## TPTP Problem File: SYN440-1.p

View Solutions - Solve Problem

```%--------------------------------------------------------------------------
% File     : SYN440-1 : TPTP v8.1.0. Released v2.1.0.
% Domain   : Syntactic (Translated)
% Problem  : ALC, N=4, R=1, L=60, K=3, D=1, P=0, Index=002
% Version  : Especial.
% English  :

% Refs     : [OS95]  Ohlbach & Schmidt (1995), Functional Translation and S
%          : [WGR96] Weidenbach et al. (1996), SPASS and FLOTTER
%          : [HS97]  Hustadt & Schmidt (1997), On Evaluating Decision Proce
%          : [Wei97] Weidenbach (1997), Email to G. Sutcliffe
% Source   : [Wei97]
% Names    : alc-4-1-60-3-1-002.cnf [Wei97]

% Status   : Unsatisfiable
% Rating   : 0.00 v7.3.0, 0.10 v7.2.0, 0.11 v7.1.0, 0.00 v7.0.0, 0.14 v6.4.0, 0.00 v6.2.0, 0.25 v6.1.0, 0.12 v6.0.0, 0.00 v5.0.0, 0.17 v4.1.0, 0.20 v4.0.1, 0.40 v3.7.0, 0.25 v3.5.0, 0.00 v3.3.0, 0.67 v3.2.0, 0.33 v3.1.0, 0.56 v2.7.0, 0.67 v2.5.0, 0.25 v2.4.0, 0.75 v2.3.0, 1.00 v2.2.1, 1.00 v2.1.0
% Syntax   : Number of clauses     :  328 (   0 unt;  57 nHn; 315 RR)
%            Number of literals    :  946 (   0 equ; 560 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   72 (  72 usr;  68 prp; 0-1 aty)
%            Number of functors    :   67 (  67 usr;  67 con; 0-0 aty)
%            Number of variables   :   92 (   0 sgn)
% SPC      : CNF_UNS_EPR_NEQ_NHN

% Comments : These ALC problems have been translated from propositional
%            multi-modal K logic formulae generated according to the scheme
%            described in [HS97], using the optimized functional translation
%            described in [OS95]. The finite model property holds, the
%            Herbrand Universe is finite, they are decidable (the complexity
%            is PSPACE-complete), resolution + subsumption + condensing is a
%            decision procedure, and the translated formulae belong to the
%            (CNF-translation of the) Bernays-Schoenfinkel class [Wei97].
%          : Translated from FOF using FLOTTER [WGR96].
%--------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( hskp59
| hskp30 ) ).

cnf(clause2,negated_conjecture,
( ~ hskp66
| ndr1_0 ) ).

cnf(clause3,negated_conjecture,
( ~ hskp65
| ndr1_0 ) ).

cnf(clause4,negated_conjecture,
( ~ hskp64
| ndr1_0 ) ).

cnf(clause5,negated_conjecture,
( ~ hskp63
| ndr1_0 ) ).

cnf(clause6,negated_conjecture,
( ~ hskp62
| ndr1_0 ) ).

cnf(clause7,negated_conjecture,
( ~ hskp61
| ndr1_0 ) ).

cnf(clause8,negated_conjecture,
( ~ hskp60
| ndr1_0 ) ).

cnf(clause9,negated_conjecture,
( ~ hskp59
| ndr1_0 ) ).

cnf(clause10,negated_conjecture,
( ~ hskp58
| ndr1_0 ) ).

cnf(clause11,negated_conjecture,
( ~ hskp57
| ndr1_0 ) ).

cnf(clause12,negated_conjecture,
( ~ hskp56
| ndr1_0 ) ).

cnf(clause13,negated_conjecture,
( ~ hskp55
| ndr1_0 ) ).

cnf(clause14,negated_conjecture,
( ~ hskp54
| ndr1_0 ) ).

cnf(clause15,negated_conjecture,
( ~ hskp53
| ndr1_0 ) ).

cnf(clause16,negated_conjecture,
( ~ hskp52
| ndr1_0 ) ).

cnf(clause17,negated_conjecture,
( ~ hskp51
| ndr1_0 ) ).

cnf(clause18,negated_conjecture,
( ~ hskp50
| ndr1_0 ) ).

cnf(clause19,negated_conjecture,
( ~ hskp49
| ndr1_0 ) ).

cnf(clause20,negated_conjecture,
( ~ hskp48
| ndr1_0 ) ).

cnf(clause21,negated_conjecture,
( ~ hskp47
| ndr1_0 ) ).

cnf(clause22,negated_conjecture,
( ~ hskp46
| ndr1_0 ) ).

cnf(clause23,negated_conjecture,
( ~ hskp45
| ndr1_0 ) ).

cnf(clause24,negated_conjecture,
( ~ hskp44
| ndr1_0 ) ).

cnf(clause25,negated_conjecture,
( ~ hskp43
| ndr1_0 ) ).

cnf(clause26,negated_conjecture,
( ~ hskp42
| ndr1_0 ) ).

cnf(clause27,negated_conjecture,
( ~ hskp41
| ndr1_0 ) ).

cnf(clause28,negated_conjecture,
( ~ hskp40
| ndr1_0 ) ).

cnf(clause29,negated_conjecture,
( ~ hskp39
| ndr1_0 ) ).

cnf(clause30,negated_conjecture,
( ~ hskp38
| ndr1_0 ) ).

cnf(clause31,negated_conjecture,
( ~ hskp37
| ndr1_0 ) ).

cnf(clause32,negated_conjecture,
( ~ hskp36
| ndr1_0 ) ).

cnf(clause33,negated_conjecture,
( ~ hskp35
| ndr1_0 ) ).

cnf(clause34,negated_conjecture,
( ~ hskp34
| ndr1_0 ) ).

cnf(clause35,negated_conjecture,
( ~ hskp33
| ndr1_0 ) ).

cnf(clause36,negated_conjecture,
( ~ hskp32
| ndr1_0 ) ).

cnf(clause37,negated_conjecture,
( ~ hskp31
| ndr1_0 ) ).

cnf(clause38,negated_conjecture,
( ~ hskp30
| ndr1_0 ) ).

cnf(clause39,negated_conjecture,
( ~ hskp29
| ndr1_0 ) ).

cnf(clause40,negated_conjecture,
( ~ hskp28
| ndr1_0 ) ).

cnf(clause41,negated_conjecture,
( ~ hskp27
| ndr1_0 ) ).

cnf(clause42,negated_conjecture,
( ~ hskp26
| ndr1_0 ) ).

cnf(clause43,negated_conjecture,
( ~ hskp25
| ndr1_0 ) ).

cnf(clause44,negated_conjecture,
( ~ hskp24
| ndr1_0 ) ).

cnf(clause45,negated_conjecture,
( ~ hskp23
| ndr1_0 ) ).

cnf(clause46,negated_conjecture,
( ~ hskp22
| ndr1_0 ) ).

cnf(clause47,negated_conjecture,
( ~ hskp21
| ndr1_0 ) ).

cnf(clause48,negated_conjecture,
( ~ hskp20
| ndr1_0 ) ).

cnf(clause49,negated_conjecture,
( ~ hskp19
| ndr1_0 ) ).

cnf(clause50,negated_conjecture,
( ~ hskp18
| ndr1_0 ) ).

cnf(clause51,negated_conjecture,
( ~ hskp17
| ndr1_0 ) ).

cnf(clause52,negated_conjecture,
( ~ hskp16
| ndr1_0 ) ).

cnf(clause53,negated_conjecture,
( ~ hskp15
| ndr1_0 ) ).

cnf(clause54,negated_conjecture,
( ~ hskp14
| ndr1_0 ) ).

cnf(clause55,negated_conjecture,
( ~ hskp13
| ndr1_0 ) ).

cnf(clause56,negated_conjecture,
( ~ hskp12
| ndr1_0 ) ).

cnf(clause57,negated_conjecture,
( ~ hskp11
| ndr1_0 ) ).

cnf(clause58,negated_conjecture,
( ~ hskp10
| ndr1_0 ) ).

cnf(clause59,negated_conjecture,
( ~ hskp9
| ndr1_0 ) ).

cnf(clause60,negated_conjecture,
( ~ hskp8
| ndr1_0 ) ).

cnf(clause61,negated_conjecture,
( ~ hskp7
| ndr1_0 ) ).

cnf(clause62,negated_conjecture,
( ~ hskp6
| ndr1_0 ) ).

cnf(clause63,negated_conjecture,
( ~ hskp5
| ndr1_0 ) ).

cnf(clause64,negated_conjecture,
( ~ hskp4
| ndr1_0 ) ).

cnf(clause65,negated_conjecture,
( ~ hskp3
| ndr1_0 ) ).

cnf(clause66,negated_conjecture,
( ~ hskp2
| ndr1_0 ) ).

cnf(clause67,negated_conjecture,
( ~ hskp1
| ndr1_0 ) ).

cnf(clause68,negated_conjecture,
( ~ hskp0
| ndr1_0 ) ).

cnf(clause69,negated_conjecture,
( hskp33
| hskp34
| hskp2 ) ).

cnf(clause70,negated_conjecture,
( hskp3
| hskp4
| hskp36 ) ).

cnf(clause71,negated_conjecture,
( hskp16
| hskp17
| hskp9 ) ).

cnf(clause72,negated_conjecture,
( hskp18
| hskp9
| hskp19 ) ).

cnf(clause73,negated_conjecture,
( hskp27
| hskp40
| hskp28 ) ).

cnf(clause74,negated_conjecture,
( hskp33
| hskp60
| hskp61 ) ).

cnf(clause75,negated_conjecture,
( hskp64
| hskp65
| hskp66 ) ).

cnf(clause76,negated_conjecture,
( ~ hskp66
| c1_1(a675) ) ).

cnf(clause77,negated_conjecture,
( ~ hskp66
| c3_1(a675) ) ).

cnf(clause78,negated_conjecture,
( ~ hskp65
| c2_1(a674) ) ).

cnf(clause79,negated_conjecture,
( ~ hskp65
| c0_1(a674) ) ).

cnf(clause80,negated_conjecture,
( ~ hskp64
| c3_1(a673) ) ).

cnf(clause81,negated_conjecture,
( ~ hskp64
| c1_1(a673) ) ).

cnf(clause82,negated_conjecture,
( ~ hskp63
| c3_1(a672) ) ).

cnf(clause83,negated_conjecture,
( ~ hskp62
| c3_1(a671) ) ).

cnf(clause84,negated_conjecture,
( ~ hskp62
| c0_1(a671) ) ).

cnf(clause85,negated_conjecture,
( ~ hskp61
| c2_1(a670) ) ).

cnf(clause86,negated_conjecture,
( ~ hskp60
| c0_1(a669) ) ).

cnf(clause87,negated_conjecture,
( ~ hskp60
| c1_1(a669) ) ).

cnf(clause88,negated_conjecture,
( ~ hskp59
| c2_1(a665) ) ).

cnf(clause89,negated_conjecture,
( ~ hskp59
| c3_1(a665) ) ).

cnf(clause90,negated_conjecture,
( ~ hskp58
| c3_1(a663) ) ).

cnf(clause91,negated_conjecture,
( ~ hskp57
| c1_1(a662) ) ).

cnf(clause92,negated_conjecture,
( ~ hskp57
| c2_1(a662) ) ).

cnf(clause93,negated_conjecture,
( ~ hskp56
| c2_1(a658) ) ).

cnf(clause94,negated_conjecture,
( ~ hskp56
| c3_1(a658) ) ).

cnf(clause95,negated_conjecture,
( ~ hskp55
| c3_1(a653) ) ).

cnf(clause96,negated_conjecture,
( ~ hskp55
| c1_1(a653) ) ).

cnf(clause97,negated_conjecture,
( ~ hskp54
| c3_1(a651) ) ).

cnf(clause98,negated_conjecture,
( ~ hskp54
| c2_1(a651) ) ).

cnf(clause99,negated_conjecture,
( ~ hskp53
| c3_1(a648) ) ).

cnf(clause100,negated_conjecture,
( ~ hskp53
| c0_1(a648) ) ).

cnf(clause101,negated_conjecture,
( ~ hskp52
| c0_1(a647) ) ).

cnf(clause102,negated_conjecture,
( ~ hskp51
| c2_1(a644) ) ).

cnf(clause103,negated_conjecture,
( ~ hskp51
| c0_1(a644) ) ).

cnf(clause104,negated_conjecture,
( ~ hskp50
| c1_1(a640) ) ).

cnf(clause105,negated_conjecture,
( ~ hskp50
| c0_1(a640) ) ).

cnf(clause106,negated_conjecture,
( ~ hskp49
| c1_1(a639) ) ).

cnf(clause107,negated_conjecture,
( ~ hskp48
| c1_1(a638) ) ).

cnf(clause108,negated_conjecture,
( ~ hskp48
| c2_1(a638) ) ).

cnf(clause109,negated_conjecture,
( ~ hskp47
| c3_1(a636) ) ).

cnf(clause110,negated_conjecture,
( ~ hskp46
| c1_1(a626) ) ).

cnf(clause111,negated_conjecture,
( ~ hskp46
| c0_1(a626) ) ).

cnf(clause112,negated_conjecture,
( ~ hskp46
| c3_1(a626) ) ).

cnf(clause113,negated_conjecture,
( ~ hskp45
| c3_1(a623) ) ).

cnf(clause114,negated_conjecture,
( ~ hskp45
| c2_1(a623) ) ).

cnf(clause115,negated_conjecture,
( ~ hskp44
| c2_1(a621) ) ).

cnf(clause116,negated_conjecture,
( ~ hskp44
| c3_1(a621) ) ).

cnf(clause117,negated_conjecture,
( ~ hskp43
| c0_1(a619) ) ).

cnf(clause118,negated_conjecture,
( ~ hskp42
| c1_1(a618) ) ).

cnf(clause119,negated_conjecture,
( ~ hskp41
| c2_1(a617) ) ).

cnf(clause120,negated_conjecture,
( ~ hskp41
| c3_1(a617) ) ).

cnf(clause121,negated_conjecture,
( ~ hskp40
| c2_1(a614) ) ).

cnf(clause122,negated_conjecture,
( ~ hskp40
| c1_1(a614) ) ).

cnf(clause123,negated_conjecture,
( ~ hskp40
| c0_1(a614) ) ).

cnf(clause124,negated_conjecture,
( ~ hskp39
| c3_1(a611) ) ).

cnf(clause125,negated_conjecture,
( ~ hskp39
| c2_1(a611) ) ).

cnf(clause126,negated_conjecture,
( ~ hskp38
| c1_1(a608) ) ).

cnf(clause127,negated_conjecture,
( ~ hskp38
| c3_1(a608) ) ).

cnf(clause128,negated_conjecture,
( ~ hskp38
| c0_1(a608) ) ).

cnf(clause129,negated_conjecture,
( ~ hskp37
| c1_1(a607) ) ).

cnf(clause130,negated_conjecture,
( ~ hskp37
| c0_1(a607) ) ).

cnf(clause131,negated_conjecture,
( ~ hskp36
| c1_1(a605) ) ).

cnf(clause132,negated_conjecture,
( ~ hskp36
| c0_1(a605) ) ).

cnf(clause133,negated_conjecture,
( ~ hskp35
| c2_1(a602) ) ).

cnf(clause134,negated_conjecture,
( ~ hskp34
| c2_1(a600) ) ).

cnf(clause135,negated_conjecture,
( ~ hskp34
| c0_1(a600) ) ).

cnf(clause136,negated_conjecture,
( ~ hskp33
| c0_1(a599) ) ).

cnf(clause137,negated_conjecture,
( ~ hskp33
| c3_1(a599) ) ).

cnf(clause138,negated_conjecture,
( ~ hskp32
| c0_1(a677) ) ).

cnf(clause139,negated_conjecture,
( ~ hskp31
| c1_1(a667) ) ).

cnf(clause140,negated_conjecture,
( ~ hskp30
| c0_1(a666) ) ).

cnf(clause141,negated_conjecture,
( ~ hskp28
| c1_1(a656) ) ).

cnf(clause142,negated_conjecture,
( ~ hskp26
| c3_1(a652) ) ).

cnf(clause143,negated_conjecture,
( ~ hskp25
| c3_1(a646) ) ).

cnf(clause144,negated_conjecture,
( ~ hskp24
| c3_1(a643) ) ).

cnf(clause145,negated_conjecture,
( ~ hskp23
| c2_1(a642) ) ).

cnf(clause146,negated_conjecture,
( ~ hskp23
| c3_1(a642) ) ).

cnf(clause147,negated_conjecture,
( ~ hskp22
| c0_1(a641) ) ).

cnf(clause148,negated_conjecture,
( ~ hskp21
| c1_1(a637) ) ).

cnf(clause149,negated_conjecture,
( ~ hskp21
| c0_1(a637) ) ).

cnf(clause150,negated_conjecture,
( ~ hskp18
| c0_1(a632) ) ).

cnf(clause151,negated_conjecture,
( ~ hskp18
| c3_1(a632) ) ).

cnf(clause152,negated_conjecture,
( ~ hskp17
| c3_1(a628) ) ).

cnf(clause153,negated_conjecture,
( ~ hskp16
| c2_1(a627) ) ).

cnf(clause154,negated_conjecture,
( ~ hskp16
| c0_1(a627) ) ).

cnf(clause155,negated_conjecture,
( ~ hskp14
| c3_1(a624) ) ).

cnf(clause156,negated_conjecture,
( ~ hskp11
| c0_1(a616) ) ).

cnf(clause157,negated_conjecture,
( ~ hskp11
| c1_1(a616) ) ).

cnf(clause158,negated_conjecture,
( ~ hskp10
| c0_1(a615) ) ).

cnf(clause159,negated_conjecture,
( ~ hskp10
| c3_1(a615) ) ).

cnf(clause160,negated_conjecture,
( ~ hskp9
| c1_1(a613) ) ).

cnf(clause161,negated_conjecture,
( ~ hskp9
| c2_1(a613) ) ).

cnf(clause162,negated_conjecture,
( ~ hskp8
| c3_1(a612) ) ).

cnf(clause163,negated_conjecture,
( ~ hskp7
| c1_1(a610) ) ).

cnf(clause164,negated_conjecture,
( ~ hskp6
| c2_1(a609) ) ).

cnf(clause165,negated_conjecture,
( ~ hskp5
| c2_1(a606) ) ).

cnf(clause166,negated_conjecture,
( ~ hskp3
| c0_1(a603) ) ).

cnf(clause167,negated_conjecture,
( ~ hskp2
| c0_1(a601) ) ).

cnf(clause168,negated_conjecture,
( ~ hskp1
| c0_1(a598) ) ).

cnf(clause169,negated_conjecture,
( ~ hskp1
| c2_1(a598) ) ).

cnf(clause170,negated_conjecture,
( ~ hskp0
| c0_1(a597) ) ).

cnf(clause171,negated_conjecture,
( ~ c2_1(a675)
| ~ hskp66 ) ).

cnf(clause172,negated_conjecture,
( ~ c1_1(a674)
| ~ hskp65 ) ).

cnf(clause173,negated_conjecture,
( ~ c0_1(a673)
| ~ hskp64 ) ).

cnf(clause174,negated_conjecture,
( ~ c0_1(a672)
| ~ hskp63 ) ).

cnf(clause175,negated_conjecture,
( ~ c2_1(a672)
| ~ hskp63 ) ).

cnf(clause176,negated_conjecture,
( ~ c1_1(a671)
| ~ hskp62 ) ).

cnf(clause177,negated_conjecture,
( ~ c1_1(a670)
| ~ hskp61 ) ).

cnf(clause178,negated_conjecture,
( ~ c0_1(a670)
| ~ hskp61 ) ).

cnf(clause179,negated_conjecture,
( ~ c2_1(a669)
| ~ hskp60 ) ).

cnf(clause180,negated_conjecture,
( ~ c0_1(a665)
| ~ hskp59 ) ).

cnf(clause181,negated_conjecture,
( ~ c0_1(a663)
| ~ hskp58 ) ).

cnf(clause182,negated_conjecture,
( ~ c1_1(a663)
| ~ hskp58 ) ).

cnf(clause183,negated_conjecture,
( ~ c0_1(a662)
| ~ hskp57 ) ).

cnf(clause184,negated_conjecture,
( ~ c1_1(a658)
| ~ hskp56 ) ).

cnf(clause185,negated_conjecture,
( ~ c2_1(a653)
| ~ hskp55 ) ).

cnf(clause186,negated_conjecture,
( ~ c0_1(a651)
| ~ hskp54 ) ).

cnf(clause187,negated_conjecture,
( ~ c2_1(a648)
| ~ hskp53 ) ).

cnf(clause188,negated_conjecture,
( ~ c2_1(a647)
| ~ hskp52 ) ).

cnf(clause189,negated_conjecture,
( ~ c1_1(a647)
| ~ hskp52 ) ).

cnf(clause190,negated_conjecture,
( ~ c3_1(a644)
| ~ hskp51 ) ).

cnf(clause191,negated_conjecture,
( ~ c3_1(a640)
| ~ hskp50 ) ).

cnf(clause192,negated_conjecture,
( ~ c2_1(a639)
| ~ hskp49 ) ).

cnf(clause193,negated_conjecture,
( ~ c0_1(a639)
| ~ hskp49 ) ).

cnf(clause194,negated_conjecture,
( ~ c3_1(a638)
| ~ hskp48 ) ).

cnf(clause195,negated_conjecture,
( ~ c1_1(a636)
| ~ hskp47 ) ).

cnf(clause196,negated_conjecture,
( ~ c0_1(a636)
| ~ hskp47 ) ).

cnf(clause197,negated_conjecture,
( ~ c0_1(a623)
| ~ hskp45 ) ).

cnf(clause198,negated_conjecture,
( ~ c0_1(a621)
| ~ hskp44 ) ).

cnf(clause199,negated_conjecture,
( ~ c3_1(a619)
| ~ hskp43 ) ).

cnf(clause200,negated_conjecture,
( ~ c1_1(a619)
| ~ hskp43 ) ).

cnf(clause201,negated_conjecture,
( ~ c2_1(a618)
| ~ hskp42 ) ).

cnf(clause202,negated_conjecture,
( ~ c3_1(a618)
| ~ hskp42 ) ).

cnf(clause203,negated_conjecture,
( ~ c1_1(a617)
| ~ hskp41 ) ).

cnf(clause204,negated_conjecture,
( ~ c1_1(a611)
| ~ hskp39 ) ).

cnf(clause205,negated_conjecture,
( ~ c2_1(a607)
| ~ hskp37 ) ).

cnf(clause206,negated_conjecture,
( ~ c3_1(a605)
| ~ hskp36 ) ).

cnf(clause207,negated_conjecture,
( ~ c3_1(a602)
| ~ hskp35 ) ).

cnf(clause208,negated_conjecture,
( ~ c1_1(a602)
| ~ hskp35 ) ).

cnf(clause209,negated_conjecture,
( ~ c3_1(a600)
| ~ hskp34 ) ).

cnf(clause210,negated_conjecture,
( ~ c2_1(a599)
| ~ hskp33 ) ).

cnf(clause211,negated_conjecture,
( ~ c3_1(a677)
| ~ hskp32 ) ).

cnf(clause212,negated_conjecture,
( ~ c2_1(a677)
| ~ hskp32 ) ).

cnf(clause213,negated_conjecture,
( ~ c2_1(a667)
| ~ hskp31 ) ).

cnf(clause214,negated_conjecture,
( ~ c0_1(a667)
| ~ hskp31 ) ).

cnf(clause215,negated_conjecture,
( ~ c2_1(a666)
| ~ hskp30 ) ).

cnf(clause216,negated_conjecture,
( ~ c3_1(a666)
| ~ hskp30 ) ).

cnf(clause217,negated_conjecture,
( ~ c1_1(a660)
| ~ hskp29 ) ).

cnf(clause218,negated_conjecture,
( ~ c3_1(a660)
| ~ hskp29 ) ).

cnf(clause219,negated_conjecture,
( ~ c0_1(a660)
| ~ hskp29 ) ).

cnf(clause220,negated_conjecture,
( ~ c3_1(a656)
| ~ hskp28 ) ).

cnf(clause221,negated_conjecture,
( ~ c0_1(a656)
| ~ hskp28 ) ).

cnf(clause222,negated_conjecture,
( ~ c3_1(a654)
| ~ hskp27 ) ).

cnf(clause223,negated_conjecture,
( ~ c0_1(a654)
| ~ hskp27 ) ).

cnf(clause224,negated_conjecture,
( ~ c1_1(a654)
| ~ hskp27 ) ).

cnf(clause225,negated_conjecture,
( ~ c1_1(a652)
| ~ hskp26 ) ).

cnf(clause226,negated_conjecture,
( ~ c2_1(a652)
| ~ hskp26 ) ).

cnf(clause227,negated_conjecture,
( ~ c2_1(a646)
| ~ hskp25 ) ).

cnf(clause228,negated_conjecture,
( ~ c0_1(a646)
| ~ hskp25 ) ).

cnf(clause229,negated_conjecture,
( ~ c0_1(a643)
| ~ hskp24 ) ).

cnf(clause230,negated_conjecture,
( ~ c1_1(a643)
| ~ hskp24 ) ).

cnf(clause231,negated_conjecture,
( ~ c0_1(a642)
| ~ hskp23 ) ).

cnf(clause232,negated_conjecture,
( ~ c1_1(a641)
| ~ hskp22 ) ).

cnf(clause233,negated_conjecture,
( ~ c2_1(a641)
| ~ hskp22 ) ).

cnf(clause234,negated_conjecture,
( ~ c3_1(a637)
| ~ hskp21 ) ).

cnf(clause235,negated_conjecture,
( ~ c1_1(a635)
| ~ hskp20 ) ).

cnf(clause236,negated_conjecture,
( ~ c2_1(a635)
| ~ hskp20 ) ).

cnf(clause237,negated_conjecture,
( ~ c3_1(a635)
| ~ hskp20 ) ).

cnf(clause238,negated_conjecture,
( ~ c1_1(a634)
| ~ hskp19 ) ).

cnf(clause239,negated_conjecture,
( ~ c0_1(a634)
| ~ hskp19 ) ).

cnf(clause240,negated_conjecture,
( ~ c3_1(a634)
| ~ hskp19 ) ).

cnf(clause241,negated_conjecture,
( ~ c1_1(a632)
| ~ hskp18 ) ).

cnf(clause242,negated_conjecture,
( ~ c2_1(a628)
| ~ hskp17 ) ).

cnf(clause243,negated_conjecture,
( ~ c1_1(a628)
| ~ hskp17 ) ).

cnf(clause244,negated_conjecture,
( ~ c3_1(a627)
| ~ hskp16 ) ).

cnf(clause245,negated_conjecture,
( ~ c2_1(a625)
| ~ hskp15 ) ).

cnf(clause246,negated_conjecture,
( ~ c1_1(a625)
| ~ hskp15 ) ).

cnf(clause247,negated_conjecture,
( ~ c0_1(a625)
| ~ hskp15 ) ).

cnf(clause248,negated_conjecture,
( ~ c1_1(a624)
| ~ hskp14 ) ).

cnf(clause249,negated_conjecture,
( ~ c2_1(a624)
| ~ hskp14 ) ).

cnf(clause250,negated_conjecture,
( ~ c1_1(a622)
| ~ hskp13 ) ).

cnf(clause251,negated_conjecture,
( ~ c2_1(a622)
| ~ hskp13 ) ).

cnf(clause252,negated_conjecture,
( ~ c0_1(a622)
| ~ hskp13 ) ).

cnf(clause253,negated_conjecture,
( ~ c0_1(a620)
| ~ hskp12 ) ).

cnf(clause254,negated_conjecture,
( ~ c3_1(a620)
| ~ hskp12 ) ).

cnf(clause255,negated_conjecture,
( ~ c1_1(a620)
| ~ hskp12 ) ).

cnf(clause256,negated_conjecture,
( ~ c2_1(a616)
| ~ hskp11 ) ).

cnf(clause257,negated_conjecture,
( ~ c2_1(a615)
| ~ hskp10 ) ).

cnf(clause258,negated_conjecture,
( ~ c3_1(a613)
| ~ hskp9 ) ).

cnf(clause259,negated_conjecture,
( ~ c2_1(a612)
| ~ hskp8 ) ).

cnf(clause260,negated_conjecture,
( ~ c1_1(a612)
| ~ hskp8 ) ).

cnf(clause261,negated_conjecture,
( ~ c2_1(a610)
| ~ hskp7 ) ).

cnf(clause262,negated_conjecture,
( ~ c0_1(a610)
| ~ hskp7 ) ).

cnf(clause263,negated_conjecture,
( ~ c0_1(a609)
| ~ hskp6 ) ).

cnf(clause264,negated_conjecture,
( ~ c1_1(a609)
| ~ hskp6 ) ).

cnf(clause265,negated_conjecture,
( ~ c0_1(a606)
| ~ hskp5 ) ).

cnf(clause266,negated_conjecture,
( ~ c3_1(a606)
| ~ hskp5 ) ).

cnf(clause267,negated_conjecture,
( ~ c2_1(a604)
| ~ hskp4 ) ).

cnf(clause268,negated_conjecture,
( ~ c0_1(a604)
| ~ hskp4 ) ).

cnf(clause269,negated_conjecture,
( ~ c3_1(a604)
| ~ hskp4 ) ).

cnf(clause270,negated_conjecture,
( ~ c1_1(a603)
| ~ hskp3 ) ).

cnf(clause271,negated_conjecture,
( ~ c3_1(a603)
| ~ hskp3 ) ).

cnf(clause272,negated_conjecture,
( ~ c2_1(a601)
| ~ hskp2 ) ).

cnf(clause273,negated_conjecture,
( ~ c3_1(a601)
| ~ hskp2 ) ).

cnf(clause274,negated_conjecture,
( ~ c1_1(a598)
| ~ hskp1 ) ).

cnf(clause275,negated_conjecture,
( ~ c3_1(a597)
| ~ hskp0 ) ).

cnf(clause276,negated_conjecture,
( ~ c1_1(a597)
| ~ hskp0 ) ).

cnf(clause277,negated_conjecture,
( ~ ndr1_0
| c2_1(U)
| c1_1(U)
| c3_1(U)
| hskp8
| hskp9 ) ).

cnf(clause278,negated_conjecture,
( ~ ndr1_0
| c3_1(U)
| c2_1(U)
| c1_1(U)
| hskp50
| hskp22 ) ).

cnf(clause279,negated_conjecture,
( ~ ndr1_0
| c1_1(U)
| c3_1(U)
| c2_1(U)
| hskp62
| hskp63 ) ).

cnf(clause280,negated_conjecture,
( ~ c3_1(U)
| ~ ndr1_0
| c0_1(U)
| c1_1(U)
| hskp0
| hskp1 ) ).

cnf(clause281,negated_conjecture,
( ~ c1_1(U)
| ~ ndr1_0
| c3_1(U)
| c2_1(U)
| hskp40
| hskp10 ) ).

cnf(clause282,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| c1_1(U)
| c3_1(U)
| hskp47
| hskp21 ) ).

cnf(clause283,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| c1_1(U)
| c3_1(U)
| hskp48
| hskp49 ) ).

cnf(clause284,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| c3_1(U)
| c2_1(U)
| hskp25
| hskp52 ) ).

cnf(clause285,negated_conjecture,
( ~ c3_1(U)
| ~ ndr1_0
| c0_1(U)
| c1_1(U)
| hskp53
| hskp17 ) ).

cnf(clause286,negated_conjecture,
( ~ c2_1(U)
| ~ ndr1_0
| c3_1(U)
| c0_1(U)
| hskp37
| hskp54 ) ).

cnf(clause287,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| c1_1(U)
| c2_1(U)
| hskp26
| hskp55 ) ).

cnf(clause288,negated_conjecture,
( ~ c3_1(U)
| ~ ndr1_0
| c0_1(U)
| c2_1(U)
| hskp3
| hskp29 ) ).

cnf(clause289,negated_conjecture,
( ~ c0_1(U)
| ~ c3_1(U)
| ~ c1_1(U)
| ~ ndr1_0
| hskp6 ) ).

cnf(clause290,negated_conjecture,
( ~ c1_1(U)
| ~ c0_1(U)
| ~ ndr1_0
| c2_1(U)
| hskp7
| hskp39 ) ).

cnf(clause291,negated_conjecture,
( ~ c3_1(U)
| ~ c1_1(U)
| ~ ndr1_0
| c2_1(U)
| hskp43
| hskp12 ) ).

cnf(clause292,negated_conjecture,
( ~ c2_1(U)
| ~ c1_1(U)
| ~ ndr1_0
| c0_1(U)
| hskp44
| hskp13 ) ).

cnf(clause293,negated_conjecture,
( ~ c2_1(U)
| ~ c0_1(U)
| ~ ndr1_0
| c1_1(U)
| hskp14
| hskp15 ) ).

cnf(clause294,negated_conjecture,
( ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| c1_1(U)
| hskp23
| hskp24 ) ).

cnf(clause295,negated_conjecture,
( ~ c3_1(U)
| ~ c0_1(U)
| ~ ndr1_0
| c2_1(U)
| hskp58
| hskp41 ) ).

cnf(clause296,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| c1_1(U)
| hskp32
| hskp30 ) ).

cnf(clause297,negated_conjecture,
( ~ ndr1_0
| c0_1(U)
| c0_1(V)
| c2_1(U)
| c3_1(V)
| c1_1(V)
| c3_1(U) ) ).

cnf(clause298,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| hskp5
| hskp37 ) ).

cnf(clause299,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(U)
| c0_1(U)
| c1_1(V)
| c2_1(V)
| c3_1(U)
| c3_1(V) ) ).

cnf(clause300,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(U)
| c3_1(V)
| c0_1(V)
| c1_1(V)
| c0_1(U)
| c1_1(U)
| hskp42 ) ).

cnf(clause301,negated_conjecture,
( ~ c2_1(U)
| ~ c1_1(V)
| ~ ndr1_0
| ~ c2_1(V)
| c0_1(U)
| c3_1(U)
| c0_1(V) ) ).

cnf(clause302,negated_conjecture,
( ~ c3_1(U)
| ~ c1_1(U)
| ~ ndr1_0
| c0_1(U)
| c2_1(V)
| c1_1(V)
| c0_1(V)
| hskp38 ) ).

cnf(clause303,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| c2_1(U)
| c1_1(U)
| c0_1(V)
| c1_1(V)
| hskp42 ) ).

cnf(clause304,negated_conjecture,
( ~ c1_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| c0_1(U)
| c1_1(V)
| c0_1(V)
| c3_1(V)
| hskp51 ) ).

cnf(clause305,negated_conjecture,
( ~ c2_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| c3_1(U)
| c0_1(U)
| c2_1(V)
| c1_1(V)
| hskp55 ) ).

cnf(clause306,negated_conjecture,
( ~ c1_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| c2_1(U)
| c3_1(U)
| c2_1(V)
| c1_1(V)
| hskp56 ) ).

cnf(clause307,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(U)
| ~ c1_1(U)
| ~ c2_1(U)
| c2_1(V)
| c1_1(V)
| c3_1(V)
| hskp11 ) ).

cnf(clause308,negated_conjecture,
( ~ c1_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| ~ c2_1(V)
| c2_1(U)
| c3_1(U)
| c0_1(V)
| hskp45 ) ).

cnf(clause309,negated_conjecture,
( ~ c0_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| c1_1(U)
| c2_1(V)
| c3_1(V)
| hskp46 ) ).

cnf(clause310,negated_conjecture,
( ~ c2_1(U)
| ~ c0_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| c3_1(U)
| c2_1(V)
| c0_1(V)
| hskp16 ) ).

cnf(clause311,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| ~ c3_1(V)
| c3_1(U)
| c2_1(U)
| c1_1(V)
| hskp20 ) ).

cnf(clause312,negated_conjecture,
( ~ c3_1(U)
| ~ ndr1_0
| ~ c0_1(V)
| ~ c1_1(V)
| c2_1(U)
| c1_1(U)
| c2_1(V)
| hskp5 ) ).

cnf(clause313,negated_conjecture,
( ~ c3_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| ~ c0_1(V)
| c1_1(U)
| c0_1(U)
| c1_1(V)
| hskp55 ) ).

cnf(clause314,negated_conjecture,
( ~ c1_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| ~ c0_1(V)
| c2_1(U)
| c2_1(V)
| hskp41 ) ).

cnf(clause315,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c0_1(V)
| c1_1(V)
| c2_1(V)
| hskp36 ) ).

cnf(clause316,negated_conjecture,
( ~ c3_1(U)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c0_1(V)
| ~ c2_1(V)
| ~ c2_1(U)
| c1_1(V) ) ).

cnf(clause317,negated_conjecture,
( ~ c2_1(U)
| ~ c0_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| ~ c1_1(V)
| c1_1(U)
| c0_1(V)
| hskp31 ) ).

cnf(clause318,negated_conjecture,
( ~ c0_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c0_1(V)
| ~ c2_1(V)
| ~ c3_1(V)
| c2_1(U)
| hskp35 ) ).

cnf(clause319,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| ~ c0_1(V)
| c1_1(V)
| hskp57 ) ).

cnf(clause320,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(U)
| ~ c2_1(V)
| c0_1(W)
| c1_1(W)
| c2_1(W)
| c1_1(U)
| c3_1(U)
| c0_1(V)
| c1_1(V) ) ).

cnf(clause321,negated_conjecture,
( ~ c3_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| c1_1(U)
| c0_1(V)
| c1_1(V)
| c3_1(W)
| c1_1(W)
| c0_1(W) ) ).

cnf(clause322,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(U)
| ~ c0_1(U)
| ~ c3_1(V)
| ~ c0_1(V)
| c3_1(W)
| c0_1(W)
| c2_1(W)
| c1_1(U)
| c2_1(V) ) ).

cnf(clause323,negated_conjecture,
( ~ c1_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| ~ c0_1(V)
| c0_1(U)
| c2_1(V)
| c3_1(W)
| c2_1(W)
| c0_1(W) ) ).

cnf(clause324,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| ~ c2_1(V)
| ~ c0_1(W)
| c1_1(U)
| c0_1(V)
| c2_1(W)
| c1_1(W) ) ).

cnf(clause325,negated_conjecture,
( ~ c3_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| ~ c0_1(V)
| ~ c3_1(W)
| c0_1(U)
| c1_1(V)
| c1_1(W)
| c2_1(W) ) ).

cnf(clause326,negated_conjecture,
( ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| ~ c2_1(W)
| ~ c1_1(W)
| c1_1(U)
| c1_1(V)
| c0_1(V)
| c0_1(W) ) ).

cnf(clause327,negated_conjecture,
( ~ c1_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| ~ c3_1(V)
| ~ c3_1(W)
| ~ c0_1(W)
| c3_1(U)
| c0_1(V)
| c2_1(W) ) ).

cnf(clause328,negated_conjecture,
( ~ c3_1(U)
| ~ c0_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| ~ c0_1(V)
| ~ c2_1(W)
| ~ c0_1(W)
| ~ c1_1(W)
| c3_1(V) ) ).

%--------------------------------------------------------------------------
```