TPTP Problem File: SYN535+1.p
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%--------------------------------------------------------------------------
% File : SYN535+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=094
% 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-5-1-25-3-2-094.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v4.1.0, 0.17 v4.0.1, 0.00 v2.4.0, 0.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 195 ( 0 equ)
% Maximal formula atoms : 195 ( 195 avg)
% Number of connectives : 269 ( 75 ~; 74 |; 96 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 32 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 : 24 ( 24 !; 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,
~ ( ( c4_0
| c1_0 )
& ( ~ c3_0
| ! [U] :
( ndr1_0
=> ( c4_1(U)
| c5_1(U) ) )
| c5_0 )
& ( c1_0
| ( ndr1_0
& ~ c2_1(a492)
& ndr1_1(a492)
& ~ c5_2(a492,a493)
& ~ c3_2(a492,a493)
& ~ c2_2(a492,a493)
& c5_1(a492) )
| ( ndr1_0
& ~ c3_1(a494)
& ~ c4_1(a494)
& ! [V] :
( ndr1_1(a494)
=> ( c3_2(a494,V)
| c1_2(a494,V)
| ~ c4_2(a494,V) ) ) ) )
& ( c3_0
| ( ndr1_0
& ndr1_1(a495)
& c4_2(a495,a496)
& ~ c5_2(a495,a496)
& c2_2(a495,a496)
& c2_1(a495)
& ! [W] :
( ndr1_1(a495)
=> ( ~ c5_2(a495,W)
| ~ c3_2(a495,W) ) ) ) )
& ( c3_0
| ~ c5_0
| c1_0 )
& ( ! [X] :
( ndr1_0
=> ( ! [Y] :
( ndr1_1(X)
=> ( c2_2(X,Y)
| c1_2(X,Y) ) )
| ( ndr1_1(X)
& c5_2(X,a497)
& c1_2(X,a497)
& c3_2(X,a497) )
| c3_1(X) ) )
| c3_0
| ( ndr1_0
& ! [Z] :
( ndr1_1(a498)
=> ( ~ c4_2(a498,Z)
| c3_2(a498,Z) ) )
& c4_1(a498) ) )
& ( c1_0
| ( ndr1_0
& ~ c4_1(a499) ) )
& ( c3_0
| ~ c4_0
| ~ c1_0 )
& ( ~ c2_0
| ( ndr1_0
& ~ c2_1(a500)
& ndr1_1(a500)
& c1_2(a500,a501)
& ~ c2_2(a500,a501)
& ~ c3_2(a500,a501)
& c3_1(a500) )
| ! [X1] :
( ndr1_0
=> ( c5_1(X1)
| ! [X2] :
( ndr1_1(X1)
=> ( c3_2(X1,X2)
| c1_2(X1,X2)
| ~ c4_2(X1,X2) ) )
| ( ndr1_1(X1)
& ~ c2_2(X1,a502)
& ~ c3_2(X1,a502)
& c5_2(X1,a502) ) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c3_1(X3)
| c2_1(X3)
| ~ c1_1(X3) ) )
| c2_0
| ( ndr1_0
& ndr1_1(a503)
& c4_2(a503,a504)
& ~ c2_2(a503,a504)
& ~ c5_2(a503,a504)
& ! [X4] :
( ndr1_1(a503)
=> ( ~ c3_2(a503,X4)
| c1_2(a503,X4)
| ~ c5_2(a503,X4) ) )
& ndr1_1(a503)
& ~ c3_2(a503,a505)
& ~ c5_2(a503,a505)
& ~ c2_2(a503,a505) ) )
& ( ! [X5] :
( ndr1_0
=> ( c4_1(X5)
| ( ndr1_1(X5)
& c4_2(X5,a506)
& c5_2(X5,a506)
& ~ c3_2(X5,a506) )
| ~ c5_1(X5) ) )
| ( ndr1_0
& ! [X6] :
( ndr1_1(a507)
=> ( ~ c2_2(a507,X6)
| ~ c3_2(a507,X6)
| ~ c5_2(a507,X6) ) )
& ~ c4_1(a507)
& c3_1(a507) )
| ( ndr1_0
& c5_1(a508)
& c1_1(a508) ) )
& ( c3_0
| c4_0
| ~ c5_0 )
& ( ( ndr1_0
& ! [X7] :
( ndr1_1(a509)
=> ( c4_2(a509,X7)
| ~ c2_2(a509,X7)
| c5_2(a509,X7) ) )
& ~ c2_1(a509) )
| ! [X8] :
( ndr1_0
=> ( ( ndr1_1(X8)
& ~ c2_2(X8,a510)
& ~ c3_2(X8,a510) )
| ~ c3_1(X8)
| c2_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c3_1(X9)
| ! [X10] :
( ndr1_1(X9)
=> ( ~ c4_2(X9,X10)
| ~ c3_2(X9,X10) ) ) ) ) )
& ( ( ndr1_0
& ! [X11] :
( ndr1_1(a511)
=> ( c2_2(a511,X11)
| c4_2(a511,X11)
| ~ c3_2(a511,X11) ) )
& ~ c3_1(a511)
& ~ c2_1(a511) )
| ~ c4_0
| ( ndr1_0
& c4_1(a512)
& ~ c3_1(a512)
& c1_1(a512) ) )
& ( ~ c2_0
| ~ c5_0 )
& ( ~ c4_0
| ! [X12] :
( ndr1_0
=> ( ~ c4_1(X12)
| ~ c3_1(X12)
| ! [X13] :
( ndr1_1(X12)
=> ( ~ c4_2(X12,X13)
| ~ c5_2(X12,X13) ) ) ) )
| ~ c5_0 )
& ( ( ndr1_0
& ~ c4_1(a513)
& c1_1(a513)
& c3_1(a513) )
| c2_0
| ( ndr1_0
& c1_1(a514)
& ndr1_1(a514)
& ~ c5_2(a514,a515)
& c3_2(a514,a515)
& c2_2(a514,a515)
& ! [X14] :
( ndr1_1(a514)
=> ( ~ c4_2(a514,X14)
| c5_2(a514,X14)
| c3_2(a514,X14) ) ) ) )
& ( ~ c1_0
| ( ndr1_0
& c3_1(a516)
& ! [X15] :
( ndr1_1(a516)
=> ( ~ c4_2(a516,X15)
| c3_2(a516,X15)
| c5_2(a516,X15) ) )
& ~ c1_1(a516) ) )
& ( ~ c2_0
| ! [X16] :
( ndr1_0
=> c5_1(X16) )
| ! [X17] :
( ndr1_0
=> ( ~ c4_1(X17)
| ~ c1_1(X17)
| ! [X18] :
( ndr1_1(X17)
=> ( ~ c3_2(X17,X18)
| c5_2(X17,X18)
| ~ c1_2(X17,X18) ) ) ) ) )
& ( ( ndr1_0
& ~ c2_1(a517)
& c4_1(a517)
& ndr1_1(a517)
& c3_2(a517,a518)
& ~ c4_2(a517,a518)
& c5_2(a517,a518) )
| ( ndr1_0
& ~ c2_1(a519)
& c1_1(a519) )
| ~ c2_0 ) ) ).
%--------------------------------------------------------------------------