TPTP Problem File: SYO909_8.p
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- Solve Problem
%------------------------------------------------------------------------------
% File : SYO909_8 : TPTP v9.0.0. Released v8.2.0.
% Domain : Syntactic
% Problem : Quantified modal logics wwfs. problem 15.
% Version : Especial.
% English :
% Refs : [Sid10] Sider (2010), Logic for Philosophy
% : [RO12] Raths & Otten (2012), The QMLTP Problem Library for Fi
% Source : [QMLTP]
% Names : SYM076+1 [QMLTP]
% Status : CounterSatisfiable
% Rating : 0.00 v8.2.0
% Syntax : Number of formulae : 8 ( 1 unt; 6 typ; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 6 ( 0 ~; 0 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 3 usr; 0 prp; 2-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 4 (; 1 !; 3 ?; 4 :)
% SPC : TF0_CSA_NEQ_NAR
% Comments : Generated by embedproblem, version 1.7.14, rigid constant,
% modal_system_M, TFF embedding.
%------------------------------------------------------------------------------
tff('$ki_world_type',type,
'$ki_world': $tType ).
tff('$ki_local_world_decl',type,
'$ki_local_world': '$ki_world' ).
tff('$ki_accessible_decl',type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(mrel_reflexive,axiom,
! [W: '$ki_world'] : '$ki_accessible'(W,W) ).
tff(a_decl,type,
a: $i ).
tff(f_decl,type,
f: ( '$ki_world' * $i ) > $o ).
tff(g_decl,type,
g: ( '$ki_world' * $i ) > $o ).
tff(verify,conjecture,
( ( ? [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
& f(W,a) )
& ? [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
& g(W,a) ) )
=> ? [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
& f(W,a)
& g(W,a) ) ) ).
%------------------------------------------------------------------------------