TPTP Problem File: SYN541+1.p
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%--------------------------------------------------------------------------
% File : SYN541+1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=5, R=1, L=45, K=3, D=2, P=0, Index=096
% 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-5-1-45-3-2-096.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v4.1.0, 0.17 v4.0.1, 0.00 v3.2.0, 0.25 v3.1.0, 0.17 v2.7.0, 0.50 v2.6.0, 0.25 v2.5.0, 0.00 v2.4.0, 0.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 368 ( 0 equ)
% Maximal formula atoms : 368 ( 368 avg)
% Number of connectives : 500 ( 133 ~; 146 |; 167 &)
% ( 0 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 47 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 17 usr; 6 prp; 0-2 aty)
% Number of functors : 50 ( 50 usr; 50 con; 0-0 aty)
% Number of variables : 54 ( 54 !; 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,
~ ( ( ~ c5_0
| ( ndr1_0
& ~ c4_1(a725)
& c5_1(a725)
& c2_1(a725) )
| c4_0 )
& ( c5_0
| ~ c4_0
| ! [U] :
( ndr1_0
=> ( c2_1(U)
| ! [V] :
( ndr1_1(U)
=> ( ~ c2_2(U,V)
| c4_2(U,V)
| c1_2(U,V) ) ) ) ) )
& ( c5_0
| c1_0
| ! [W] :
( ndr1_0
=> ( ! [X] :
( ndr1_1(W)
=> ( ~ c2_2(W,X)
| ~ c5_2(W,X) ) )
| ! [Y] :
( ndr1_1(W)
=> ( ~ c5_2(W,Y)
| ~ c1_2(W,Y)
| ~ c2_2(W,Y) ) ) ) ) )
& ( ( ndr1_0
& ! [Z] :
( ndr1_1(a726)
=> ( ~ c5_2(a726,Z)
| c3_2(a726,Z) ) )
& ndr1_1(a726)
& c2_2(a726,a727)
& ~ c5_2(a726,a727)
& c4_2(a726,a727)
& ndr1_1(a726)
& ~ c4_2(a726,a728)
& c2_2(a726,a728) )
| ~ c3_0
| ( ndr1_0
& ! [X1] :
( ndr1_1(a729)
=> ( ~ c5_2(a729,X1)
| c4_2(a729,X1)
| ~ c1_2(a729,X1) ) )
& ! [X2] :
( ndr1_1(a729)
=> ( ~ c4_2(a729,X2)
| ~ c1_2(a729,X2) ) )
& c4_1(a729) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c4_1(X3)
| ( ndr1_1(X3)
& ~ c2_2(X3,a730)
& ~ c3_2(X3,a730) )
| ~ c3_1(X3) ) )
| ~ c3_0
| ~ c5_0 )
& ndr1_0
& c2_1(a731)
& c4_1(a731)
& ( c3_0
| ( ndr1_0
& ndr1_1(a732)
& c4_2(a732,a733)
& ~ c3_2(a732,a733)
& ~ c2_1(a732) )
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| ~ c5_1(X4) ) ) )
& ( ( ndr1_0
& ~ c5_1(a734)
& c4_1(a734) )
| ! [X5] :
( ndr1_0
=> ( ( ndr1_1(X5)
& ~ c5_2(X5,a735)
& c1_2(X5,a735)
& c4_2(X5,a735) )
| ~ c4_1(X5)
| c5_1(X5) ) ) )
& ( ~ c1_0
| c2_0
| ( ndr1_0
& ndr1_1(a736)
& c5_2(a736,a737)
& ~ c4_2(a736,a737)
& ~ c3_2(a736,a737)
& c4_1(a736)
& ~ c3_1(a736) ) )
& ( c4_0
| ! [X6] :
( ndr1_0
=> ( ~ c1_1(X6)
| c4_1(X6)
| c3_1(X6) ) )
| ( ndr1_0
& ndr1_1(a738)
& ~ c4_2(a738,a739)
& ~ c1_2(a738,a739)
& ~ c5_2(a738,a739)
& ndr1_1(a738)
& c1_2(a738,a740)
& ~ c5_2(a738,a740) ) )
& ( ( ndr1_0
& c2_1(a741)
& c3_1(a741)
& ~ c4_1(a741) )
| ~ c4_0 )
& ( ( ndr1_0
& ndr1_1(a742)
& ~ c4_2(a742,a743)
& ~ c1_2(a742,a743)
& c2_2(a742,a743)
& ! [X7] :
( ndr1_1(a742)
=> ( c4_2(a742,X7)
| c1_2(a742,X7)
| c3_2(a742,X7) ) )
& c3_1(a742) )
| ( ndr1_0
& c3_1(a744)
& ndr1_1(a744)
& c3_2(a744,a745)
& ~ c4_2(a744,a745)
& c1_2(a744,a745)
& ~ c5_1(a744) )
| ! [X8] :
( ndr1_0
=> ( ( ndr1_1(X8)
& c5_2(X8,a746)
& c1_2(X8,a746) )
| ! [X9] :
( ndr1_1(X8)
=> ( ~ c5_2(X8,X9)
| ~ c3_2(X8,X9)
| ~ c1_2(X8,X9) ) )
| ~ c5_1(X8) ) ) )
& ( ( ndr1_0
& ndr1_1(a747)
& ~ c4_2(a747,a748)
& ~ c2_2(a747,a748)
& ~ c3_2(a747,a748)
& ! [X10] :
( ndr1_1(a747)
=> ( c1_2(a747,X10)
| ~ c3_2(a747,X10) ) )
& ndr1_1(a747)
& ~ c2_2(a747,a749)
& c3_2(a747,a749)
& ~ c4_2(a747,a749) )
| ~ c4_0
| c5_0 )
& ( ~ c4_0
| c1_0 )
& ( c2_0
| ( ndr1_0
& ~ c2_1(a750)
& ndr1_1(a750)
& c4_2(a750,a751)
& ~ c1_2(a750,a751)
& c2_2(a750,a751)
& ! [X11] :
( ndr1_1(a750)
=> ( ~ c2_2(a750,X11)
| ~ c1_2(a750,X11) ) ) )
| ! [X12] :
( ndr1_0
=> ( ( ndr1_1(X12)
& c3_2(X12,a752)
& c5_2(X12,a752) )
| ! [X13] :
( ndr1_1(X12)
=> ( ~ c4_2(X12,X13)
| c3_2(X12,X13)
| ~ c5_2(X12,X13) ) )
| ! [X14] :
( ndr1_1(X12)
=> ( ~ c4_2(X12,X14)
| ~ c1_2(X12,X14)
| ~ c3_2(X12,X14) ) ) ) ) )
& ( ~ c4_0
| c3_0
| ! [X15] :
( ndr1_0
=> ( ! [X16] :
( ndr1_1(X15)
=> ( ~ c3_2(X15,X16)
| ~ c2_2(X15,X16) ) )
| c4_1(X15)
| c5_1(X15) ) ) )
& ( ~ c4_0
| ! [X17] :
( ndr1_0
=> ( ( ndr1_1(X17)
& c2_2(X17,a753)
& ~ c5_2(X17,a753)
& ~ c1_2(X17,a753) )
| ~ c2_1(X17)
| ~ c1_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c5_1(X18)
| c3_1(X18)
| ! [X19] :
( ndr1_1(X18)
=> ( ~ c3_2(X18,X19)
| c2_2(X18,X19)
| ~ c1_2(X18,X19) ) ) ) ) )
& ( ~ c2_0
| c3_0 )
& ( ! [X20] :
( ndr1_0
=> ( c1_1(X20)
| ( ndr1_1(X20)
& c3_2(X20,a754)
& ~ c5_2(X20,a754) )
| ! [X21] :
( ndr1_1(X20)
=> ( ~ c4_2(X20,X21)
| c3_2(X20,X21)
| c5_2(X20,X21) ) ) ) )
| c4_0
| c2_0 )
& ( ! [X22] :
( ndr1_0
=> ( ( ndr1_1(X22)
& c3_2(X22,a755)
& ~ c4_2(X22,a755) )
| c4_1(X22)
| ( ndr1_1(X22)
& c1_2(X22,a756)
& c5_2(X22,a756)
& ~ c4_2(X22,a756) ) ) )
| ~ c2_0
| c1_0 )
& ( ~ c2_0
| ( ndr1_0
& c4_1(a757)
& ~ c1_1(a757) ) )
& ( c4_0
| ~ c5_0 )
& ( c1_0
| ! [X23] :
( ndr1_0
=> ( ~ c2_1(X23)
| ! [X24] :
( ndr1_1(X23)
=> ( c1_2(X23,X24)
| ~ c4_2(X23,X24) ) )
| ! [X25] :
( ndr1_1(X23)
=> ( ~ c2_2(X23,X25)
| c4_2(X23,X25)
| c5_2(X23,X25) ) ) ) ) )
& ( ! [X26] :
( ndr1_0
=> ( ! [X27] :
( ndr1_1(X26)
=> ( c1_2(X26,X27)
| ~ c4_2(X26,X27) ) )
| ( ndr1_1(X26)
& c5_2(X26,a758)
& ~ c2_2(X26,a758) )
| c1_1(X26) ) )
| ( ndr1_0
& c3_1(a759)
& ndr1_1(a759)
& ~ c1_2(a759,a760)
& ~ c3_2(a759,a760)
& c4_2(a759,a760)
& ! [X28] :
( ndr1_1(a759)
=> ( ~ c5_2(a759,X28)
| ~ c2_2(a759,X28)
| c1_2(a759,X28) ) ) ) )
& ( ! [X29] :
( ndr1_0
=> ( ~ c5_1(X29)
| ! [X30] :
( ndr1_1(X29)
=> ( ~ c1_2(X29,X30)
| ~ c2_2(X29,X30) ) )
| ~ c2_1(X29) ) )
| ~ c3_0
| ! [X31] :
( ndr1_0
=> ( ~ c3_1(X31)
| ( ndr1_1(X31)
& c3_2(X31,a761)
& ~ c1_2(X31,a761)
& c5_2(X31,a761) ) ) ) )
& ( ! [X32] :
( ndr1_0
=> ( ! [X33] :
( ndr1_1(X32)
=> ( ~ c1_2(X32,X33)
| c5_2(X32,X33)
| c2_2(X32,X33) ) )
| c5_1(X32) ) )
| ! [X34] :
( ndr1_0
=> ( ( ndr1_1(X34)
& c3_2(X34,a762)
& c2_2(X34,a762) )
| ~ c2_1(X34) ) ) )
& ( ~ c4_0
| ! [X35] :
( ndr1_0
=> ( c2_1(X35)
| ! [X36] :
( ndr1_1(X35)
=> ( ~ c1_2(X35,X36)
| c3_2(X35,X36)
| ~ c2_2(X35,X36) ) )
| ~ c1_1(X35) ) ) )
& ( ! [X37] :
( ndr1_0
=> ( c3_1(X37)
| ! [X38] :
( ndr1_1(X37)
=> ( ~ c5_2(X37,X38)
| ~ c2_2(X37,X38)
| c4_2(X37,X38) ) )
| ~ c2_1(X37) ) )
| c2_0
| ( ndr1_0
& ndr1_1(a763)
& c1_2(a763,a764)
& c2_2(a763,a764)
& c5_2(a763,a764)
& ! [X39] :
( ndr1_1(a763)
=> ( c2_2(a763,X39)
| c5_2(a763,X39)
| c4_2(a763,X39) ) )
& ~ c2_1(a763) ) )
& ( ~ c1_0
| c4_0
| ! [X40] :
( ndr1_0
=> ( c4_1(X40)
| ! [X41] :
( ndr1_1(X40)
=> ( c2_2(X40,X41)
| c1_2(X40,X41)
| ~ c3_2(X40,X41) ) )
| c3_1(X40) ) ) )
& ( ~ c4_0
| ( ndr1_0
& c5_1(a765)
& ! [X42] :
( ndr1_1(a765)
=> ( c1_2(a765,X42)
| c2_2(a765,X42)
| ~ c3_2(a765,X42) ) )
& ~ c4_1(a765) )
| ~ c3_0 )
& ( ! [X43] :
( ndr1_0
=> ( ( ndr1_1(X43)
& ~ c2_2(X43,a766)
& c3_2(X43,a766)
& ~ c1_2(X43,a766) )
| c5_1(X43)
| ! [X44] :
( ndr1_1(X43)
=> ( c3_2(X43,X44)
| ~ c5_2(X43,X44) ) ) ) )
| c1_0
| ( ndr1_0
& ndr1_1(a767)
& ~ c5_2(a767,a768)
& c4_2(a767,a768)
& c3_2(a767,a768)
& ~ c4_1(a767)
& c5_1(a767) ) )
& ( ( ndr1_0
& ndr1_1(a769)
& c4_2(a769,a770)
& c3_2(a769,a770)
& ~ c2_2(a769,a770)
& ~ c3_1(a769)
& ! [X45] :
( ndr1_1(a769)
=> ( c1_2(a769,X45)
| c3_2(a769,X45)
| c4_2(a769,X45) ) ) )
| ~ c1_0
| ~ c3_0 )
& ( c4_0
| c1_0
| ( ndr1_0
& ! [X46] :
( ndr1_1(a771)
=> ( ~ c2_2(a771,X46)
| c3_2(a771,X46)
| ~ c5_2(a771,X46) ) )
& c4_1(a771) ) )
& ( c1_0
| ( ndr1_0
& c2_1(a772)
& c5_1(a772)
& ndr1_1(a772)
& ~ c1_2(a772,a773)
& ~ c4_2(a772,a773)
& c5_2(a772,a773) )
| ( ndr1_0
& ! [X47] :
( ndr1_1(a774)
=> ( c1_2(a774,X47)
| ~ c4_2(a774,X47) ) )
& ! [X48] :
( ndr1_1(a774)
=> ( c2_2(a774,X48)
| ~ c1_2(a774,X48) ) )
& c3_1(a774) ) ) ) ).
%--------------------------------------------------------------------------