Document 6ffc9680fbe00a58d70cdeb319f11205ed998131ce51bb96f16c7904faf74a3d
Base set
Let In : TpArr set TpArr set Prop := Prim 7
Let not : TpArr Prop Prop := Prim 3
Let TransSet : TpArr set Prop := Prim 13
Let and : TpArr Prop TpArr Prop Prop := Prim 4
Let Empty : set := Prim 9
Let linear_i : TpArr TpArr set TpArr set Prop Prop := Prim 31
Let SNo : TpArr set Prop := Prim 91
Let nat_p : TpArr set Prop := Prim 58
Let Inj0 : TpArr set set := Prim 65
Let Power : TpArr set set := Prim 11
Let binrep : TpArr set TpArr set set := Prim 71
Let atleast3 : TpArr set Prop := Prim 15
Let set_of_pairs : TpArr set Prop := Prim 80
Let atleast2 : TpArr set Prop := Prim 14
Let atleast5 : TpArr set Prop := Prim 17
Let exactly3 : TpArr set Prop := Prim 20
Let atleast6 : TpArr set Prop := Prim 18
Let exactly4 : TpArr set Prop := Prim 21
Let partialorder_i : TpArr TpArr set TpArr set Prop Prop := Prim 33
Let Repl : TpArr set TpArr TpArr set set set := Prim 12
Let proj1 : TpArr set set := Prim 70
Let exactly5 : TpArr set Prop := Prim 22
Let setsum_p : TpArr set Prop := Prim 75
Let Subq : TpArr set TpArr set Prop := Prim 8
Let ordinal : TpArr set Prop := Prim 62
Let binop_on : TpArr set TpArr TpArr set TpArr set set Prop := Prim 96
Let exactly2 : TpArr set Prop := Prim 19
Let SNoElts_ : TpArr set set := Prim 88
Let atleast4 : TpArr set Prop := Prim 16
Let V_ : TpArr set set := Prim 63
Let Unj : TpArr set set := Prim 66
Let PNo_upc : TpArr TpArr set TpArr TpArr set Prop Prop TpArr set TpArr TpArr set Prop Prop := Prim 87
Let per_i : TpArr TpArr set TpArr set Prop Prop := Prim 30
Let Sing : TpArr set set := Prim 43
Let PNoEq_ : TpArr set TpArr TpArr set Prop TpArr TpArr set Prop Prop := Prim 82
Let Inj1 : TpArr set set := Prim 64
Let tuple_p : TpArr set TpArr set Prop := Prim 76
Let reflexive_i : TpArr TpArr set TpArr set Prop Prop := Prim 24
Let SetAdjoin : TpArr set TpArr set set := Prim 45
Let binunion : TpArr set TpArr set set := Prim 44
Let Pi : TpArr set TpArr TpArr set set set := Prim 77
Let equip : TpArr set TpArr set Prop := Prim 54
Let atleastp : TpArr set TpArr set Prop := Prim 53
Let totalorder_i : TpArr TpArr set TpArr set Prop Prop := Prim 34
Let trichotomous_or_i : TpArr TpArr set TpArr set Prop Prop := Prim 32
Conj bountyprop : All X0 set All X1 set Imp Ap Ap In X1 X0 Imp All X2 set Imp Ap Ap In X2 X0 All X3 set Imp All X4 set Ap not Ap TransSet X2 Ex X4 set Ap Ap and Ap Ap In X4 Empty Imp Ap Ap and Ap not Ap linear_i Lam X5 set Lam X6 set Imp Imp Imp Ap not Ap SNo X5 Ap Ap and Ap not Ap nat_p Ap Inj0 Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Imp Ap not Ap linear_i Lam X7 set Lam X8 set Imp Imp Ap Ap and Ap atleast3 Empty Ap Ap and Ap Ap and Imp Imp Ap SNo X7 Ap set_of_pairs X2 Ap Ap and Ap atleast2 X8 Ap Ap and Ap atleast5 X2 Ap nat_p X8 Imp Ap exactly3 X5 Imp Ap Ap and Ap not Ap nat_p X2 Imp Ap nat_p X7 Imp Ap atleast6 X8 Ap not Ap nat_p X6 Ap Ap and Imp Ap TransSet X7 Ap exactly4 Empty Ap atleast5 X8 Ap Ap and Imp Ap atleast5 X8 Imp Ap partialorder_i Lam X9 set Lam X10 set Ap not Ap exactly3 Ap Ap Repl X10 Lam X11 set X11 Ap Ap and Ap Ap and Ap atleast5 X0 Imp Ap Ap In X8 X5 Ap Ap and Ap not Ap atleast5 X8 Imp Ap atleast3 Ap proj1 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap Ap and Ap Ap and Ap Ap and Ap exactly4 Empty Imp Ap not Ap TransSet X2 Imp Ap Ap and Imp Imp Ap exactly5 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap nat_p X8 Ap exactly4 X8 Ap nat_p X7 Ap not Ap setsum_p Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap Ap and Ap exactly4 X8 Ap Ap and Ap TransSet X5 Ap not Ap atleast5 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Ap Power Empty Ap Ap Subq X7 X4 Ap not Ap atleast3 X0 Ap not Ap exactly5 X7 Ap Ap and Imp Ap not Ap ordinal X7 Ap Ap binop_on Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Empty Lam X9 set Lam X10 set X5 Ap Ap and Ap Ap and Imp Ap not Ap exactly5 X8 Ap exactly2 X7 Imp Ap not Ap Ap In X7 Ap SNoElts_ X7 Ap atleast3 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Imp Imp Ap Ap In X3 X3 Ap not Ap atleast2 X7 Ap Ap and Ap atleast4 X8 Ap Ap and Imp Ap exactly2 X7 Ap not Ap exactly2 Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap Power Empty Ap atleast2 Empty Ap atleast5 Ap V_ Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Ap Power Empty Ap Ap In X6 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Ap Ap and Ap Ap and Ap Ap and Ap Ap and Imp Imp Ap atleast3 X5 Ap not Ap atleast4 Ap Unj X6 Imp Ap not Ap atleast2 X2 Ap Ap and Ap Ap and Ap not Ap setsum_p X5 Ap Ap and Ap Ap and Imp Ap not Ap atleast6 X5 Ap setsum_p X2 Ap exactly2 X6 Ap exactly4 X5 Ap Ap and Ap Ap and Ap exactly5 Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap Power Empty Ap Ap and Ap SNo X5 Ap atleast6 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Imp Ap not Ap exactly3 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap not Ap exactly5 X5 Ap exactly3 X0 Ap Ap and Ap Ap and Ap SNo Empty Ap Ap and Imp Ap not Ap set_of_pairs X6 Ap Ap and Ap Ap and Ap not Ap nat_p X5 Ap exactly5 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Empty Ap not Ap set_of_pairs X3 Ap not Ap atleast5 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Ap set_of_pairs X0 Imp Ap Ap and Ap set_of_pairs X5 Ap not Ap Ap Ap PNo_upc Lam X7 set Lam X8 TpArr set Prop Ap TransSet X4 X5 Lam X7 set Ap Ap and Imp Imp Ap atleast4 X0 Ap per_i Lam X8 set Lam X9 set Ap exactly4 X5 Ap not Ap atleast2 X5 Ap exactly3 X6 Ap not Ap atleast5 X6 Ap exactly5 X6 Ap not Ap exactly2 Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap not Ap setsum_p Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Empty Ap Ap In X3 X3 All X2 set Imp Ap Ap In X2 X1 Imp Ex X3 set Ap Ap and Ex X4 set Ap Ap and Ap Ap In X4 X2 Ap exactly2 X0 All X4 set Ap Ap and Ap not Ap Ap Subq Empty Ap Sing Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap not Ap exactly2 X3 Imp Imp Ex X3 set Ap Ap and Imp All X4 set Imp Ap Ap and Ap Ap and Ap Ap and Imp Imp Ap Ap and Ap atleast5 Empty Imp Imp Ap not Ap Ap Ap PNoEq_ X3 Lam X5 set Imp Ap not Ap exactly2 Empty Ap not Ap ordinal X3 Lam X5 set Imp Imp Imp Ap Ap and Ap Ap and Ap not Ap atleast3 X5 Ap not Ap nat_p X2 Ap Ap and Ap not Ap atleast5 X5 Ap Ap and Imp Imp Ap not Ap exactly5 X5 Ap not Ap atleast5 Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Ap Ap and Ap Ap and Ap Ap and Ap Ap and Ap Ap and Ap atleast3 X5 Imp Ap Ap and Imp Ap nat_p Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Empty Ap Ap and Ap not Ap exactly4 Ap Power Ap Power Ap Power Ap Power Ap Power Empty Ap atleast2 Ap Inj1 X1 Ap Ap and Ap not Ap atleast2 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap atleast5 X4 Imp Ap not Ap atleast6 X1 Ap exactly5 Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap Power Empty Imp Imp Ap exactly5 X1 Ap not Ap exactly4 Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap Power Empty Ap atleast3 X4 Ap ordinal X5 Ap not Ap nat_p X5 Ap SNo X4 Ap exactly3 X2 Ap not Ap nat_p X4 Imp Imp Imp Ap not Ap atleast6 X4 Ap not Ap Ap tuple_p X2 Empty Ap not Ap partialorder_i Lam X6 set Lam X7 set Ap Ap and Imp Ap Ap and Ap atleast3 X7 Ap Ap and Ap atleast3 Ap Power X2 Ap not Ap ordinal X1 Ap Ap and Ap Ap and Imp Ap exactly3 X4 Ap Ap and Ap exactly4 X6 Ap not Ap atleast6 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Empty Ap Ap and Ap atleast6 Empty Ap atleast5 Empty Ap not Ap reflexive_i Lam X8 set Lam X9 set Ap not Ap ordinal X8 Ap exactly3 X6 Eq set X1 X0 Ap not Ap atleast4 X2 Ap not Ap exactly4 X3 Ap not Ap Ap tuple_p X4 X4 Ap not Ap atleast3 Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Ap Ap and Ap atleast4 X4 Ap not Ap atleast6 Ap Ap SetAdjoin X3 X4 Ap TransSet X3 Ap not Ap exactly2 X3 Imp Ap exactly3 X2 Ap not Ap ordinal Ap Ap binunion Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty X4 Ap Ap and Imp Ap not Ap atleast2 X3 Ap not Ap atleast4 X4 Ap Ap and Imp Ap Ap and Ap ordinal X2 Ap Ap Subq Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Ap Power Empty X4 Imp Ap not Eq set X3 Empty Imp Ap not Ap nat_p X0 Ap Ap and Imp Ap exactly2 X2 Ap not Ap Ap In X4 Empty Ap atleast6 X2 Ap not Ap exactly4 X4 Ex X4 set Ap exactly2 Ap Ap Pi Empty Lam X5 set X4 Ap Ap and Ap Ap and Ex X4 set Ap Ap and Ap Ap and Imp Imp Ap atleast3 X4 Ap not Ap exactly3 X0 Imp Ap Ap and Ap Ap and Ap atleast2 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Ap Power Empty Ap Ap and Ap Ap tuple_p Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Empty X2 Ap not Ap Ap tuple_p X4 X4 Ap Ap and Ap Ap and Imp Ap atleast6 X2 Ap Ap and Imp Ap atleast2 X4 Ap Ap and Ap ordinal X4 Ap not Ap Ap equip X4 X0 Ap setsum_p X3 Ap atleast2 X3 Ap Ap In X3 X2 Ap not Ap setsum_p X4 Ap not Ap SNo X1 Imp Imp Ap not Ap exactly5 X2 Ap atleast3 X4 Ap Ap and Ap Ap and Ap exactly4 X4 Ap not Ap TransSet X3 Imp Ap Ap and Imp Ap Ap Ap PNoEq_ X4 Lam X5 set Imp Imp Ap exactly2 X3 Ap Ap and Ap Ap and Ap Ap and Ap not Ap atleast6 X5 Ap exactly4 X5 Ap Ap and Ap atleast3 Empty Ap Ap In X4 Ap SNoElts_ Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Ap atleast4 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Empty Ap Ap and Imp Imp Ap exactly4 X4 Ap Ap and Imp Ap Ap tuple_p X5 X0 Ap exactly2 X5 Ap not Ap exactly5 X4 Ap not Ap exactly5 X4 Imp Imp Ap exactly4 X0 Ap exactly5 X5 Ap Ap and Ap Ap and Imp Ap Ap and Imp Ap atleast4 Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Ap Power Empty Ap setsum_p Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap not Ap set_of_pairs Empty Ap not Ap set_of_pairs X4 Ap Ap and Ap exactly3 X4 Ap not Ap atleast2 X2 Ap exactly5 Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Lam X5 set Ap reflexive_i Lam X6 set Lam X7 set Ap not Ap Ap atleastp Ap Ap binrep Ap Ap binrep Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap Power Empty Empty Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Empty Imp Ap Ap and Ap Ap and Ap not Ap totalorder_i Lam X5 set Lam X6 set Imp Imp Ap not Ap atleast3 Empty Ap not Ap exactly4 Empty Ap exactly3 X6 Imp Ap atleast2 X2 Ap atleast4 Empty Ap not Ap exactly3 X4 Ap Ap and Ap not Ap atleast4 X3 Ap not Ap setsum_p X4 Ap TransSet Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap Power Ap Power Empty Ap atleast2 X4 Ex X4 set Ap Ap and Ap Ap Subq X4 X2 Ap not Ap set_of_pairs Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Ap TransSet X3 All X3 set Imp All X4 set Imp Ap Ap In X4 X2 Ap linear_i Lam X5 set Lam X6 set Ap not Ap TransSet X4 All X4 set Ap exactly3 Ap Ap binrep Ap Power Ap Ap binrep Ap Power Ap Power Empty Empty Empty All X3 set All X4 set Imp Ap Ap Subq X4 Ap Ap binrep Ap Ap binrep Ap Power Ap Power Ap Power Ap Power Empty Ap Power Empty Empty Ap not Ap trichotomous_or_i Lam X5 set Lam X6 set Ap exactly3 Empty
