TPTP Problem File: SYO903_10.p
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- Solve Problem
%------------------------------------------------------------------------------
% File : SYO903_10 : TPTP v9.0.0. Released v8.2.0.
% Domain : Syntactic
% Problem : PSAT - CNF - K=4 C=50 V=4 D=2.8
% Version : Especial.
% English :
% Refs : [Sch99] Schmidt (1999), Decidability by Resolution for Proposi
% : [HS00] Hustadt & Schmidt (2000), Issues of Decidability for D
% : [HS00] Hustadt & Schmidt (2000), MSPASS: Modal Reasoning by T
% : [Sch01] Schmidt (2001), Email to G. Sutcliffe
% : [RO12] Raths & Otten (2012), The QMLTP Problem Library for Fi
% Source : [QMLTP]
% Names : SYM329+1 [QMLTP]
% Status : ContradictoryAxioms
% Rating : 0.00 v8.2.0
% Syntax : Number of formulae : 61 ( 2 unt; 7 typ; 0 def)
% Number of atoms : 396 ( 0 equ)
% Maximal formula atoms : 10 ( 7 avg)
% Number of connectives : 439 ( 97 ~; 150 |; 2 &)
% ( 0 <=>; 190 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 5 >; 1 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 194 (; 193 !; 1 ?; 194 :)
% SPC : TF0_CAX_NEQ_NAR
% Comments : Generated by embedproblem, version 1.7.14, rigid constant,
% modal_system_S4, 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'] : '$ki_accessible'(W,W) ).
tff(mrel_transitive,axiom,
! [W: '$ki_world',V: '$ki_world',U: '$ki_world'] :
( ( '$ki_accessible'(W,V)
& '$ki_accessible'(V,U) )
=> '$ki_accessible'(W,U) ) ).
tff(v1_decl,type,
v1: '$ki_world' > $o ).
tff(v2_decl,type,
v2: '$ki_world' > $o ).
tff(v3_decl,type,
v3: '$ki_world' > $o ).
tff(v4_decl,type,
v4: '$ki_world' > $o ).
tff(persat1,axiom,
( v1('$ki_local_world')
| v2('$ki_local_world')
| v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v1(W0) ) ) ) ).
tff(persat2,axiom,
( v1('$ki_local_world')
| v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v3(W0) ) ) ) ).
tff(persat3,axiom,
( v1('$ki_local_world')
| v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v4(W0) ) ) ) ).
tff(persat4,axiom,
( v1('$ki_local_world')
| v2('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v3(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v1(W0) ) ) ) ).
tff(persat5,axiom,
( v1('$ki_local_world')
| v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v3(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v4(W0) ) ) ) ).
tff(persat6,axiom,
( v1('$ki_local_world')
| v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v1(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v1(W0) ) ) ) ).
tff(persat7,axiom,
( v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v2(W0) ) ) ) ).
tff(persat8,axiom,
( v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v3(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v3(W0) ) ) ) ).
tff(persat9,axiom,
( v1('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v4(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v4(W0) ) ) ) ).
tff(persat10,axiom,
( v1('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v1(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v1(W0) ) ) ) ).
tff(persat11,axiom,
( v1('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v3(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v4(W0) ) ) ) ).
tff(persat12,axiom,
( v1('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v1(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v1(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v1(W0) ) ) ) ).
tff(persat13,axiom,
( v1('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v2(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v4(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v2(W0) ) ) ) ).
tff(persat14,axiom,
( v2('$ki_local_world')
| v3('$ki_local_world')
| v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v4(W0) ) ) ) ).
tff(persat15,axiom,
( v2('$ki_local_world')
| v4('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v4(W0) ) ) ) ).
tff(persat16,axiom,
( v2('$ki_local_world')
| v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v2(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v2(W0) ) ) ) ).
tff(persat17,axiom,
( v2('$ki_local_world')
| ~ v1('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v4(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v3(W0) ) ) ) ).
tff(persat18,axiom,
( v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v1(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v1(W0) ) ) ) ).
tff(persat19,axiom,
( v2('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v4(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v2(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v3(W0) ) ) ) ).
tff(persat20,axiom,
( v2('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v1(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v3(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v2(W0) ) ) ) ).
tff(persat21,axiom,
( v2('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v3(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v3(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v4(W0) ) ) ) ).
tff(persat22,axiom,
( v3('$ki_local_world')
| v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v2(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v1(W0) ) ) ) ).
tff(persat23,axiom,
( v3('$ki_local_world')
| v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v1(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v4(W0) ) ) ) ).
tff(persat24,axiom,
( v3('$ki_local_world')
| v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v2(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v4(W0) ) ) ) ).
tff(persat25,axiom,
( v3('$ki_local_world')
| ~ v1('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v1(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v2(W0) ) ) ) ).
tff(persat26,axiom,
( v3('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v3(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v4(W0) ) ) ) ).
tff(persat27,axiom,
( v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v1(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v1(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v4(W0) ) ) ) ).
tff(persat28,axiom,
( v4('$ki_local_world')
| ~ v1('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v1(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v2(W0) ) ) ) ).
tff(persat29,axiom,
( v4('$ki_local_world')
| ~ v1('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v1(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v3(W0) ) ) ) ).
tff(persat30,axiom,
( v4('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v1(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v2(W0) ) ) ) ).
tff(persat31,axiom,
( v4('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v1(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v4(W0) ) ) ) ).
tff(persat32,axiom,
( v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v1(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v4(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v1(W0) ) ) ) ).
tff(persat33,axiom,
( ~ v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v3(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v1(W0) ) ) ) ).
tff(persat34,axiom,
( ~ v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v4(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v1(W0) ) ) ) ).
tff(persat35,axiom,
( ~ v1('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v3(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v4(W0) ) ) ) ).
tff(persat36,axiom,
( ~ v1('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v1(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v3(W0) ) ) ) ).
tff(persat37,axiom,
( ~ v1('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v1(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v1(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v4(W0) ) ) ) ).
tff(persat38,axiom,
( ~ v1('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v4(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v4(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v4(W0) ) ) ) ).
tff(persat39,axiom,
( ~ v1('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v1(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v4(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v3(W0) ) ) ) ).
tff(persat40,axiom,
( ~ v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v1(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v4(W0) ) ) ) ).
tff(persat41,axiom,
( ~ v2('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v2(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v3(W0) ) ) ) ).
tff(persat42,axiom,
( ~ v2('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v4(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v2(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v3(W0) ) ) ) ).
tff(persat43,axiom,
( ~ v2('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v3(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v4(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v1(W0) ) ) ) ).
tff(persat44,axiom,
( ~ v3('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v4(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v4(W0) ) ) ) ).
tff(persat45,axiom,
( ~ v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v3(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v4(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v3(W0) ) ) ) ).
tff(persat46,axiom,
( ~ v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v4(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v2(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v4(W0) ) ) ) ).
tff(persat47,axiom,
( ~ v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v1(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v3(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v4(W0) ) ) ) ).
tff(persat48,axiom,
( ~ v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v3(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v2(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v4(W0) ) ) ) ).
tff(persat49,axiom,
( ~ v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v4(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v1(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v1(W0) ) ) ) ).
tff(persat50,axiom,
( ~ v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v2(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> v4(W0) ) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ! [W0: '$ki_world'] :
( '$ki_accessible'(W,W0)
=> ~ v4(W0) ) ) ) ).
tff(deontic1,axiom,
? [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
& $true ) ).
tff(verify,conjecture,
$false ).
%------------------------------------------------------------------------------