TPTP Problem File: KRS149+1.p
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- Solve Problem
%------------------------------------------------------------------------------
% File : KRS149+1 : TPTP v8.2.0. Released v3.1.0.
% Domain : Knowledge Representation (Semantic Web)
% Problem : DL Test: k_grz ABox test from DL98 systems comparison
% Version : Especial.
% English :
% Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% Source : [Bec03]
% Names : positive_description-logic-Manifest204 [Bec03]
% Status : Theorem
% Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.13 v5.3.0, 0.17 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.00 v3.2.0, 0.11 v3.1.0
% Syntax : Number of formulae : 126 ( 12 unt; 0 def)
% Number of atoms : 356 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 322 ( 92 ~; 0 |; 117 &)
% ( 108 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 115 ( 115 usr; 0 prp; 1-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 169 ( 115 !; 54 ?)
% SPC : FOF_THM_RFO_NEQ
% Comments : Sean Bechhofer says there are some errors in the encoding of
% datatypes, so this problem may not be perfect. At least it's
% still representative of the type of reasoning required for OWL.
%------------------------------------------------------------------------------
%----Thing and Nothing
fof(axiom_0,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ) ).
%----String and Integer disjoint
fof(axiom_1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ) ).
%----Equality cC10
fof(axiom_2,axiom,
! [X] :
( cC10(X)
<=> ( ~ cC8(X)
& ~ cC2(X) ) ) ).
%----Equality cC100
fof(axiom_3,axiom,
! [X] :
( cC100(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC98(Y) ) ) ).
%----Equality cC102
fof(axiom_4,axiom,
! [X] :
( cC102(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC16(Y) ) ) ).
%----Equality cC104
fof(axiom_5,axiom,
! [X] :
( cC104(X)
<=> ( cC102(X)
& cC16(X) ) ) ).
%----Equality cC106
fof(axiom_6,axiom,
! [X] :
( cC106(X)
<=> ? [Y] :
( rR1(X,Y)
& cC104(Y) ) ) ).
%----Equality cC108
fof(axiom_7,axiom,
! [X] :
( cC108(X)
<=> ( ~ cC106(X)
& ~ cC16(X) ) ) ).
%----Equality cC110
fof(axiom_8,axiom,
! [X] :
( cC110(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC16(Y) ) ) ).
%----Equality cC112
fof(axiom_9,axiom,
! [X] :
( cC112(X)
<=> ( cC110(X)
& cC16(X) ) ) ).
%----Equality cC114
fof(axiom_10,axiom,
! [X] :
( cC114(X)
<=> ? [Y] :
( rR1(X,Y)
& cC112(Y) ) ) ).
%----Equality cC116
fof(axiom_11,axiom,
! [X] :
( cC116(X)
<=> ( ~ cC16(X)
& ~ cC114(X) ) ) ).
%----Equality cC118
fof(axiom_12,axiom,
! [X] :
( cC118(X)
<=> ? [Y] :
( rR1(X,Y)
& cC116(Y) ) ) ).
%----Equality cC12
fof(axiom_13,axiom,
! [X] :
( cC12(X)
<=> ? [Y] :
( rR1(X,Y)
& cC10(Y) ) ) ).
%----Equality cC120
fof(axiom_14,axiom,
! [X] :
( cC120(X)
<=> ? [Y] :
( rR1(X,Y)
& cC118(Y) ) ) ).
%----Equality cC122
fof(axiom_15,axiom,
! [X] :
( cC122(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC16(Y) ) ) ).
%----Equality cC124
fof(axiom_16,axiom,
! [X] :
( cC124(X)
<=> ( cC122(X)
& cC16(X) ) ) ).
%----Equality cC126
fof(axiom_17,axiom,
! [X] :
( cC126(X)
<=> ? [Y] :
( rR1(X,Y)
& cC124(Y) ) ) ).
%----Equality cC128
fof(axiom_18,axiom,
! [X] :
( cC128(X)
<=> ( ~ cC16(X)
& ~ cC126(X) ) ) ).
%----Equality cC130
fof(axiom_19,axiom,
! [X] :
( cC130(X)
<=> ? [Y] :
( rR1(X,Y)
& cC128(Y) ) ) ).
%----Equality cC132
fof(axiom_20,axiom,
! [X] :
( cC132(X)
<=> ( ~ cC130(X)
& cC120(X) ) ) ).
%----Equality cC134
fof(axiom_21,axiom,
! [X] :
( cC134(X)
<=> ( ~ cC132(X)
& ~ cC108(X) ) ) ).
%----Equality cC136
fof(axiom_22,axiom,
! [X] :
( cC136(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC16(Y) ) ) ).
%----Equality cC138
fof(axiom_23,axiom,
! [X] :
( cC138(X)
<=> ( cC136(X)
& cC16(X) ) ) ).
%----Equality cC14
fof(axiom_24,axiom,
! [X] :
( cC14(X)
<=> ( ~ cC12(X)
& ~ cC2(X) ) ) ).
%----Equality cC140
fof(axiom_25,axiom,
! [X] :
( cC140(X)
<=> ? [Y] :
( rR1(X,Y)
& cC138(Y) ) ) ).
%----Equality cC142
fof(axiom_26,axiom,
! [X] :
( cC142(X)
<=> ( ~ cC140(X)
& ~ cC16(X) ) ) ).
%----Equality cC144
fof(axiom_27,axiom,
! [X] :
( cC144(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC16(Y) ) ) ).
%----Equality cC146
fof(axiom_28,axiom,
! [X] :
( cC146(X)
<=> ( cC144(X)
& cC16(X) ) ) ).
%----Equality cC148
fof(axiom_29,axiom,
! [X] :
( cC148(X)
<=> ? [Y] :
( rR1(X,Y)
& cC146(Y) ) ) ).
%----Equality cC150
fof(axiom_30,axiom,
! [X] :
( cC150(X)
<=> ( ~ cC16(X)
& ~ cC148(X) ) ) ).
%----Equality cC152
fof(axiom_31,axiom,
! [X] :
( cC152(X)
<=> ? [Y] :
( rR1(X,Y)
& cC150(Y) ) ) ).
%----Equality cC154
fof(axiom_32,axiom,
! [X] :
( cC154(X)
<=> ? [Y] :
( rR1(X,Y)
& cC152(Y) ) ) ).
%----Equality cC156
fof(axiom_33,axiom,
! [X] :
( cC156(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC16(Y) ) ) ).
%----Equality cC158
fof(axiom_34,axiom,
! [X] :
( cC158(X)
<=> ( cC156(X)
& cC16(X) ) ) ).
%----Equality cC160
fof(axiom_35,axiom,
! [X] :
( cC160(X)
<=> ? [Y] :
( rR1(X,Y)
& cC158(Y) ) ) ).
%----Equality cC162
fof(axiom_36,axiom,
! [X] :
( cC162(X)
<=> ( ~ cC16(X)
& ~ cC160(X) ) ) ).
%----Equality cC164
fof(axiom_37,axiom,
! [X] :
( cC164(X)
<=> ? [Y] :
( rR1(X,Y)
& cC162(Y) ) ) ).
%----Equality cC166
fof(axiom_38,axiom,
! [X] :
( cC166(X)
<=> ( cC154(X)
& ~ cC164(X) ) ) ).
%----Equality cC168
fof(axiom_39,axiom,
! [X] :
( cC168(X)
<=> ( ~ cC166(X)
& ~ cC142(X) ) ) ).
%----Equality cC170
fof(axiom_40,axiom,
! [X] :
( cC170(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC168(Y) ) ) ).
%----Equality cC172
fof(axiom_41,axiom,
! [X] :
( cC172(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC16(Y) ) ) ).
%----Equality cC174
fof(axiom_42,axiom,
! [X] :
( cC174(X)
<=> ( cC172(X)
& cC16(X) ) ) ).
%----Equality cC176
fof(axiom_43,axiom,
! [X] :
( cC176(X)
<=> ? [Y] :
( rR1(X,Y)
& cC174(Y) ) ) ).
%----Equality cC178
fof(axiom_44,axiom,
! [X] :
( cC178(X)
<=> ( ~ cC16(X)
& ~ cC176(X) ) ) ).
%----Equality cC18
fof(axiom_45,axiom,
! [X] :
( cC18(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC16(Y) ) ) ).
%----Equality cC180
fof(axiom_46,axiom,
! [X] :
( cC180(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC16(Y) ) ) ).
%----Equality cC182
fof(axiom_47,axiom,
! [X] :
( cC182(X)
<=> ( cC16(X)
& cC180(X) ) ) ).
%----Equality cC184
fof(axiom_48,axiom,
! [X] :
( cC184(X)
<=> ? [Y] :
( rR1(X,Y)
& cC182(Y) ) ) ).
%----Equality cC186
fof(axiom_49,axiom,
! [X] :
( cC186(X)
<=> ( ~ cC16(X)
& ~ cC184(X) ) ) ).
%----Equality cC188
fof(axiom_50,axiom,
! [X] :
( cC188(X)
<=> ? [Y] :
( rR1(X,Y)
& cC186(Y) ) ) ).
%----Equality cC190
fof(axiom_51,axiom,
! [X] :
( cC190(X)
<=> ? [Y] :
( rR1(X,Y)
& cC188(Y) ) ) ).
%----Equality cC192
fof(axiom_52,axiom,
! [X] :
( cC192(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC16(Y) ) ) ).
%----Equality cC194
fof(axiom_53,axiom,
! [X] :
( cC194(X)
<=> ( cC192(X)
& cC16(X) ) ) ).
%----Equality cC196
fof(axiom_54,axiom,
! [X] :
( cC196(X)
<=> ? [Y] :
( rR1(X,Y)
& cC194(Y) ) ) ).
%----Equality cC198
fof(axiom_55,axiom,
! [X] :
( cC198(X)
<=> ( ~ cC196(X)
& ~ cC16(X) ) ) ).
%----Equality cC20
fof(axiom_56,axiom,
! [X] :
( cC20(X)
<=> ( cC18(X)
& cC16(X) ) ) ).
%----Equality cC200
fof(axiom_57,axiom,
! [X] :
( cC200(X)
<=> ? [Y] :
( rR1(X,Y)
& cC198(Y) ) ) ).
%----Equality cC202
fof(axiom_58,axiom,
! [X] :
( cC202(X)
<=> ( cC190(X)
& ~ cC200(X) ) ) ).
%----Equality cC204
fof(axiom_59,axiom,
! [X] :
( cC204(X)
<=> ( ~ cC178(X)
& ~ cC202(X) ) ) ).
%----Equality cC206
fof(axiom_60,axiom,
! [X] :
( cC206(X)
<=> ( cC170(X)
& cC204(X) ) ) ).
%----Equality cC208
fof(axiom_61,axiom,
! [X] :
( cC208(X)
<=> ? [Y] :
( rR1(X,Y)
& cC206(Y) ) ) ).
%----Equality cC210
fof(axiom_62,axiom,
! [X] :
( cC210(X)
<=> ( ~ cC208(X)
& ~ cC134(X) ) ) ).
%----Equality cC212
fof(axiom_63,axiom,
! [X] :
( cC212(X)
<=> ? [Y] :
( rR1(X,Y)
& cC210(Y) ) ) ).
%----Equality cC214
fof(axiom_64,axiom,
! [X] :
( cC214(X)
<=> ( cC100(X)
& ~ cC212(X) ) ) ).
%----Equality cC216
fof(axiom_65,axiom,
! [X] :
( cC216(X)
<=> ( ~ cC214(X)
& cC64(X) ) ) ).
%----Equality cC22
fof(axiom_66,axiom,
! [X] :
( cC22(X)
<=> ? [Y] :
( rR1(X,Y)
& cC20(Y) ) ) ).
%----Equality cC24
fof(axiom_67,axiom,
! [X] :
( cC24(X)
<=> ( ~ cC22(X)
& ~ cC16(X) ) ) ).
%----Equality cC26
fof(axiom_68,axiom,
! [X] :
( cC26(X)
<=> ? [Y] :
( rR1(X,Y)
& cC24(Y) ) ) ).
%----Equality cC28
fof(axiom_69,axiom,
! [X] :
( cC28(X)
<=> ( ~ cC26(X)
& ~ cC16(X) ) ) ).
%----Equality cC30
fof(axiom_70,axiom,
! [X] :
( cC30(X)
<=> ( cC14(X)
& cC28(X) ) ) ).
%----Equality cC34
fof(axiom_71,axiom,
! [X] :
( cC34(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC32(Y) ) ) ).
%----Equality cC36
fof(axiom_72,axiom,
! [X] :
( cC36(X)
<=> ( cC32(X)
& cC34(X) ) ) ).
%----Equality cC38
fof(axiom_73,axiom,
! [X] :
( cC38(X)
<=> ? [Y] :
( rR1(X,Y)
& cC36(Y) ) ) ).
%----Equality cC4
fof(axiom_74,axiom,
! [X] :
( cC4(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC2(Y) ) ) ).
%----Equality cC40
fof(axiom_75,axiom,
! [X] :
( cC40(X)
<=> ( ~ cC38(X)
& ~ cC32(X) ) ) ).
%----Equality cC42
fof(axiom_76,axiom,
! [X] :
( cC42(X)
<=> ? [Y] :
( rR1(X,Y)
& cC40(Y) ) ) ).
%----Equality cC44
fof(axiom_77,axiom,
! [X] :
( cC44(X)
<=> ( ~ cC32(X)
& ~ cC42(X) ) ) ).
%----Equality cC46
fof(axiom_78,axiom,
! [X] :
( cC46(X)
<=> ( cC30(X)
& cC44(X) ) ) ).
%----Equality cC48
fof(axiom_79,axiom,
! [X] :
( cC48(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC16(Y) ) ) ).
%----Equality cC50
fof(axiom_80,axiom,
! [X] :
( cC50(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC16(Y) ) ) ).
%----Equality cC52
fof(axiom_81,axiom,
! [X] :
( cC52(X)
<=> ( cC50(X)
& cC16(X) ) ) ).
%----Equality cC54
fof(axiom_82,axiom,
! [X] :
( cC54(X)
<=> ? [Y] :
( rR1(X,Y)
& cC52(Y) ) ) ).
%----Equality cC56
fof(axiom_83,axiom,
! [X] :
( cC56(X)
<=> ( ~ cC16(X)
& ~ cC54(X) ) ) ).
%----Equality cC58
fof(axiom_84,axiom,
! [X] :
( cC58(X)
<=> ? [Y] :
( rR1(X,Y)
& cC56(Y) ) ) ).
%----Equality cC6
fof(axiom_85,axiom,
! [X] :
( cC6(X)
<=> ( cC2(X)
& cC4(X) ) ) ).
%----Equality cC60
fof(axiom_86,axiom,
! [X] :
( cC60(X)
<=> ( cC48(X)
& ~ cC58(X) ) ) ).
%----Equality cC62
fof(axiom_87,axiom,
! [X] :
( cC62(X)
<=> ? [Y] :
( rR1(X,Y)
& cC60(Y) ) ) ).
%----Equality cC64
fof(axiom_88,axiom,
! [X] :
( cC64(X)
<=> ( ~ cC62(X)
& cTOP(X) ) ) ).
%----Equality cC66
fof(axiom_89,axiom,
! [X] :
( cC66(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC16(Y) ) ) ).
%----Equality cC68
fof(axiom_90,axiom,
! [X] :
( cC68(X)
<=> ( cC66(X)
& cC16(X) ) ) ).
%----Equality cC70
fof(axiom_91,axiom,
! [X] :
( cC70(X)
<=> ? [Y] :
( rR1(X,Y)
& cC68(Y) ) ) ).
%----Equality cC72
fof(axiom_92,axiom,
! [X] :
( cC72(X)
<=> ( ~ cC70(X)
& ~ cC16(X) ) ) ).
%----Equality cC74
fof(axiom_93,axiom,
! [X] :
( cC74(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC16(Y) ) ) ).
%----Equality cC76
fof(axiom_94,axiom,
! [X] :
( cC76(X)
<=> ( cC74(X)
& cC16(X) ) ) ).
%----Equality cC78
fof(axiom_95,axiom,
! [X] :
( cC78(X)
<=> ? [Y] :
( rR1(X,Y)
& cC76(Y) ) ) ).
%----Equality cC8
fof(axiom_96,axiom,
! [X] :
( cC8(X)
<=> ? [Y] :
( rR1(X,Y)
& cC6(Y) ) ) ).
%----Equality cC80
fof(axiom_97,axiom,
! [X] :
( cC80(X)
<=> ( ~ cC16(X)
& ~ cC78(X) ) ) ).
%----Equality cC82
fof(axiom_98,axiom,
! [X] :
( cC82(X)
<=> ? [Y] :
( rR1(X,Y)
& cC80(Y) ) ) ).
%----Equality cC84
fof(axiom_99,axiom,
! [X] :
( cC84(X)
<=> ? [Y] :
( rR1(X,Y)
& cC82(Y) ) ) ).
%----Equality cC86
fof(axiom_100,axiom,
! [X] :
( cC86(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC16(Y) ) ) ).
%----Equality cC88
fof(axiom_101,axiom,
! [X] :
( cC88(X)
<=> ( cC86(X)
& cC16(X) ) ) ).
%----Equality cC90
fof(axiom_102,axiom,
! [X] :
( cC90(X)
<=> ? [Y] :
( rR1(X,Y)
& cC88(Y) ) ) ).
%----Equality cC92
fof(axiom_103,axiom,
! [X] :
( cC92(X)
<=> ( ~ cC90(X)
& ~ cC16(X) ) ) ).
%----Equality cC94
fof(axiom_104,axiom,
! [X] :
( cC94(X)
<=> ? [Y] :
( rR1(X,Y)
& cC92(Y) ) ) ).
%----Equality cC96
fof(axiom_105,axiom,
! [X] :
( cC96(X)
<=> ( cC84(X)
& ~ cC94(X) ) ) ).
%----Equality cC98
fof(axiom_106,axiom,
! [X] :
( cC98(X)
<=> ( ~ cC72(X)
& ~ cC96(X) ) ) ).
%----Equality cTEST
fof(axiom_107,axiom,
! [X] :
( cTEST(X)
<=> ( cC216(X)
& cC46(X) ) ) ).
%----iV3102
fof(axiom_108,axiom,
cTEST(iV3102) ).
%----iV3102
fof(axiom_109,axiom,
cowlThing(iV3102) ).
%----iV3102
fof(axiom_110,axiom,
! [X] :
( rR1(iV3102,X)
=> ~ cC60(X) ) ).
%----iV3102
fof(axiom_111,axiom,
! [X] :
( rR1(iV3102,X)
=> ~ cC10(X) ) ).
%----iV3102
fof(axiom_112,axiom,
cTOP(iV3102) ).
%----iV3102
fof(axiom_113,axiom,
! [X] :
( rR1(iV3102,X)
=> ~ cC24(X) ) ).
%----iV3102
fof(axiom_114,axiom,
~ cC42(iV3102) ).
%----iV3102
fof(axiom_115,axiom,
~ cC12(iV3102) ).
%----iV3102
fof(axiom_116,axiom,
~ cC26(iV3102) ).
%----iV3102
fof(axiom_117,axiom,
! [X] :
( rR1(iV3102,X)
=> cC98(X) ) ).
%----iV3102
fof(axiom_118,axiom,
~ cC214(iV3102) ).
%----iV3102
fof(axiom_119,axiom,
~ cC62(iV3102) ).
%----iV3102
fof(axiom_120,axiom,
! [X] :
( rR1(iV3102,X)
=> ~ cC40(X) ) ).
%----iV3102
fof(axiom_121,axiom,
~ cC16(iV3102) ).
%----iV3102
fof(axiom_122,axiom,
~ cC2(iV3102) ).
%----iV3102
fof(axiom_123,axiom,
~ cC32(iV3102) ).
%----iV3102
fof(axiom_124,axiom,
~ cC100(iV3102) ).
%----Thing and Nothing
%----String and Integer disjoint
%----iV3102
%----iV3102
%----iV3102
%----iV3102
%----iV3102
%----iV3102
%----iV3102
%----iV3102
fof(the_axiom,conjecture,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC216(iV3102)
& cC46(iV3102)
& cC30(iV3102)
& cC44(iV3102)
& cC28(iV3102)
& cC64(iV3102)
& cC14(iV3102)
& cowlThing(iV3102) ) ).
%------------------------------------------------------------------------------