TPTP Problem File: CSR146^3.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : CSR146^3 : TPTP v8.2.0. Released v4.1.0.
% Domain : Commonsense Reasoning
% Problem : What is the relation between Chris and Corina during 2009?
% Version : Especial.
% English : During 2009 Corina is the wife of Chris. True holds at any time.
% What is the relation between Chris and Corina during 2009?
% Refs : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% Source : [Ben10]
% Names : ex_5.tq_SUMO_local [Ben10]
% Status : Theorem
% Rating : 0.20 v8.2.0, 0.31 v8.1.0, 0.18 v7.5.0, 0.14 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.38 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.14 v6.1.0, 0.57 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.40 v5.3.0, 0.60 v5.2.0, 0.40 v5.1.0, 0.60 v5.0.0, 0.40 v4.1.0
% Syntax : Number of formulae : 15 ( 1 unt; 9 typ; 0 def)
% Number of atoms : 14 ( 1 equ; 2 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 29 ( 2 ~; 0 |; 1 &; 24 @)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 2 ^; 5 !; 2 ?; 9 :)
% SPC : TH0_THM_EQU_NAR
% Comments : This is a simple test problem for reasoning in/about SUMO.
% Initally the problem has been hand generated in KIF syntax in
% SigmaKEE and then automatically translated by Benzmueller's
% KIF2TH0 translator into THF syntax.
% : The translation has been applied in three modes: handselected,
% SInE, and local. The local mode only translates the local
% assumptions and the query. The SInE mode additionally translates
% the SInE extract of the loaded knowledge base (usually SUMO). The
% handselected mode contains a hand-selected relevant axioms.
% : The examples are selected to illustrate the benefits of
% higher-order reasoning in ontology reasoning.
%------------------------------------------------------------------------------
%----The extracted signature
thf(numbers,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(husband_THFTYPE_IiioI,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(lChris_THFTYPE_i,type,
lChris_THFTYPE_i: $i ).
thf(lCorina_THFTYPE_i,type,
lCorina_THFTYPE_i: $i ).
thf(lYearFn_THFTYPE_IiiI,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(n2009_THFTYPE_i,type,
n2009_THFTYPE_i: $i ).
thf(wife_THFTYPE_IiioI,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
%----The handselected axioms from the knowledge base
thf(inverse_THFTYPE_IIiioIIiioIoI,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(ax,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).
thf(ax_001,axiom,
! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
=> ! [INST1: $i,INST2: $i] :
( ( REL1 @ INST1 @ INST2 )
<=> ( REL2 @ INST2 @ INST1 ) ) ) ).
%----The translated axioms
thf(ax_002,axiom,
! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ) ).
thf(ax_003,axiom,
? [X: $i] : ( (~) @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X ) ) ).
thf(ax_004,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ).
%----The translated conjectures
thf(con,conjecture,
? [R: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( (~)
@ ( R
= ( ^ [X: $i,Y: $i] : $true ) ) ) ) ).
%------------------------------------------------------------------------------