%------------------------------------------------------------------------------
% File : SYP086_1 : TPTP v9.3.1. Released v9.3.0.
% Domain : Syntactic
% Problem : Logic KD, problem k_grz, size 10
% Version : Especial.
% English :
% Refs : [BHS98] Balsiger et al. (1998), Logics Workbench 1.0
% : [Ste24] Steen (2024), Email to Geoff Sutcliffe
% Source : [Ste24]
% Names : KD/k_grz_n/10.p
% Status : CounterSatisfiable
% Rating : 0.00 v9.3.0
% Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% Number of atoms : 268 ( 0 equ)
% Maximal formula atoms : 268 ( 268 avg)
% Number of connectives : 417 ( 0 ~; 182 |; 14 &)
% ( 0 <=>; 71 =>; 0 <=; 0 <~>)
% ( 150 {.}; 0 {#})
% Maximal formula depth : 26 ( 26 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 5 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% SPC : NX0_CSA_PRP_NEQ_NAR_NDT
% Comments :
%------------------------------------------------------------------------------
tff(simple_k,logic,
$modal ==
[ $domains == $constant,
$designation == $rigid,
$terms == $local,
$modalities == $modal_system_D ] ).
tff(p1_type,type,
p1: $o ).
tff(p2_type,type,
p2: $o ).
tff(p3_type,type,
p3: $o ).
tff(p4_type,type,
p4: $o ).
tff(10,conjecture,
( ( [.] ( [.] ( [.] ( p2
=> [.] p2 )
=> p2 )
=> [.] p2 )
& ( [.] ( [.] ( ( [.] $false
| p1 )
=> [.] ( [.] $false
| p1 ) )
=> ( [.] $false
| p1 ) )
=> [.] ( [.] $false
| p1 ) )
& ( [.] ( [.] ( ( [.] $false
| p1
| p2 )
=> [.] ( [.] $false
| p1
| p2 ) )
=> ( [.] $false
| p1
| p2 ) )
=> [.] ( [.] $false
| p1
| p2 ) )
& ( [.] ( [.] ( ( [.] $false
| p1
| p2
| p3 )
=> [.] ( [.] $false
| p1
| p2
| p3 ) )
=> ( [.] $false
| p1
| p2
| p3 ) )
=> [.] ( [.] $false
| p1
| p2
| p3 ) )
& ( [.] ( [.] ( ( [.] $false
| p1
| p2
| p3
| p4 )
=> [.] ( [.] $false
| p1
| p2
| p3
| p4 ) )
=> ( [.] $false
| p1
| p2
| p3
| p4 ) )
=> [.] ( [.] $false
| p1
| p2
| p3
| p4 ) )
& ( [.] ( [.] ( ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1 )
=> [.] ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1 ) )
=> ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1 ) )
=> [.] ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1 ) )
& ( [.] ( [.] ( ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1
| p2 )
=> [.] ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1
| p2 ) )
=> ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1
| p2 ) )
=> [.] ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1
| p2 ) )
& ( [.] ( [.] ( ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1
| p2
| p3 )
=> [.] ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1
| p2
| p3 ) )
=> ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1
| p2
| p3 ) )
=> [.] ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1
| p2
| p3 ) )
& ( [.] ( [.] ( ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1
| p2
| p3
| p4 )
=> [.] ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1
| p2
| p3
| p4 ) )
=> ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1
| p2
| p3
| p4 ) )
=> [.] ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1
| p2
| p3
| p4 ) )
& ( [.] ( [.] ( ( [.] ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1
| p2
| p3
| p4 )
| p1 )
=> [.] ( [.] ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1
| p2
| p3
| p4 )
| p1 ) )
=> ( [.] ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1
| p2
| p3
| p4 )
| p1 ) )
=> [.] ( [.] ( [.] ( [.] $false
| p1
| p2
| p3
| p4 )
| p1
| p2
| p3
| p4 )
| p1 ) )
& ( [.] ( [.] ( ( ( [.] ( p2
=> [.] p2 )
=> p2 )
& ( [.] ( [.] ( p2
=> [.] p2 )
=> p2 )
=> [.] [.] ( [.] ( p2
=> [.] p2 )
=> p2 ) ) )
=> [.] ( ( [.] ( p2
=> [.] p2 )
=> p2 )
& ( [.] ( [.] ( p2
=> [.] p2 )
=> p2 )
=> [.] [.] ( [.] ( p2
=> [.] p2 )
=> p2 ) ) ) )
=> ( ( [.] ( p2
=> [.] p2 )
=> p2 )
& ( [.] ( [.] ( p2
=> [.] p2 )
=> p2 )
=> [.] [.] ( [.] ( p2
=> [.] p2 )
=> p2 ) ) ) )
=> [.] ( ( [.] ( p2
=> [.] p2 )
=> p2 )
& ( [.] ( [.] ( p2
=> [.] p2 )
=> p2 )
=> [.] [.] ( [.] ( p2
=> [.] p2 )
=> p2 ) ) ) ) )
=> ( ( [.] ( [.] ( p1
=> [.] p1 )
=> p1 )
=> p1 )
| ( [.] ( [.] ( p2
=> [.] p2 )
=> p2 )
=> p2 )
| ( [.] ( [.] ( p3
=> [.] p3 )
=> p3 )
=> p3 ) ) ) ).
%------------------------------------------------------------------------------