%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN498-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:58:11 PM UTC 2026
% Result : Unsatisfiable 3.11s 1.10s
% Output : Refutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 273
% Syntax : Number of formulae : 904 ( 28 unt; 146 def)
% Number of atoms : 2837 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3404 (1471 ~;1787 |; 0 &)
% ( 146 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 178 ( 177 usr; 174 prp; 0-1 aty)
% Number of functors : 26 ( 26 usr; 26 con; 0-0 aty)
% Number of variables : 151 ( 0 sgn 151 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f6,negated_conjecture,
( ~ hskp25
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f26,negated_conjecture,
( ~ hskp5
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f33,negated_conjecture,
( hskp27
| hskp13
| hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
( hskp21
| hskp13
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
( hskp9
| hskp2
| hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f36,negated_conjecture,
( hskp16
| hskp4
| hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f37,negated_conjecture,
( hskp5
| hskp25
| hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f43,negated_conjecture,
( ~ hskp29
| c0_1(a35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( ~ hskp29
| c1_1(a35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( ~ hskp29
| c2_1(a35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( ~ hskp28
| c1_1(a25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( ~ hskp28
| c2_1(a25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( ~ hskp28
| c3_1(a25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( ~ hskp27
| c0_1(a12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( ~ hskp27
| c1_1(a12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( ~ hskp27
| c3_1(a12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f54,negated_conjecture,
( ~ hskp25
| c0_1(a70) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( ~ hskp24
| c2_1(a58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f57,negated_conjecture,
( ~ hskp22
| c0_1(a42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( ~ hskp22
| c2_1(a42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( ~ hskp21
| c0_1(a38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( ~ hskp21
| c1_1(a38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( ~ hskp20
| c1_1(a37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( ~ hskp20
| c3_1(a37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( ~ hskp19
| c2_1(a36) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( ~ hskp19
| c3_1(a36) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( ~ hskp18
| c1_1(a31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( ~ hskp17
| c3_1(a28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( ~ hskp16
| c0_1(a27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( ~ hskp16
| c3_1(a27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f71,negated_conjecture,
( ~ hskp13
| c0_1(a21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( ~ hskp13
| c2_1(a21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( ~ hskp12
| c2_1(a20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( ~ hskp11
| c2_1(a19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( ~ hskp10
| c3_1(a18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( ~ hskp9
| c0_1(a16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp9
| c1_1(a16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( ~ hskp7
| c1_1(a14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( ~ hskp5
| c0_1(a11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp4
| c0_1(a9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( ~ hskp3
| c0_1(a7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( ~ hskp3
| c3_1(a7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( ~ hskp2
| c1_1(a3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( ~ hskp2
| c3_1(a3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( ~ hskp0
| c1_1(a1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( ~ hskp0
| c2_1(a1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f88,negated_conjecture,
( ~ c1_1(a70)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f89,negated_conjecture,
( ~ c3_1(a70)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( ~ c0_1(a58)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( ~ c1_1(a58)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f95,negated_conjecture,
( ~ c2_1(a38)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f96,negated_conjecture,
( ~ c0_1(a37)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f97,negated_conjecture,
( ~ c1_1(a36)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ c0_1(a31)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ c3_1(a31)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ c0_1(a28)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ c2_1(a28)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ c1_1(a27)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f107,negated_conjecture,
( ~ c3_1(a21)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ c1_1(a20)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ c3_1(a20)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ c0_1(a19)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ c3_1(a19)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ c0_1(a18)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ c1_1(a18)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ c3_1(a16)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ c1_1(a15)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ c2_1(a15)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ c3_1(a15)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ c0_1(a14)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ c2_1(a14)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ c0_1(a13)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ c1_1(a13)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ c3_1(a13)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ c1_1(a11)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ c2_1(a11)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ c2_1(a9)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ c3_1(a9)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ c2_1(a7)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ c2_1(a3)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ c0_1(a2)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ c2_1(a2)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
( ~ c3_1(a2)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ c3_1(a1)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f133,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c3_1(X0)
| hskp0
| hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c3_1(X0)
| hskp2
| hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f136,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| c3_1(X0)
| hskp21
| hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f137,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| hskp3
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f146,negated_conjecture,
! [X0] :
( ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| hskp13
| hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f149,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp22
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f151,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp21
| hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f160,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp24
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f161,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp29
| hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f162,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp28
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
fof(f163,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp21
| hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f164,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| hskp19
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f165,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp27
| hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f169,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp3
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f171,negated_conjecture,
! [X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f173,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c3_1(X0)
| c0_1(X1)
| c3_1(X1)
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X0)
| c1_1(X1)
| c3_1(X1)
| hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f183,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f185,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f187,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).
fof(f188,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X0)
| c3_1(X1)
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).
fof(f189,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).
fof(f190,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).
fof(f192,negated_conjecture,
! [X2,X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
fof(f193,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X0)
| c3_1(X0)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X1)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).
fof(f194,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).
fof(f195,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
fof(f196,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X2)
| c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
fof(f197,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X0)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).
fof(f198,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).
fof(f199,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X2)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).
fof(f200,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X2)
| c3_1(X0)
| c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).
fof(f201,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2)
| c3_1(X0)
| c2_1(X1)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).
fof(f202,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2)
| c2_1(X1)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).
fof(f203,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ c1_1(X2)
| c3_1(X0)
| c2_1(X1)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).
fof(f204,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).
fof(f206,definition,
( spl0_1
<=> ! [X2] :
( ~ c2_1(X2)
| c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f207,plain,
( ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f209,definition,
( spl0_2
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f210,plain,
( ! [X1] :
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f215,definition,
( spl0_4
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f216,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f217,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f204,f215,f212,f209,f206]) ).
fof(f219,definition,
( spl0_5
<=> ! [X2] :
( ~ c0_1(X2)
| c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f220,plain,
( ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| ~ c0_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f222,definition,
( spl0_6
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f223,plain,
( ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f225,definition,
( spl0_7
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f226,plain,
( ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f227,plain,
( spl0_5
| spl0_6
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f203,f225,f212,f222,f219]) ).
fof(f229,definition,
( spl0_8
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f230,plain,
( ! [X2] :
( c1_1(X2)
| c2_1(X2)
| ~ c3_1(X2) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f232,definition,
( spl0_9
<=> ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f233,plain,
( ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f235,definition,
( spl0_10
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f236,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f237,plain,
( spl0_8
| spl0_9
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f202,f235,f212,f232,f229]) ).
fof(f239,definition,
( spl0_11
<=> ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f240,plain,
( ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f241,plain,
( spl0_8
| spl0_6
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f201,f239,f212,f222,f229]) ).
fof(f243,definition,
( spl0_12
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f244,plain,
( ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ c3_1(X2) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f246,definition,
( spl0_13
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f247,plain,
( ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( spl0_12
| spl0_13
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f200,f239,f212,f246,f243]) ).
fof(f250,definition,
( spl0_14
<=> ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f251,plain,
( ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f253,definition,
( spl0_15
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f254,plain,
( ! [X1] :
( c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f256,definition,
( spl0_16
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f257,plain,
( ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f258,plain,
( spl0_14
| spl0_15
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f199,f256,f212,f253,f250]) ).
fof(f260,definition,
( spl0_17
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f261,plain,
( ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c2_1(X2) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,definition,
( spl0_18
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f264,plain,
( ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f265,plain,
( spl0_17
| spl0_18
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f198,f239,f212,f263,f260]) ).
fof(f267,definition,
( spl0_19
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f268,plain,
( ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c0_1(X2) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f269,plain,
( spl0_19
| spl0_5
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f197,f232,f212,f219,f267]) ).
fof(f271,definition,
( spl0_20
<=> ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f272,plain,
( ! [X2] :
( c1_1(X2)
| ~ c3_1(X2)
| c0_1(X2) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f274,definition,
( spl0_21
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f275,plain,
( ! [X0] :
( c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f276,plain,
( spl0_20
| spl0_12
| ~ spl0_3
| spl0_21 ),
inference(avatar_split_clause,[],[f196,f274,f212,f243,f271]) ).
fof(f278,definition,
( spl0_22
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f280,plain,
( spl0_22
| spl0_10
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f195,f215,f212,f235,f278]) ).
fof(f282,definition,
( spl0_23
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f285,definition,
( spl0_24
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f286,plain,
( ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f287,plain,
( spl0_23
| spl0_24
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f194,f235,f212,f285,f282]) ).
fof(f289,definition,
( spl0_25
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f290,plain,
( ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X2) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,definition,
( spl0_26
<=> ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f293,plain,
( ! [X1] :
( c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f295,definition,
( spl0_27
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f296,plain,
( ! [X0] :
( c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f297,plain,
( spl0_25
| spl0_26
| ~ spl0_3
| spl0_27 ),
inference(avatar_split_clause,[],[f193,f295,f212,f292,f289]) ).
fof(f298,plain,
( spl0_17
| spl0_25
| ~ spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f192,f253,f212,f289,f260]) ).
fof(f303,definition,
( spl0_29
<=> ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f304,plain,
( ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f307,definition,
( spl0_30
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f309,plain,
( spl0_30
| spl0_7
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f190,f235,f212,f225,f307]) ).
fof(f311,definition,
( spl0_31
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f313,plain,
( spl0_31
| spl0_18
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f189,f235,f212,f263,f311]) ).
fof(f315,definition,
( spl0_32
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f318,definition,
( spl0_33
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f319,plain,
( ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f320,plain,
( spl0_32
| spl0_33
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f188,f239,f212,f318,f315]) ).
fof(f322,definition,
( spl0_34
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f324,plain,
( spl0_34
| spl0_9
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f187,f239,f212,f232,f322]) ).
fof(f326,definition,
( spl0_35
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f332,plain,
( spl0_35
| spl0_1
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f185,f239,f212,f206,f326]) ).
fof(f334,plain,
( spl0_34
| spl0_14
| ~ spl0_3
| spl0_24 ),
inference(avatar_split_clause,[],[f183,f285,f212,f250,f322]) ).
fof(f336,definition,
( spl0_37
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f340,definition,
( spl0_38
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f342,plain,
( spl0_38
| spl0_27
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f181,f263,f212,f295,f340]) ).
fof(f343,plain,
( spl0_32
| spl0_26
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f180,f239,f212,f292,f315]) ).
fof(f344,plain,
( spl0_31
| spl0_12
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f179,f225,f212,f243,f311]) ).
fof(f346,definition,
( spl0_39
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f350,definition,
( spl0_40
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f354,definition,
( spl0_41
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f357,definition,
( spl0_42
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f358,plain,
( ! [X1] :
( c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f359,plain,
( spl0_41
| spl0_42
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f176,f232,f212,f357,f354]) ).
fof(f364,plain,
( spl0_32
| spl0_17
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f174,f232,f212,f260,f315]) ).
fof(f366,definition,
( spl0_44
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f368,plain,
( spl0_44
| spl0_17
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f173,f219,f212,f260,f366]) ).
fof(f370,definition,
( spl0_45
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f372,plain,
( spl0_45
| spl0_17
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f172,f206,f212,f260,f370]) ).
fof(f374,definition,
( spl0_46
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f376,plain,
( spl0_46
| spl0_42
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f171,f229,f212,f357,f374]) ).
fof(f378,definition,
( spl0_47
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f380,plain,
( spl0_47
| spl0_17
| ~ spl0_3
| spl0_29 ),
inference(avatar_split_clause,[],[f170,f303,f212,f260,f378]) ).
fof(f382,definition,
( spl0_48
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f385,definition,
( spl0_49
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f387,plain,
( spl0_48
| spl0_49
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f169,f215,f212,f385,f382]) ).
fof(f390,definition,
( spl0_50
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f398,definition,
( spl0_52
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f400,plain,
( spl0_52
| spl0_44
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f165,f235,f212,f366,f398]) ).
fof(f402,definition,
( spl0_53
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f404,plain,
( spl0_39
| spl0_53
| ~ spl0_3
| spl0_24 ),
inference(avatar_split_clause,[],[f164,f285,f212,f402,f346]) ).
fof(f406,definition,
( spl0_54
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f408,plain,
( spl0_40
| spl0_54
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f163,f225,f212,f406,f350]) ).
fof(f410,definition,
( spl0_55
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f412,plain,
( spl0_45
| spl0_55
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f162,f232,f212,f410,f370]) ).
fof(f414,definition,
( spl0_56
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f416,plain,
( spl0_34
| spl0_56
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f161,f222,f212,f414,f322]) ).
fof(f417,plain,
( spl0_32
| spl0_48
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f160,f219,f212,f382,f315]) ).
fof(f419,definition,
( spl0_57
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f436,definition,
( spl0_61
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f441,plain,
( spl0_57
| spl0_54
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f151,f206,f212,f406,f419]) ).
fof(f446,plain,
( spl0_31
| spl0_50
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f149,f256,f212,f390,f311]) ).
fof(f449,plain,
( spl0_38
| spl0_61
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f146,f229,f212,f436,f340]) ).
fof(f461,plain,
( spl0_45
| spl0_49
| ~ spl0_3
| spl0_42 ),
inference(avatar_split_clause,[],[f137,f357,f212,f385,f370]) ).
fof(f462,plain,
( spl0_35
| spl0_54
| spl0_25
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f136,f212,f289,f406,f326]) ).
fof(f464,plain,
( spl0_41
| spl0_46
| spl0_19
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f134,f212,f267,f374,f354]) ).
fof(f465,plain,
( spl0_41
| spl0_45
| spl0_19
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f133,f212,f267,f370,f354]) ).
fof(f468,definition,
( spl0_64
<=> c3_1(a1) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f470,plain,
( ~ spl0_45
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f132,f468,f370]) ).
fof(f473,definition,
( spl0_65
<=> c3_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f475,plain,
( ~ spl0_41
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f131,f473,f354]) ).
fof(f477,definition,
( spl0_66
<=> c2_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f479,plain,
( ~ spl0_41
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f130,f477,f354]) ).
fof(f481,definition,
( spl0_67
<=> c0_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f482,plain,
( ~ c0_1(a2)
| spl0_67 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f483,plain,
( ~ spl0_41
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f129,f481,f354]) ).
fof(f486,definition,
( spl0_68
<=> c2_1(a3) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f488,plain,
( ~ spl0_46
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f128,f486,f374]) ).
fof(f491,definition,
( spl0_69
<=> c2_1(a7) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f493,plain,
( ~ spl0_49
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f127,f491,f385]) ).
fof(f496,definition,
( spl0_70
<=> c3_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f498,plain,
( ~ spl0_37
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f126,f496,f336]) ).
fof(f500,definition,
( spl0_71
<=> c2_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f502,plain,
( ~ spl0_37
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f125,f500,f336]) ).
fof(f505,definition,
( spl0_72
<=> c2_1(a11) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f507,plain,
( ~ spl0_47
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f124,f505,f378]) ).
fof(f509,definition,
( spl0_73
<=> c1_1(a11) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f510,plain,
( ~ c1_1(a11)
| spl0_73 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f511,plain,
( ~ spl0_47
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f123,f509,f378]) ).
fof(f514,definition,
( spl0_74
<=> c3_1(a13) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f516,plain,
( ~ spl0_32
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f122,f514,f315]) ).
fof(f518,definition,
( spl0_75
<=> c1_1(a13) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f519,plain,
( ~ c1_1(a13)
| spl0_75 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f520,plain,
( ~ spl0_32
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f121,f518,f315]) ).
fof(f522,definition,
( spl0_76
<=> c0_1(a13) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f523,plain,
( ~ c0_1(a13)
| spl0_76 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f524,plain,
( ~ spl0_32
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f120,f522,f315]) ).
fof(f527,definition,
( spl0_77
<=> c2_1(a14) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f529,plain,
( ~ spl0_23
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f119,f527,f282]) ).
fof(f531,definition,
( spl0_78
<=> c0_1(a14) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f533,plain,
( ~ spl0_23
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f118,f531,f282]) ).
fof(f536,definition,
( spl0_79
<=> c3_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f538,plain,
( ~ spl0_30
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f117,f536,f307]) ).
fof(f540,definition,
( spl0_80
<=> c2_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f542,plain,
( ~ spl0_30
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f116,f540,f307]) ).
fof(f544,definition,
( spl0_81
<=> c1_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f545,plain,
( ~ c1_1(a15)
| spl0_81 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f546,plain,
( ~ spl0_30
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f115,f544,f307]) ).
fof(f549,definition,
( spl0_82
<=> c3_1(a16) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f551,plain,
( ~ spl0_34
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f114,f549,f322]) ).
fof(f554,definition,
( spl0_83
<=> c1_1(a18) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f555,plain,
( ~ c1_1(a18)
| spl0_83 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f556,plain,
( ~ spl0_40
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f113,f554,f350]) ).
fof(f558,definition,
( spl0_84
<=> c0_1(a18) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f559,plain,
( ~ c0_1(a18)
| spl0_84 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f560,plain,
( ~ spl0_40
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f112,f558,f350]) ).
fof(f563,definition,
( spl0_85
<=> c3_1(a19) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f565,plain,
( ~ spl0_39
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f111,f563,f346]) ).
fof(f567,definition,
( spl0_86
<=> c0_1(a19) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f568,plain,
( ~ c0_1(a19)
| spl0_86 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f569,plain,
( ~ spl0_39
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f110,f567,f346]) ).
fof(f572,definition,
( spl0_87
<=> c3_1(a20) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f574,plain,
( ~ spl0_31
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f109,f572,f311]) ).
fof(f576,definition,
( spl0_88
<=> c1_1(a20) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f577,plain,
( ~ c1_1(a20)
| spl0_88 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f578,plain,
( ~ spl0_31
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f108,f576,f311]) ).
fof(f581,definition,
( spl0_89
<=> c3_1(a21) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f583,plain,
( ~ spl0_61
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f107,f581,f436]) ).
fof(f604,definition,
( spl0_94
<=> c1_1(a27) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f605,plain,
( ~ c1_1(a27)
| spl0_94 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f606,plain,
( ~ spl0_52
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f102,f604,f398]) ).
fof(f609,definition,
( spl0_95
<=> c2_1(a28) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f610,plain,
( ~ c2_1(a28)
| spl0_95 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f611,plain,
( ~ spl0_57
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f101,f609,f419]) ).
fof(f613,definition,
( spl0_96
<=> c0_1(a28) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f614,plain,
( ~ c0_1(a28)
| spl0_96 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f615,plain,
( ~ spl0_57
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f100,f613,f419]) ).
fof(f618,definition,
( spl0_97
<=> c3_1(a31) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f620,plain,
( ~ spl0_38
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f99,f618,f340]) ).
fof(f622,definition,
( spl0_98
<=> c0_1(a31) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f623,plain,
( ~ c0_1(a31)
| spl0_98 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f624,plain,
( ~ spl0_38
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f98,f622,f340]) ).
fof(f627,definition,
( spl0_99
<=> c1_1(a36) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f628,plain,
( ~ c1_1(a36)
| spl0_99 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f629,plain,
( ~ spl0_53
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f97,f627,f402]) ).
fof(f632,definition,
( spl0_100
<=> c0_1(a37) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f633,plain,
( ~ c0_1(a37)
| spl0_100 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f634,plain,
( ~ spl0_35
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f96,f632,f326]) ).
fof(f637,definition,
( spl0_101
<=> c2_1(a38) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f639,plain,
( ~ spl0_54
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f95,f637,f406]) ).
fof(f656,definition,
( spl0_105
<=> c1_1(a58) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f657,plain,
( ~ c1_1(a58)
| spl0_105 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f658,plain,
( ~ spl0_48
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f91,f656,f382]) ).
fof(f660,definition,
( spl0_106
<=> c0_1(a58) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f661,plain,
( ~ c0_1(a58)
| spl0_106 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f662,plain,
( ~ spl0_48
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f90,f660,f382]) ).
fof(f665,definition,
( spl0_107
<=> c3_1(a70) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f667,plain,
( ~ spl0_22
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f89,f665,f278]) ).
fof(f669,definition,
( spl0_108
<=> c1_1(a70) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f670,plain,
( ~ c1_1(a70)
| spl0_108 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f671,plain,
( ~ spl0_22
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f88,f669,f278]) ).
fof(f680,definition,
( spl0_111
<=> c2_1(a1) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f682,plain,
( spl0_111
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f86,f370,f680]) ).
fof(f684,definition,
( spl0_112
<=> c1_1(a1) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f685,plain,
( c1_1(a1)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f686,plain,
( spl0_112
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f85,f370,f684]) ).
fof(f688,definition,
( spl0_113
<=> c3_1(a3) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f690,plain,
( spl0_113
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f84,f374,f688]) ).
fof(f692,definition,
( spl0_114
<=> c1_1(a3) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f693,plain,
( c1_1(a3)
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f694,plain,
( spl0_114
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f83,f374,f692]) ).
fof(f696,definition,
( spl0_115
<=> c3_1(a7) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f698,plain,
( spl0_115
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f82,f385,f696]) ).
fof(f700,definition,
( spl0_116
<=> c0_1(a7) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f701,plain,
( c0_1(a7)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f702,plain,
( spl0_116
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f81,f385,f700]) ).
fof(f704,definition,
( spl0_117
<=> c0_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f705,plain,
( c0_1(a9)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f706,plain,
( spl0_117
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f80,f336,f704]) ).
fof(f708,definition,
( spl0_118
<=> c0_1(a11) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f709,plain,
( c0_1(a11)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f710,plain,
( spl0_118
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f79,f378,f708]) ).
fof(f712,definition,
( spl0_119
<=> c1_1(a14) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f713,plain,
( c1_1(a14)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f714,plain,
( spl0_119
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f78,f282,f712]) ).
fof(f716,definition,
( spl0_120
<=> c1_1(a16) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f717,plain,
( c1_1(a16)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f718,plain,
( spl0_120
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f77,f322,f716]) ).
fof(f720,definition,
( spl0_121
<=> c0_1(a16) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f721,plain,
( c0_1(a16)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f722,plain,
( spl0_121
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f76,f322,f720]) ).
fof(f724,definition,
( spl0_122
<=> c3_1(a18) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f726,plain,
( spl0_122
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f75,f350,f724]) ).
fof(f728,definition,
( spl0_123
<=> c2_1(a19) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f730,plain,
( spl0_123
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f74,f346,f728]) ).
fof(f732,definition,
( spl0_124
<=> c2_1(a20) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f734,plain,
( spl0_124
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f73,f311,f732]) ).
fof(f736,definition,
( spl0_125
<=> c2_1(a21) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f738,plain,
( spl0_125
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f72,f436,f736]) ).
fof(f740,definition,
( spl0_126
<=> c0_1(a21) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f741,plain,
( c0_1(a21)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f742,plain,
( spl0_126
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f71,f436,f740]) ).
fof(f752,definition,
( spl0_129
<=> c3_1(a27) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f754,plain,
( spl0_129
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f68,f398,f752]) ).
fof(f756,definition,
( spl0_130
<=> c0_1(a27) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f757,plain,
( c0_1(a27)
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f758,plain,
( spl0_130
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f67,f398,f756]) ).
fof(f760,definition,
( spl0_131
<=> c3_1(a28) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f761,plain,
( c3_1(a28)
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f762,plain,
( spl0_131
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f66,f419,f760]) ).
fof(f764,definition,
( spl0_132
<=> c1_1(a31) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f765,plain,
( c1_1(a31)
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f766,plain,
( spl0_132
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f65,f340,f764]) ).
fof(f768,definition,
( spl0_133
<=> c3_1(a36) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f770,plain,
( spl0_133
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f64,f402,f768]) ).
fof(f772,definition,
( spl0_134
<=> c2_1(a36) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f774,plain,
( spl0_134
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f63,f402,f772]) ).
fof(f776,definition,
( spl0_135
<=> c3_1(a37) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f778,plain,
( spl0_135
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f62,f326,f776]) ).
fof(f780,definition,
( spl0_136
<=> c1_1(a37) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f781,plain,
( c1_1(a37)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f782,plain,
( spl0_136
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f61,f326,f780]) ).
fof(f784,definition,
( spl0_137
<=> c1_1(a38) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f785,plain,
( c1_1(a38)
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f786,plain,
( spl0_137
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f60,f406,f784]) ).
fof(f788,definition,
( spl0_138
<=> c0_1(a38) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f790,plain,
( spl0_138
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f59,f406,f788]) ).
fof(f792,definition,
( spl0_139
<=> c2_1(a42) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f794,plain,
( spl0_139
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f58,f390,f792]) ).
fof(f796,definition,
( spl0_140
<=> c0_1(a42) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f797,plain,
( c0_1(a42)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f798,plain,
( spl0_140
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f57,f390,f796]) ).
fof(f804,definition,
( spl0_142
<=> c2_1(a58) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f806,plain,
( spl0_142
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f55,f382,f804]) ).
fof(f808,definition,
( spl0_143
<=> c0_1(a70) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f810,plain,
( spl0_143
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f54,f278,f808]) ).
fof(f820,definition,
( spl0_146
<=> c3_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f823,plain,
( spl0_146
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f51,f366,f820]) ).
fof(f825,definition,
( spl0_147
<=> c1_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f826,plain,
( c1_1(a12)
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f827,plain,
( spl0_147
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f50,f366,f825]) ).
fof(f829,definition,
( spl0_148
<=> c0_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f830,plain,
( c0_1(a12)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f831,plain,
( spl0_148
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f49,f366,f829]) ).
fof(f833,definition,
( spl0_149
<=> c3_1(a25) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f836,plain,
( spl0_149
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f48,f410,f833]) ).
fof(f838,definition,
( spl0_150
<=> c2_1(a25) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f840,plain,
( spl0_150
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f47,f410,f838]) ).
fof(f842,definition,
( spl0_151
<=> c1_1(a25) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f843,plain,
( c1_1(a25)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f844,plain,
( spl0_151
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f46,f410,f842]) ).
fof(f846,definition,
( spl0_152
<=> c2_1(a35) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f849,plain,
( spl0_152
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f45,f414,f846]) ).
fof(f851,definition,
( spl0_153
<=> c1_1(a35) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f852,plain,
( c1_1(a35)
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f853,plain,
( spl0_153
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f44,f414,f851]) ).
fof(f855,definition,
( spl0_154
<=> c0_1(a35) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f857,plain,
( spl0_154
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f43,f414,f855]) ).
fof(f873,plain,
( spl0_55
| spl0_22
| spl0_47 ),
inference(avatar_split_clause,[],[f37,f378,f278,f410]) ).
fof(f874,plain,
( spl0_46
| spl0_37
| spl0_52 ),
inference(avatar_split_clause,[],[f36,f398,f336,f374]) ).
fof(f875,plain,
( spl0_57
| spl0_46
| spl0_34 ),
inference(avatar_split_clause,[],[f35,f322,f374,f419]) ).
fof(f876,plain,
( spl0_48
| spl0_61
| spl0_54 ),
inference(avatar_split_clause,[],[f34,f406,f436,f382]) ).
fof(f877,plain,
( spl0_30
| spl0_61
| spl0_44 ),
inference(avatar_split_clause,[],[f33,f366,f436,f307]) ).
fof(f886,plain,
( spl0_3
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f26,f378,f212]) ).
fof(f906,plain,
( spl0_3
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f6,f278,f212]) ).
fof(f909,plain,
( spl0_3
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f3,f410,f212]) ).
fof(f913,plain,
( c2_1(a11)
| ~ c3_1(a11)
| ~ spl0_6
| ~ spl0_118 ),
inference(resolution,[],[f223,f709]) ).
fof(f916,definition,
( spl0_158
<=> c3_1(a11) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f919,plain,
( ~ spl0_158
| spl0_72
| ~ spl0_6
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f913,f708,f222,f505,f916]) ).
fof(f926,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f233,f230]) ).
fof(f927,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_8
| ~ spl0_9 ),
inference(duplicate_literal_removal,[],[f926]) ).
fof(f930,plain,
( ~ c3_1(a28)
| ~ spl0_8
| ~ spl0_9
| spl0_95 ),
inference(resolution,[],[f927,f610]) ).
fof(f935,plain,
( $false
| ~ spl0_8
| ~ spl0_9
| spl0_95
| ~ spl0_131 ),
inference(resolution,[],[f930,f761]) ).
fof(f936,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_95
| ~ spl0_131 ),
inference(avatar_contradiction_clause,[],[f935]) ).
fof(f956,definition,
( spl0_160
<=> c2_1(a16) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f964,definition,
( spl0_161
<=> c2_1(a18) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f969,plain,
( ~ c3_1(a37)
| ~ c2_1(a37)
| ~ spl0_4
| ~ spl0_136 ),
inference(resolution,[],[f781,f216]) ).
fof(f971,definition,
( spl0_162
<=> c2_1(a37) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f974,plain,
( ~ spl0_162
| ~ spl0_135
| ~ spl0_4
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f969,f780,f215,f776,f971]) ).
fof(f979,definition,
( spl0_163
<=> c3_1(a38) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f986,plain,
( c2_1(a38)
| ~ c3_1(a38)
| ~ spl0_9
| ~ spl0_137 ),
inference(resolution,[],[f233,f785]) ).
fof(f987,plain,
( c2_1(a37)
| ~ c3_1(a37)
| ~ spl0_9
| ~ spl0_136 ),
inference(resolution,[],[f233,f781]) ).
fof(f992,plain,
( ~ spl0_135
| spl0_162
| ~ spl0_9
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f987,f780,f232,f971,f776]) ).
fof(f993,plain,
( ~ spl0_163
| spl0_101
| ~ spl0_9
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f986,f784,f232,f637,f979]) ).
fof(f995,plain,
( ~ c2_1(a37)
| ~ c3_1(a37)
| ~ spl0_1
| spl0_100 ),
inference(resolution,[],[f207,f633]) ).
fof(f998,plain,
( ~ c2_1(a18)
| ~ c3_1(a18)
| ~ spl0_1
| spl0_84 ),
inference(resolution,[],[f207,f559]) ).
fof(f1003,plain,
( ~ spl0_122
| ~ spl0_161
| ~ spl0_1
| spl0_84 ),
inference(avatar_split_clause,[],[f998,f558,f206,f964,f724]) ).
fof(f1012,plain,
( ~ c3_1(a35)
| ~ c0_1(a35)
| ~ spl0_10
| ~ spl0_153 ),
inference(resolution,[],[f852,f236]) ).
fof(f1016,definition,
( spl0_164
<=> c3_1(a35) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1025,plain,
( c2_1(a38)
| ~ c0_1(a38)
| ~ spl0_5
| ~ spl0_137 ),
inference(resolution,[],[f220,f785]) ).
fof(f1031,plain,
( ~ spl0_138
| spl0_101
| ~ spl0_5
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1025,f784,f219,f637,f788]) ).
fof(f1040,plain,
( c2_1(a3)
| ~ c3_1(a3)
| ~ spl0_9
| ~ spl0_114 ),
inference(resolution,[],[f693,f233]) ).
fof(f1043,plain,
( ~ spl0_113
| spl0_68
| ~ spl0_9
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1040,f692,f232,f486,f688]) ).
fof(f1050,plain,
( c2_1(a7)
| ~ c3_1(a7)
| ~ spl0_6
| ~ spl0_116 ),
inference(resolution,[],[f701,f223]) ).
fof(f1053,plain,
( ~ spl0_115
| spl0_69
| ~ spl0_6
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1050,f700,f222,f491,f696]) ).
fof(f1056,definition,
( spl0_166
<=> c3_1(a58) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1062,plain,
( c2_1(a12)
| ~ c0_1(a12)
| ~ spl0_5
| ~ spl0_147 ),
inference(resolution,[],[f826,f220]) ).
fof(f1063,plain,
( c2_1(a12)
| ~ c3_1(a12)
| ~ spl0_9
| ~ spl0_147 ),
inference(resolution,[],[f826,f233]) ).
fof(f1066,definition,
( spl0_167
<=> c2_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
fof(f1068,plain,
( ~ spl0_146
| spl0_167
| ~ spl0_9
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1063,f825,f232,f1066,f820]) ).
fof(f1070,plain,
( ~ spl0_148
| spl0_167
| ~ spl0_5
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1062,f825,f219,f1066,f829]) ).
fof(f1071,plain,
( c2_1(a12)
| ~ c3_1(a12)
| ~ spl0_6
| ~ spl0_148 ),
inference(resolution,[],[f830,f223]) ).
fof(f1072,plain,
( ~ spl0_146
| spl0_167
| ~ spl0_6
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1071,f829,f222,f1066,f820]) ).
fof(f1074,plain,
( c3_1(a35)
| ~ c0_1(a35)
| ~ spl0_7
| ~ spl0_153 ),
inference(resolution,[],[f226,f852]) ).
fof(f1076,plain,
( c3_1(a38)
| ~ c0_1(a38)
| ~ spl0_7
| ~ spl0_137 ),
inference(resolution,[],[f226,f785]) ).
fof(f1078,plain,
( c3_1(a16)
| ~ c0_1(a16)
| ~ spl0_7
| ~ spl0_120 ),
inference(resolution,[],[f226,f717]) ).
fof(f1081,plain,
( ~ spl0_121
| spl0_82
| ~ spl0_7
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1078,f716,f225,f549,f720]) ).
fof(f1083,plain,
( ~ spl0_138
| spl0_163
| ~ spl0_7
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1076,f784,f225,f979,f788]) ).
fof(f1085,plain,
( ~ spl0_154
| spl0_164
| ~ spl0_7
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1074,f851,f225,f1016,f855]) ).
fof(f1089,plain,
( c2_1(a28)
| ~ c3_1(a28)
| ~ spl0_12
| spl0_96 ),
inference(resolution,[],[f244,f614]) ).
fof(f1091,plain,
( c2_1(a18)
| ~ c3_1(a18)
| ~ spl0_12
| spl0_84 ),
inference(resolution,[],[f244,f559]) ).
fof(f1099,plain,
( ~ spl0_131
| spl0_95
| ~ spl0_12
| spl0_96 ),
inference(avatar_split_clause,[],[f1089,f613,f243,f609,f760]) ).
fof(f1130,plain,
( c3_1(a1)
| ~ c2_1(a1)
| ~ spl0_11
| ~ spl0_112 ),
inference(resolution,[],[f240,f685]) ).
fof(f1131,plain,
( ~ spl0_111
| spl0_64
| ~ spl0_11
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1130,f684,f239,f468,f680]) ).
fof(f1146,definition,
( spl0_169
<=> c3_1(a42) ),
introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).
fof(f1159,plain,
( c3_1(a11)
| c2_1(a11)
| ~ spl0_16
| ~ spl0_118 ),
inference(resolution,[],[f257,f709]) ).
fof(f1160,plain,
( c3_1(a9)
| c2_1(a9)
| ~ spl0_16
| ~ spl0_117 ),
inference(resolution,[],[f257,f705]) ).
fof(f1167,definition,
( spl0_170
<=> c2_1(a70) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
fof(f1186,definition,
( spl0_171
<=> c2_1(a13) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
fof(f1194,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_11
| ~ spl0_18 ),
inference(resolution,[],[f264,f240]) ).
fof(f1195,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_7
| ~ spl0_18 ),
inference(resolution,[],[f264,f226]) ).
fof(f1204,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) )
| ~ spl0_7
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f1195]) ).
fof(f1205,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) )
| ~ spl0_11
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f1194]) ).
fof(f1211,plain,
( spl0_33
| ~ spl0_7
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1204,f263,f225,f318]) ).
fof(f1212,plain,
( spl0_33
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1205,f263,f239,f318]) ).
fof(f1225,plain,
( c2_1(a11)
| ~ c0_1(a11)
| ~ spl0_21
| spl0_73 ),
inference(resolution,[],[f275,f510]) ).
fof(f1238,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_9
| ~ spl0_20 ),
inference(resolution,[],[f272,f233]) ).
fof(f1246,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| c2_1(X0) )
| ~ spl0_9
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f1238]) ).
fof(f1254,plain,
( spl0_12
| ~ spl0_9
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1246,f271,f232,f243]) ).
fof(f1257,plain,
( spl0_72
| spl0_158
| ~ spl0_16
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1159,f708,f256,f916,f505]) ).
fof(f1259,plain,
( ~ spl0_118
| spl0_72
| ~ spl0_21
| spl0_73 ),
inference(avatar_split_clause,[],[f1225,f509,f274,f505,f708]) ).
fof(f1263,definition,
( spl0_173
<=> c2_1(a27) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
fof(f1276,plain,
( c2_1(a27)
| ~ c3_1(a27)
| ~ spl0_6
| ~ spl0_130 ),
inference(resolution,[],[f757,f223]) ).
fof(f1278,plain,
( ~ spl0_129
| spl0_173
| ~ spl0_6
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1276,f756,f222,f1263,f752]) ).
fof(f1295,plain,
( c2_1(a16)
| ~ c0_1(a16)
| ~ spl0_5
| ~ spl0_120 ),
inference(resolution,[],[f717,f220]) ).
fof(f1350,plain,
( c3_1(a13)
| c0_1(a13)
| ~ spl0_19
| spl0_75 ),
inference(resolution,[],[f268,f519]) ).
fof(f1356,definition,
( spl0_175
<=> c0_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
fof(f1362,definition,
( spl0_176
<=> c0_1(a20) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
fof(f1385,plain,
( spl0_76
| spl0_74
| ~ spl0_19
| spl0_75 ),
inference(avatar_split_clause,[],[f1350,f518,f267,f514,f522]) ).
fof(f1394,plain,
( ~ c3_1(a25)
| ~ c2_1(a25)
| ~ spl0_4
| ~ spl0_151 ),
inference(resolution,[],[f216,f843]) ).
fof(f1395,plain,
( ~ c3_1(a12)
| ~ c2_1(a12)
| ~ spl0_4
| ~ spl0_147 ),
inference(resolution,[],[f216,f826]) ).
fof(f1400,plain,
( ~ spl0_167
| ~ spl0_146
| ~ spl0_4
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1395,f825,f215,f820,f1066]) ).
fof(f1403,plain,
( ~ spl0_150
| ~ spl0_149
| ~ spl0_4
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1394,f842,f215,f833,f838]) ).
fof(f1413,plain,
( ~ c2_1(a58)
| ~ c3_1(a58)
| ~ spl0_1
| spl0_106 ),
inference(resolution,[],[f661,f207]) ).
fof(f1414,plain,
( ~ spl0_166
| ~ spl0_142
| ~ spl0_1
| spl0_106 ),
inference(avatar_split_clause,[],[f1413,f660,f206,f804,f1056]) ).
fof(f1478,plain,
( ~ c2_1(a35)
| ~ c0_1(a35)
| ~ spl0_24
| ~ spl0_153 ),
inference(resolution,[],[f286,f852]) ).
fof(f1479,plain,
( ~ c2_1(a12)
| ~ c0_1(a12)
| ~ spl0_24
| ~ spl0_147 ),
inference(resolution,[],[f286,f826]) ).
fof(f1493,plain,
( c2_1(a14)
| c0_1(a14)
| ~ spl0_14
| ~ spl0_119 ),
inference(resolution,[],[f251,f713]) ).
fof(f1497,plain,
( spl0_78
| spl0_77
| ~ spl0_14
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1493,f712,f250,f527,f531]) ).
fof(f1508,plain,
( ~ spl0_154
| ~ spl0_152
| ~ spl0_24
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1478,f851,f285,f846,f855]) ).
fof(f1509,plain,
( ~ spl0_148
| ~ spl0_167
| ~ spl0_24
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1479,f825,f285,f1066,f829]) ).
fof(f1515,plain,
( c3_1(a16)
| ~ c2_1(a16)
| ~ spl0_11
| ~ spl0_120 ),
inference(resolution,[],[f717,f240]) ).
fof(f1517,plain,
( ~ spl0_160
| spl0_82
| ~ spl0_11
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1515,f716,f239,f549,f956]) ).
fof(f1526,plain,
( ~ c3_1(a42)
| ~ c2_1(a42)
| ~ spl0_2
| ~ spl0_140 ),
inference(resolution,[],[f210,f797]) ).
fof(f1534,plain,
( ~ spl0_139
| ~ spl0_169
| ~ spl0_2
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1526,f796,f209,f1146,f792]) ).
fof(f1538,plain,
( ~ spl0_154
| ~ spl0_164
| ~ spl0_10
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1012,f851,f235,f1016,f855]) ).
fof(f1542,plain,
( ~ c3_1(a12)
| ~ c0_1(a12)
| ~ spl0_10
| ~ spl0_147 ),
inference(resolution,[],[f236,f826]) ).
fof(f1547,plain,
( ~ spl0_148
| ~ spl0_146
| ~ spl0_10
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1542,f825,f235,f820,f829]) ).
fof(f1589,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_11
| ~ spl0_19 ),
inference(resolution,[],[f268,f240]) ).
fof(f1597,plain,
( c3_1(a20)
| c0_1(a20)
| ~ spl0_19
| spl0_88 ),
inference(resolution,[],[f268,f577]) ).
fof(f1601,plain,
( c3_1(a15)
| c0_1(a15)
| ~ spl0_19
| spl0_81 ),
inference(resolution,[],[f268,f545]) ).
fof(f1602,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_11
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f1589]) ).
fof(f1604,plain,
( spl0_175
| spl0_79
| ~ spl0_19
| spl0_81 ),
inference(avatar_split_clause,[],[f1601,f544,f267,f536,f1356]) ).
fof(f1606,plain,
( spl0_176
| spl0_87
| ~ spl0_19
| spl0_88 ),
inference(avatar_split_clause,[],[f1597,f576,f267,f572,f1362]) ).
fof(f1608,plain,
( spl0_26
| ~ spl0_11
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1602,f267,f239,f292]) ).
fof(f1669,plain,
( c3_1(a58)
| ~ c2_1(a58)
| ~ spl0_26
| spl0_106 ),
inference(resolution,[],[f293,f661]) ).
fof(f1671,plain,
( c3_1(a19)
| ~ c2_1(a19)
| ~ spl0_26
| spl0_86 ),
inference(resolution,[],[f293,f568]) ).
fof(f1681,plain,
( ~ spl0_123
| spl0_85
| ~ spl0_26
| spl0_86 ),
inference(avatar_split_clause,[],[f1671,f567,f292,f563,f728]) ).
fof(f1682,plain,
( ~ spl0_142
| spl0_166
| ~ spl0_26
| spl0_106 ),
inference(avatar_split_clause,[],[f1669,f660,f292,f1056,f804]) ).
fof(f1687,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_11
| ~ spl0_27 ),
inference(resolution,[],[f296,f240]) ).
fof(f1700,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_11
| ~ spl0_27 ),
inference(duplicate_literal_removal,[],[f1687]) ).
fof(f1710,plain,
( spl0_33
| ~ spl0_11
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1700,f295,f239,f318]) ).
fof(f1712,plain,
( c3_1(a31)
| ~ c2_1(a31)
| ~ spl0_26
| spl0_98 ),
inference(resolution,[],[f623,f293]) ).
fof(f1715,definition,
( spl0_180
<=> c2_1(a31) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
fof(f1720,plain,
( ~ spl0_180
| spl0_97
| ~ spl0_26
| spl0_98 ),
inference(avatar_split_clause,[],[f1712,f622,f292,f618,f1715]) ).
fof(f1722,plain,
( ~ spl0_122
| spl0_161
| ~ spl0_12
| spl0_84 ),
inference(avatar_split_clause,[],[f1091,f558,f243,f964,f724]) ).
fof(f1734,plain,
( c3_1(a31)
| ~ c2_1(a31)
| ~ spl0_11
| ~ spl0_132 ),
inference(resolution,[],[f765,f240]) ).
fof(f1737,plain,
( ~ spl0_180
| spl0_97
| ~ spl0_11
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1734,f764,f239,f618,f1715]) ).
fof(f1749,plain,
( c2_1(a27)
| ~ c3_1(a27)
| ~ spl0_8
| spl0_94 ),
inference(resolution,[],[f230,f605]) ).
fof(f1751,plain,
( c2_1(a18)
| ~ c3_1(a18)
| ~ spl0_8
| spl0_83 ),
inference(resolution,[],[f230,f555]) ).
fof(f1759,plain,
( ~ spl0_122
| spl0_161
| ~ spl0_8
| spl0_83 ),
inference(avatar_split_clause,[],[f1751,f554,f229,f964,f724]) ).
fof(f1760,plain,
( ~ spl0_129
| spl0_173
| ~ spl0_8
| spl0_94 ),
inference(avatar_split_clause,[],[f1749,f604,f229,f1263,f752]) ).
fof(f1787,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_10
| ~ spl0_18 ),
inference(resolution,[],[f264,f236]) ).
fof(f1791,plain,
( ~ c0_1(a70)
| ~ c2_1(a70)
| ~ spl0_18
| spl0_108 ),
inference(resolution,[],[f264,f670]) ).
fof(f1794,plain,
( ~ c0_1(a27)
| ~ c2_1(a27)
| ~ spl0_18
| spl0_94 ),
inference(resolution,[],[f264,f605]) ).
fof(f1795,plain,
( ~ c0_1(a20)
| ~ c2_1(a20)
| ~ spl0_18
| spl0_88 ),
inference(resolution,[],[f264,f577]) ).
fof(f1801,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_10
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f1787]) ).
fof(f1805,plain,
( ~ spl0_124
| ~ spl0_176
| ~ spl0_18
| spl0_88 ),
inference(avatar_split_clause,[],[f1795,f576,f263,f1362,f732]) ).
fof(f1806,plain,
( ~ spl0_173
| ~ spl0_130
| ~ spl0_18
| spl0_94 ),
inference(avatar_split_clause,[],[f1794,f604,f263,f756,f1263]) ).
fof(f1808,plain,
( ~ spl0_170
| ~ spl0_143
| ~ spl0_18
| spl0_108 ),
inference(avatar_split_clause,[],[f1791,f669,f263,f808,f1167]) ).
fof(f1813,plain,
( ~ spl0_121
| spl0_160
| ~ spl0_5
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1295,f716,f219,f956,f720]) ).
fof(f1878,plain,
( ~ c2_1(a36)
| ~ c3_1(a36)
| ~ spl0_15
| spl0_99 ),
inference(resolution,[],[f254,f628]) ).
fof(f1886,plain,
( ~ spl0_133
| ~ spl0_134
| ~ spl0_15
| spl0_99 ),
inference(avatar_split_clause,[],[f1878,f627,f253,f772,f768]) ).
fof(f1887,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) )
| ~ spl0_13
| ~ spl0_21 ),
inference(resolution,[],[f275,f247]) ).
fof(f1903,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| c3_1(X0) )
| ~ spl0_13
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f1887]) ).
fof(f1908,plain,
( spl0_16
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1903,f274,f246,f256]) ).
fof(f1918,plain,
( ~ c3_1(a18)
| c0_1(a18)
| ~ spl0_20
| spl0_83 ),
inference(resolution,[],[f272,f555]) ).
fof(f1925,plain,
( spl0_84
| ~ spl0_122
| ~ spl0_20
| spl0_83 ),
inference(avatar_split_clause,[],[f1918,f554,f271,f724,f558]) ).
fof(f1929,plain,
( ~ spl0_135
| ~ spl0_162
| ~ spl0_1
| spl0_100 ),
inference(avatar_split_clause,[],[f995,f632,f206,f971,f776]) ).
fof(f1933,plain,
( spl0_71
| spl0_70
| ~ spl0_16
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1160,f704,f256,f496,f500]) ).
fof(f1952,plain,
( spl0_2
| ~ spl0_10
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1801,f263,f235,f209]) ).
fof(f1993,plain,
( c3_1(a9)
| c2_1(a9)
| ~ spl0_16
| ~ spl0_117 ),
inference(resolution,[],[f257,f705]) ).
fof(f1994,plain,
( spl0_71
| spl0_70
| ~ spl0_16
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1993,f704,f256,f496,f500]) ).
fof(f1998,plain,
( c2_1(a70)
| ~ c0_1(a70)
| ~ spl0_21
| spl0_108 ),
inference(resolution,[],[f275,f670]) ).
fof(f2013,plain,
( ~ spl0_143
| spl0_170
| ~ spl0_21
| spl0_108 ),
inference(avatar_split_clause,[],[f1998,f669,f274,f1167,f808]) ).
fof(f2017,plain,
( c3_1(a70)
| c2_1(a70)
| ~ spl0_25
| spl0_108 ),
inference(resolution,[],[f290,f670]) ).
fof(f2024,plain,
( c3_1(a15)
| c2_1(a15)
| ~ spl0_25
| spl0_81 ),
inference(resolution,[],[f290,f545]) ).
fof(f2025,plain,
( c3_1(a13)
| c2_1(a13)
| ~ spl0_25
| spl0_75 ),
inference(resolution,[],[f290,f519]) ).
fof(f2028,plain,
( spl0_171
| spl0_74
| ~ spl0_25
| spl0_75 ),
inference(avatar_split_clause,[],[f2025,f518,f289,f514,f1186]) ).
fof(f2029,plain,
( spl0_80
| spl0_79
| ~ spl0_25
| spl0_81 ),
inference(avatar_split_clause,[],[f2024,f544,f289,f536,f540]) ).
fof(f2031,plain,
( spl0_170
| spl0_107
| ~ spl0_25
| spl0_108 ),
inference(avatar_split_clause,[],[f2017,f669,f289,f665,f1167]) ).
fof(f2035,plain,
( c3_1(a70)
| ~ c0_1(a70)
| ~ spl0_27
| spl0_108 ),
inference(resolution,[],[f296,f670]) ).
fof(f2042,plain,
( c3_1(a15)
| ~ c0_1(a15)
| ~ spl0_27
| spl0_81 ),
inference(resolution,[],[f296,f545]) ).
fof(f2047,plain,
( ~ spl0_175
| spl0_79
| ~ spl0_27
| spl0_81 ),
inference(avatar_split_clause,[],[f2042,f544,f295,f536,f1356]) ).
fof(f2049,plain,
( ~ spl0_143
| spl0_107
| ~ spl0_27
| spl0_108 ),
inference(avatar_split_clause,[],[f2035,f669,f295,f665,f808]) ).
fof(f2053,plain,
( c3_1(a70)
| ~ c2_1(a70)
| ~ spl0_29
| spl0_108 ),
inference(resolution,[],[f304,f670]) ).
fof(f2057,plain,
( c3_1(a20)
| ~ c2_1(a20)
| ~ spl0_29
| spl0_88 ),
inference(resolution,[],[f304,f577]) ).
fof(f2064,plain,
( ~ spl0_124
| spl0_87
| ~ spl0_29
| spl0_88 ),
inference(avatar_split_clause,[],[f2057,f576,f303,f572,f732]) ).
fof(f2066,plain,
( ~ spl0_170
| spl0_107
| ~ spl0_29
| spl0_108 ),
inference(avatar_split_clause,[],[f2053,f669,f303,f665,f1167]) ).
fof(f2084,plain,
( c3_1(a31)
| c2_1(a31)
| ~ spl0_17
| spl0_98 ),
inference(resolution,[],[f261,f623]) ).
fof(f2092,plain,
( c3_1(a13)
| c2_1(a13)
| ~ spl0_17
| spl0_76 ),
inference(resolution,[],[f261,f523]) ).
fof(f2093,plain,
( c3_1(a2)
| c2_1(a2)
| ~ spl0_17
| spl0_67 ),
inference(resolution,[],[f261,f482]) ).
fof(f2096,plain,
( spl0_66
| spl0_65
| ~ spl0_17
| spl0_67 ),
inference(avatar_split_clause,[],[f2093,f481,f260,f473,f477]) ).
fof(f2097,plain,
( spl0_171
| spl0_74
| ~ spl0_17
| spl0_76 ),
inference(avatar_split_clause,[],[f2092,f522,f260,f514,f1186]) ).
fof(f2099,plain,
( spl0_180
| spl0_97
| ~ spl0_17
| spl0_98 ),
inference(avatar_split_clause,[],[f2084,f622,f260,f618,f1715]) ).
fof(f2102,plain,
( c3_1(a42)
| ~ c2_1(a42)
| ~ spl0_33
| ~ spl0_140 ),
inference(resolution,[],[f319,f797]) ).
fof(f2103,plain,
( c3_1(a21)
| ~ c2_1(a21)
| ~ spl0_33
| ~ spl0_126 ),
inference(resolution,[],[f319,f741]) ).
fof(f2104,plain,
( c3_1(a16)
| ~ c2_1(a16)
| ~ spl0_33
| ~ spl0_121 ),
inference(resolution,[],[f319,f721]) ).
fof(f2108,plain,
( ~ spl0_160
| spl0_82
| ~ spl0_33
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f2104,f720,f318,f549,f956]) ).
fof(f2111,plain,
( ~ spl0_125
| spl0_89
| ~ spl0_33
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2103,f740,f318,f581,f736]) ).
fof(f2112,plain,
( ~ spl0_139
| spl0_169
| ~ spl0_33
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f2102,f796,f318,f1146,f792]) ).
fof(f2136,plain,
( ~ c2_1(a58)
| c0_1(a58)
| ~ spl0_42
| spl0_105 ),
inference(resolution,[],[f358,f657]) ).
fof(f2143,plain,
( ~ c2_1(a13)
| c0_1(a13)
| ~ spl0_42
| spl0_75 ),
inference(resolution,[],[f358,f519]) ).
fof(f2144,plain,
( spl0_76
| ~ spl0_171
| ~ spl0_42
| spl0_75 ),
inference(avatar_split_clause,[],[f2143,f518,f357,f1186,f522]) ).
fof(f2148,plain,
( spl0_106
| ~ spl0_142
| ~ spl0_42
| spl0_105 ),
inference(avatar_split_clause,[],[f2136,f656,f357,f804,f660]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f217]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f227]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f237]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_6
| spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f241]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_11
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f248]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_14
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f258]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_11
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f265]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_5
| spl0_9
| spl0_19 ),
inference(sat_conversion,[],[f269]) ).
cnf(s9,plain,
( ~ spl0_3
| spl0_12
| spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f276]) ).
cnf(s10,plain,
( ~ spl0_3
| spl0_4
| spl0_10
| spl0_22 ),
inference(sat_conversion,[],[f280]) ).
cnf(s11,plain,
( ~ spl0_3
| spl0_10
| spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f287]) ).
cnf(s12,plain,
( ~ spl0_3
| spl0_25
| spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f297]) ).
cnf(s13,plain,
( ~ spl0_3
| spl0_15
| spl0_17
| spl0_25 ),
inference(sat_conversion,[],[f298]) ).
cnf(s15,plain,
( ~ spl0_3
| spl0_7
| spl0_10
| spl0_30 ),
inference(sat_conversion,[],[f309]) ).
cnf(s16,plain,
( ~ spl0_3
| spl0_10
| spl0_18
| spl0_31 ),
inference(sat_conversion,[],[f313]) ).
cnf(s17,plain,
( ~ spl0_3
| spl0_11
| spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f320]) ).
cnf(s18,plain,
( ~ spl0_3
| spl0_9
| spl0_11
| spl0_34 ),
inference(sat_conversion,[],[f324]) ).
cnf(s20,plain,
( spl0_1
| ~ spl0_3
| spl0_11
| spl0_35 ),
inference(sat_conversion,[],[f332]) ).
cnf(s22,plain,
( ~ spl0_3
| spl0_14
| spl0_24
| spl0_34 ),
inference(sat_conversion,[],[f334]) ).
cnf(s24,plain,
( ~ spl0_3
| spl0_18
| spl0_27
| spl0_38 ),
inference(sat_conversion,[],[f342]) ).
cnf(s25,plain,
( ~ spl0_3
| spl0_11
| spl0_26
| spl0_32 ),
inference(sat_conversion,[],[f343]) ).
cnf(s26,plain,
( ~ spl0_3
| spl0_7
| spl0_12
| spl0_31 ),
inference(sat_conversion,[],[f344]) ).
cnf(s29,plain,
( ~ spl0_3
| spl0_9
| spl0_41
| spl0_42 ),
inference(sat_conversion,[],[f359]) ).
cnf(s31,plain,
( ~ spl0_3
| spl0_9
| spl0_17
| spl0_32 ),
inference(sat_conversion,[],[f364]) ).
cnf(s32,plain,
( ~ spl0_3
| spl0_5
| spl0_17
| spl0_44 ),
inference(sat_conversion,[],[f368]) ).
cnf(s33,plain,
( spl0_1
| ~ spl0_3
| spl0_17
| spl0_45 ),
inference(sat_conversion,[],[f372]) ).
cnf(s34,plain,
( ~ spl0_3
| spl0_8
| spl0_42
| spl0_46 ),
inference(sat_conversion,[],[f376]) ).
cnf(s35,plain,
( ~ spl0_3
| spl0_17
| spl0_29
| spl0_47 ),
inference(sat_conversion,[],[f380]) ).
cnf(s36,plain,
( ~ spl0_3
| spl0_4
| spl0_48
| spl0_49 ),
inference(sat_conversion,[],[f387]) ).
cnf(s40,plain,
( ~ spl0_3
| spl0_10
| spl0_44
| spl0_52 ),
inference(sat_conversion,[],[f400]) ).
cnf(s41,plain,
( ~ spl0_3
| spl0_24
| spl0_39
| spl0_53 ),
inference(sat_conversion,[],[f404]) ).
cnf(s42,plain,
( ~ spl0_3
| spl0_7
| spl0_40
| spl0_54 ),
inference(sat_conversion,[],[f408]) ).
cnf(s43,plain,
( ~ spl0_3
| spl0_9
| spl0_45
| spl0_55 ),
inference(sat_conversion,[],[f412]) ).
cnf(s44,plain,
( ~ spl0_3
| spl0_6
| spl0_34
| spl0_56 ),
inference(sat_conversion,[],[f416]) ).
cnf(s45,plain,
( ~ spl0_3
| spl0_5
| spl0_32
| spl0_48 ),
inference(sat_conversion,[],[f417]) ).
cnf(s54,plain,
( spl0_1
| ~ spl0_3
| spl0_54
| spl0_57 ),
inference(sat_conversion,[],[f441]) ).
cnf(s56,plain,
( ~ spl0_3
| spl0_16
| spl0_31
| spl0_50 ),
inference(sat_conversion,[],[f446]) ).
cnf(s59,plain,
( ~ spl0_3
| spl0_8
| spl0_38
| spl0_61 ),
inference(sat_conversion,[],[f449]) ).
cnf(s68,plain,
( ~ spl0_3
| spl0_42
| spl0_45
| spl0_49 ),
inference(sat_conversion,[],[f461]) ).
cnf(s69,plain,
( ~ spl0_3
| spl0_25
| spl0_35
| spl0_54 ),
inference(sat_conversion,[],[f462]) ).
cnf(s71,plain,
( ~ spl0_3
| spl0_19
| spl0_41
| spl0_46 ),
inference(sat_conversion,[],[f464]) ).
cnf(s72,plain,
( ~ spl0_3
| spl0_19
| spl0_41
| spl0_45 ),
inference(sat_conversion,[],[f465]) ).
cnf(s73,plain,
( ~ spl0_45
| ~ spl0_64 ),
inference(sat_conversion,[],[f470]) ).
cnf(s74,plain,
( ~ spl0_41
| ~ spl0_65 ),
inference(sat_conversion,[],[f475]) ).
cnf(s75,plain,
( ~ spl0_41
| ~ spl0_66 ),
inference(sat_conversion,[],[f479]) ).
cnf(s76,plain,
( ~ spl0_41
| ~ spl0_67 ),
inference(sat_conversion,[],[f483]) ).
cnf(s77,plain,
( ~ spl0_46
| ~ spl0_68 ),
inference(sat_conversion,[],[f488]) ).
cnf(s78,plain,
( ~ spl0_49
| ~ spl0_69 ),
inference(sat_conversion,[],[f493]) ).
cnf(s79,plain,
( ~ spl0_37
| ~ spl0_70 ),
inference(sat_conversion,[],[f498]) ).
cnf(s80,plain,
( ~ spl0_37
| ~ spl0_71 ),
inference(sat_conversion,[],[f502]) ).
cnf(s81,plain,
( ~ spl0_47
| ~ spl0_72 ),
inference(sat_conversion,[],[f507]) ).
cnf(s82,plain,
( ~ spl0_47
| ~ spl0_73 ),
inference(sat_conversion,[],[f511]) ).
cnf(s83,plain,
( ~ spl0_32
| ~ spl0_74 ),
inference(sat_conversion,[],[f516]) ).
cnf(s84,plain,
( ~ spl0_32
| ~ spl0_75 ),
inference(sat_conversion,[],[f520]) ).
cnf(s85,plain,
( ~ spl0_32
| ~ spl0_76 ),
inference(sat_conversion,[],[f524]) ).
cnf(s86,plain,
( ~ spl0_23
| ~ spl0_77 ),
inference(sat_conversion,[],[f529]) ).
cnf(s87,plain,
( ~ spl0_23
| ~ spl0_78 ),
inference(sat_conversion,[],[f533]) ).
cnf(s88,plain,
( ~ spl0_30
| ~ spl0_79 ),
inference(sat_conversion,[],[f538]) ).
cnf(s89,plain,
( ~ spl0_30
| ~ spl0_80 ),
inference(sat_conversion,[],[f542]) ).
cnf(s90,plain,
( ~ spl0_30
| ~ spl0_81 ),
inference(sat_conversion,[],[f546]) ).
cnf(s91,plain,
( ~ spl0_34
| ~ spl0_82 ),
inference(sat_conversion,[],[f551]) ).
cnf(s92,plain,
( ~ spl0_40
| ~ spl0_83 ),
inference(sat_conversion,[],[f556]) ).
cnf(s93,plain,
( ~ spl0_40
| ~ spl0_84 ),
inference(sat_conversion,[],[f560]) ).
cnf(s94,plain,
( ~ spl0_39
| ~ spl0_85 ),
inference(sat_conversion,[],[f565]) ).
cnf(s95,plain,
( ~ spl0_39
| ~ spl0_86 ),
inference(sat_conversion,[],[f569]) ).
cnf(s96,plain,
( ~ spl0_31
| ~ spl0_87 ),
inference(sat_conversion,[],[f574]) ).
cnf(s97,plain,
( ~ spl0_31
| ~ spl0_88 ),
inference(sat_conversion,[],[f578]) ).
cnf(s98,plain,
( ~ spl0_61
| ~ spl0_89 ),
inference(sat_conversion,[],[f583]) ).
cnf(s103,plain,
( ~ spl0_52
| ~ spl0_94 ),
inference(sat_conversion,[],[f606]) ).
cnf(s104,plain,
( ~ spl0_57
| ~ spl0_95 ),
inference(sat_conversion,[],[f611]) ).
cnf(s105,plain,
( ~ spl0_57
| ~ spl0_96 ),
inference(sat_conversion,[],[f615]) ).
cnf(s106,plain,
( ~ spl0_38
| ~ spl0_97 ),
inference(sat_conversion,[],[f620]) ).
cnf(s107,plain,
( ~ spl0_38
| ~ spl0_98 ),
inference(sat_conversion,[],[f624]) ).
cnf(s108,plain,
( ~ spl0_53
| ~ spl0_99 ),
inference(sat_conversion,[],[f629]) ).
cnf(s109,plain,
( ~ spl0_35
| ~ spl0_100 ),
inference(sat_conversion,[],[f634]) ).
cnf(s110,plain,
( ~ spl0_54
| ~ spl0_101 ),
inference(sat_conversion,[],[f639]) ).
cnf(s114,plain,
( ~ spl0_48
| ~ spl0_105 ),
inference(sat_conversion,[],[f658]) ).
cnf(s115,plain,
( ~ spl0_48
| ~ spl0_106 ),
inference(sat_conversion,[],[f662]) ).
cnf(s116,plain,
( ~ spl0_22
| ~ spl0_107 ),
inference(sat_conversion,[],[f667]) ).
cnf(s117,plain,
( ~ spl0_22
| ~ spl0_108 ),
inference(sat_conversion,[],[f671]) ).
cnf(s119,plain,
( ~ spl0_45
| spl0_111 ),
inference(sat_conversion,[],[f682]) ).
cnf(s120,plain,
( ~ spl0_45
| spl0_112 ),
inference(sat_conversion,[],[f686]) ).
cnf(s121,plain,
( ~ spl0_46
| spl0_113 ),
inference(sat_conversion,[],[f690]) ).
cnf(s122,plain,
( ~ spl0_46
| spl0_114 ),
inference(sat_conversion,[],[f694]) ).
cnf(s123,plain,
( ~ spl0_49
| spl0_115 ),
inference(sat_conversion,[],[f698]) ).
cnf(s124,plain,
( ~ spl0_49
| spl0_116 ),
inference(sat_conversion,[],[f702]) ).
cnf(s125,plain,
( ~ spl0_37
| spl0_117 ),
inference(sat_conversion,[],[f706]) ).
cnf(s126,plain,
( ~ spl0_47
| spl0_118 ),
inference(sat_conversion,[],[f710]) ).
cnf(s127,plain,
( ~ spl0_23
| spl0_119 ),
inference(sat_conversion,[],[f714]) ).
cnf(s128,plain,
( ~ spl0_34
| spl0_120 ),
inference(sat_conversion,[],[f718]) ).
cnf(s129,plain,
( ~ spl0_34
| spl0_121 ),
inference(sat_conversion,[],[f722]) ).
cnf(s130,plain,
( ~ spl0_40
| spl0_122 ),
inference(sat_conversion,[],[f726]) ).
cnf(s131,plain,
( ~ spl0_39
| spl0_123 ),
inference(sat_conversion,[],[f730]) ).
cnf(s132,plain,
( ~ spl0_31
| spl0_124 ),
inference(sat_conversion,[],[f734]) ).
cnf(s133,plain,
( ~ spl0_61
| spl0_125 ),
inference(sat_conversion,[],[f738]) ).
cnf(s134,plain,
( ~ spl0_61
| spl0_126 ),
inference(sat_conversion,[],[f742]) ).
cnf(s137,plain,
( ~ spl0_52
| spl0_129 ),
inference(sat_conversion,[],[f754]) ).
cnf(s138,plain,
( ~ spl0_52
| spl0_130 ),
inference(sat_conversion,[],[f758]) ).
cnf(s139,plain,
( ~ spl0_57
| spl0_131 ),
inference(sat_conversion,[],[f762]) ).
cnf(s140,plain,
( ~ spl0_38
| spl0_132 ),
inference(sat_conversion,[],[f766]) ).
cnf(s141,plain,
( ~ spl0_53
| spl0_133 ),
inference(sat_conversion,[],[f770]) ).
cnf(s142,plain,
( ~ spl0_53
| spl0_134 ),
inference(sat_conversion,[],[f774]) ).
cnf(s143,plain,
( ~ spl0_35
| spl0_135 ),
inference(sat_conversion,[],[f778]) ).
cnf(s144,plain,
( ~ spl0_35
| spl0_136 ),
inference(sat_conversion,[],[f782]) ).
cnf(s145,plain,
( ~ spl0_54
| spl0_137 ),
inference(sat_conversion,[],[f786]) ).
cnf(s146,plain,
( ~ spl0_54
| spl0_138 ),
inference(sat_conversion,[],[f790]) ).
cnf(s147,plain,
( ~ spl0_50
| spl0_139 ),
inference(sat_conversion,[],[f794]) ).
cnf(s148,plain,
( ~ spl0_50
| spl0_140 ),
inference(sat_conversion,[],[f798]) ).
cnf(s150,plain,
( ~ spl0_48
| spl0_142 ),
inference(sat_conversion,[],[f806]) ).
cnf(s151,plain,
( ~ spl0_22
| spl0_143 ),
inference(sat_conversion,[],[f810]) ).
cnf(s154,plain,
( ~ spl0_44
| spl0_146 ),
inference(sat_conversion,[],[f823]) ).
cnf(s155,plain,
( ~ spl0_44
| spl0_147 ),
inference(sat_conversion,[],[f827]) ).
cnf(s156,plain,
( ~ spl0_44
| spl0_148 ),
inference(sat_conversion,[],[f831]) ).
cnf(s157,plain,
( ~ spl0_55
| spl0_149 ),
inference(sat_conversion,[],[f836]) ).
cnf(s158,plain,
( ~ spl0_55
| spl0_150 ),
inference(sat_conversion,[],[f840]) ).
cnf(s159,plain,
( ~ spl0_55
| spl0_151 ),
inference(sat_conversion,[],[f844]) ).
cnf(s160,plain,
( ~ spl0_56
| spl0_152 ),
inference(sat_conversion,[],[f849]) ).
cnf(s161,plain,
( ~ spl0_56
| spl0_153 ),
inference(sat_conversion,[],[f853]) ).
cnf(s162,plain,
( ~ spl0_56
| spl0_154 ),
inference(sat_conversion,[],[f857]) ).
cnf(s168,plain,
( spl0_22
| spl0_47
| spl0_55 ),
inference(sat_conversion,[],[f873]) ).
cnf(s169,plain,
( spl0_37
| spl0_46
| spl0_52 ),
inference(sat_conversion,[],[f874]) ).
cnf(s170,plain,
( spl0_34
| spl0_46
| spl0_57 ),
inference(sat_conversion,[],[f875]) ).
cnf(s171,plain,
( spl0_48
| spl0_54
| spl0_61 ),
inference(sat_conversion,[],[f876]) ).
cnf(s172,plain,
( spl0_30
| spl0_44
| spl0_61 ),
inference(sat_conversion,[],[f877]) ).
cnf(s179,plain,
( spl0_3
| ~ spl0_47 ),
inference(sat_conversion,[],[f886]) ).
cnf(s199,plain,
( spl0_3
| ~ spl0_22 ),
inference(sat_conversion,[],[f906]) ).
cnf(s202,plain,
( spl0_3
| ~ spl0_55 ),
inference(sat_conversion,[],[f909]) ).
cnf(s205,plain,
( ~ spl0_6
| spl0_72
| ~ spl0_118
| ~ spl0_158 ),
inference(sat_conversion,[],[f919]) ).
cnf(s206,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_95
| ~ spl0_131 ),
inference(sat_conversion,[],[f936]) ).
cnf(s212,plain,
( ~ spl0_4
| ~ spl0_135
| ~ spl0_136
| ~ spl0_162 ),
inference(sat_conversion,[],[f974]) ).
cnf(s215,plain,
( ~ spl0_9
| ~ spl0_135
| ~ spl0_136
| spl0_162 ),
inference(sat_conversion,[],[f992]) ).
cnf(s216,plain,
( ~ spl0_9
| spl0_101
| ~ spl0_137
| ~ spl0_163 ),
inference(sat_conversion,[],[f993]) ).
cnf(s217,plain,
( ~ spl0_1
| spl0_84
| ~ spl0_122
| ~ spl0_161 ),
inference(sat_conversion,[],[f1003]) ).
cnf(s225,plain,
( ~ spl0_5
| spl0_101
| ~ spl0_137
| ~ spl0_138 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s231,plain,
( ~ spl0_9
| spl0_68
| ~ spl0_113
| ~ spl0_114 ),
inference(sat_conversion,[],[f1043]) ).
cnf(s234,plain,
( ~ spl0_6
| spl0_69
| ~ spl0_115
| ~ spl0_116 ),
inference(sat_conversion,[],[f1053]) ).
cnf(s236,plain,
( ~ spl0_9
| ~ spl0_146
| ~ spl0_147
| spl0_167 ),
inference(sat_conversion,[],[f1068]) ).
cnf(s237,plain,
( ~ spl0_5
| ~ spl0_147
| ~ spl0_148
| spl0_167 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s238,plain,
( ~ spl0_6
| ~ spl0_146
| ~ spl0_148
| spl0_167 ),
inference(sat_conversion,[],[f1072]) ).
cnf(s239,plain,
( ~ spl0_7
| spl0_82
| ~ spl0_120
| ~ spl0_121 ),
inference(sat_conversion,[],[f1081]) ).
cnf(s240,plain,
( ~ spl0_7
| ~ spl0_137
| ~ spl0_138
| spl0_163 ),
inference(sat_conversion,[],[f1083]) ).
cnf(s241,plain,
( ~ spl0_7
| ~ spl0_153
| ~ spl0_154
| spl0_164 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s244,plain,
( ~ spl0_12
| spl0_95
| spl0_96
| ~ spl0_131 ),
inference(sat_conversion,[],[f1099]) ).
cnf(s251,plain,
( ~ spl0_11
| spl0_64
| ~ spl0_111
| ~ spl0_112 ),
inference(sat_conversion,[],[f1131]) ).
cnf(s267,plain,
( ~ spl0_7
| ~ spl0_18
| spl0_33 ),
inference(sat_conversion,[],[f1211]) ).
cnf(s268,plain,
( ~ spl0_11
| ~ spl0_18
| spl0_33 ),
inference(sat_conversion,[],[f1212]) ).
cnf(s274,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_20 ),
inference(sat_conversion,[],[f1254]) ).
cnf(s277,plain,
( ~ spl0_16
| spl0_72
| ~ spl0_118
| spl0_158 ),
inference(sat_conversion,[],[f1257]) ).
cnf(s280,plain,
( ~ spl0_21
| spl0_72
| spl0_73
| ~ spl0_118 ),
inference(sat_conversion,[],[f1259]) ).
cnf(s284,plain,
( ~ spl0_6
| ~ spl0_129
| ~ spl0_130
| spl0_173 ),
inference(sat_conversion,[],[f1278]) ).
cnf(s321,plain,
( ~ spl0_19
| spl0_74
| spl0_75
| spl0_76 ),
inference(sat_conversion,[],[f1385]) ).
cnf(s329,plain,
( ~ spl0_4
| ~ spl0_146
| ~ spl0_147
| ~ spl0_167 ),
inference(sat_conversion,[],[f1400]) ).
cnf(s330,plain,
( ~ spl0_4
| ~ spl0_149
| ~ spl0_150
| ~ spl0_151 ),
inference(sat_conversion,[],[f1403]) ).
cnf(s340,plain,
( ~ spl0_1
| spl0_106
| ~ spl0_142
| ~ spl0_166 ),
inference(sat_conversion,[],[f1414]) ).
cnf(s356,plain,
( ~ spl0_14
| spl0_77
| spl0_78
| ~ spl0_119 ),
inference(sat_conversion,[],[f1497]) ).
cnf(s368,plain,
( ~ spl0_24
| ~ spl0_152
| ~ spl0_153
| ~ spl0_154 ),
inference(sat_conversion,[],[f1508]) ).
cnf(s369,plain,
( ~ spl0_24
| ~ spl0_147
| ~ spl0_148
| ~ spl0_167 ),
inference(sat_conversion,[],[f1509]) ).
cnf(s374,plain,
( ~ spl0_11
| spl0_82
| ~ spl0_120
| ~ spl0_160 ),
inference(sat_conversion,[],[f1517]) ).
cnf(s376,plain,
( ~ spl0_2
| ~ spl0_139
| ~ spl0_140
| ~ spl0_169 ),
inference(sat_conversion,[],[f1534]) ).
cnf(s378,plain,
( ~ spl0_10
| ~ spl0_153
| ~ spl0_154
| ~ spl0_164 ),
inference(sat_conversion,[],[f1538]) ).
cnf(s381,plain,
( ~ spl0_10
| ~ spl0_146
| ~ spl0_147
| ~ spl0_148 ),
inference(sat_conversion,[],[f1547]) ).
cnf(s395,plain,
( ~ spl0_19
| spl0_79
| spl0_81
| spl0_175 ),
inference(sat_conversion,[],[f1604]) ).
cnf(s397,plain,
( ~ spl0_19
| spl0_87
| spl0_88
| spl0_176 ),
inference(sat_conversion,[],[f1606]) ).
cnf(s399,plain,
( ~ spl0_11
| ~ spl0_19
| spl0_26 ),
inference(sat_conversion,[],[f1608]) ).
cnf(s410,plain,
( ~ spl0_26
| spl0_85
| spl0_86
| ~ spl0_123 ),
inference(sat_conversion,[],[f1681]) ).
cnf(s411,plain,
( ~ spl0_26
| spl0_106
| ~ spl0_142
| spl0_166 ),
inference(sat_conversion,[],[f1682]) ).
cnf(s418,plain,
( ~ spl0_11
| ~ spl0_27
| spl0_33 ),
inference(sat_conversion,[],[f1710]) ).
cnf(s421,plain,
( ~ spl0_26
| spl0_97
| spl0_98
| ~ spl0_180 ),
inference(sat_conversion,[],[f1720]) ).
cnf(s423,plain,
( ~ spl0_12
| spl0_84
| ~ spl0_122
| spl0_161 ),
inference(sat_conversion,[],[f1722]) ).
cnf(s434,plain,
( ~ spl0_11
| spl0_97
| ~ spl0_132
| ~ spl0_180 ),
inference(sat_conversion,[],[f1737]) ).
cnf(s437,plain,
( ~ spl0_8
| spl0_83
| ~ spl0_122
| spl0_161 ),
inference(sat_conversion,[],[f1759]) ).
cnf(s438,plain,
( ~ spl0_8
| spl0_94
| ~ spl0_129
| spl0_173 ),
inference(sat_conversion,[],[f1760]) ).
cnf(s449,plain,
( ~ spl0_18
| spl0_88
| ~ spl0_124
| ~ spl0_176 ),
inference(sat_conversion,[],[f1805]) ).
cnf(s450,plain,
( ~ spl0_18
| spl0_94
| ~ spl0_130
| ~ spl0_173 ),
inference(sat_conversion,[],[f1806]) ).
cnf(s452,plain,
( ~ spl0_18
| spl0_108
| ~ spl0_143
| ~ spl0_170 ),
inference(sat_conversion,[],[f1808]) ).
cnf(s458,plain,
( ~ spl0_5
| ~ spl0_120
| ~ spl0_121
| spl0_160 ),
inference(sat_conversion,[],[f1813]) ).
cnf(s488,plain,
( ~ spl0_15
| spl0_99
| ~ spl0_133
| ~ spl0_134 ),
inference(sat_conversion,[],[f1886]) ).
cnf(s493,plain,
( ~ spl0_13
| spl0_16
| ~ spl0_21 ),
inference(sat_conversion,[],[f1908]) ).
cnf(s496,plain,
( ~ spl0_20
| spl0_83
| spl0_84
| ~ spl0_122 ),
inference(sat_conversion,[],[f1925]) ).
cnf(s499,plain,
( ~ spl0_1
| spl0_100
| ~ spl0_135
| ~ spl0_162 ),
inference(sat_conversion,[],[f1929]) ).
cnf(s503,plain,
( ~ spl0_16
| spl0_70
| spl0_71
| ~ spl0_117 ),
inference(sat_conversion,[],[f1933]) ).
cnf(s523,plain,
( spl0_2
| ~ spl0_10
| ~ spl0_18 ),
inference(sat_conversion,[],[f1952]) ).
cnf(s531,plain,
( ~ spl0_16
| spl0_70
| spl0_71
| ~ spl0_117 ),
inference(sat_conversion,[],[f1994]) ).
cnf(s535,plain,
( ~ spl0_21
| spl0_108
| ~ spl0_143
| spl0_170 ),
inference(sat_conversion,[],[f2013]) ).
cnf(s536,plain,
( ~ spl0_25
| spl0_74
| spl0_75
| spl0_171 ),
inference(sat_conversion,[],[f2028]) ).
cnf(s537,plain,
( ~ spl0_25
| spl0_79
| spl0_80
| spl0_81 ),
inference(sat_conversion,[],[f2029]) ).
cnf(s539,plain,
( ~ spl0_25
| spl0_107
| spl0_108
| spl0_170 ),
inference(sat_conversion,[],[f2031]) ).
cnf(s540,plain,
( ~ spl0_27
| spl0_79
| spl0_81
| ~ spl0_175 ),
inference(sat_conversion,[],[f2047]) ).
cnf(s542,plain,
( ~ spl0_27
| spl0_107
| spl0_108
| ~ spl0_143 ),
inference(sat_conversion,[],[f2049]) ).
cnf(s544,plain,
( ~ spl0_29
| spl0_87
| spl0_88
| ~ spl0_124 ),
inference(sat_conversion,[],[f2064]) ).
cnf(s546,plain,
( ~ spl0_29
| spl0_107
| spl0_108
| ~ spl0_170 ),
inference(sat_conversion,[],[f2066]) ).
cnf(s555,plain,
( ~ spl0_17
| spl0_65
| spl0_66
| spl0_67 ),
inference(sat_conversion,[],[f2096]) ).
cnf(s556,plain,
( ~ spl0_17
| spl0_74
| spl0_76
| spl0_171 ),
inference(sat_conversion,[],[f2097]) ).
cnf(s558,plain,
( ~ spl0_17
| spl0_97
| spl0_98
| spl0_180 ),
inference(sat_conversion,[],[f2099]) ).
cnf(s560,plain,
( ~ spl0_33
| spl0_82
| ~ spl0_121
| ~ spl0_160 ),
inference(sat_conversion,[],[f2108]) ).
cnf(s561,plain,
( ~ spl0_33
| spl0_89
| ~ spl0_125
| ~ spl0_126 ),
inference(sat_conversion,[],[f2111]) ).
cnf(s562,plain,
( ~ spl0_33
| ~ spl0_139
| ~ spl0_140
| spl0_169 ),
inference(sat_conversion,[],[f2112]) ).
cnf(s568,plain,
( ~ spl0_42
| spl0_75
| spl0_76
| ~ spl0_171 ),
inference(sat_conversion,[],[f2144]) ).
cnf(s572,plain,
( ~ spl0_42
| spl0_105
| spl0_106
| ~ spl0_142 ),
inference(sat_conversion,[],[f2148]) ).
cnf(s574,plain,
spl0_3,
inference(rat,[],[s168,s179,s199,s202]) ).
cnf(s575,plain,
( ~ spl0_39
| ~ spl0_26 ),
inference(rat,[],[s410,s94,s95,s131]) ).
cnf(s576,plain,
( ~ spl0_44
| ~ spl0_10 ),
inference(rat,[],[s381,s154,s155,s156]) ).
cnf(s578,plain,
( ~ spl0_32
| ~ spl0_19 ),
inference(rat,[],[s321,s83,s84,s85]) ).
cnf(s579,plain,
( spl0_9
| spl0_8
| spl0_5 ),
inference(rat,[],[s555,s74,s75,s76,s29,s572,s114,s115,s150,s45,s578,s32,s576,s3,s8,s574]) ).
cnf(s580,plain,
( ~ spl0_46
| ~ spl0_9 ),
inference(rat,[],[s231,s77,s121,s122]) ).
cnf(s581,plain,
( ~ spl0_48
| ~ spl0_42 ),
inference(rat,[],[s572,s114,s115,s150]) ).
cnf(s582,plain,
( spl0_8
| spl0_5
| ~ spl0_4 ),
inference(rat,[],[s236,s329,s154,s155,s32,s556,s568,s83,s84,s85,s45,s581,s34,s580,s579,s574]) ).
cnf(s583,plain,
( spl0_9
| spl0_5 ),
inference(rat,[],[s555,s74,s75,s76,s29,s581,s45,s31,s578,s8,s574]) ).
cnf(s585,plain,
( ~ spl0_38
| ~ spl0_11
| ~ spl0_17 ),
inference(rat,[],[s434,s558,s106,s107,s140]) ).
cnf(s587,plain,
( ~ spl0_61
| ~ spl0_33 ),
inference(rat,[],[s561,s98,s133,s134]) ).
cnf(s588,plain,
( ~ spl0_30
| ~ spl0_27
| ~ spl0_19 ),
inference(rat,[],[s395,s540,s88,s90]) ).
cnf(s589,plain,
( ~ spl0_11
| spl0_18
| spl0_44
| ~ spl0_17
| ~ spl0_19 ),
inference(rat,[],[s587,s172,s418,s588,s24,s585,s574]) ).
cnf(s590,plain,
( ~ spl0_35
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s212,s215,s143,s144]) ).
cnf(s591,plain,
( spl0_44
| ~ spl0_17
| ~ spl0_19
| ~ spl0_11
| ~ spl0_8
| spl0_2 ),
inference(rat,[],[s438,s450,s103,s137,s138,s40,s523,s589,s574]) ).
cnf(s592,plain,
( ~ spl0_44
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s236,s329,s154,s155]) ).
cnf(s593,plain,
( spl0_5
| spl0_2
| spl0_1 ),
inference(rat,[],[s555,s74,s75,s76,s71,s591,s32,s592,s20,s590,s580,s583,s582,s1,s574]) ).
cnf(s594,plain,
( ~ spl0_9
| ~ spl0_19
| ~ spl0_17
| spl0_2
| spl0_1 ),
inference(rat,[],[s587,s59,s268,s591,s585,s589,s20,s592,s590,s1,s574]) ).
cnf(s595,plain,
( ~ spl0_11
| spl0_44
| spl0_9
| ~ spl0_19
| ~ spl0_17
| spl0_2 ),
inference(rat,[],[s523,s3,s589,s591,s574]) ).
cnf(s596,plain,
( spl0_11
| spl0_9
| spl0_32
| ~ spl0_5 ),
inference(rat,[],[s560,s458,s91,s128,s129,s18,s17,s574]) ).
cnf(s597,plain,
( ~ spl0_44
| ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s237,s329,s154,s155,s156]) ).
cnf(s598,plain,
( ~ spl0_19
| ~ spl0_17
| spl0_2
| spl0_1 ),
inference(rat,[],[s595,s596,s594,s578,s597,s593,s1,s574]) ).
cnf(s599,plain,
( ~ spl0_41
| ~ spl0_17 ),
inference(rat,[],[s555,s74,s75,s76]) ).
cnf(s600,plain,
( ~ spl0_17
| spl0_2
| spl0_1 ),
inference(rat,[],[s568,s556,s83,s84,s85,s596,s29,s251,s580,s73,s119,s120,s71,s72,s599,s598,s593,s574]) ).
cnf(s601,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s438,s450,s103,s137,s138,s3,s40,s590,s523,s20,s7,s251,s73,s119,s120,s33,s600,s597,s593,s1,s574]) ).
cnf(s603,plain,
( ~ spl0_45
| ~ spl0_11 ),
inference(rat,[],[s251,s73,s119,s120]) ).
cnf(s604,plain,
( ~ spl0_54
| ~ spl0_7
| ~ spl0_9 ),
inference(rat,[],[s216,s240,s110,s145,s146]) ).
cnf(s605,plain,
( spl0_5
| spl0_45
| spl0_32
| ~ spl0_9
| spl0_1 ),
inference(rat,[],[s206,s104,s139,s54,s604,s2,s234,s78,s123,s124,s68,s34,s581,s45,s580,s574]) ).
cnf(s606,plain,
( ~ spl0_54
| ~ spl0_5 ),
inference(rat,[],[s225,s110,s145,s146]) ).
cnf(s607,plain,
( ~ spl0_11
| ~ spl0_9
| ~ spl0_17
| spl0_1 ),
inference(rat,[],[s24,s418,s268,s587,s59,s206,s104,s139,s54,s606,s605,s603,s585,s578,s71,s580,s599,s574]) ).
cnf(s608,plain,
( ~ spl0_38
| ~ spl0_26
| ~ spl0_17 ),
inference(rat,[],[s421,s558,s106,s107]) ).
cnf(s609,plain,
( ~ spl0_57
| ~ spl0_8
| ~ spl0_9 ),
inference(rat,[],[s206,s104,s139]) ).
cnf(s610,plain,
( ~ spl0_50
| ~ spl0_33
| ~ spl0_2 ),
inference(rat,[],[s376,s562,s147,s148]) ).
cnf(s611,plain,
( ~ spl0_31
| ~ spl0_18
| ~ spl0_19 ),
inference(rat,[],[s397,s449,s96,s97,s132]) ).
cnf(s612,plain,
( ~ spl0_52
| ~ spl0_18
| ~ spl0_6 ),
inference(rat,[],[s284,s450,s103,s137,s138]) ).
cnf(s613,plain,
( ~ spl0_18
| ~ spl0_6
| spl0_50
| ~ spl0_19
| spl0_46 ),
inference(rat,[],[s79,s531,s80,s125,s169,s612,s56,s611,s574]) ).
cnf(s614,plain,
( spl0_5
| spl0_50
| spl0_38
| spl0_61
| ~ spl0_19
| ~ spl0_9
| spl0_1 ),
inference(rat,[],[s576,s15,s172,s588,s24,s613,s2,s604,s54,s609,s34,s581,s45,s580,s578,s574]) ).
cnf(s615,plain,
( spl0_50
| spl0_38
| spl0_1
| spl0_61
| ~ spl0_19
| ~ spl0_9 ),
inference(rat,[],[s54,s609,s606,s59,s614,s574]) ).
cnf(s616,plain,
( ~ spl0_9
| ~ spl0_17
| spl0_1 ),
inference(rat,[],[s615,s610,s608,s587,s17,s25,s607,s578,s71,s580,s601,s599,s574]) ).
cnf(s617,plain,
( ~ spl0_11
| spl0_33
| ~ spl0_17 ),
inference(rat,[],[s24,s418,s268,s585,s574]) ).
cnf(s618,plain,
( ~ spl0_17
| spl0_1 ),
inference(rat,[],[s568,s556,s83,s84,s85,s17,s617,s587,s171,s581,s606,s29,s583,s616,s599,s574]) ).
cnf(s619,plain,
( spl0_6
| ~ spl0_9
| spl0_1 ),
inference(rat,[],[s2,s606,s604,s54,s609,s4,s603,s33,s618,s574]) ).
cnf(s621,plain,
( ~ spl0_44
| ~ spl0_9
| spl0_1 ),
inference(rat,[],[s488,s108,s141,s142,s41,s575,s13,s12,s539,s542,s452,s116,s117,s151,s369,s10,s238,s576,s154,s155,s156,s7,s590,s20,s603,s33,s618,s619,s574]) ).
cnf(s622,plain,
( ~ spl0_9
| spl0_1 ),
inference(rat,[],[s493,s9,s5,s274,s244,s104,s105,s139,s54,s606,s32,s621,s503,s79,s80,s125,s169,s612,s619,s580,s7,s603,s33,s618,s574]) ).
cnf(s623,plain,
( spl0_17
| spl0_1 ),
inference(rat,[],[s280,s81,s82,s126,s35,s544,s9,s96,s97,s132,s496,s26,s92,s93,s130,s244,s42,s104,s105,s139,s239,s54,s91,s128,s129,s606,s18,s583,s622,s603,s33,s574]) ).
cnf(s624,plain,
spl0_1,
inference(rat,[],[s623,s618]) ).
cnf(s625,plain,
( spl0_11
| ~ spl0_17
| ~ spl0_9 ),
inference(rat,[],[s411,s340,s115,s150,s45,s458,s560,s91,s128,s129,s170,s609,s59,s608,s587,s25,s17,s578,s71,s599,s580,s624,s574]) ).
cnf(s626,plain,
( ~ spl0_17
| ~ spl0_9 ),
inference(rat,[],[s411,s340,s115,s150,s45,s458,s374,s91,s128,s129,s170,s609,s59,s587,s617,s585,s399,s625,s578,s71,s599,s580,s624,s574]) ).
cnf(s627,plain,
( ~ spl0_44
| ~ spl0_18
| ~ spl0_9 ),
inference(rat,[],[s488,s108,s141,s142,s41,s575,s13,s12,s539,s542,s452,s116,s117,s151,s369,s10,s236,s592,s576,s154,s155,s156,s626,s574]) ).
cnf(s628,plain,
( spl0_32
| spl0_54
| spl0_11 ),
inference(rat,[],[s411,s340,s115,s150,s171,s587,s25,s17,s624,s574]) ).
cnf(s629,plain,
( ~ spl0_35
| ~ spl0_9 ),
inference(rat,[],[s499,s215,s109,s143,s144,s624]) ).
cnf(s630,plain,
( spl0_11
| ~ spl0_9 ),
inference(rat,[],[s437,s217,s92,s93,s130,s42,s239,s91,s128,s129,s170,s609,s34,s568,s536,s69,s83,s84,s85,s628,s606,s32,s627,s7,s580,s626,s629,s624,s574]) ).
cnf(s631,plain,
( spl0_5
| ~ spl0_9 ),
inference(rat,[],[s488,s108,s141,s142,s41,s575,s12,s6,s537,s277,s88,s89,s90,s205,s15,s2,s239,s91,s128,s129,s22,s81,s126,s356,s35,s86,s87,s127,s542,s544,s11,s116,s117,s151,s96,s97,s132,s369,s10,s16,s236,s627,s592,s576,s154,s155,s156,s32,s626,s574]) ).
cnf(s632,plain,
( ~ spl0_30
| ~ spl0_25 ),
inference(rat,[],[s537,s88,s89,s90]) ).
cnf(s633,plain,
( ~ spl0_18
| ~ spl0_9 ),
inference(rat,[],[s172,s587,s627,s268,s630,s632,s69,s606,s631,s629,s574]) ).
cnf(s637,plain,
( ~ spl0_47
| ~ spl0_21 ),
inference(rat,[],[s280,s81,s82,s126]) ).
cnf(s638,plain,
( ~ spl0_31
| ~ spl0_29 ),
inference(rat,[],[s544,s96,s97,s132]) ).
cnf(s639,plain,
( ~ spl0_49
| ~ spl0_6 ),
inference(rat,[],[s234,s78,s123,s124]) ).
cnf(s642,plain,
( ~ spl0_55
| ~ spl0_4 ),
inference(rat,[],[s330,s157,s158,s159]) ).
cnf(s644,plain,
( ~ spl0_22
| ~ spl0_29
| ~ spl0_21 ),
inference(rat,[],[s546,s535,s116,s117,s151]) ).
cnf(s645,plain,
( spl0_34
| ~ spl0_9 ),
inference(rat,[],[s241,s378,s161,s162,s44,s639,s36,s642,s168,s644,s26,s16,s638,s35,s637,s9,s581,s274,s34,s244,s609,s104,s105,s139,s170,s580,s626,s633,s574]) ).
cnf(s646,plain,
~ spl0_9,
inference(rat,[],[s374,s458,s91,s128,s129,s645,s631,s630]) ).
cnf(s647,plain,
spl0_5,
inference(rat,[],[s583,s646]) ).
cnf(s648,plain,
~ spl0_54,
inference(rat,[],[s606,s647]) ).
cnf(s649,plain,
~ spl0_17,
inference(rat,[],[s568,s556,s83,s84,s85,s17,s617,s587,s171,s581,s29,s599,s574,s648,s646]) ).
cnf(s655,plain,
spl0_7,
inference(rat,[],[s35,s638,s637,s26,s9,s423,s496,s217,s92,s93,s130,s42,s574,s649,s624,s648]) ).
cnf(s656,plain,
spl0_11,
inference(rat,[],[s458,s560,s91,s128,s129,s267,s18,s7,s647,s655,s574,s646,s649]) ).
cnf(s657,plain,
~ spl0_45,
inference(rat,[],[s603,s656]) ).
cnf(s658,plain,
spl0_55,
inference(rat,[],[s43,s646,s574,s657]) ).
cnf(s663,plain,
~ spl0_4,
inference(rat,[],[s642,s658]) ).
cnf(s667,plain,
~ spl0_34,
inference(rat,[],[s239,s91,s128,s129,s655]) ).
cnf(s673,plain,
spl0_49,
inference(rat,[],[s581,s68,s36,s574,s657,s663]) ).
cnf(s677,plain,
~ spl0_6,
inference(rat,[],[s639,s673]) ).
cnf(s678,plain,
spl0_56,
inference(rat,[],[s44,s667,s574,s677]) ).
cnf(s679,plain,
spl0_154,
inference(rat,[],[s162,s678]) ).
cnf(s680,plain,
spl0_153,
inference(rat,[],[s161,s678]) ).
cnf(s681,plain,
spl0_152,
inference(rat,[],[s160,s678]) ).
cnf(s682,plain,
spl0_164,
inference(rat,[],[s241,s655,s679,s680]) ).
cnf(s683,plain,
~ spl0_24,
inference(rat,[],[s368,s679,s680,s681]) ).
cnf(s684,plain,
~ spl0_10,
inference(rat,[],[s378,s679,s680,s682]) ).
cnf(s685,plain,
spl0_14,
inference(rat,[],[s22,s667,s574,s683]) ).
cnf(s690,plain,
spl0_23,
inference(rat,[],[s11,s683,s574,s684]) ).
cnf(s703,plain,
spl0_119,
inference(rat,[],[s127,s690]) ).
cnf(s704,plain,
~ spl0_78,
inference(rat,[],[s87,s690]) ).
cnf(s705,plain,
~ spl0_77,
inference(rat,[],[s86,s690]) ).
cnf(s709,plain,
$false,
inference(rat,[],[s356,s703,s685,s704,s705]) ).
fof(f2150,plain,
$false,
inference(avatar_sat_refutation,[],[s709]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN498-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:18:57 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.11/1.10 % (1729714)Input is clausal, will run a generic CNF schedule.
% 3.11/1.10 % (1729719)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=1201990427:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.11/1.10 % (1729720)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=67083844:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.11/1.10 % (1729724)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3728093156:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.11/1.10 % (1729723)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3237211983:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.11/1.10 % (1729722)lrs+10_1_sil=8000:sp=occurrence:random_seed=3711935590:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.11/1.10 % (1729721)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3616602053:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.11/1.10 % (1729725)dis-21_1_sil=8000:lcm=predicate:random_seed=1173910183: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)
% 3.11/1.10 % (1729725)First to succeed.
% 3.11/1.10 % (1729723)Also succeeded, but the first one will report.
% 3.11/1.10 % (1729725)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1729714"
% 3.11/1.10 % (1729724)Also succeeded, but the first one will report.
% 3.11/1.10 % (1729722)Also succeeded, but the first one will report.
% 3.11/1.10 % (1729725)Refutation found. Thanks to Tanya!
% 3.11/1.10 % SZS status Unsatisfiable for theBenchmark
% 3.11/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 3.72/1.29 % (1729725)------------------------------
% 3.72/1.29 % (1729725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.29 % (1729725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.29 % (1729725)CaDiCaL version: 2.1.3
% 3.72/1.29 % (1729725)Termination reason: Refutation
% 3.72/1.29 % (1729725)Time elapsed: 0.030 s
% 3.72/1.29 % (1729725)Peak memory usage: 90 MB
% 3.72/1.29 % (1729725)Instructions burned: 48 (million)
% 3.72/1.29 % (1729725)------------------------------
% 3.72/1.29 % (1729725)------------------------------
% 3.72/1.29 % (1729714)Success in time 0.447 s
% 3.72/1.29 % Vampire exiting
%------------------------------------------------------------------------------