TPTP Problem File: SYO913_15.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SYO913_15 : TPTP v8.2.0. Released v8.2.0.
% Domain : Syntactic
% Problem : PSAT - CNF - K=4 C=20 V=8 D=1.8
% 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 : SYM305+1 [QMLTP]
% Status : CounterSatisfiable
% Rating : 0.00 v8.2.0
% Syntax : Number of formulae : 34 ( 2 unt; 11 typ; 0 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 151 ( 49 ~; 60 |; 1 &)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 10 ( 9 >; 1 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 2 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 44 (; 42 !; 2 ?; 44 :)
% SPC : TF0_CSA_NEQ_NAR
% Comments : Generated by embedproblem, version 1.7.14, rigid constant,
% modal_system_D, 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' ) > $o ).
tff(mrel_serial,axiom,
! [W: '$ki_world'] :
? [V: '$ki_world'] : '$ki_accessible'(W,V) ).
tff(v6_decl,type,
v6: '$ki_world' > $o ).
tff(v7_decl,type,
v7: '$ki_world' > $o ).
tff(v8_decl,type,
v8: '$ki_world' > $o ).
tff(v1_decl,type,
v1: '$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' > $o ).
tff(v5_decl,type,
v5: '$ki_world' > $o ).
tff(persat1,axiom,
( v1('$ki_local_world')
| v7('$ki_local_world')
| ~ v2('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v3(W) ) ) ).
tff(persat2,axiom,
( v2('$ki_local_world')
| ~ v5('$ki_local_world')
| ~ v8('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v2(W) ) ) ).
tff(persat3,axiom,
( v4('$ki_local_world')
| v5('$ki_local_world')
| ~ v8('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v3(W) ) ) ).
tff(persat4,axiom,
( v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v3(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v8(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v7(W) ) ) ).
tff(persat5,axiom,
( v5('$ki_local_world')
| v7('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v4(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v8(W) ) ) ).
tff(persat6,axiom,
( v5('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v3(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v5(W) ) ) ).
tff(persat7,axiom,
( v6('$ki_local_world')
| v8('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v5(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v3(W) ) ) ).
tff(persat8,axiom,
( v6('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v7(W) ) ) ).
tff(persat9,axiom,
( v7('$ki_local_world')
| ~ v2('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v2(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v5(W) ) ) ).
tff(persat10,axiom,
( v8('$ki_local_world')
| ~ v1('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v2(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v3(W) ) ) ).
tff(persat11,axiom,
( ~ v1('$ki_local_world')
| ~ v2('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v4(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v7(W) ) ) ).
tff(persat12,axiom,
( ~ v1('$ki_local_world')
| ~ v6('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v7(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v3(W) ) ) ).
tff(persat13,axiom,
( ~ v3('$ki_local_world')
| ~ v8('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v7(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v7(W) ) ) ).
tff(persat14,axiom,
( ~ v3('$ki_local_world')
| ~ v8('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v8(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v7(W) ) ) ).
tff(persat15,axiom,
( ~ v3('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v6(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v8(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v6(W) ) ) ).
tff(persat16,axiom,
( ~ v4('$ki_local_world')
| ~ v5('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v6(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v6(W) ) ) ).
tff(persat17,axiom,
( ~ v4('$ki_local_world')
| ~ v8('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v3(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v4(W) ) ) ).
tff(persat18,axiom,
( ~ v4('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v5(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v3(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v6(W) ) ) ).
tff(persat19,axiom,
( ~ v5('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v4(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v6(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v5(W) ) ) ).
tff(persat20,axiom,
( ~ v7('$ki_local_world')
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> v7(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v1(W) )
| ! [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
=> ~ v3(W) ) ) ).
tff(deontic1,axiom,
? [W: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',W)
& $true ) ).
tff(verify,conjecture,
$false ).
%------------------------------------------------------------------------------