TPTP Problem File: SYP029_1.p
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- Solve Problem
%------------------------------------------------------------------------------
% File : SYP029_1 : TPTP v9.3.1. Released v9.3.0.
% Domain : Syntactic
% Problem : Logic K4, problem k_d4, 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 : K4/k_d4_p/10.p
% Status : Theorem
% Rating : 0.00 v9.3.0
% Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 110 ( 110 avg)
% Number of connectives : 674 ( 50 ~; 69 |; 40 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% ( 515 {.}; 0 {#})
% Maximal formula depth : 74 ( 74 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 : 2 ( 1 usr; 2 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_K4 ] ).
tff(p0_type,type,
p0: $o ).
tff(10,conjecture,
( [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( <.> ~ p0
| p0 )
| <.> [.] $false
| <.> ( [.] p0
& <.> <.> ~ p0 )
| <.> ( [.] <.> p0
& <.> <.> [.] ~ p0 )
| <.> ( p0
& <.> [.] ~ p0 )
| <.> ( ~ p0
& <.> [.] p0 )
| [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( <.> ~ p0
| p0 )
| <.> <.> [.] $false
| <.> <.> ( [.] p0
& <.> <.> ~ p0 )
| <.> <.> ( [.] <.> p0
& <.> <.> [.] ~ p0 )
| <.> <.> ( p0
& <.> [.] ~ p0 )
| <.> <.> ( ~ p0
& <.> [.] p0 )
| [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( <.> ~ p0
| p0 )
| <.> <.> <.> [.] $false
| <.> <.> <.> ( [.] p0
& <.> <.> ~ p0 )
| <.> <.> <.> ( [.] <.> p0
& <.> <.> [.] ~ p0 )
| <.> <.> <.> ( p0
& <.> [.] ~ p0 )
| <.> <.> <.> ( ~ p0
& <.> [.] p0 )
| [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( <.> ~ p0
| p0 )
| <.> <.> <.> <.> [.] $false
| <.> <.> <.> <.> ( [.] p0
& <.> <.> ~ p0 )
| <.> <.> <.> <.> ( [.] <.> p0
& <.> <.> [.] ~ p0 )
| <.> <.> <.> <.> ( p0
& <.> [.] ~ p0 )
| <.> <.> <.> <.> ( ~ p0
& <.> [.] p0 )
| [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( <.> ~ p0
| p0 )
| <.> <.> <.> <.> <.> [.] $false
| <.> <.> <.> <.> <.> ( [.] p0
& <.> <.> ~ p0 )
| <.> <.> <.> <.> <.> ( [.] <.> p0
& <.> <.> [.] ~ p0 )
| <.> <.> <.> <.> <.> ( p0
& <.> [.] ~ p0 )
| <.> <.> <.> <.> <.> ( ~ p0
& <.> [.] p0 )
| [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( <.> ~ p0
| p0 )
| <.> <.> <.> <.> <.> <.> [.] $false
| <.> <.> <.> <.> <.> <.> ( [.] p0
& <.> <.> ~ p0 )
| <.> <.> <.> <.> <.> <.> ( [.] <.> p0
& <.> <.> [.] ~ p0 )
| <.> <.> <.> <.> <.> <.> ( p0
& <.> [.] ~ p0 )
| <.> <.> <.> <.> <.> <.> ( ~ p0
& <.> [.] p0 )
| [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( <.> ~ p0
| p0 )
| <.> <.> <.> <.> <.> <.> <.> [.] $false
| <.> <.> <.> <.> <.> <.> <.> ( [.] p0
& <.> <.> ~ p0 )
| <.> <.> <.> <.> <.> <.> <.> ( [.] <.> p0
& <.> <.> [.] ~ p0 )
| <.> <.> <.> <.> <.> <.> <.> ( p0
& <.> [.] ~ p0 )
| <.> <.> <.> <.> <.> <.> <.> ( ~ p0
& <.> [.] p0 )
| [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( <.> ~ p0
| p0 )
| <.> <.> <.> <.> <.> <.> <.> <.> [.] $false
| <.> <.> <.> <.> <.> <.> <.> <.> ( [.] p0
& <.> <.> ~ p0 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( [.] <.> p0
& <.> <.> [.] ~ p0 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( p0
& <.> [.] ~ p0 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p0
& <.> [.] p0 )
| [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( <.> ~ p0
| p0 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> [.] $false
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( [.] p0
& <.> <.> ~ p0 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( [.] <.> p0
& <.> <.> [.] ~ p0 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p0
& <.> [.] ~ p0 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p0
& <.> [.] p0 )
| [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( <.> ~ p0
| p0 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> [.] $false
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( [.] p0
& <.> <.> ~ p0 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( [.] <.> p0
& <.> <.> [.] ~ p0 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p0
& <.> [.] ~ p0 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p0
& <.> [.] p0 ) ) ).
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