%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN502-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:58:56 PM UTC 2026
% Result : Unsatisfiable 3.07s 1.12s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 232
% Syntax : Number of formulae : 753 ( 16 unt; 124 def)
% Number of atoms : 2369 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2822 (1206 ~;1492 |; 0 &)
% ( 124 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 152 ( 151 usr; 148 prp; 0-1 aty)
% Number of functors : 22 ( 22 usr; 22 con; 0-0 aty)
% Number of variables : 131 ( 0 sgn 131 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f9,negated_conjecture,
( ~ hskp23
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f19,negated_conjecture,
( ~ hskp13
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f36,negated_conjecture,
( hskp8
| hskp7
| hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f37,negated_conjecture,
( hskp8
| hskp13
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f38,negated_conjecture,
( hskp8
| hskp13
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f41,negated_conjecture,
( hskp23
| hskp13
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f43,negated_conjecture,
( ~ hskp31
| c0_1(a246) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( ~ hskp31
| c2_1(a246) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( ~ hskp31
| c3_1(a246) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f49,negated_conjecture,
( ~ hskp29
| c1_1(a240) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( ~ hskp29
| c2_1(a240) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( ~ hskp29
| c3_1(a240) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f56,negated_conjecture,
( ~ hskp25
| c1_1(a294) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f57,negated_conjecture,
( ~ hskp25
| c2_1(a294) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( ~ hskp24
| c3_1(a282) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( ~ hskp23
| c1_1(a281) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( ~ hskp23
| c3_1(a281) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( ~ hskp22
| c0_1(a276) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( ~ hskp22
| c1_1(a276) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( ~ hskp21
| c0_1(a274) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( ~ hskp21
| c2_1(a274) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( ~ hskp20
| c0_1(a271) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( ~ hskp20
| c1_1(a271) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f69,negated_conjecture,
( ~ hskp18
| c1_1(a265) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( ~ hskp18
| c2_1(a265) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( ~ hskp16
| c1_1(a259) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( ~ hskp14
| c2_1(a257) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( ~ hskp14
| c3_1(a257) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( ~ hskp13
| c1_1(a253) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( ~ hskp12
| c0_1(a252) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( ~ hskp11
| c2_1(a251) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp10
| c0_1(a249) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( ~ hskp10
| c3_1(a249) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f80,negated_conjecture,
( ~ hskp8
| c0_1(a245) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( ~ hskp8
| c2_1(a245) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( ~ hskp7
| c0_1(a244) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f84,negated_conjecture,
( ~ hskp5
| c2_1(a241) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( ~ hskp5
| c3_1(a241) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( ~ hskp4
| c3_1(a239) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( ~ hskp3
| c0_1(a238) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f91,negated_conjecture,
( ~ c1_1(a322)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( ~ c2_1(a322)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ c3_1(a322)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f96,negated_conjecture,
( ~ c3_1(a294)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f97,negated_conjecture,
( ~ c0_1(a282)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ c2_1(a282)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ c2_1(a281)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ c3_1(a276)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ c3_1(a274)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ c2_1(a271)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f104,negated_conjecture,
( ~ c0_1(a265)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f108,negated_conjecture,
( ~ c2_1(a259)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ c3_1(a259)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ c0_1(a258)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ c2_1(a258)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ c3_1(a258)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ c1_1(a257)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ c0_1(a253)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ c3_1(a253)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ c1_1(a252)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ c3_1(a252)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ c1_1(a251)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ c3_1(a251)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ c2_1(a249)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f123,negated_conjecture,
( ~ c1_1(a245)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ c1_1(a244)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ c2_1(a244)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f128,negated_conjecture,
( ~ c0_1(a241)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ c1_1(a239)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ c2_1(a239)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
( ~ c2_1(a238)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ c3_1(a238)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f139,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| hskp29
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
fof(f143,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f146,negated_conjecture,
! [X0] :
( ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| hskp31
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f151,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| hskp16
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f153,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp22
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f155,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp31
| hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
fof(f157,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp8
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f160,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| hskp23
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f162,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp10
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
fof(f163,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp12
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f167,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f168,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp24
| hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f173,negated_conjecture,
! [X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f178,negated_conjecture,
! [X0,X1] :
( ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| c0_1(X0)
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X0)
| c2_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f182,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f183,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f185,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f186,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
fof(f187,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c0_1(X0)
| c0_1(X1)
| c3_1(X1)
| hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).
fof(f191,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X0)
| c1_1(X1)
| c3_1(X1)
| hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).
fof(f192,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| c3_1(X1)
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
fof(f194,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X0)
| c0_1(X1)
| hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).
fof(f195,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
fof(f196,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
fof(f197,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).
fof(f200,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).
fof(f201,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X0)
| c1_1(X1)
| c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).
fof(f202,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X2)
| c2_1(X0)
| c0_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).
fof(f203,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X2)
| c3_1(X0)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).
fof(f204,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).
fof(f205,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X2)
| c2_1(X0)
| c1_1(X1)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause205) ).
fof(f206,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X2)
| c2_1(X1)
| c2_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause206) ).
fof(f208,definition,
( spl0_1
<=> ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f209,plain,
( ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c2_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f211,definition,
( spl0_2
<=> ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f212,plain,
( ! [X1] :
( c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f214,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f217,definition,
( spl0_4
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f218,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f219,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f206,f217,f214,f211,f208]) ).
fof(f221,definition,
( spl0_5
<=> ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f222,plain,
( ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f224,definition,
( spl0_6
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f225,plain,
( ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f227,definition,
( spl0_7
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f228,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f229,plain,
( spl0_5
| spl0_6
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f205,f227,f214,f224,f221]) ).
fof(f231,definition,
( spl0_8
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f232,plain,
( ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c1_1(X2) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,definition,
( spl0_9
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f235,plain,
( ! [X1] :
( c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( spl0_8
| spl0_9
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f204,f217,f214,f234,f231]) ).
fof(f238,definition,
( spl0_10
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f239,plain,
( ! [X2] :
( c2_1(X2)
| ~ c3_1(X2)
| c1_1(X2) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f241,definition,
( spl0_11
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f242,plain,
( ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f244,definition,
( spl0_12
<=> ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f245,plain,
( ! [X0] :
( ~ c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f246,plain,
( spl0_10
| spl0_11
| ~ spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f203,f244,f214,f241,f238]) ).
fof(f248,definition,
( spl0_13
<=> ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f249,plain,
( ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ c1_1(X2) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f251,definition,
( spl0_14
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f252,plain,
( ! [X1] :
( c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( spl0_13
| spl0_14
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f202,f211,f214,f251,f248]) ).
fof(f255,definition,
( spl0_15
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f256,plain,
( ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,definition,
( spl0_16
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f259,plain,
( ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f260,plain,
( spl0_15
| spl0_16
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f201,f224,f214,f258,f255]) ).
fof(f262,definition,
( spl0_17
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f263,plain,
( ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c2_1(X2) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,definition,
( spl0_18
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f266,plain,
( ! [X1] :
( c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( spl0_17
| spl0_18
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f200,f227,f214,f265,f262]) ).
fof(f274,definition,
( spl0_20
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f277,definition,
( spl0_21
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f278,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f279,plain,
( spl0_20
| spl0_9
| ~ spl0_3
| spl0_21 ),
inference(avatar_split_clause,[],[f197,f277,f214,f234,f274]) ).
fof(f281,definition,
( spl0_22
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f284,definition,
( spl0_23
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f285,plain,
( ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f287,definition,
( spl0_24
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f288,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f289,plain,
( spl0_22
| spl0_23
| ~ spl0_3
| spl0_24 ),
inference(avatar_split_clause,[],[f196,f287,f214,f284,f281]) ).
fof(f291,definition,
( spl0_25
<=> hskp31 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f294,definition,
( spl0_26
<=> ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f295,plain,
( ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f296,plain,
( spl0_25
| spl0_26
| ~ spl0_3
| spl0_24 ),
inference(avatar_split_clause,[],[f195,f287,f214,f294,f291]) ).
fof(f298,definition,
( spl0_27
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f301,definition,
( spl0_28
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f302,plain,
( ! [X1] :
( c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f304,definition,
( spl0_29
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f305,plain,
( ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f306,plain,
( spl0_27
| spl0_28
| ~ spl0_3
| spl0_29 ),
inference(avatar_split_clause,[],[f194,f304,f214,f301,f298]) ).
fof(f309,definition,
( spl0_30
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f312,definition,
( spl0_31
<=> ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f313,plain,
( ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f314,plain,
( spl0_30
| spl0_31
| ~ spl0_3
| spl0_29 ),
inference(avatar_split_clause,[],[f192,f304,f214,f312,f309]) ).
fof(f316,definition,
( spl0_32
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f318,plain,
( spl0_32
| spl0_31
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f191,f224,f214,f312,f316]) ).
fof(f321,definition,
( spl0_33
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f325,definition,
( spl0_34
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f332,definition,
( spl0_36
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f334,plain,
( spl0_36
| spl0_14
| ~ spl0_3
| spl0_26 ),
inference(avatar_split_clause,[],[f187,f294,f214,f251,f332]) ).
fof(f336,definition,
( spl0_37
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f338,plain,
( spl0_37
| spl0_18
| ~ spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f186,f244,f214,f265,f336]) ).
fof(f340,definition,
( spl0_38
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f342,plain,
( spl0_38
| spl0_13
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f185,f224,f214,f248,f340]) ).
fof(f344,definition,
( spl0_39
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f350,plain,
( spl0_34
| spl0_8
| ~ spl0_3
| spl0_21 ),
inference(avatar_split_clause,[],[f183,f277,f214,f231,f325]) ).
fof(f352,definition,
( spl0_41
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f354,plain,
( spl0_41
| spl0_8
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f182,f217,f214,f231,f352]) ).
fof(f359,plain,
( spl0_36
| spl0_10
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f180,f241,f214,f238,f332]) ).
fof(f361,definition,
( spl0_43
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f363,plain,
( spl0_43
| spl0_16
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f179,f238,f214,f258,f361]) ).
fof(f365,definition,
( spl0_44
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f367,plain,
( spl0_44
| spl0_15
| spl0_9
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f178,f214,f234,f255,f365]) ).
fof(f369,definition,
( spl0_45
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f380,plain,
( spl0_27
| spl0_15
| ~ spl0_3
| spl0_31 ),
inference(avatar_split_clause,[],[f174,f312,f214,f255,f298]) ).
fof(f381,plain,
( spl0_20
| spl0_17
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f173,f265,f214,f262,f274]) ).
fof(f399,definition,
( spl0_52
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f402,definition,
( spl0_53
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f404,plain,
( spl0_52
| spl0_53
| ~ spl0_3
| spl0_21 ),
inference(avatar_split_clause,[],[f168,f277,f214,f402,f399]) ).
fof(f405,plain,
( spl0_34
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f167,f217,f214,f325]) ).
fof(f416,definition,
( spl0_56
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f418,plain,
( spl0_41
| spl0_56
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f163,f224,f214,f416,f352]) ).
fof(f419,plain,
( spl0_30
| spl0_36
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f162,f224,f214,f332,f309]) ).
fof(f422,definition,
( spl0_57
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f424,plain,
( spl0_53
| spl0_57
| ~ spl0_3
| spl0_26 ),
inference(avatar_split_clause,[],[f160,f294,f214,f422,f402]) ).
fof(f430,definition,
( spl0_59
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f434,definition,
( spl0_60
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f436,plain,
( spl0_60
| spl0_39
| ~ spl0_3
| spl0_28 ),
inference(avatar_split_clause,[],[f157,f301,f214,f344,f434]) ).
fof(f438,plain,
( spl0_34
| spl0_25
| ~ spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f155,f241,f214,f291,f325]) ).
fof(f440,plain,
( spl0_22
| spl0_59
| ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f153,f208,f214,f430,f281]) ).
fof(f445,plain,
( spl0_20
| spl0_37
| ~ spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f151,f258,f214,f336,f274]) ).
fof(f453,plain,
( spl0_45
| spl0_25
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f146,f265,f214,f291,f369]) ).
fof(f459,plain,
( spl0_33
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f143,f221,f214,f321]) ).
fof(f463,plain,
( spl0_30
| spl0_33
| spl0_8
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f139,f214,f231,f321,f309]) ).
fof(f493,definition,
( spl0_70
<=> c3_1(a238) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f495,plain,
( ~ spl0_41
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f132,f493,f352]) ).
fof(f497,definition,
( spl0_71
<=> c2_1(a238) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f498,plain,
( ~ c2_1(a238)
| spl0_71 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f499,plain,
( ~ spl0_41
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f131,f497,f352]) ).
fof(f502,definition,
( spl0_72
<=> c2_1(a239) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f503,plain,
( ~ c2_1(a239)
| spl0_72 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f504,plain,
( ~ spl0_34
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f130,f502,f325]) ).
fof(f506,definition,
( spl0_73
<=> c1_1(a239) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f508,plain,
( ~ spl0_34
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f129,f506,f325]) ).
fof(f511,definition,
( spl0_74
<=> c0_1(a241) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f512,plain,
( ~ c0_1(a241)
| spl0_74 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f513,plain,
( ~ spl0_30
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f128,f511,f309]) ).
fof(f525,definition,
( spl0_77
<=> c2_1(a244) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f526,plain,
( ~ c2_1(a244)
| spl0_77 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f527,plain,
( ~ spl0_22
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f125,f525,f281]) ).
fof(f529,definition,
( spl0_78
<=> c1_1(a244) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f531,plain,
( ~ spl0_22
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f124,f529,f281]) ).
fof(f534,definition,
( spl0_79
<=> c1_1(a245) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f536,plain,
( ~ spl0_39
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f123,f534,f344]) ).
fof(f548,definition,
( spl0_82
<=> c2_1(a249) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f549,plain,
( ~ c2_1(a249)
| spl0_82 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f550,plain,
( ~ spl0_36
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f120,f548,f332]) ).
fof(f553,definition,
( spl0_83
<=> c3_1(a251) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f555,plain,
( ~ spl0_20
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f119,f553,f274]) ).
fof(f557,definition,
( spl0_84
<=> c1_1(a251) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f559,plain,
( ~ spl0_20
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f118,f557,f274]) ).
fof(f562,definition,
( spl0_85
<=> c3_1(a252) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f564,plain,
( ~ spl0_56
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f117,f562,f416]) ).
fof(f566,definition,
( spl0_86
<=> c1_1(a252) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f568,plain,
( ~ spl0_56
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f116,f566,f416]) ).
fof(f571,definition,
( spl0_87
<=> c3_1(a253) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f573,plain,
( ~ spl0_60
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f115,f571,f434]) ).
fof(f575,definition,
( spl0_88
<=> c0_1(a253) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f576,plain,
( ~ c0_1(a253)
| spl0_88 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f577,plain,
( ~ spl0_60
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f114,f575,f434]) ).
fof(f580,definition,
( spl0_89
<=> c1_1(a257) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f582,plain,
( ~ spl0_45
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f113,f580,f369]) ).
fof(f585,definition,
( spl0_90
<=> c3_1(a258) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f587,plain,
( ~ spl0_38
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f112,f585,f340]) ).
fof(f589,definition,
( spl0_91
<=> c2_1(a258) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f590,plain,
( ~ c2_1(a258)
| spl0_91 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f591,plain,
( ~ spl0_38
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f111,f589,f340]) ).
fof(f593,definition,
( spl0_92
<=> c0_1(a258) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f594,plain,
( ~ c0_1(a258)
| spl0_92 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f595,plain,
( ~ spl0_38
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f110,f593,f340]) ).
fof(f598,definition,
( spl0_93
<=> c3_1(a259) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f600,plain,
( ~ spl0_37
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f109,f598,f336]) ).
fof(f602,definition,
( spl0_94
<=> c2_1(a259) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f603,plain,
( ~ c2_1(a259)
| spl0_94 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f604,plain,
( ~ spl0_37
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f108,f602,f336]) ).
fof(f620,definition,
( spl0_98
<=> c0_1(a265) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f621,plain,
( ~ c0_1(a265)
| spl0_98 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f622,plain,
( ~ spl0_43
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f104,f620,f361]) ).
fof(f630,definition,
( spl0_100
<=> c2_1(a271) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f632,plain,
( ~ spl0_27
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f102,f630,f298]) ).
fof(f635,definition,
( spl0_101
<=> c3_1(a274) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f637,plain,
( ~ spl0_44
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f101,f635,f365]) ).
fof(f640,definition,
( spl0_102
<=> c3_1(a276) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f642,plain,
( ~ spl0_59
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f100,f640,f430]) ).
fof(f645,definition,
( spl0_103
<=> c2_1(a281) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f646,plain,
( ~ c2_1(a281)
| spl0_103 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f647,plain,
( ~ spl0_57
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f99,f645,f422]) ).
fof(f650,definition,
( spl0_104
<=> c2_1(a282) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f651,plain,
( ~ c2_1(a282)
| spl0_104 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f652,plain,
( ~ spl0_53
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f98,f650,f402]) ).
fof(f654,definition,
( spl0_105
<=> c0_1(a282) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f655,plain,
( ~ c0_1(a282)
| spl0_105 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f656,plain,
( ~ spl0_53
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f97,f654,f402]) ).
fof(f659,definition,
( spl0_106
<=> c3_1(a294) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f661,plain,
( ~ spl0_32
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f96,f659,f316]) ).
fof(f673,definition,
( spl0_109
<=> c3_1(a322) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f675,plain,
( ~ spl0_52
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f93,f673,f399]) ).
fof(f677,definition,
( spl0_110
<=> c2_1(a322) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f678,plain,
( ~ c2_1(a322)
| spl0_110 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f679,plain,
( ~ spl0_52
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f92,f677,f399]) ).
fof(f681,definition,
( spl0_111
<=> c1_1(a322) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f683,plain,
( ~ spl0_52
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f91,f681,f399]) ).
fof(f697,definition,
( spl0_115
<=> c0_1(a238) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f698,plain,
( c0_1(a238)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f699,plain,
( spl0_115
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f87,f352,f697]) ).
fof(f701,definition,
( spl0_116
<=> c3_1(a239) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f703,plain,
( spl0_116
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f86,f325,f701]) ).
fof(f705,definition,
( spl0_117
<=> c3_1(a241) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f707,plain,
( spl0_117
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f85,f309,f705]) ).
fof(f709,definition,
( spl0_118
<=> c2_1(a241) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f711,plain,
( spl0_118
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f84,f309,f709]) ).
fof(f717,definition,
( spl0_120
<=> c0_1(a244) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f718,plain,
( c0_1(a244)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f719,plain,
( spl0_120
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f82,f281,f717]) ).
fof(f721,definition,
( spl0_121
<=> c2_1(a245) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f723,plain,
( spl0_121
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f81,f344,f721]) ).
fof(f725,definition,
( spl0_122
<=> c0_1(a245) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f726,plain,
( c0_1(a245)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f727,plain,
( spl0_122
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f80,f344,f725]) ).
fof(f733,definition,
( spl0_124
<=> c3_1(a249) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f735,plain,
( spl0_124
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f78,f332,f733]) ).
fof(f737,definition,
( spl0_125
<=> c0_1(a249) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f738,plain,
( c0_1(a249)
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f739,plain,
( spl0_125
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f77,f332,f737]) ).
fof(f741,definition,
( spl0_126
<=> c2_1(a251) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f742,plain,
( c2_1(a251)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f743,plain,
( spl0_126
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f76,f274,f741]) ).
fof(f745,definition,
( spl0_127
<=> c0_1(a252) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f746,plain,
( c0_1(a252)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f747,plain,
( spl0_127
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f75,f416,f745]) ).
fof(f749,definition,
( spl0_128
<=> c1_1(a253) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f751,plain,
( spl0_128
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f74,f434,f749]) ).
fof(f753,definition,
( spl0_129
<=> c3_1(a257) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f755,plain,
( spl0_129
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f73,f369,f753]) ).
fof(f757,definition,
( spl0_130
<=> c2_1(a257) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f758,plain,
( c2_1(a257)
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f759,plain,
( spl0_130
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f72,f369,f757]) ).
fof(f761,definition,
( spl0_131
<=> c1_1(a259) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f763,plain,
( spl0_131
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f71,f336,f761]) ).
fof(f765,definition,
( spl0_132
<=> c2_1(a265) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f766,plain,
( c2_1(a265)
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f767,plain,
( spl0_132
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f70,f361,f765]) ).
fof(f769,definition,
( spl0_133
<=> c1_1(a265) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f771,plain,
( spl0_133
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f69,f361,f769]) ).
fof(f781,definition,
( spl0_136
<=> c1_1(a271) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f783,plain,
( spl0_136
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f66,f298,f781]) ).
fof(f785,definition,
( spl0_137
<=> c0_1(a271) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f786,plain,
( c0_1(a271)
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f787,plain,
( spl0_137
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f65,f298,f785]) ).
fof(f789,definition,
( spl0_138
<=> c2_1(a274) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f791,plain,
( spl0_138
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f64,f365,f789]) ).
fof(f793,definition,
( spl0_139
<=> c0_1(a274) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f794,plain,
( c0_1(a274)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f795,plain,
( spl0_139
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f63,f365,f793]) ).
fof(f797,definition,
( spl0_140
<=> c1_1(a276) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f799,plain,
( spl0_140
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f62,f430,f797]) ).
fof(f801,definition,
( spl0_141
<=> c0_1(a276) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f802,plain,
( c0_1(a276)
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f803,plain,
( spl0_141
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f61,f430,f801]) ).
fof(f805,definition,
( spl0_142
<=> c3_1(a281) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f807,plain,
( spl0_142
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f60,f422,f805]) ).
fof(f809,definition,
( spl0_143
<=> c1_1(a281) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f811,plain,
( spl0_143
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f59,f422,f809]) ).
fof(f813,definition,
( spl0_144
<=> c3_1(a282) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f815,plain,
( spl0_144
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f58,f402,f813]) ).
fof(f817,definition,
( spl0_145
<=> c2_1(a294) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f818,plain,
( c2_1(a294)
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f819,plain,
( spl0_145
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f57,f316,f817]) ).
fof(f821,definition,
( spl0_146
<=> c1_1(a294) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f823,plain,
( spl0_146
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f56,f316,f821]) ).
fof(f842,definition,
( spl0_151
<=> c3_1(a240) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f845,plain,
( spl0_151
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f51,f321,f842]) ).
fof(f847,definition,
( spl0_152
<=> c2_1(a240) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f848,plain,
( c2_1(a240)
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f849,plain,
( spl0_152
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f50,f321,f847]) ).
fof(f851,definition,
( spl0_153
<=> c1_1(a240) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f853,plain,
( spl0_153
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f49,f321,f851]) ).
fof(f868,definition,
( spl0_157
<=> c3_1(a246) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f871,plain,
( spl0_157
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f45,f291,f868]) ).
fof(f873,definition,
( spl0_158
<=> c2_1(a246) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f874,plain,
( c2_1(a246)
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f875,plain,
( spl0_158
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f44,f291,f873]) ).
fof(f877,definition,
( spl0_159
<=> c0_1(a246) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f878,plain,
( c0_1(a246)
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f879,plain,
( spl0_159
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f43,f291,f877]) ).
fof(f881,plain,
( spl0_53
| spl0_60
| spl0_57 ),
inference(avatar_split_clause,[],[f41,f422,f434,f402]) ).
fof(f884,plain,
( spl0_53
| spl0_60
| spl0_39 ),
inference(avatar_split_clause,[],[f38,f344,f434,f402]) ).
fof(f885,plain,
( spl0_20
| spl0_60
| spl0_39 ),
inference(avatar_split_clause,[],[f37,f344,f434,f274]) ).
fof(f886,plain,
( spl0_38
| spl0_22
| spl0_39 ),
inference(avatar_split_clause,[],[f36,f344,f281,f340]) ).
fof(f904,plain,
( spl0_3
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f19,f434,f214]) ).
fof(f914,plain,
( spl0_3
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f9,f422,f214]) ).
fof(f915,plain,
( spl0_3
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f8,f402,f214]) ).
fof(f926,plain,
( c3_1(a245)
| c1_1(a245)
| ~ spl0_5
| ~ spl0_122 ),
inference(resolution,[],[f222,f726]) ).
fof(f929,definition,
( spl0_160
<=> c3_1(a245) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f931,plain,
( spl0_79
| spl0_160
| ~ spl0_5
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f926,f725,f221,f929,f534]) ).
fof(f934,definition,
( spl0_161
<=> c3_1(a244) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f943,plain,
( c1_1(a244)
| ~ c3_1(a244)
| ~ spl0_6
| ~ spl0_120 ),
inference(resolution,[],[f225,f718]) ).
fof(f944,plain,
( c1_1(a245)
| ~ c3_1(a245)
| ~ spl0_6
| ~ spl0_122 ),
inference(resolution,[],[f225,f726]) ).
fof(f946,plain,
( ~ spl0_160
| spl0_79
| ~ spl0_6
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f944,f725,f224,f534,f929]) ).
fof(f947,plain,
( ~ spl0_161
| spl0_78
| ~ spl0_6
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f943,f717,f224,f529,f934]) ).
fof(f970,plain,
( c3_1(a258)
| ~ c1_1(a258)
| ~ spl0_11
| spl0_91 ),
inference(resolution,[],[f242,f590]) ).
fof(f972,definition,
( spl0_163
<=> c1_1(a258) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f975,plain,
( ~ spl0_163
| spl0_90
| ~ spl0_11
| spl0_91 ),
inference(avatar_split_clause,[],[f970,f589,f241,f585,f972]) ).
fof(f987,plain,
( c3_1(a253)
| ~ c1_1(a253)
| ~ spl0_14
| spl0_88 ),
inference(resolution,[],[f252,f576]) ).
fof(f990,plain,
( c3_1(a258)
| ~ c1_1(a258)
| ~ spl0_14
| spl0_92 ),
inference(resolution,[],[f252,f594]) ).
fof(f993,plain,
( ~ spl0_163
| spl0_90
| ~ spl0_14
| spl0_92 ),
inference(avatar_split_clause,[],[f990,f593,f251,f585,f972]) ).
fof(f999,plain,
( ~ c3_1(a282)
| c1_1(a282)
| ~ spl0_10
| spl0_104 ),
inference(resolution,[],[f651,f239]) ).
fof(f1001,definition,
( spl0_164
<=> c1_1(a282) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1004,plain,
( spl0_164
| ~ spl0_144
| ~ spl0_10
| spl0_104 ),
inference(avatar_split_clause,[],[f999,f650,f238,f813,f1001]) ).
fof(f1009,plain,
( c3_1(a258)
| c1_1(a258)
| ~ spl0_15
| spl0_91 ),
inference(resolution,[],[f256,f590]) ).
fof(f1034,plain,
( c3_1(a258)
| c2_1(a258)
| ~ spl0_17
| spl0_92 ),
inference(resolution,[],[f263,f594]) ).
fof(f1054,plain,
( ! [X0] :
( c2_1(X0)
| c1_1(X0)
| c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f232,f225]) ).
fof(f1055,plain,
( ! [X0] :
( c2_1(X0)
| c1_1(X0)
| c3_1(X0)
| c1_1(X0) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f232,f222]) ).
fof(f1062,plain,
( c2_1(a258)
| c1_1(a258)
| ~ spl0_8
| spl0_92 ),
inference(resolution,[],[f232,f594]) ).
fof(f1063,plain,
( ! [X0] :
( c2_1(X0)
| c1_1(X0)
| c3_1(X0) )
| ~ spl0_5
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f1055]) ).
fof(f1064,plain,
( ! [X0] :
( c2_1(X0)
| c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_6
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f1054]) ).
fof(f1065,plain,
( spl0_163
| spl0_91
| ~ spl0_8
| spl0_92 ),
inference(avatar_split_clause,[],[f1062,f593,f231,f589,f972]) ).
fof(f1074,plain,
( spl0_15
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1063,f231,f221,f255]) ).
fof(f1076,plain,
( spl0_91
| spl0_90
| ~ spl0_17
| spl0_92 ),
inference(avatar_split_clause,[],[f1034,f593,f262,f585,f589]) ).
fof(f1081,definition,
( spl0_169
<=> c1_1(a238) ),
introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).
fof(f1128,plain,
( ! [X0] :
( c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_4
| ~ spl0_13 ),
inference(resolution,[],[f249,f218]) ).
fof(f1136,plain,
( ! [X0] :
( c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_4
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f1128]) ).
fof(f1146,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1136,f248,f217,f211]) ).
fof(f1151,plain,
( c2_1(a238)
| c1_1(a238)
| ~ spl0_16
| ~ spl0_115 ),
inference(resolution,[],[f259,f698]) ).
fof(f1153,plain,
( spl0_169
| spl0_71
| ~ spl0_16
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1151,f697,f258,f497,f1081]) ).
fof(f1155,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_6
| ~ spl0_18 ),
inference(resolution,[],[f266,f225]) ).
fof(f1157,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_4
| ~ spl0_18 ),
inference(resolution,[],[f266,f218]) ).
fof(f1165,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_4
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f1157]) ).
fof(f1166,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| c1_1(X0) )
| ~ spl0_6
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f1155]) ).
fof(f1173,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1165,f265,f217,f211]) ).
fof(f1174,plain,
( spl0_10
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1166,f265,f224,f238]) ).
fof(f1182,plain,
( c3_1(a259)
| ~ c1_1(a259)
| ~ spl0_11
| spl0_94 ),
inference(resolution,[],[f603,f242]) ).
fof(f1185,plain,
( ~ spl0_131
| spl0_93
| ~ spl0_11
| spl0_94 ),
inference(avatar_split_clause,[],[f1182,f602,f241,f598,f761]) ).
fof(f1197,definition,
( spl0_172
<=> c1_1(a246) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f1208,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_7
| ~ spl0_9 ),
inference(resolution,[],[f235,f228]) ).
fof(f1223,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) )
| ~ spl0_7
| ~ spl0_9 ),
inference(duplicate_literal_removal,[],[f1208]) ).
fof(f1226,plain,
( spl0_2
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1223,f234,f227,f211]) ).
fof(f1229,plain,
( spl0_163
| spl0_90
| ~ spl0_15
| spl0_91 ),
inference(avatar_split_clause,[],[f1009,f589,f255,f585,f972]) ).
fof(f1231,plain,
( c2_1(a249)
| c1_1(a249)
| ~ spl0_16
| ~ spl0_125 ),
inference(resolution,[],[f738,f259]) ).
fof(f1232,plain,
( c1_1(a249)
| ~ c3_1(a249)
| ~ spl0_6
| ~ spl0_125 ),
inference(resolution,[],[f738,f225]) ).
fof(f1236,definition,
( spl0_173
<=> c1_1(a249) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
fof(f1241,plain,
( ~ spl0_124
| spl0_173
| ~ spl0_6
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1232,f737,f224,f1236,f733]) ).
fof(f1243,plain,
( spl0_173
| spl0_82
| ~ spl0_16
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1231,f737,f258,f548,f1236]) ).
fof(f1252,definition,
( spl0_174
<=> c3_1(a271) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
fof(f1269,plain,
( ~ c3_1(a249)
| c1_1(a249)
| ~ spl0_10
| spl0_82 ),
inference(resolution,[],[f239,f549]) ).
fof(f1270,plain,
( ~ c3_1(a239)
| c1_1(a239)
| ~ spl0_10
| spl0_72 ),
inference(resolution,[],[f239,f503]) ).
fof(f1279,plain,
( spl0_73
| ~ spl0_116
| ~ spl0_10
| spl0_72 ),
inference(avatar_split_clause,[],[f1270,f502,f238,f701,f506]) ).
fof(f1280,plain,
( spl0_173
| ~ spl0_124
| ~ spl0_10
| spl0_82 ),
inference(avatar_split_clause,[],[f1269,f548,f238,f733,f1236]) ).
fof(f1316,plain,
( c2_1(a282)
| ~ c3_1(a282)
| ~ spl0_18
| spl0_105 ),
inference(resolution,[],[f266,f655]) ).
fof(f1330,plain,
( ~ spl0_144
| spl0_104
| ~ spl0_18
| spl0_105 ),
inference(avatar_split_clause,[],[f1316,f654,f265,f650,f813]) ).
fof(f1350,plain,
( c3_1(a322)
| c1_1(a322)
| ~ spl0_15
| spl0_110 ),
inference(resolution,[],[f678,f256]) ).
fof(f1364,plain,
( c2_1(a282)
| c1_1(a282)
| ~ spl0_8
| spl0_105 ),
inference(resolution,[],[f232,f655]) ).
fof(f1377,plain,
( spl0_164
| spl0_104
| ~ spl0_8
| spl0_105 ),
inference(avatar_split_clause,[],[f1364,f654,f231,f650,f1001]) ).
fof(f1393,plain,
( c1_1(a246)
| ~ c3_1(a246)
| ~ spl0_23
| ~ spl0_158 ),
inference(resolution,[],[f285,f874]) ).
fof(f1394,plain,
( c1_1(a257)
| ~ c3_1(a257)
| ~ spl0_23
| ~ spl0_130 ),
inference(resolution,[],[f285,f758]) ).
fof(f1404,plain,
( ~ spl0_129
| spl0_89
| ~ spl0_23
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1394,f757,f284,f580,f753]) ).
fof(f1405,plain,
( ~ spl0_157
| spl0_172
| ~ spl0_23
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f1393,f873,f284,f1197,f868]) ).
fof(f1422,definition,
( spl0_175
<=> c2_1(a276) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
fof(f1432,plain,
( ~ c3_1(a244)
| c1_1(a244)
| ~ spl0_10
| spl0_77 ),
inference(resolution,[],[f526,f239]) ).
fof(f1434,plain,
( spl0_78
| ~ spl0_161
| ~ spl0_10
| spl0_77 ),
inference(avatar_split_clause,[],[f1432,f525,f238,f934,f529]) ).
fof(f1435,plain,
( c2_1(a244)
| c1_1(a244)
| ~ spl0_16
| ~ spl0_120 ),
inference(resolution,[],[f718,f259]) ).
fof(f1438,plain,
( spl0_78
| spl0_77
| ~ spl0_16
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1435,f717,f258,f525,f529]) ).
fof(f1446,definition,
( spl0_176
<=> c2_1(a252) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
fof(f1454,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f228,f232]) ).
fof(f1460,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| c1_1(X0) )
| ~ spl0_7
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f1454]) ).
fof(f1464,plain,
( c2_1(a276)
| ~ c1_1(a276)
| ~ spl0_24
| ~ spl0_141 ),
inference(resolution,[],[f288,f802]) ).
fof(f1466,plain,
( c2_1(a271)
| ~ c1_1(a271)
| ~ spl0_24
| ~ spl0_137 ),
inference(resolution,[],[f288,f786]) ).
fof(f1469,plain,
( ~ spl0_136
| spl0_100
| ~ spl0_24
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1466,f785,f287,f630,f781]) ).
fof(f1470,plain,
( ~ spl0_140
| spl0_175
| ~ spl0_24
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f1464,f801,f287,f1422,f797]) ).
fof(f1475,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_4
| ~ spl0_26 ),
inference(resolution,[],[f295,f218]) ).
fof(f1479,plain,
( ~ c2_1(a241)
| ~ c3_1(a241)
| ~ spl0_26
| spl0_74 ),
inference(resolution,[],[f295,f512]) ).
fof(f1484,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_4
| ~ spl0_26 ),
inference(duplicate_literal_removal,[],[f1475]) ).
fof(f1490,plain,
( ~ spl0_117
| ~ spl0_118
| ~ spl0_26
| spl0_74 ),
inference(avatar_split_clause,[],[f1479,f511,f294,f709,f705]) ).
fof(f1494,plain,
( spl0_21
| ~ spl0_4
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1484,f294,f217,f277]) ).
fof(f1497,plain,
( ~ spl0_128
| spl0_87
| ~ spl0_14
| spl0_88 ),
inference(avatar_split_clause,[],[f987,f575,f251,f571,f749]) ).
fof(f1539,plain,
( c1_1(a246)
| ~ c3_1(a246)
| ~ spl0_6
| ~ spl0_159 ),
inference(resolution,[],[f225,f878]) ).
fof(f1549,plain,
( ~ spl0_157
| spl0_172
| ~ spl0_6
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f1539,f877,f224,f1197,f868]) ).
fof(f1553,plain,
( c3_1(a238)
| ~ c1_1(a238)
| ~ spl0_11
| spl0_71 ),
inference(resolution,[],[f242,f498]) ).
fof(f1559,plain,
( ~ spl0_169
| spl0_70
| ~ spl0_11
| spl0_71 ),
inference(avatar_split_clause,[],[f1553,f497,f241,f493,f1081]) ).
fof(f1579,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_4
| ~ spl0_28 ),
inference(resolution,[],[f302,f218]) ).
fof(f1587,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_4
| ~ spl0_28 ),
inference(duplicate_literal_removal,[],[f1579]) ).
fof(f1593,plain,
( spl0_21
| ~ spl0_4
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1587,f301,f217,f277]) ).
fof(f1597,plain,
( c3_1(a276)
| ~ c2_1(a276)
| ~ spl0_29
| ~ spl0_141 ),
inference(resolution,[],[f305,f802]) ).
fof(f1598,plain,
( c3_1(a274)
| ~ c2_1(a274)
| ~ spl0_29
| ~ spl0_139 ),
inference(resolution,[],[f305,f794]) ).
fof(f1601,plain,
( c3_1(a252)
| ~ c2_1(a252)
| ~ spl0_29
| ~ spl0_127 ),
inference(resolution,[],[f305,f746]) ).
fof(f1602,plain,
( c3_1(a245)
| ~ c2_1(a245)
| ~ spl0_29
| ~ spl0_122 ),
inference(resolution,[],[f305,f726]) ).
fof(f1607,plain,
( ~ spl0_176
| spl0_85
| ~ spl0_29
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1601,f745,f304,f562,f1446]) ).
fof(f1613,plain,
( ~ spl0_138
| spl0_101
| ~ spl0_29
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1598,f793,f304,f635,f789]) ).
fof(f1616,plain,
( ~ spl0_175
| spl0_102
| ~ spl0_29
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f1597,f801,f304,f640,f1422]) ).
fof(f1621,plain,
( spl0_10
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1460,f231,f227,f238]) ).
fof(f1622,plain,
( spl0_10
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1064,f231,f224,f238]) ).
fof(f1631,plain,
( c3_1(a265)
| ~ c1_1(a265)
| ~ spl0_14
| spl0_98 ),
inference(resolution,[],[f621,f252]) ).
fof(f1634,definition,
( spl0_179
<=> c3_1(a265) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
fof(f1636,plain,
( ~ spl0_133
| spl0_179
| ~ spl0_14
| spl0_98 ),
inference(avatar_split_clause,[],[f1631,f620,f251,f1634,f769]) ).
fof(f1644,plain,
( c2_1(a238)
| ~ c1_1(a238)
| ~ spl0_24
| ~ spl0_115 ),
inference(resolution,[],[f698,f288]) ).
fof(f1645,plain,
( ~ spl0_169
| spl0_71
| ~ spl0_24
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1644,f697,f287,f497,f1081]) ).
fof(f1646,plain,
( c3_1(a265)
| ~ c1_1(a265)
| ~ spl0_12
| ~ spl0_132 ),
inference(resolution,[],[f766,f245]) ).
fof(f1647,plain,
( ~ spl0_133
| spl0_179
| ~ spl0_12
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1646,f765,f244,f1634,f769]) ).
fof(f1663,plain,
( c3_1(a271)
| c2_1(a271)
| ~ spl0_1
| ~ spl0_137 ),
inference(resolution,[],[f209,f786]) ).
fof(f1665,plain,
( c3_1(a252)
| c2_1(a252)
| ~ spl0_1
| ~ spl0_127 ),
inference(resolution,[],[f209,f746]) ).
fof(f1667,plain,
( c3_1(a238)
| c2_1(a238)
| ~ spl0_1
| ~ spl0_115 ),
inference(resolution,[],[f209,f698]) ).
fof(f1669,plain,
( spl0_71
| spl0_70
| ~ spl0_1
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1667,f697,f208,f493,f497]) ).
fof(f1670,plain,
( spl0_176
| spl0_85
| ~ spl0_1
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1665,f745,f208,f562,f1446]) ).
fof(f1672,plain,
( spl0_100
| spl0_174
| ~ spl0_1
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1663,f785,f208,f1252,f630]) ).
fof(f1683,plain,
( ~ c1_1(a282)
| ~ c3_1(a282)
| ~ spl0_2
| spl0_104 ),
inference(resolution,[],[f212,f651]) ).
fof(f1684,plain,
( ~ c1_1(a281)
| ~ c3_1(a281)
| ~ spl0_2
| spl0_103 ),
inference(resolution,[],[f212,f646]) ).
fof(f1692,plain,
( ~ spl0_142
| ~ spl0_143
| ~ spl0_2
| spl0_103 ),
inference(avatar_split_clause,[],[f1684,f645,f211,f809,f805]) ).
fof(f1693,plain,
( ~ spl0_144
| ~ spl0_164
| ~ spl0_2
| spl0_104 ),
inference(avatar_split_clause,[],[f1683,f650,f211,f1001,f813]) ).
fof(f1698,plain,
( ~ c1_1(a265)
| ~ c3_1(a265)
| ~ spl0_9
| spl0_98 ),
inference(resolution,[],[f235,f621]) ).
fof(f1708,plain,
( ~ spl0_179
| ~ spl0_133
| ~ spl0_9
| spl0_98 ),
inference(avatar_split_clause,[],[f1698,f620,f234,f769,f1634]) ).
fof(f1720,plain,
( spl0_111
| spl0_109
| ~ spl0_15
| spl0_110 ),
inference(avatar_split_clause,[],[f1350,f677,f255,f673,f681]) ).
fof(f1723,plain,
( ~ spl0_121
| spl0_160
| ~ spl0_29
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1602,f725,f304,f929,f721]) ).
fof(f1736,plain,
( ~ c3_1(a246)
| ~ c1_1(a246)
| ~ spl0_4
| ~ spl0_159 ),
inference(resolution,[],[f218,f878]) ).
fof(f1738,plain,
( ~ c3_1(a271)
| ~ c1_1(a271)
| ~ spl0_4
| ~ spl0_137 ),
inference(resolution,[],[f218,f786]) ).
fof(f1744,plain,
( ~ spl0_136
| ~ spl0_174
| ~ spl0_4
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1738,f785,f217,f1252,f781]) ).
fof(f1747,plain,
( ~ spl0_172
| ~ spl0_157
| ~ spl0_4
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f1736,f877,f217,f868,f1197]) ).
fof(f1779,plain,
( c3_1(a244)
| c1_1(a244)
| ~ spl0_15
| spl0_77 ),
inference(resolution,[],[f256,f526]) ).
fof(f1787,plain,
( spl0_78
| spl0_161
| ~ spl0_15
| spl0_77 ),
inference(avatar_split_clause,[],[f1779,f525,f255,f934,f529]) ).
fof(f1803,plain,
( ~ c1_1(a249)
| ~ c3_1(a249)
| ~ spl0_2
| spl0_82 ),
inference(resolution,[],[f549,f212]) ).
fof(f1804,plain,
( ~ spl0_124
| ~ spl0_173
| ~ spl0_2
| spl0_82 ),
inference(avatar_split_clause,[],[f1803,f548,f211,f1236,f733]) ).
fof(f1810,plain,
( ~ c3_1(a249)
| ~ c1_1(a249)
| ~ spl0_4
| ~ spl0_125 ),
inference(resolution,[],[f738,f218]) ).
fof(f1811,plain,
( ~ spl0_173
| ~ spl0_124
| ~ spl0_4
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1810,f737,f217,f733,f1236]) ).
fof(f1818,plain,
( c3_1(a252)
| c1_1(a252)
| ~ spl0_5
| ~ spl0_127 ),
inference(resolution,[],[f222,f746]) ).
fof(f1821,plain,
( c3_1(a244)
| c1_1(a244)
| ~ spl0_5
| ~ spl0_120 ),
inference(resolution,[],[f222,f718]) ).
fof(f1822,plain,
( c3_1(a238)
| c1_1(a238)
| ~ spl0_5
| ~ spl0_115 ),
inference(resolution,[],[f222,f698]) ).
fof(f1824,plain,
( spl0_169
| spl0_70
| ~ spl0_5
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1822,f697,f221,f493,f1081]) ).
fof(f1825,plain,
( spl0_78
| spl0_161
| ~ spl0_5
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1821,f717,f221,f934,f529]) ).
fof(f1826,plain,
( spl0_86
| spl0_85
| ~ spl0_5
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1818,f745,f221,f562,f566]) ).
fof(f1866,plain,
( c3_1(a251)
| c1_1(a251)
| ~ spl0_31
| ~ spl0_126 ),
inference(resolution,[],[f313,f742]) ).
fof(f1878,plain,
( c3_1(a294)
| ~ c1_1(a294)
| ~ spl0_12
| ~ spl0_145 ),
inference(resolution,[],[f818,f245]) ).
fof(f1881,plain,
( ~ spl0_146
| spl0_106
| ~ spl0_12
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1878,f817,f244,f659,f821]) ).
fof(f1887,plain,
( spl0_84
| spl0_83
| ~ spl0_31
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1866,f741,f312,f553,f557]) ).
fof(f1895,plain,
( ~ c3_1(a240)
| ~ c1_1(a240)
| ~ spl0_21
| ~ spl0_152 ),
inference(resolution,[],[f278,f848]) ).
fof(f1900,plain,
( ~ c3_1(a265)
| ~ c1_1(a265)
| ~ spl0_21
| ~ spl0_132 ),
inference(resolution,[],[f278,f766]) ).
fof(f1907,plain,
( ~ spl0_133
| ~ spl0_179
| ~ spl0_21
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1900,f765,f277,f1634,f769]) ).
fof(f1911,plain,
( ~ spl0_153
| ~ spl0_151
| ~ spl0_21
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f1895,f847,f277,f842,f851]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f219]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f229]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_4
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f236]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_10
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f246]) ).
cnf(s5,plain,
( spl0_2
| ~ spl0_3
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f253]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_6
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f260]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_7
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f267]) ).
cnf(s10,plain,
( ~ spl0_3
| spl0_9
| spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f279]) ).
cnf(s11,plain,
( ~ spl0_3
| spl0_22
| spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f289]) ).
cnf(s12,plain,
( ~ spl0_3
| spl0_24
| spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f296]) ).
cnf(s13,plain,
( ~ spl0_3
| spl0_27
| spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f306]) ).
cnf(s15,plain,
( ~ spl0_3
| spl0_29
| spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f314]) ).
cnf(s16,plain,
( ~ spl0_3
| spl0_6
| spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f318]) ).
cnf(s20,plain,
( ~ spl0_3
| spl0_14
| spl0_26
| spl0_36 ),
inference(sat_conversion,[],[f334]) ).
cnf(s21,plain,
( ~ spl0_3
| spl0_12
| spl0_18
| spl0_37 ),
inference(sat_conversion,[],[f338]) ).
cnf(s22,plain,
( ~ spl0_3
| spl0_6
| spl0_13
| spl0_38 ),
inference(sat_conversion,[],[f342]) ).
cnf(s24,plain,
( ~ spl0_3
| spl0_8
| spl0_21
| spl0_34 ),
inference(sat_conversion,[],[f350]) ).
cnf(s25,plain,
( ~ spl0_3
| spl0_4
| spl0_8
| spl0_41 ),
inference(sat_conversion,[],[f354]) ).
cnf(s27,plain,
( ~ spl0_3
| spl0_10
| spl0_11
| spl0_36 ),
inference(sat_conversion,[],[f359]) ).
cnf(s28,plain,
( ~ spl0_3
| spl0_10
| spl0_16
| spl0_43 ),
inference(sat_conversion,[],[f363]) ).
cnf(s29,plain,
( ~ spl0_3
| spl0_9
| spl0_15
| spl0_44 ),
inference(sat_conversion,[],[f367]) ).
cnf(s33,plain,
( ~ spl0_3
| spl0_15
| spl0_27
| spl0_31 ),
inference(sat_conversion,[],[f380]) ).
cnf(s34,plain,
( ~ spl0_3
| spl0_17
| spl0_18
| spl0_20 ),
inference(sat_conversion,[],[f381]) ).
cnf(s39,plain,
( ~ spl0_3
| spl0_21
| spl0_52
| spl0_53 ),
inference(sat_conversion,[],[f404]) ).
cnf(s40,plain,
( ~ spl0_3
| spl0_4
| spl0_34 ),
inference(sat_conversion,[],[f405]) ).
cnf(s44,plain,
( ~ spl0_3
| spl0_6
| spl0_41
| spl0_56 ),
inference(sat_conversion,[],[f418]) ).
cnf(s45,plain,
( ~ spl0_3
| spl0_6
| spl0_30
| spl0_36 ),
inference(sat_conversion,[],[f419]) ).
cnf(s47,plain,
( ~ spl0_3
| spl0_26
| spl0_53
| spl0_57 ),
inference(sat_conversion,[],[f424]) ).
cnf(s50,plain,
( ~ spl0_3
| spl0_28
| spl0_39
| spl0_60 ),
inference(sat_conversion,[],[f436]) ).
cnf(s52,plain,
( ~ spl0_3
| spl0_11
| spl0_25
| spl0_34 ),
inference(sat_conversion,[],[f438]) ).
cnf(s54,plain,
( spl0_1
| ~ spl0_3
| spl0_22
| spl0_59 ),
inference(sat_conversion,[],[f440]) ).
cnf(s56,plain,
( ~ spl0_3
| spl0_16
| spl0_20
| spl0_37 ),
inference(sat_conversion,[],[f445]) ).
cnf(s61,plain,
( ~ spl0_3
| spl0_18
| spl0_25
| spl0_45 ),
inference(sat_conversion,[],[f453]) ).
cnf(s64,plain,
( ~ spl0_3
| spl0_5
| spl0_33 ),
inference(sat_conversion,[],[f459]) ).
cnf(s68,plain,
( ~ spl0_3
| spl0_8
| spl0_30
| spl0_33 ),
inference(sat_conversion,[],[f463]) ).
cnf(s75,plain,
( ~ spl0_41
| ~ spl0_70 ),
inference(sat_conversion,[],[f495]) ).
cnf(s76,plain,
( ~ spl0_41
| ~ spl0_71 ),
inference(sat_conversion,[],[f499]) ).
cnf(s77,plain,
( ~ spl0_34
| ~ spl0_72 ),
inference(sat_conversion,[],[f504]) ).
cnf(s78,plain,
( ~ spl0_34
| ~ spl0_73 ),
inference(sat_conversion,[],[f508]) ).
cnf(s79,plain,
( ~ spl0_30
| ~ spl0_74 ),
inference(sat_conversion,[],[f513]) ).
cnf(s82,plain,
( ~ spl0_22
| ~ spl0_77 ),
inference(sat_conversion,[],[f527]) ).
cnf(s83,plain,
( ~ spl0_22
| ~ spl0_78 ),
inference(sat_conversion,[],[f531]) ).
cnf(s84,plain,
( ~ spl0_39
| ~ spl0_79 ),
inference(sat_conversion,[],[f536]) ).
cnf(s87,plain,
( ~ spl0_36
| ~ spl0_82 ),
inference(sat_conversion,[],[f550]) ).
cnf(s88,plain,
( ~ spl0_20
| ~ spl0_83 ),
inference(sat_conversion,[],[f555]) ).
cnf(s89,plain,
( ~ spl0_20
| ~ spl0_84 ),
inference(sat_conversion,[],[f559]) ).
cnf(s90,plain,
( ~ spl0_56
| ~ spl0_85 ),
inference(sat_conversion,[],[f564]) ).
cnf(s91,plain,
( ~ spl0_56
| ~ spl0_86 ),
inference(sat_conversion,[],[f568]) ).
cnf(s92,plain,
( ~ spl0_60
| ~ spl0_87 ),
inference(sat_conversion,[],[f573]) ).
cnf(s93,plain,
( ~ spl0_60
| ~ spl0_88 ),
inference(sat_conversion,[],[f577]) ).
cnf(s94,plain,
( ~ spl0_45
| ~ spl0_89 ),
inference(sat_conversion,[],[f582]) ).
cnf(s95,plain,
( ~ spl0_38
| ~ spl0_90 ),
inference(sat_conversion,[],[f587]) ).
cnf(s96,plain,
( ~ spl0_38
| ~ spl0_91 ),
inference(sat_conversion,[],[f591]) ).
cnf(s97,plain,
( ~ spl0_38
| ~ spl0_92 ),
inference(sat_conversion,[],[f595]) ).
cnf(s98,plain,
( ~ spl0_37
| ~ spl0_93 ),
inference(sat_conversion,[],[f600]) ).
cnf(s99,plain,
( ~ spl0_37
| ~ spl0_94 ),
inference(sat_conversion,[],[f604]) ).
cnf(s103,plain,
( ~ spl0_43
| ~ spl0_98 ),
inference(sat_conversion,[],[f622]) ).
cnf(s105,plain,
( ~ spl0_27
| ~ spl0_100 ),
inference(sat_conversion,[],[f632]) ).
cnf(s106,plain,
( ~ spl0_44
| ~ spl0_101 ),
inference(sat_conversion,[],[f637]) ).
cnf(s107,plain,
( ~ spl0_59
| ~ spl0_102 ),
inference(sat_conversion,[],[f642]) ).
cnf(s108,plain,
( ~ spl0_57
| ~ spl0_103 ),
inference(sat_conversion,[],[f647]) ).
cnf(s109,plain,
( ~ spl0_53
| ~ spl0_104 ),
inference(sat_conversion,[],[f652]) ).
cnf(s110,plain,
( ~ spl0_53
| ~ spl0_105 ),
inference(sat_conversion,[],[f656]) ).
cnf(s111,plain,
( ~ spl0_32
| ~ spl0_106 ),
inference(sat_conversion,[],[f661]) ).
cnf(s114,plain,
( ~ spl0_52
| ~ spl0_109 ),
inference(sat_conversion,[],[f675]) ).
cnf(s115,plain,
( ~ spl0_52
| ~ spl0_110 ),
inference(sat_conversion,[],[f679]) ).
cnf(s116,plain,
( ~ spl0_52
| ~ spl0_111 ),
inference(sat_conversion,[],[f683]) ).
cnf(s120,plain,
( ~ spl0_41
| spl0_115 ),
inference(sat_conversion,[],[f699]) ).
cnf(s121,plain,
( ~ spl0_34
| spl0_116 ),
inference(sat_conversion,[],[f703]) ).
cnf(s122,plain,
( ~ spl0_30
| spl0_117 ),
inference(sat_conversion,[],[f707]) ).
cnf(s123,plain,
( ~ spl0_30
| spl0_118 ),
inference(sat_conversion,[],[f711]) ).
cnf(s125,plain,
( ~ spl0_22
| spl0_120 ),
inference(sat_conversion,[],[f719]) ).
cnf(s126,plain,
( ~ spl0_39
| spl0_121 ),
inference(sat_conversion,[],[f723]) ).
cnf(s127,plain,
( ~ spl0_39
| spl0_122 ),
inference(sat_conversion,[],[f727]) ).
cnf(s129,plain,
( ~ spl0_36
| spl0_124 ),
inference(sat_conversion,[],[f735]) ).
cnf(s130,plain,
( ~ spl0_36
| spl0_125 ),
inference(sat_conversion,[],[f739]) ).
cnf(s131,plain,
( ~ spl0_20
| spl0_126 ),
inference(sat_conversion,[],[f743]) ).
cnf(s132,plain,
( ~ spl0_56
| spl0_127 ),
inference(sat_conversion,[],[f747]) ).
cnf(s133,plain,
( ~ spl0_60
| spl0_128 ),
inference(sat_conversion,[],[f751]) ).
cnf(s134,plain,
( ~ spl0_45
| spl0_129 ),
inference(sat_conversion,[],[f755]) ).
cnf(s135,plain,
( ~ spl0_45
| spl0_130 ),
inference(sat_conversion,[],[f759]) ).
cnf(s136,plain,
( ~ spl0_37
| spl0_131 ),
inference(sat_conversion,[],[f763]) ).
cnf(s137,plain,
( ~ spl0_43
| spl0_132 ),
inference(sat_conversion,[],[f767]) ).
cnf(s138,plain,
( ~ spl0_43
| spl0_133 ),
inference(sat_conversion,[],[f771]) ).
cnf(s141,plain,
( ~ spl0_27
| spl0_136 ),
inference(sat_conversion,[],[f783]) ).
cnf(s142,plain,
( ~ spl0_27
| spl0_137 ),
inference(sat_conversion,[],[f787]) ).
cnf(s143,plain,
( ~ spl0_44
| spl0_138 ),
inference(sat_conversion,[],[f791]) ).
cnf(s144,plain,
( ~ spl0_44
| spl0_139 ),
inference(sat_conversion,[],[f795]) ).
cnf(s145,plain,
( ~ spl0_59
| spl0_140 ),
inference(sat_conversion,[],[f799]) ).
cnf(s146,plain,
( ~ spl0_59
| spl0_141 ),
inference(sat_conversion,[],[f803]) ).
cnf(s147,plain,
( ~ spl0_57
| spl0_142 ),
inference(sat_conversion,[],[f807]) ).
cnf(s148,plain,
( ~ spl0_57
| spl0_143 ),
inference(sat_conversion,[],[f811]) ).
cnf(s149,plain,
( ~ spl0_53
| spl0_144 ),
inference(sat_conversion,[],[f815]) ).
cnf(s150,plain,
( ~ spl0_32
| spl0_145 ),
inference(sat_conversion,[],[f819]) ).
cnf(s151,plain,
( ~ spl0_32
| spl0_146 ),
inference(sat_conversion,[],[f823]) ).
cnf(s156,plain,
( ~ spl0_33
| spl0_151 ),
inference(sat_conversion,[],[f845]) ).
cnf(s157,plain,
( ~ spl0_33
| spl0_152 ),
inference(sat_conversion,[],[f849]) ).
cnf(s158,plain,
( ~ spl0_33
| spl0_153 ),
inference(sat_conversion,[],[f853]) ).
cnf(s162,plain,
( ~ spl0_25
| spl0_157 ),
inference(sat_conversion,[],[f871]) ).
cnf(s163,plain,
( ~ spl0_25
| spl0_158 ),
inference(sat_conversion,[],[f875]) ).
cnf(s164,plain,
( ~ spl0_25
| spl0_159 ),
inference(sat_conversion,[],[f879]) ).
cnf(s166,plain,
( spl0_53
| spl0_57
| spl0_60 ),
inference(sat_conversion,[],[f881]) ).
cnf(s169,plain,
( spl0_39
| spl0_53
| spl0_60 ),
inference(sat_conversion,[],[f884]) ).
cnf(s170,plain,
( spl0_20
| spl0_39
| spl0_60 ),
inference(sat_conversion,[],[f885]) ).
cnf(s171,plain,
( spl0_22
| spl0_38
| spl0_39 ),
inference(sat_conversion,[],[f886]) ).
cnf(s188,plain,
( spl0_3
| ~ spl0_60 ),
inference(sat_conversion,[],[f904]) ).
cnf(s198,plain,
( spl0_3
| ~ spl0_57 ),
inference(sat_conversion,[],[f914]) ).
cnf(s199,plain,
( spl0_3
| ~ spl0_53 ),
inference(sat_conversion,[],[f915]) ).
cnf(s207,plain,
( ~ spl0_5
| spl0_79
| ~ spl0_122
| spl0_160 ),
inference(sat_conversion,[],[f931]) ).
cnf(s211,plain,
( ~ spl0_6
| spl0_79
| ~ spl0_122
| ~ spl0_160 ),
inference(sat_conversion,[],[f946]) ).
cnf(s212,plain,
( ~ spl0_6
| spl0_78
| ~ spl0_120
| ~ spl0_161 ),
inference(sat_conversion,[],[f947]) ).
cnf(s216,plain,
( ~ spl0_11
| spl0_90
| spl0_91
| ~ spl0_163 ),
inference(sat_conversion,[],[f975]) ).
cnf(s219,plain,
( ~ spl0_14
| spl0_90
| spl0_92
| ~ spl0_163 ),
inference(sat_conversion,[],[f993]) ).
cnf(s221,plain,
( ~ spl0_10
| spl0_104
| ~ spl0_144
| spl0_164 ),
inference(sat_conversion,[],[f1004]) ).
cnf(s233,plain,
( ~ spl0_8
| spl0_91
| spl0_92
| spl0_163 ),
inference(sat_conversion,[],[f1065]) ).
cnf(s237,plain,
( ~ spl0_5
| ~ spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f1074]) ).
cnf(s239,plain,
( ~ spl0_17
| spl0_90
| spl0_91
| spl0_92 ),
inference(sat_conversion,[],[f1076]) ).
cnf(s262,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_13 ),
inference(sat_conversion,[],[f1146]) ).
cnf(s263,plain,
( ~ spl0_16
| spl0_71
| ~ spl0_115
| spl0_169 ),
inference(sat_conversion,[],[f1153]) ).
cnf(s268,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_18 ),
inference(sat_conversion,[],[f1173]) ).
cnf(s269,plain,
( ~ spl0_6
| spl0_10
| ~ spl0_18 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s272,plain,
( ~ spl0_11
| spl0_93
| spl0_94
| ~ spl0_131 ),
inference(sat_conversion,[],[f1185]) ).
cnf(s284,plain,
( spl0_2
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f1226]) ).
cnf(s287,plain,
( ~ spl0_15
| spl0_90
| spl0_91
| spl0_163 ),
inference(sat_conversion,[],[f1229]) ).
cnf(s289,plain,
( ~ spl0_6
| ~ spl0_124
| ~ spl0_125
| spl0_173 ),
inference(sat_conversion,[],[f1241]) ).
cnf(s290,plain,
( ~ spl0_16
| spl0_82
| ~ spl0_125
| spl0_173 ),
inference(sat_conversion,[],[f1243]) ).
cnf(s298,plain,
( ~ spl0_10
| spl0_72
| spl0_73
| ~ spl0_116 ),
inference(sat_conversion,[],[f1279]) ).
cnf(s299,plain,
( ~ spl0_10
| spl0_82
| ~ spl0_124
| spl0_173 ),
inference(sat_conversion,[],[f1280]) ).
cnf(s313,plain,
( ~ spl0_18
| spl0_104
| spl0_105
| ~ spl0_144 ),
inference(sat_conversion,[],[f1330]) ).
cnf(s329,plain,
( ~ spl0_8
| spl0_104
| spl0_105
| spl0_164 ),
inference(sat_conversion,[],[f1377]) ).
cnf(s333,plain,
( ~ spl0_23
| spl0_89
| ~ spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f1404]) ).
cnf(s334,plain,
( ~ spl0_23
| ~ spl0_157
| ~ spl0_158
| spl0_172 ),
inference(sat_conversion,[],[f1405]) ).
cnf(s346,plain,
( ~ spl0_10
| spl0_77
| spl0_78
| ~ spl0_161 ),
inference(sat_conversion,[],[f1434]) ).
cnf(s347,plain,
( ~ spl0_16
| spl0_77
| spl0_78
| ~ spl0_120 ),
inference(sat_conversion,[],[f1438]) ).
cnf(s355,plain,
( ~ spl0_24
| spl0_100
| ~ spl0_136
| ~ spl0_137 ),
inference(sat_conversion,[],[f1469]) ).
cnf(s356,plain,
( ~ spl0_24
| ~ spl0_140
| ~ spl0_141
| spl0_175 ),
inference(sat_conversion,[],[f1470]) ).
cnf(s359,plain,
( ~ spl0_26
| spl0_74
| ~ spl0_117
| ~ spl0_118 ),
inference(sat_conversion,[],[f1490]) ).
cnf(s362,plain,
( ~ spl0_4
| spl0_21
| ~ spl0_26 ),
inference(sat_conversion,[],[f1494]) ).
cnf(s365,plain,
( ~ spl0_14
| spl0_87
| spl0_88
| ~ spl0_128 ),
inference(sat_conversion,[],[f1497]) ).
cnf(s387,plain,
( ~ spl0_6
| ~ spl0_157
| ~ spl0_159
| spl0_172 ),
inference(sat_conversion,[],[f1549]) ).
cnf(s389,plain,
( ~ spl0_11
| spl0_70
| spl0_71
| ~ spl0_169 ),
inference(sat_conversion,[],[f1559]) ).
cnf(s393,plain,
( ~ spl0_4
| spl0_21
| ~ spl0_28 ),
inference(sat_conversion,[],[f1593]) ).
cnf(s395,plain,
( ~ spl0_29
| spl0_85
| ~ spl0_127
| ~ spl0_176 ),
inference(sat_conversion,[],[f1607]) ).
cnf(s398,plain,
( ~ spl0_29
| spl0_101
| ~ spl0_138
| ~ spl0_139 ),
inference(sat_conversion,[],[f1613]) ).
cnf(s399,plain,
( ~ spl0_29
| spl0_102
| ~ spl0_141
| ~ spl0_175 ),
inference(sat_conversion,[],[f1616]) ).
cnf(s403,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f1621]) ).
cnf(s404,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f1622]) ).
cnf(s412,plain,
( ~ spl0_14
| spl0_98
| ~ spl0_133
| spl0_179 ),
inference(sat_conversion,[],[f1636]) ).
cnf(s414,plain,
( ~ spl0_24
| spl0_71
| ~ spl0_115
| ~ spl0_169 ),
inference(sat_conversion,[],[f1645]) ).
cnf(s415,plain,
( ~ spl0_12
| ~ spl0_132
| ~ spl0_133
| spl0_179 ),
inference(sat_conversion,[],[f1647]) ).
cnf(s418,plain,
( ~ spl0_1
| spl0_70
| spl0_71
| ~ spl0_115 ),
inference(sat_conversion,[],[f1669]) ).
cnf(s419,plain,
( ~ spl0_1
| spl0_85
| ~ spl0_127
| spl0_176 ),
inference(sat_conversion,[],[f1670]) ).
cnf(s421,plain,
( ~ spl0_1
| spl0_100
| ~ spl0_137
| spl0_174 ),
inference(sat_conversion,[],[f1672]) ).
cnf(s429,plain,
( ~ spl0_2
| spl0_103
| ~ spl0_142
| ~ spl0_143 ),
inference(sat_conversion,[],[f1692]) ).
cnf(s430,plain,
( ~ spl0_2
| spl0_104
| ~ spl0_144
| ~ spl0_164 ),
inference(sat_conversion,[],[f1693]) ).
cnf(s431,plain,
( ~ spl0_9
| spl0_98
| ~ spl0_133
| ~ spl0_179 ),
inference(sat_conversion,[],[f1708]) ).
cnf(s443,plain,
( ~ spl0_15
| spl0_109
| spl0_110
| spl0_111 ),
inference(sat_conversion,[],[f1720]) ).
cnf(s446,plain,
( ~ spl0_29
| ~ spl0_121
| ~ spl0_122
| spl0_160 ),
inference(sat_conversion,[],[f1723]) ).
cnf(s457,plain,
( ~ spl0_4
| ~ spl0_136
| ~ spl0_137
| ~ spl0_174 ),
inference(sat_conversion,[],[f1744]) ).
cnf(s459,plain,
( ~ spl0_4
| ~ spl0_157
| ~ spl0_159
| ~ spl0_172 ),
inference(sat_conversion,[],[f1747]) ).
cnf(s467,plain,
( ~ spl0_15
| spl0_77
| spl0_78
| spl0_161 ),
inference(sat_conversion,[],[f1787]) ).
cnf(s482,plain,
( ~ spl0_2
| spl0_82
| ~ spl0_124
| ~ spl0_173 ),
inference(sat_conversion,[],[f1804]) ).
cnf(s485,plain,
( ~ spl0_4
| ~ spl0_124
| ~ spl0_125
| ~ spl0_173 ),
inference(sat_conversion,[],[f1811]) ).
cnf(s486,plain,
( ~ spl0_5
| spl0_70
| ~ spl0_115
| spl0_169 ),
inference(sat_conversion,[],[f1824]) ).
cnf(s487,plain,
( ~ spl0_5
| spl0_78
| ~ spl0_120
| spl0_161 ),
inference(sat_conversion,[],[f1825]) ).
cnf(s488,plain,
( ~ spl0_5
| spl0_85
| spl0_86
| ~ spl0_127 ),
inference(sat_conversion,[],[f1826]) ).
cnf(s496,plain,
( ~ spl0_12
| spl0_106
| ~ spl0_145
| ~ spl0_146 ),
inference(sat_conversion,[],[f1881]) ).
cnf(s502,plain,
( ~ spl0_31
| spl0_83
| spl0_84
| ~ spl0_126 ),
inference(sat_conversion,[],[f1887]) ).
cnf(s505,plain,
( ~ spl0_21
| ~ spl0_132
| ~ spl0_133
| ~ spl0_179 ),
inference(sat_conversion,[],[f1907]) ).
cnf(s509,plain,
( ~ spl0_21
| ~ spl0_151
| ~ spl0_152
| ~ spl0_153 ),
inference(sat_conversion,[],[f1911]) ).
cnf(s511,plain,
spl0_3,
inference(rat,[],[s166,s188,s198,s199]) ).
cnf(s512,plain,
( spl0_6
| spl0_5
| spl0_13
| spl0_18
| spl0_2 ),
inference(rat,[],[s272,s98,s99,s136,s4,s21,s496,s111,s150,s151,s298,s16,s77,s78,s121,s502,s24,s88,s89,s131,s233,s10,s219,s284,s95,s96,s97,s2,s22,s5,s509,s156,s157,s158,s64,s511]) ).
cnf(s513,plain,
( ~ spl0_37
| ~ spl0_11 ),
inference(rat,[],[s272,s98,s99,s136]) ).
cnf(s514,plain,
( ~ spl0_25
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s387,s459,s162,s164]) ).
cnf(s515,plain,
( ~ spl0_27
| ~ spl0_24 ),
inference(rat,[],[s355,s105,s141,s142]) ).
cnf(s518,plain,
( ~ spl0_32
| ~ spl0_12 ),
inference(rat,[],[s496,s111,s150,s151]) ).
cnf(s519,plain,
( ~ spl0_38
| ~ spl0_15
| ~ spl0_14 ),
inference(rat,[],[s287,s219,s95,s96,s97]) ).
cnf(s521,plain,
( ~ spl0_39
| ~ spl0_29
| ~ spl0_6 ),
inference(rat,[],[s211,s446,s84,s126,s127]) ).
cnf(s522,plain,
( ~ spl0_60
| ~ spl0_14 ),
inference(rat,[],[s365,s92,s93,s133]) ).
cnf(s523,plain,
( spl0_28
| ~ spl0_6
| spl0_27
| spl0_60 ),
inference(rat,[],[s521,s13,s50,s511]) ).
cnf(s524,plain,
( ~ spl0_22
| ~ spl0_15
| ~ spl0_6 ),
inference(rat,[],[s467,s212,s82,s83,s125]) ).
cnf(s525,plain,
( ~ spl0_33
| ~ spl0_21 ),
inference(rat,[],[s509,s156,s157,s158]) ).
cnf(s526,plain,
( ~ spl0_39
| ~ spl0_5
| ~ spl0_6 ),
inference(rat,[],[s207,s211,s84,s127]) ).
cnf(s527,plain,
( ~ spl0_6
| spl0_27
| ~ spl0_14
| ~ spl0_4 ),
inference(rat,[],[s171,s524,s519,s33,s502,s88,s89,s131,s170,s526,s64,s525,s393,s523,s522,s511]) ).
cnf(s528,plain,
( spl0_27
| ~ spl0_14
| spl0_13
| spl0_18
| ~ spl0_4 ),
inference(rat,[],[s502,s88,s89,s131,s34,s33,s239,s519,s95,s96,s97,s22,s527,s511]) ).
cnf(s529,plain,
( ~ spl0_6
| spl0_24
| spl0_18
| ~ spl0_4 ),
inference(rat,[],[s487,s212,s83,s125,s64,s11,s525,s333,s362,s94,s134,s135,s12,s61,s514,s511]) ).
cnf(s530,plain,
( ~ spl0_4
| spl0_2 ),
inference(rat,[],[s346,s487,s82,s83,s125,s11,s334,s459,s162,s163,s164,s12,s359,s4,s79,s122,s123,s513,s15,s21,s398,s518,s106,s143,s144,s16,s29,s502,s284,s88,s89,s131,s7,s34,s239,s519,s95,s96,s97,s512,s22,s529,s515,s528,s5,s262,s268,s511]) ).
cnf(s531,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s530,s1,s511]) ).
cnf(s532,plain,
( ~ spl0_14
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s313,s109,s110,s149,s169,s526,s64,s525,s362,s12,s529,s515,s527,s522,s514,s511]) ).
cnf(s533,plain,
( ~ spl0_36
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s289,s485,s129,s130]) ).
cnf(s534,plain,
( spl0_11
| spl0_36
| spl0_25 ),
inference(rat,[],[s298,s77,s78,s121,s27,s52,s511]) ).
cnf(s535,plain,
( ~ spl0_15
| ~ spl0_11
| spl0_39
| ~ spl0_6 ),
inference(rat,[],[s216,s287,s95,s96,s171,s524]) ).
cnf(s536,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s359,s79,s122,s123,s68,s237,s535,s534,s526,s64,s525,s362,s20,s533,s532,s514,s511]) ).
cnf(s537,plain,
( ~ spl0_59
| ~ spl0_24
| ~ spl0_29 ),
inference(rat,[],[s399,s356,s107,s145,s146]) ).
cnf(s539,plain,
( spl0_24
| spl0_22
| spl0_26
| ~ spl0_4 ),
inference(rat,[],[s334,s459,s162,s163,s164,s11,s12,s511]) ).
cnf(s540,plain,
( spl0_22
| spl0_21
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s13,s537,s515,s539,s54,s362,s393,s511]) ).
cnf(s544,plain,
( ~ spl0_53
| ~ spl0_18 ),
inference(rat,[],[s313,s109,s110,s149]) ).
cnf(s545,plain,
( ~ spl0_52
| ~ spl0_15 ),
inference(rat,[],[s443,s114,s115,s116]) ).
cnf(s547,plain,
( ~ spl0_43
| ~ spl0_21
| ~ spl0_14 ),
inference(rat,[],[s412,s505,s103,s137,s138]) ).
cnf(s548,plain,
( ~ spl0_22
| spl0_43
| ~ spl0_5 ),
inference(rat,[],[s28,s346,s347,s487,s82,s83,s125,s511]) ).
cnf(s549,plain,
( ~ spl0_57
| ~ spl0_2 ),
inference(rat,[],[s429,s108,s147,s148]) ).
cnf(s550,plain,
( spl0_37
| spl0_16
| spl0_18
| spl0_6 ),
inference(rat,[],[s16,s502,s518,s88,s89,s131,s21,s56,s511]) ).
cnf(s551,plain,
( spl0_21
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s502,s88,s89,s131,s10,s431,s16,s415,s518,s4,s513,s550,s103,s137,s138,s28,s221,s430,s347,s544,s109,s149,s82,s83,s125,s47,s540,s362,s549,s531,s536,s511]) ).
cnf(s555,plain,
( ~ spl0_56
| ~ spl0_5 ),
inference(rat,[],[s488,s90,s91,s132]) ).
cnf(s557,plain,
( ~ spl0_30
| ~ spl0_26 ),
inference(rat,[],[s359,s79,s122,s123]) ).
cnf(s558,plain,
( ~ spl0_36
| ~ spl0_21
| ~ spl0_4 ),
inference(rat,[],[s415,s505,s137,s138,s28,s4,s290,s299,s485,s87,s129,s130,s389,s76,s486,s75,s120,s44,s555,s64,s525,s536,s511]) ).
cnf(s559,plain,
( ~ spl0_4
| spl0_1 ),
inference(rat,[],[s547,s548,s20,s539,s557,s45,s558,s414,s486,s75,s76,s120,s44,s555,s64,s525,s551,s536,s511]) ).
cnf(s560,plain,
( ~ spl0_21
| spl0_6
| spl0_1 ),
inference(rat,[],[s415,s505,s137,s138,s28,s290,s482,s87,s129,s130,s4,s27,s389,s486,s75,s76,s120,s44,s555,s64,s525,s531,s298,s77,s78,s121,s40,s559,s511]) ).
cnf(s561,plain,
( ~ spl0_53
| ~ spl0_11
| spl0_6
| spl0_1 ),
inference(rat,[],[s389,s263,s75,s76,s120,s25,s329,s550,s430,s544,s109,s110,s149,s531,s559,s513,s511]) ).
cnf(s562,plain,
( spl0_53
| spl0_21
| spl0_6
| ~ spl0_2 ),
inference(rat,[],[s290,s482,s87,s129,s130,s45,s6,s557,s545,s47,s39,s549,s511]) ).
cnf(s563,plain,
( spl0_6
| spl0_1 ),
inference(rat,[],[s431,s415,s103,s137,s138,s28,s290,s482,s3,s87,s129,s130,s329,s4,s27,s430,s561,s109,s110,s149,s562,s560,s531,s298,s77,s78,s121,s40,s559,s511]) ).
cnf(s565,plain,
( ~ spl0_11
| spl0_1 ),
inference(rat,[],[s431,s415,s103,s137,s138,s28,s263,s21,s389,s513,s269,s3,s120,s76,s75,s25,s404,s563,s298,s77,s78,s121,s40,s559,s511]) ).
cnf(s566,plain,
spl0_1,
inference(rat,[],[s482,s289,s87,s129,s130,s27,s565,s563,s298,s77,s78,s121,s40,s559,s531,s511]) ).
cnf(s567,plain,
~ spl0_41,
inference(rat,[],[s418,s75,s76,s120,s566]) ).
cnf(s568,plain,
~ spl0_4,
inference(rat,[],[s421,s457,s105,s141,s142,s13,s393,s525,s64,s395,s419,s555,s90,s132,s44,s536,s566,s511,s567]) ).
cnf(s569,plain,
spl0_8,
inference(rat,[],[s25,s568,s511,s567]) ).
cnf(s570,plain,
spl0_34,
inference(rat,[],[s40,s511,s568]) ).
cnf(s571,plain,
spl0_116,
inference(rat,[],[s121,s570]) ).
cnf(s572,plain,
~ spl0_73,
inference(rat,[],[s78,s570]) ).
cnf(s573,plain,
~ spl0_72,
inference(rat,[],[s77,s570]) ).
cnf(s574,plain,
~ spl0_10,
inference(rat,[],[s298,s571,s572,s573]) ).
cnf(s575,plain,
~ spl0_7,
inference(rat,[],[s403,s569,s574]) ).
cnf(s576,plain,
~ spl0_6,
inference(rat,[],[s404,s569,s574]) ).
cnf(s577,plain,
spl0_5,
inference(rat,[],[s2,s576,s511,s575]) ).
cnf(s578,plain,
spl0_56,
inference(rat,[],[s44,s567,s511,s576]) ).
cnf(s579,plain,
$false,
inference(rat,[],[s555,s577,s578]) ).
fof(f1913,plain,
$false,
inference(avatar_sat_refutation,[],[s579]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN502-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n009.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 16:17:45 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.07/1.12 % (3197741)Input is clausal, will run a generic CNF schedule.
% 3.07/1.12 % (3197747)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2342481818:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.07/1.12 % (3197751)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1977551753:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.07/1.12 % (3197752)dis-21_1_sil=8000:lcm=predicate:random_seed=3864438968:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.07/1.12 % (3197750)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3446547289:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.07/1.12 % (3197746)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=4127926382:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.07/1.12 % (3197748)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1764587330:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.07/1.12 % (3197749)lrs+10_1_sil=8000:sp=occurrence:random_seed=468379542:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.07/1.12 % (3197752)First to succeed.
% 3.07/1.12 % (3197752)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3197741"
% 3.07/1.12 % (3197749)Also succeeded, but the first one will report.
% 3.07/1.12 % (3197751)Also succeeded, but the first one will report.
% 3.07/1.12 % (3197750)Also succeeded, but the first one will report.
% 3.07/1.12 % (3197752)Refutation found. Thanks to Tanya!
% 3.07/1.12 % SZS status Unsatisfiable for theBenchmark
% 3.07/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.31 % (3197752)------------------------------
% 0.17/1.31 % (3197752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.31 % (3197752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.31 % (3197752)CaDiCaL version: 2.1.3
% 0.17/1.31 % (3197752)Termination reason: Refutation
% 0.17/1.31 % (3197752)Time elapsed: 0.028 s
% 0.17/1.31 % (3197752)Peak memory usage: 90 MB
% 0.17/1.31 % (3197752)Instructions burned: 42 (million)
% 0.17/1.31 % (3197752)------------------------------
% 0.17/1.31 % (3197752)------------------------------
% 0.17/1.31 % (3197741)Success in time 0.465 s
% 0.17/1.31 % Vampire exiting
%------------------------------------------------------------------------------