TPTP Problem File: KRS157+1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : KRS157+1 : TPTP v8.2.0. Released v3.1.0.
% Domain : Knowledge Representation (Semantic Web)
% Problem : 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-Manifest664 [Bec03]
% Status : Theorem
% Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v6.3.0, 0.08 v6.2.0, 0.09 v6.1.0, 0.12 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.14 v5.0.0, 0.15 v4.1.0, 0.11 v4.0.0, 0.10 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.11 v3.1.0
% Syntax : Number of formulae : 220 ( 12 unt; 0 def)
% Number of atoms : 544 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 375 ( 51 ~; 0 |; 117 &)
% ( 202 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 209 ( 209 usr; 0 prp; 1-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 357 ( 209 !; 148 ?)
% 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)
<=> ? [Y0] : ra_Px87(X,Y0) ) ).
%----Equality cC10
fof(axiom_3,axiom,
! [X] :
( cC10(X)
<=> ( cC2xcomp(X)
& cC8xcomp(X) ) ) ).
%----Equality cC10xcomp
fof(axiom_4,axiom,
! [X] :
( cC10xcomp(X)
<=> ~ ? [Y] : ra_Px87(X,Y) ) ).
%----Equality cC100
fof(axiom_5,axiom,
! [X] :
( cC100(X)
<=> ? [Y] :
( rR1(X,Y)
& cC98xcomp(Y) ) ) ).
%----Equality cC100
fof(axiom_6,axiom,
! [X] :
( cC100(X)
<=> ~ ? [Y] : ra_Px76(X,Y) ) ).
%----Equality cC100xcomp
fof(axiom_7,axiom,
! [X] :
( cC100xcomp(X)
<=> ? [Y0] : ra_Px76(X,Y0) ) ).
%----Equality cC102
fof(axiom_8,axiom,
! [X] :
( cC102(X)
<=> ? [Y] :
( rR1(X,Y)
& cC16xcomp(Y) ) ) ).
%----Equality cC104
fof(axiom_9,axiom,
! [X] :
( cC104(X)
<=> ( cC16(X)
& cC102(X) ) ) ).
%----Equality cC106
fof(axiom_10,axiom,
! [X] :
( cC106(X)
<=> ? [Y] :
( rR1(X,Y)
& cC104(Y) ) ) ).
%----Equality cC106
fof(axiom_11,axiom,
! [X] :
( cC106(X)
<=> ~ ? [Y] : ra_Px37(X,Y) ) ).
%----Equality cC106xcomp
fof(axiom_12,axiom,
! [X] :
( cC106xcomp(X)
<=> ? [Y0] : ra_Px37(X,Y0) ) ).
%----Equality cC108
fof(axiom_13,axiom,
! [X] :
( cC108(X)
<=> ( cC16xcomp(X)
& cC106xcomp(X) ) ) ).
%----Equality cC108
fof(axiom_14,axiom,
! [X] :
( cC108(X)
<=> ? [Y0] : ra_Px45(X,Y0) ) ).
%----Equality cC108xcomp
fof(axiom_15,axiom,
! [X] :
( cC108xcomp(X)
<=> ~ ? [Y] : ra_Px45(X,Y) ) ).
%----Equality cC110
fof(axiom_16,axiom,
! [X] :
( cC110(X)
<=> ? [Y] :
( rR1(X,Y)
& cC16xcomp(Y) ) ) ).
%----Equality cC112
fof(axiom_17,axiom,
! [X] :
( cC112(X)
<=> ( cC16(X)
& cC110(X) ) ) ).
%----Equality cC114
fof(axiom_18,axiom,
! [X] :
( cC114(X)
<=> ? [Y] :
( rR1(X,Y)
& cC112(Y) ) ) ).
%----Equality cC114
fof(axiom_19,axiom,
! [X] :
( cC114(X)
<=> ~ ? [Y] : ra_Px40(X,Y) ) ).
%----Equality cC114xcomp
fof(axiom_20,axiom,
! [X] :
( cC114xcomp(X)
<=> ? [Y0] : ra_Px40(X,Y0) ) ).
%----Equality cC116
fof(axiom_21,axiom,
! [X] :
( cC116(X)
<=> ( cC16xcomp(X)
& cC114xcomp(X) ) ) ).
%----Equality cC118
fof(axiom_22,axiom,
! [X] :
( cC118(X)
<=> ? [Y] :
( rR1(X,Y)
& cC116(Y) ) ) ).
%----Equality cC12
fof(axiom_23,axiom,
! [X] :
( cC12(X)
<=> ~ ? [Y] : ra_Px4(X,Y) ) ).
%----Equality cC12
fof(axiom_24,axiom,
! [X] :
( cC12(X)
<=> ? [Y] :
( rR1(X,Y)
& cC10(Y) ) ) ).
%----Equality cC12xcomp
fof(axiom_25,axiom,
! [X] :
( cC12xcomp(X)
<=> ? [Y0] : ra_Px4(X,Y0) ) ).
%----Equality cC120
fof(axiom_26,axiom,
! [X] :
( cC120(X)
<=> ? [Y] :
( rR1(X,Y)
& cC118(Y) ) ) ).
%----Equality cC122
fof(axiom_27,axiom,
! [X] :
( cC122(X)
<=> ? [Y] :
( rR1(X,Y)
& cC16xcomp(Y) ) ) ).
%----Equality cC124
fof(axiom_28,axiom,
! [X] :
( cC124(X)
<=> ( cC16(X)
& cC122(X) ) ) ).
%----Equality cC126
fof(axiom_29,axiom,
! [X] :
( cC126(X)
<=> ~ ? [Y] : ra_Px43(X,Y) ) ).
%----Equality cC126
fof(axiom_30,axiom,
! [X] :
( cC126(X)
<=> ? [Y] :
( rR1(X,Y)
& cC124(Y) ) ) ).
%----Equality cC126xcomp
fof(axiom_31,axiom,
! [X] :
( cC126xcomp(X)
<=> ? [Y0] : ra_Px43(X,Y0) ) ).
%----Equality cC128
fof(axiom_32,axiom,
! [X] :
( cC128(X)
<=> ( cC16xcomp(X)
& cC126xcomp(X) ) ) ).
%----Equality cC130
fof(axiom_33,axiom,
! [X] :
( cC130(X)
<=> ? [Y] :
( rR1(X,Y)
& cC128(Y) ) ) ).
%----Equality cC130
fof(axiom_34,axiom,
! [X] :
( cC130(X)
<=> ? [Y0] : ra_Px44(X,Y0) ) ).
%----Equality cC130xcomp
fof(axiom_35,axiom,
! [X] :
( cC130xcomp(X)
<=> ~ ? [Y] : ra_Px44(X,Y) ) ).
%----Equality cC132
fof(axiom_36,axiom,
! [X] :
( cC132(X)
<=> ( cC120(X)
& cC130xcomp(X) ) ) ).
%----Equality cC132
fof(axiom_37,axiom,
! [X] :
( cC132(X)
<=> ~ ? [Y] : ra_Px46(X,Y) ) ).
%----Equality cC132xcomp
fof(axiom_38,axiom,
! [X] :
( cC132xcomp(X)
<=> ? [Y0] : ra_Px46(X,Y0) ) ).
%----Equality cC134
fof(axiom_39,axiom,
! [X] :
( cC134(X)
<=> ? [Y0] : ra_Px72(X,Y0) ) ).
%----Equality cC134
fof(axiom_40,axiom,
! [X] :
( cC134(X)
<=> ( cC132xcomp(X)
& cC108xcomp(X) ) ) ).
%----Equality cC134xcomp
fof(axiom_41,axiom,
! [X] :
( cC134xcomp(X)
<=> ~ ? [Y] : ra_Px72(X,Y) ) ).
%----Equality cC136
fof(axiom_42,axiom,
! [X] :
( cC136(X)
<=> ? [Y] :
( rR1(X,Y)
& cC16xcomp(Y) ) ) ).
%----Equality cC138
fof(axiom_43,axiom,
! [X] :
( cC138(X)
<=> ( cC16(X)
& cC136(X) ) ) ).
%----Equality cC14
fof(axiom_44,axiom,
! [X] :
( cC14(X)
<=> ( cC2xcomp(X)
& cC12xcomp(X) ) ) ).
%----Equality cC140
fof(axiom_45,axiom,
! [X] :
( cC140(X)
<=> ? [Y] :
( rR1(X,Y)
& cC138(Y) ) ) ).
%----Equality cC140
fof(axiom_46,axiom,
! [X] :
( cC140(X)
<=> ~ ? [Y] : ra_Px49(X,Y) ) ).
%----Equality cC140xcomp
fof(axiom_47,axiom,
! [X] :
( cC140xcomp(X)
<=> ? [Y0] : ra_Px49(X,Y0) ) ).
%----Equality cC142
fof(axiom_48,axiom,
! [X] :
( cC142(X)
<=> ( cC16xcomp(X)
& cC140xcomp(X) ) ) ).
%----Equality cC142
fof(axiom_49,axiom,
! [X] :
( cC142(X)
<=> ? [Y0] : ra_Px57(X,Y0) ) ).
%----Equality cC142xcomp
fof(axiom_50,axiom,
! [X] :
( cC142xcomp(X)
<=> ~ ? [Y] : ra_Px57(X,Y) ) ).
%----Equality cC144
fof(axiom_51,axiom,
! [X] :
( cC144(X)
<=> ? [Y] :
( rR1(X,Y)
& cC16xcomp(Y) ) ) ).
%----Equality cC146
fof(axiom_52,axiom,
! [X] :
( cC146(X)
<=> ( cC144(X)
& cC16(X) ) ) ).
%----Equality cC148
fof(axiom_53,axiom,
! [X] :
( cC148(X)
<=> ~ ? [Y] : ra_Px52(X,Y) ) ).
%----Equality cC148
fof(axiom_54,axiom,
! [X] :
( cC148(X)
<=> ? [Y] :
( rR1(X,Y)
& cC146(Y) ) ) ).
%----Equality cC148xcomp
fof(axiom_55,axiom,
! [X] :
( cC148xcomp(X)
<=> ? [Y0] : ra_Px52(X,Y0) ) ).
%----Equality cC150
fof(axiom_56,axiom,
! [X] :
( cC150(X)
<=> ( cC16xcomp(X)
& cC148xcomp(X) ) ) ).
%----Equality cC152
fof(axiom_57,axiom,
! [X] :
( cC152(X)
<=> ? [Y] :
( rR1(X,Y)
& cC150(Y) ) ) ).
%----Equality cC154
fof(axiom_58,axiom,
! [X] :
( cC154(X)
<=> ? [Y] :
( rR1(X,Y)
& cC152(Y) ) ) ).
%----Equality cC156
fof(axiom_59,axiom,
! [X] :
( cC156(X)
<=> ? [Y] :
( rR1(X,Y)
& cC16xcomp(Y) ) ) ).
%----Equality cC158
fof(axiom_60,axiom,
! [X] :
( cC158(X)
<=> ( cC16(X)
& cC156(X) ) ) ).
%----Equality cC16
fof(axiom_61,axiom,
! [X] :
( cC16(X)
<=> ? [Y0] : ra_Px5(X,Y0) ) ).
%----Equality cC16xcomp
fof(axiom_62,axiom,
! [X] :
( cC16xcomp(X)
<=> ~ ? [Y] : ra_Px5(X,Y) ) ).
%----Equality cC160
fof(axiom_63,axiom,
! [X] :
( cC160(X)
<=> ~ ? [Y] : ra_Px55(X,Y) ) ).
%----Equality cC160
fof(axiom_64,axiom,
! [X] :
( cC160(X)
<=> ? [Y] :
( rR1(X,Y)
& cC158(Y) ) ) ).
%----Equality cC160xcomp
fof(axiom_65,axiom,
! [X] :
( cC160xcomp(X)
<=> ? [Y0] : ra_Px55(X,Y0) ) ).
%----Equality cC162
fof(axiom_66,axiom,
! [X] :
( cC162(X)
<=> ( cC16xcomp(X)
& cC160xcomp(X) ) ) ).
%----Equality cC164
fof(axiom_67,axiom,
! [X] :
( cC164(X)
<=> ? [Y] :
( rR1(X,Y)
& cC162(Y) ) ) ).
%----Equality cC164
fof(axiom_68,axiom,
! [X] :
( cC164(X)
<=> ? [Y0] : ra_Px56(X,Y0) ) ).
%----Equality cC164xcomp
fof(axiom_69,axiom,
! [X] :
( cC164xcomp(X)
<=> ~ ? [Y] : ra_Px56(X,Y) ) ).
%----Equality cC166
fof(axiom_70,axiom,
! [X] :
( cC166(X)
<=> ( cC164xcomp(X)
& cC154(X) ) ) ).
%----Equality cC166
fof(axiom_71,axiom,
! [X] :
( cC166(X)
<=> ~ ? [Y] : ra_Px58(X,Y) ) ).
%----Equality cC166xcomp
fof(axiom_72,axiom,
! [X] :
( cC166xcomp(X)
<=> ? [Y0] : ra_Px58(X,Y0) ) ).
%----Equality cC168
fof(axiom_73,axiom,
! [X] :
( cC168(X)
<=> ( cC142xcomp(X)
& cC166xcomp(X) ) ) ).
%----Equality cC168
fof(axiom_74,axiom,
! [X] :
( cC168(X)
<=> ? [Y0] : ra_Px59(X,Y0) ) ).
%----Equality cC168xcomp
fof(axiom_75,axiom,
! [X] :
( cC168xcomp(X)
<=> ~ ? [Y] : ra_Px59(X,Y) ) ).
%----Equality cC170
fof(axiom_76,axiom,
! [X] :
( cC170(X)
<=> ? [Y] :
( rR1(X,Y)
& cC168xcomp(Y) ) ) ).
%----Equality cC172
fof(axiom_77,axiom,
! [X] :
( cC172(X)
<=> ? [Y] :
( rR1(X,Y)
& cC16xcomp(Y) ) ) ).
%----Equality cC174
fof(axiom_78,axiom,
! [X] :
( cC174(X)
<=> ( cC16(X)
& cC172(X) ) ) ).
%----Equality cC176
fof(axiom_79,axiom,
! [X] :
( cC176(X)
<=> ? [Y0] : ra_Px62(X,Y0) ) ).
%----Equality cC176
fof(axiom_80,axiom,
! [X] :
( cC176(X)
<=> ? [Y] :
( rR1(X,Y)
& cC174(Y) ) ) ).
%----Equality cC176xcomp
fof(axiom_81,axiom,
! [X] :
( cC176xcomp(X)
<=> ~ ? [Y] : ra_Px62(X,Y) ) ).
%----Equality cC178
fof(axiom_82,axiom,
! [X] :
( cC178(X)
<=> ~ ? [Y] : ra_Px70(X,Y) ) ).
%----Equality cC178
fof(axiom_83,axiom,
! [X] :
( cC178(X)
<=> ( cC16xcomp(X)
& cC176xcomp(X) ) ) ).
%----Equality cC178xcomp
fof(axiom_84,axiom,
! [X] :
( cC178xcomp(X)
<=> ? [Y0] : ra_Px70(X,Y0) ) ).
%----Equality cC18
fof(axiom_85,axiom,
! [X] :
( cC18(X)
<=> ? [Y] :
( rR1(X,Y)
& cC16xcomp(Y) ) ) ).
%----Equality cC180
fof(axiom_86,axiom,
! [X] :
( cC180(X)
<=> ? [Y] :
( rR1(X,Y)
& cC16xcomp(Y) ) ) ).
%----Equality cC182
fof(axiom_87,axiom,
! [X] :
( cC182(X)
<=> ( cC16(X)
& cC180(X) ) ) ).
%----Equality cC184
fof(axiom_88,axiom,
! [X] :
( cC184(X)
<=> ? [Y0] : ra_Px65(X,Y0) ) ).
%----Equality cC184
fof(axiom_89,axiom,
! [X] :
( cC184(X)
<=> ? [Y] :
( rR1(X,Y)
& cC182(Y) ) ) ).
%----Equality cC184xcomp
fof(axiom_90,axiom,
! [X] :
( cC184xcomp(X)
<=> ~ ? [Y] : ra_Px65(X,Y) ) ).
%----Equality cC186
fof(axiom_91,axiom,
! [X] :
( cC186(X)
<=> ( cC16xcomp(X)
& cC184xcomp(X) ) ) ).
%----Equality cC188
fof(axiom_92,axiom,
! [X] :
( cC188(X)
<=> ? [Y] :
( rR1(X,Y)
& cC186(Y) ) ) ).
%----Equality cC190
fof(axiom_93,axiom,
! [X] :
( cC190(X)
<=> ? [Y] :
( rR1(X,Y)
& cC188(Y) ) ) ).
%----Equality cC192
fof(axiom_94,axiom,
! [X] :
( cC192(X)
<=> ? [Y] :
( rR1(X,Y)
& cC16xcomp(Y) ) ) ).
%----Equality cC194
fof(axiom_95,axiom,
! [X] :
( cC194(X)
<=> ( cC16(X)
& cC192(X) ) ) ).
%----Equality cC196
fof(axiom_96,axiom,
! [X] :
( cC196(X)
<=> ? [Y0] : ra_Px68(X,Y0) ) ).
%----Equality cC196
fof(axiom_97,axiom,
! [X] :
( cC196(X)
<=> ? [Y] :
( rR1(X,Y)
& cC194(Y) ) ) ).
%----Equality cC196xcomp
fof(axiom_98,axiom,
! [X] :
( cC196xcomp(X)
<=> ~ ? [Y] : ra_Px68(X,Y) ) ).
%----Equality cC198
fof(axiom_99,axiom,
! [X] :
( cC198(X)
<=> ( cC16xcomp(X)
& cC196xcomp(X) ) ) ).
%----Equality cC2
fof(axiom_100,axiom,
! [X] :
( cC2(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ) ).
%----Equality cC2xcomp
fof(axiom_101,axiom,
! [X] :
( cC2xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ) ).
%----Equality cC20
fof(axiom_102,axiom,
! [X] :
( cC20(X)
<=> ( cC18(X)
& cC16(X) ) ) ).
%----Equality cC200
fof(axiom_103,axiom,
! [X] :
( cC200(X)
<=> ? [Y] :
( rR1(X,Y)
& cC198(Y) ) ) ).
%----Equality cC200
fof(axiom_104,axiom,
! [X] :
( cC200(X)
<=> ? [Y0] : ra_Px69(X,Y0) ) ).
%----Equality cC200xcomp
fof(axiom_105,axiom,
! [X] :
( cC200xcomp(X)
<=> ~ ? [Y] : ra_Px69(X,Y) ) ).
%----Equality cC202
fof(axiom_106,axiom,
! [X] :
( cC202(X)
<=> ( cC200xcomp(X)
& cC190(X) ) ) ).
%----Equality cC202
fof(axiom_107,axiom,
! [X] :
( cC202(X)
<=> ? [Y0] : ra_Px71(X,Y0) ) ).
%----Equality cC202xcomp
fof(axiom_108,axiom,
! [X] :
( cC202xcomp(X)
<=> ~ ? [Y] : ra_Px71(X,Y) ) ).
%----Equality cC204
fof(axiom_109,axiom,
! [X] :
( cC204(X)
<=> ( cC202xcomp(X)
& cC178xcomp(X) ) ) ).
%----Equality cC206
fof(axiom_110,axiom,
! [X] :
( cC206(X)
<=> ( cC204(X)
& cC170(X) ) ) ).
%----Equality cC208
fof(axiom_111,axiom,
! [X] :
( cC208(X)
<=> ? [Y] :
( rR1(X,Y)
& cC206(Y) ) ) ).
%----Equality cC208
fof(axiom_112,axiom,
! [X] :
( cC208(X)
<=> ~ ? [Y] : ra_Px73(X,Y) ) ).
%----Equality cC208xcomp
fof(axiom_113,axiom,
! [X] :
( cC208xcomp(X)
<=> ? [Y0] : ra_Px73(X,Y0) ) ).
%----Equality cC210
fof(axiom_114,axiom,
! [X] :
( cC210(X)
<=> ( cC134xcomp(X)
& cC208xcomp(X) ) ) ).
%----Equality cC212
fof(axiom_115,axiom,
! [X] :
( cC212(X)
<=> ? [Y0] : ra_Px74(X,Y0) ) ).
%----Equality cC212
fof(axiom_116,axiom,
! [X] :
( cC212(X)
<=> ? [Y] :
( rR1(X,Y)
& cC210(Y) ) ) ).
%----Equality cC212xcomp
fof(axiom_117,axiom,
! [X] :
( cC212xcomp(X)
<=> ~ ? [Y] : ra_Px74(X,Y) ) ).
%----Equality cC214
fof(axiom_118,axiom,
! [X] :
( cC214(X)
<=> ? [Y0] : ra_Px75(X,Y0) ) ).
%----Equality cC214
fof(axiom_119,axiom,
! [X] :
( cC214(X)
<=> ( cC212xcomp(X)
& cC100(X) ) ) ).
%----Equality cC214xcomp
fof(axiom_120,axiom,
! [X] :
( cC214xcomp(X)
<=> ~ ? [Y] : ra_Px75(X,Y) ) ).
%----Equality cC216
fof(axiom_121,axiom,
! [X] :
( cC216(X)
<=> ( cC64(X)
& cC214xcomp(X) ) ) ).
%----Equality cC22
fof(axiom_122,axiom,
! [X] :
( cC22(X)
<=> ~ ? [Y] : ra_Px7(X,Y) ) ).
%----Equality cC22
fof(axiom_123,axiom,
! [X] :
( cC22(X)
<=> ? [Y] :
( rR1(X,Y)
& cC20(Y) ) ) ).
%----Equality cC22xcomp
fof(axiom_124,axiom,
! [X] :
( cC22xcomp(X)
<=> ? [Y0] : ra_Px7(X,Y0) ) ).
%----Equality cC24
fof(axiom_125,axiom,
! [X] :
( cC24(X)
<=> ~ ? [Y] : ra_Px88(X,Y) ) ).
%----Equality cC24
fof(axiom_126,axiom,
! [X] :
( cC24(X)
<=> ( cC16xcomp(X)
& cC22xcomp(X) ) ) ).
%----Equality cC24xcomp
fof(axiom_127,axiom,
! [X] :
( cC24xcomp(X)
<=> ? [Y0] : ra_Px88(X,Y0) ) ).
%----Equality cC26
fof(axiom_128,axiom,
! [X] :
( cC26(X)
<=> ? [Y0] : ra_Px9(X,Y0) ) ).
%----Equality cC26
fof(axiom_129,axiom,
! [X] :
( cC26(X)
<=> ? [Y] :
( rR1(X,Y)
& cC24(Y) ) ) ).
%----Equality cC26xcomp
fof(axiom_130,axiom,
! [X] :
( cC26xcomp(X)
<=> ~ ? [Y] : ra_Px9(X,Y) ) ).
%----Equality cC28
fof(axiom_131,axiom,
! [X] :
( cC28(X)
<=> ( cC16xcomp(X)
& cC26xcomp(X) ) ) ).
%----Equality cC30
fof(axiom_132,axiom,
! [X] :
( cC30(X)
<=> ( cC28(X)
& cC14(X) ) ) ).
%----Equality cC32
fof(axiom_133,axiom,
! [X] :
( cC32(X)
<=> ~ ? [Y] : ra_Px10(X,Y) ) ).
%----Equality cC32xcomp
fof(axiom_134,axiom,
! [X] :
( cC32xcomp(X)
<=> ? [Y0] : ra_Px10(X,Y0) ) ).
%----Equality cC34
fof(axiom_135,axiom,
! [X] :
( cC34(X)
<=> ? [Y] :
( rR1(X,Y)
& cC32xcomp(Y) ) ) ).
%----Equality cC36
fof(axiom_136,axiom,
! [X] :
( cC36(X)
<=> ( cC34(X)
& cC32(X) ) ) ).
%----Equality cC38
fof(axiom_137,axiom,
! [X] :
( cC38(X)
<=> ? [Y] :
( rR1(X,Y)
& cC36(Y) ) ) ).
%----Equality cC38
fof(axiom_138,axiom,
! [X] :
( cC38(X)
<=> ? [Y0] : ra_Px12(X,Y0) ) ).
%----Equality cC38xcomp
fof(axiom_139,axiom,
! [X] :
( cC38xcomp(X)
<=> ~ ? [Y] : ra_Px12(X,Y) ) ).
%----Equality cC4
fof(axiom_140,axiom,
! [X] :
( cC4(X)
<=> ? [Y] :
( rR1(X,Y)
& cC2xcomp(Y) ) ) ).
%----Equality cC40
fof(axiom_141,axiom,
! [X] :
( cC40(X)
<=> ? [Y0] : ra_Px86(X,Y0) ) ).
%----Equality cC40
fof(axiom_142,axiom,
! [X] :
( cC40(X)
<=> ( cC32xcomp(X)
& cC38xcomp(X) ) ) ).
%----Equality cC40xcomp
fof(axiom_143,axiom,
! [X] :
( cC40xcomp(X)
<=> ~ ? [Y] : ra_Px86(X,Y) ) ).
%----Equality cC42
fof(axiom_144,axiom,
! [X] :
( cC42(X)
<=> ? [Y0] : ra_Px14(X,Y0) ) ).
%----Equality cC42
fof(axiom_145,axiom,
! [X] :
( cC42(X)
<=> ? [Y] :
( rR1(X,Y)
& cC40(Y) ) ) ).
%----Equality cC42xcomp
fof(axiom_146,axiom,
! [X] :
( cC42xcomp(X)
<=> ~ ? [Y] : ra_Px14(X,Y) ) ).
%----Equality cC44
fof(axiom_147,axiom,
! [X] :
( cC44(X)
<=> ( cC42xcomp(X)
& cC32xcomp(X) ) ) ).
%----Equality cC46
fof(axiom_148,axiom,
! [X] :
( cC46(X)
<=> ( cC30(X)
& cC44(X) ) ) ).
%----Equality cC48
fof(axiom_149,axiom,
! [X] :
( cC48(X)
<=> ? [Y] :
( rR1(X,Y)
& cC16xcomp(Y) ) ) ).
%----Equality cC50
fof(axiom_150,axiom,
! [X] :
( cC50(X)
<=> ? [Y] :
( rR1(X,Y)
& cC16xcomp(Y) ) ) ).
%----Equality cC52
fof(axiom_151,axiom,
! [X] :
( cC52(X)
<=> ( cC50(X)
& cC16(X) ) ) ).
%----Equality cC54
fof(axiom_152,axiom,
! [X] :
( cC54(X)
<=> ? [Y0] : ra_Px18(X,Y0) ) ).
%----Equality cC54
fof(axiom_153,axiom,
! [X] :
( cC54(X)
<=> ? [Y] :
( rR1(X,Y)
& cC52(Y) ) ) ).
%----Equality cC54xcomp
fof(axiom_154,axiom,
! [X] :
( cC54xcomp(X)
<=> ~ ? [Y] : ra_Px18(X,Y) ) ).
%----Equality cC56
fof(axiom_155,axiom,
! [X] :
( cC56(X)
<=> ( cC16xcomp(X)
& cC54xcomp(X) ) ) ).
%----Equality cC58
fof(axiom_156,axiom,
! [X] :
( cC58(X)
<=> ~ ? [Y] : ra_Px19(X,Y) ) ).
%----Equality cC58
fof(axiom_157,axiom,
! [X] :
( cC58(X)
<=> ? [Y] :
( rR1(X,Y)
& cC56(Y) ) ) ).
%----Equality cC58xcomp
fof(axiom_158,axiom,
! [X] :
( cC58xcomp(X)
<=> ? [Y0] : ra_Px19(X,Y0) ) ).
%----Equality cC6
fof(axiom_159,axiom,
! [X] :
( cC6(X)
<=> ( cC2(X)
& cC4(X) ) ) ).
%----Equality cC60
fof(axiom_160,axiom,
! [X] :
( cC60(X)
<=> ~ ? [Y] : ra_Px85(X,Y) ) ).
%----Equality cC60
fof(axiom_161,axiom,
! [X] :
( cC60(X)
<=> ( cC48(X)
& cC58xcomp(X) ) ) ).
%----Equality cC60xcomp
fof(axiom_162,axiom,
! [X] :
( cC60xcomp(X)
<=> ? [Y0] : ra_Px85(X,Y0) ) ).
%----Equality cC62
fof(axiom_163,axiom,
! [X] :
( cC62(X)
<=> ? [Y] :
( rR1(X,Y)
& cC60(Y) ) ) ).
%----Equality cC62
fof(axiom_164,axiom,
! [X] :
( cC62(X)
<=> ? [Y0] : ra_Px20(X,Y0) ) ).
%----Equality cC62xcomp
fof(axiom_165,axiom,
! [X] :
( cC62xcomp(X)
<=> ~ ? [Y] : ra_Px20(X,Y) ) ).
%----Equality cC64
fof(axiom_166,axiom,
! [X] :
( cC64(X)
<=> ( cC62xcomp(X)
& cTOP(X) ) ) ).
%----Equality cC66
fof(axiom_167,axiom,
! [X] :
( cC66(X)
<=> ? [Y] :
( rR1(X,Y)
& cC16xcomp(Y) ) ) ).
%----Equality cC68
fof(axiom_168,axiom,
! [X] :
( cC68(X)
<=> ( cC16(X)
& cC66(X) ) ) ).
%----Equality cC70
fof(axiom_169,axiom,
! [X] :
( cC70(X)
<=> ? [Y] :
( rR1(X,Y)
& cC68(Y) ) ) ).
%----Equality cC70
fof(axiom_170,axiom,
! [X] :
( cC70(X)
<=> ? [Y0] : ra_Px23(X,Y0) ) ).
%----Equality cC70xcomp
fof(axiom_171,axiom,
! [X] :
( cC70xcomp(X)
<=> ~ ? [Y] : ra_Px23(X,Y) ) ).
%----Equality cC72
fof(axiom_172,axiom,
! [X] :
( cC72(X)
<=> ~ ? [Y] : ra_Px31(X,Y) ) ).
%----Equality cC72
fof(axiom_173,axiom,
! [X] :
( cC72(X)
<=> ( cC16xcomp(X)
& cC70xcomp(X) ) ) ).
%----Equality cC72xcomp
fof(axiom_174,axiom,
! [X] :
( cC72xcomp(X)
<=> ? [Y0] : ra_Px31(X,Y0) ) ).
%----Equality cC74
fof(axiom_175,axiom,
! [X] :
( cC74(X)
<=> ? [Y] :
( rR1(X,Y)
& cC16xcomp(Y) ) ) ).
%----Equality cC76
fof(axiom_176,axiom,
! [X] :
( cC76(X)
<=> ( cC16(X)
& cC74(X) ) ) ).
%----Equality cC78
fof(axiom_177,axiom,
! [X] :
( cC78(X)
<=> ? [Y] :
( rR1(X,Y)
& cC76(Y) ) ) ).
%----Equality cC78
fof(axiom_178,axiom,
! [X] :
( cC78(X)
<=> ? [Y0] : ra_Px26(X,Y0) ) ).
%----Equality cC78xcomp
fof(axiom_179,axiom,
! [X] :
( cC78xcomp(X)
<=> ~ ? [Y] : ra_Px26(X,Y) ) ).
%----Equality cC8
fof(axiom_180,axiom,
! [X] :
( cC8(X)
<=> ? [Y] :
( rR1(X,Y)
& cC6(Y) ) ) ).
%----Equality cC8
fof(axiom_181,axiom,
! [X] :
( cC8(X)
<=> ? [Y0] : ra_Px2(X,Y0) ) ).
%----Equality cC8xcomp
fof(axiom_182,axiom,
! [X] :
( cC8xcomp(X)
<=> ~ ? [Y] : ra_Px2(X,Y) ) ).
%----Equality cC80
fof(axiom_183,axiom,
! [X] :
( cC80(X)
<=> ( cC16xcomp(X)
& cC78xcomp(X) ) ) ).
%----Equality cC82
fof(axiom_184,axiom,
! [X] :
( cC82(X)
<=> ? [Y] :
( rR1(X,Y)
& cC80(Y) ) ) ).
%----Equality cC84
fof(axiom_185,axiom,
! [X] :
( cC84(X)
<=> ? [Y] :
( rR1(X,Y)
& cC82(Y) ) ) ).
%----Equality cC86
fof(axiom_186,axiom,
! [X] :
( cC86(X)
<=> ? [Y] :
( rR1(X,Y)
& cC16xcomp(Y) ) ) ).
%----Equality cC88
fof(axiom_187,axiom,
! [X] :
( cC88(X)
<=> ( cC16(X)
& cC86(X) ) ) ).
%----Equality cC90
fof(axiom_188,axiom,
! [X] :
( cC90(X)
<=> ? [Y] :
( rR1(X,Y)
& cC88(Y) ) ) ).
%----Equality cC90
fof(axiom_189,axiom,
! [X] :
( cC90(X)
<=> ? [Y0] : ra_Px29(X,Y0) ) ).
%----Equality cC90xcomp
fof(axiom_190,axiom,
! [X] :
( cC90xcomp(X)
<=> ~ ? [Y] : ra_Px29(X,Y) ) ).
%----Equality cC92
fof(axiom_191,axiom,
! [X] :
( cC92(X)
<=> ( cC16xcomp(X)
& cC90xcomp(X) ) ) ).
%----Equality cC94
fof(axiom_192,axiom,
! [X] :
( cC94(X)
<=> ? [Y0] : ra_Px30(X,Y0) ) ).
%----Equality cC94
fof(axiom_193,axiom,
! [X] :
( cC94(X)
<=> ? [Y] :
( rR1(X,Y)
& cC92(Y) ) ) ).
%----Equality cC94xcomp
fof(axiom_194,axiom,
! [X] :
( cC94xcomp(X)
<=> ~ ? [Y] : ra_Px30(X,Y) ) ).
%----Equality cC96
fof(axiom_195,axiom,
! [X] :
( cC96(X)
<=> ? [Y0] : ra_Px32(X,Y0) ) ).
%----Equality cC96
fof(axiom_196,axiom,
! [X] :
( cC96(X)
<=> ( cC84(X)
& cC94xcomp(X) ) ) ).
%----Equality cC96xcomp
fof(axiom_197,axiom,
! [X] :
( cC96xcomp(X)
<=> ~ ? [Y] : ra_Px32(X,Y) ) ).
%----Equality cC98
fof(axiom_198,axiom,
! [X] :
( cC98(X)
<=> ~ ? [Y] : ra_Px34(X,Y) ) ).
%----Equality cC98
fof(axiom_199,axiom,
! [X] :
( cC98(X)
<=> ( cC72xcomp(X)
& cC96xcomp(X) ) ) ).
%----Equality cC98xcomp
fof(axiom_200,axiom,
! [X] :
( cC98xcomp(X)
<=> ? [Y0] : ra_Px34(X,Y0) ) ).
%----Equality cTEST
fof(axiom_201,axiom,
! [X] :
( cTEST(X)
<=> ( cC216(X)
& cC46(X) ) ) ).
%----iV3102
fof(axiom_202,axiom,
cTEST(iV3102) ).
%----iV3102
fof(axiom_203,axiom,
cC2xcomp(iV3102) ).
%----iV3102
fof(axiom_204,axiom,
! [X] :
( rR1(iV3102,X)
=> cC24xcomp(X) ) ).
%----iV3102
fof(axiom_205,axiom,
cTOP(iV3102) ).
%----iV3102
fof(axiom_206,axiom,
cC26xcomp(iV3102) ).
%----iV3102
fof(axiom_207,axiom,
cC32xcomp(iV3102) ).
%----iV3102
fof(axiom_208,axiom,
! [X] :
( rR1(iV3102,X)
=> cC98(X) ) ).
%----iV3102
fof(axiom_209,axiom,
! [X] :
( rR1(iV3102,X)
=> cC60xcomp(X) ) ).
%----iV3102
fof(axiom_210,axiom,
cC16xcomp(iV3102) ).
%----iV3102
fof(axiom_211,axiom,
cC42xcomp(iV3102) ).
%----iV3102
fof(axiom_212,axiom,
cC62xcomp(iV3102) ).
%----iV3102
fof(axiom_213,axiom,
! [X] :
( rR1(iV3102,X)
=> cC40xcomp(X) ) ).
%----iV3102
fof(axiom_214,axiom,
! [X] :
( rR1(iV3102,X)
=> cC10xcomp(X) ) ).
%----iV3102
fof(axiom_215,axiom,
cC12xcomp(iV3102) ).
%----iV3102
fof(axiom_216,axiom,
cC214xcomp(iV3102) ).
%----iV3102
fof(axiom_217,axiom,
cowlThing(iV3102) ).
%----iV3102
fof(axiom_218,axiom,
cC100xcomp(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) )
& cC14(iV3102)
& cC44(iV3102)
& cC216(iV3102)
& cC64(iV3102)
& cC46(iV3102)
& cC28(iV3102)
& cowlThing(iV3102)
& cC30(iV3102) ) ).
%------------------------------------------------------------------------------