TPTP Problem File: SYP073_1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SYP073_1 : TPTP v9.3.1. Released v9.3.0.
% Domain : Syntactic
% Problem : Logic KB, problem kath_p, 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 : KB/k_path_p/10.p
% Status : Theorem
% Rating : 0.00 v9.3.0
% Syntax : Number of formulae : 7 ( 0 unt; 6 typ; 0 def)
% Number of atoms : 351 ( 0 equ)
% Maximal formula atoms : 351 ( 351 avg)
% Number of connectives : 1385 ( 145 ~; 209 |; 141 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% ( 890 {.}; 0 {#})
% Maximal formula depth : 221 ( 221 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 : 7 ( 6 usr; 7 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_KB ] ).
tff(p3_type,type,
p3: $o ).
tff(p2_type,type,
p2: $o ).
tff(p1_type,type,
p1: $o ).
tff(p6_type,type,
p6: $o ).
tff(p4_type,type,
p4: $o ).
tff(p5_type,type,
p5: $o ).
tff(10,conjecture,
( [.] p1
| [.] p2
| [.] p3
| [.] p5
| <.> ( ~ p1
& [.] p3 )
| <.> ( ~ p1
& [.] p5 )
| $false
| <.> ( ~ p2
& [.] p1 )
| $false
| <.> ( ~ p3
& [.] p3 )
| <.> ( ~ p3
& [.] p5 )
| $false
| $false
| $false
| <.> ( ~ p5
& [.] p3 )
| <.> ( ~ p5
& [.] p5 )
| $false
| $false
| $false
| <.> <.> ( ~ p1
& [.] p1 )
| <.> <.> ( ~ p1
& [.] p3 )
| <.> <.> ( ~ p1
& [.] p6 )
| <.> <.> ( ~ p1
& [.] p5 )
| $false
| $false
| <.> ( ~ p4
& [.] p2 )
| <.> ( ~ p6
& [.] p2 )
| <.> <.> ( ~ p3
& [.] p1 )
| <.> <.> ( ~ p3
& [.] p3 )
| <.> <.> ( ~ p3
& [.] p5 )
| $false
| $false
| <.> ( ~ p4
& [.] p4 )
| <.> ( ~ p6
& [.] p4 )
| <.> <.> ( ~ p5
& [.] p1 )
| <.> <.> ( ~ p5
& [.] p3 )
| <.> <.> ( ~ p5
& [.] p5 )
| $false
| $false
| <.> ( ~ p4
& [.] p6 )
| <.> ( ~ p6
& [.] p6 )
| <.> <.> <.> ( ~ p1
& [.] p1 )
| <.> <.> <.> ( ~ p1
& [.] p3 )
| $false
| $false
| <.> <.> ( ~ p2
& [.] p2 )
| <.> <.> ( ~ p4
& [.] p2 )
| <.> <.> ( ~ p6
& [.] p2 )
| <.> <.> <.> ( ~ p3
& [.] p1 )
| <.> <.> <.> ( ~ p3
& [.] p3 )
| $false
| $false
| <.> <.> ( ~ p2
& [.] p4 )
| <.> <.> ( ~ p4
& [.] p4 )
| <.> <.> ( ~ p6
& [.] p4 )
| <.> <.> <.> ( ~ p5
& [.] p1 )
| <.> <.> <.> ( ~ p5
& [.] p3 )
| $false
| <.> <.> <.> ( ~ p6
& [.] p5 )
| <.> <.> ( ~ p2
& [.] p6 )
| <.> <.> ( ~ p4
& [.] p6 )
| <.> <.> ( ~ p6
& [.] p6 )
| <.> <.> <.> <.> ( ~ p1
& [.] p1 )
| <.> <.> <.> <.> ( ~ p1
& [.] p3 )
| <.> <.> <.> <.> ( ~ p1
& [.] p5 )
| $false
| $false
| <.> <.> <.> ( ~ p2
& [.] p2 )
| <.> <.> <.> ( ~ p4
& [.] p2 )
| <.> <.> <.> <.> ( ~ p3
& [.] p1 )
| <.> <.> <.> <.> ( ~ p3
& [.] p3 )
| <.> <.> <.> <.> ( ~ p3
& [.] p5 )
| $false
| $false
| <.> <.> <.> ( ~ p2
& [.] p4 )
| <.> <.> <.> ( ~ p4
& [.] p4 )
| <.> <.> <.> <.> ( ~ p5
& [.] p1 )
| <.> <.> <.> <.> ( ~ p5
& [.] p3 )
| <.> <.> <.> <.> ( ~ p5
& [.] p4 )
| <.> <.> <.> <.> ( ~ p5
& [.] p5 )
| $false
| $false
| <.> <.> <.> ( ~ p2
& [.] p6 )
| <.> <.> <.> ( ~ p4
& [.] p6 )
| <.> <.> <.> <.> <.> ( ~ p1
& [.] p3 )
| <.> <.> <.> <.> <.> ( ~ p1
& [.] p5 )
| $false
| $false
| <.> <.> <.> <.> ( ~ p2
& [.] p2 )
| <.> <.> <.> <.> ( ~ p4
& [.] p2 )
| <.> <.> <.> <.> ( ~ p6
& [.] p2 )
| <.> <.> <.> <.> <.> ( ~ p3
& [.] p3 )
| <.> <.> <.> <.> <.> ( ~ p3
& [.] p5 )
| $false
| <.> <.> <.> <.> <.> ( ~ p4
& [.] p1 )
| <.> <.> <.> <.> ( ~ p2
& [.] p4 )
| <.> <.> <.> <.> ( ~ p4
& [.] p4 )
| <.> <.> <.> <.> ( ~ p6
& [.] p4 )
| <.> <.> <.> <.> <.> ( ~ p5
& [.] p3 )
| <.> <.> <.> <.> <.> ( ~ p5
& [.] p5 )
| $false
| $false
| <.> <.> <.> <.> ( ~ p2
& [.] p6 )
| <.> <.> <.> <.> ( ~ p4
& [.] p6 )
| <.> <.> <.> <.> ( ~ p6
& [.] p6 )
| <.> <.> <.> <.> <.> <.> ( ~ p1
& [.] p1 )
| <.> <.> <.> <.> <.> <.> ( ~ p1
& [.] p3 )
| <.> <.> <.> <.> <.> <.> ( ~ p1
& [.] p4 )
| <.> <.> <.> <.> <.> <.> ( ~ p1
& [.] p5 )
| $false
| $false
| <.> <.> <.> <.> <.> ( ~ p2
& [.] p2 )
| <.> <.> <.> <.> <.> ( ~ p6
& [.] p2 )
| <.> <.> <.> <.> <.> <.> ( ~ p3
& [.] p1 )
| <.> <.> <.> <.> <.> <.> ( ~ p3
& [.] p3 )
| <.> <.> <.> <.> <.> <.> ( ~ p3
& [.] p5 )
| $false
| $false
| <.> <.> <.> <.> <.> ( ~ p2
& [.] p4 )
| <.> <.> <.> <.> <.> ( ~ p6
& [.] p4 )
| <.> <.> <.> <.> <.> <.> ( ~ p5
& [.] p1 )
| <.> <.> <.> <.> <.> <.> ( ~ p5
& [.] p3 )
| <.> <.> <.> <.> <.> <.> ( ~ p5
& [.] p5 )
| $false
| $false
| <.> <.> <.> <.> <.> ( ~ p2
& [.] p6 )
| <.> <.> <.> <.> <.> ( ~ p6
& [.] p6 )
| <.> <.> <.> <.> <.> <.> <.> ( ~ p1
& [.] p3 )
| <.> <.> <.> <.> <.> <.> <.> ( ~ p1
& [.] p5 )
| $false
| $false
| <.> <.> <.> <.> <.> <.> ( ~ p2
& [.] p2 )
| <.> <.> <.> <.> <.> <.> ( ~ p4
& [.] p2 )
| <.> <.> <.> <.> <.> <.> ( ~ p6
& [.] p2 )
| <.> <.> <.> <.> <.> <.> <.> ( ~ p3
& [.] p3 )
| <.> <.> <.> <.> <.> <.> <.> ( ~ p3
& [.] p5 )
| $false
| <.> <.> <.> <.> <.> <.> <.> ( ~ p4
& [.] p1 )
| <.> <.> <.> <.> <.> <.> ( ~ p2
& [.] p4 )
| <.> <.> <.> <.> <.> <.> ( ~ p4
& [.] p4 )
| <.> <.> <.> <.> <.> <.> ( ~ p6
& [.] p4 )
| <.> <.> <.> <.> <.> <.> <.> ( ~ p5
& [.] p3 )
| <.> <.> <.> <.> <.> <.> <.> ( ~ p5
& [.] p5 )
| $false
| $false
| <.> <.> <.> <.> <.> <.> ( ~ p2
& [.] p6 )
| <.> <.> <.> <.> <.> <.> ( ~ p4
& [.] p6 )
| <.> <.> <.> <.> <.> <.> ( ~ p6
& [.] p6 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p1
& [.] p1 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p1
& [.] p3 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p1
& [.] p4 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p1
& [.] p5 )
| $false
| $false
| <.> <.> <.> <.> <.> <.> <.> ( ~ p2
& [.] p2 )
| <.> <.> <.> <.> <.> <.> <.> ( ~ p6
& [.] p2 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p3
& [.] p1 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p3
& [.] p3 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p3
& [.] p5 )
| $false
| $false
| <.> <.> <.> <.> <.> <.> <.> ( ~ p2
& [.] p4 )
| <.> <.> <.> <.> <.> <.> <.> ( ~ p6
& [.] p4 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p5
& [.] p1 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p5
& [.] p3 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p5
& [.] p5 )
| $false
| $false
| <.> <.> <.> <.> <.> <.> <.> ( ~ p2
& [.] p6 )
| <.> <.> <.> <.> <.> <.> <.> ( ~ p6
& [.] p6 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p1
& [.] p3 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p1
& [.] p5 )
| $false
| $false
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p2
& [.] p2 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p4
& [.] p2 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p6
& [.] p2 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p3
& [.] p3 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p3
& [.] p5 )
| $false
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p4
& [.] p1 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p2
& [.] p4 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p4
& [.] p4 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p6
& [.] p4 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p5
& [.] p3 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p5
& [.] p5 )
| $false
| $false
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p2
& [.] p6 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p4
& [.] p6 )
| <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p6
& [.] p6 )
| $false
| $false
| $false
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p2
& [.] p2 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p6
& [.] p2 )
| $false
| $false
| $false
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p2
& [.] p4 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p6
& [.] p4 )
| $false
| $false
| $false
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p2
& [.] p6 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( ~ p6
& [.] p6 )
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ~ p2
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ~ p4
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ~ p1
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ~ p6 ) ).
%------------------------------------------------------------------------------