%------------------------------------------------------------------------------
% File : SYP115_1 : TPTP v9.3.1. Released v9.3.0.
% Domain : Syntactic
% Problem : Logic KT, problem k_t4p, 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 : KT/k_t4p_p/10.p
% Status : Theorem
% Rating : 0.67 v9.3.0
% Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 97 ( 97 avg)
% Number of connectives : 400 ( 75 ~; 51 |; 25 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% ( 229 {.}; 0 {#})
% Maximal formula depth : 44 ( 44 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 : 4 ( 4 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% SPC : NX0_THM_PRP_NEQ_NAR_NDT
% Comments :
%------------------------------------------------------------------------------
tff(simple_k,logic,
$modal ==
[ $domains == $constant,
$designation == $rigid,
$terms == $local,
$modalities == $modal_system_M ] ).
tff(p0_type,type,
p0: $o ).
tff(p1_type,type,
p1: $o ).
tff(p3_type,type,
p3: $o ).
tff(p4_type,type,
p4: $o ).
tff(10,conjecture,
( <.> ~ ( [.] ~ p1
=> [.] [.] ~ p1 )
| [.] ( <.> ~ ( [.] ~ p1
=> [.] [.] ~ p1 )
| [.] ( <.> ~ ( [.] ~ p1
=> [.] [.] ~ p1 )
| [.] ( <.> ~ ( [.] ~ p1
=> [.] [.] ~ p1 )
| [.] ( <.> ~ ( [.] ~ p1
=> [.] [.] ~ p1 )
| [.] ( <.> ~ ( [.] ~ p1
=> [.] [.] ~ p1 )
| [.] ( <.> ~ ( [.] ~ p1
=> [.] [.] ~ p1 )
| [.] ( <.> ~ ( [.] ~ p1
=> [.] [.] ~ p1 )
| [.] ( <.> ~ ( [.] ~ p1
=> [.] [.] ~ p1 )
| [.] ( <.> ~ ( [.] ~ p1
=> [.] [.] ~ p1 )
| [.] <.> [.] p0
| [.] ( ~ [.] p1
=> [.] ~ [.] p1 ) )
| [.] ( ~ [.] p1
=> [.] ~ [.] p1 ) )
| [.] ( ~ [.] p1
=> [.] ~ [.] p1 ) )
| [.] ( ~ [.] p1
=> [.] ~ [.] p1 ) )
| [.] ( ~ [.] p1
=> [.] ~ [.] p1 ) )
| [.] ( ~ [.] p1
=> [.] ~ [.] p1 ) )
| [.] ( ~ [.] p1
=> [.] ~ [.] p1 ) )
| [.] ( ~ [.] p1
=> [.] ~ [.] p1 ) )
| [.] ( ~ [.] p1
=> [.] ~ [.] p1 ) )
| [.] ( ~ [.] p1
=> [.] ~ [.] p1 )
| <.> ( [.] p1
& <.> <.> ~ p1 )
| <.> ( <.> ( [.] p1
& <.> <.> ~ p1 )
| <.> ( <.> ( [.] p1
& <.> <.> ~ p1 )
| <.> ( <.> ( [.] p1
& <.> <.> ~ p1 )
| <.> ( <.> ( [.] p1
& <.> <.> ~ p1 )
| <.> ( <.> ( [.] p1
& <.> <.> ~ p1 )
| <.> ( <.> ( [.] p1
& <.> <.> ~ p1 )
| <.> ( <.> ( [.] p1
& <.> <.> ~ p1 )
| <.> ( <.> ( [.] p1
& <.> <.> ~ p1 )
| <.> ( <.> ( [.] p1
& <.> <.> ~ p1 )
| <.> ( ( [.] <.> p0
& [.] ( ~ p0
| [.] p3 ) )
| <.> ( [.] <.> [.] ( ~ p0
| [.] p3 )
& [.] <.> p0 )
| ( [.] <.> p0
& <.> <.> [.] ( ~ p0
| [.] p3 ) )
| <.> ( <.> [.] <.> p0
& p0
& <.> ( ~ p0
| [.] p3 ) )
| <.> [.] ( ~ p0
| [.] p3 ) )
| <.> ( [.] <.> p1
& <.> <.> [.] ~ p1 ) )
| <.> ( [.] <.> p1
& <.> <.> [.] ~ p1 ) )
| <.> ( [.] <.> p1
& <.> <.> [.] ~ p1 ) )
| <.> ( [.] <.> p1
& <.> <.> [.] ~ p1 ) )
| <.> ( [.] <.> p1
& <.> <.> [.] ~ p1 ) )
| <.> ( [.] <.> p1
& <.> <.> [.] ~ p1 ) )
| <.> ( [.] <.> p1
& <.> <.> [.] ~ p1 ) )
| <.> ( [.] <.> p1
& <.> <.> [.] ~ p1 ) )
| <.> ( [.] <.> p1
& <.> <.> [.] ~ p1 ) )
| <.> ( [.] <.> p1
& <.> <.> [.] ~ p1 )
| <.> p4 ) ).
%------------------------------------------------------------------------------