TPTP Problem File: SYN517-1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN517-1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=5, R=1, L=15, K=3, D=2, P=0, Index=061
% 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-5-1-15-3-2-061.cnf [Wei97]
% Status : Satisfiable
% Rating : 0.00 v2.2.0, 0.50 v2.1.0
% Syntax : Number of clauses : 68 ( 0 unt; 43 nHn; 62 RR)
% Number of literals : 282 ( 0 equ; 127 neg)
% Maximal clause size : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 20 usr; 9 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 38 ( 0 sgn)
% SPC : CNF_SAT_EPR_NEQ
% 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,
( ndr1_0
| c2_0 ) ).
cnf(clause2,negated_conjecture,
( c4_0
| c5_0 ) ).
cnf(clause3,negated_conjecture,
( ndr1_0
| ssSkC2 ) ).
cnf(clause4,negated_conjecture,
( ndr1_0
| ssSkC1 ) ).
cnf(clause5,negated_conjecture,
( ndr1_0
| ssSkC0 ) ).
cnf(clause6,negated_conjecture,
( ~ ssSkC2
| ndr1_0
| c3_0 ) ).
cnf(clause7,negated_conjecture,
( ndr1_1(a65)
| c2_0 ) ).
cnf(clause8,negated_conjecture,
( ~ ssSkC0
| ndr1_0
| c3_0 ) ).
cnf(clause9,negated_conjecture,
( ndr1_1(a62)
| ssSkC1 ) ).
cnf(clause10,negated_conjecture,
( c1_1(a62)
| ssSkC1 ) ).
cnf(clause11,negated_conjecture,
( ndr1_1(a57)
| ssSkC0 ) ).
cnf(clause12,negated_conjecture,
( c5_2(a65,a66)
| c2_0 ) ).
cnf(clause13,negated_conjecture,
( c4_2(a65,a66)
| c2_0 ) ).
cnf(clause14,negated_conjecture,
( ~ ssSkC1
| ~ c5_0
| ndr1_0 ) ).
cnf(clause15,negated_conjecture,
( ~ ssSkC0
| c2_1(a59)
| c3_0 ) ).
cnf(clause16,negated_conjecture,
( ~ ssSkC0
| c5_1(a59)
| c3_0 ) ).
cnf(clause17,negated_conjecture,
( ndr1_1(a53)
| c1_0
| c2_0 ) ).
cnf(clause18,negated_conjecture,
( c5_1(a53)
| c1_0
| c2_0 ) ).
cnf(clause19,negated_conjecture,
( c1_1(a53)
| c1_0
| c2_0 ) ).
cnf(clause20,negated_conjecture,
( ~ c1_1(a67)
| ssSkC2 ) ).
cnf(clause21,negated_conjecture,
( c3_2(a62,a63)
| ssSkC1 ) ).
cnf(clause22,negated_conjecture,
( c4_2(a57,a58)
| ssSkC0 ) ).
cnf(clause23,negated_conjecture,
( c2_2(a57,a58)
| ssSkC0 ) ).
cnf(clause24,negated_conjecture,
( ~ c5_1(a57)
| ssSkC0 ) ).
cnf(clause25,negated_conjecture,
( ~ ssSkC2
| ~ c3_1(a68)
| c3_0 ) ).
cnf(clause26,negated_conjecture,
( ~ c3_2(a65,a66)
| c2_0 ) ).
cnf(clause27,negated_conjecture,
( ~ ssSkC1
| ~ c5_0
| c2_1(a64) ) ).
cnf(clause28,negated_conjecture,
( ~ c5_0
| ~ c3_0
| ndr1_0 ) ).
cnf(clause29,negated_conjecture,
( ~ ssSkC0
| ~ c4_1(a59)
| c3_0 ) ).
cnf(clause30,negated_conjecture,
( ~ c2_0
| ~ c4_0
| ndr1_0 ) ).
cnf(clause31,negated_conjecture,
( c3_2(a53,a54)
| c1_0
| c2_0 ) ).
cnf(clause32,negated_conjecture,
( c2_2(a53,a54)
| c1_0
| c2_0 ) ).
cnf(clause33,negated_conjecture,
( ~ c2_0
| ~ c3_0
| c5_0 ) ).
cnf(clause34,negated_conjecture,
( ~ c5_2(a62,a63)
| ssSkC1 ) ).
cnf(clause35,negated_conjecture,
( ~ c2_2(a62,a63)
| ssSkC1 ) ).
cnf(clause36,negated_conjecture,
( ~ c1_2(a57,a58)
| ssSkC0 ) ).
cnf(clause37,negated_conjecture,
( ~ ssSkC1
| ~ c5_1(a64)
| ~ c5_0 ) ).
cnf(clause38,negated_conjecture,
( ~ c5_0
| ~ c3_0
| ndr1_1(a60) ) ).
cnf(clause39,negated_conjecture,
( ~ c5_0
| ~ c3_0
| c5_1(a60) ) ).
cnf(clause40,negated_conjecture,
( ~ c2_0
| ~ c4_0
| ndr1_1(a55) ) ).
cnf(clause41,negated_conjecture,
( ~ c2_0
| ~ c4_0
| c5_1(a55) ) ).
cnf(clause42,negated_conjecture,
( ~ c1_2(a53,a54)
| c1_0
| c2_0 ) ).
cnf(clause43,negated_conjecture,
( ~ c2_0
| ~ c4_0
| c4_2(a55,a56) ) ).
cnf(clause44,negated_conjecture,
( ~ c2_0
| ~ c4_0
| c1_2(a55,a56) ) ).
cnf(clause45,negated_conjecture,
( ~ c4_2(a60,a61)
| ~ c5_0
| ~ c3_0 ) ).
cnf(clause46,negated_conjecture,
( ~ c1_2(a60,a61)
| ~ c5_0
| ~ c3_0 ) ).
cnf(clause47,negated_conjecture,
( ~ c5_2(a60,a61)
| ~ c5_0
| ~ c3_0 ) ).
cnf(clause48,negated_conjecture,
( ~ c3_2(a55,a56)
| ~ c2_0
| ~ c4_0 ) ).
cnf(clause49,negated_conjecture,
( ~ c1_2(a65,U)
| ~ c3_2(a65,U)
| ~ ndr1_1(a65)
| c2_0 ) ).
cnf(clause50,negated_conjecture,
( ~ ndr1_1(a60)
| ~ c5_0
| ~ c3_0
| c5_2(a60,U)
| c4_2(a60,U) ) ).
cnf(clause51,negated_conjecture,
( ~ c5_2(a62,U)
| ~ ndr1_1(a62)
| c2_2(a62,U)
| c1_2(a62,U)
| ssSkC1 ) ).
cnf(clause52,negated_conjecture,
( ~ c3_2(a57,U)
| ~ ndr1_1(a57)
| c5_2(a57,U)
| c2_2(a57,U)
| ssSkC0 ) ).
cnf(clause53,negated_conjecture,
( ~ c2_2(a67,U)
| ~ c3_2(a67,U)
| ~ ndr1_1(a67)
| c1_2(a67,U)
| ssSkC2 ) ).
cnf(clause54,negated_conjecture,
( ~ ssSkC2
| ~ c4_2(a68,U)
| ~ c5_2(a68,U)
| ~ ndr1_1(a68)
| c3_2(a68,U)
| c3_0 ) ).
cnf(clause55,negated_conjecture,
( ~ ndr1_1(a55)
| ~ c2_0
| ~ c4_0
| c3_2(a55,U)
| c5_2(a55,U)
| c1_2(a55,U) ) ).
cnf(clause56,negated_conjecture,
( ~ c3_2(U,V)
| ~ ndr1_1(U)
| ~ ndr1_0
| c4_2(U,V)
| c5_1(U)
| c3_1(U)
| ndr1_1(a50)
| c1_0 ) ).
cnf(clause57,negated_conjecture,
( ~ c3_2(U,V)
| ~ ndr1_1(U)
| ~ ndr1_0
| c4_2(U,V)
| c5_1(U)
| c3_1(U)
| c3_1(a50)
| c1_0 ) ).
cnf(clause58,negated_conjecture,
( ~ c3_2(U,V)
| ~ ndr1_1(U)
| ~ ndr1_0
| c4_2(U,V)
| c5_1(U)
| c3_1(U)
| c3_2(a50,a51)
| c1_0 ) ).
cnf(clause59,negated_conjecture,
( ~ c3_2(U,V)
| ~ ndr1_1(U)
| ~ ndr1_0
| ~ c1_2(a50,a51)
| c4_2(U,V)
| c5_1(U)
| c3_1(U)
| c1_0 ) ).
cnf(clause60,negated_conjecture,
( ~ c3_2(U,V)
| ~ ndr1_1(U)
| ~ ndr1_0
| ~ c4_2(a50,a51)
| c4_2(U,V)
| c5_1(U)
| c3_1(U)
| c1_0 ) ).
cnf(clause61,negated_conjecture,
( ~ ndr1_1(U)
| ~ c5_1(U)
| ~ ndr1_0
| c2_2(U,V)
| c4_2(U,V)
| c3_2(U,V)
| c3_1(U)
| ndr1_1(W)
| c4_1(W)
| c3_1(W)
| c4_0 ) ).
cnf(clause62,negated_conjecture,
( ~ c4_2(U,V)
| ~ c2_2(U,V)
| ~ ndr1_1(U)
| ~ ndr1_0
| ~ c5_0
| ~ c1_0
| c3_2(U,V)
| c1_2(U,a52)
| c4_1(U) ) ).
cnf(clause63,negated_conjecture,
( ~ ndr1_1(U)
| ~ c5_1(U)
| ~ ndr1_0
| c2_2(U,V)
| c4_2(U,V)
| c3_2(U,V)
| c3_1(U)
| c5_2(W,a69)
| c4_1(W)
| c3_1(W)
| c4_0 ) ).
cnf(clause64,negated_conjecture,
( ~ ndr1_1(U)
| ~ c5_1(U)
| ~ ndr1_0
| c2_2(U,V)
| c4_2(U,V)
| c3_2(U,V)
| c3_1(U)
| c4_2(W,a69)
| c4_1(W)
| c3_1(W)
| c4_0 ) ).
cnf(clause65,negated_conjecture,
( ~ c4_2(U,V)
| ~ c2_2(U,V)
| ~ ndr1_1(U)
| ~ c3_2(U,a52)
| ~ ndr1_0
| ~ c5_0
| ~ c1_0
| c3_2(U,V)
| c4_1(U) ) ).
cnf(clause66,negated_conjecture,
( ~ c4_2(U,V)
| ~ c2_2(U,V)
| ~ ndr1_1(U)
| ~ c2_2(U,a52)
| ~ ndr1_0
| ~ c5_0
| ~ c1_0
| c3_2(U,V)
| c4_1(U) ) ).
cnf(clause67,negated_conjecture,
( ~ ndr1_1(U)
| ~ c5_1(U)
| ~ ndr1_0
| ~ c1_2(V,a69)
| c2_2(U,W)
| c4_2(U,W)
| c3_2(U,W)
| c3_1(U)
| c4_1(V)
| c3_1(V)
| c4_0 ) ).
cnf(clause68,negated_conjecture,
( ~ c3_2(U,V)
| ~ ndr1_1(U)
| ~ ndr1_0
| ~ c2_2(a50,W)
| ~ ndr1_1(a50)
| c4_2(U,V)
| c5_1(U)
| c3_1(U)
| c4_2(a50,W)
| c3_2(a50,W)
| c1_0 ) ).
%--------------------------------------------------------------------------