## TPTP Problem File: SYN479-1.p

View Solutions - Solve Problem

```%--------------------------------------------------------------------------
% File     : SYN479-1 : TPTP v8.1.0. Released v2.1.0.
% Domain   : Syntactic (Translated)
% Problem  : ALC, N=4, R=1, L=76, K=3, D=1, P=0, Index=012
% 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-4-1-76-3-1-012.cnf [Wei97]

% Status   : Unsatisfiable
% Rating   : 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 v5.4.0, 0.33 v5.3.0, 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 v3.1.0, 0.11 v2.7.0, 0.50 v2.6.0, 0.56 v2.5.0, 0.00 v2.4.0, 0.25 v2.3.0, 0.33 v2.2.1, 0.00 v2.2.0, 0.67 v2.1.0
% Syntax   : Number of clauses     :  200 (   0 unt;  76 nHn; 188 RR)
%            Number of literals    :  784 (   0 equ; 419 neg)
%            Maximal clause size   :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   36 (  36 usr;  32 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  121 (   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,
( hskp30
| hskp24 ) ).

cnf(clause2,negated_conjecture,
( ~ hskp30
| ndr1_0 ) ).

cnf(clause3,negated_conjecture,
( ~ hskp29
| ndr1_0 ) ).

cnf(clause4,negated_conjecture,
( ~ hskp28
| ndr1_0 ) ).

cnf(clause5,negated_conjecture,
( ~ hskp27
| ndr1_0 ) ).

cnf(clause6,negated_conjecture,
( ~ hskp26
| ndr1_0 ) ).

cnf(clause7,negated_conjecture,
( ~ hskp25
| ndr1_0 ) ).

cnf(clause8,negated_conjecture,
( ~ hskp24
| ndr1_0 ) ).

cnf(clause9,negated_conjecture,
( ~ hskp23
| ndr1_0 ) ).

cnf(clause10,negated_conjecture,
( ~ hskp22
| ndr1_0 ) ).

cnf(clause11,negated_conjecture,
( ~ hskp21
| ndr1_0 ) ).

cnf(clause12,negated_conjecture,
( ~ hskp20
| ndr1_0 ) ).

cnf(clause13,negated_conjecture,
( ~ hskp19
| ndr1_0 ) ).

cnf(clause14,negated_conjecture,
( ~ hskp18
| ndr1_0 ) ).

cnf(clause15,negated_conjecture,
( ~ hskp17
| ndr1_0 ) ).

cnf(clause16,negated_conjecture,
( ~ hskp16
| ndr1_0 ) ).

cnf(clause17,negated_conjecture,
( ~ hskp15
| ndr1_0 ) ).

cnf(clause18,negated_conjecture,
( ~ hskp14
| ndr1_0 ) ).

cnf(clause19,negated_conjecture,
( ~ hskp13
| ndr1_0 ) ).

cnf(clause20,negated_conjecture,
( ~ hskp12
| ndr1_0 ) ).

cnf(clause21,negated_conjecture,
( ~ hskp11
| ndr1_0 ) ).

cnf(clause22,negated_conjecture,
( ~ hskp10
| ndr1_0 ) ).

cnf(clause23,negated_conjecture,
( ~ hskp9
| ndr1_0 ) ).

cnf(clause24,negated_conjecture,
( ~ hskp8
| ndr1_0 ) ).

cnf(clause25,negated_conjecture,
( ~ hskp7
| ndr1_0 ) ).

cnf(clause26,negated_conjecture,
( ~ hskp6
| ndr1_0 ) ).

cnf(clause27,negated_conjecture,
( ~ hskp5
| ndr1_0 ) ).

cnf(clause28,negated_conjecture,
( ~ hskp4
| ndr1_0 ) ).

cnf(clause29,negated_conjecture,
( ~ hskp3
| ndr1_0 ) ).

cnf(clause30,negated_conjecture,
( ~ hskp2
| ndr1_0 ) ).

cnf(clause31,negated_conjecture,
( ~ hskp1
| ndr1_0 ) ).

cnf(clause32,negated_conjecture,
( ~ hskp0
| ndr1_0 ) ).

cnf(clause33,negated_conjecture,
( hskp30
| hskp8
| hskp3 ) ).

cnf(clause34,negated_conjecture,
( hskp15
| hskp27
| hskp13 ) ).

cnf(clause35,negated_conjecture,
( hskp0
| hskp29
| hskp26 ) ).

cnf(clause36,negated_conjecture,
( hskp8
| hskp12
| hskp14 ) ).

cnf(clause37,negated_conjecture,
( hskp8
| hskp14
| hskp19 ) ).

cnf(clause38,negated_conjecture,
( hskp12
| hskp10
| hskp1 ) ).

cnf(clause39,negated_conjecture,
( hskp25
| hskp2
| hskp17 ) ).

cnf(clause40,negated_conjecture,
( hskp22
| hskp3
| hskp17 ) ).

cnf(clause41,negated_conjecture,
( ~ hskp30
| c0_1(a1507) ) ).

cnf(clause42,negated_conjecture,
( ~ hskp30
| c1_1(a1507) ) ).

cnf(clause43,negated_conjecture,
( ~ hskp30
| c2_1(a1507) ) ).

cnf(clause44,negated_conjecture,
( ~ hskp29
| c1_1(a1483) ) ).

cnf(clause45,negated_conjecture,
( ~ hskp29
| c2_1(a1483) ) ).

cnf(clause46,negated_conjecture,
( ~ hskp29
| c3_1(a1483) ) ).

cnf(clause47,negated_conjecture,
( ~ hskp28
| c0_1(a1456) ) ).

cnf(clause48,negated_conjecture,
( ~ hskp28
| c1_1(a1456) ) ).

cnf(clause49,negated_conjecture,
( ~ hskp28
| c3_1(a1456) ) ).

cnf(clause50,negated_conjecture,
( ~ hskp27
| c0_1(a1428) ) ).

cnf(clause51,negated_conjecture,
( ~ hskp27
| c2_1(a1428) ) ).

cnf(clause52,negated_conjecture,
( ~ hskp27
| c3_1(a1428) ) ).

cnf(clause53,negated_conjecture,
( ~ hskp26
| c2_1(a1517) ) ).

cnf(clause54,negated_conjecture,
( ~ hskp25
| c1_1(a1504) ) ).

cnf(clause55,negated_conjecture,
( ~ hskp25
| c2_1(a1504) ) ).

cnf(clause56,negated_conjecture,
( ~ hskp24
| c3_1(a1487) ) ).

cnf(clause57,negated_conjecture,
( ~ hskp23
| c2_1(a1477) ) ).

cnf(clause58,negated_conjecture,
( ~ hskp22
| c1_1(a1468) ) ).

cnf(clause59,negated_conjecture,
( ~ hskp22
| c3_1(a1468) ) ).

cnf(clause60,negated_conjecture,
( ~ hskp21
| c0_1(a1466) ) ).

cnf(clause61,negated_conjecture,
( ~ hskp21
| c2_1(a1466) ) ).

cnf(clause62,negated_conjecture,
( ~ hskp20
| c2_1(a1465) ) ).

cnf(clause63,negated_conjecture,
( ~ hskp20
| c3_1(a1465) ) ).

cnf(clause64,negated_conjecture,
( ~ hskp18
| c0_1(a1458) ) ).

cnf(clause65,negated_conjecture,
( ~ hskp18
| c1_1(a1458) ) ).

cnf(clause66,negated_conjecture,
( ~ hskp16
| c1_1(a1454) ) ).

cnf(clause67,negated_conjecture,
( ~ hskp15
| c0_1(a1452) ) ).

cnf(clause68,negated_conjecture,
( ~ hskp15
| c1_1(a1452) ) ).

cnf(clause69,negated_conjecture,
( ~ hskp14
| c2_1(a1451) ) ).

cnf(clause70,negated_conjecture,
( ~ hskp13
| c1_1(a1449) ) ).

cnf(clause71,negated_conjecture,
( ~ hskp13
| c2_1(a1449) ) ).

cnf(clause72,negated_conjecture,
( ~ hskp12
| c0_1(a1448) ) ).

cnf(clause73,negated_conjecture,
( ~ hskp12
| c3_1(a1448) ) ).

cnf(clause74,negated_conjecture,
( ~ hskp10
| c0_1(a1445) ) ).

cnf(clause75,negated_conjecture,
( ~ hskp8
| c0_1(a1441) ) ).

cnf(clause76,negated_conjecture,
( ~ hskp8
| c3_1(a1441) ) ).

cnf(clause77,negated_conjecture,
( ~ hskp7
| c3_1(a1438) ) ).

cnf(clause78,negated_conjecture,
( ~ hskp6
| c0_1(a1437) ) ).

cnf(clause79,negated_conjecture,
( ~ hskp5
| c0_1(a1435) ) ).

cnf(clause80,negated_conjecture,
( ~ hskp4
| c1_1(a1434) ) ).

cnf(clause81,negated_conjecture,
( ~ hskp4
| c3_1(a1434) ) ).

cnf(clause82,negated_conjecture,
( ~ hskp3
| c1_1(a1431) ) ).

cnf(clause83,negated_conjecture,
( ~ hskp2
| c3_1(a1430) ) ).

cnf(clause84,negated_conjecture,
( ~ hskp1
| c2_1(a1429) ) ).

cnf(clause85,negated_conjecture,
( ~ hskp1
| c3_1(a1429) ) ).

cnf(clause86,negated_conjecture,
( ~ hskp0
| c0_1(a1427) ) ).

cnf(clause87,negated_conjecture,
( ~ hskp0
| c2_1(a1427) ) ).

cnf(clause88,negated_conjecture,
( ~ c0_1(a1517)
| ~ hskp26 ) ).

cnf(clause89,negated_conjecture,
( ~ c3_1(a1517)
| ~ hskp26 ) ).

cnf(clause90,negated_conjecture,
( ~ c0_1(a1504)
| ~ hskp25 ) ).

cnf(clause91,negated_conjecture,
( ~ c1_1(a1487)
| ~ hskp24 ) ).

cnf(clause92,negated_conjecture,
( ~ c2_1(a1487)
| ~ hskp24 ) ).

cnf(clause93,negated_conjecture,
( ~ c0_1(a1477)
| ~ hskp23 ) ).

cnf(clause94,negated_conjecture,
( ~ c1_1(a1477)
| ~ hskp23 ) ).

cnf(clause95,negated_conjecture,
( ~ c0_1(a1468)
| ~ hskp22 ) ).

cnf(clause96,negated_conjecture,
( ~ c1_1(a1466)
| ~ hskp21 ) ).

cnf(clause97,negated_conjecture,
( ~ c1_1(a1465)
| ~ hskp20 ) ).

cnf(clause98,negated_conjecture,
( ~ c0_1(a1460)
| ~ hskp19 ) ).

cnf(clause99,negated_conjecture,
( ~ c1_1(a1460)
| ~ hskp19 ) ).

cnf(clause100,negated_conjecture,
( ~ c3_1(a1460)
| ~ hskp19 ) ).

cnf(clause101,negated_conjecture,
( ~ c2_1(a1458)
| ~ hskp18 ) ).

cnf(clause102,negated_conjecture,
( ~ c0_1(a1457)
| ~ hskp17 ) ).

cnf(clause103,negated_conjecture,
( ~ c1_1(a1457)
| ~ hskp17 ) ).

cnf(clause104,negated_conjecture,
( ~ c2_1(a1457)
| ~ hskp17 ) ).

cnf(clause105,negated_conjecture,
( ~ c0_1(a1454)
| ~ hskp16 ) ).

cnf(clause106,negated_conjecture,
( ~ c3_1(a1454)
| ~ hskp16 ) ).

cnf(clause107,negated_conjecture,
( ~ c3_1(a1452)
| ~ hskp15 ) ).

cnf(clause108,negated_conjecture,
( ~ c1_1(a1451)
| ~ hskp14 ) ).

cnf(clause109,negated_conjecture,
( ~ c3_1(a1451)
| ~ hskp14 ) ).

cnf(clause110,negated_conjecture,
( ~ c3_1(a1449)
| ~ hskp13 ) ).

cnf(clause111,negated_conjecture,
( ~ c2_1(a1448)
| ~ hskp12 ) ).

cnf(clause112,negated_conjecture,
( ~ c0_1(a1447)
| ~ hskp11 ) ).

cnf(clause113,negated_conjecture,
( ~ c2_1(a1447)
| ~ hskp11 ) ).

cnf(clause114,negated_conjecture,
( ~ c3_1(a1447)
| ~ hskp11 ) ).

cnf(clause115,negated_conjecture,
( ~ c1_1(a1445)
| ~ hskp10 ) ).

cnf(clause116,negated_conjecture,
( ~ c3_1(a1445)
| ~ hskp10 ) ).

cnf(clause117,negated_conjecture,
( ~ c1_1(a1444)
| ~ hskp9 ) ).

cnf(clause118,negated_conjecture,
( ~ c2_1(a1444)
| ~ hskp9 ) ).

cnf(clause119,negated_conjecture,
( ~ c3_1(a1444)
| ~ hskp9 ) ).

cnf(clause120,negated_conjecture,
( ~ c1_1(a1441)
| ~ hskp8 ) ).

cnf(clause121,negated_conjecture,
( ~ c0_1(a1438)
| ~ hskp7 ) ).

cnf(clause122,negated_conjecture,
( ~ c1_1(a1438)
| ~ hskp7 ) ).

cnf(clause123,negated_conjecture,
( ~ c1_1(a1437)
| ~ hskp6 ) ).

cnf(clause124,negated_conjecture,
( ~ c2_1(a1437)
| ~ hskp6 ) ).

cnf(clause125,negated_conjecture,
( ~ c2_1(a1435)
| ~ hskp5 ) ).

cnf(clause126,negated_conjecture,
( ~ c3_1(a1435)
| ~ hskp5 ) ).

cnf(clause127,negated_conjecture,
( ~ c2_1(a1434)
| ~ hskp4 ) ).

cnf(clause128,negated_conjecture,
( ~ c0_1(a1431)
| ~ hskp3 ) ).

cnf(clause129,negated_conjecture,
( ~ c2_1(a1431)
| ~ hskp3 ) ).

cnf(clause130,negated_conjecture,
( ~ c0_1(a1430)
| ~ hskp2 ) ).

cnf(clause131,negated_conjecture,
( ~ c2_1(a1430)
| ~ hskp2 ) ).

cnf(clause132,negated_conjecture,
( ~ c0_1(a1429)
| ~ hskp1 ) ).

cnf(clause133,negated_conjecture,
( ~ c3_1(a1427)
| ~ hskp0 ) ).

cnf(clause134,negated_conjecture,
( ~ ndr1_0
| c0_1(U)
| c1_1(U)
| c2_1(U)
| hskp1
| hskp2 ) ).

cnf(clause135,negated_conjecture,
( ~ ndr1_0
| c0_1(U)
| c2_1(U)
| c3_1(U)
| hskp8
| hskp7 ) ).

cnf(clause136,negated_conjecture,
( ~ c2_1(U)
| ~ ndr1_0
| c0_1(U)
| c1_1(U)
| hskp0
| hskp4 ) ).

cnf(clause137,negated_conjecture,
( ~ c3_1(U)
| ~ ndr1_0
| c0_1(U)
| c1_1(U)
| hskp6
| hskp7 ) ).

cnf(clause138,negated_conjecture,
( ~ c3_1(U)
| ~ ndr1_0
| c0_1(U)
| c2_1(U)
| hskp5
| hskp11 ) ).

cnf(clause139,negated_conjecture,
( ~ c1_1(U)
| ~ ndr1_0
| c0_1(U)
| c3_1(U)
| hskp13
| hskp1 ) ).

cnf(clause140,negated_conjecture,
( ~ c3_1(U)
| ~ ndr1_0
| c1_1(U)
| c2_1(U)
| hskp22
| hskp9 ) ).

cnf(clause141,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| c2_1(U)
| c3_1(U)
| hskp5
| hskp29 ) ).

cnf(clause142,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| c2_1(U)
| c3_1(U)
| hskp4
| hskp7 ) ).

cnf(clause143,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| c2_1(U)
| c3_1(U)
| hskp4
| hskp24 ) ).

cnf(clause144,negated_conjecture,
( ~ c1_1(U)
| ~ ndr1_0
| c2_1(U)
| c3_1(U)
| hskp0
| hskp3 ) ).

cnf(clause145,negated_conjecture,
( ~ c1_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| c0_1(U)
| hskp16
| hskp7 ) ).

cnf(clause146,negated_conjecture,
( ~ c1_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| c0_1(U)
| hskp3
| hskp19 ) ).

cnf(clause147,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| c1_1(U)
| hskp0
| hskp11 ) ).

cnf(clause148,negated_conjecture,
( ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| c1_1(U)
| hskp20
| hskp11 ) ).

cnf(clause149,negated_conjecture,
( ~ c0_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| c2_1(U)
| hskp5
| hskp17 ) ).

cnf(clause150,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ ndr1_0
| c3_1(U)
| hskp22
| hskp3 ) ).

cnf(clause151,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ ndr1_0
| c3_1(U)
| hskp16
| hskp14 ) ).

cnf(clause152,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| c3_1(U)
| hskp12
| hskp11 ) ).

cnf(clause153,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| hskp21
| hskp9 ) ).

cnf(clause154,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| hskp0
| hskp25 ) ).

cnf(clause155,negated_conjecture,
( ~ c1_1(U)
| ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| hskp25
| hskp13 ) ).

cnf(clause156,negated_conjecture,
( ~ ndr1_0
| c1_1(U)
| c2_1(U)
| c3_1(U)
| c0_1(V)
| c2_1(V)
| c3_1(V)
| hskp2 ) ).

cnf(clause157,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| c2_1(U)
| c3_1(U)
| c0_1(V)
| c1_1(V)
| c2_1(V)
| hskp0 ) ).

cnf(clause158,negated_conjecture,
( ~ c1_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| c0_1(U)
| c0_1(V)
| c1_1(V)
| c3_1(V)
| hskp3 ) ).

cnf(clause159,negated_conjecture,
( ~ c2_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| c1_1(U)
| c3_1(U)
| c0_1(V)
| c1_1(V)
| hskp5 ) ).

cnf(clause160,negated_conjecture,
( ~ c1_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| c2_1(U)
| c0_1(V)
| c2_1(V)
| c3_1(V)
| hskp0 ) ).

cnf(clause161,negated_conjecture,
( ~ c2_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| c0_1(U)
| c3_1(U)
| c0_1(V)
| c2_1(V)
| hskp9 ) ).

cnf(clause162,negated_conjecture,
( ~ c1_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| c2_1(U)
| c3_1(U)
| c0_1(V)
| c3_1(V)
| hskp12 ) ).

cnf(clause163,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| c1_1(U)
| c1_1(V)
| c2_1(V)
| c3_1(V)
| hskp17 ) ).

cnf(clause164,negated_conjecture,
( ~ c1_1(U)
| ~ ndr1_0
| ~ c0_1(V)
| c2_1(U)
| c3_1(U)
| c2_1(V)
| c3_1(V)
| hskp18 ) ).

cnf(clause165,negated_conjecture,
( ~ c1_1(U)
| ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| c0_1(V)
| c1_1(V)
| c2_1(V)
| hskp27 ) ).

cnf(clause166,negated_conjecture,
( ~ c1_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| c0_1(U)
| c0_1(V)
| c1_1(V)
| hskp0 ) ).

cnf(clause167,negated_conjecture,
( ~ c0_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| c2_1(U)
| c0_1(V)
| c1_1(V)
| hskp5 ) ).

cnf(clause168,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| c2_1(U)
| c0_1(V)
| c2_1(V)
| hskp10 ) ).

cnf(clause169,negated_conjecture,
( ~ c1_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| c0_1(U)
| c0_1(V)
| c3_1(V)
| hskp14 ) ).

cnf(clause170,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| ~ c2_1(V)
| c1_1(U)
| c3_1(U)
| c0_1(V)
| hskp7 ) ).

cnf(clause171,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| ~ c3_1(V)
| c1_1(U)
| c3_1(U)
| c0_1(V)
| hskp12 ) ).

cnf(clause172,negated_conjecture,
( ~ c1_1(U)
| ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| c1_1(V)
| c2_1(V)
| c3_1(V)
| hskp7 ) ).

cnf(clause173,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ ndr1_0
| ~ c0_1(V)
| c3_1(U)
| c1_1(V)
| c2_1(V)
| hskp20 ) ).

cnf(clause174,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c0_1(V)
| c3_1(U)
| c1_1(V)
| c2_1(V)
| hskp21 ) ).

cnf(clause175,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c0_1(V)
| c3_1(U)
| c1_1(V)
| c2_1(V)
| hskp19 ) ).

cnf(clause176,negated_conjecture,
( ~ c0_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| c2_1(U)
| c1_1(V)
| c2_1(V)
| hskp22 ) ).

cnf(clause177,negated_conjecture,
( ~ c1_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| c2_1(U)
| c2_1(V)
| c3_1(V)
| hskp7 ) ).

cnf(clause178,negated_conjecture,
( ~ c1_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| c3_1(U)
| c2_1(V)
| c3_1(V)
| hskp12 ) ).

cnf(clause179,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| c0_1(V)
| c2_1(V)
| hskp0 ) ).

cnf(clause180,negated_conjecture,
( ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| ~ c2_1(V)
| c0_1(U)
| c0_1(V)
| hskp15 ) ).

cnf(clause181,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| ~ c3_1(V)
| c2_1(U)
| c0_1(V)
| hskp28 ) ).

cnf(clause182,negated_conjecture,
( ~ c0_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| ~ c3_1(V)
| c2_1(U)
| c0_1(V)
| hskp17 ) ).

cnf(clause183,negated_conjecture,
( ~ c1_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| ~ c3_1(V)
| c2_1(U)
| c0_1(V)
| hskp12 ) ).

cnf(clause184,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| c1_1(V)
| c2_1(V)
| hskp6 ) ).

cnf(clause185,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| c1_1(V)
| c3_1(V)
| hskp13 ) ).

cnf(clause186,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| ~ c3_1(V)
| c3_1(U)
| c1_1(V)
| hskp8 ) ).

cnf(clause187,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| ~ c3_1(V)
| c3_1(U)
| c1_1(V)
| hskp23 ) ).

cnf(clause188,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c0_1(V)
| c2_1(V)
| c3_1(V)
| hskp11 ) ).

cnf(clause189,negated_conjecture,
( ~ c1_1(U)
| ~ ndr1_0
| c2_1(U)
| c3_1(U)
| c1_1(V)
| c2_1(V)
| c3_1(V)
| c0_1(W)
| c1_1(W)
| c3_1(W) ) ).

cnf(clause190,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| ~ c3_1(V)
| c0_1(V)
| hskp18 ) ).

cnf(clause191,negated_conjecture,
( ~ c1_1(U)
| ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c0_1(V)
| ~ c3_1(V)
| c1_1(V)
| hskp28 ) ).

cnf(clause192,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| ~ c2_1(V)
| c3_1(V)
| hskp23 ) ).

cnf(clause193,negated_conjecture,
( ~ c2_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| c1_1(U)
| c3_1(U)
| c1_1(W)
| c2_1(W)
| c3_1(W)
| c0_1(V)
| c1_1(V) ) ).

cnf(clause194,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c0_1(V)
| c1_1(U)
| c1_1(V)
| c3_1(V)
| c0_1(W)
| c1_1(W)
| c2_1(W) ) ).

cnf(clause195,negated_conjecture,
( ~ c2_1(U)
| ~ ndr1_0
| ~ c0_1(V)
| ~ c3_1(W)
| c1_1(U)
| c3_1(U)
| c1_1(V)
| c2_1(V)
| c0_1(W)
| c2_1(W) ) ).

cnf(clause196,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| ~ c1_1(W)
| ~ c2_1(W)
| c2_1(U)
| c3_1(U)
| c1_1(V)
| c3_1(V)
| c0_1(W) ) ).

cnf(clause197,negated_conjecture,
( ~ c0_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| ~ c3_1(V)
| ~ c2_1(W)
| c2_1(U)
| c0_1(V)
| c0_1(W)
| c1_1(W) ) ).

cnf(clause198,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| ~ c3_1(V)
| ~ c2_1(W)
| c1_1(V)
| c0_1(W)
| c1_1(W) ) ).

cnf(clause199,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| ~ c3_1(V)
| ~ c3_1(W)
| c1_1(V)
| c1_1(W)
| c2_1(W) ) ).

cnf(clause200,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c0_1(V)
| ~ c1_1(V)
| ~ c3_1(W)
| c3_1(V)
| c1_1(W)
| c2_1(W) ) ).

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