%------------------------------------------------------------------------------
% File : SYP077_1 : TPTP v9.3.1. Released v9.3.0.
% Domain : Syntactic
% Problem : Logic KB, problem k_poly, 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_poly_p/10.p
% Status : Theorem
% Rating : 0.50 v9.3.0
% Syntax : Number of formulae : 50 ( 0 unt; 49 typ; 0 def)
% Number of atoms : 158 ( 0 equ)
% Maximal formula atoms : 158 ( 158 avg)
% Number of connectives : 811 ( 32 ~; 64 |; 62 &)
% ( 31 <=>; 0 =>; 0 <=; 0 <~>)
% ( 622 {.}; 0 {#})
% Maximal formula depth : 68 ( 68 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 : 50 ( 49 usr; 50 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(p27_type,type,
p27: $o ).
tff(p18_type,type,
p18: $o ).
tff(p26_type,type,
p26: $o ).
tff(p22_type,type,
p22: $o ).
tff(p48_type,type,
p48: $o ).
tff(p11_type,type,
p11: $o ).
tff(p56_type,type,
p56: $o ).
tff(p17_type,type,
p17: $o ).
tff(p24_type,type,
p24: $o ).
tff(p58_type,type,
p58: $o ).
tff(p46_type,type,
p46: $o ).
tff(p42_type,type,
p42: $o ).
tff(p38_type,type,
p38: $o ).
tff(p16_type,type,
p16: $o ).
tff(p20_type,type,
p20: $o ).
tff(p10_type,type,
p10: $o ).
tff(p19_type,type,
p19: $o ).
tff(p64_type,type,
p64: $o ).
tff(p12_type,type,
p12: $o ).
tff(p52_type,type,
p52: $o ).
tff(p4_type,type,
p4: $o ).
tff(p7_type,type,
p7: $o ).
tff(p5_type,type,
p5: $o ).
tff(p23_type,type,
p23: $o ).
tff(p32_type,type,
p32: $o ).
tff(p21_type,type,
p21: $o ).
tff(p62_type,type,
p62: $o ).
tff(p34_type,type,
p34: $o ).
tff(p29_type,type,
p29: $o ).
tff(p40_type,type,
p40: $o ).
tff(p15_type,type,
p15: $o ).
tff(p44_type,type,
p44: $o ).
tff(p3_type,type,
p3: $o ).
tff(p33_type,type,
p33: $o ).
tff(p2_type,type,
p2: $o ).
tff(p36_type,type,
p36: $o ).
tff(p25_type,type,
p25: $o ).
tff(p14_type,type,
p14: $o ).
tff(p28_type,type,
p28: $o ).
tff(p60_type,type,
p60: $o ).
tff(p9_type,type,
p9: $o ).
tff(p50_type,type,
p50: $o ).
tff(p1_type,type,
p1: $o ).
tff(p31_type,type,
p31: $o ).
tff(p13_type,type,
p13: $o ).
tff(p54_type,type,
p54: $o ).
tff(p30_type,type,
p30: $o ).
tff(p6_type,type,
p6: $o ).
tff(p8_type,type,
p8: $o ).
tff(10,conjecture,
( [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p1
& p2
& p3
& p4
& p5
& p6
& p7
& p8
& p9
& p10
& p11
& p12
& p13
& p14
& p15
& p16
& p17
& p18
& p19
& p20
& p21
& p22
& p23
& p24
& p25
& p26
& p27
& p28
& p29
& p30
& p31
& p32 )
| <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( <.> ( $false
| <.> ( p1
<=> p2 ) )
| [.] p3
| <.> <.> ( p2
<=> p3 ) )
| [.] p4
| <.> <.> <.> ( p3
<=> p4 ) )
| [.] p5
| <.> <.> <.> <.> ( p4
<=> p5 ) )
| [.] p6
| <.> <.> <.> <.> <.> ( p5
<=> p6 ) )
| [.] p7
| <.> <.> <.> <.> <.> <.> ( p6
<=> p7 ) )
| [.] p8
| <.> <.> <.> <.> <.> <.> <.> ( p7
<=> p8 ) )
| [.] p9
| <.> <.> <.> <.> <.> <.> <.> <.> ( p8
<=> p9 ) )
| [.] p10
| <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p9
<=> p10 ) )
| [.] p11
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p10
<=> p11 ) )
| [.] p12
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p11
<=> p12 ) )
| [.] p13
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p12
<=> p13 ) )
| [.] p14
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p13
<=> p14 ) )
| [.] p15
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p14
<=> p15 ) )
| [.] p16
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p15
<=> p16 ) )
| [.] p17
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p16
<=> p17 ) )
| [.] p18
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p17
<=> p18 ) )
| [.] p19
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p18
<=> p19 ) )
| [.] p20
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p19
<=> p20 ) )
| [.] p21
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p20
<=> p21 ) )
| [.] p22
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p21
<=> p22 ) )
| [.] p23
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p22
<=> p23 ) )
| [.] p24
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p23
<=> p24 ) )
| [.] p25
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p24
<=> p25 ) )
| [.] p26
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p25
<=> p26 ) )
| [.] p27
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p26
<=> p27 ) )
| [.] p28
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p27
<=> p28 ) )
| [.] p29
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p28
<=> p29 ) )
| [.] p30
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p29
<=> p30 ) )
| [.] p31
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p30
<=> p31 ) )
| [.] p32
| <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> <.> ( p31
<=> p1 ) )
| [.] p33
| [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( ~ p2
& ~ p4
& ~ p6
& ~ p8
& ~ p10
& ~ p12
& ~ p14
& ~ p16
& ~ p18
& ~ p20
& ~ p22
& ~ p24
& ~ p26
& ~ p28
& ~ p30
& ~ p32
& ~ p34
& ~ p36
& ~ p38
& ~ p40
& ~ p42
& ~ p44
& ~ p46
& ~ p48
& ~ p50
& ~ p52
& ~ p54
& ~ p56
& ~ p58
& ~ p60
& ~ p62
& ~ p64 ) ) ).
%------------------------------------------------------------------------------