TPTP Problem File: KRS102+1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : KRS102+1 : TPTP v8.2.0. Released v3.1.0.
% Domain : Knowledge Representation (Semantic Web)
% Problem : This is the classic 3 SAT problem
% 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 : inconsistent_description-logic-Manifest502 [Bec03]
% Status : Unsatisfiable
% Rating : 0.00 v7.3.0, 0.67 v7.1.0, 0.00 v5.5.0, 0.33 v5.3.0, 0.00 v3.2.0, 0.33 v3.1.0
% Syntax : Number of formulae : 83 ( 21 unt; 0 def)
% Number of atoms : 205 ( 161 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 125 ( 3 ~; 100 |; 6 &)
% ( 11 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% SPC : FOF_UNS_EPR_SEQ
% 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.
%------------------------------------------------------------------------------
fof(cTorF_substitution_1,axiom,
! [A,B] :
( ( A = B
& cTorF(A) )
=> cTorF(B) ) ).
fof(cowlNothing_substitution_1,axiom,
! [A,B] :
( ( A = B
& cowlNothing(A) )
=> cowlNothing(B) ) ).
fof(cowlThing_substitution_1,axiom,
! [A,B] :
( ( A = B
& cowlThing(A) )
=> cowlThing(B) ) ).
fof(xsd_integer_substitution_1,axiom,
! [A,B] :
( ( A = B
& xsd_integer(A) )
=> xsd_integer(B) ) ).
fof(xsd_string_substitution_1,axiom,
! [A,B] :
( ( A = B
& xsd_string(A) )
=> xsd_string(B) ) ).
%----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) ) ).
%----Enumeration cTorF
fof(axiom_2,axiom,
! [X] :
( cTorF(X)
<=> ( X = iplus1
| X = iminus1 ) ) ).
%----Enumeration cTorF
fof(axiom_3,axiom,
! [X] :
( cTorF(X)
<=> ( X = iminus4
| X = iplus4 ) ) ).
%----Enumeration cTorF
fof(axiom_4,axiom,
! [X] :
( cTorF(X)
<=> ( X = iplus2
| X = iminus2 ) ) ).
%----Enumeration cTorF
fof(axiom_5,axiom,
! [X] :
( cTorF(X)
<=> ( X = iplus7
| X = iminus7 ) ) ).
%----Enumeration cTorF
fof(axiom_6,axiom,
! [X] :
( cTorF(X)
<=> ( X = iplus5
| X = iminus5 ) ) ).
%----Enumeration cTorF
fof(axiom_7,axiom,
! [X] :
( cTorF(X)
<=> ( X = iplus3
| X = iminus3 ) ) ).
%----Enumeration cTorF
fof(axiom_8,axiom,
! [X] :
( cTorF(X)
<=> ( X = iT
| X = iF ) ) ).
%----Enumeration cTorF
fof(axiom_9,axiom,
! [X] :
( cTorF(X)
<=> ( X = iplus8
| X = iminus8 ) ) ).
%----Enumeration cTorF
fof(axiom_10,axiom,
! [X] :
( cTorF(X)
<=> ( X = iminus6
| X = iplus6 ) ) ).
%----Enumeration cTorF
fof(axiom_11,axiom,
! [X] :
( cTorF(X)
<=> ( X = iminus9
| X = iplus9 ) ) ).
%----iF
fof(axiom_12,axiom,
cowlThing(iF) ).
%----iT
fof(axiom_13,axiom,
( iT = iminus6
| iT = iplus2
| iT = iplus1 ) ).
%----iT
fof(axiom_14,axiom,
( iT = iminus6
| iT = iplus9
| iT = iminus7 ) ).
%----iT
fof(axiom_15,axiom,
( iT = iplus8
| iT = iminus3
| iT = iplus7 ) ).
%----iT
fof(axiom_16,axiom,
( iT = iplus5
| iT = iplus9
| iT = iminus7 ) ).
%----iT
fof(axiom_17,axiom,
( iT = iminus6
| iT = iplus1
| iT = iplus9 ) ).
%----iT
fof(axiom_18,axiom,
( iT = iplus3
| iT = iminus9
| iT = iplus4 ) ).
%----iT
fof(axiom_19,axiom,
( iT = iminus9
| iT = iminus6
| iT = iplus1 ) ).
%----iT
fof(axiom_20,axiom,
cowlThing(iT) ).
%----iT
fof(axiom_21,axiom,
( iT = iminus8
| iT = iminus4
| iT = iplus9 ) ).
%----iT
fof(axiom_22,axiom,
( iT = iplus3
| iT = iplus6
| iT = iplus4 ) ).
%----iT
fof(axiom_23,axiom,
( iT = iplus1
| iT = iplus7
| iT = iplus4 ) ).
%----iT
fof(axiom_24,axiom,
( iT = iplus3
| iT = iminus8
| iT = iminus2 ) ).
%----iT
fof(axiom_25,axiom,
( iT = iminus8
| iT = iplus6
| iT = iplus4 ) ).
%----iT
fof(axiom_26,axiom,
( iT = iplus3
| iT = iminus9
| iT = iminus2 ) ).
%----iT
fof(axiom_27,axiom,
( iT = iplus6
| iT = iminus2
| iT = iminus7 ) ).
%----iT
fof(axiom_28,axiom,
( iT = iplus6
| iT = iminus4
| iT = iminus3 ) ).
%----iT
fof(axiom_29,axiom,
( iT = iminus6
| iT = iplus1
| iT = iminus4 ) ).
%----iT
fof(axiom_30,axiom,
( iT = iplus1
| iT = iminus4
| iT = iplus9 ) ).
%----iT
fof(axiom_31,axiom,
( iT = iplus8
| iT = iplus2
| iT = iminus4 ) ).
%----iT
fof(axiom_32,axiom,
( iT = iplus5
| iT = iminus4
| iT = iplus9 ) ).
%----iT
fof(axiom_33,axiom,
( iT = iminus5
| iT = iplus6
| iT = iplus4 ) ).
%----iT
fof(axiom_34,axiom,
( iT = iplus8
| iT = iminus5
| iT = iplus7 ) ).
%----iT
fof(axiom_35,axiom,
( iT = iminus5
| iT = iminus9
| iT = iminus2 ) ).
%----iT
fof(axiom_36,axiom,
( iT = iminus4
| iT = iminus3
| iT = iminus7 ) ).
%----iT
fof(axiom_37,axiom,
( iT = iplus2
| iT = iplus4
| iT = iminus1 ) ).
%----iT
fof(axiom_38,axiom,
( iT = iminus2
| iT = iplus1
| iT = iminus3 ) ).
%----iT
fof(axiom_39,axiom,
( iT = iplus3
| iT = iplus6
| iT = iminus4 ) ).
%----iT
fof(axiom_40,axiom,
( iT = iminus8
| iT = iminus9
| iT = iminus4 ) ).
%----iT
fof(axiom_41,axiom,
( iT = iplus3
| iT = iplus1
| iT = iplus4 ) ).
%----iT
fof(axiom_42,axiom,
( iT = iplus8
| iT = iplus2
| iT = iminus3 ) ).
%----iT
fof(axiom_43,axiom,
( iT = iplus3
| iT = iminus8
| iT = iplus9 ) ).
%----iT
fof(axiom_44,axiom,
( iT = iplus8
| iT = iplus3
| iT = iminus7 ) ).
%----iT
fof(axiom_45,axiom,
( iT = iminus5
| iT = iminus8
| iT = iminus3 ) ).
%----iT
fof(axiom_46,axiom,
( iT = iplus3
| iT = iplus9
| iT = iplus4 ) ).
%----iT
fof(axiom_47,axiom,
( iT = iminus8
| iT = iplus6
| iT = iminus7 ) ).
%----iT
fof(axiom_48,axiom,
( iT = iminus9
| iT = iminus2
| iT = iplus7 ) ).
%----iT
fof(axiom_49,axiom,
( iT = iplus5
| iT = iminus8
| iT = iminus3 ) ).
%----iT
fof(axiom_50,axiom,
( iT = iminus5
| iT = iplus2
| iT = iminus7 ) ).
%----iT
fof(axiom_51,axiom,
( iT = iplus6
| iT = iminus2
| iT = iplus9 ) ).
%----iT
fof(axiom_52,axiom,
( iT = iplus2
| iT = iplus1
| iT = iminus4 ) ).
%----iT
fof(axiom_53,axiom,
( iT = iplus6
| iT = iminus4
| iT = iminus1 ) ).
%----iT
fof(axiom_54,axiom,
( iT = iminus5
| iT = iplus3
| iT = iminus9 ) ).
%----iT
fof(axiom_55,axiom,
( iT = iplus5
| iT = iplus2
| iT = iplus9 ) ).
%----iT
fof(axiom_56,axiom,
( iT = iminus6
| iT = iminus2
| iT = iplus4 ) ).
%----iT
fof(axiom_57,axiom,
( iT = iplus8
| iT = iplus6
| iT = iminus4 ) ).
%----iT
fof(axiom_58,axiom,
( iT = iminus4
| iT = iplus7
| iT = iplus9 ) ).
%----iminus1
fof(axiom_59,axiom,
cowlThing(iminus1) ).
%----iminus2
fof(axiom_60,axiom,
cowlThing(iminus2) ).
%----iminus3
fof(axiom_61,axiom,
cowlThing(iminus3) ).
%----iminus4
fof(axiom_62,axiom,
cowlThing(iminus4) ).
%----iminus5
fof(axiom_63,axiom,
cowlThing(iminus5) ).
%----iminus6
fof(axiom_64,axiom,
cowlThing(iminus6) ).
%----iminus7
fof(axiom_65,axiom,
cowlThing(iminus7) ).
%----iminus8
fof(axiom_66,axiom,
cowlThing(iminus8) ).
%----iminus9
fof(axiom_67,axiom,
cowlThing(iminus9) ).
%----iplus1
fof(axiom_68,axiom,
cowlThing(iplus1) ).
%----iplus2
fof(axiom_69,axiom,
cowlThing(iplus2) ).
%----iplus3
fof(axiom_70,axiom,
cowlThing(iplus3) ).
%----iplus4
fof(axiom_71,axiom,
cowlThing(iplus4) ).
%----iplus5
fof(axiom_72,axiom,
cowlThing(iplus5) ).
%----iplus6
fof(axiom_73,axiom,
cowlThing(iplus6) ).
%----iplus7
fof(axiom_74,axiom,
cowlThing(iplus7) ).
%----iplus8
fof(axiom_75,axiom,
cowlThing(iplus8) ).
%----iplus9
fof(axiom_76,axiom,
cowlThing(iplus9) ).
fof(axiom_77,axiom,
iT != iF ).
%------------------------------------------------------------------------------