%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN480-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:56:03 PM UTC 2026
% Result : Unsatisfiable 2.90s 1.13s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 238
% Syntax : Number of formulae : 835 ( 17 unt; 127 def)
% Number of atoms : 2776 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3423 (1482 ~;1814 |; 0 &)
% ( 127 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 156 ( 155 usr; 152 prp; 0-1 aty)
% Number of functors : 21 ( 21 usr; 21 con; 0-0 aty)
% Number of variables : 166 ( 0 sgn 166 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
( ~ hskp29
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f7,negated_conjecture,
( ~ hskp25
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f13,negated_conjecture,
( ~ hskp19
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f33,negated_conjecture,
( hskp29
| hskp19
| hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
( hskp14
| hskp1
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
( hskp14
| hskp20
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f38,negated_conjecture,
( hskp10
| hskp12
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f41,negated_conjecture,
( ~ hskp31
| c0_1(a1562) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( ~ hskp31
| c2_1(a1562) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( ~ hskp31
| c3_1(a1562) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f50,negated_conjecture,
( ~ hskp28
| c1_1(a1542) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( ~ hskp28
| c2_1(a1542) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( ~ hskp28
| c3_1(a1542) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f55,negated_conjecture,
( ~ hskp23
| c0_1(a1593) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f56,negated_conjecture,
( ~ hskp23
| c3_1(a1593) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f57,negated_conjecture,
( ~ hskp22
| c2_1(a1581) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( ~ hskp21
| c2_1(a1575) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( ~ hskp20
| c1_1(a1574) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( ~ hskp20
| c3_1(a1574) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( ~ hskp19
| c0_1(a1573) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f64,negated_conjecture,
( ~ hskp17
| c3_1(a1570) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( ~ hskp16
| c2_1(a1566) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( ~ hskp16
| c3_1(a1566) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( ~ hskp15
| c1_1(a1565) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( ~ hskp14
| c0_1(a1558) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( ~ hskp14
| c1_1(a1558) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( ~ hskp13
| c1_1(a1556) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( ~ hskp13
| c2_1(a1556) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( ~ hskp12
| c1_1(a1554) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( ~ hskp12
| c2_1(a1554) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( ~ hskp11
| c0_1(a1553) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( ~ hskp11
| c2_1(a1553) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( ~ hskp10
| c0_1(a1549) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp10
| c3_1(a1549) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f81,negated_conjecture,
( ~ hskp6
| c0_1(a1543) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( ~ hskp5
| c1_1(a1539) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( ~ hskp5
| c3_1(a1539) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( ~ hskp3
| c1_1(a1536) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( ~ hskp2
| c3_1(a1535) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( ~ hskp1
| c0_1(a1534) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( ~ hskp1
| c2_1(a1534) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f100,negated_conjecture,
( ~ c1_1(a1581)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ c3_1(a1581)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ c0_1(a1575)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ c1_1(a1575)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ c2_1(a1574)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ c1_1(a1573)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ c3_1(a1573)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f108,negated_conjecture,
( ~ c0_1(a1570)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ c1_1(a1570)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ c1_1(a1566)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ c2_1(a1565)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ c3_1(a1565)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ c2_1(a1558)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f115,negated_conjecture,
( ~ c0_1(a1554)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ c1_1(a1553)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ c1_1(a1549)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f124,negated_conjecture,
( ~ c1_1(a1543)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ c2_1(a1543)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ c0_1(a1539)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ c1_1(a1538)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ c2_1(a1538)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ c3_1(a1538)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ c0_1(a1536)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
( ~ c2_1(a1536)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ c1_1(a1535)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f133,negated_conjecture,
( ~ c2_1(a1535)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
( ~ c3_1(a1534)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f137,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| hskp1
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f140,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| hskp10
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f141,negated_conjecture,
! [X0] :
( ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| hskp12
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f142,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| hskp11
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f145,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp19
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f146,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp28
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f148,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp14
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f149,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp1
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f150,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp14
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f151,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp10
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f154,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp19
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f155,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp20
| hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f156,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f158,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp14
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f160,negated_conjecture,
! [X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f163,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_1(X0)
| c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f173,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f175,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X0)
| c1_1(X1)
| c3_1(X1)
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f177,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c1_1(X0)
| c0_1(X1)
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f183,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f185,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f186,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
fof(f187,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
fof(f189,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
fof(f191,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
fof(f192,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
fof(f194,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
fof(f196,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
fof(f197,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X2)
| c1_1(X0)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).
fof(f198,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X2)
| c3_1(X0)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
fof(f199,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X2)
| c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
fof(f200,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| c2_1(X0)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).
fof(f201,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| c1_1(X0)
| c0_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).
fof(f202,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X2)
| c1_1(X1)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).
fof(f203,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X2)
| c3_1(X1)
| c1_1(X2) ),
file('/export/starexec/sandbox/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)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).
fof(f206,definition,
( spl0_1
<=> ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f207,plain,
( ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| ~ c1_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f209,definition,
( spl0_2
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f210,plain,
( ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_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] :
( ~ c3_1(X0)
| ~ c1_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)
| c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f220,plain,
( ! [X2] :
( c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f222,definition,
( spl0_6
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f223,plain,
( ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f224,plain,
( spl0_5
| spl0_6
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f203,f215,f212,f222,f219]) ).
fof(f226,definition,
( spl0_7
<=> ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f227,plain,
( ! [X2] :
( c3_1(X2)
| ~ c0_1(X2)
| c1_1(X2) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f229,definition,
( spl0_8
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f230,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f231,plain,
( spl0_7
| spl0_5
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f202,f229,f212,f219,f226]) ).
fof(f233,definition,
( spl0_9
<=> ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f234,plain,
( ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f236,definition,
( spl0_10
<=> ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f237,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f239,definition,
( spl0_11
<=> ! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f240,plain,
( ! [X0] :
( ~ c3_1(X0)
| c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f241,plain,
( spl0_9
| spl0_10
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f201,f239,f212,f236,f233]) ).
fof(f243,definition,
( spl0_12
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f244,plain,
( ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f246,definition,
( spl0_13
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f247,plain,
( ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( spl0_10
| spl0_12
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f200,f246,f212,f243,f236]) ).
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] :
( ~ c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f254,plain,
( ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c0_1(X1) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f255,plain,
( spl0_14
| spl0_15
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f199,f215,f212,f253,f250]) ).
fof(f257,definition,
( spl0_16
<=> ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f258,plain,
( ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f260,definition,
( spl0_17
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f261,plain,
( ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( spl0_16
| spl0_17
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f198,f222,f212,f260,f257]) ).
fof(f264,definition,
( spl0_18
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f265,plain,
( ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( spl0_16
| spl0_18
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f197,f219,f212,f264,f257]) ).
fof(f268,definition,
( spl0_19
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f269,plain,
( ! [X2] :
( c3_1(X2)
| c1_1(X2)
| c2_1(X2) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f270,plain,
( spl0_19
| spl0_16
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f196,f209,f212,f257,f268]) ).
fof(f272,definition,
( spl0_20
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f273,plain,
( ! [X2] :
( c1_1(X2)
| c2_1(X2)
| c0_1(X2) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f279,definition,
( spl0_22
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f280,plain,
( ! [X2] :
( c3_1(X2)
| c0_1(X2)
| c2_1(X2) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f282,definition,
( spl0_23
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f283,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| c2_1(X0) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f284,plain,
( spl0_22
| spl0_7
| ~ spl0_3
| spl0_23 ),
inference(avatar_split_clause,[],[f194,f282,f212,f226,f279]) ).
fof(f287,definition,
( spl0_24
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f289,plain,
( spl0_24
| spl0_17
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f192,f215,f212,f260,f287]) ).
fof(f291,definition,
( spl0_25
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f293,plain,
( spl0_25
| spl0_1
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f191,f229,f212,f206,f291]) ).
fof(f295,definition,
( spl0_26
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f298,definition,
( spl0_27
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f299,plain,
( ! [X1] :
( c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f302,definition,
( spl0_28
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f305,definition,
( spl0_29
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f306,plain,
( ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f307,plain,
( spl0_28
| spl0_29
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f189,f222,f212,f305,f302]) ).
fof(f310,definition,
( spl0_30
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f313,definition,
( spl0_31
<=> ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f314,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f315,plain,
( spl0_30
| spl0_11
| ~ spl0_3
| spl0_31 ),
inference(avatar_split_clause,[],[f187,f313,f212,f239,f310]) ).
fof(f317,definition,
( spl0_32
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f319,plain,
( spl0_32
| spl0_11
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f186,f206,f212,f239,f317]) ).
fof(f321,definition,
( spl0_33
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f324,definition,
( spl0_34
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f325,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f326,plain,
( spl0_33
| spl0_11
| ~ spl0_3
| spl0_34 ),
inference(avatar_split_clause,[],[f185,f324,f212,f239,f321]) ).
fof(f328,definition,
( spl0_35
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f331,plain,
( spl0_30
| spl0_5
| ~ spl0_3
| spl0_34 ),
inference(avatar_split_clause,[],[f183,f324,f212,f219,f310]) ).
fof(f333,definition,
( spl0_36
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f340,definition,
( spl0_38
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f342,plain,
( spl0_38
| spl0_9
| ~ spl0_3
| spl0_34 ),
inference(avatar_split_clause,[],[f181,f324,f212,f233,f340]) ).
fof(f344,definition,
( spl0_39
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f346,plain,
( spl0_39
| spl0_9
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f180,f219,f212,f233,f344]) ).
fof(f348,definition,
( spl0_40
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f350,plain,
( spl0_40
| spl0_15
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f179,f215,f212,f253,f348]) ).
fof(f352,definition,
( spl0_41
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f356,definition,
( spl0_42
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f358,plain,
( spl0_42
| spl0_5
| ~ spl0_3
| spl0_27 ),
inference(avatar_split_clause,[],[f177,f298,f212,f219,f356]) ).
fof(f359,plain,
( spl0_28
| spl0_5
| ~ spl0_3
| spl0_23 ),
inference(avatar_split_clause,[],[f176,f282,f212,f219,f302]) ).
fof(f361,definition,
( spl0_43
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f363,plain,
( spl0_43
| spl0_7
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f175,f246,f212,f226,f361]) ).
fof(f366,definition,
( spl0_44
<=> hskp31 ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f369,definition,
( spl0_45
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f370,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f371,plain,
( spl0_44
| spl0_45
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f173,f226,f212,f369,f366]) ).
fof(f374,definition,
( spl0_46
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f381,definition,
( spl0_48
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f384,definition,
( spl0_49
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f385,plain,
( ! [X1] :
( c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f386,plain,
( spl0_48
| spl0_49
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f170,f206,f212,f384,f381]) ).
fof(f388,definition,
( spl0_50
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f391,definition,
( spl0_51
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f392,plain,
( ! [X1] :
( c3_1(X1)
| c0_1(X1)
| c1_1(X1) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f393,plain,
( spl0_50
| spl0_51
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f169,f229,f212,f391,f388]) ).
fof(f395,definition,
( spl0_52
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f397,plain,
( spl0_52
| spl0_18
| ~ spl0_3
| spl0_27 ),
inference(avatar_split_clause,[],[f168,f298,f212,f264,f395]) ).
fof(f411,definition,
( spl0_56
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f414,plain,
( spl0_25
| spl0_51
| ~ spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f163,f260,f212,f391,f291]) ).
fof(f420,plain,
( spl0_36
| spl0_22
| ~ spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f160,f253,f212,f279,f333]) ).
fof(f422,plain,
( spl0_33
| spl0_32
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f158,f215,f212,f317,f321]) ).
fof(f424,plain,
( spl0_38
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f156,f229,f212,f340]) ).
fof(f425,plain,
( spl0_30
| spl0_42
| ~ spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f155,f260,f212,f356,f310]) ).
fof(f426,plain,
( spl0_50
| spl0_28
| ~ spl0_3
| spl0_29 ),
inference(avatar_split_clause,[],[f154,f305,f212,f302,f388]) ).
fof(f432,plain,
( spl0_36
| spl0_38
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f151,f219,f212,f340,f333]) ).
fof(f433,plain,
( spl0_35
| spl0_32
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f150,f219,f212,f317,f328]) ).
fof(f434,plain,
( spl0_48
| spl0_35
| ~ spl0_3
| spl0_45 ),
inference(avatar_split_clause,[],[f149,f369,f212,f328,f381]) ).
fof(f435,plain,
( spl0_25
| spl0_32
| ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f148,f233,f212,f317,f291]) ).
fof(f440,plain,
( spl0_26
| spl0_48
| ~ spl0_3
| spl0_23 ),
inference(avatar_split_clause,[],[f146,f282,f212,f381,f295]) ).
fof(f441,plain,
( spl0_46
| spl0_28
| ~ spl0_3
| spl0_23 ),
inference(avatar_split_clause,[],[f145,f282,f212,f302,f374]) ).
fof(f450,plain,
( spl0_35
| spl0_40
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f142,f264,f212,f348,f328]) ).
fof(f452,definition,
( spl0_62
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f454,plain,
( spl0_50
| spl0_62
| ~ spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f141,f253,f212,f452,f388]) ).
fof(f455,plain,
( spl0_41
| spl0_38
| ~ spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f140,f250,f212,f340,f352]) ).
fof(f458,plain,
( spl0_39
| spl0_35
| spl0_20
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f137,f212,f272,f328,f344]) ).
fof(f470,definition,
( spl0_65
<=> c3_1(a1534) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f471,plain,
( ~ c3_1(a1534)
| spl0_65 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f472,plain,
( ~ spl0_35
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f134,f470,f328]) ).
fof(f475,definition,
( spl0_66
<=> c2_1(a1535) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f477,plain,
( ~ spl0_39
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f133,f475,f344]) ).
fof(f479,definition,
( spl0_67
<=> c1_1(a1535) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f480,plain,
( ~ c1_1(a1535)
| spl0_67 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f481,plain,
( ~ spl0_39
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f132,f479,f344]) ).
fof(f484,definition,
( spl0_68
<=> c2_1(a1536) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f486,plain,
( ~ spl0_50
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f131,f484,f388]) ).
fof(f488,definition,
( spl0_69
<=> c0_1(a1536) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f490,plain,
( ~ spl0_50
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f130,f488,f388]) ).
fof(f493,definition,
( spl0_70
<=> c3_1(a1538) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f494,plain,
( ~ c3_1(a1538)
| spl0_70 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f495,plain,
( ~ spl0_41
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f129,f493,f352]) ).
fof(f497,definition,
( spl0_71
<=> c2_1(a1538) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f499,plain,
( ~ spl0_41
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f128,f497,f352]) ).
fof(f501,definition,
( spl0_72
<=> c1_1(a1538) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f502,plain,
( ~ c1_1(a1538)
| spl0_72 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f503,plain,
( ~ spl0_41
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f127,f501,f352]) ).
fof(f506,definition,
( spl0_73
<=> c0_1(a1539) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f508,plain,
( ~ spl0_25
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f126,f506,f291]) ).
fof(f511,definition,
( spl0_74
<=> c2_1(a1543) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f513,plain,
( ~ spl0_36
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f125,f511,f333]) ).
fof(f515,definition,
( spl0_75
<=> c1_1(a1543) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f516,plain,
( ~ c1_1(a1543)
| spl0_75 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f517,plain,
( ~ spl0_36
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f124,f515,f333]) ).
fof(f547,definition,
( spl0_82
<=> c1_1(a1549) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f548,plain,
( ~ c1_1(a1549)
| spl0_82 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f549,plain,
( ~ spl0_38
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f117,f547,f340]) ).
fof(f552,definition,
( spl0_83
<=> c1_1(a1553) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f553,plain,
( ~ c1_1(a1553)
| spl0_83 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f554,plain,
( ~ spl0_40
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f116,f552,f348]) ).
fof(f557,definition,
( spl0_84
<=> c0_1(a1554) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f559,plain,
( ~ spl0_62
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f115,f557,f452]) ).
fof(f567,definition,
( spl0_86
<=> c2_1(a1558) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f569,plain,
( ~ spl0_32
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f113,f567,f317]) ).
fof(f572,definition,
( spl0_87
<=> c3_1(a1565) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f573,plain,
( ~ c3_1(a1565)
| spl0_87 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f574,plain,
( ~ spl0_26
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f112,f572,f295]) ).
fof(f576,definition,
( spl0_88
<=> c2_1(a1565) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f578,plain,
( ~ spl0_26
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f111,f576,f295]) ).
fof(f581,definition,
( spl0_89
<=> c1_1(a1566) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f582,plain,
( ~ c1_1(a1566)
| spl0_89 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f583,plain,
( ~ spl0_52
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f110,f581,f395]) ).
fof(f586,definition,
( spl0_90
<=> c1_1(a1570) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f588,plain,
( ~ spl0_43
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f109,f586,f361]) ).
fof(f590,definition,
( spl0_91
<=> c0_1(a1570) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f592,plain,
( ~ spl0_43
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f108,f590,f361]) ).
fof(f600,definition,
( spl0_93
<=> c3_1(a1573) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f601,plain,
( ~ c3_1(a1573)
| spl0_93 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f602,plain,
( ~ spl0_28
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f106,f600,f302]) ).
fof(f604,definition,
( spl0_94
<=> c1_1(a1573) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f605,plain,
( ~ c1_1(a1573)
| spl0_94 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f606,plain,
( ~ spl0_28
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f105,f604,f302]) ).
fof(f609,definition,
( spl0_95
<=> c2_1(a1574) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f611,plain,
( ~ spl0_42
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f104,f609,f356]) ).
fof(f614,definition,
( spl0_96
<=> c1_1(a1575) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f615,plain,
( ~ c1_1(a1575)
| spl0_96 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f616,plain,
( ~ spl0_30
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f103,f614,f310]) ).
fof(f618,definition,
( spl0_97
<=> c0_1(a1575) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f620,plain,
( ~ spl0_30
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f102,f618,f310]) ).
fof(f623,definition,
( spl0_98
<=> c3_1(a1581) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f624,plain,
( ~ c3_1(a1581)
| spl0_98 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f625,plain,
( ~ spl0_33
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f101,f623,f321]) ).
fof(f627,definition,
( spl0_99
<=> c1_1(a1581) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f628,plain,
( ~ c1_1(a1581)
| spl0_99 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f629,plain,
( ~ spl0_33
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f100,f627,f321]) ).
fof(f645,definition,
( spl0_103
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f690,definition,
( spl0_115
<=> c2_1(a1534) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f691,plain,
( c2_1(a1534)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f692,plain,
( spl0_115
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f87,f328,f690]) ).
fof(f694,definition,
( spl0_116
<=> c0_1(a1534) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f696,plain,
( spl0_116
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f86,f328,f694]) ).
fof(f698,definition,
( spl0_117
<=> c3_1(a1535) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f699,plain,
( c3_1(a1535)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f700,plain,
( spl0_117
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f85,f344,f698]) ).
fof(f702,definition,
( spl0_118
<=> c1_1(a1536) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f703,plain,
( c1_1(a1536)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f704,plain,
( spl0_118
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f84,f388,f702]) ).
fof(f706,definition,
( spl0_119
<=> c3_1(a1539) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f707,plain,
( c3_1(a1539)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f708,plain,
( spl0_119
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f83,f291,f706]) ).
fof(f710,definition,
( spl0_120
<=> c1_1(a1539) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f711,plain,
( c1_1(a1539)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f712,plain,
( spl0_120
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f82,f291,f710]) ).
fof(f714,definition,
( spl0_121
<=> c0_1(a1543) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f716,plain,
( spl0_121
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f81,f333,f714]) ).
fof(f730,definition,
( spl0_125
<=> c3_1(a1549) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f731,plain,
( c3_1(a1549)
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f732,plain,
( spl0_125
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f77,f340,f730]) ).
fof(f734,definition,
( spl0_126
<=> c0_1(a1549) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f736,plain,
( spl0_126
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f76,f340,f734]) ).
fof(f738,definition,
( spl0_127
<=> c2_1(a1553) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f740,plain,
( spl0_127
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f75,f348,f738]) ).
fof(f742,definition,
( spl0_128
<=> c0_1(a1553) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f744,plain,
( spl0_128
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f74,f348,f742]) ).
fof(f746,definition,
( spl0_129
<=> c2_1(a1554) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f748,plain,
( spl0_129
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f73,f452,f746]) ).
fof(f750,definition,
( spl0_130
<=> c1_1(a1554) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f751,plain,
( c1_1(a1554)
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f752,plain,
( spl0_130
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f72,f452,f750]) ).
fof(f754,definition,
( spl0_131
<=> c2_1(a1556) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f756,plain,
( spl0_131
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f71,f374,f754]) ).
fof(f758,definition,
( spl0_132
<=> c1_1(a1556) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f759,plain,
( c1_1(a1556)
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f760,plain,
( spl0_132
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f70,f374,f758]) ).
fof(f762,definition,
( spl0_133
<=> c1_1(a1558) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f763,plain,
( c1_1(a1558)
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f764,plain,
( spl0_133
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f69,f317,f762]) ).
fof(f766,definition,
( spl0_134
<=> c0_1(a1558) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f767,plain,
( c0_1(a1558)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f768,plain,
( spl0_134
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f68,f317,f766]) ).
fof(f770,definition,
( spl0_135
<=> c1_1(a1565) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f771,plain,
( c1_1(a1565)
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f772,plain,
( spl0_135
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f67,f295,f770]) ).
fof(f774,definition,
( spl0_136
<=> c3_1(a1566) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f775,plain,
( c3_1(a1566)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f776,plain,
( spl0_136
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f66,f395,f774]) ).
fof(f778,definition,
( spl0_137
<=> c2_1(a1566) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f780,plain,
( spl0_137
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f65,f395,f778]) ).
fof(f782,definition,
( spl0_138
<=> c3_1(a1570) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f783,plain,
( c3_1(a1570)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f784,plain,
( spl0_138
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f64,f361,f782]) ).
fof(f794,definition,
( spl0_141
<=> c0_1(a1573) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f796,plain,
( spl0_141
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f61,f302,f794]) ).
fof(f798,definition,
( spl0_142
<=> c3_1(a1574) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f799,plain,
( c3_1(a1574)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f800,plain,
( spl0_142
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f60,f356,f798]) ).
fof(f802,definition,
( spl0_143
<=> c1_1(a1574) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f804,plain,
( spl0_143
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f59,f356,f802]) ).
fof(f806,definition,
( spl0_144
<=> c2_1(a1575) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f808,plain,
( spl0_144
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f58,f310,f806]) ).
fof(f810,definition,
( spl0_145
<=> c2_1(a1581) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f811,plain,
( c2_1(a1581)
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f812,plain,
( spl0_145
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f57,f321,f810]) ).
fof(f814,definition,
( spl0_146
<=> c3_1(a1593) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f815,plain,
( c3_1(a1593)
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f816,plain,
( spl0_146
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f56,f287,f814]) ).
fof(f818,definition,
( spl0_147
<=> c0_1(a1593) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f820,plain,
( spl0_147
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f55,f287,f818]) ).
fof(f830,definition,
( spl0_150
<=> c3_1(a1542) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f831,plain,
( c3_1(a1542)
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f833,plain,
( spl0_150
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f52,f381,f830]) ).
fof(f835,definition,
( spl0_151
<=> c2_1(a1542) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f837,plain,
( spl0_151
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f51,f381,f835]) ).
fof(f839,definition,
( spl0_152
<=> c1_1(a1542) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f841,plain,
( spl0_152
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f50,f381,f839]) ).
fof(f869,definition,
( spl0_159
<=> c3_1(a1562) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f870,plain,
( c3_1(a1562)
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f872,plain,
( spl0_159
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f43,f366,f869]) ).
fof(f874,definition,
( spl0_160
<=> c2_1(a1562) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f876,plain,
( spl0_160
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f42,f366,f874]) ).
fof(f878,definition,
( spl0_161
<=> c0_1(a1562) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f880,plain,
( spl0_161
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f41,f366,f878]) ).
fof(f885,plain,
( spl0_50
| spl0_62
| spl0_38 ),
inference(avatar_split_clause,[],[f38,f340,f452,f388]) ).
fof(f888,plain,
( spl0_26
| spl0_42
| spl0_32 ),
inference(avatar_split_clause,[],[f35,f317,f356,f295]) ).
fof(f889,plain,
( spl0_41
| spl0_35
| spl0_32 ),
inference(avatar_split_clause,[],[f34,f317,f328,f352]) ).
fof(f891,plain,
( spl0_103
| spl0_28
| spl0_56 ),
inference(avatar_split_clause,[],[f33,f411,f302,f645]) ).
fof(f912,plain,
( spl0_3
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f13,f302,f212]) ).
fof(f918,plain,
( spl0_3
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f7,f645,f212]) ).
fof(f922,plain,
( spl0_3
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f3,f411,f212]) ).
fof(f928,plain,
( ~ c0_1(a1573)
| ~ c2_1(a1573)
| ~ spl0_5
| spl0_94 ),
inference(resolution,[],[f220,f605]) ).
fof(f929,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f220,f210]) ).
fof(f930,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_2
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f929]) ).
fof(f932,definition,
( spl0_162
<=> c2_1(a1573) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f935,plain,
( ~ spl0_162
| ~ spl0_141
| ~ spl0_5
| spl0_94 ),
inference(avatar_split_clause,[],[f928,f604,f219,f794,f932]) ).
fof(f953,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_8
| ~ spl0_17 ),
inference(resolution,[],[f261,f230]) ).
fof(f959,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_8
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f953]) ).
fof(f964,plain,
( ~ c0_1(a1558)
| ~ spl0_8
| ~ spl0_17
| ~ spl0_133 ),
inference(resolution,[],[f959,f763]) ).
fof(f970,plain,
( c2_1(a1573)
| ~ c0_1(a1573)
| ~ spl0_18
| spl0_94 ),
inference(resolution,[],[f265,f605]) ).
fof(f972,plain,
( c2_1(a1538)
| ~ c0_1(a1538)
| ~ spl0_18
| spl0_72 ),
inference(resolution,[],[f265,f502]) ).
fof(f976,definition,
( spl0_163
<=> c0_1(a1538) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f982,plain,
( ~ c0_1(a1534)
| ~ c1_1(a1534)
| ~ spl0_17
| spl0_65 ),
inference(resolution,[],[f471,f261]) ).
fof(f983,plain,
( ~ c0_1(a1534)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_115 ),
inference(resolution,[],[f691,f930]) ).
fof(f984,plain,
( $false
| ~ spl0_8
| ~ spl0_17
| ~ spl0_133
| ~ spl0_134 ),
inference(resolution,[],[f964,f767]) ).
fof(f985,plain,
( ~ spl0_8
| ~ spl0_17
| ~ spl0_133
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f984]) ).
fof(f987,definition,
( spl0_164
<=> c1_1(a1534) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f988,plain,
( ~ c1_1(a1534)
| spl0_164 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f990,plain,
( ~ spl0_164
| ~ spl0_116
| ~ spl0_17
| spl0_65 ),
inference(avatar_split_clause,[],[f982,f470,f260,f694,f987]) ).
fof(f991,plain,
( ~ c0_1(a1549)
| ~ c2_1(a1549)
| ~ spl0_5
| spl0_82 ),
inference(resolution,[],[f548,f220]) ).
fof(f998,definition,
( spl0_165
<=> c2_1(a1539) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
fof(f1011,definition,
( spl0_166
<=> c0_1(a1565) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1016,definition,
( spl0_167
<=> c0_1(a1581) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
fof(f1020,plain,
( c0_1(a1539)
| ~ c2_1(a1539)
| ~ spl0_9
| ~ spl0_120 ),
inference(resolution,[],[f711,f234]) ).
fof(f1024,plain,
( c2_1(a1549)
| c1_1(a1549)
| ~ spl0_12
| ~ spl0_125 ),
inference(resolution,[],[f731,f244]) ).
fof(f1025,plain,
( c1_1(a1549)
| ~ c0_1(a1549)
| ~ spl0_11
| ~ spl0_125 ),
inference(resolution,[],[f731,f240]) ).
fof(f1028,definition,
( spl0_168
<=> c2_1(a1549) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1033,plain,
( ~ spl0_126
| spl0_82
| ~ spl0_11
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1025,f730,f239,f547,f734]) ).
fof(f1034,plain,
( c2_1(a1549)
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1035,plain,
( spl0_82
| spl0_168
| ~ spl0_12
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1024,f730,f243,f1028,f547]) ).
fof(f1039,plain,
( ~ c0_1(a1581)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_145 ),
inference(resolution,[],[f811,f930]) ).
fof(f1040,plain,
( ~ spl0_167
| ~ spl0_2
| ~ spl0_5
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1039,f810,f219,f209,f1016]) ).
fof(f1051,plain,
( ~ c0_1(a1538)
| c1_1(a1538)
| ~ spl0_7
| spl0_70 ),
inference(resolution,[],[f227,f494]) ).
fof(f1074,plain,
( ~ c0_1(a1534)
| ~ c2_1(a1534)
| ~ spl0_5
| spl0_164 ),
inference(resolution,[],[f988,f220]) ).
fof(f1093,plain,
( c1_1(a1538)
| c2_1(a1538)
| ~ spl0_19
| spl0_70 ),
inference(resolution,[],[f269,f494]) ).
fof(f1097,plain,
( spl0_71
| spl0_72
| ~ spl0_19
| spl0_70 ),
inference(avatar_split_clause,[],[f1093,f493,f268,f501,f497]) ).
fof(f1119,plain,
( c2_1(a1538)
| c0_1(a1538)
| ~ spl0_20
| spl0_72 ),
inference(resolution,[],[f273,f502]) ).
fof(f1122,plain,
( spl0_163
| spl0_71
| ~ spl0_20
| spl0_72 ),
inference(avatar_split_clause,[],[f1119,f501,f272,f497,f976]) ).
fof(f1138,plain,
( c0_1(a1538)
| c2_1(a1538)
| ~ spl0_22
| spl0_70 ),
inference(resolution,[],[f280,f494]) ).
fof(f1141,plain,
( spl0_71
| spl0_163
| ~ spl0_22
| spl0_70 ),
inference(avatar_split_clause,[],[f1138,f493,f279,f976,f497]) ).
fof(f1153,definition,
( spl0_172
<=> c0_1(a1574) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f1170,plain,
( ~ c0_1(a1549)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_168 ),
inference(resolution,[],[f1034,f930]) ).
fof(f1172,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_8
| ~ spl0_23 ),
inference(resolution,[],[f283,f230]) ).
fof(f1174,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_11
| ~ spl0_23 ),
inference(resolution,[],[f283,f240]) ).
fof(f1176,plain,
( ~ c0_1(a1573)
| c2_1(a1573)
| ~ spl0_23
| spl0_93 ),
inference(resolution,[],[f283,f601]) ).
fof(f1182,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_11
| ~ spl0_23 ),
inference(duplicate_literal_removal,[],[f1174]) ).
fof(f1184,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_8
| ~ spl0_23 ),
inference(duplicate_literal_removal,[],[f1172]) ).
fof(f1187,plain,
( spl0_18
| ~ spl0_11
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1182,f282,f239,f264]) ).
fof(f1189,plain,
( spl0_34
| ~ spl0_8
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1184,f282,f229,f324]) ).
fof(f1204,plain,
( ~ c0_1(a1593)
| ~ c1_1(a1593)
| ~ spl0_8
| ~ spl0_146 ),
inference(resolution,[],[f815,f230]) ).
fof(f1206,plain,
( c1_1(a1593)
| ~ c0_1(a1593)
| ~ spl0_11
| ~ spl0_146 ),
inference(resolution,[],[f815,f240]) ).
fof(f1209,definition,
( spl0_174
<=> c1_1(a1593) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
fof(f1211,plain,
( ~ spl0_147
| spl0_174
| ~ spl0_11
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1206,f814,f239,f1209,f818]) ).
fof(f1215,plain,
( ~ spl0_174
| ~ spl0_147
| ~ spl0_8
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1204,f814,f229,f818,f1209]) ).
fof(f1219,plain,
( spl0_162
| ~ spl0_141
| ~ spl0_23
| spl0_93 ),
inference(avatar_split_clause,[],[f1176,f600,f282,f794,f932]) ).
fof(f1224,plain,
( ~ c1_1(a1542)
| ~ c2_1(a1542)
| ~ spl0_4
| ~ spl0_150 ),
inference(resolution,[],[f831,f216]) ).
fof(f1225,plain,
( ~ c0_1(a1542)
| ~ c1_1(a1542)
| ~ spl0_8
| ~ spl0_150 ),
inference(resolution,[],[f831,f230]) ).
fof(f1230,definition,
( spl0_175
<=> c0_1(a1542) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
fof(f1251,definition,
( spl0_177
<=> c0_1(a1556) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
fof(f1257,plain,
( ~ c2_1(a1556)
| ~ c0_1(a1556)
| ~ spl0_2
| ~ spl0_132 ),
inference(resolution,[],[f759,f210]) ).
fof(f1266,definition,
( spl0_178
<=> c0_1(a1535) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
fof(f1272,plain,
( c2_1(a1535)
| c1_1(a1535)
| ~ spl0_12
| ~ spl0_117 ),
inference(resolution,[],[f699,f244]) ).
fof(f1274,plain,
( spl0_67
| spl0_66
| ~ spl0_12
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1272,f698,f243,f475,f479]) ).
fof(f1277,plain,
( ~ spl0_115
| ~ spl0_116
| ~ spl0_5
| spl0_164 ),
inference(avatar_split_clause,[],[f1074,f987,f219,f694,f690]) ).
fof(f1278,plain,
( ~ spl0_126
| ~ spl0_2
| ~ spl0_5
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1170,f1028,f219,f209,f734]) ).
fof(f1279,plain,
( ~ spl0_116
| ~ spl0_2
| ~ spl0_5
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f983,f690,f219,f209,f694]) ).
fof(f1296,plain,
( ~ c0_1(a1562)
| ~ c1_1(a1562)
| ~ spl0_8
| ~ spl0_159 ),
inference(resolution,[],[f870,f230]) ).
fof(f1298,definition,
( spl0_179
<=> c1_1(a1562) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
fof(f1304,plain,
( ! [X0] :
( c2_1(X0)
| ~ c1_1(X0)
| c0_1(X0)
| c2_1(X0) )
| ~ spl0_1
| ~ spl0_22 ),
inference(resolution,[],[f207,f280]) ).
fof(f1316,plain,
( ! [X0] :
( c2_1(X0)
| ~ c1_1(X0)
| c0_1(X0) )
| ~ spl0_1
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f1304]) ).
fof(f1326,plain,
( spl0_14
| ~ spl0_1
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1316,f279,f206,f250]) ).
fof(f1336,plain,
( c0_1(a1539)
| ~ c2_1(a1539)
| ~ spl0_10
| ~ spl0_119 ),
inference(resolution,[],[f237,f707]) ).
fof(f1351,plain,
( c2_1(a1549)
| ~ c0_1(a1549)
| ~ spl0_13
| ~ spl0_125 ),
inference(resolution,[],[f247,f731]) ).
fof(f1353,plain,
( c2_1(a1535)
| ~ c0_1(a1535)
| ~ spl0_13
| ~ spl0_117 ),
inference(resolution,[],[f247,f699]) ).
fof(f1356,plain,
( ~ spl0_178
| spl0_66
| ~ spl0_13
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1353,f698,f246,f475,f1266]) ).
fof(f1362,plain,
( ! [X0] :
( c1_1(X0)
| c0_1(X0)
| c0_1(X0)
| c2_1(X0) )
| ~ spl0_16
| ~ spl0_22 ),
inference(resolution,[],[f258,f280]) ).
fof(f1372,plain,
( ! [X0] :
( c1_1(X0)
| c0_1(X0)
| c2_1(X0) )
| ~ spl0_16
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f1362]) ).
fof(f1379,plain,
( spl0_20
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1372,f279,f257,f272]) ).
fof(f1384,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4
| ~ spl0_6 ),
inference(resolution,[],[f223,f216]) ).
fof(f1385,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f223,f230]) ).
fof(f1390,plain,
( ~ c0_1(a1534)
| ~ c2_1(a1534)
| ~ spl0_6
| spl0_65 ),
inference(resolution,[],[f223,f471]) ).
fof(f1393,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_6
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f1385]) ).
fof(f1394,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_4
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f1384]) ).
fof(f1408,plain,
( ~ spl0_126
| spl0_168
| ~ spl0_13
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1351,f730,f246,f1028,f734]) ).
fof(f1433,plain,
( c1_1(a1570)
| c0_1(a1570)
| ~ spl0_16
| ~ spl0_138 ),
inference(resolution,[],[f258,f783]) ).
fof(f1436,plain,
( c1_1(a1535)
| c0_1(a1535)
| ~ spl0_16
| ~ spl0_117 ),
inference(resolution,[],[f258,f699]) ).
fof(f1439,plain,
( spl0_178
| spl0_67
| ~ spl0_16
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1436,f698,f257,f479,f1266]) ).
fof(f1440,plain,
( spl0_91
| spl0_90
| ~ spl0_16
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1433,f782,f257,f586,f590]) ).
fof(f1445,plain,
( c2_1(a1549)
| ~ c0_1(a1549)
| ~ spl0_18
| spl0_82 ),
inference(resolution,[],[f265,f548]) ).
fof(f1449,plain,
( ~ spl0_126
| spl0_168
| ~ spl0_18
| spl0_82 ),
inference(avatar_split_clause,[],[f1445,f547,f264,f1028,f734]) ).
fof(f1475,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_8
| ~ spl0_27 ),
inference(resolution,[],[f299,f230]) ).
fof(f1483,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_8
| ~ spl0_27 ),
inference(duplicate_literal_removal,[],[f1475]) ).
fof(f1488,plain,
( spl0_34
| ~ spl0_8
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1483,f298,f229,f324]) ).
fof(f1491,plain,
( ! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0)
| c1_1(X0) )
| ~ spl0_7
| ~ spl0_29 ),
inference(resolution,[],[f306,f227]) ).
fof(f1502,plain,
( ! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_7
| ~ spl0_29 ),
inference(duplicate_literal_removal,[],[f1491]) ).
fof(f1507,plain,
( spl0_5
| ~ spl0_7
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1502,f305,f226,f219]) ).
fof(f1508,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1393,f229,f222,f209]) ).
fof(f1509,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1394,f222,f215,f209]) ).
fof(f1512,plain,
( ~ spl0_115
| ~ spl0_116
| ~ spl0_6
| spl0_65 ),
inference(avatar_split_clause,[],[f1390,f470,f222,f694,f690]) ).
fof(f1517,plain,
( ~ spl0_177
| ~ spl0_131
| ~ spl0_2
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1257,f758,f209,f754,f1251]) ).
fof(f1522,plain,
( ~ c1_1(a1565)
| c2_1(a1565)
| ~ spl0_27
| spl0_87 ),
inference(resolution,[],[f573,f299]) ).
fof(f1528,plain,
( spl0_88
| ~ spl0_135
| ~ spl0_27
| spl0_87 ),
inference(avatar_split_clause,[],[f1522,f572,f298,f770,f576]) ).
fof(f1529,plain,
( ~ spl0_168
| ~ spl0_126
| ~ spl0_5
| spl0_82 ),
inference(avatar_split_clause,[],[f991,f547,f219,f734,f1028]) ).
fof(f1544,plain,
( ~ c0_1(a1581)
| ~ c2_1(a1581)
| ~ spl0_5
| spl0_99 ),
inference(resolution,[],[f220,f628]) ).
fof(f1546,plain,
( ~ c0_1(a1553)
| ~ c2_1(a1553)
| ~ spl0_5
| spl0_83 ),
inference(resolution,[],[f220,f553]) ).
fof(f1552,plain,
( ~ spl0_127
| ~ spl0_128
| ~ spl0_5
| spl0_83 ),
inference(avatar_split_clause,[],[f1546,f552,f219,f742,f738]) ).
fof(f1557,plain,
( c1_1(a1562)
| ~ c2_1(a1562)
| ~ spl0_29
| ~ spl0_159 ),
inference(resolution,[],[f306,f870]) ).
fof(f1573,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_8
| ~ spl0_31 ),
inference(resolution,[],[f314,f230]) ).
fof(f1578,plain,
( ~ c1_1(a1534)
| ~ c2_1(a1534)
| ~ spl0_31
| spl0_65 ),
inference(resolution,[],[f314,f471]) ).
fof(f1581,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_8
| ~ spl0_31 ),
inference(duplicate_literal_removal,[],[f1573]) ).
fof(f1586,plain,
( ~ spl0_115
| ~ spl0_164
| ~ spl0_31
| spl0_65 ),
inference(avatar_split_clause,[],[f1578,f470,f313,f987,f690]) ).
fof(f1594,plain,
( spl0_2
| ~ spl0_8
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1581,f313,f229,f209]) ).
fof(f1604,plain,
( c2_1(a1565)
| ~ c0_1(a1565)
| ~ spl0_34
| ~ spl0_135 ),
inference(resolution,[],[f325,f771]) ).
fof(f1605,plain,
( c2_1(a1558)
| ~ c0_1(a1558)
| ~ spl0_34
| ~ spl0_133 ),
inference(resolution,[],[f325,f763]) ).
fof(f1616,plain,
( ~ spl0_134
| spl0_86
| ~ spl0_34
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1605,f762,f324,f567,f766]) ).
fof(f1617,plain,
( ~ spl0_166
| spl0_88
| ~ spl0_34
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f1604,f770,f324,f576,f1011]) ).
fof(f1633,plain,
( ~ spl0_165
| spl0_73
| ~ spl0_10
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1336,f706,f236,f506,f998]) ).
fof(f1660,plain,
( ! [X0] :
( c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0)
| c2_1(X0) )
| ~ spl0_1
| ~ spl0_23 ),
inference(resolution,[],[f207,f283]) ).
fof(f1666,plain,
( c2_1(a1574)
| ~ c1_1(a1574)
| ~ spl0_1
| ~ spl0_142 ),
inference(resolution,[],[f207,f799]) ).
fof(f1669,plain,
( c2_1(a1539)
| ~ c1_1(a1539)
| ~ spl0_1
| ~ spl0_119 ),
inference(resolution,[],[f207,f707]) ).
fof(f1672,plain,
( ! [X0] :
( c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_1
| ~ spl0_23 ),
inference(duplicate_literal_removal,[],[f1660]) ).
fof(f1674,plain,
( ~ spl0_120
| spl0_165
| ~ spl0_1
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1669,f706,f206,f998,f710]) ).
fof(f1675,plain,
( ~ spl0_143
| spl0_95
| ~ spl0_1
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1666,f798,f206,f609,f802]) ).
fof(f1679,plain,
( spl0_34
| ~ spl0_1
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1672,f282,f206,f324]) ).
fof(f1685,plain,
( c0_1(a1542)
| ~ c2_1(a1542)
| ~ spl0_10
| ~ spl0_150 ),
inference(resolution,[],[f831,f237]) ).
fof(f1686,plain,
( ~ spl0_151
| spl0_175
| ~ spl0_10
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1685,f830,f236,f1230,f835]) ).
fof(f1697,plain,
( c2_1(a1539)
| c0_1(a1539)
| ~ spl0_14
| ~ spl0_120 ),
inference(resolution,[],[f251,f711]) ).
fof(f1698,plain,
( c2_1(a1536)
| c0_1(a1536)
| ~ spl0_14
| ~ spl0_118 ),
inference(resolution,[],[f251,f703]) ).
fof(f1702,plain,
( spl0_69
| spl0_68
| ~ spl0_14
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1698,f702,f250,f484,f488]) ).
fof(f1703,plain,
( spl0_73
| spl0_165
| ~ spl0_14
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1697,f710,f250,f998,f506]) ).
fof(f1712,plain,
( c2_1(a1574)
| c0_1(a1574)
| ~ spl0_15
| ~ spl0_142 ),
inference(resolution,[],[f254,f799]) ).
fof(f1715,plain,
( c2_1(a1539)
| c0_1(a1539)
| ~ spl0_15
| ~ spl0_119 ),
inference(resolution,[],[f254,f707]) ).
fof(f1716,plain,
( c2_1(a1535)
| c0_1(a1535)
| ~ spl0_15
| ~ spl0_117 ),
inference(resolution,[],[f254,f699]) ).
fof(f1719,plain,
( spl0_178
| spl0_66
| ~ spl0_15
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1716,f698,f253,f475,f1266]) ).
fof(f1720,plain,
( spl0_73
| spl0_165
| ~ spl0_15
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1715,f706,f253,f998,f506]) ).
fof(f1722,plain,
( spl0_172
| spl0_95
| ~ spl0_15
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1712,f798,f253,f609,f1153]) ).
fof(f1774,plain,
( c0_1(a1574)
| ~ c1_1(a1574)
| ~ spl0_45
| ~ spl0_142 ),
inference(resolution,[],[f370,f799]) ).
fof(f1781,plain,
( ~ spl0_143
| spl0_172
| ~ spl0_45
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1774,f798,f369,f1153,f802]) ).
fof(f1807,plain,
( ~ c2_1(a1581)
| c0_1(a1581)
| ~ spl0_49
| spl0_99 ),
inference(resolution,[],[f385,f628]) ).
fof(f1808,plain,
( ~ c2_1(a1575)
| c0_1(a1575)
| ~ spl0_49
| spl0_96 ),
inference(resolution,[],[f385,f615]) ).
fof(f1818,plain,
( spl0_97
| ~ spl0_144
| ~ spl0_49
| spl0_96 ),
inference(avatar_split_clause,[],[f1808,f614,f384,f806,f618]) ).
fof(f1826,plain,
( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_29
| ~ spl0_51 ),
inference(resolution,[],[f392,f306]) ).
fof(f1828,plain,
( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_10
| ~ spl0_51 ),
inference(resolution,[],[f392,f237]) ).
fof(f1829,plain,
( c0_1(a1581)
| c1_1(a1581)
| ~ spl0_51
| spl0_98 ),
inference(resolution,[],[f392,f624]) ).
fof(f1836,plain,
( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_10
| ~ spl0_51 ),
inference(duplicate_literal_removal,[],[f1828]) ).
fof(f1838,plain,
( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_29
| ~ spl0_51 ),
inference(duplicate_literal_removal,[],[f1826]) ).
fof(f1844,plain,
( spl0_99
| spl0_167
| ~ spl0_51
| spl0_98 ),
inference(avatar_split_clause,[],[f1829,f623,f391,f1016,f627]) ).
fof(f1845,plain,
( spl0_49
| ~ spl0_10
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1836,f391,f236,f384]) ).
fof(f1846,plain,
( spl0_49
| ~ spl0_29
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1838,f391,f305,f384]) ).
fof(f1848,plain,
( ~ spl0_151
| ~ spl0_152
| ~ spl0_4
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1224,f830,f215,f839,f835]) ).
fof(f1855,plain,
( ~ spl0_152
| ~ spl0_175
| ~ spl0_8
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1225,f830,f229,f1230,f839]) ).
fof(f1858,plain,
( ~ spl0_179
| ~ spl0_161
| ~ spl0_8
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f1296,f869,f229,f878,f1298]) ).
fof(f1860,plain,
( ~ spl0_165
| spl0_73
| ~ spl0_9
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1020,f710,f233,f506,f998]) ).
fof(f1871,plain,
( spl0_167
| ~ spl0_145
| ~ spl0_49
| spl0_99 ),
inference(avatar_split_clause,[],[f1807,f627,f384,f810,f1016]) ).
fof(f1876,plain,
( ~ spl0_145
| ~ spl0_167
| ~ spl0_5
| spl0_99 ),
inference(avatar_split_clause,[],[f1544,f627,f219,f1016,f810]) ).
fof(f1894,plain,
( c0_1(a1565)
| c2_1(a1565)
| ~ spl0_22
| spl0_87 ),
inference(resolution,[],[f573,f280]) ).
fof(f1895,plain,
( spl0_88
| spl0_166
| ~ spl0_22
| spl0_87 ),
inference(avatar_split_clause,[],[f1894,f572,f279,f1011,f576]) ).
fof(f1896,plain,
( ~ c0_1(a1566)
| ~ c2_1(a1566)
| ~ spl0_5
| spl0_89 ),
inference(resolution,[],[f582,f220]) ).
fof(f1899,definition,
( spl0_183
<=> c0_1(a1566) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
fof(f1904,plain,
( ~ spl0_137
| ~ spl0_183
| ~ spl0_5
| spl0_89 ),
inference(avatar_split_clause,[],[f1896,f581,f219,f1899,f778]) ).
fof(f1908,plain,
( c1_1(a1566)
| c0_1(a1566)
| ~ spl0_16
| ~ spl0_136 ),
inference(resolution,[],[f775,f258]) ).
fof(f1912,plain,
( spl0_183
| spl0_89
| ~ spl0_16
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1908,f774,f257,f581,f1899]) ).
fof(f1913,plain,
( spl0_72
| ~ spl0_163
| ~ spl0_7
| spl0_70 ),
inference(avatar_split_clause,[],[f1051,f493,f226,f976,f501]) ).
fof(f1919,plain,
( ~ spl0_141
| spl0_162
| ~ spl0_18
| spl0_94 ),
inference(avatar_split_clause,[],[f970,f604,f264,f932,f794]) ).
fof(f1920,plain,
( ~ spl0_163
| spl0_71
| ~ spl0_18
| spl0_72 ),
inference(avatar_split_clause,[],[f972,f501,f264,f497,f976]) ).
fof(f1927,plain,
( ~ spl0_160
| spl0_179
| ~ spl0_29
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f1557,f869,f305,f1298,f874]) ).
fof(f1935,plain,
( ~ c1_1(a1539)
| ~ c2_1(a1539)
| ~ spl0_4
| ~ spl0_119 ),
inference(resolution,[],[f216,f707]) ).
fof(f1936,plain,
( ~ spl0_165
| ~ spl0_120
| ~ spl0_4
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1935,f706,f215,f710,f998]) ).
fof(f1942,plain,
( ~ c0_1(a1581)
| c1_1(a1581)
| ~ spl0_7
| spl0_98 ),
inference(resolution,[],[f227,f624]) ).
fof(f1943,plain,
( ~ c0_1(a1573)
| c1_1(a1573)
| ~ spl0_7
| spl0_93 ),
inference(resolution,[],[f227,f601]) ).
fof(f1955,plain,
( spl0_94
| ~ spl0_141
| ~ spl0_7
| spl0_93 ),
inference(avatar_split_clause,[],[f1943,f600,f226,f794,f604]) ).
fof(f1956,plain,
( spl0_99
| ~ spl0_167
| ~ spl0_7
| spl0_98 ),
inference(avatar_split_clause,[],[f1942,f623,f226,f1016,f627]) ).
fof(f1963,plain,
( ~ c0_1(a1574)
| ~ c1_1(a1574)
| ~ spl0_8
| ~ spl0_142 ),
inference(resolution,[],[f230,f799]) ).
fof(f1967,plain,
( ~ spl0_143
| ~ spl0_172
| ~ spl0_8
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1963,f798,f229,f1153,f802]) ).
fof(f1973,plain,
( c0_1(a1556)
| ~ c2_1(a1556)
| ~ spl0_9
| ~ spl0_132 ),
inference(resolution,[],[f234,f759]) ).
fof(f1974,plain,
( c0_1(a1554)
| ~ c2_1(a1554)
| ~ spl0_9
| ~ spl0_130 ),
inference(resolution,[],[f234,f751]) ).
fof(f1988,plain,
( ~ spl0_129
| spl0_84
| ~ spl0_9
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1974,f750,f233,f557,f746]) ).
fof(f1989,plain,
( ~ spl0_131
| spl0_177
| ~ spl0_9
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1973,f758,f233,f1251,f754]) ).
fof(f2011,plain,
( c2_1(a1543)
| ~ c0_1(a1543)
| ~ spl0_18
| spl0_75 ),
inference(resolution,[],[f265,f516]) ).
fof(f2012,plain,
( c2_1(a1535)
| ~ c0_1(a1535)
| ~ spl0_18
| spl0_67 ),
inference(resolution,[],[f265,f480]) ).
fof(f2014,plain,
( ~ spl0_178
| spl0_66
| ~ spl0_18
| spl0_67 ),
inference(avatar_split_clause,[],[f2012,f479,f264,f475,f1266]) ).
fof(f2016,plain,
( ~ spl0_121
| spl0_74
| ~ spl0_18
| spl0_75 ),
inference(avatar_split_clause,[],[f2011,f515,f264,f511,f714]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f217]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f224]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_5
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f231]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_9
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f241]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_10
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f248]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_4
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f255]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_6
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f262]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_5
| spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f266]) ).
cnf(s9,plain,
( spl0_2
| ~ spl0_3
| spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f270]) ).
cnf(s11,plain,
( ~ spl0_3
| spl0_7
| spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f284]) ).
cnf(s13,plain,
( ~ spl0_3
| spl0_4
| spl0_17
| spl0_24 ),
inference(sat_conversion,[],[f289]) ).
cnf(s14,plain,
( spl0_1
| ~ spl0_3
| spl0_8
| spl0_25 ),
inference(sat_conversion,[],[f293]) ).
cnf(s16,plain,
( ~ spl0_3
| spl0_6
| spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f307]) ).
cnf(s18,plain,
( ~ spl0_3
| spl0_11
| spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f315]) ).
cnf(s19,plain,
( spl0_1
| ~ spl0_3
| spl0_11
| spl0_32 ),
inference(sat_conversion,[],[f319]) ).
cnf(s20,plain,
( ~ spl0_3
| spl0_11
| spl0_33
| spl0_34 ),
inference(sat_conversion,[],[f326]) ).
cnf(s22,plain,
( ~ spl0_3
| spl0_5
| spl0_30
| spl0_34 ),
inference(sat_conversion,[],[f331]) ).
cnf(s24,plain,
( ~ spl0_3
| spl0_9
| spl0_34
| spl0_38 ),
inference(sat_conversion,[],[f342]) ).
cnf(s25,plain,
( ~ spl0_3
| spl0_5
| spl0_9
| spl0_39 ),
inference(sat_conversion,[],[f346]) ).
cnf(s26,plain,
( ~ spl0_3
| spl0_4
| spl0_15
| spl0_40 ),
inference(sat_conversion,[],[f350]) ).
cnf(s28,plain,
( ~ spl0_3
| spl0_5
| spl0_27
| spl0_42 ),
inference(sat_conversion,[],[f358]) ).
cnf(s29,plain,
( ~ spl0_3
| spl0_5
| spl0_23
| spl0_28 ),
inference(sat_conversion,[],[f359]) ).
cnf(s30,plain,
( ~ spl0_3
| spl0_7
| spl0_13
| spl0_43 ),
inference(sat_conversion,[],[f363]) ).
cnf(s32,plain,
( ~ spl0_3
| spl0_7
| spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f371]) ).
cnf(s35,plain,
( spl0_1
| ~ spl0_3
| spl0_48
| spl0_49 ),
inference(sat_conversion,[],[f386]) ).
cnf(s36,plain,
( ~ spl0_3
| spl0_8
| spl0_50
| spl0_51 ),
inference(sat_conversion,[],[f393]) ).
cnf(s37,plain,
( ~ spl0_3
| spl0_18
| spl0_27
| spl0_52 ),
inference(sat_conversion,[],[f397]) ).
cnf(s42,plain,
( ~ spl0_3
| spl0_17
| spl0_25
| spl0_51 ),
inference(sat_conversion,[],[f414]) ).
cnf(s45,plain,
( ~ spl0_3
| spl0_15
| spl0_22
| spl0_36 ),
inference(sat_conversion,[],[f420]) ).
cnf(s47,plain,
( ~ spl0_3
| spl0_4
| spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f422]) ).
cnf(s49,plain,
( ~ spl0_3
| spl0_8
| spl0_38 ),
inference(sat_conversion,[],[f424]) ).
cnf(s50,plain,
( ~ spl0_3
| spl0_17
| spl0_30
| spl0_42 ),
inference(sat_conversion,[],[f425]) ).
cnf(s51,plain,
( ~ spl0_3
| spl0_28
| spl0_29
| spl0_50 ),
inference(sat_conversion,[],[f426]) ).
cnf(s54,plain,
( ~ spl0_3
| spl0_5
| spl0_36
| spl0_38 ),
inference(sat_conversion,[],[f432]) ).
cnf(s55,plain,
( ~ spl0_3
| spl0_5
| spl0_32
| spl0_35 ),
inference(sat_conversion,[],[f433]) ).
cnf(s56,plain,
( ~ spl0_3
| spl0_35
| spl0_45
| spl0_48 ),
inference(sat_conversion,[],[f434]) ).
cnf(s57,plain,
( ~ spl0_3
| spl0_9
| spl0_25
| spl0_32 ),
inference(sat_conversion,[],[f435]) ).
cnf(s59,plain,
( ~ spl0_3
| spl0_23
| spl0_26
| spl0_48 ),
inference(sat_conversion,[],[f440]) ).
cnf(s60,plain,
( ~ spl0_3
| spl0_23
| spl0_28
| spl0_46 ),
inference(sat_conversion,[],[f441]) ).
cnf(s63,plain,
( ~ spl0_3
| spl0_18
| spl0_35
| spl0_40 ),
inference(sat_conversion,[],[f450]) ).
cnf(s64,plain,
( ~ spl0_3
| spl0_15
| spl0_50
| spl0_62 ),
inference(sat_conversion,[],[f454]) ).
cnf(s65,plain,
( ~ spl0_3
| spl0_14
| spl0_38
| spl0_41 ),
inference(sat_conversion,[],[f455]) ).
cnf(s68,plain,
( ~ spl0_3
| spl0_20
| spl0_35
| spl0_39 ),
inference(sat_conversion,[],[f458]) ).
cnf(s71,plain,
( ~ spl0_35
| ~ spl0_65 ),
inference(sat_conversion,[],[f472]) ).
cnf(s72,plain,
( ~ spl0_39
| ~ spl0_66 ),
inference(sat_conversion,[],[f477]) ).
cnf(s73,plain,
( ~ spl0_39
| ~ spl0_67 ),
inference(sat_conversion,[],[f481]) ).
cnf(s74,plain,
( ~ spl0_50
| ~ spl0_68 ),
inference(sat_conversion,[],[f486]) ).
cnf(s75,plain,
( ~ spl0_50
| ~ spl0_69 ),
inference(sat_conversion,[],[f490]) ).
cnf(s76,plain,
( ~ spl0_41
| ~ spl0_70 ),
inference(sat_conversion,[],[f495]) ).
cnf(s77,plain,
( ~ spl0_41
| ~ spl0_71 ),
inference(sat_conversion,[],[f499]) ).
cnf(s78,plain,
( ~ spl0_41
| ~ spl0_72 ),
inference(sat_conversion,[],[f503]) ).
cnf(s79,plain,
( ~ spl0_25
| ~ spl0_73 ),
inference(sat_conversion,[],[f508]) ).
cnf(s80,plain,
( ~ spl0_36
| ~ spl0_74 ),
inference(sat_conversion,[],[f513]) ).
cnf(s81,plain,
( ~ spl0_36
| ~ spl0_75 ),
inference(sat_conversion,[],[f517]) ).
cnf(s88,plain,
( ~ spl0_38
| ~ spl0_82 ),
inference(sat_conversion,[],[f549]) ).
cnf(s89,plain,
( ~ spl0_40
| ~ spl0_83 ),
inference(sat_conversion,[],[f554]) ).
cnf(s90,plain,
( ~ spl0_62
| ~ spl0_84 ),
inference(sat_conversion,[],[f559]) ).
cnf(s92,plain,
( ~ spl0_32
| ~ spl0_86 ),
inference(sat_conversion,[],[f569]) ).
cnf(s93,plain,
( ~ spl0_26
| ~ spl0_87 ),
inference(sat_conversion,[],[f574]) ).
cnf(s94,plain,
( ~ spl0_26
| ~ spl0_88 ),
inference(sat_conversion,[],[f578]) ).
cnf(s95,plain,
( ~ spl0_52
| ~ spl0_89 ),
inference(sat_conversion,[],[f583]) ).
cnf(s96,plain,
( ~ spl0_43
| ~ spl0_90 ),
inference(sat_conversion,[],[f588]) ).
cnf(s97,plain,
( ~ spl0_43
| ~ spl0_91 ),
inference(sat_conversion,[],[f592]) ).
cnf(s99,plain,
( ~ spl0_28
| ~ spl0_93 ),
inference(sat_conversion,[],[f602]) ).
cnf(s100,plain,
( ~ spl0_28
| ~ spl0_94 ),
inference(sat_conversion,[],[f606]) ).
cnf(s101,plain,
( ~ spl0_42
| ~ spl0_95 ),
inference(sat_conversion,[],[f611]) ).
cnf(s102,plain,
( ~ spl0_30
| ~ spl0_96 ),
inference(sat_conversion,[],[f616]) ).
cnf(s103,plain,
( ~ spl0_30
| ~ spl0_97 ),
inference(sat_conversion,[],[f620]) ).
cnf(s104,plain,
( ~ spl0_33
| ~ spl0_98 ),
inference(sat_conversion,[],[f625]) ).
cnf(s105,plain,
( ~ spl0_33
| ~ spl0_99 ),
inference(sat_conversion,[],[f629]) ).
cnf(s118,plain,
( ~ spl0_35
| spl0_115 ),
inference(sat_conversion,[],[f692]) ).
cnf(s119,plain,
( ~ spl0_35
| spl0_116 ),
inference(sat_conversion,[],[f696]) ).
cnf(s120,plain,
( ~ spl0_39
| spl0_117 ),
inference(sat_conversion,[],[f700]) ).
cnf(s121,plain,
( ~ spl0_50
| spl0_118 ),
inference(sat_conversion,[],[f704]) ).
cnf(s122,plain,
( ~ spl0_25
| spl0_119 ),
inference(sat_conversion,[],[f708]) ).
cnf(s123,plain,
( ~ spl0_25
| spl0_120 ),
inference(sat_conversion,[],[f712]) ).
cnf(s124,plain,
( ~ spl0_36
| spl0_121 ),
inference(sat_conversion,[],[f716]) ).
cnf(s128,plain,
( ~ spl0_38
| spl0_125 ),
inference(sat_conversion,[],[f732]) ).
cnf(s129,plain,
( ~ spl0_38
| spl0_126 ),
inference(sat_conversion,[],[f736]) ).
cnf(s130,plain,
( ~ spl0_40
| spl0_127 ),
inference(sat_conversion,[],[f740]) ).
cnf(s131,plain,
( ~ spl0_40
| spl0_128 ),
inference(sat_conversion,[],[f744]) ).
cnf(s132,plain,
( ~ spl0_62
| spl0_129 ),
inference(sat_conversion,[],[f748]) ).
cnf(s133,plain,
( ~ spl0_62
| spl0_130 ),
inference(sat_conversion,[],[f752]) ).
cnf(s134,plain,
( ~ spl0_46
| spl0_131 ),
inference(sat_conversion,[],[f756]) ).
cnf(s135,plain,
( ~ spl0_46
| spl0_132 ),
inference(sat_conversion,[],[f760]) ).
cnf(s136,plain,
( ~ spl0_32
| spl0_133 ),
inference(sat_conversion,[],[f764]) ).
cnf(s137,plain,
( ~ spl0_32
| spl0_134 ),
inference(sat_conversion,[],[f768]) ).
cnf(s138,plain,
( ~ spl0_26
| spl0_135 ),
inference(sat_conversion,[],[f772]) ).
cnf(s139,plain,
( ~ spl0_52
| spl0_136 ),
inference(sat_conversion,[],[f776]) ).
cnf(s140,plain,
( ~ spl0_52
| spl0_137 ),
inference(sat_conversion,[],[f780]) ).
cnf(s141,plain,
( ~ spl0_43
| spl0_138 ),
inference(sat_conversion,[],[f784]) ).
cnf(s144,plain,
( ~ spl0_28
| spl0_141 ),
inference(sat_conversion,[],[f796]) ).
cnf(s145,plain,
( ~ spl0_42
| spl0_142 ),
inference(sat_conversion,[],[f800]) ).
cnf(s146,plain,
( ~ spl0_42
| spl0_143 ),
inference(sat_conversion,[],[f804]) ).
cnf(s147,plain,
( ~ spl0_30
| spl0_144 ),
inference(sat_conversion,[],[f808]) ).
cnf(s148,plain,
( ~ spl0_33
| spl0_145 ),
inference(sat_conversion,[],[f812]) ).
cnf(s149,plain,
( ~ spl0_24
| spl0_146 ),
inference(sat_conversion,[],[f816]) ).
cnf(s150,plain,
( ~ spl0_24
| spl0_147 ),
inference(sat_conversion,[],[f820]) ).
cnf(s153,plain,
( ~ spl0_48
| spl0_150 ),
inference(sat_conversion,[],[f833]) ).
cnf(s154,plain,
( ~ spl0_48
| spl0_151 ),
inference(sat_conversion,[],[f837]) ).
cnf(s155,plain,
( ~ spl0_48
| spl0_152 ),
inference(sat_conversion,[],[f841]) ).
cnf(s162,plain,
( ~ spl0_44
| spl0_159 ),
inference(sat_conversion,[],[f872]) ).
cnf(s163,plain,
( ~ spl0_44
| spl0_160 ),
inference(sat_conversion,[],[f876]) ).
cnf(s164,plain,
( ~ spl0_44
| spl0_161 ),
inference(sat_conversion,[],[f880]) ).
cnf(s167,plain,
( spl0_38
| spl0_50
| spl0_62 ),
inference(sat_conversion,[],[f885]) ).
cnf(s170,plain,
( spl0_26
| spl0_32
| spl0_42 ),
inference(sat_conversion,[],[f888]) ).
cnf(s171,plain,
( spl0_32
| spl0_35
| spl0_41 ),
inference(sat_conversion,[],[f889]) ).
cnf(s172,plain,
( spl0_28
| spl0_56
| spl0_103 ),
inference(sat_conversion,[],[f891]) ).
cnf(s192,plain,
( spl0_3
| ~ spl0_28 ),
inference(sat_conversion,[],[f912]) ).
cnf(s198,plain,
( spl0_3
| ~ spl0_103 ),
inference(sat_conversion,[],[f918]) ).
cnf(s202,plain,
( spl0_3
| ~ spl0_56 ),
inference(sat_conversion,[],[f922]) ).
cnf(s205,plain,
( ~ spl0_5
| spl0_94
| ~ spl0_141
| ~ spl0_162 ),
inference(sat_conversion,[],[f935]) ).
cnf(s210,plain,
( ~ spl0_8
| ~ spl0_17
| ~ spl0_133
| ~ spl0_134 ),
inference(sat_conversion,[],[f985]) ).
cnf(s211,plain,
( ~ spl0_17
| spl0_65
| ~ spl0_116
| ~ spl0_164 ),
inference(sat_conversion,[],[f990]) ).
cnf(s221,plain,
( ~ spl0_11
| spl0_82
| ~ spl0_125
| ~ spl0_126 ),
inference(sat_conversion,[],[f1033]) ).
cnf(s222,plain,
( ~ spl0_12
| spl0_82
| ~ spl0_125
| spl0_168 ),
inference(sat_conversion,[],[f1035]) ).
cnf(s224,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_145
| ~ spl0_167 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s233,plain,
( ~ spl0_19
| spl0_70
| spl0_71
| spl0_72 ),
inference(sat_conversion,[],[f1097]) ).
cnf(s239,plain,
( ~ spl0_20
| spl0_71
| spl0_72
| spl0_163 ),
inference(sat_conversion,[],[f1122]) ).
cnf(s243,plain,
( ~ spl0_22
| spl0_70
| spl0_71
| spl0_163 ),
inference(sat_conversion,[],[f1141]) ).
cnf(s253,plain,
( ~ spl0_11
| spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f1187]) ).
cnf(s255,plain,
( ~ spl0_8
| ~ spl0_23
| spl0_34 ),
inference(sat_conversion,[],[f1189]) ).
cnf(s260,plain,
( ~ spl0_11
| ~ spl0_146
| ~ spl0_147
| spl0_174 ),
inference(sat_conversion,[],[f1211]) ).
cnf(s262,plain,
( ~ spl0_8
| ~ spl0_146
| ~ spl0_147
| ~ spl0_174 ),
inference(sat_conversion,[],[f1215]) ).
cnf(s267,plain,
( ~ spl0_23
| spl0_93
| ~ spl0_141
| spl0_162 ),
inference(sat_conversion,[],[f1219]) ).
cnf(s284,plain,
( ~ spl0_12
| spl0_66
| spl0_67
| ~ spl0_117 ),
inference(sat_conversion,[],[f1274]) ).
cnf(s285,plain,
( ~ spl0_5
| ~ spl0_115
| ~ spl0_116
| spl0_164 ),
inference(sat_conversion,[],[f1277]) ).
cnf(s286,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_126
| ~ spl0_168 ),
inference(sat_conversion,[],[f1278]) ).
cnf(s287,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_115
| ~ spl0_116 ),
inference(sat_conversion,[],[f1279]) ).
cnf(s300,plain,
( ~ spl0_1
| spl0_14
| ~ spl0_22 ),
inference(sat_conversion,[],[f1326]) ).
cnf(s304,plain,
( ~ spl0_13
| spl0_66
| ~ spl0_117
| ~ spl0_178 ),
inference(sat_conversion,[],[f1356]) ).
cnf(s313,plain,
( ~ spl0_16
| spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f1379]) ).
cnf(s327,plain,
( ~ spl0_13
| ~ spl0_125
| ~ spl0_126
| spl0_168 ),
inference(sat_conversion,[],[f1408]) ).
cnf(s334,plain,
( ~ spl0_16
| spl0_67
| ~ spl0_117
| spl0_178 ),
inference(sat_conversion,[],[f1439]) ).
cnf(s335,plain,
( ~ spl0_16
| spl0_90
| spl0_91
| ~ spl0_138 ),
inference(sat_conversion,[],[f1440]) ).
cnf(s339,plain,
( ~ spl0_18
| spl0_82
| ~ spl0_126
| spl0_168 ),
inference(sat_conversion,[],[f1449]) ).
cnf(s347,plain,
( ~ spl0_8
| ~ spl0_27
| spl0_34 ),
inference(sat_conversion,[],[f1488]) ).
cnf(s351,plain,
( spl0_5
| ~ spl0_7
| ~ spl0_29 ),
inference(sat_conversion,[],[f1507]) ).
cnf(s352,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f1508]) ).
cnf(s353,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f1509]) ).
cnf(s356,plain,
( ~ spl0_6
| spl0_65
| ~ spl0_115
| ~ spl0_116 ),
inference(sat_conversion,[],[f1512]) ).
cnf(s361,plain,
( ~ spl0_2
| ~ spl0_131
| ~ spl0_132
| ~ spl0_177 ),
inference(sat_conversion,[],[f1517]) ).
cnf(s367,plain,
( ~ spl0_27
| spl0_87
| spl0_88
| ~ spl0_135 ),
inference(sat_conversion,[],[f1528]) ).
cnf(s368,plain,
( ~ spl0_5
| spl0_82
| ~ spl0_126
| ~ spl0_168 ),
inference(sat_conversion,[],[f1529]) ).
cnf(s380,plain,
( ~ spl0_5
| spl0_83
| ~ spl0_127
| ~ spl0_128 ),
inference(sat_conversion,[],[f1552]) ).
cnf(s384,plain,
( ~ spl0_31
| spl0_65
| ~ spl0_115
| ~ spl0_164 ),
inference(sat_conversion,[],[f1586]) ).
cnf(s388,plain,
( spl0_2
| ~ spl0_8
| ~ spl0_31 ),
inference(sat_conversion,[],[f1594]) ).
cnf(s391,plain,
( ~ spl0_34
| spl0_86
| ~ spl0_133
| ~ spl0_134 ),
inference(sat_conversion,[],[f1616]) ).
cnf(s392,plain,
( ~ spl0_34
| spl0_88
| ~ spl0_135
| ~ spl0_166 ),
inference(sat_conversion,[],[f1617]) ).
cnf(s409,plain,
( ~ spl0_10
| spl0_73
| ~ spl0_119
| ~ spl0_165 ),
inference(sat_conversion,[],[f1633]) ).
cnf(s428,plain,
( ~ spl0_1
| ~ spl0_119
| ~ spl0_120
| spl0_165 ),
inference(sat_conversion,[],[f1674]) ).
cnf(s429,plain,
( ~ spl0_1
| spl0_95
| ~ spl0_142
| ~ spl0_143 ),
inference(sat_conversion,[],[f1675]) ).
cnf(s434,plain,
( ~ spl0_1
| ~ spl0_23
| spl0_34 ),
inference(sat_conversion,[],[f1679]) ).
cnf(s437,plain,
( ~ spl0_10
| ~ spl0_150
| ~ spl0_151
| spl0_175 ),
inference(sat_conversion,[],[f1686]) ).
cnf(s439,plain,
( ~ spl0_14
| spl0_68
| spl0_69
| ~ spl0_118 ),
inference(sat_conversion,[],[f1702]) ).
cnf(s440,plain,
( ~ spl0_14
| spl0_73
| ~ spl0_120
| spl0_165 ),
inference(sat_conversion,[],[f1703]) ).
cnf(s442,plain,
( ~ spl0_15
| spl0_66
| ~ spl0_117
| spl0_178 ),
inference(sat_conversion,[],[f1719]) ).
cnf(s443,plain,
( ~ spl0_15
| spl0_73
| ~ spl0_119
| spl0_165 ),
inference(sat_conversion,[],[f1720]) ).
cnf(s445,plain,
( ~ spl0_15
| spl0_95
| ~ spl0_142
| spl0_172 ),
inference(sat_conversion,[],[f1722]) ).
cnf(s455,plain,
( ~ spl0_45
| ~ spl0_142
| ~ spl0_143
| spl0_172 ),
inference(sat_conversion,[],[f1781]) ).
cnf(s462,plain,
( ~ spl0_49
| spl0_96
| spl0_97
| ~ spl0_144 ),
inference(sat_conversion,[],[f1818]) ).
cnf(s466,plain,
( ~ spl0_51
| spl0_98
| spl0_99
| spl0_167 ),
inference(sat_conversion,[],[f1844]) ).
cnf(s467,plain,
( ~ spl0_10
| spl0_49
| ~ spl0_51 ),
inference(sat_conversion,[],[f1845]) ).
cnf(s468,plain,
( ~ spl0_29
| spl0_49
| ~ spl0_51 ),
inference(sat_conversion,[],[f1846]) ).
cnf(s470,plain,
( ~ spl0_4
| ~ spl0_150
| ~ spl0_151
| ~ spl0_152 ),
inference(sat_conversion,[],[f1848]) ).
cnf(s477,plain,
( ~ spl0_8
| ~ spl0_150
| ~ spl0_152
| ~ spl0_175 ),
inference(sat_conversion,[],[f1855]) ).
cnf(s480,plain,
( ~ spl0_8
| ~ spl0_159
| ~ spl0_161
| ~ spl0_179 ),
inference(sat_conversion,[],[f1858]) ).
cnf(s482,plain,
( ~ spl0_9
| spl0_73
| ~ spl0_120
| ~ spl0_165 ),
inference(sat_conversion,[],[f1860]) ).
cnf(s493,plain,
( ~ spl0_49
| spl0_99
| ~ spl0_145
| spl0_167 ),
inference(sat_conversion,[],[f1871]) ).
cnf(s498,plain,
( ~ spl0_5
| spl0_99
| ~ spl0_145
| ~ spl0_167 ),
inference(sat_conversion,[],[f1876]) ).
cnf(s508,plain,
( ~ spl0_22
| spl0_87
| spl0_88
| spl0_166 ),
inference(sat_conversion,[],[f1895]) ).
cnf(s510,plain,
( ~ spl0_5
| spl0_89
| ~ spl0_137
| ~ spl0_183 ),
inference(sat_conversion,[],[f1904]) ).
cnf(s512,plain,
( ~ spl0_16
| spl0_89
| ~ spl0_136
| spl0_183 ),
inference(sat_conversion,[],[f1912]) ).
cnf(s513,plain,
( ~ spl0_7
| spl0_70
| spl0_72
| ~ spl0_163 ),
inference(sat_conversion,[],[f1913]) ).
cnf(s519,plain,
( ~ spl0_18
| spl0_94
| ~ spl0_141
| spl0_162 ),
inference(sat_conversion,[],[f1919]) ).
cnf(s520,plain,
( ~ spl0_18
| spl0_71
| spl0_72
| ~ spl0_163 ),
inference(sat_conversion,[],[f1920]) ).
cnf(s527,plain,
( ~ spl0_29
| ~ spl0_159
| ~ spl0_160
| spl0_179 ),
inference(sat_conversion,[],[f1927]) ).
cnf(s533,plain,
( ~ spl0_4
| ~ spl0_119
| ~ spl0_120
| ~ spl0_165 ),
inference(sat_conversion,[],[f1936]) ).
cnf(s536,plain,
( ~ spl0_7
| spl0_93
| spl0_94
| ~ spl0_141 ),
inference(sat_conversion,[],[f1955]) ).
cnf(s537,plain,
( ~ spl0_7
| spl0_98
| spl0_99
| ~ spl0_167 ),
inference(sat_conversion,[],[f1956]) ).
cnf(s539,plain,
( ~ spl0_8
| ~ spl0_142
| ~ spl0_143
| ~ spl0_172 ),
inference(sat_conversion,[],[f1967]) ).
cnf(s542,plain,
( ~ spl0_9
| spl0_84
| ~ spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f1988]) ).
cnf(s543,plain,
( ~ spl0_9
| ~ spl0_131
| ~ spl0_132
| spl0_177 ),
inference(sat_conversion,[],[f1989]) ).
cnf(s549,plain,
( ~ spl0_18
| spl0_66
| spl0_67
| ~ spl0_178 ),
inference(sat_conversion,[],[f2014]) ).
cnf(s550,plain,
( ~ spl0_18
| spl0_74
| spl0_75
| ~ spl0_121 ),
inference(sat_conversion,[],[f2016]) ).
cnf(s551,plain,
spl0_3,
inference(rat,[],[s172,s192,s198,s202]) ).
cnf(s552,plain,
( ~ spl0_36
| ~ spl0_18 ),
inference(rat,[],[s550,s80,s81,s124]) ).
cnf(s553,plain,
( spl0_10
| spl0_9
| spl0_5 ),
inference(rat,[],[s221,s88,s128,s129,s54,s552,s8,s334,s304,s4,s5,s284,s72,s73,s120,s25,s551]) ).
cnf(s555,plain,
( ~ spl0_43
| ~ spl0_16 ),
inference(rat,[],[s335,s96,s97,s141]) ).
cnf(s556,plain,
( ~ spl0_48
| ~ spl0_4 ),
inference(rat,[],[s470,s153,s154,s155]) ).
cnf(s557,plain,
( ~ spl0_7
| spl0_5
| spl0_6 ),
inference(rat,[],[s536,s99,s100,s144,s16,s351,s551]) ).
cnf(s558,plain,
( ~ spl0_30
| ~ spl0_49 ),
inference(rat,[],[s462,s102,s103,s147]) ).
cnf(s559,plain,
( spl0_23
| ~ spl0_34
| spl0_7
| spl0_48 ),
inference(rat,[],[s508,s392,s93,s94,s138,s11,s59,s551]) ).
cnf(s560,plain,
( spl0_5
| spl0_30
| spl0_48
| spl0_6
| spl0_2 ),
inference(rat,[],[s88,s221,s128,s129,s54,s552,s253,s559,s18,s22,s388,s3,s557,s551]) ).
cnf(s562,plain,
( ~ spl0_28
| ~ spl0_18
| ~ spl0_5 ),
inference(rat,[],[s205,s519,s100,s144]) ).
cnf(s565,plain,
( ~ spl0_32
| ~ spl0_17
| ~ spl0_8 ),
inference(rat,[],[s210,s136,s137]) ).
cnf(s566,plain,
( ~ spl0_35
| ~ spl0_17
| ~ spl0_5 ),
inference(rat,[],[s211,s285,s71,s118,s119]) ).
cnf(s567,plain,
( spl0_16
| ~ spl0_8
| ~ spl0_5
| spl0_6
| spl0_2 ),
inference(rat,[],[s233,s76,s77,s78,s171,s566,s565,s9,s7,s551]) ).
cnf(s568,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_13
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s304,s442,s72,s120,s45,s68,s243,s239,s520,s76,s77,s78,s171,s566,s565,s552,s551]) ).
cnf(s569,plain,
( ~ spl0_18
| ~ spl0_13
| ~ spl0_8
| spl0_7
| ~ spl0_5
| spl0_30
| spl0_6 ),
inference(rat,[],[s480,s527,s162,s163,s164,s32,s455,s539,s145,s146,s50,s568,s16,s562,s551]) ).
cnf(s570,plain,
( ~ spl0_8
| ~ spl0_11
| spl0_7
| spl0_30
| spl0_48
| spl0_6
| spl0_2 ),
inference(rat,[],[s510,s512,s95,s139,s140,s37,s347,s559,s253,s569,s30,s555,s567,s560,s551]) ).
cnf(s571,plain,
( ~ spl0_11
| spl0_7
| spl0_2
| spl0_30
| spl0_48
| spl0_6 ),
inference(rat,[],[s221,s88,s128,s129,s49,s570,s551]) ).
cnf(s572,plain,
( ~ spl0_33
| ~ spl0_5
| ~ spl0_49 ),
inference(rat,[],[s493,s498,s105,s148]) ).
cnf(s573,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s549,s442,s72,s73,s120,s45,s68,s243,s239,s520,s76,s77,s78,s171,s566,s565,s552,s551]) ).
cnf(s577,plain,
( ~ spl0_52
| ~ spl0_16
| ~ spl0_5 ),
inference(rat,[],[s510,s512,s95,s139,s140]) ).
cnf(s581,plain,
( ~ spl0_25
| ~ spl0_14
| ~ spl0_4 ),
inference(rat,[],[s440,s533,s79,s122,s123]) ).
cnf(s583,plain,
( ~ spl0_62
| ~ spl0_9 ),
inference(rat,[],[s542,s90,s132,s133]) ).
cnf(s584,plain,
( ~ spl0_41
| ~ spl0_20
| ~ spl0_7 ),
inference(rat,[],[s513,s239,s76,s77,s78]) ).
cnf(s585,plain,
( spl0_38
| spl0_34
| spl0_41
| spl0_15 ),
inference(rat,[],[s439,s74,s75,s121,s64,s583,s65,s24,s551]) ).
cnf(s586,plain,
( ~ spl0_38
| ~ spl0_11 ),
inference(rat,[],[s88,s221,s128,s129]) ).
cnf(s587,plain,
( ~ spl0_50
| ~ spl0_14 ),
inference(rat,[],[s439,s74,s75,s121]) ).
cnf(s588,plain,
( ~ spl0_18
| spl0_38
| ~ spl0_7
| ~ spl0_16
| ~ spl0_8
| ~ spl0_5
| spl0_30
| ~ spl0_4 ),
inference(rat,[],[s391,s92,s136,s137,s57,s583,s167,s587,s581,s585,s65,s584,s313,s45,s445,s539,s101,s145,s146,s50,s573,s552,s551]) ).
cnf(s589,plain,
( ~ spl0_8
| spl0_30
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s367,s93,s94,s138,s59,s253,s37,s588,s586,s577,s571,s18,s567,s388,s560,s556,s353,s551]) ).
cnf(s590,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s391,s92,s136,s137,s20,s19,s586,s49,s589,s572,s560,s558,s35,s556,s353,s1,s551]) ).
cnf(s591,plain,
( spl0_18
| ~ spl0_11
| spl0_52
| spl0_48 ),
inference(rat,[],[s367,s93,s94,s138,s59,s37,s253,s551]) ).
cnf(s592,plain,
( ~ spl0_18
| ~ spl0_16
| spl0_38
| ~ spl0_8
| ~ spl0_5
| spl0_30
| ~ spl0_4
| spl0_6 ),
inference(rat,[],[s569,s30,s588,s555,s551]) ).
cnf(s593,plain,
( ~ spl0_16
| spl0_38
| ~ spl0_8
| ~ spl0_5
| ~ spl0_4
| spl0_6
| spl0_1 ),
inference(rat,[],[s391,s92,s136,s137,s19,s347,s591,s37,s592,s577,s558,s35,s556,s551]) ).
cnf(s594,plain,
( ~ spl0_40
| ~ spl0_5 ),
inference(rat,[],[s380,s89,s130,s131]) ).
cnf(s595,plain,
( ~ spl0_17
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s63,s573,s566,s594,s551]) ).
cnf(s596,plain,
( spl0_11
| spl0_33
| spl0_1 ),
inference(rat,[],[s391,s92,s136,s137,s20,s19,s551]) ).
cnf(s597,plain,
( spl0_38
| ~ spl0_8
| spl0_1
| ~ spl0_5
| ~ spl0_4
| spl0_6 ),
inference(rat,[],[s7,s595,s593,s551]) ).
cnf(s598,plain,
( ~ spl0_5
| ~ spl0_4
| spl0_6
| spl0_1 ),
inference(rat,[],[s597,s49,s586,s596,s572,s35,s556,s551]) ).
cnf(s599,plain,
( ~ spl0_32
| ~ spl0_34 ),
inference(rat,[],[s391,s92,s136,s137]) ).
cnf(s600,plain,
( ~ spl0_4
| spl0_6
| spl0_1 ),
inference(rat,[],[s552,s54,s253,s586,s19,s599,s559,s22,s557,s598,s558,s35,s556,s551]) ).
cnf(s601,plain,
( ~ spl0_8
| spl0_6
| spl0_1 ),
inference(rat,[],[s4,s482,s437,s443,s477,s79,s122,s123,s153,s154,s155,s42,s35,s466,s224,s572,s104,s105,s148,s596,s260,s262,s149,s150,s13,s595,s590,s26,s594,s2,s600,s551]) ).
cnf(s602,plain,
( spl0_6
| spl0_1 ),
inference(rat,[],[s5,s409,s222,s327,s443,s286,s79,s122,s88,s128,s129,s14,s49,s601,s26,s594,s2,s600,s590,s551]) ).
cnf(s603,plain,
( ~ spl0_35
| ~ spl0_5
| ~ spl0_2 ),
inference(rat,[],[s287,s118,s119]) ).
cnf(s604,plain,
( spl0_48
| ~ spl0_5
| spl0_1 ),
inference(rat,[],[s455,s539,s145,s146,s50,s595,s49,s586,s596,s572,s558,s56,s35,s603,s590,s551]) ).
cnf(s605,plain,
( ~ spl0_8
| ~ spl0_5
| spl0_1 ),
inference(rat,[],[s543,s361,s134,s135,s60,s255,s599,s4,s19,s260,s262,s149,s150,s437,s13,s477,s595,s562,s63,s603,s590,s594,s155,s154,s153,s556,s604,s551]) ).
cnf(s606,plain,
( ~ spl0_5
| spl0_1 ),
inference(rat,[],[s339,s286,s88,s129,s49,s605,s63,s603,s594,s590,s551]) ).
cnf(s607,plain,
( ~ spl0_35
| ~ spl0_6 ),
inference(rat,[],[s356,s71,s118,s119]) ).
cnf(s608,plain,
( ~ spl0_8
| spl0_1 ),
inference(rat,[],[s587,s6,s64,s445,s539,s583,s101,s145,s146,s553,s28,s437,s347,s477,s155,s154,s153,s556,s35,s558,s22,s599,s55,s607,s602,s606,s551]) ).
cnf(s609,plain,
spl0_1,
inference(rat,[],[s553,s409,s482,s443,s6,s587,s36,s466,s537,s104,s105,s596,s79,s122,s123,s586,s14,s49,s3,s608,s556,s35,s558,s22,s599,s55,s607,s606,s602,s551]) ).
cnf(s610,plain,
( ~ spl0_120
| ~ spl0_119
| ~ spl0_4 ),
inference(rat,[],[s428,s533,s609]) ).
cnf(s611,plain,
( ~ spl0_25
| ~ spl0_4 ),
inference(rat,[],[s610,s122,s123]) ).
cnf(s613,plain,
( ~ spl0_28
| spl0_52
| ~ spl0_8
| spl0_48
| ~ spl0_5 ),
inference(rat,[],[s559,s347,s267,s37,s536,s205,s562,s99,s100,s144,s551]) ).
cnf(s614,plain,
( spl0_30
| ~ spl0_8
| ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s455,s539,s56,s145,s146,s603,s50,s589,s556,s595,s551]) ).
cnf(s615,plain,
( spl0_6
| spl0_29
| ~ spl0_8
| spl0_48
| ~ spl0_5 ),
inference(rat,[],[s613,s577,s16,s7,s595,s551]) ).
cnf(s616,plain,
( ~ spl0_39
| ~ spl0_15
| ~ spl0_18 ),
inference(rat,[],[s442,s549,s72,s73,s120]) ).
cnf(s617,plain,
( ~ spl0_41
| ~ spl0_20
| ~ spl0_18 ),
inference(rat,[],[s239,s520,s77,s78]) ).
cnf(s618,plain,
( ~ spl0_8
| ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s339,s286,s88,s129,s65,s617,s68,s616,s45,s300,s587,s51,s562,s552,s63,s607,s352,s615,s468,s558,s614,s42,s595,s594,s556,s611,s551,s609]) ).
cnf(s619,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s558,s18,s467,s384,s42,s285,s566,s71,s118,s119,s5,s63,s222,s327,s339,s368,s586,s88,s128,s129,s49,s618,s611,s594,s551]) ).
cnf(s620,plain,
( spl0_33
| spl0_11
| spl0_4 ),
inference(rat,[],[s599,s20,s47,s551]) ).
cnf(s621,plain,
( ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s4,s409,s482,s428,s79,s122,s123,s42,s466,s498,s104,s105,s148,s620,s260,s262,s149,s150,s13,s595,s619,s551,s609]) ).
cnf(s622,plain,
~ spl0_5,
inference(rat,[],[s409,s428,s79,s122,s123,s42,s566,s466,s498,s5,s63,s104,s105,s148,s222,s327,s339,s620,s368,s586,s88,s128,s129,s49,s621,s619,s594,s609,s551]) ).
cnf(s623,plain,
~ spl0_42,
inference(rat,[],[s429,s101,s145,s146,s609]) ).
cnf(s624,plain,
spl0_27,
inference(rat,[],[s28,s622,s551,s623]) ).
cnf(s625,plain,
~ spl0_26,
inference(rat,[],[s367,s93,s94,s138,s624]) ).
cnf(s626,plain,
spl0_32,
inference(rat,[],[s170,s623,s625]) ).
cnf(s630,plain,
~ spl0_34,
inference(rat,[],[s599,s626]) ).
cnf(s631,plain,
~ spl0_23,
inference(rat,[],[s434,s609,s630]) ).
cnf(s634,plain,
~ spl0_8,
inference(rat,[],[s347,s624,s630]) ).
cnf(s636,plain,
spl0_28,
inference(rat,[],[s29,s622,s551,s631]) ).
cnf(s641,plain,
spl0_7,
inference(rat,[],[s3,s622,s551,s634]) ).
cnf(s647,plain,
spl0_141,
inference(rat,[],[s144,s636]) ).
cnf(s648,plain,
~ spl0_94,
inference(rat,[],[s100,s636]) ).
cnf(s649,plain,
~ spl0_93,
inference(rat,[],[s99,s636]) ).
cnf(s652,plain,
$false,
inference(rat,[],[s536,s648,s647,s641,s649]) ).
fof(f2017,plain,
$false,
inference(avatar_sat_refutation,[],[s652]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN480-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 % Computer : n011.cluster.edu
% 0.07/0.21 % Model : x86_64 x86_64
% 0.07/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21 % Memory : 8046.5625MB
% 0.07/0.21 % OS : Linux 6.8.0-71-generic
% 0.07/0.21 % CPULimit : 300
% 0.07/0.21 % WCLimit : 300
% 0.07/0.21 % DateTime : Mon Sep 28 16:15:01 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.25 Running first-order theorem proving
% 0.07/0.25 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.90/1.13 % (3503355)Input is clausal, will run a generic CNF schedule.
% 2.90/1.13 % (3503360)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=1816732862:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.90/1.13 % (3503365)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=340996109:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.90/1.13 % (3503363)lrs+10_1_sil=8000:sp=occurrence:random_seed=4019101109:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.90/1.13 % (3503361)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2590783433:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.90/1.13 % (3503364)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4007223855:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.90/1.13 % (3503366)dis-21_1_sil=8000:lcm=predicate:random_seed=4220486136: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)
% 2.90/1.13 % (3503362)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=960732705:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.90/1.13 % (3503366)First to succeed.
% 2.90/1.13 % (3503366)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3503355"
% 2.90/1.13 % (3503364)Also succeeded, but the first one will report.
% 2.90/1.13 % (3503365)Also succeeded, but the first one will report.
% 2.90/1.13 % (3503363)Also succeeded, but the first one will report.
% 2.90/1.13 % (3503366)Refutation found. Thanks to Tanya!
% 2.90/1.13 % SZS status Unsatisfiable for theBenchmark
% 2.90/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 3.76/1.32 % (3503366)------------------------------
% 3.76/1.32 % (3503366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.32 % (3503366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.32 % (3503366)CaDiCaL version: 2.1.3
% 3.76/1.32 % (3503366)Termination reason: Refutation
% 3.76/1.32 % (3503366)Time elapsed: 0.029 s
% 3.76/1.32 % (3503366)Peak memory usage: 90 MB
% 3.76/1.32 % (3503366)Instructions burned: 44 (million)
% 3.76/1.32 % (3503366)------------------------------
% 3.76/1.32 % (3503366)------------------------------
% 3.76/1.32 % (3503355)Success in time 0.443 s
% 3.76/1.32 % Vampire exiting
%------------------------------------------------------------------------------