%------------------------------------------------------------------------------
% File : SYO925_1.005 : TPTP v9.0.0. Released v9.0.0.
% Domain : Syntactic
% Problem : KSP problem s4_s5_n.0005
% Version : Especial.
% English :
% Refs : [BHS00] Balsiger et al. (2000), A Benchmark Method for the Pro
% : [NH+22] Nalon et al. (2022), Local Reductions for the Modal Cu
% : [Nal22] Nalon (2022), Email to Geoff Sutcliffe
% : [NH+23] Nalon et al. (2023), Buy One Get 14 Free: Evaluating L
% Source : [Nal22]
% Names : s4_s5_n.0005 [Nal22]
% Status : CounterSatisfiable
% Rating : 0.33 v9.0.0
% Syntax : Number of formulae : 28 ( 0 unt; 27 typ; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 100 ( 100 avg)
% Number of connectives : 203 ( 51 ~; 50 |; 48 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% ( 53 {.}; 0 {#})
% Maximal formula depth : 58 ( 58 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 : 27 ( 27 usr; 27 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
% Comments :
%------------------------------------------------------------------------------
tff('s4_s5_n.0005',logic,
$modal ==
[ $modalities == $modal_system_S4 ] ).
tff(false_decl,type,
false: $o ).
tff(p1_decl,type,
p1: $o ).
tff(p10_decl,type,
p10: $o ).
tff(p11_decl,type,
p11: $o ).
tff(p12_decl,type,
p12: $o ).
tff(p13_decl,type,
p13: $o ).
tff(p14_decl,type,
p14: $o ).
tff(p15_decl,type,
p15: $o ).
tff(p16_decl,type,
p16: $o ).
tff(p17_decl,type,
p17: $o ).
tff(p18_decl,type,
p18: $o ).
tff(p19_decl,type,
p19: $o ).
tff(p2_decl,type,
p2: $o ).
tff(p20_decl,type,
p20: $o ).
tff(p21_decl,type,
p21: $o ).
tff(p22_decl,type,
p22: $o ).
tff(p23_decl,type,
p23: $o ).
tff(p24_decl,type,
p24: $o ).
tff(p25_decl,type,
p25: $o ).
tff(p3_decl,type,
p3: $o ).
tff(p30_decl,type,
p30: $o ).
tff(p4_decl,type,
p4: $o ).
tff(p5_decl,type,
p5: $o ).
tff(p6_decl,type,
p6: $o ).
tff(p7_decl,type,
p7: $o ).
tff(p8_decl,type,
p8: $o ).
tff(p9_decl,type,
p9: $o ).
tff(prove,conjecture,
~ ~ ( [.] <.> ( [.] p30
| <.> ( ( p1
& ~ p2 )
| ( ~ p1
& p2 ) )
| [.] ( <.> ( ( p2
& ~ p3 )
| ( ~ p2
& p3 ) )
| [.] ( <.> ( ( p3
& ~ p4 )
| ( ~ p3
& p4 ) )
| [.] ( <.> ( ( p4
& ~ p5 )
| ( ~ p4
& p5 ) )
| [.] ( <.> ( ( p5
& ~ p6 )
| ( ~ p5
& p6 ) )
| [.] ( <.> ( ( p6
& ~ p7 )
| ( ~ p6
& p7 ) )
| [.] ( <.> ( ( p7
& ~ p8 )
| ( ~ p7
& p8 ) )
| [.] ( <.> ( ( p8
& ~ p9 )
| ( ~ p8
& p9 ) )
| [.] ( <.> ( ( p9
& ~ p10 )
| ( ~ p9
& p10 ) )
| [.] ( <.> ( ( p10
& ~ p11 )
| ( ~ p10
& p11 ) )
| [.] ( <.> ( ( p11
& ~ p12 )
| ( ~ p11
& p12 ) )
| [.] ( <.> ( ( p12
& ~ p13 )
| ( ~ p12
& p13 ) )
| [.] ( <.> ( ( p13
& ~ p14 )
| ( ~ p13
& p14 ) )
| [.] ( <.> ( ( p14
& ~ p15 )
| ( ~ p14
& p15 ) )
| [.] ( <.> ( ( p15
& ~ p16 )
| ( ~ p15
& p16 ) )
| [.] ( <.> ( ( p16
& ~ p17 )
| ( ~ p16
& p17 ) )
| [.] ( <.> ( ( p17
& ~ p18 )
| ( ~ p17
& p18 ) )
| [.] ( <.> ( ( p18
& ~ p19 )
| ( ~ p18
& p19 ) )
| [.] ( <.> ( ( p19
& ~ p20 )
| ( ~ p19
& p20 ) )
| [.] ( <.> ( ( p20
& ~ p21 )
| ( ~ p20
& p21 ) )
| [.] ( <.> ( ( p21
& ~ p22 )
| ( ~ p21
& p22 ) )
| [.] ( <.> ( ( p22
& ~ p23 )
| ( ~ p22
& p23 ) )
| [.] ( <.> ( ( p23
& ~ p24 )
| ( ~ p23
& p24 ) )
| [.] ( <.> ( ( p24
& ~ p25 )
| ( ~ p24
& p25 ) )
| [.] false ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| [.] ( <.> p1
=> ~ p30 ) ) ).
%------------------------------------------------------------------------------