TPTP Problem File: SYN529+1.p
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%--------------------------------------------------------------------------
% File : SYN529+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=033
% 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-5-1-25-3-2-033.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v4.1.0, 0.17 v4.0.1, 0.00 v3.1.0, 0.17 v2.6.0, 0.00 v2.4.0, 0.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 242 ( 0 equ)
% Maximal formula atoms : 242 ( 242 avg)
% Number of connectives : 314 ( 73 ~; 84 |; 132 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 36 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 17 usr; 6 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 43 con; 0-0 aty)
% Number of variables : 25 ( 25 !; 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].
%--------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( c2_0
| ~ c5_0 )
& ( ~ c4_0
| ~ c3_0
| ~ c2_0 )
& ( c4_0
| ( ndr1_0
& ndr1_1(a314)
& ~ c3_2(a314,a315)
& ~ c2_2(a314,a315)
& ~ c1_2(a314,a315)
& c4_1(a314)
& ! [U] :
( ndr1_1(a314)
=> ( ~ c1_2(a314,U)
| c4_2(a314,U)
| c3_2(a314,U) ) ) )
| ! [V] :
( ndr1_0
=> ( ! [W] :
( ndr1_1(V)
=> ( c4_2(V,W)
| c3_2(V,W)
| c1_2(V,W) ) )
| ~ c4_1(V)
| c5_1(V) ) ) )
& ( ( ndr1_0
& ~ c4_1(a316)
& ndr1_1(a316)
& c3_2(a316,a317)
& ~ c4_2(a316,a317)
& c2_2(a316,a317)
& c1_1(a316) )
| ( ndr1_0
& ndr1_1(a318)
& c4_2(a318,a319)
& c2_2(a318,a319)
& ndr1_1(a318)
& c2_2(a318,a320)
& ~ c4_2(a318,a320) )
| ~ c4_0 )
& ( ! [X] :
( ndr1_0
=> ( ! [Y] :
( ndr1_1(X)
=> ( ~ c4_2(X,Y)
| c2_2(X,Y)
| ~ c3_2(X,Y) ) )
| ( ndr1_1(X)
& ~ c1_2(X,a321)
& c5_2(X,a321)
& ~ c2_2(X,a321) )
| ~ c2_1(X) ) )
| c4_0
| ( ndr1_0
& c3_1(a322)
& ndr1_1(a322)
& ~ c4_2(a322,a323)
& c5_2(a322,a323)
& ~ c1_2(a322,a323) ) )
& ( ! [Z] :
( ndr1_0
=> ( c1_1(Z)
| c5_1(Z) ) )
| ! [X1] :
( ndr1_0
=> ( ~ c2_1(X1)
| c4_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c4_1(X2)
| ! [X3] :
( ndr1_1(X2)
=> ( c5_2(X2,X3)
| c4_2(X2,X3) ) )
| c2_1(X2) ) ) )
& ( c2_0
| ~ c3_0 )
& ( c5_0
| ( ndr1_0
& ! [X4] :
( ndr1_1(a324)
=> ( c3_2(a324,X4)
| c2_2(a324,X4)
| ~ c4_2(a324,X4) ) )
& ndr1_1(a324)
& c1_2(a324,a325)
& c5_2(a324,a325)
& ! [X5] :
( ndr1_1(a324)
=> ( c3_2(a324,X5)
| c1_2(a324,X5) ) ) )
| ( ndr1_0
& c2_1(a326)
& c4_1(a326)
& ndr1_1(a326)
& ~ c2_2(a326,a327)
& ~ c5_2(a326,a327)
& c3_2(a326,a327) ) )
& ( ( ndr1_0
& ~ c2_1(a328)
& c5_1(a328) )
| c4_0
| ( ndr1_0
& ndr1_1(a329)
& ~ c2_2(a329,a330)
& ! [X6] :
( ndr1_1(a329)
=> ( ~ c4_2(a329,X6)
| ~ c5_2(a329,X6)
| c1_2(a329,X6) ) )
& c1_1(a329) ) )
& ( ~ c4_0
| ( ndr1_0
& ndr1_1(a331)
& c1_2(a331,a332)
& c2_2(a331,a332)
& ~ c5_2(a331,a332)
& c5_1(a331)
& c3_1(a331) )
| ( ndr1_0
& ~ c3_1(a333) ) )
& ( ! [X7] :
( ndr1_0
=> ( c3_1(X7)
| ( ndr1_1(X7)
& c4_2(X7,a334)
& c2_2(X7,a334) )
| c5_1(X7) ) )
| c1_0 )
& ( ( ndr1_0
& ndr1_1(a335)
& c4_2(a335,a336)
& c5_2(a335,a336)
& c2_2(a335,a336)
& ndr1_1(a335)
& c1_2(a335,a337)
& c5_2(a335,a337)
& ~ c3_2(a335,a337) )
| c4_0
| c5_0 )
& ( ~ c5_0
| ( ndr1_0
& c1_1(a338)
& c4_1(a338)
& ndr1_1(a338)
& c1_2(a338,a339)
& ~ c3_2(a338,a339)
& ~ c4_2(a338,a339) )
| ! [X8] :
( ndr1_0
=> ( ! [X9] :
( ndr1_1(X8)
=> ( ~ c3_2(X8,X9)
| c2_2(X8,X9)
| c1_2(X8,X9) ) )
| ( ndr1_1(X8)
& ~ c4_2(X8,a340)
& ~ c1_2(X8,a340)
& c2_2(X8,a340) )
| ( ndr1_1(X8)
& c2_2(X8,a341)
& c4_2(X8,a341)
& c3_2(X8,a341) ) ) ) )
& ( c3_0
| c5_0
| ~ c1_0 )
& ( c4_0
| ! [X10] :
( ndr1_0
=> ( ( ndr1_1(X10)
& c5_2(X10,a342)
& c2_2(X10,a342) )
| ~ c4_1(X10)
| c5_1(X10) ) ) )
& ( ~ c3_0
| ~ c5_0
| c4_0 )
& ( ! [X11] :
( ndr1_0
=> ( ! [X12] :
( ndr1_1(X11)
=> ( c4_2(X11,X12)
| c3_2(X11,X12)
| c2_2(X11,X12) ) )
| c3_1(X11)
| ~ c2_1(X11) ) )
| c5_0 )
& ( ( ndr1_0
& ~ c1_1(a343)
& c2_1(a343) )
| c3_0 )
& ( ( ndr1_0
& ndr1_1(a344)
& c3_2(a344,a345)
& ~ c1_2(a344,a345)
& ~ c2_1(a344)
& ! [X13] :
( ndr1_1(a344)
=> ( ~ c2_2(a344,X13)
| ~ c1_2(a344,X13)
| ~ c5_2(a344,X13) ) ) )
| c5_0
| ( ndr1_0
& c4_1(a346)
& ndr1_1(a346)
& ~ c5_2(a346,a347)
& c1_2(a346,a347)
& c3_1(a346) ) )
& ( ( ndr1_0
& ~ c3_1(a348)
& ! [X14] :
( ndr1_1(a348)
=> ( c5_2(a348,X14)
| ~ c4_2(a348,X14)
| ~ c2_2(a348,X14) ) )
& ndr1_1(a348)
& ~ c5_2(a348,a349)
& c2_2(a348,a349) )
| ! [X15] :
( ndr1_0
=> ( ( ndr1_1(X15)
& c2_2(X15,a350)
& ~ c3_2(X15,a350)
& ~ c1_2(X15,a350) )
| ~ c3_1(X15)
| ! [X16] :
( ndr1_1(X15)
=> ( c1_2(X15,X16)
| ~ c4_2(X15,X16)
| c5_2(X15,X16) ) ) ) ) )
& ( c4_0
| ~ c1_0
| ~ c5_0 )
& ( ( ndr1_0
& ~ c1_1(a351)
& ndr1_1(a351)
& c2_2(a351,a352)
& ~ c1_2(a351,a352)
& ~ c4_2(a351,a352)
& c4_1(a351) )
| c3_0
| ( ndr1_0
& ! [X17] :
( ndr1_1(a353)
=> ( ~ c2_2(a353,X17)
| c3_2(a353,X17)
| ~ c5_2(a353,X17) ) )
& ndr1_1(a353)
& c2_2(a353,a354)
& c3_2(a353,a354)
& ! [X18] :
( ndr1_1(a353)
=> ( ~ c1_2(a353,X18)
| ~ c4_2(a353,X18)
| c3_2(a353,X18) ) ) ) )
& ( ( ndr1_0
& ndr1_1(a355)
& ~ c4_2(a355,a356)
& ~ c5_2(a355,a356)
& ! [X19] :
( ndr1_1(a355)
=> ( c3_2(a355,X19)
| ~ c1_2(a355,X19) ) )
& ~ c3_1(a355) )
| c2_0
| c5_0 ) ) ).
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