TPTP Problem File: SYN436+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN436+1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=4, R=1, L=40, K=3, D=1, P=0, Index=078
% 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-4-1-40-3-1-078.dfg [Wei97]
% Status : Theorem
% Rating : 0.00 v6.1.0, 0.33 v6.0.0, 0.00 v5.5.0, 0.33 v5.4.0, 0.44 v5.3.0, 0.36 v5.2.0, 0.25 v5.0.0, 0.50 v4.1.0, 0.56 v4.0.1, 0.53 v4.0.0, 0.50 v3.7.0, 0.67 v3.5.0, 0.38 v3.4.0, 0.33 v3.1.0, 0.67 v2.7.0, 0.33 v2.5.0, 0.67 v2.4.0, 0.33 v2.2.1, 0.50 v2.2.0, 0.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 446 ( 0 equ)
% Maximal formula atoms : 446 ( 446 avg)
% Number of connectives : 605 ( 160 ~; 231 |; 151 &)
% ( 0 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 71 ( 71 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 33 ( 33 usr; 29 prp; 0-1 aty)
% Number of functors : 28 ( 28 usr; 28 con; 0-0 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% SPC : FOF_THM_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,
~ ( ( ~ hskp0
| ( ndr1_0
& c3_1(a1)
& ~ c0_1(a1)
& ~ c2_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c2_1(a2)
& ~ c0_1(a2)
& ~ c3_1(a2) ) )
& ( ~ hskp2
| ( ndr1_0
& c1_1(a4)
& ~ c2_1(a4)
& ~ c3_1(a4) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ c1_1(a5)
& ~ c2_1(a5)
& ~ c3_1(a5) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a6)
& c3_1(a6)
& ~ c2_1(a6) ) )
& ( ~ hskp5
| ( ndr1_0
& c1_1(a7)
& c3_1(a7)
& ~ c0_1(a7) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a8)
& c1_1(a8)
& ~ c2_1(a8) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a14)
& c3_1(a14)
& ~ c2_1(a14) ) )
& ( ~ hskp8
| ( ndr1_0
& c0_1(a15)
& ~ c1_1(a15)
& ~ c2_1(a15) ) )
& ( ~ hskp9
| ( ndr1_0
& c0_1(a16)
& ~ c2_1(a16)
& ~ c3_1(a16) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a18)
& c2_1(a18)
& ~ c3_1(a18) ) )
& ( ~ hskp11
| ( ndr1_0
& c2_1(a19)
& ~ c1_1(a19)
& ~ c3_1(a19) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ c0_1(a21)
& ~ c1_1(a21)
& ~ c2_1(a21) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ c0_1(a22)
& ~ c2_1(a22)
& ~ c3_1(a22) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a24)
& ~ c0_1(a24)
& ~ c1_1(a24) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a25)
& c1_1(a25)
& ~ c3_1(a25) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a30)
& ~ c0_1(a30)
& ~ c2_1(a30) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a31)
& c2_1(a31)
& ~ c1_1(a31) ) )
& ( ~ hskp18
| ( ndr1_0
& ~ c0_1(a32)
& ~ c1_1(a32)
& ~ c3_1(a32) ) )
& ( ~ hskp19
| ( ndr1_0
& c2_1(a33)
& c3_1(a33)
& ~ c0_1(a33) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a37)
& ~ c0_1(a37)
& ~ c3_1(a37) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a42)
& c3_1(a42)
& ~ c1_1(a42) ) )
& ( ~ hskp22
| ( ndr1_0
& c0_1(a45)
& ~ c1_1(a45)
& ~ c3_1(a45) ) )
& ( ~ hskp23
| ( ndr1_0
& c3_1(a53)
& ~ c0_1(a53)
& ~ c1_1(a53) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a3)
& c2_1(a3)
& c3_1(a3) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a9)
& c1_1(a9)
& c2_1(a9) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a10)
& c2_1(a10)
& c3_1(a10) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a11)
& c1_1(a11)
& c3_1(a11) ) )
& ( ! [U] :
( ndr1_0
=> ( c0_1(U)
| c1_1(U)
| c2_1(U) ) )
| ! [V] :
( ndr1_0
=> ( c0_1(V)
| c2_1(V)
| c3_1(V) ) )
| ! [W] :
( ndr1_0
=> ( c0_1(W)
| c2_1(W)
| ~ c3_1(W) ) ) )
& ( ! [X] :
( ndr1_0
=> ( c0_1(X)
| c1_1(X)
| c2_1(X) ) )
| ! [Y] :
( ndr1_0
=> ( c1_1(Y)
| ~ c0_1(Y)
| ~ c2_1(Y) ) )
| hskp0 )
& ( ! [Z] :
( ndr1_0
=> ( c0_1(Z)
| c1_1(Z)
| c3_1(Z) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ) ) )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| c3_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c1_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X3) ) )
| hskp1 )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c3_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c3_1(X5)
| ~ c0_1(X5)
| ~ c1_1(X5) ) )
| hskp24 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| ~ c2_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c3_1(X7)
| ~ c1_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c1_1(X8)
| ~ c2_1(X8)
| ~ c3_1(X8) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c1_1(X9)
| ~ c2_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c1_1(X10)
| c3_1(X10)
| ~ c0_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c2_1(X11)
| c3_1(X11)
| ~ c1_1(X11) ) ) )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| ~ c2_1(X12) ) )
| hskp2
| hskp3 )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c1_1(X14)
| c2_1(X14)
| ~ c0_1(X14) ) )
| hskp4 )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c2_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c3_1(X16)
| ~ c2_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( c1_1(X17)
| c2_1(X17)
| c3_1(X17) ) ) )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c2_1(X18)
| c3_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c1_1(X19)
| c3_1(X19)
| ~ c0_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c2_1(X20)
| ~ c1_1(X20)
| ~ c3_1(X20) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c2_1(X21)
| ~ c1_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c3_1(X22)
| ~ c1_1(X22)
| ~ c2_1(X22) ) )
| hskp5 )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c2_1(X23)
| ~ c3_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c1_1(X24)
| ~ c2_1(X24)
| ~ c3_1(X24) ) )
| hskp6 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c3_1(X25)
| ~ c2_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c2_1(X26)
| c3_1(X26)
| ~ c1_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c0_1(X27)
| ~ c1_1(X27)
| ~ c2_1(X27) ) ) )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c3_1(X28)
| ~ c2_1(X28) ) )
| hskp25
| hskp26 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| ~ c1_1(X29)
| ~ c2_1(X29) ) )
| hskp27
| hskp26 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| ~ c1_1(X30)
| ~ c2_1(X30) ) )
| hskp27
| hskp7 )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| ~ c1_1(X31)
| ~ c2_1(X31) ) )
| hskp8
| hskp9 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| ~ c1_1(X32)
| ~ c3_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c1_1(X33)
| c3_1(X33)
| ~ c0_1(X33) ) )
| hskp4 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| ~ c1_1(X34)
| ~ c3_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c1_1(X35)
| ~ c2_1(X35)
| ~ c3_1(X35) ) )
| hskp10 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| ~ c2_1(X36)
| ~ c3_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c3_1(X37)
| ~ c0_1(X37)
| ~ c2_1(X37) ) )
| hskp11 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| ~ c2_1(X38)
| ~ c3_1(X38) ) )
| hskp27
| hskp12 )
& ( ! [X39] :
( ndr1_0
=> ( c1_1(X39)
| c2_1(X39)
| ~ c0_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c1_1(X40)
| ~ c0_1(X40)
| ~ c3_1(X40) ) )
| hskp13 )
& ( ! [X41] :
( ndr1_0
=> ( c1_1(X41)
| c2_1(X41)
| ~ c0_1(X41) ) )
| hskp2
| hskp14 )
& ( ! [X42] :
( ndr1_0
=> ( c1_1(X42)
| c2_1(X42)
| ~ c3_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( c2_1(X43)
| ~ c0_1(X43)
| ~ c3_1(X43) ) )
| hskp15 )
& ( ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| c3_1(X44)
| ~ c2_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c0_1(X45)
| ~ c2_1(X45)
| ~ c3_1(X45) ) ) )
& ( ! [X46] :
( ndr1_0
=> ( c1_1(X46)
| c3_1(X46)
| ~ c2_1(X46) ) )
| hskp6
| hskp26 )
& ( ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| c3_1(X47)
| ~ c2_1(X47) ) )
| hskp7 )
& ( ! [X48] :
( ndr1_0
=> ( c2_1(X48)
| c3_1(X48)
| ~ c0_1(X48) ) )
| ! [X49] :
( ndr1_0
=> ( c2_1(X49)
| c3_1(X49)
| ~ c1_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c0_1(X50)
| ~ c2_1(X50)
| ~ c3_1(X50) ) ) )
& ( ! [X51] :
( ndr1_0
=> ( c2_1(X51)
| c3_1(X51)
| ~ c0_1(X51) ) )
| hskp26
| hskp16 )
& ( ! [X52] :
( ndr1_0
=> ( c2_1(X52)
| ~ c0_1(X52)
| ~ c3_1(X52) ) )
| hskp17
| hskp18 )
& ( ! [X53] :
( ndr1_0
=> ( c2_1(X53)
| ~ c1_1(X53)
| ~ c3_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c0_1(X54)
| ~ c1_1(X54)
| ~ c2_1(X54) ) )
| hskp19 )
& ( ! [X55] :
( ndr1_0
=> ( c2_1(X55)
| ~ c1_1(X55)
| ~ c3_1(X55) ) )
| hskp9
| hskp24 )
& ( ! [X56] :
( ndr1_0
=> ( c3_1(X56)
| ~ c0_1(X56)
| ~ c2_1(X56) ) )
| hskp26
| hskp20 )
& ( ! [X57] :
( ndr1_0
=> ( ~ c0_1(X57)
| ~ c1_1(X57)
| ~ c2_1(X57) ) )
| hskp6
| hskp10 )
& ( hskp25
| hskp17
| hskp21 )
& ( hskp6
| hskp26
| hskp22 )
& ( hskp17
| hskp8
| hskp4 )
& ( hskp7
| hskp9
| hskp13 )
& ( hskp24
| hskp23
| hskp0 ) ) ).
%--------------------------------------------------------------------------