TPTP Problem File: SYN542+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN542+1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=6, R=1, L=54, K=3, D=1, P=0, Index=075
% 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-6-1-54-3-1-075.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v5.5.0, 0.40 v5.3.0, 0.50 v5.0.0, 0.33 v4.1.0, 0.67 v4.0.1, 0.33 v3.7.0, 0.00 v3.5.0, 0.25 v3.4.0, 0.50 v3.3.0, 0.33 v3.2.0, 0.50 v3.1.0, 0.67 v2.6.0, 0.50 v2.5.0, 0.33 v2.2.1, 0.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 712 ( 0 equ)
% Maximal formula atoms : 712 ( 712 avg)
% Number of connectives : 992 ( 281 ~; 337 |; 289 &)
% ( 0 <=>; 85 =>; 0 <=; 0 <~>)
% Maximal formula depth : 116 ( 116 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 66 ( 66 usr; 60 prp; 0-1 aty)
% Number of functors : 59 ( 59 usr; 59 con; 0-0 aty)
% Number of variables : 85 ( 85 !; 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,
~ ( ( ~ hskp0
| ( ndr1_0
& c2_1(a1)
& c4_1(a1)
& ~ c0_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& ~ c0_1(a3)
& ~ c3_1(a3)
& ~ c5_1(a3) ) )
& ( ~ hskp2
| ( ndr1_0
& c1_1(a5)
& ~ c0_1(a5)
& ~ c2_1(a5) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a6)
& c3_1(a6)
& ~ c5_1(a6) ) )
& ( ~ hskp4
| ( ndr1_0
& c2_1(a7)
& ~ c3_1(a7)
& ~ c4_1(a7) ) )
& ( ~ hskp5
| ( ndr1_0
& c1_1(a8)
& c4_1(a8)
& ~ c0_1(a8) ) )
& ( ~ hskp6
| ( ndr1_0
& c1_1(a9)
& ~ c2_1(a9)
& ~ c3_1(a9) ) )
& ( ~ hskp7
| ( ndr1_0
& ~ c2_1(a10)
& ~ c3_1(a10)
& ~ c4_1(a10) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a11)
& c3_1(a11)
& ~ c4_1(a11) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a12)
& ~ c1_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a14)
& c2_1(a14)
& ~ c4_1(a14) ) )
& ( ~ hskp11
| ( ndr1_0
& c3_1(a15)
& c4_1(a15)
& ~ c1_1(a15) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ c0_1(a17)
& ~ c1_1(a17)
& ~ c2_1(a17) ) )
& ( ~ hskp13
| ( ndr1_0
& c5_1(a19)
& ~ c0_1(a19)
& ~ c3_1(a19) ) )
& ( ~ hskp14
| ( ndr1_0
& c0_1(a20)
& ~ c2_1(a20)
& ~ c5_1(a20) ) )
& ( ~ hskp15
| ( ndr1_0
& c4_1(a21)
& ~ c2_1(a21)
& ~ c5_1(a21) ) )
& ( ~ hskp16
| ( ndr1_0
& ~ c0_1(a22)
& ~ c4_1(a22)
& ~ c5_1(a22) ) )
& ( ~ hskp17
| ( ndr1_0
& c2_1(a23)
& c3_1(a23)
& ~ c1_1(a23) ) )
& ( ~ hskp18
| ( ndr1_0
& c3_1(a24)
& c4_1(a24)
& ~ c0_1(a24) ) )
& ( ~ hskp19
| ( ndr1_0
& c2_1(a25)
& ~ c1_1(a25)
& ~ c4_1(a25) ) )
& ( ~ hskp20
| ( ndr1_0
& c2_1(a26)
& c5_1(a26)
& ~ c0_1(a26) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ c0_1(a27)
& ~ c1_1(a27)
& ~ c4_1(a27) ) )
& ( ~ hskp22
| ( ndr1_0
& c0_1(a28)
& ~ c1_1(a28)
& ~ c5_1(a28) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a29)
& ~ c4_1(a29)
& ~ c5_1(a29) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ c0_1(a30)
& ~ c2_1(a30)
& ~ c4_1(a30) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a31)
& c1_1(a31)
& ~ c4_1(a31) ) )
& ( ~ hskp26
| ( ndr1_0
& c1_1(a32)
& c3_1(a32)
& ~ c0_1(a32) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a33)
& c2_1(a33)
& ~ c0_1(a33) ) )
& ( ~ hskp28
| ( ndr1_0
& c5_1(a34)
& ~ c0_1(a34)
& ~ c4_1(a34) ) )
& ( ~ hskp29
| ( ndr1_0
& c2_1(a35)
& c5_1(a35)
& ~ c3_1(a35) ) )
& ( ~ hskp30
| ( ndr1_0
& c4_1(a36)
& c5_1(a36)
& ~ c2_1(a36) ) )
& ( ~ hskp31
| ( ndr1_0
& ~ c1_1(a37)
& ~ c2_1(a37)
& ~ c3_1(a37) ) )
& ( ~ hskp32
| ( ndr1_0
& ~ c1_1(a41)
& ~ c3_1(a41)
& ~ c5_1(a41) ) )
& ( ~ hskp33
| ( ndr1_0
& c0_1(a45)
& ~ c2_1(a45)
& ~ c3_1(a45) ) )
& ( ~ hskp34
| ( ndr1_0
& c3_1(a46)
& c4_1(a46)
& ~ c2_1(a46) ) )
& ( ~ hskp35
| ( ndr1_0
& c2_1(a49)
& ~ c0_1(a49)
& ~ c4_1(a49) ) )
& ( ~ hskp36
| ( ndr1_0
& ~ c1_1(a50)
& ~ c3_1(a50)
& ~ c4_1(a50) ) )
& ( ~ hskp37
| ( ndr1_0
& c1_1(a51)
& c3_1(a51)
& ~ c5_1(a51) ) )
& ( ~ hskp38
| ( ndr1_0
& c3_1(a54)
& ~ c0_1(a54)
& ~ c1_1(a54) ) )
& ( ~ hskp39
| ( ndr1_0
& ~ c0_1(a59)
& ~ c2_1(a59)
& ~ c5_1(a59) ) )
& ( ~ hskp40
| ( ndr1_0
& c0_1(a61)
& ~ c4_1(a61)
& ~ c5_1(a61) ) )
& ( ~ hskp41
| ( ndr1_0
& c1_1(a62)
& c5_1(a62)
& ~ c4_1(a62) ) )
& ( ~ hskp42
| ( ndr1_0
& c0_1(a66)
& c5_1(a66)
& ~ c1_1(a66) ) )
& ( ~ hskp43
| ( ndr1_0
& c3_1(a67)
& ~ c2_1(a67)
& ~ c5_1(a67) ) )
& ( ~ hskp44
| ( ndr1_0
& ~ c3_1(a68)
& ~ c4_1(a68)
& ~ c5_1(a68) ) )
& ( ~ hskp45
| ( ndr1_0
& c3_1(a71)
& c5_1(a71)
& ~ c0_1(a71) ) )
& ( ~ hskp46
| ( ndr1_0
& c2_1(a73)
& ~ c0_1(a73)
& ~ c1_1(a73) ) )
& ( ~ hskp47
| ( ndr1_0
& c3_1(a75)
& c5_1(a75)
& ~ c1_1(a75) ) )
& ( ~ hskp48
| ( ndr1_0
& c5_1(a76)
& ~ c1_1(a76)
& ~ c3_1(a76) ) )
& ( ~ hskp49
| ( ndr1_0
& c0_1(a2)
& c1_1(a2)
& c4_1(a2) ) )
& ( ~ hskp50
| ( ndr1_0
& c2_1(a4)
& c4_1(a4)
& c5_1(a4) ) )
& ( ~ hskp51
| ( ndr1_0
& c0_1(a40)
& c2_1(a40)
& c4_1(a40) ) )
& ( ~ hskp52
| ( ndr1_0
& c1_1(a42)
& c2_1(a42)
& c5_1(a42) ) )
& ( ~ hskp53
| ( ndr1_0
& c0_1(a44)
& c3_1(a44)
& c4_1(a44) ) )
& ( ~ hskp54
| ( ndr1_0
& c1_1(a47)
& c2_1(a47)
& c4_1(a47) ) )
& ( ~ hskp55
| ( ndr1_0
& c2_1(a56)
& c3_1(a56)
& c4_1(a56) ) )
& ( ~ hskp56
| ( ndr1_0
& c0_1(a60)
& c1_1(a60)
& c2_1(a60) ) )
& ( ~ hskp57
| ( ndr1_0
& c0_1(a63)
& c2_1(a63)
& c3_1(a63) ) )
& ( ~ hskp58
| ( ndr1_0
& c1_1(a64)
& c2_1(a64)
& c3_1(a64) ) )
& ( ! [U] :
( ndr1_0
=> ( c0_1(U)
| c1_1(U)
| c2_1(U) ) )
| ! [V] :
( ndr1_0
=> ( c3_1(V)
| ~ c2_1(V)
| ~ c4_1(V) ) )
| ! [W] :
( ndr1_0
=> ( ~ c0_1(W)
| ~ c4_1(W)
| ~ c5_1(W) ) ) )
& ( ! [X] :
( ndr1_0
=> ( c0_1(X)
| c1_1(X)
| ~ c4_1(X) ) )
| ! [Y] :
( ndr1_0
=> ( c0_1(Y)
| c2_1(Y)
| c3_1(Y) ) )
| hskp0 )
& ( ! [Z] :
( ndr1_0
=> ( c0_1(Z)
| c2_1(Z)
| c3_1(Z) ) )
| ! [X1] :
( ndr1_0
=> ( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c5_1(X1) ) )
| hskp49 )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c2_1(X2)
| c4_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c1_1(X3)
| c3_1(X3)
| c4_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( c1_1(X4)
| c5_1(X4)
| ~ c3_1(X4) ) ) )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c2_1(X5)
| c5_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c4_1(X6)
| ~ c1_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c1_1(X7)
| c4_1(X7)
| ~ c0_1(X7) ) ) )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c2_1(X8)
| ~ c5_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c0_1(X9)
| ~ c2_1(X9)
| ~ c5_1(X9) ) )
| hskp1 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c3_1(X10)
| c5_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| ~ c1_1(X11)
| ~ c4_1(X11) ) )
| hskp50 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c3_1(X12)
| ~ c2_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( ~ c2_1(X13)
| ~ c3_1(X13)
| ~ c4_1(X13) ) )
| hskp2 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c4_1(X14)
| c5_1(X14) ) )
| hskp3
| hskp4 )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c4_1(X15)
| ~ c2_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c1_1(X16)
| c2_1(X16)
| ~ c0_1(X16) ) )
| hskp5 )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c5_1(X17)
| ~ c2_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| ~ c2_1(X18)
| ~ c4_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c3_1(X19)
| ~ c0_1(X19)
| ~ c1_1(X19) ) ) )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| ~ c1_1(X20)
| ~ c2_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c4_1(X21)
| c5_1(X21)
| ~ c0_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c5_1(X22)
| ~ c0_1(X22)
| ~ c3_1(X22) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| ~ c1_1(X23)
| ~ c3_1(X23) ) )
| hskp6
| hskp7 )
& ( ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| ~ c2_1(X24)
| ~ c3_1(X24) ) )
| hskp8
| hskp9 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| ~ c2_1(X25)
| ~ c5_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c1_1(X26)
| ~ c0_1(X26)
| ~ c2_1(X26) ) )
| hskp4 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| ~ c3_1(X27)
| ~ c5_1(X27) ) )
| hskp10
| hskp11 )
& ( ! [X28] :
( ndr1_0
=> ( c1_1(X28)
| c2_1(X28)
| c4_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( c5_1(X29)
| ~ c0_1(X29)
| ~ c1_1(X29) ) )
| hskp0 )
& ( ! [X30] :
( ndr1_0
=> ( c1_1(X30)
| c2_1(X30)
| ~ c4_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( ~ c1_1(X31)
| ~ c2_1(X31)
| ~ c4_1(X31) ) )
| hskp12 )
& ( ! [X32] :
( ndr1_0
=> ( c1_1(X32)
| c2_1(X32)
| ~ c5_1(X32) ) )
| hskp4
| hskp13 )
& ( ! [X33] :
( ndr1_0
=> ( c1_1(X33)
| c3_1(X33)
| c4_1(X33) ) )
| hskp14
| hskp15 )
& ( ! [X34] :
( ndr1_0
=> ( c1_1(X34)
| c3_1(X34)
| ~ c4_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c1_1(X35)
| c5_1(X35)
| ~ c0_1(X35) ) )
| hskp16 )
& ( ! [X36] :
( ndr1_0
=> ( c1_1(X36)
| c4_1(X36)
| ~ c0_1(X36) ) )
| hskp17
| hskp18 )
& ( ! [X37] :
( ndr1_0
=> ( c1_1(X37)
| c4_1(X37)
| ~ c2_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c1_1(X38)
| ~ c4_1(X38)
| ~ c5_1(X38) ) )
| hskp19 )
& ( ! [X39] :
( ndr1_0
=> ( c1_1(X39)
| c5_1(X39)
| ~ c0_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c2_1(X40)
| ~ c1_1(X40)
| ~ c5_1(X40) ) )
| hskp20 )
& ( ! [X41] :
( ndr1_0
=> ( c1_1(X41)
| c5_1(X41)
| ~ c4_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c2_1(X42)
| ~ c1_1(X42)
| ~ c5_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( c3_1(X43)
| ~ c1_1(X43)
| ~ c5_1(X43) ) ) )
& ( ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| ~ c0_1(X44)
| ~ c2_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c1_1(X45)
| ~ c2_1(X45)
| ~ c5_1(X45) ) )
| hskp21 )
& ( ! [X46] :
( ndr1_0
=> ( c1_1(X46)
| ~ c0_1(X46)
| ~ c4_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| ~ c2_1(X47)
| ~ c3_1(X47) ) )
| hskp22 )
& ( ! [X48] :
( ndr1_0
=> ( c1_1(X48)
| ~ c2_1(X48)
| ~ c3_1(X48) ) )
| ! [X49] :
( ndr1_0
=> ( c4_1(X49)
| ~ c0_1(X49)
| ~ c1_1(X49) ) )
| hskp23 )
& ( ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| ~ c2_1(X50)
| ~ c4_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c3_1(X51)
| c4_1(X51)
| ~ c2_1(X51) ) )
| hskp24 )
& ( ! [X52] :
( ndr1_0
=> ( c2_1(X52)
| c3_1(X52)
| ~ c5_1(X52) ) )
| ! [X53] :
( ndr1_0
=> ( c2_1(X53)
| c4_1(X53)
| ~ c3_1(X53) ) )
| hskp25 )
& ( ! [X54] :
( ndr1_0
=> ( c2_1(X54)
| c3_1(X54)
| ~ c5_1(X54) ) )
| ! [X55] :
( ndr1_0
=> ( c2_1(X55)
| ~ c1_1(X55)
| ~ c4_1(X55) ) )
| hskp26 )
& ( ! [X56] :
( ndr1_0
=> ( c2_1(X56)
| c4_1(X56)
| ~ c0_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( c4_1(X57)
| c5_1(X57)
| ~ c1_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( c4_1(X58)
| ~ c0_1(X58)
| ~ c5_1(X58) ) ) )
& ( ! [X59] :
( ndr1_0
=> ( c2_1(X59)
| c4_1(X59)
| ~ c0_1(X59) ) )
| hskp27
| hskp28 )
& ( ! [X60] :
( ndr1_0
=> ( c2_1(X60)
| ~ c0_1(X60)
| ~ c1_1(X60) ) )
| hskp29
| hskp30 )
& ( ! [X61] :
( ndr1_0
=> ( c2_1(X61)
| ~ c0_1(X61)
| ~ c4_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c3_1(X62)
| c5_1(X62)
| ~ c4_1(X62) ) )
| hskp31 )
& ( ! [X63] :
( ndr1_0
=> ( c3_1(X63)
| c4_1(X63)
| ~ c0_1(X63) ) )
| hskp27
| hskp0 )
& ( ! [X64] :
( ndr1_0
=> ( c3_1(X64)
| c4_1(X64)
| ~ c2_1(X64) ) )
| hskp51
| hskp32 )
& ( ! [X65] :
( ndr1_0
=> ( c3_1(X65)
| ~ c1_1(X65)
| ~ c4_1(X65) ) )
| hskp52
| hskp24 )
& ( ! [X66] :
( ndr1_0
=> ( c4_1(X66)
| c5_1(X66)
| ~ c3_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c4_1(X67)
| ~ c1_1(X67)
| ~ c2_1(X67) ) )
| hskp53 )
& ( ! [X68] :
( ndr1_0
=> ( c4_1(X68)
| c5_1(X68)
| ~ c3_1(X68) ) )
| hskp33
| hskp34 )
& ( ! [X69] :
( ndr1_0
=> ( c4_1(X69)
| ~ c0_1(X69)
| ~ c2_1(X69) ) )
| hskp54
| hskp8 )
& ( ! [X70] :
( ndr1_0
=> ( c4_1(X70)
| ~ c0_1(X70)
| ~ c2_1(X70) ) )
| hskp35
| hskp36 )
& ( ! [X71] :
( ndr1_0
=> ( c4_1(X71)
| ~ c1_1(X71)
| ~ c3_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( c5_1(X72)
| ~ c2_1(X72)
| ~ c4_1(X72) ) )
| hskp37 )
& ( ! [X73] :
( ndr1_0
=> ( c5_1(X73)
| ~ c0_1(X73)
| ~ c1_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( c5_1(X74)
| ~ c1_1(X74)
| ~ c4_1(X74) ) )
| hskp22 )
& ( ! [X75] :
( ndr1_0
=> ( c5_1(X75)
| ~ c2_1(X75)
| ~ c4_1(X75) ) )
| hskp34
| hskp38 )
& ( ! [X76] :
( ndr1_0
=> ( ~ c1_1(X76)
| ~ c2_1(X76)
| ~ c3_1(X76) ) )
| hskp37
| hskp55 )
& ( ! [X77] :
( ndr1_0
=> ( ~ c1_1(X77)
| ~ c4_1(X77)
| ~ c5_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( ~ c2_1(X78)
| ~ c4_1(X78)
| ~ c5_1(X78) ) )
| hskp8 )
& ( ! [X79] :
( ndr1_0
=> ( ~ c2_1(X79)
| ~ c3_1(X79)
| ~ c4_1(X79) ) )
| hskp20
| hskp39 )
& ( hskp56
| hskp40
| hskp41 )
& ( hskp57
| hskp58
| hskp7 )
& ( hskp42
| hskp43
| hskp44 )
& ( hskp33
| hskp34
| hskp45 )
& ( hskp17
| hskp46
| hskp9 )
& ( hskp47
| hskp48
| hskp44 ) ) ).
%--------------------------------------------------------------------------