TPTP Problem File: SYN533+1.p
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%--------------------------------------------------------------------------
% File : SYN533+1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=5, R=1, L=25, K=3, D=2, P=0, Index=082
% Version : Especial.
% English :
% Refs : [OS95] Ohlbach & Schmidt (1995), Functional Translation and S
% : [HS97] Hustadt & Schmidt (1997), On Evaluating Decision Proce
% : [Wei97] Weidenbach (1997), Email to G. Sutcliffe
% Source : [Wei97]
% Names : alc-5-1-25-3-2-082.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v5.5.0, 0.10 v5.4.0, 0.00 v4.1.0, 0.17 v4.0.1, 0.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 158 ( 0 equ)
% Maximal formula atoms : 158 ( 158 avg)
% Number of connectives : 209 ( 52 ~; 50 |; 91 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 28 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 17 usr; 6 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 28 con; 0-0 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% SPC : FOF_CSA_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].
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fof(co1,conjecture,
~ ( ( ~ c1_0
| ! [U] :
( ndr1_0
=> ( c2_1(U)
| ! [V] :
( ndr1_1(U)
=> ( c5_2(U,V)
| ~ c2_2(U,V) ) )
| ~ c3_1(U) ) )
| c2_0 )
& c4_0
& ( c1_0
| ! [W] :
( ndr1_0
=> ( ( ndr1_1(W)
& ~ c1_2(W,a443)
& c3_2(W,a443) )
| ( ndr1_1(W)
& ~ c5_2(W,a444)
& ~ c3_2(W,a444) )
| ~ c2_1(W) ) )
| ! [X] :
( ndr1_0
=> ( ! [Y] :
( ndr1_1(X)
=> ( ~ c5_2(X,Y)
| c3_2(X,Y) ) )
| ! [Z] :
( ndr1_1(X)
=> ( ~ c3_2(X,Z)
| c1_2(X,Z)
| c4_2(X,Z) ) ) ) ) )
& ( c3_0
| c1_0
| ! [X1] :
( ndr1_0
=> ( ~ c1_1(X1)
| ! [X2] :
( ndr1_1(X1)
=> ( c5_2(X1,X2)
| ~ c3_2(X1,X2)
| c4_2(X1,X2) ) ) ) ) )
& ( ( ndr1_0
& c3_1(a445)
& ndr1_1(a445)
& ~ c4_2(a445,a446)
& ~ c2_2(a445,a446) )
| c3_0 )
& ( ( ndr1_0
& ! [X3] :
( ndr1_1(a447)
=> ( c3_2(a447,X3)
| ~ c5_2(a447,X3)
| c1_2(a447,X3) ) )
& ndr1_1(a447)
& ~ c1_2(a447,a448)
& ~ c4_2(a447,a448)
& ~ c2_2(a447,a448) )
| ( ndr1_0
& c1_1(a449)
& c2_1(a449)
& ndr1_1(a449)
& c5_2(a449,a450)
& ~ c2_2(a449,a450)
& ~ c3_2(a449,a450) )
| c2_0 )
& ( c2_0
| ( ndr1_0
& ndr1_1(a451)
& ~ c2_2(a451,a452)
& c3_2(a451,a452)
& ~ c4_1(a451)
& c3_1(a451) )
| ~ c5_0 )
& ( c2_0
| c3_0
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| ~ c3_1(X4) ) ) )
& ( ~ c1_0
| ( ndr1_0
& ~ c4_1(a453)
& ndr1_1(a453)
& c5_2(a453,a454)
& ~ c1_2(a453,a454)
& ~ c3_2(a453,a454) )
| ( ndr1_0
& ndr1_1(a455)
& c2_2(a455,a456)
& c3_2(a455,a456)
& ~ c4_2(a455,a456)
& ~ c1_1(a455)
& ndr1_1(a455)
& c1_2(a455,a457)
& c2_2(a455,a457)
& ~ c4_2(a455,a457) ) )
& ( c1_0
| ! [X5] :
( ndr1_0
=> ( c2_1(X5)
| c3_1(X5) ) ) )
& ( ( ndr1_0
& c1_1(a458)
& ~ c5_1(a458)
& ndr1_1(a458)
& c5_2(a458,a459)
& ~ c1_2(a458,a459)
& ~ c3_2(a458,a459) )
| ( ndr1_0
& c2_1(a460)
& ~ c1_1(a460)
& ! [X6] :
( ndr1_1(a460)
=> c3_2(a460,X6) ) )
| ~ c3_0 )
& ( c1_0
| ( ndr1_0
& ndr1_1(a461)
& c1_2(a461,a462)
& ~ c5_2(a461,a462)
& ~ c4_2(a461,a462)
& c1_1(a461)
& ndr1_1(a461)
& c2_2(a461,a463)
& c1_2(a461,a463) )
| ~ c2_0 )
& ( ( ndr1_0
& c3_1(a464)
& ~ c5_1(a464)
& ~ c2_1(a464) )
| c2_0 )
& ( ( ndr1_0
& ndr1_1(a465)
& ~ c5_2(a465,a466)
& c1_2(a465,a466)
& ~ c4_2(a465,a466)
& ~ c5_1(a465) )
| c2_0 )
& ( ! [X7] :
( ndr1_0
=> ( ~ c1_1(X7)
| ~ c4_1(X7)
| ! [X8] :
( ndr1_1(X7)
=> ( c4_2(X7,X8)
| c2_2(X7,X8)
| c5_2(X7,X8) ) ) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| c2_1(X9) ) ) )
& ( ~ c3_0
| c1_0
| c2_0 )
& ( ( ndr1_0
& c4_1(a467)
& ~ c3_1(a467)
& c5_1(a467) )
| c1_0 )
& ( ! [X10] :
( ndr1_0
=> ( c1_1(X10)
| ( ndr1_1(X10)
& c2_2(X10,a468)
& ~ c1_2(X10,a468)
& c5_2(X10,a468) )
| ( ndr1_1(X10)
& c5_2(X10,a469)
& c4_2(X10,a469)
& c2_2(X10,a469) ) ) )
| ( ndr1_0
& ~ c3_1(a470)
& ~ c5_1(a470) ) ) ) ).
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