823]) ).
cnf(s827,plain,
( spl0_2
| ~ spl0_6 ),
inference(rat,[],[s826,s773,s9,s801,s777,s803,s825,s764]) ).
cnf(s828,plain,
~ spl0_2,
inference(rat,[],[s155,s358,s826,s27,s796,s800,s823,s764,s824]) ).
cnf(s829,plain,
~ spl0_6,
inference(rat,[],[s827,s828]) ).
cnf(s830,plain,
spl0_5,
inference(rat,[],[s774,s823,s829]) ).
cnf(s831,plain,
~ spl0_52,
inference(rat,[],[s790,s830]) ).
cnf(s832,plain,
spl0_53,
inference(rat,[],[s37,s764,s828,s831]) ).
cnf(s833,plain,
spl0_132,
inference(rat,[],[s130,s832]) ).
cnf(s834,plain,
spl0_131,
inference(rat,[],[s129,s832]) ).
cnf(s835,plain,
~ spl0_89,
inference(rat,[],[s87,s832]) ).
cnf(s837,plain,
~ spl0_27,
inference(rat,[],[s643,s90,s132,s133,s49,s785,s60,s771,s48,s772,s5,s581,s642,s764,s823,s829,s834,s835,s833]) ).
cnf(s838,plain,
( ~ spl0_44
| ~ spl0_37 ),
inference(rat,[],[s772,s5,s48,s760,s771,s123,s76,s823,s764,s829]) ).
cnf(s839,plain,
spl0_14,
inference(rat,[],[s679,s697,s8,s88,s89,s131,s688,s12,s90,s132,s133,s537,s49,s269,s785,s84,s126,s127,s60,s838,s19,s823,s764,s800,s837,s830]) ).
cnf(s840,plain,
~ spl0_20,
inference(rat,[],[s777,s839]) ).
cnf(s841,plain,
spl0_4,
inference(rat,[],[s9,s764,s828,s840]) ).
cnf(s842,plain,
spl0_34,
inference(rat,[],[s159,s831,s840]) ).
cnf(s844,plain,
~ spl0_35,
inference(rat,[],[s784,s823,s841]) ).
cnf(s845,plain,
~ spl0_74,
inference(rat,[],[s72,s842]) ).
cnf(s846,plain,
~ spl0_73,
inference(rat,[],[s71,s842]) ).
cnf(s847,plain,
~ spl0_72,
inference(rat,[],[s70,s842]) ).
cnf(s849,plain,
spl0_18,
inference(rat,[],[s43,s824,s764,s844]) ).
cnf(s851,plain,
~ spl0_10,
inference(rat,[],[s255,s846,s847,s830,s845]) ).
cnf(s856,plain,
~ spl0_24,
inference(rat,[],[s785,s849]) ).
cnf(s857,plain,
spl0_37,
inference(rat,[],[s24,s837,s764,s851]) ).
cnf(s859,plain,
spl0_44,
inference(rat,[],[s60,s764,s856]) ).
cnf(s864,plain,
$false,
inference(rat,[],[s838,s857,s859]) ).
fof(f2810,plain,
$false,
inference(avatar_sat_refutation,[],[s864]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN465-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n011.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 16:09:16 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.99 % (3501681)Input is clausal, will run a generic CNF schedule.
% 0.66/0.99 % (3501690)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3115624310:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.66/0.99 % (3501690)First to succeed.
% 0.66/0.99 % (3501690)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3501681"
% 0.66/0.99 % (3501687)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3787854148:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.66/0.99 % (3501689)lrs+10_1_sil=8000:sp=occurrence:random_seed=1631580253:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.66/0.99 % (3501688)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1831066431:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.66/0.99 % (3501686)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=2389137019:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.66/0.99 % (3501691)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=881793016:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.66/0.99 % (3501692)dis-21_1_sil=8000:lcm=predicate:random_seed=3420148736: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)
% 0.66/0.99 % (3501692)Also succeeded, but the first one will report.
% 0.66/0.99 % (3501691)Also succeeded, but the first one will report.
% 0.66/0.99 % (3501689)Also succeeded, but the first one will report.
% 0.66/0.99 % (3501690)Refutation found. Thanks to Tanya!
% 0.66/0.99 % SZS status Unsatisfiable for theBenchmark
% 0.66/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 2.85/1.19 % (3501690)------------------------------
% 2.85/1.19 % (3501690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.85/1.19 % (3501690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/1.19 % (3501690)CaDiCaL version: 2.1.3
% 2.85/1.19 % (3501690)Termination reason: Refutation
% 2.85/1.19 % (3501690)Time elapsed: 0.024 s
% 2.85/1.19 % (3501690)Peak memory usage: 90 MB
% 2.85/1.19 % (3501690)Instructions burned: 63 (million)
% 2.85/1.19 % (3501690)------------------------------
% 2.85/1.19 % (3501690)------------------------------
% 2.85/1.19 % (3501681)Success in time 0.313 s
% 2.85/1.19 % Vampire exiting
%------------------------------------------------------------------------------