TPTP Problem File: SYP070_1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SYP070_1 : TPTP v9.3.1. Released v9.3.0.
% Domain : Syntactic
% Problem : Logic KB, problem k_lin, 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_lin_n/10.p
% Status : CounterSatisfiable
% Rating : 0.00 v9.3.0
% Syntax : Number of formulae : 38 ( 0 unt; 37 typ; 0 def)
% Number of atoms : 529 ( 0 equ)
% Maximal formula atoms : 529 ( 529 avg)
% Number of connectives : 1092 ( 70 ~; 141 |; 140 &)
% ( 0 <=>; 247 =>; 0 <=; 0 <~>)
% ( 494 {.}; 0 {#})
% Maximal formula depth : 80 ( 80 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 : 37 ( 37 usr; 37 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_NDT
% Comments :
%------------------------------------------------------------------------------
tff(simple_k,logic,
$modal ==
[ $domains == $constant,
$designation == $rigid,
$terms == $local,
$modalities == $modal_system_KB ] ).
tff(p27_type,type,
p27: $o ).
tff(p12_type,type,
p12: $o ).
tff(p34_type,type,
p34: $o ).
tff(p18_type,type,
p18: $o ).
tff(p22_type,type,
p22: $o ).
tff(p11_type,type,
p11: $o ).
tff(p17_type,type,
p17: $o ).
tff(p9_type,type,
p9: $o ).
tff(p24_type,type,
p24: $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(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(p29_type,type,
p29: $o ).
tff(p15_type,type,
p15: $o ).
tff(p37_type,type,
p37: $o ).
tff(p26_type,type,
p26: $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(p1_type,type,
p1: $o ).
tff(p31_type,type,
p31: $o ).
tff(p30_type,type,
p30: $o ).
tff(p13_type,type,
p13: $o ).
tff(p6_type,type,
p6: $o ).
tff(p8_type,type,
p8: $o ).
tff(p35_type,type,
p35: $o ).
tff(10,conjecture,
( ~ ( [.] ( ( <.> p1
& [.] <.> p1 )
=> p2 )
| [.] ( ( p2
& [.] p2 )
=> <.> p1 ) )
| ~ ( [.] ( ( ( p1
=> [.] p2 )
& [.] ( p1
=> [.] p2 ) )
=> p2 )
| [.] ( ( p2
& [.] p2 )
=> ( p1
=> [.] p2 ) ) )
| ~ ( [.] ( ( <.> p2
& [.] <.> p2 )
=> p3 )
| [.] ( ( p3
& [.] p3 )
=> <.> p2 ) )
| ~ ( [.] ( ( ( p2
=> [.] p3 )
& [.] ( p2
=> [.] p3 ) )
=> p3 )
| [.] ( ( p3
& [.] p3 )
=> ( p2
=> [.] p3 ) ) )
| ~ ( [.] ( ( <.> p3
& [.] <.> p3 )
=> p4 )
| [.] ( ( p4
& [.] p4 )
=> <.> p3 ) )
| ~ ( [.] ( ( ( p3
=> [.] p4 )
& [.] ( p3
=> [.] p4 ) )
=> p4 )
| [.] ( ( p4
& [.] p4 )
=> ( p3
=> [.] p4 ) ) )
| ~ ( [.] ( ( <.> p4
& [.] <.> p4 )
=> p5 )
| [.] ( ( p5
& [.] p5 )
=> <.> p4 ) )
| ~ ( [.] ( ( ( p4
=> [.] p5 )
& [.] ( p4
=> [.] p5 ) )
=> p5 )
| [.] ( ( p5
& [.] p5 )
=> ( p4
=> [.] p5 ) ) )
| ~ ( [.] ( ( <.> p5
& [.] <.> p5 )
=> p6 )
| [.] ( ( p6
& [.] p6 )
=> <.> p5 ) )
| ~ ( [.] ( ( ( p5
=> [.] p6 )
& [.] ( p5
=> [.] p6 ) )
=> p6 )
| [.] ( ( p6
& [.] p6 )
=> ( p5
=> [.] p6 ) ) )
| ~ ( [.] ( ( <.> p6
& [.] <.> p6 )
=> p7 )
| [.] ( ( p7
& [.] p7 )
=> <.> p6 ) )
| ~ ( [.] ( ( ( p6
=> [.] p7 )
& [.] ( p6
=> [.] p7 ) )
=> p7 )
| [.] ( ( p7
& [.] p7 )
=> ( p6
=> [.] p7 ) ) )
| ~ ( [.] ( ( <.> p7
& [.] <.> p7 )
=> p8 )
| [.] ( ( p8
& [.] p8 )
=> <.> p7 ) )
| ~ ( [.] ( ( ( p7
=> [.] p8 )
& [.] ( p7
=> [.] p8 ) )
=> p8 )
| [.] ( ( p8
& [.] p8 )
=> ( p7
=> [.] p8 ) ) )
| ~ ( [.] ( ( <.> p8
& [.] <.> p8 )
=> p9 )
| [.] ( ( p9
& [.] p9 )
=> <.> p8 ) )
| ~ ( [.] ( ( ( p8
=> [.] p9 )
& [.] ( p8
=> [.] p9 ) )
=> p9 )
| [.] ( ( p9
& [.] p9 )
=> ( p8
=> [.] p9 ) ) )
| ~ ( [.] ( ( <.> p9
& [.] <.> p9 )
=> p10 )
| [.] ( ( p10
& [.] p10 )
=> <.> p9 ) )
| ~ ( [.] ( ( ( p9
=> [.] p10 )
& [.] ( p9
=> [.] p10 ) )
=> p10 )
| [.] ( ( p10
& [.] p10 )
=> ( p9
=> [.] p10 ) ) )
| ~ ( [.] ( ( <.> p10
& [.] <.> p10 )
=> p11 )
| [.] ( ( p11
& [.] p11 )
=> <.> p10 ) )
| ~ ( [.] ( ( ( p10
=> [.] p11 )
& [.] ( p10
=> [.] p11 ) )
=> p11 )
| [.] ( ( p11
& [.] p11 )
=> ( p10
=> [.] p11 ) ) )
| ~ ( [.] ( ( <.> p11
& [.] <.> p11 )
=> p12 )
| [.] ( ( p12
& [.] p12 )
=> <.> p11 ) )
| ~ ( [.] ( ( ( p11
=> [.] p12 )
& [.] ( p11
=> [.] p12 ) )
=> p12 )
| [.] ( ( p12
& [.] p12 )
=> ( p11
=> [.] p12 ) ) )
| ~ ( [.] ( ( <.> p12
& [.] <.> p12 )
=> p13 )
| [.] ( ( p13
& [.] p13 )
=> <.> p12 ) )
| ~ ( [.] ( ( ( p12
=> [.] p13 )
& [.] ( p12
=> [.] p13 ) )
=> p13 )
| [.] ( ( p13
& [.] p13 )
=> ( p12
=> [.] p13 ) ) )
| ~ ( [.] ( ( <.> p13
& [.] <.> p13 )
=> p14 )
| [.] ( ( p14
& [.] p14 )
=> <.> p13 ) )
| ~ ( [.] ( ( ( p13
=> [.] p14 )
& [.] ( p13
=> [.] p14 ) )
=> p14 )
| [.] ( ( p14
& [.] p14 )
=> ( p13
=> [.] p14 ) ) )
| ~ ( [.] ( ( <.> p14
& [.] <.> p14 )
=> p15 )
| [.] ( ( p15
& [.] p15 )
=> <.> p14 ) )
| ~ ( [.] ( ( ( p14
=> [.] p15 )
& [.] ( p14
=> [.] p15 ) )
=> p15 )
| [.] ( ( p15
& [.] p15 )
=> ( p14
=> [.] p15 ) ) )
| ~ ( [.] ( ( <.> p15
& [.] <.> p15 )
=> p16 )
| [.] ( ( p16
& [.] p16 )
=> <.> p15 ) )
| ~ ( [.] ( ( ( p15
=> [.] p16 )
& [.] ( p15
=> [.] p16 ) )
=> p16 )
| [.] ( ( p16
& [.] p16 )
=> ( p15
=> [.] p16 ) ) )
| ~ ( [.] ( ( <.> p16
& [.] <.> p16 )
=> p17 )
| [.] ( ( p17
& [.] p17 )
=> <.> p16 ) )
| ~ ( [.] ( ( ( p16
=> [.] p17 )
& [.] ( p16
=> [.] p17 ) )
=> p17 )
| [.] ( ( p17
& [.] p17 )
=> ( p16
=> [.] p17 ) ) )
| ~ ( [.] ( ( <.> p17
& [.] <.> p17 )
=> p18 )
| [.] ( ( p18
& [.] p18 )
=> <.> p17 ) )
| ~ ( [.] ( ( ( p17
=> [.] p18 )
& [.] ( p17
=> [.] p18 ) )
=> p18 )
| [.] ( ( p18
& [.] p18 )
=> ( p17
=> [.] p18 ) ) )
| ~ ( [.] ( ( <.> p18
& [.] <.> p18 )
=> p19 )
| [.] ( ( p19
& [.] p19 )
=> <.> p18 ) )
| ~ ( [.] ( ( ( p18
=> [.] p19 )
& [.] ( p18
=> [.] p19 ) )
=> p19 )
| [.] ( ( p19
& [.] p19 )
=> ( p18
=> [.] p19 ) ) )
| [.] ( [.] p10
=> p10 )
| [.] ( [.] p10
=> p10 )
| ~ ( [.] ( ( <.> p20
& [.] <.> p20 )
=> p21 )
| [.] ( ( p21
& [.] p21 )
=> <.> p20 ) )
| ~ ( [.] ( ( ( p20
=> [.] p21 )
& [.] ( p20
=> [.] p21 ) )
=> p21 )
| [.] ( ( p21
& [.] p21 )
=> ( p20
=> [.] p21 ) ) )
| ~ ( [.] ( ( <.> p21
& [.] <.> p21 )
=> p22 )
| [.] ( ( p22
& [.] p22 )
=> <.> p21 ) )
| ~ ( [.] ( ( ( p21
=> [.] p22 )
& [.] ( p21
=> [.] p22 ) )
=> p22 )
| [.] ( ( p22
& [.] p22 )
=> ( p21
=> [.] p22 ) ) )
| ~ ( [.] ( ( <.> p22
& [.] <.> p22 )
=> p23 )
| [.] ( ( p23
& [.] p23 )
=> <.> p22 ) )
| ~ ( [.] ( ( ( p22
=> [.] p23 )
& [.] ( p22
=> [.] p23 ) )
=> p23 )
| [.] ( ( p23
& [.] p23 )
=> ( p22
=> [.] p23 ) ) )
| ~ ( [.] ( ( <.> p23
& [.] <.> p23 )
=> p24 )
| [.] ( ( p24
& [.] p24 )
=> <.> p23 ) )
| ~ ( [.] ( ( ( p23
=> [.] p24 )
& [.] ( p23
=> [.] p24 ) )
=> p24 )
| [.] ( ( p24
& [.] p24 )
=> ( p23
=> [.] p24 ) ) )
| ~ ( [.] ( ( <.> p24
& [.] <.> p24 )
=> p25 )
| [.] ( ( p25
& [.] p25 )
=> <.> p24 ) )
| ~ ( [.] ( ( ( p24
=> [.] p25 )
& [.] ( p24
=> [.] p25 ) )
=> p25 )
| [.] ( ( p25
& [.] p25 )
=> ( p24
=> [.] p25 ) ) )
| ~ ( [.] ( ( <.> p25
& [.] <.> p25 )
=> p26 )
| [.] ( ( p26
& [.] p26 )
=> <.> p25 ) )
| ~ ( [.] ( ( ( p25
=> [.] p26 )
& [.] ( p25
=> [.] p26 ) )
=> p26 )
| [.] ( ( p26
& [.] p26 )
=> ( p25
=> [.] p26 ) ) )
| ~ ( [.] ( ( <.> p26
& [.] <.> p26 )
=> p27 )
| [.] ( ( p27
& [.] p27 )
=> <.> p26 ) )
| ~ ( [.] ( ( ( p26
=> [.] p27 )
& [.] ( p26
=> [.] p27 ) )
=> p27 )
| [.] ( ( p27
& [.] p27 )
=> ( p26
=> [.] p27 ) ) )
| ~ ( [.] ( ( <.> p27
& [.] <.> p27 )
=> p28 )
| [.] ( ( p28
& [.] p28 )
=> <.> p27 ) )
| ~ ( [.] ( ( ( p27
=> [.] p28 )
& [.] ( p27
=> [.] p28 ) )
=> p28 )
| [.] ( ( p28
& [.] p28 )
=> ( p27
=> [.] p28 ) ) )
| ~ ( [.] ( ( <.> p28
& [.] <.> p28 )
=> p29 )
| [.] ( ( p29
& [.] p29 )
=> <.> p28 ) )
| ~ ( [.] ( ( ( p28
=> [.] p29 )
& [.] ( p28
=> [.] p29 ) )
=> p29 )
| [.] ( ( p29
& [.] p29 )
=> ( p28
=> [.] p29 ) ) )
| ~ ( [.] ( ( <.> p29
& [.] <.> p29 )
=> p30 )
| [.] ( ( p30
& [.] p30 )
=> <.> p29 ) )
| ~ ( [.] ( ( ( p29
=> [.] p30 )
& [.] ( p29
=> [.] p30 ) )
=> p30 )
| [.] ( ( p30
& [.] p30 )
=> ( p29
=> [.] p30 ) ) )
| ~ ( [.] ( ( <.> p30
& [.] <.> p30 )
=> p31 )
| [.] ( ( p31
& [.] p31 )
=> <.> p30 ) )
| ~ ( [.] ( ( ( p30
=> [.] p31 )
& [.] ( p30
=> [.] p31 ) )
=> p31 )
| [.] ( ( p31
& [.] p31 )
=> ( p30
=> [.] p31 ) ) )
| ~ ( [.] ( ( <.> p31
& [.] <.> p31 )
=> p32 )
| [.] ( ( p32
& [.] p32 )
=> <.> p31 ) )
| ~ ( [.] ( ( ( p31
=> [.] p32 )
& [.] ( p31
=> [.] p32 ) )
=> p32 )
| [.] ( ( p32
& [.] p32 )
=> ( p31
=> [.] p32 ) ) )
| ~ ( [.] ( ( <.> p32
& [.] <.> p32 )
=> p33 )
| [.] ( ( p33
& [.] p33 )
=> <.> p32 ) )
| ~ ( [.] ( ( ( p32
=> [.] p33 )
& [.] ( p32
=> [.] p33 ) )
=> p33 )
| [.] ( ( p33
& [.] p33 )
=> ( p32
=> [.] p33 ) ) )
| ~ ( [.] ( ( <.> p33
& [.] <.> p33 )
=> p34 )
| [.] ( ( p34
& [.] p34 )
=> <.> p33 ) )
| ~ ( [.] ( ( ( p33
=> [.] p34 )
& [.] ( p33
=> [.] p34 ) )
=> p34 )
| [.] ( ( p34
& [.] p34 )
=> ( p33
=> [.] p34 ) ) )
| ~ ( [.] ( ( <.> p34
& [.] <.> p34 )
=> p35 )
| [.] ( ( p35
& [.] p35 )
=> <.> p34 ) )
| ~ ( [.] ( ( ( p34
=> [.] p35 )
& [.] ( p34
=> [.] p35 ) )
=> p35 )
| [.] ( ( p35
& [.] p35 )
=> ( p34
=> [.] p35 ) ) )
| ~ ( [.] ( ( <.> p35
& [.] <.> p35 )
=> p36 )
| [.] ( ( p36
& [.] p36 )
=> <.> p35 ) )
| ~ ( [.] ( ( ( p35
=> [.] p36 )
& [.] ( p35
=> [.] p36 ) )
=> p36 )
| [.] ( ( p36
& [.] p36 )
=> ( p35
=> [.] p36 ) ) )
| ~ ( [.] ( ( <.> p36
& [.] <.> p36 )
=> p37 )
| [.] ( ( p37
& [.] p37 )
=> <.> p36 ) )
| ~ ( [.] ( ( ( p36
=> [.] p37 )
& [.] ( p36
=> [.] p37 ) )
=> p37 )
| [.] ( ( p37
& [.] p37 )
=> ( p36
=> [.] p37 ) ) ) ) ).
%------------------------------------------------------------------------------