TPTP Problem File: SYN478+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN478+1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=4, R=1, L=76, K=3, D=1, P=0, Index=006
% 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-4-1-76-3-1-006.dfg [Wei97]
% Status : Theorem
% Rating : 0.00 v6.1.0, 0.17 v6.0.0, 0.00 v5.5.0, 0.22 v5.4.0, 0.33 v5.3.0, 0.27 v5.2.0, 0.00 v5.0.0, 0.25 v4.1.0, 0.44 v4.0.1, 0.42 v4.0.0, 0.45 v3.7.0, 0.67 v3.5.0, 0.38 v3.4.0, 0.25 v3.3.0, 0.22 v3.2.0, 0.33 v3.1.0, 0.67 v2.7.0, 0.33 v2.6.0, 0.00 v2.5.0, 0.33 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 : 688 ( 0 equ)
% Maximal formula atoms : 688 ( 688 avg)
% Number of connectives : 916 ( 229 ~; 385 |; 199 &)
% ( 0 <=>; 103 =>; 0 <=; 0 <~>)
% Maximal formula depth : 110 ( 110 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 36 ( 36 usr; 32 prp; 0-1 aty)
% Number of functors : 31 ( 31 usr; 31 con; 0-0 aty)
% Number of variables : 103 ( 103 !; 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
& ~ c0_1(a1306)
& ~ c1_1(a1306)
& ~ c2_1(a1306) ) )
& ( ~ hskp1
| ( ndr1_0
& c3_1(a1308)
& ~ c1_1(a1308)
& ~ c2_1(a1308) ) )
& ( ~ hskp2
| ( ndr1_0
& c1_1(a1309)
& c3_1(a1309)
& ~ c2_1(a1309) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a1311)
& c2_1(a1311)
& ~ c1_1(a1311) ) )
& ( ~ hskp4
| ( ndr1_0
& c0_1(a1312)
& ~ c1_1(a1312)
& ~ c3_1(a1312) ) )
& ( ~ hskp5
| ( ndr1_0
& c1_1(a1314)
& ~ c0_1(a1314)
& ~ c3_1(a1314) ) )
& ( ~ hskp6
| ( ndr1_0
& c3_1(a1315)
& ~ c0_1(a1315)
& ~ c1_1(a1315) ) )
& ( ~ hskp7
| ( ndr1_0
& ~ c0_1(a1316)
& ~ c2_1(a1316)
& ~ c3_1(a1316) ) )
& ( ~ hskp8
| ( ndr1_0
& c2_1(a1319)
& ~ c0_1(a1319)
& ~ c3_1(a1319) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a1320)
& ~ c0_1(a1320)
& ~ c1_1(a1320) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a1321)
& c3_1(a1321)
& ~ c2_1(a1321) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a1324)
& c3_1(a1324)
& ~ c1_1(a1324) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a1325)
& c3_1(a1325)
& ~ c0_1(a1325) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ c1_1(a1326)
& ~ c2_1(a1326)
& ~ c3_1(a1326) ) )
& ( ~ hskp14
| ( ndr1_0
& c0_1(a1330)
& ~ c1_1(a1330)
& ~ c2_1(a1330) ) )
& ( ~ hskp15
| ( ndr1_0
& c1_1(a1331)
& c2_1(a1331)
& ~ c3_1(a1331) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a1333)
& ~ c2_1(a1333)
& ~ c3_1(a1333) ) )
& ( ~ hskp17
| ( ndr1_0
& c2_1(a1334)
& c3_1(a1334)
& ~ c0_1(a1334) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a1339)
& ~ c0_1(a1339)
& ~ c2_1(a1339) ) )
& ( ~ hskp19
| ( ndr1_0
& c0_1(a1344)
& c1_1(a1344)
& ~ c2_1(a1344) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a1348)
& c2_1(a1348)
& ~ c0_1(a1348) ) )
& ( ~ hskp21
| ( ndr1_0
& c3_1(a1352)
& ~ c0_1(a1352)
& ~ c2_1(a1352) ) )
& ( ~ hskp22
| ( ndr1_0
& c0_1(a1356)
& c1_1(a1356)
& ~ c3_1(a1356) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ c0_1(a1359)
& ~ c1_1(a1359)
& ~ c3_1(a1359) ) )
& ( ~ hskp24
| ( ndr1_0
& c2_1(a1370)
& ~ c1_1(a1370)
& ~ c3_1(a1370) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a1394)
& c2_1(a1394)
& ~ c3_1(a1394) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a1411)
& ~ c2_1(a1411)
& ~ c3_1(a1411) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a1307)
& c1_1(a1307)
& c2_1(a1307) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a1328)
& c2_1(a1328)
& c3_1(a1328) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a1338)
& c2_1(a1338)
& c3_1(a1338) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a1372)
& c1_1(a1372)
& c3_1(a1372) ) )
& ( ! [U] :
( ndr1_0
=> ( c0_1(U)
| c1_1(U)
| c2_1(U) ) )
| ! [V] :
( ndr1_0
=> ( c1_1(V)
| c3_1(V)
| ~ c2_1(V) ) )
| hskp0 )
& ( ! [W] :
( ndr1_0
=> ( c0_1(W)
| c1_1(W)
| c2_1(W) ) )
| ! [X] :
( ndr1_0
=> ( c2_1(X)
| ~ c1_1(X)
| ~ c3_1(X) ) )
| ! [Y] :
( ndr1_0
=> ( c3_1(Y)
| ~ c0_1(Y)
| ~ c1_1(Y) ) ) )
& ( ! [Z] :
( ndr1_0
=> ( c0_1(Z)
| c1_1(Z)
| c2_1(Z) ) )
| hskp27
| hskp1 )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| hskp2
| hskp1 )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| c3_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| ~ c2_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( c1_1(X4)
| c3_1(X4)
| ~ c2_1(X4) ) ) )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c3_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c2_1(X6)
| ~ c0_1(X6)
| ~ c3_1(X6) ) )
| hskp3 )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| ~ c2_1(X7) ) )
| hskp4
| hskp2 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| ~ c2_1(X8) ) )
| hskp5
| hskp6 )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c1_1(X9)
| ~ c3_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| ~ c1_1(X10)
| ~ c3_1(X10) ) )
| hskp7 )
& ( ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c2_1(X11)
| c3_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c3_1(X12)
| ~ c2_1(X12) ) )
| hskp6 )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c2_1(X13)
| c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| ~ c1_1(X14)
| ~ c2_1(X14) ) )
| hskp6 )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c2_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| ~ c2_1(X16)
| ~ c3_1(X16) ) )
| hskp8 )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c2_1(X17)
| c3_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( c2_1(X18)
| c3_1(X18)
| ~ c0_1(X18) ) )
| hskp9 )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c2_1(X19)
| c3_1(X19) ) )
| hskp10
| hskp6 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| ~ c1_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c2_1(X21)
| ~ c3_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c2_1(X22)
| c3_1(X22)
| ~ c1_1(X22) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c2_1(X23)
| ~ c1_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| c3_1(X24)
| ~ c1_1(X24) ) )
| hskp9 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| ~ c1_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c1_1(X26)
| c2_1(X26)
| c3_1(X26) ) )
| hskp11 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| ~ c1_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c1_1(X28)
| ~ c2_1(X28)
| ~ c3_1(X28) ) )
| hskp12 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c2_1(X29)
| ~ c3_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| ~ c1_1(X30)
| ~ c3_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c1_1(X31)
| ~ c0_1(X31)
| ~ c3_1(X31) ) ) )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c2_1(X32)
| ~ c3_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c1_1(X33)
| c3_1(X33)
| ~ c0_1(X33) ) )
| hskp13 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c3_1(X34)
| ~ c1_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c1_1(X35)
| c2_1(X35)
| c3_1(X35) ) )
| ! [X36] :
( ndr1_0
=> ( c3_1(X36)
| ~ c0_1(X36)
| ~ c1_1(X36) ) ) )
& ( ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| c3_1(X37)
| ~ c1_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38) ) )
| hskp12 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c3_1(X39)
| ~ c1_1(X39) ) )
| hskp28 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| c3_1(X40)
| ~ c2_1(X40) ) )
| ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| ~ c1_1(X41)
| ~ c3_1(X41) ) )
| hskp4 )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c3_1(X42)
| ~ c2_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| ~ c2_1(X43)
| ~ c3_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| ~ c0_1(X44)
| ~ c2_1(X44) ) ) )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| c3_1(X45)
| ~ c2_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| ~ c2_1(X46)
| ~ c3_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c0_1(X47)
| ~ c1_1(X47)
| ~ c3_1(X47) ) ) )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c3_1(X48)
| ~ c2_1(X48) ) )
| hskp14
| hskp15 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| ~ c1_1(X49)
| ~ c2_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( c2_1(X50)
| ~ c0_1(X50)
| ~ c3_1(X50) ) )
| hskp28 )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| ~ c1_1(X51)
| ~ c2_1(X51) ) )
| hskp16
| hskp17 )
& ( ! [X52] :
( ndr1_0
=> ( c0_1(X52)
| ~ c2_1(X52)
| ~ c3_1(X52) ) )
| ! [X53] :
( ndr1_0
=> ( c2_1(X53)
| ~ c0_1(X53)
| ~ c1_1(X53) ) )
| hskp0 )
& ( ! [X54] :
( ndr1_0
=> ( c1_1(X54)
| c2_1(X54)
| ~ c0_1(X54) ) )
| ! [X55] :
( ndr1_0
=> ( c1_1(X55)
| c3_1(X55)
| ~ c0_1(X55) ) )
| hskp15 )
& ( ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| c2_1(X56)
| ~ c0_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( c3_1(X57)
| ~ c0_1(X57)
| ~ c2_1(X57) ) )
| hskp14 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c2_1(X58)
| ~ c0_1(X58) ) )
| hskp29
| hskp18 )
& ( ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| c2_1(X59)
| ~ c0_1(X59) ) )
| hskp8
| hskp7 )
& ( ! [X60] :
( ndr1_0
=> ( c1_1(X60)
| c2_1(X60)
| ~ c3_1(X60) ) )
| ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| ~ c0_1(X61)
| ~ c2_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c2_1(X62)
| c3_1(X62)
| ~ c0_1(X62) ) ) )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| c2_1(X63)
| ~ c3_1(X63) ) )
| ! [X64] :
( ndr1_0
=> ( c3_1(X64)
| ~ c0_1(X64)
| ~ c1_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( c3_1(X65)
| ~ c1_1(X65)
| ~ c2_1(X65) ) ) )
& ( ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| c2_1(X66)
| ~ c3_1(X66) ) )
| hskp2
| hskp1 )
& ( ! [X67] :
( ndr1_0
=> ( c1_1(X67)
| c3_1(X67)
| ~ c0_1(X67) ) )
| hskp19
| hskp15 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| c3_1(X68)
| ~ c2_1(X68) ) )
| hskp10
| hskp1 )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| ~ c0_1(X69)
| ~ c2_1(X69) ) )
| hskp20
| hskp2 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c0_1(X70)
| ~ c2_1(X70) ) )
| hskp12
| hskp0 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c0_1(X71)
| ~ c2_1(X71) ) )
| hskp21
| hskp0 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| ~ c0_1(X72)
| ~ c3_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c2_1(X73)
| c3_1(X73)
| ~ c1_1(X73) ) )
| hskp20 )
& ( ! [X74] :
( ndr1_0
=> ( c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75) ) )
| hskp27 )
& ( ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| ~ c2_1(X76)
| ~ c3_1(X76) ) )
| hskp22
| hskp2 )
& ( ! [X77] :
( ndr1_0
=> ( c1_1(X77)
| ~ c2_1(X77)
| ~ c3_1(X77) ) )
| hskp22
| hskp23 )
& ( ! [X78] :
( ndr1_0
=> ( c2_1(X78)
| c3_1(X78)
| ~ c0_1(X78) ) )
| ! [X79] :
( ndr1_0
=> ( c3_1(X79)
| ~ c0_1(X79)
| ~ c1_1(X79) ) )
| hskp27 )
& ( ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| c3_1(X80)
| ~ c0_1(X80) ) )
| hskp4
| hskp17 )
& ( ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| c3_1(X81)
| ~ c1_1(X81) ) )
| hskp14
| hskp16 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| c3_1(X82)
| ~ c1_1(X82) ) )
| hskp14
| hskp13 )
& ( ! [X83] :
( ndr1_0
=> ( c3_1(X83)
| ~ c0_1(X83)
| ~ c1_1(X83) ) )
| hskp14
| hskp8 )
& ( ! [X84] :
( ndr1_0
=> ( c3_1(X84)
| ~ c0_1(X84)
| ~ c1_1(X84) ) )
| hskp20
| hskp24 )
& ( ! [X85] :
( ndr1_0
=> ( c3_1(X85)
| ~ c0_1(X85)
| ~ c2_1(X85) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c0_1(X86)
| ~ c1_1(X86)
| ~ c3_1(X86) ) )
| hskp11 )
& ( ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| ~ c0_1(X87)
| ~ c2_1(X87) ) )
| hskp30
| hskp18 )
& ( ! [X88] :
( ndr1_0
=> ( c3_1(X88)
| ~ c0_1(X88)
| ~ c2_1(X88) ) )
| hskp14
| hskp12 )
& ( ! [X89] :
( ndr1_0
=> ( c3_1(X89)
| ~ c0_1(X89)
| ~ c2_1(X89) ) )
| hskp9
| hskp6 )
& ( ! [X90] :
( ndr1_0
=> ( c3_1(X90)
| ~ c1_1(X90)
| ~ c2_1(X90) ) )
| ! [X91] :
( ndr1_0
=> ( ~ c0_1(X91)
| ~ c1_1(X91)
| ~ c3_1(X91) ) )
| hskp5 )
& ( ! [X92] :
( ndr1_0
=> ( ~ c0_1(X92)
| ~ c1_1(X92)
| ~ c2_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( ~ c1_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93) ) )
| hskp17 )
& ( ! [X94] :
( ndr1_0
=> ( ~ c0_1(X94)
| ~ c1_1(X94)
| ~ c2_1(X94) ) )
| hskp13 )
& ( ! [X95] :
( ndr1_0
=> ( ~ c0_1(X95)
| ~ c1_1(X95)
| ~ c3_1(X95) ) )
| ! [X96] :
( ndr1_0
=> ( ~ c1_1(X96)
| ~ c2_1(X96)
| ~ c3_1(X96) ) )
| hskp29 )
& ( ! [X97] :
( ndr1_0
=> ( ~ c1_1(X97)
| ~ c2_1(X97)
| ~ c3_1(X97) ) )
| hskp22
| hskp11 )
& ( hskp27
| hskp14
| hskp18 )
& ( hskp30
| hskp2
| hskp9 )
& ( hskp19
| hskp14
| hskp9 )
& ( hskp28
| hskp25
| hskp14 )
& ( hskp28
| hskp1
| hskp7 )
& ( hskp3
| hskp4
| hskp7 )
& ( hskp3
| hskp21
| hskp7 )
& ( hskp25
| hskp20
| hskp6 )
& ( hskp14
| hskp4
| hskp1 )
& ( hskp26
| hskp29
| hskp20 )
& ( hskp26
| hskp12 )
& ( hskp20
| hskp18 )
& ( hskp2
| hskp1
| hskp23 )
& ( hskp18
| hskp5
| hskp16 )
& ( hskp6
| hskp0
| hskp23 ) ) ).
%--------------------------------------------------------------------------