TPTP Problem File: SYN436-1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN436-1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=4, R=1, L=40, K=3, D=1, P=0, Index=078
% 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-4-1-40-3-1-078.cnf [Wei97]
% Status : Unsatisfiable
% Rating : 0.00 v7.0.0, 0.14 v6.4.0, 0.00 v6.2.0, 0.25 v5.5.0, 0.20 v5.4.0, 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 v3.2.0, 0.33 v2.7.0, 0.50 v2.6.0, 0.67 v2.5.0, 0.25 v2.4.0, 0.50 v2.3.0, 0.33 v2.2.1, 0.00 v2.2.0, 0.67 v2.1.0
% Syntax : Number of clauses : 152 ( 0 unt; 40 nHn; 145 RR)
% Number of literals : 502 ( 0 equ; 278 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 33 ( 33 usr; 29 prp; 0-1 aty)
% Number of functors : 28 ( 28 usr; 28 con; 0-0 aty)
% Number of variables : 63 ( 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,
( ~ hskp27
| ndr1_0 ) ).
cnf(clause2,negated_conjecture,
( ~ hskp26
| ndr1_0 ) ).
cnf(clause3,negated_conjecture,
( ~ hskp25
| ndr1_0 ) ).
cnf(clause4,negated_conjecture,
( ~ hskp24
| ndr1_0 ) ).
cnf(clause5,negated_conjecture,
( ~ hskp23
| ndr1_0 ) ).
cnf(clause6,negated_conjecture,
( ~ hskp22
| ndr1_0 ) ).
cnf(clause7,negated_conjecture,
( ~ hskp21
| ndr1_0 ) ).
cnf(clause8,negated_conjecture,
( ~ hskp20
| ndr1_0 ) ).
cnf(clause9,negated_conjecture,
( ~ hskp19
| ndr1_0 ) ).
cnf(clause10,negated_conjecture,
( ~ hskp18
| ndr1_0 ) ).
cnf(clause11,negated_conjecture,
( ~ hskp17
| ndr1_0 ) ).
cnf(clause12,negated_conjecture,
( ~ hskp16
| ndr1_0 ) ).
cnf(clause13,negated_conjecture,
( ~ hskp15
| ndr1_0 ) ).
cnf(clause14,negated_conjecture,
( ~ hskp14
| ndr1_0 ) ).
cnf(clause15,negated_conjecture,
( ~ hskp13
| ndr1_0 ) ).
cnf(clause16,negated_conjecture,
( ~ hskp12
| ndr1_0 ) ).
cnf(clause17,negated_conjecture,
( ~ hskp11
| ndr1_0 ) ).
cnf(clause18,negated_conjecture,
( ~ hskp10
| ndr1_0 ) ).
cnf(clause19,negated_conjecture,
( ~ hskp9
| ndr1_0 ) ).
cnf(clause20,negated_conjecture,
( ~ hskp8
| ndr1_0 ) ).
cnf(clause21,negated_conjecture,
( ~ hskp7
| ndr1_0 ) ).
cnf(clause22,negated_conjecture,
( ~ hskp6
| ndr1_0 ) ).
cnf(clause23,negated_conjecture,
( ~ hskp5
| ndr1_0 ) ).
cnf(clause24,negated_conjecture,
( ~ hskp4
| ndr1_0 ) ).
cnf(clause25,negated_conjecture,
( ~ hskp3
| ndr1_0 ) ).
cnf(clause26,negated_conjecture,
( ~ hskp2
| ndr1_0 ) ).
cnf(clause27,negated_conjecture,
( ~ hskp1
| ndr1_0 ) ).
cnf(clause28,negated_conjecture,
( ~ hskp0
| ndr1_0 ) ).
cnf(clause29,negated_conjecture,
( hskp25
| hskp17
| hskp21 ) ).
cnf(clause30,negated_conjecture,
( hskp6
| hskp26
| hskp22 ) ).
cnf(clause31,negated_conjecture,
( hskp17
| hskp8
| hskp4 ) ).
cnf(clause32,negated_conjecture,
( hskp7
| hskp9
| hskp13 ) ).
cnf(clause33,negated_conjecture,
( hskp24
| hskp23
| hskp0 ) ).
cnf(clause34,negated_conjecture,
( ~ hskp27
| c0_1(a11) ) ).
cnf(clause35,negated_conjecture,
( ~ hskp27
| c1_1(a11) ) ).
cnf(clause36,negated_conjecture,
( ~ hskp27
| c3_1(a11) ) ).
cnf(clause37,negated_conjecture,
( ~ hskp26
| c0_1(a10) ) ).
cnf(clause38,negated_conjecture,
( ~ hskp26
| c2_1(a10) ) ).
cnf(clause39,negated_conjecture,
( ~ hskp26
| c3_1(a10) ) ).
cnf(clause40,negated_conjecture,
( ~ hskp25
| c0_1(a9) ) ).
cnf(clause41,negated_conjecture,
( ~ hskp25
| c1_1(a9) ) ).
cnf(clause42,negated_conjecture,
( ~ hskp25
| c2_1(a9) ) ).
cnf(clause43,negated_conjecture,
( ~ hskp24
| c1_1(a3) ) ).
cnf(clause44,negated_conjecture,
( ~ hskp24
| c2_1(a3) ) ).
cnf(clause45,negated_conjecture,
( ~ hskp24
| c3_1(a3) ) ).
cnf(clause46,negated_conjecture,
( ~ hskp23
| c3_1(a53) ) ).
cnf(clause47,negated_conjecture,
( ~ hskp22
| c0_1(a45) ) ).
cnf(clause48,negated_conjecture,
( ~ hskp21
| c2_1(a42) ) ).
cnf(clause49,negated_conjecture,
( ~ hskp21
| c3_1(a42) ) ).
cnf(clause50,negated_conjecture,
( ~ hskp20
| c1_1(a37) ) ).
cnf(clause51,negated_conjecture,
( ~ hskp19
| c2_1(a33) ) ).
cnf(clause52,negated_conjecture,
( ~ hskp19
| c3_1(a33) ) ).
cnf(clause53,negated_conjecture,
( ~ hskp17
| c0_1(a31) ) ).
cnf(clause54,negated_conjecture,
( ~ hskp17
| c2_1(a31) ) ).
cnf(clause55,negated_conjecture,
( ~ hskp16
| c1_1(a30) ) ).
cnf(clause56,negated_conjecture,
( ~ hskp15
| c0_1(a25) ) ).
cnf(clause57,negated_conjecture,
( ~ hskp15
| c1_1(a25) ) ).
cnf(clause58,negated_conjecture,
( ~ hskp14
| c2_1(a24) ) ).
cnf(clause59,negated_conjecture,
( ~ hskp11
| c2_1(a19) ) ).
cnf(clause60,negated_conjecture,
( ~ hskp10
| c0_1(a18) ) ).
cnf(clause61,negated_conjecture,
( ~ hskp10
| c2_1(a18) ) ).
cnf(clause62,negated_conjecture,
( ~ hskp9
| c0_1(a16) ) ).
cnf(clause63,negated_conjecture,
( ~ hskp8
| c0_1(a15) ) ).
cnf(clause64,negated_conjecture,
( ~ hskp7
| c0_1(a14) ) ).
cnf(clause65,negated_conjecture,
( ~ hskp7
| c3_1(a14) ) ).
cnf(clause66,negated_conjecture,
( ~ hskp6
| c0_1(a8) ) ).
cnf(clause67,negated_conjecture,
( ~ hskp6
| c1_1(a8) ) ).
cnf(clause68,negated_conjecture,
( ~ hskp5
| c1_1(a7) ) ).
cnf(clause69,negated_conjecture,
( ~ hskp5
| c3_1(a7) ) ).
cnf(clause70,negated_conjecture,
( ~ hskp4
| c1_1(a6) ) ).
cnf(clause71,negated_conjecture,
( ~ hskp4
| c3_1(a6) ) ).
cnf(clause72,negated_conjecture,
( ~ hskp2
| c1_1(a4) ) ).
cnf(clause73,negated_conjecture,
( ~ hskp1
| c2_1(a2) ) ).
cnf(clause74,negated_conjecture,
( ~ hskp0
| c3_1(a1) ) ).
cnf(clause75,negated_conjecture,
( ~ c0_1(a53)
| ~ hskp23 ) ).
cnf(clause76,negated_conjecture,
( ~ c1_1(a53)
| ~ hskp23 ) ).
cnf(clause77,negated_conjecture,
( ~ c1_1(a45)
| ~ hskp22 ) ).
cnf(clause78,negated_conjecture,
( ~ c3_1(a45)
| ~ hskp22 ) ).
cnf(clause79,negated_conjecture,
( ~ c1_1(a42)
| ~ hskp21 ) ).
cnf(clause80,negated_conjecture,
( ~ c0_1(a37)
| ~ hskp20 ) ).
cnf(clause81,negated_conjecture,
( ~ c3_1(a37)
| ~ hskp20 ) ).
cnf(clause82,negated_conjecture,
( ~ c0_1(a33)
| ~ hskp19 ) ).
cnf(clause83,negated_conjecture,
( ~ c0_1(a32)
| ~ hskp18 ) ).
cnf(clause84,negated_conjecture,
( ~ c1_1(a32)
| ~ hskp18 ) ).
cnf(clause85,negated_conjecture,
( ~ c3_1(a32)
| ~ hskp18 ) ).
cnf(clause86,negated_conjecture,
( ~ c1_1(a31)
| ~ hskp17 ) ).
cnf(clause87,negated_conjecture,
( ~ c0_1(a30)
| ~ hskp16 ) ).
cnf(clause88,negated_conjecture,
( ~ c2_1(a30)
| ~ hskp16 ) ).
cnf(clause89,negated_conjecture,
( ~ c3_1(a25)
| ~ hskp15 ) ).
cnf(clause90,negated_conjecture,
( ~ c0_1(a24)
| ~ hskp14 ) ).
cnf(clause91,negated_conjecture,
( ~ c1_1(a24)
| ~ hskp14 ) ).
cnf(clause92,negated_conjecture,
( ~ c0_1(a22)
| ~ hskp13 ) ).
cnf(clause93,negated_conjecture,
( ~ c2_1(a22)
| ~ hskp13 ) ).
cnf(clause94,negated_conjecture,
( ~ c3_1(a22)
| ~ hskp13 ) ).
cnf(clause95,negated_conjecture,
( ~ c0_1(a21)
| ~ hskp12 ) ).
cnf(clause96,negated_conjecture,
( ~ c1_1(a21)
| ~ hskp12 ) ).
cnf(clause97,negated_conjecture,
( ~ c2_1(a21)
| ~ hskp12 ) ).
cnf(clause98,negated_conjecture,
( ~ c1_1(a19)
| ~ hskp11 ) ).
cnf(clause99,negated_conjecture,
( ~ c3_1(a19)
| ~ hskp11 ) ).
cnf(clause100,negated_conjecture,
( ~ c3_1(a18)
| ~ hskp10 ) ).
cnf(clause101,negated_conjecture,
( ~ c2_1(a16)
| ~ hskp9 ) ).
cnf(clause102,negated_conjecture,
( ~ c3_1(a16)
| ~ hskp9 ) ).
cnf(clause103,negated_conjecture,
( ~ c1_1(a15)
| ~ hskp8 ) ).
cnf(clause104,negated_conjecture,
( ~ c2_1(a15)
| ~ hskp8 ) ).
cnf(clause105,negated_conjecture,
( ~ c2_1(a14)
| ~ hskp7 ) ).
cnf(clause106,negated_conjecture,
( ~ c2_1(a8)
| ~ hskp6 ) ).
cnf(clause107,negated_conjecture,
( ~ c0_1(a7)
| ~ hskp5 ) ).
cnf(clause108,negated_conjecture,
( ~ c2_1(a6)
| ~ hskp4 ) ).
cnf(clause109,negated_conjecture,
( ~ c1_1(a5)
| ~ hskp3 ) ).
cnf(clause110,negated_conjecture,
( ~ c2_1(a5)
| ~ hskp3 ) ).
cnf(clause111,negated_conjecture,
( ~ c3_1(a5)
| ~ hskp3 ) ).
cnf(clause112,negated_conjecture,
( ~ c2_1(a4)
| ~ hskp2 ) ).
cnf(clause113,negated_conjecture,
( ~ c3_1(a4)
| ~ hskp2 ) ).
cnf(clause114,negated_conjecture,
( ~ c0_1(a2)
| ~ hskp1 ) ).
cnf(clause115,negated_conjecture,
( ~ c3_1(a2)
| ~ hskp1 ) ).
cnf(clause116,negated_conjecture,
( ~ c0_1(a1)
| ~ hskp0 ) ).
cnf(clause117,negated_conjecture,
( ~ c2_1(a1)
| ~ hskp0 ) ).
cnf(clause118,negated_conjecture,
( ~ c2_1(U)
| ~ ndr1_0
| c1_1(U)
| c3_1(U)
| hskp7 ) ).
cnf(clause119,negated_conjecture,
( ~ c2_1(U)
| ~ ndr1_0
| c0_1(U)
| c1_1(U)
| hskp2
| hskp3 ) ).
cnf(clause120,negated_conjecture,
( ~ c2_1(U)
| ~ ndr1_0
| c0_1(U)
| c3_1(U)
| hskp25
| hskp26 ) ).
cnf(clause121,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| c1_1(U)
| c2_1(U)
| hskp2
| hskp14 ) ).
cnf(clause122,negated_conjecture,
( ~ c2_1(U)
| ~ ndr1_0
| c1_1(U)
| c3_1(U)
| hskp6
| hskp26 ) ).
cnf(clause123,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| c2_1(U)
| c3_1(U)
| hskp26
| hskp16 ) ).
cnf(clause124,negated_conjecture,
( ~ c1_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| c0_1(U)
| hskp27
| hskp26 ) ).
cnf(clause125,negated_conjecture,
( ~ c1_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| c0_1(U)
| hskp27
| hskp7 ) ).
cnf(clause126,negated_conjecture,
( ~ c1_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| c0_1(U)
| hskp8
| hskp9 ) ).
cnf(clause127,negated_conjecture,
( ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| c0_1(U)
| hskp27
| hskp12 ) ).
cnf(clause128,negated_conjecture,
( ~ c0_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| c2_1(U)
| hskp17
| hskp18 ) ).
cnf(clause129,negated_conjecture,
( ~ c1_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| c2_1(U)
| hskp9
| hskp24 ) ).
cnf(clause130,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| c3_1(U)
| hskp26
| hskp20 ) ).
cnf(clause131,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| hskp6
| hskp10 ) ).
cnf(clause132,negated_conjecture,
( ~ c1_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| c0_1(U)
| c0_1(V)
| c1_1(V)
| c3_1(V) ) ).
cnf(clause133,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| c1_1(U)
| c0_1(V)
| c1_1(V)
| c2_1(V)
| hskp0 ) ).
cnf(clause134,negated_conjecture,
( ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| c1_1(U)
| c0_1(V)
| c1_1(V)
| c3_1(V)
| hskp1 ) ).
cnf(clause135,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ ndr1_0
| c3_1(U)
| c0_1(V)
| c1_1(V)
| c3_1(V)
| hskp24 ) ).
cnf(clause136,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| c1_1(U)
| c2_1(U)
| c0_1(V)
| c1_1(V)
| hskp4 ) ).
cnf(clause137,negated_conjecture,
( ~ c1_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| c3_1(U)
| c0_1(V)
| c2_1(V)
| hskp5 ) ).
cnf(clause138,negated_conjecture,
( ~ c0_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| ~ c3_1(V)
| c1_1(U)
| c3_1(U)
| c0_1(V)
| hskp4 ) ).
cnf(clause139,negated_conjecture,
( ~ c0_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c0_1(V)
| c1_1(U)
| c1_1(V)
| c2_1(V)
| hskp13 ) ).
cnf(clause140,negated_conjecture,
( ~ c0_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| c2_1(U)
| c1_1(V)
| c2_1(V)
| hskp15 ) ).
cnf(clause141,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| c1_1(V)
| c3_1(V) ) ).
cnf(clause142,negated_conjecture,
( ~ c1_1(U)
| ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c3_1(V)
| c0_1(V)
| c2_1(V)
| hskp6 ) ).
cnf(clause143,negated_conjecture,
( ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| ~ c3_1(V)
| c1_1(U)
| c0_1(V)
| hskp10 ) ).
cnf(clause144,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c2_1(V)
| ~ c3_1(V)
| c3_1(U)
| c0_1(V)
| hskp11 ) ).
cnf(clause145,negated_conjecture,
( ~ c3_1(U)
| ~ ndr1_0
| c0_1(U)
| c2_1(U)
| c0_1(V)
| c2_1(V)
| c3_1(V)
| c0_1(W)
| c1_1(W)
| c2_1(W) ) ).
cnf(clause146,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(U)
| c1_1(V)
| c2_1(V)
| c3_1(V)
| c0_1(U)
| c3_1(U)
| c0_1(W)
| c2_1(W)
| c3_1(W) ) ).
cnf(clause147,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| ~ c3_1(V)
| c2_1(V)
| hskp19 ) ).
cnf(clause148,negated_conjecture,
( ~ c1_1(U)
| ~ ndr1_0
| ~ c0_1(V)
| ~ c2_1(W)
| c2_1(U)
| c3_1(U)
| c1_1(V)
| c3_1(V)
| c0_1(W)
| c1_1(W) ) ).
cnf(clause149,negated_conjecture,
( ~ c1_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c0_1(V)
| c2_1(U)
| c1_1(V)
| c3_1(V)
| c0_1(W)
| c2_1(W)
| c3_1(W) ) ).
cnf(clause150,negated_conjecture,
( ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| ~ c2_1(W)
| c1_1(U)
| c0_1(V)
| c3_1(V)
| c0_1(W)
| c1_1(W) ) ).
cnf(clause151,negated_conjecture,
( ~ c0_1(U)
| ~ c1_1(U)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| ~ c2_1(W)
| c2_1(V)
| c3_1(V)
| c0_1(W)
| c3_1(W) ) ).
cnf(clause152,negated_conjecture,
( ~ c0_1(U)
| ~ c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0
| ~ c1_1(V)
| ~ c0_1(W)
| c2_1(V)
| c3_1(V)
| c2_1(W)
| c3_1(W) ) ).
%--------------------------------------------------------------------------