%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWW542_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:10:46 AM UTC 2026
% Result : Theorem 256.49s 74.01s
% Output : Refutation 260.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 213
% Number of leaves : 141
% Syntax : Number of formulae : 1864 ( 208 unt; 0 typ; 16 def)
% Number of atoms : 36328 (1857 equ; 0 cnn)
% Maximal formula atoms : 71 ( 19 avg)
% Number of connectives : 78512 (2299 ~;2059 |; 145 &;73702 @)
% ( 27 <=>; 280 =>; 0 <=; 0 <~>)
% Maximal formula depth : 143 ( 28 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 56 ( 53 usr; 10 con; 0-5 aty)
% Number of variables : 32642 ( 31 ^;32568 !; 27 ?;32642 :)
% ( 0 !>; 0 ?*; 0 @-; 16 @+)
% Comments :
%------------------------------------------------------------------------------
thf(a1_type,type,
a1: $tType ).
thf(bool_type,type,
bool: $tType ).
thf(int_type,type,
int: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(zero_decl,type,
zero:
!>[TA: $tType] : $o ).
thf(ord_decl,type,
ord:
!>[TA: $tType] : $o ).
thf(semiring_1_decl,type,
semiring_1:
!>[TA: $tType] : $o ).
thf(linorder_decl,type,
linorder:
!>[TA: $tType] : $o ).
thf(preorder_decl,type,
preorder:
!>[TA: $tType] : $o ).
thf(semiring_char_0_decl,type,
semiring_char_0:
!>[TA: $tType] : $o ).
thf(linordered_semidom_decl,type,
linordered_semidom:
!>[TA: $tType] : $o ).
thf(zero_zero_decl,type,
zero_zero:
!>[TA: $tType] : TA ).
thf(huffma675207370phabet_decl,type,
huffma675207370phabet:
!>[TA: $tType] : ( ( TA @ huffma1450048681e_tree ) > ( bool @ ( TA @ fun ) ) ) ).
thf(huffma1518433673istent_decl,type,
huffma1518433673istent:
!>[TA: $tType] : ( ( TA @ huffma1450048681e_tree ) > $o ) ).
thf(huffma1134658180e_cost_decl,type,
huffma1134658180e_cost:
!>[TA: $tType] : ( ( TA @ huffma1450048681e_tree ) > nat ) ).
thf(huffma410068972_depth_decl,type,
huffma410068972_depth:
!>[TA: $tType] : ( ( TA @ huffma1450048681e_tree ) > TA > nat ) ).
thf(huffma1352802255e_freq_decl,type,
huffma1352802255e_freq:
!>[TA: $tType] : ( ( TA @ huffma1450048681e_tree ) > ( nat @ ( TA @ fun ) ) ) ).
thf(huffma945805758height_decl,type,
huffma945805758height:
!>[TA: $tType] : ( ( TA @ huffma1450048681e_tree ) > nat ) ).
thf(huffma1393970616ptimum_decl,type,
huffma1393970616ptimum:
!>[TA: $tType] : ( ( TA @ huffma1450048681e_tree ) > $o ) ).
thf(huffma1401021291ibling_decl,type,
huffma1401021291ibling:
!>[TA: $tType] : ( ( TA @ huffma1450048681e_tree ) > TA > TA ) ).
thf(huffma1146269203erNode_decl,type,
huffma1146269203erNode:
!>[TA: $tType] : ( nat > ( TA @ huffma1450048681e_tree ) > ( TA @ huffma1450048681e_tree ) > ( TA @ huffma1450048681e_tree ) ) ).
thf(huffma2021818691e_Leaf_decl,type,
huffma2021818691e_Leaf:
!>[TA: $tType] : ( nat > TA > ( TA @ huffma1450048681e_tree ) ) ).
thf(huffma107959123e_case_decl,type,
huffma107959123e_case:
!>[TA: $tType,TB: $tType] : ( ( TA @ ( TB @ fun ) @ ( nat @ fun ) ) > ( TA @ ( TB @ huffma1450048681e_tree @ fun ) @ ( TB @ huffma1450048681e_tree @ fun ) @ ( nat @ fun ) ) > ( TB @ huffma1450048681e_tree ) > TA ) ).
thf(huffma1280178957ee_rec_decl,type,
huffma1280178957ee_rec:
!>[TA: $tType,TB: $tType] : ( ( TA @ ( TB @ fun ) @ ( nat @ fun ) ) > ( TA @ ( TA @ fun ) @ ( TA @ fun ) @ ( TB @ huffma1450048681e_tree @ fun ) @ ( TB @ huffma1450048681e_tree @ fun ) @ ( nat @ fun ) ) > ( TB @ huffma1450048681e_tree ) > TA ) ).
thf(if_decl,type,
if:
!>[TA: $tType] : ( bool > TA > TA > TA ) ).
thf(semiring_1_of_nat_decl,type,
semiring_1_of_nat:
!>[TA: $tType] : ( nat > TA ) ).
thf(size_size_decl,type,
size_size:
!>[TA: $tType] : ( TA > nat ) ).
thf(ord_less_decl,type,
ord_less:
!>[TA: $tType] : ( TA > TA > $o ) ).
thf(ord_less_eq_decl,type,
ord_less_eq:
!>[TA: $tType] : ( TA > TA > $o ) ).
thf(aa_decl,type,
aa:
!>[TA: $tType,TB: $tType] : ( ( TA @ ( TB @ fun ) ) > TB > TA ) ).
thf(fFalse_decl,type,
fFalse: bool ).
thf(fTrue_decl,type,
fTrue: bool ).
thf(member_decl,type,
member:
!>[TA: $tType] : ( TA > ( bool @ ( TA @ fun ) ) > $o ) ).
thf(pp_decl,type,
pp: bool > $o ).
thf(a_decl,type,
a: a1 ).
thf(t_1_decl,type,
t_1: a1 @ huffma1450048681e_tree ).
thf(t_2_decl,type,
t_2: a1 @ huffma1450048681e_tree ).
thf(w_decl,type,
w: nat ).
thf(sk1_decl,type,
sk1: int > nat ).
thf(sk2_decl,type,
sk2: int > nat ).
thf(sk3_decl,type,
sk3: int > nat ).
thf(sk4_decl,type,
sk4: ( bool @ ( int @ fun ) ) > int ).
thf(sk5_decl,type,
sk5: ( bool @ ( int @ fun ) ) > nat ).
thf(sk6_decl,type,
sk6: ( bool @ ( nat @ fun ) ) > nat > nat ).
thf(sk7_decl,type,
sk7:
!>[TA: $tType,TB: $tType] : ( ( TA @ ( TB @ fun ) ) > ( TA @ ( TB @ fun ) ) > TB ) ).
thf(sk8_decl,type,
sk8: ( bool @ ( nat @ fun ) ) > nat > nat ).
thf(sk9_decl,type,
sk9:
!>[TA: $tType,TB: $tType] : ( ( TA @ ( TB @ fun ) ) > ( TA @ ( TB @ fun ) ) > TB ) ).
thf(sk10_decl,type,
sk10: nat > nat > ( bool @ ( nat @ fun ) @ ( nat @ fun ) ) > $o ).
thf(sk11_decl,type,
sk11: ( nat @ ( nat @ fun ) ) > nat > nat > nat ).
thf(sk12_decl,type,
sk12: ( nat @ ( nat @ fun ) ) > nat > nat > nat ).
thf(sk13_decl,type,
sk13: ( bool @ ( int @ fun ) ) > nat ).
thf(sk14_decl,type,
sk14: ( bool @ ( int @ fun ) ) > int ).
thf(sk15_decl,type,
sk15:
!>[TA: $tType] : ( ( TA @ huffma1450048681e_tree ) > TA ) ).
thf(sk16_decl,type,
sk16:
!>[TA: $tType] : ( ( TA @ huffma1450048681e_tree ) > ( TA @ huffma1450048681e_tree ) ) ).
thf(sk22_decl,type,
sk22:
!>[TA: $tType] : ( ( TA @ huffma1450048681e_tree ) > TA ) ).
thf(sk1_def,definition,
( sk1
= ( ^ [A: int] :
@+[B: nat] :
( A
= ( B @ ( int @ semiring_1_of_nat ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( ^ [A: int] :
@+[B: nat] :
( A
= ( B @ ( int @ semiring_1_of_nat ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( ^ [A: int] :
@+[B: nat] :
( ( A
= ( B @ ( int @ semiring_1_of_nat ) ) )
& ( B @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( ^ [A: bool @ ( int @ fun )] :
@+[B: int] :
~ ( ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
=> ( B @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( ^ [A: bool @ ( int @ fun )] :
@+[B: nat] :
~ ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( ^ [A: bool @ ( nat @ fun ),B: nat] :
@+[C: nat] :
( ( C @ ( A @ ( bool @ ( nat @ aa ) ) ) @ pp )
& ! [D: nat] :
( ( C @ ( D @ ( nat @ ord_less ) ) )
=> ~ ( D @ ( A @ ( bool @ ( nat @ aa ) ) ) @ pp ) )
& ( B @ ( C @ ( nat @ ord_less_eq ) ) ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( ^ [TA: $tType,TB: $tType,A: TA @ ( TB @ fun ),B: TA @ ( TB @ fun )] :
@+[C: TB] :
( ( C @ ( A @ ( TA @ ( TB @ aa ) ) ) )
!= ( C @ ( B @ ( TA @ ( TB @ aa ) ) ) ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( ^ [A: bool @ ( nat @ fun ),B: nat] :
@+[C: nat] :
~ ( ( C @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( ~ ( C @ ( A @ ( bool @ ( nat @ aa ) ) ) @ pp )
=> ? [D: nat] :
( ~ ( D @ ( A @ ( bool @ ( nat @ aa ) ) ) @ pp )
& ( C @ ( D @ ( nat @ ord_less ) ) ) ) ) ) ) ) ).
thf(sk9_def,definition,
( sk9
= ( ^ [TA: $tType,TB: $tType,A: TA @ ( TB @ fun ),B: TA @ ( TB @ fun )] :
@+[C: TB] :
~ ( C @ ( B @ ( TA @ ( TB @ aa ) ) ) @ ( C @ ( A @ ( TA @ ( TB @ aa ) ) ) @ ( TA @ ord_less_eq ) ) ) ) ) ).
thf(sk11_def,definition,
( sk11
= ( ^ [A: nat @ ( nat @ fun ),B: nat,C: nat] :
@+[D: nat] :
~ ! [E: nat] :
( ( E @ ( D @ ( nat @ ord_less ) ) )
=> ( E @ ( A @ ( nat @ ( nat @ aa ) ) ) @ ( D @ ( A @ ( nat @ ( nat @ aa ) ) ) @ ( nat @ ord_less ) ) ) ) ) ) ).
thf(sk12_def,definition,
( sk12
= ( ^ [A: nat @ ( nat @ fun ),B: nat,C: nat] :
@+[D: nat] :
~ ( ( D @ ( C @ ( B @ ( A @ sk11 ) ) @ ( nat @ ord_less ) ) )
=> ( D @ ( A @ ( nat @ ( nat @ aa ) ) ) @ ( C @ ( B @ ( A @ sk11 ) ) @ ( A @ ( nat @ ( nat @ aa ) ) ) @ ( nat @ ord_less ) ) ) ) ) ) ).
thf(sk13_def,definition,
( sk13
= ( ^ [A: bool @ ( int @ fun )] :
@+[B: nat] : ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ) ) ).
thf(sk14_def,definition,
( sk14
= ( ^ [A: bool @ ( int @ fun )] :
@+[B: int] :
( ( B @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
& ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) ) ) ) ).
thf(sk15_def,definition,
( sk15
= ( ^ [TA: $tType,A: TA @ huffma1450048681e_tree] :
@+[B: TA] :
( ( ( B @ ( A @ ( TA @ huffma410068972_depth ) ) )
= ( A @ ( TA @ huffma945805758height ) ) )
& ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) ) ) ) ) ).
thf(sk16_def,definition,
( sk16
= ( ^ [TA: $tType,A: TA @ huffma1450048681e_tree] :
@+[B: TA @ huffma1450048681e_tree] :
~ ( ( B @ ( TA @ huffma1518433673istent ) )
=> ( ( ( A @ ( TA @ huffma675207370phabet ) )
= ( B @ ( TA @ huffma675207370phabet ) ) )
=> ( ( ( A @ ( TA @ huffma1352802255e_freq ) )
= ( B @ ( TA @ huffma1352802255e_freq ) ) )
=> ( B @ ( TA @ huffma1134658180e_cost ) @ ( A @ ( TA @ huffma1134658180e_cost ) @ ( nat @ ord_less_eq ) ) ) ) ) ) ) ) ).
thf(sk22_def,definition,
( sk22
= ( ^ [TA: $tType,A: TA @ huffma1450048681e_tree] :
@+[B: TA] : ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) ) ) ) ).
thf(54,axiom,
nat @ preorder,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat_Onat___Orderings_Opreorder) ).
thf(313,plain,
nat @ preorder,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(65,axiom,
! [TA: $tType,TB: $tType] :
( ( TA @ preorder )
=> ( TA @ ( TB @ fun ) @ preorder ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_fun___Orderings_Opreorder) ).
thf(346,plain,
! [TA: $tType,TB: $tType] :
( ( TA @ preorder )
=> ( TA @ ( TB @ fun ) @ preorder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(347,plain,
! [TA: $tType,TB: $tType] :
( ( TB @ ( TA @ fun ) @ preorder )
| ~ ( TB @ preorder ) ),
inference(cnf,[status(esa)],[346]) ).
thf(20981,plain,
! [TA: $tType,TB: $tType] :
( ( ( nat @ preorder )
!= ( TB @ preorder ) )
| ( TB @ ( TA @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[313,347]) ).
thf(20982,plain,
! [TA: $tType,TB: $tType] :
( ( ( nat @ preorder )
!= ( TB @ preorder ) )
| ( TB @ ( TA @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[20981]) ).
thf(20983,plain,
! [TA: $tType] : ( nat @ ( TA @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[20982:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( nat ))]]) ).
thf(21026,plain,
! [TA: $tType,TB: $tType,TC: $tType] :
( ( ( nat @ ( TA @ fun ) @ preorder )
!= ( TC @ preorder ) )
| ( TC @ ( TB @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20983,347]) ).
thf(21027,plain,
! [TA: $tType,TB: $tType,TC: $tType] :
( ( ( nat @ ( TA @ fun ) @ preorder )
!= ( TC @ preorder ) )
| ( TC @ ( TB @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[21026]) ).
thf(21028,plain,
! [TA: $tType,TB: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[21027:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( nat @ ( TA @ fun ) ))]]) ).
thf(21081,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ preorder )
!= ( TD @ preorder ) )
| ( TD @ ( TC @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21028,347]) ).
thf(21082,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ preorder )
!= ( TD @ preorder ) )
| ( TD @ ( TC @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[21081]) ).
thf(21083,plain,
! [TA: $tType,TB: $tType,TC: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[21082:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) ))]]) ).
thf(21400,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ preorder )
!= ( TE @ preorder ) )
| ( TE @ ( TD @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21083,347]) ).
thf(21401,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ preorder )
!= ( TE @ preorder ) )
| ( TE @ ( TD @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[21400]) ).
thf(21402,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[21401:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) ))]]) ).
thf(21456,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ preorder )
!= ( TF @ preorder ) )
| ( TF @ ( TE @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21402,347]) ).
thf(21457,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ preorder )
!= ( TF @ preorder ) )
| ( TF @ ( TE @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[21456]) ).
thf(21458,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[21457:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) ))]]) ).
thf(22786,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ preorder )
!= ( TG @ preorder ) )
| ( TG @ ( TF @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21458,347]) ).
thf(22787,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ preorder )
!= ( TG @ preorder ) )
| ( TG @ ( TF @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[22786]) ).
thf(22788,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[22787:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) ))]]) ).
thf(23110,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ preorder )
!= ( TH @ preorder ) )
| ( TH @ ( TG @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22788,347]) ).
thf(23111,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ preorder )
!= ( TH @ preorder ) )
| ( TH @ ( TG @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[23110]) ).
thf(23112,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[23111:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) ))]]) ).
thf(24351,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ preorder )
!= ( TI @ preorder ) )
| ( TI @ ( TH @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23112,347]) ).
thf(24352,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ preorder )
!= ( TI @ preorder ) )
| ( TI @ ( TH @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[24351]) ).
thf(24353,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[24352:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) ))]]) ).
thf(24748,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ preorder )
!= ( TJ @ preorder ) )
| ( TJ @ ( TI @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24353,347]) ).
thf(24749,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ preorder )
!= ( TJ @ preorder ) )
| ( TJ @ ( TI @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[24748]) ).
thf(24750,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[24749:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) ))]]) ).
thf(25751,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ preorder )
!= ( TK @ preorder ) )
| ( TK @ ( TJ @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24750,347]) ).
thf(25752,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ preorder )
!= ( TK @ preorder ) )
| ( TK @ ( TJ @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[25751]) ).
thf(25753,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[25752:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) ))]]) ).
thf(25996,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ preorder )
!= ( TL @ preorder ) )
| ( TL @ ( TK @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25753,347]) ).
thf(25997,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ preorder )
!= ( TL @ preorder ) )
| ( TL @ ( TK @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[25996]) ).
thf(25998,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[25997:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) ))]]) ).
thf(27621,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ preorder )
!= ( TM @ preorder ) )
| ( TM @ ( TL @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25998,347]) ).
thf(27622,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ preorder )
!= ( TM @ preorder ) )
| ( TM @ ( TL @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[27621]) ).
thf(27623,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[27622:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) ))]]) ).
thf(33832,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ preorder )
!= ( TN @ preorder ) )
| ( TN @ ( TM @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27623,347]) ).
thf(33833,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ preorder )
!= ( TN @ preorder ) )
| ( TN @ ( TM @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[33832]) ).
thf(33834,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[33833:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) ))]]) ).
thf(37333,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ preorder )
!= ( TO @ preorder ) )
| ( TO @ ( TN @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33834,347]) ).
thf(37334,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ preorder )
!= ( TO @ preorder ) )
| ( TO @ ( TN @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[37333]) ).
thf(37335,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[37334:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) ))]]) ).
thf(38064,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ preorder )
!= ( TP @ preorder ) )
| ( TP @ ( TO @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37335,347]) ).
thf(38065,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ preorder )
!= ( TP @ preorder ) )
| ( TP @ ( TO @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[38064]) ).
thf(38066,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[38065:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) ))]]) ).
thf(38823,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ preorder )
!= ( TQ @ preorder ) )
| ( TQ @ ( TP @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38066,347]) ).
thf(38824,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ preorder )
!= ( TQ @ preorder ) )
| ( TQ @ ( TP @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[38823]) ).
thf(38825,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[38824:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) ))]]) ).
thf(39442,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ preorder )
!= ( TR @ preorder ) )
| ( TR @ ( TQ @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38825,347]) ).
thf(39443,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ preorder )
!= ( TR @ preorder ) )
| ( TR @ ( TQ @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[39442]) ).
thf(39444,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[39443:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) ))]]) ).
thf(40228,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ preorder )
!= ( TS @ preorder ) )
| ( TS @ ( TR @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39444,347]) ).
thf(40229,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ preorder )
!= ( TS @ preorder ) )
| ( TS @ ( TR @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[40228]) ).
thf(40230,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[40229:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) ))]]) ).
thf(40664,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ preorder )
!= ( TT @ preorder ) )
| ( TT @ ( TS @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40230,347]) ).
thf(40665,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ preorder )
!= ( TT @ preorder ) )
| ( TT @ ( TS @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[40664]) ).
thf(40666,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[40665:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) ))]]) ).
thf(40992,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ preorder )
!= ( TU @ preorder ) )
| ( TU @ ( TT @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40666,347]) ).
thf(40993,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ preorder )
!= ( TU @ preorder ) )
| ( TU @ ( TT @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[40992]) ).
thf(40994,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[40993:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) ))]]) ).
thf(41303,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ preorder )
!= ( TV @ preorder ) )
| ( TV @ ( TU @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40994,347]) ).
thf(41304,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ preorder )
!= ( TV @ preorder ) )
| ( TV @ ( TU @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[41303]) ).
thf(41305,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[41304:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) ))]]) ).
thf(41740,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ preorder )
!= ( TW @ preorder ) )
| ( TW @ ( TV @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41305,347]) ).
thf(41741,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ preorder )
!= ( TW @ preorder ) )
| ( TW @ ( TV @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[41740]) ).
thf(41742,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[41741:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) ))]]) ).
thf(59,axiom,
! [A: nat] :
( ( A
!= ( nat @ zero_zero ) )
=> ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_gr0I) ).
thf(328,plain,
! [A: nat] :
( ( A
!= ( nat @ zero_zero ) )
=> ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(329,plain,
! [A: nat] :
( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( A
= ( nat @ zero_zero ) ) ),
inference(cnf,[status(esa)],[328]) ).
thf(330,plain,
! [A: nat] :
( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( A
= ( nat @ zero_zero ) ) ),
inference(lifteq,[status(thm)],[329]) ).
thf(92,axiom,
nat @ semiring_char_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat_Onat___Nat_Osemiring__char__0) ).
thf(481,plain,
nat @ semiring_char_0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(22,axiom,
! [TA: $tType] :
( ( TA @ semiring_char_0 )
=> ! [A: nat,B: nat] :
( ( ( B @ ( TA @ semiring_1_of_nat ) )
= ( A @ ( TA @ semiring_1_of_nat ) ) )
<=> ( B = A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_of__nat__eq__iff) ).
thf(193,plain,
! [TA: $tType] :
( ( TA @ semiring_char_0 )
=> ! [A: nat,B: nat] :
( ( ( B = A )
=> ( ( B @ ( TA @ semiring_1_of_nat ) )
= ( A @ ( TA @ semiring_1_of_nat ) ) ) )
& ( ( ( B @ ( TA @ semiring_1_of_nat ) )
= ( A @ ( TA @ semiring_1_of_nat ) ) )
=> ( B = A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(194,plain,
! [TA: $tType,B: nat,A: nat] :
( ( ( ( B @ ( TA @ semiring_1_of_nat ) )
= ( A @ ( TA @ semiring_1_of_nat ) ) )
| ( B != A )
| ~ ( TA @ semiring_char_0 ) )
& ( ( B = A )
| ( ( B @ ( TA @ semiring_1_of_nat ) )
!= ( A @ ( TA @ semiring_1_of_nat ) ) )
| ~ ( TA @ semiring_char_0 ) ) ),
inference(cnf,[status(esa)],[193]) ).
thf(195,plain,
! [TA: $tType,B: nat,A: nat] :
( ( B = A )
| ( ( B @ ( TA @ semiring_1_of_nat ) )
!= ( A @ ( TA @ semiring_1_of_nat ) ) )
| ~ ( TA @ semiring_char_0 ) ),
inference(cnfConj,[status(thm)],[194]) ).
thf(197,plain,
! [TA: $tType,B: nat,A: nat] :
( ~ ( TA @ semiring_char_0 )
| ( B = A )
| ( ( B @ ( TA @ semiring_1_of_nat ) )
!= ( A @ ( TA @ semiring_1_of_nat ) ) ) ),
inference(lifteq,[status(thm)],[195]) ).
thf(1,conjecture,
( ( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
=> ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
= ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) ) ) )
& ( ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
=> ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(2,negated_conjecture,
~ ( ( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
=> ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
= ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) ) ) )
& ( ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
=> ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(127,plain,
~ ( ( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
=> ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
= ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) ) ) )
& ( ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
=> ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(128,plain,
( ( ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) ) )
& ( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) ) )
& ( ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
& ( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) ) ),
inference(cnf,[status(esa)],[127]) ).
thf(132,plain,
( ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) ) ),
inference(cnfConj,[status(thm)],[128]) ).
thf(135,plain,
( ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) ) ),
inference(lifteq,[status(thm)],[132]) ).
thf(637,plain,
( ( ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) ) ),
inference(eqfactor_ordered,[status(thm)],[135]) ).
thf(649,plain,
( ( a != a )
| ( t_2 != t_1 )
| ( a != a )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[637]) ).
thf(658,plain,
( ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[649]) ).
thf(1273,plain,
! [A: nat] :
( ( A != w )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(paramod_ordered,[status(thm)],[330,658]) ).
thf(1274,plain,
( ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(pattern_uni,[status(thm)],[1273:[bind(A,$thf( w ))]]) ).
thf(38,axiom,
! [A: nat] :
~ ( A @ ( A @ ( nat @ ord_less ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_less__not__refl) ).
thf(257,plain,
! [A: nat] :
~ ( A @ ( A @ ( nat @ ord_less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(258,plain,
~ ? [A: nat] : ( A @ ( A @ ( nat @ ord_less ) ) ),
inference(miniscope,[status(thm)],[257]) ).
thf(259,plain,
! [A: nat] :
~ ( A @ ( A @ ( nat @ ord_less ) ) ),
inference(cnf,[status(esa)],[258]) ).
thf(1323,plain,
! [A: nat] :
( ( ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( A @ ( A @ ( nat @ ord_less ) ) ) )
| ~ $true
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(paramod_ordered,[status(thm)],[1274,259]) ).
thf(1324,plain,
! [A: nat] :
( ( ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( A @ ( A @ ( nat @ ord_less ) ) ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[1323]) ).
thf(1344,plain,
! [A: nat] :
( ( w != A )
| ( ( nat @ zero_zero )
!= A )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[1324]) ).
thf(1345,plain,
( ( w
!= ( nat @ zero_zero ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[1344]) ).
thf(2808,plain,
! [TA: $tType,B: nat,A: nat] :
( ( B != w )
| ( A
!= ( nat @ zero_zero ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( TA @ semiring_char_0 )
| ( ( B @ ( TA @ semiring_1_of_nat ) )
!= ( A @ ( TA @ semiring_1_of_nat ) ) ) ),
inference(paramod_ordered,[status(thm)],[197,1345]) ).
thf(2809,plain,
! [TA: $tType,A: nat] :
( ( A
!= ( nat @ zero_zero ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( TA @ semiring_char_0 )
| ( ( w @ ( TA @ semiring_1_of_nat ) )
!= ( A @ ( TA @ semiring_1_of_nat ) ) ) ),
inference(pattern_uni,[status(thm)],[2808:[bind(A,$thf( A )),bind(B,$thf( w ))]]) ).
thf(3205,plain,
! [TA: $tType] :
( ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( TA @ semiring_char_0 )
| ( ( w @ ( TA @ semiring_1_of_nat ) )
!= ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) ) ) ),
inference(simp,[status(thm)],[2809]) ).
thf(5831,plain,
! [TA: $tType] :
( ( ( nat @ semiring_char_0 )
!= ( TA @ semiring_char_0 ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ $true
| ( ( w @ ( TA @ semiring_1_of_nat ) )
!= ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) ) ) ),
inference(paramod_ordered,[status(thm)],[481,3205]) ).
thf(5832,plain,
! [TA: $tType] :
( ( ( nat @ semiring_char_0 )
!= ( TA @ semiring_char_0 ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( w @ ( TA @ semiring_1_of_nat ) )
!= ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) ) ) ),
inference(simp,[status(thm)],[5831]) ).
thf(5833,plain,
( ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( w @ ( nat @ semiring_1_of_nat ) )
!= ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) ) ) ),
inference(pattern_uni,[status(thm)],[5832:[bind_type(TA,$thf( nat ))]]) ).
thf(31,axiom,
nat @ linordered_semidom,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat_Onat___Rings_Olinordered__semidom) ).
thf(240,plain,
nat @ linordered_semidom,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(46,axiom,
! [TA: $tType] :
( ( TA @ linordered_semidom )
=> ! [A: nat] :
( ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
<=> ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_of__nat__0__less__iff) ).
thf(288,plain,
! [TA: $tType] :
( ( TA @ linordered_semidom )
=> ! [A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) ) )
& ( ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
=> ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(289,plain,
! [TA: $tType,A: nat] :
( ( ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) )
& ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ) ),
inference(cnf,[status(esa)],[288]) ).
thf(290,plain,
! [TA: $tType,A: nat] :
( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(cnfConj,[status(thm)],[289]) ).
thf(55,axiom,
! [A: nat] :
~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_less__zeroE) ).
thf(314,plain,
! [A: nat] :
~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(315,plain,
~ ? [A: nat] : ( nat @ zero_zero @ ( A @ ( nat @ ord_less ) ) ),
inference(miniscope,[status(thm)],[314]) ).
thf(316,plain,
! [A: nat] :
~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less ) ) ),
inference(cnf,[status(esa)],[315]) ).
thf(11526,plain,
! [TA: $tType,B: nat,A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( nat @ zero_zero @ ( B @ ( nat @ ord_less ) ) ) )
| ~ $true
| ~ ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(paramod_ordered,[status(thm)],[290,316]) ).
thf(11527,plain,
! [TA: $tType,B: nat,A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( nat @ zero_zero @ ( B @ ( nat @ ord_less ) ) ) )
| ~ ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(simp,[status(thm)],[11526]) ).
thf(11528,plain,
! [TA: $tType] :
( ~ ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(pattern_uni,[status(thm)],[11527:[bind(A,$thf( nat @ zero_zero )),bind(B,$thf( nat @ zero_zero ))]]) ).
thf(11915,plain,
! [TA: $tType] :
( ( ( nat @ linordered_semidom )
!= ( TA @ linordered_semidom ) )
| ~ ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[240,11528]) ).
thf(11916,plain,
! [TA: $tType] :
( ( ( nat @ linordered_semidom )
!= ( TA @ linordered_semidom ) )
| ~ ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) ) ),
inference(simp,[status(thm)],[11915]) ).
thf(11917,plain,
~ ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ),
inference(pattern_uni,[status(thm)],[11916:[bind_type(TA,$thf( nat ))]]) ).
thf(12329,plain,
! [A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ~ $true
| ( A
= ( nat @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[330,11917]) ).
thf(12330,plain,
! [A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ( A
= ( nat @ zero_zero ) ) ),
inference(simp,[status(thm)],[12329]) ).
thf(12331,plain,
( ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) )
= ( nat @ zero_zero ) ),
inference(pattern_uni,[status(thm)],[12330:[bind(A,$thf( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) ))]]) ).
thf(12404,plain,
( ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( w @ ( nat @ semiring_1_of_nat ) )
!= ( nat @ zero_zero ) ) ),
inference(rewrite,[status(thm)],[5833,12331]) ).
thf(12568,plain,
! [A: nat] :
( ( A
!= ( w @ ( nat @ semiring_1_of_nat ) ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) )
| ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(paramod_ordered,[status(thm)],[330,12404]) ).
thf(12569,plain,
! [A: nat] :
( ( A
!= ( w @ ( nat @ semiring_1_of_nat ) ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(simp,[status(thm)],[12568]) ).
thf(12570,plain,
( ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( w @ ( nat @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(pattern_uni,[status(thm)],[12569:[bind(A,$thf( w @ ( nat @ semiring_1_of_nat ) ))]]) ).
thf(98,axiom,
bool @ preorder,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL_Obool___Orderings_Opreorder) ).
thf(502,plain,
bool @ preorder,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(20990,plain,
! [TA: $tType,TB: $tType] :
( ( ( bool @ preorder )
!= ( TB @ preorder ) )
| ( TB @ ( TA @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[502,347]) ).
thf(20991,plain,
! [TA: $tType,TB: $tType] :
( ( ( bool @ preorder )
!= ( TB @ preorder ) )
| ( TB @ ( TA @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[20990]) ).
thf(20992,plain,
! [TA: $tType] : ( bool @ ( TA @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[20991:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( bool ))]]) ).
thf(21040,plain,
! [TA: $tType,TB: $tType,TC: $tType] :
( ( ( bool @ ( TA @ fun ) @ preorder )
!= ( TC @ preorder ) )
| ( TC @ ( TB @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20992,347]) ).
thf(21041,plain,
! [TA: $tType,TB: $tType,TC: $tType] :
( ( ( bool @ ( TA @ fun ) @ preorder )
!= ( TC @ preorder ) )
| ( TC @ ( TB @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[21040]) ).
thf(21042,plain,
! [TA: $tType,TB: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[21041:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( bool @ ( TA @ fun ) ))]]) ).
thf(21137,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ preorder )
!= ( TD @ preorder ) )
| ( TD @ ( TC @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21042,347]) ).
thf(21138,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ preorder )
!= ( TD @ preorder ) )
| ( TD @ ( TC @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[21137]) ).
thf(21139,plain,
! [TA: $tType,TB: $tType,TC: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[21138:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) ))]]) ).
thf(21412,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ preorder )
!= ( TE @ preorder ) )
| ( TE @ ( TD @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21139,347]) ).
thf(21413,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ preorder )
!= ( TE @ preorder ) )
| ( TE @ ( TD @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[21412]) ).
thf(21414,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[21413:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) ))]]) ).
thf(21468,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ preorder )
!= ( TF @ preorder ) )
| ( TF @ ( TE @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21414,347]) ).
thf(21469,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ preorder )
!= ( TF @ preorder ) )
| ( TF @ ( TE @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[21468]) ).
thf(21470,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[21469:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) ))]]) ).
thf(22802,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ preorder )
!= ( TG @ preorder ) )
| ( TG @ ( TF @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21470,347]) ).
thf(22803,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ preorder )
!= ( TG @ preorder ) )
| ( TG @ ( TF @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[22802]) ).
thf(22804,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[22803:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) ))]]) ).
thf(24308,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ preorder )
!= ( TH @ preorder ) )
| ( TH @ ( TG @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22804,347]) ).
thf(24309,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ preorder )
!= ( TH @ preorder ) )
| ( TH @ ( TG @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[24308]) ).
thf(24310,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[24309:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) ))]]) ).
thf(24534,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ preorder )
!= ( TI @ preorder ) )
| ( TI @ ( TH @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24310,347]) ).
thf(24535,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ preorder )
!= ( TI @ preorder ) )
| ( TI @ ( TH @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[24534]) ).
thf(24536,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[24535:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) ))]]) ).
thf(24760,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ preorder )
!= ( TJ @ preorder ) )
| ( TJ @ ( TI @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24536,347]) ).
thf(24761,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ preorder )
!= ( TJ @ preorder ) )
| ( TJ @ ( TI @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[24760]) ).
thf(24762,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[24761:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) ))]]) ).
thf(25763,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ preorder )
!= ( TK @ preorder ) )
| ( TK @ ( TJ @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24762,347]) ).
thf(25764,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ preorder )
!= ( TK @ preorder ) )
| ( TK @ ( TJ @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[25763]) ).
thf(25765,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[25764:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) ))]]) ).
thf(26011,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ preorder )
!= ( TL @ preorder ) )
| ( TL @ ( TK @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25765,347]) ).
thf(26012,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ preorder )
!= ( TL @ preorder ) )
| ( TL @ ( TK @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[26011]) ).
thf(26013,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[26012:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) ))]]) ).
thf(33765,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ preorder )
!= ( TM @ preorder ) )
| ( TM @ ( TL @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26013,347]) ).
thf(33766,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ preorder )
!= ( TM @ preorder ) )
| ( TM @ ( TL @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[33765]) ).
thf(33767,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[33766:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) ))]]) ).
thf(33952,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ preorder )
!= ( TN @ preorder ) )
| ( TN @ ( TM @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33767,347]) ).
thf(33953,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ preorder )
!= ( TN @ preorder ) )
| ( TN @ ( TM @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[33952]) ).
thf(33954,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[33953:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) ))]]) ).
thf(37361,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ preorder )
!= ( TO @ preorder ) )
| ( TO @ ( TN @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33954,347]) ).
thf(37362,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ preorder )
!= ( TO @ preorder ) )
| ( TO @ ( TN @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[37361]) ).
thf(37363,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[37362:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) ))]]) ).
thf(38092,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ preorder )
!= ( TP @ preorder ) )
| ( TP @ ( TO @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37363,347]) ).
thf(38093,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ preorder )
!= ( TP @ preorder ) )
| ( TP @ ( TO @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[38092]) ).
thf(38094,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[38093:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) ))]]) ).
thf(38855,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ preorder )
!= ( TQ @ preorder ) )
| ( TQ @ ( TP @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38094,347]) ).
thf(38856,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ preorder )
!= ( TQ @ preorder ) )
| ( TQ @ ( TP @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[38855]) ).
thf(38857,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[38856:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) ))]]) ).
thf(40153,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ preorder )
!= ( TR @ preorder ) )
| ( TR @ ( TQ @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38857,347]) ).
thf(40154,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ preorder )
!= ( TR @ preorder ) )
| ( TR @ ( TQ @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[40153]) ).
thf(40155,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[40154:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) ))]]) ).
thf(40258,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ preorder )
!= ( TS @ preorder ) )
| ( TS @ ( TR @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40155,347]) ).
thf(40259,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ preorder )
!= ( TS @ preorder ) )
| ( TS @ ( TR @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[40258]) ).
thf(40260,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[40259:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) ))]]) ).
thf(40692,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ preorder )
!= ( TT @ preorder ) )
| ( TT @ ( TS @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40260,347]) ).
thf(40693,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ preorder )
!= ( TT @ preorder ) )
| ( TT @ ( TS @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[40692]) ).
thf(40694,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[40693:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) ))]]) ).
thf(41020,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ preorder )
!= ( TU @ preorder ) )
| ( TU @ ( TT @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40694,347]) ).
thf(41021,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ preorder )
!= ( TU @ preorder ) )
| ( TU @ ( TT @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[41020]) ).
thf(41022,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[41021:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) ))]]) ).
thf(41335,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ preorder )
!= ( TV @ preorder ) )
| ( TV @ ( TU @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41022,347]) ).
thf(41336,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ preorder )
!= ( TV @ preorder ) )
| ( TV @ ( TU @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[41335]) ).
thf(41337,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[41336:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) ))]]) ).
thf(41945,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ preorder )
!= ( TW @ preorder ) )
| ( TW @ ( TV @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41337,347]) ).
thf(41946,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ preorder )
!= ( TW @ preorder ) )
| ( TW @ ( TV @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[41945]) ).
thf(41947,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[41946:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) ))]]) ).
thf(42273,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ preorder )
!= ( TX @ preorder ) )
| ( TX @ ( TW @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41947,347]) ).
thf(42274,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ preorder )
!= ( TX @ preorder ) )
| ( TX @ ( TW @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[42273]) ).
thf(42275,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[42274:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) ))]]) ).
thf(42835,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ preorder )
!= ( TY @ preorder ) )
| ( TY @ ( TX @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42275,347]) ).
thf(42836,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ preorder )
!= ( TY @ preorder ) )
| ( TY @ ( TX @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[42835]) ).
thf(42837,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[42836:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) ))]]) ).
thf(44110,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ preorder )
!= ( TZ @ preorder ) )
| ( TZ @ ( TY @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42837,347]) ).
thf(44111,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ preorder )
!= ( TZ @ preorder ) )
| ( TZ @ ( TY @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[44110]) ).
thf(44112,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[44111:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) ))]]) ).
thf(45321,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ preorder )
!= ( TZA @ preorder ) )
| ( TZA @ ( TZ @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[44112,347]) ).
thf(45322,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ preorder )
!= ( TZA @ preorder ) )
| ( TZA @ ( TZ @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[45321]) ).
thf(45323,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[45322:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) ))]]) ).
thf(46379,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ preorder )
!= ( TZB @ preorder ) )
| ( TZB @ ( TZA @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[45323,347]) ).
thf(46380,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ preorder )
!= ( TZB @ preorder ) )
| ( TZB @ ( TZA @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[46379]) ).
thf(46381,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[46380:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) ))]]) ).
thf(47467,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ preorder )
!= ( TZC @ preorder ) )
| ( TZC @ ( TZB @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[46381,347]) ).
thf(47468,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ preorder )
!= ( TZC @ preorder ) )
| ( TZC @ ( TZB @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[47467]) ).
thf(47469,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[47468:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) ))]]) ).
thf(48482,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ preorder )
!= ( TZD @ preorder ) )
| ( TZD @ ( TZC @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[47469,347]) ).
thf(48483,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ preorder )
!= ( TZD @ preorder ) )
| ( TZD @ ( TZC @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[48482]) ).
thf(48484,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[48483:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) ))]]) ).
thf(49252,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ preorder )
!= ( TZE @ preorder ) )
| ( TZE @ ( TZD @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[48484,347]) ).
thf(49253,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ preorder )
!= ( TZE @ preorder ) )
| ( TZE @ ( TZD @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[49252]) ).
thf(49254,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[49253:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) ))]]) ).
thf(50238,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ preorder )
!= ( TZF @ preorder ) )
| ( TZF @ ( TZE @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[49254,347]) ).
thf(50239,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ preorder )
!= ( TZF @ preorder ) )
| ( TZF @ ( TZE @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[50238]) ).
thf(50240,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[50239:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) ))]]) ).
thf(51634,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ preorder )
!= ( TZG @ preorder ) )
| ( TZG @ ( TZF @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[50240,347]) ).
thf(51635,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ preorder )
!= ( TZG @ preorder ) )
| ( TZG @ ( TZF @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[51634]) ).
thf(51636,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[51635:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) ))]]) ).
thf(115,axiom,
! [TA: $tType,TB: $tType,A: TA @ huffma1450048681e_tree,B: TA @ huffma1450048681e_tree,C: nat,D: TB @ ( TA @ huffma1450048681e_tree @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( nat @ fun ),E: TB @ ( TA @ fun ) @ ( nat @ fun )] :
( ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( D @ ( E @ ( TB @ ( TA @ huffma107959123e_case ) ) ) ) )
= ( A @ ( B @ ( C @ ( D @ ( TB @ ( TA @ huffma1450048681e_tree @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( nat @ aa ) ) ) @ ( TB @ ( TA @ huffma1450048681e_tree @ fun ) @ ( TA @ huffma1450048681e_tree @ aa ) ) ) @ ( TB @ ( TA @ huffma1450048681e_tree @ aa ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_tree_Osimps_I6_J) ).
thf(553,plain,
! [TA: $tType,TB: $tType,A: TA @ huffma1450048681e_tree,B: TA @ huffma1450048681e_tree,C: nat,D: TB @ ( TA @ huffma1450048681e_tree @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( nat @ fun ),E: TB @ ( TA @ fun ) @ ( nat @ fun )] :
( ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( D @ ( E @ ( TB @ ( TA @ huffma107959123e_case ) ) ) ) )
= ( A @ ( B @ ( C @ ( D @ ( TB @ ( TA @ huffma1450048681e_tree @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( nat @ aa ) ) ) @ ( TB @ ( TA @ huffma1450048681e_tree @ fun ) @ ( TA @ huffma1450048681e_tree @ aa ) ) ) @ ( TB @ ( TA @ huffma1450048681e_tree @ aa ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(554,plain,
! [TA: $tType,TB: $tType,E: TA @ ( TB @ fun ) @ ( nat @ fun ),D: TA @ ( TB @ huffma1450048681e_tree @ fun ) @ ( TB @ huffma1450048681e_tree @ fun ) @ ( nat @ fun ),C: nat,B: TB @ huffma1450048681e_tree,A: TB @ huffma1450048681e_tree] :
( ( A @ ( B @ ( C @ ( TB @ huffma1146269203erNode ) ) ) @ ( D @ ( E @ ( TA @ ( TB @ huffma107959123e_case ) ) ) ) )
= ( A @ ( B @ ( C @ ( D @ ( TA @ ( TB @ huffma1450048681e_tree @ fun ) @ ( TB @ huffma1450048681e_tree @ fun ) @ ( nat @ aa ) ) ) @ ( TA @ ( TB @ huffma1450048681e_tree @ fun ) @ ( TB @ huffma1450048681e_tree @ aa ) ) ) @ ( TA @ ( TB @ huffma1450048681e_tree @ aa ) ) ) ) ),
inference(cnf,[status(esa)],[553]) ).
thf(555,plain,
! [TA: $tType,TB: $tType,E: TA @ ( TB @ fun ) @ ( nat @ fun ),D: TA @ ( TB @ huffma1450048681e_tree @ fun ) @ ( TB @ huffma1450048681e_tree @ fun ) @ ( nat @ fun ),C: nat,B: TB @ huffma1450048681e_tree,A: TB @ huffma1450048681e_tree] :
( ( A @ ( B @ ( C @ ( TB @ huffma1146269203erNode ) ) ) @ ( D @ ( E @ ( TA @ ( TB @ huffma107959123e_case ) ) ) ) )
= ( A @ ( B @ ( C @ ( D @ ( TA @ ( TB @ huffma1450048681e_tree @ fun ) @ ( TB @ huffma1450048681e_tree @ fun ) @ ( nat @ aa ) ) ) @ ( TA @ ( TB @ huffma1450048681e_tree @ fun ) @ ( TB @ huffma1450048681e_tree @ aa ) ) ) @ ( TA @ ( TB @ huffma1450048681e_tree @ aa ) ) ) ) ),
inference(lifteq,[status(thm)],[554]) ).
thf(49,axiom,
nat @ ord,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat_Onat___Orderings_Oord) ).
thf(294,plain,
nat @ ord,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(50,axiom,
! [TA: $tType,TB: $tType] :
( ( TA @ ord )
=> ( TA @ ( TB @ fun ) @ ord ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_fun___Orderings_Oord) ).
thf(295,plain,
! [TA: $tType,TB: $tType] :
( ( TA @ ord )
=> ( TA @ ( TB @ fun ) @ ord ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(296,plain,
! [TA: $tType,TB: $tType] :
( ( TB @ ( TA @ fun ) @ ord )
| ~ ( TB @ ord ) ),
inference(cnf,[status(esa)],[295]) ).
thf(12522,plain,
! [TA: $tType,TB: $tType] :
( ( ( nat @ ord )
!= ( TB @ ord ) )
| ( TB @ ( TA @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[294,296]) ).
thf(12523,plain,
! [TA: $tType,TB: $tType] :
( ( ( nat @ ord )
!= ( TB @ ord ) )
| ( TB @ ( TA @ fun ) @ ord ) ),
inference(simp,[status(thm)],[12522]) ).
thf(12524,plain,
! [TA: $tType] : ( nat @ ( TA @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[12523:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( nat ))]]) ).
thf(12531,plain,
! [TA: $tType,TB: $tType,TC: $tType] :
( ( ( nat @ ( TA @ fun ) @ ord )
!= ( TC @ ord ) )
| ( TC @ ( TB @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12524,296]) ).
thf(12532,plain,
! [TA: $tType,TB: $tType,TC: $tType] :
( ( ( nat @ ( TA @ fun ) @ ord )
!= ( TC @ ord ) )
| ( TC @ ( TB @ fun ) @ ord ) ),
inference(simp,[status(thm)],[12531]) ).
thf(12533,plain,
! [TA: $tType,TB: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[12532:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( nat @ ( TA @ fun ) ))]]) ).
thf(12820,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ord )
!= ( TD @ ord ) )
| ( TD @ ( TC @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12533,296]) ).
thf(12821,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ord )
!= ( TD @ ord ) )
| ( TD @ ( TC @ fun ) @ ord ) ),
inference(simp,[status(thm)],[12820]) ).
thf(12822,plain,
! [TA: $tType,TB: $tType,TC: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[12821:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) ))]]) ).
thf(12829,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ord )
!= ( TE @ ord ) )
| ( TE @ ( TD @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12822,296]) ).
thf(12830,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ord )
!= ( TE @ ord ) )
| ( TE @ ( TD @ fun ) @ ord ) ),
inference(simp,[status(thm)],[12829]) ).
thf(12831,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[12830:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) ))]]) ).
thf(13301,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ord )
!= ( TF @ ord ) )
| ( TF @ ( TE @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12831,296]) ).
thf(13302,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ord )
!= ( TF @ ord ) )
| ( TF @ ( TE @ fun ) @ ord ) ),
inference(simp,[status(thm)],[13301]) ).
thf(13303,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[13302:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) ))]]) ).
thf(13438,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ord )
!= ( TG @ ord ) )
| ( TG @ ( TF @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13303,296]) ).
thf(13439,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ord )
!= ( TG @ ord ) )
| ( TG @ ( TF @ fun ) @ ord ) ),
inference(simp,[status(thm)],[13438]) ).
thf(13440,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[13439:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) ))]]) ).
thf(13784,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ord )
!= ( TH @ ord ) )
| ( TH @ ( TG @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13440,296]) ).
thf(13785,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ord )
!= ( TH @ ord ) )
| ( TH @ ( TG @ fun ) @ ord ) ),
inference(simp,[status(thm)],[13784]) ).
thf(13786,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[13785:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) ))]]) ).
thf(14005,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ord )
!= ( TI @ ord ) )
| ( TI @ ( TH @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13786,296]) ).
thf(14006,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ord )
!= ( TI @ ord ) )
| ( TI @ ( TH @ fun ) @ ord ) ),
inference(simp,[status(thm)],[14005]) ).
thf(14007,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[14006:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) ))]]) ).
thf(14014,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ord )
!= ( TJ @ ord ) )
| ( TJ @ ( TI @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14007,296]) ).
thf(14015,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ord )
!= ( TJ @ ord ) )
| ( TJ @ ( TI @ fun ) @ ord ) ),
inference(simp,[status(thm)],[14014]) ).
thf(14016,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[14015:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) ))]]) ).
thf(14965,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ord )
!= ( TK @ ord ) )
| ( TK @ ( TJ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14016,296]) ).
thf(14966,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ord )
!= ( TK @ ord ) )
| ( TK @ ( TJ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[14965]) ).
thf(14967,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[14966:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) ))]]) ).
thf(14977,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ord )
!= ( TL @ ord ) )
| ( TL @ ( TK @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14967,296]) ).
thf(14978,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ord )
!= ( TL @ ord ) )
| ( TL @ ( TK @ fun ) @ ord ) ),
inference(simp,[status(thm)],[14977]) ).
thf(14979,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[14978:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) ))]]) ).
thf(15291,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ord )
!= ( TM @ ord ) )
| ( TM @ ( TL @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14979,296]) ).
thf(15292,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ord )
!= ( TM @ ord ) )
| ( TM @ ( TL @ fun ) @ ord ) ),
inference(simp,[status(thm)],[15291]) ).
thf(15293,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[15292:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) ))]]) ).
thf(15740,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ord )
!= ( TN @ ord ) )
| ( TN @ ( TM @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15293,296]) ).
thf(15741,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ord )
!= ( TN @ ord ) )
| ( TN @ ( TM @ fun ) @ ord ) ),
inference(simp,[status(thm)],[15740]) ).
thf(15742,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[15741:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) ))]]) ).
thf(15749,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ord )
!= ( TO @ ord ) )
| ( TO @ ( TN @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15742,296]) ).
thf(15750,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ord )
!= ( TO @ ord ) )
| ( TO @ ( TN @ fun ) @ ord ) ),
inference(simp,[status(thm)],[15749]) ).
thf(15751,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[15750:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) ))]]) ).
thf(15985,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ord )
!= ( TP @ ord ) )
| ( TP @ ( TO @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15751,296]) ).
thf(15986,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ord )
!= ( TP @ ord ) )
| ( TP @ ( TO @ fun ) @ ord ) ),
inference(simp,[status(thm)],[15985]) ).
thf(15987,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[15986:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) ))]]) ).
thf(15997,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ord )
!= ( TQ @ ord ) )
| ( TQ @ ( TP @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15987,296]) ).
thf(15998,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ord )
!= ( TQ @ ord ) )
| ( TQ @ ( TP @ fun ) @ ord ) ),
inference(simp,[status(thm)],[15997]) ).
thf(15999,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[15998:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) ))]]) ).
thf(16147,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ord )
!= ( TR @ ord ) )
| ( TR @ ( TQ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15999,296]) ).
thf(16148,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ord )
!= ( TR @ ord ) )
| ( TR @ ( TQ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[16147]) ).
thf(16149,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[16148:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) ))]]) ).
thf(16435,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ord )
!= ( TS @ ord ) )
| ( TS @ ( TR @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16149,296]) ).
thf(16436,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ord )
!= ( TS @ ord ) )
| ( TS @ ( TR @ fun ) @ ord ) ),
inference(simp,[status(thm)],[16435]) ).
thf(16437,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[16436:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) ))]]) ).
thf(16444,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ord )
!= ( TT @ ord ) )
| ( TT @ ( TS @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16437,296]) ).
thf(16445,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ord )
!= ( TT @ ord ) )
| ( TT @ ( TS @ fun ) @ ord ) ),
inference(simp,[status(thm)],[16444]) ).
thf(16446,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[16445:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) ))]]) ).
thf(17925,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ord )
!= ( TU @ ord ) )
| ( TU @ ( TT @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16446,296]) ).
thf(17926,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ord )
!= ( TU @ ord ) )
| ( TU @ ( TT @ fun ) @ ord ) ),
inference(simp,[status(thm)],[17925]) ).
thf(17927,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[17926:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) ))]]) ).
thf(17938,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ord )
!= ( TV @ ord ) )
| ( TV @ ( TU @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17927,296]) ).
thf(17939,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ord )
!= ( TV @ ord ) )
| ( TV @ ( TU @ fun ) @ ord ) ),
inference(simp,[status(thm)],[17938]) ).
thf(17940,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[17939:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) ))]]) ).
thf(18518,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ord )
!= ( TW @ ord ) )
| ( TW @ ( TV @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17940,296]) ).
thf(18519,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ord )
!= ( TW @ ord ) )
| ( TW @ ( TV @ fun ) @ ord ) ),
inference(simp,[status(thm)],[18518]) ).
thf(18520,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[18519:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) ))]]) ).
thf(19111,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ord )
!= ( TX @ ord ) )
| ( TX @ ( TW @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18520,296]) ).
thf(19112,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ord )
!= ( TX @ ord ) )
| ( TX @ ( TW @ fun ) @ ord ) ),
inference(simp,[status(thm)],[19111]) ).
thf(19113,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[19112:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) ))]]) ).
thf(19144,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ord )
!= ( TY @ ord ) )
| ( TY @ ( TX @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19113,296]) ).
thf(19145,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ord )
!= ( TY @ ord ) )
| ( TY @ ( TX @ fun ) @ ord ) ),
inference(simp,[status(thm)],[19144]) ).
thf(19146,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[19145:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) ))]]) ).
thf(19352,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ord )
!= ( TZ @ ord ) )
| ( TZ @ ( TY @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19146,296]) ).
thf(19353,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ord )
!= ( TZ @ ord ) )
| ( TZ @ ( TY @ fun ) @ ord ) ),
inference(simp,[status(thm)],[19352]) ).
thf(19354,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[19353:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) ))]]) ).
thf(19389,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ord )
!= ( TZA @ ord ) )
| ( TZA @ ( TZ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19354,296]) ).
thf(19390,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ord )
!= ( TZA @ ord ) )
| ( TZA @ ( TZ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[19389]) ).
thf(19391,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[19390:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) ))]]) ).
thf(20788,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ord )
!= ( TZB @ ord ) )
| ( TZB @ ( TZA @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19391,296]) ).
thf(20789,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ord )
!= ( TZB @ ord ) )
| ( TZB @ ( TZA @ fun ) @ ord ) ),
inference(simp,[status(thm)],[20788]) ).
thf(20790,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[20789:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) ))]]) ).
thf(20999,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ord )
!= ( TZC @ ord ) )
| ( TZC @ ( TZB @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20790,296]) ).
thf(21000,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ord )
!= ( TZC @ ord ) )
| ( TZC @ ( TZB @ fun ) @ ord ) ),
inference(simp,[status(thm)],[20999]) ).
thf(21001,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[21000:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) ))]]) ).
thf(21052,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ord )
!= ( TZD @ ord ) )
| ( TZD @ ( TZC @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21001,296]) ).
thf(21053,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ord )
!= ( TZD @ ord ) )
| ( TZD @ ( TZC @ fun ) @ ord ) ),
inference(simp,[status(thm)],[21052]) ).
thf(21054,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[21053:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) ))]]) ).
thf(21149,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ord )
!= ( TZE @ ord ) )
| ( TZE @ ( TZD @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21054,296]) ).
thf(21150,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ord )
!= ( TZE @ ord ) )
| ( TZE @ ( TZD @ fun ) @ ord ) ),
inference(simp,[status(thm)],[21149]) ).
thf(21151,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[21150:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) ))]]) ).
thf(21424,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ord )
!= ( TZF @ ord ) )
| ( TZF @ ( TZE @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21151,296]) ).
thf(21425,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ord )
!= ( TZF @ ord ) )
| ( TZF @ ( TZE @ fun ) @ ord ) ),
inference(simp,[status(thm)],[21424]) ).
thf(21426,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[21425:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) ))]]) ).
thf(21483,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ord )
!= ( TZG @ ord ) )
| ( TZG @ ( TZF @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21426,296]) ).
thf(21484,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ord )
!= ( TZG @ ord ) )
| ( TZG @ ( TZF @ fun ) @ ord ) ),
inference(simp,[status(thm)],[21483]) ).
thf(21485,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[21484:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) ))]]) ).
thf(23083,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ord )
!= ( TZH @ ord ) )
| ( TZH @ ( TZG @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21485,296]) ).
thf(23084,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ord )
!= ( TZH @ ord ) )
| ( TZH @ ( TZG @ fun ) @ ord ) ),
inference(simp,[status(thm)],[23083]) ).
thf(23085,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[23084:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) ))]]) ).
thf(24320,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ord )
!= ( TZI @ ord ) )
| ( TZI @ ( TZH @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23085,296]) ).
thf(24321,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ord )
!= ( TZI @ ord ) )
| ( TZI @ ( TZH @ fun ) @ ord ) ),
inference(simp,[status(thm)],[24320]) ).
thf(24322,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[24321:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) ))]]) ).
thf(24546,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ord )
!= ( TZJ @ ord ) )
| ( TZJ @ ( TZI @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24322,296]) ).
thf(24547,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ord )
!= ( TZJ @ ord ) )
| ( TZJ @ ( TZI @ fun ) @ ord ) ),
inference(simp,[status(thm)],[24546]) ).
thf(24548,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[24547:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) ))]]) ).
thf(24772,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ord )
!= ( TZK @ ord ) )
| ( TZK @ ( TZJ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24548,296]) ).
thf(24773,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ord )
!= ( TZK @ ord ) )
| ( TZK @ ( TZJ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[24772]) ).
thf(24774,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[24773:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) ))]]) ).
thf(25779,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ord )
!= ( TZL @ ord ) )
| ( TZL @ ( TZK @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24774,296]) ).
thf(25780,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ord )
!= ( TZL @ ord ) )
| ( TZL @ ( TZK @ fun ) @ ord ) ),
inference(simp,[status(thm)],[25779]) ).
thf(25781,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[25780:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) ))]]) ).
thf(27594,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ord )
!= ( TZM @ ord ) )
| ( TZM @ ( TZL @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25781,296]) ).
thf(27595,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ord )
!= ( TZM @ ord ) )
| ( TZM @ ( TZL @ fun ) @ ord ) ),
inference(simp,[status(thm)],[27594]) ).
thf(27596,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[27595:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) ))]]) ).
thf(33783,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ord )
!= ( TZN @ ord ) )
| ( TZN @ ( TZM @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27596,296]) ).
thf(33784,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ord )
!= ( TZN @ ord ) )
| ( TZN @ ( TZM @ fun ) @ ord ) ),
inference(simp,[status(thm)],[33783]) ).
thf(33785,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[33784:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) ))]]) ).
thf(33970,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ord )
!= ( TZO @ ord ) )
| ( TZO @ ( TZN @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33785,296]) ).
thf(33971,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ord )
!= ( TZO @ ord ) )
| ( TZO @ ( TZN @ fun ) @ ord ) ),
inference(simp,[status(thm)],[33970]) ).
thf(33972,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[33971:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) ))]]) ).
thf(37381,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ord )
!= ( TZP @ ord ) )
| ( TZP @ ( TZO @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33972,296]) ).
thf(37382,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ord )
!= ( TZP @ ord ) )
| ( TZP @ ( TZO @ fun ) @ ord ) ),
inference(simp,[status(thm)],[37381]) ).
thf(37383,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[37382:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) ))]]) ).
thf(38116,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ord )
!= ( TZQ @ ord ) )
| ( TZQ @ ( TZP @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37383,296]) ).
thf(38117,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ord )
!= ( TZQ @ ord ) )
| ( TZQ @ ( TZP @ fun ) @ ord ) ),
inference(simp,[status(thm)],[38116]) ).
thf(38118,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[38117:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) ))]]) ).
thf(39391,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ord )
!= ( TZR @ ord ) )
| ( TZR @ ( TZQ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38118,296]) ).
thf(39392,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ord )
!= ( TZR @ ord ) )
| ( TZR @ ( TZQ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[39391]) ).
thf(39393,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[39392:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) ))]]) ).
thf(40173,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ord )
!= ( TZS @ ord ) )
| ( TZS @ ( TZR @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39393,296]) ).
thf(40174,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ord )
!= ( TZS @ ord ) )
| ( TZS @ ( TZR @ fun ) @ ord ) ),
inference(simp,[status(thm)],[40173]) ).
thf(40175,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[40174:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) ))]]) ).
thf(40278,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ord )
!= ( TZT @ ord ) )
| ( TZT @ ( TZS @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40175,296]) ).
thf(40279,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ord )
!= ( TZT @ ord ) )
| ( TZT @ ( TZS @ fun ) @ ord ) ),
inference(simp,[status(thm)],[40278]) ).
thf(40280,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[40279:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) ))]]) ).
thf(40712,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ord )
!= ( TZU @ ord ) )
| ( TZU @ ( TZT @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40280,296]) ).
thf(40713,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ord )
!= ( TZU @ ord ) )
| ( TZU @ ( TZT @ fun ) @ ord ) ),
inference(simp,[status(thm)],[40712]) ).
thf(40714,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[40713:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) ))]]) ).
thf(41044,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ord )
!= ( TZV @ ord ) )
| ( TZV @ ( TZU @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40714,296]) ).
thf(41045,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ord )
!= ( TZV @ ord ) )
| ( TZV @ ( TZU @ fun ) @ ord ) ),
inference(simp,[status(thm)],[41044]) ).
thf(41046,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[41045:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) ))]]) ).
thf(41689,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ord )
!= ( TZW @ ord ) )
| ( TZW @ ( TZV @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41046,296]) ).
thf(41690,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ord )
!= ( TZW @ ord ) )
| ( TZW @ ( TZV @ fun ) @ ord ) ),
inference(simp,[status(thm)],[41689]) ).
thf(41691,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[41690:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) ))]]) ).
thf(41965,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ord )
!= ( TZX @ ord ) )
| ( TZX @ ( TZW @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41691,296]) ).
thf(41966,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ord )
!= ( TZX @ ord ) )
| ( TZX @ ( TZW @ fun ) @ ord ) ),
inference(simp,[status(thm)],[41965]) ).
thf(41967,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[41966:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) ))]]) ).
thf(42293,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ord )
!= ( TZY @ ord ) )
| ( TZY @ ( TZX @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41967,296]) ).
thf(42294,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ord )
!= ( TZY @ ord ) )
| ( TZY @ ( TZX @ fun ) @ ord ) ),
inference(simp,[status(thm)],[42293]) ).
thf(42295,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[42294:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) ))]]) ).
thf(42855,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ord )
!= ( TZZ @ ord ) )
| ( TZZ @ ( TZY @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42295,296]) ).
thf(42856,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ord )
!= ( TZZ @ ord ) )
| ( TZZ @ ( TZY @ fun ) @ ord ) ),
inference(simp,[status(thm)],[42855]) ).
thf(42857,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[42856:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) ))]]) ).
thf(44422,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ord )
!= ( TZZA @ ord ) )
| ( TZZA @ ( TZZ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42857,296]) ).
thf(44423,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ord )
!= ( TZZA @ ord ) )
| ( TZZA @ ( TZZ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[44422]) ).
thf(44424,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[44423:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) ))]]) ).
thf(45873,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ord )
!= ( TZZB @ ord ) )
| ( TZZB @ ( TZZA @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[44424,296]) ).
thf(45874,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ord )
!= ( TZZB @ ord ) )
| ( TZZB @ ( TZZA @ fun ) @ ord ) ),
inference(simp,[status(thm)],[45873]) ).
thf(45875,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[45874:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) ))]]) ).
thf(46399,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ord )
!= ( TZZC @ ord ) )
| ( TZZC @ ( TZZB @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[45875,296]) ).
thf(46400,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ord )
!= ( TZZC @ ord ) )
| ( TZZC @ ( TZZB @ fun ) @ ord ) ),
inference(simp,[status(thm)],[46399]) ).
thf(46401,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[46400:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) ))]]) ).
thf(47487,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ord )
!= ( TZZD @ ord ) )
| ( TZZD @ ( TZZC @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[46401,296]) ).
thf(47488,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ord )
!= ( TZZD @ ord ) )
| ( TZZD @ ( TZZC @ fun ) @ ord ) ),
inference(simp,[status(thm)],[47487]) ).
thf(47489,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[47488:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) ))]]) ).
thf(48502,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ord )
!= ( TZZE @ ord ) )
| ( TZZE @ ( TZZD @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[47489,296]) ).
thf(48503,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ord )
!= ( TZZE @ ord ) )
| ( TZZE @ ( TZZD @ fun ) @ ord ) ),
inference(simp,[status(thm)],[48502]) ).
thf(48504,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[48503:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) ))]]) ).
thf(49582,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ord )
!= ( TZZF @ ord ) )
| ( TZZF @ ( TZZE @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[48504,296]) ).
thf(49583,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ord )
!= ( TZZF @ ord ) )
| ( TZZF @ ( TZZE @ fun ) @ ord ) ),
inference(simp,[status(thm)],[49582]) ).
thf(49584,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[49583:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) ))]]) ).
thf(50831,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ord )
!= ( TZZG @ ord ) )
| ( TZZG @ ( TZZF @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[49584,296]) ).
thf(50832,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ord )
!= ( TZZG @ ord ) )
| ( TZZG @ ( TZZF @ fun ) @ ord ) ),
inference(simp,[status(thm)],[50831]) ).
thf(50833,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[50832:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) ))]]) ).
thf(51654,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ord )
!= ( TZZH @ ord ) )
| ( TZZH @ ( TZZG @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[50833,296]) ).
thf(51655,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ord )
!= ( TZZH @ ord ) )
| ( TZZH @ ( TZZG @ fun ) @ ord ) ),
inference(simp,[status(thm)],[51654]) ).
thf(51656,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[51655:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) ))]]) ).
thf(52000,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ord )
!= ( TZZI @ ord ) )
| ( TZZI @ ( TZZH @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[51656,296]) ).
thf(52001,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ord )
!= ( TZZI @ ord ) )
| ( TZZI @ ( TZZH @ fun ) @ ord ) ),
inference(simp,[status(thm)],[52000]) ).
thf(52002,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[52001:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) ))]]) ).
thf(53264,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ord )
!= ( TZZJ @ ord ) )
| ( TZZJ @ ( TZZI @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[52002,296]) ).
thf(53265,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ord )
!= ( TZZJ @ ord ) )
| ( TZZJ @ ( TZZI @ fun ) @ ord ) ),
inference(simp,[status(thm)],[53264]) ).
thf(53266,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[53265:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) ))]]) ).
thf(53809,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ord )
!= ( TZZK @ ord ) )
| ( TZZK @ ( TZZJ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[53266,296]) ).
thf(53810,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ord )
!= ( TZZK @ ord ) )
| ( TZZK @ ( TZZJ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[53809]) ).
thf(53811,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[53810:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) ))]]) ).
thf(54925,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ord )
!= ( TZZL @ ord ) )
| ( TZZL @ ( TZZK @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[53811,296]) ).
thf(54926,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ord )
!= ( TZZL @ ord ) )
| ( TZZL @ ( TZZK @ fun ) @ ord ) ),
inference(simp,[status(thm)],[54925]) ).
thf(54927,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[54926:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) ))]]) ).
thf(56980,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ord )
!= ( TZZM @ ord ) )
| ( TZZM @ ( TZZL @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54927,296]) ).
thf(56981,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ord )
!= ( TZZM @ ord ) )
| ( TZZM @ ( TZZL @ fun ) @ ord ) ),
inference(simp,[status(thm)],[56980]) ).
thf(56982,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[56981:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) ))]]) ).
thf(57560,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ord )
!= ( TZZN @ ord ) )
| ( TZZN @ ( TZZM @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[56982,296]) ).
thf(57561,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ord )
!= ( TZZN @ ord ) )
| ( TZZN @ ( TZZM @ fun ) @ ord ) ),
inference(simp,[status(thm)],[57560]) ).
thf(57562,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[57561:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) ))]]) ).
thf(58088,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ord )
!= ( TZZO @ ord ) )
| ( TZZO @ ( TZZN @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[57562,296]) ).
thf(58089,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ord )
!= ( TZZO @ ord ) )
| ( TZZO @ ( TZZN @ fun ) @ ord ) ),
inference(simp,[status(thm)],[58088]) ).
thf(58090,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[58089:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( TZZN )),bind_type(TZZO,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) ))]]) ).
thf(3,axiom,
! [TA: $tType,A: TA,B: TA] :
( ( A @ ( B @ ( fFalse @ ( TA @ if ) ) ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_2_1_T) ).
thf(136,plain,
! [TA: $tType,A: TA,B: TA] :
( ( A @ ( B @ ( fFalse @ ( TA @ if ) ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(137,plain,
! [TA: $tType,B: TA,A: TA] :
( ( A @ ( B @ ( fFalse @ ( TA @ if ) ) ) )
= A ),
inference(cnf,[status(esa)],[136]) ).
thf(138,plain,
! [TA: $tType,B: TA,A: TA] :
( ( A @ ( B @ ( fFalse @ ( TA @ if ) ) ) )
= A ),
inference(lifteq,[status(thm)],[137]) ).
thf(79,axiom,
! [A: nat] :
( ( nat @ zero_zero @ ( A @ ( nat @ ord_less_eq ) ) )
<=> ( A
= ( nat @ zero_zero ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_le__0__eq) ).
thf(410,plain,
! [A: nat] :
( ( ( A
= ( nat @ zero_zero ) )
=> ( nat @ zero_zero @ ( A @ ( nat @ ord_less_eq ) ) ) )
& ( ( nat @ zero_zero @ ( A @ ( nat @ ord_less_eq ) ) )
=> ( A
= ( nat @ zero_zero ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(411,plain,
( ! [A: nat] :
( ( A
= ( nat @ zero_zero ) )
=> ( nat @ zero_zero @ ( A @ ( nat @ ord_less_eq ) ) ) )
& ! [A: nat] :
( ( nat @ zero_zero @ ( A @ ( nat @ ord_less_eq ) ) )
=> ( A
= ( nat @ zero_zero ) ) ) ),
inference(miniscope,[status(thm)],[410]) ).
thf(412,plain,
! [B: nat,A: nat] :
( ( ( nat @ zero_zero @ ( B @ ( nat @ ord_less_eq ) ) )
| ( B
!= ( nat @ zero_zero ) ) )
& ( ( A
= ( nat @ zero_zero ) )
| ~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less_eq ) ) ) ) ),
inference(cnf,[status(esa)],[411]) ).
thf(413,plain,
! [A: nat] :
( ( A
= ( nat @ zero_zero ) )
| ~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less_eq ) ) ) ),
inference(cnfConj,[status(thm)],[412]) ).
thf(415,plain,
! [A: nat] :
( ~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less_eq ) ) )
| ( A
= ( nat @ zero_zero ) ) ),
inference(lifteq,[status(thm)],[413]) ).
thf(25069,plain,
! [A: nat] :
( ( A
!= ( w @ ( nat @ semiring_1_of_nat ) ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) )
| ~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less_eq ) ) ) ),
inference(paramod_ordered,[status(thm)],[415,12404]) ).
thf(25070,plain,
! [A: nat] :
( ( A
!= ( w @ ( nat @ semiring_1_of_nat ) ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less_eq ) ) ) ),
inference(simp,[status(thm)],[25069]) ).
thf(25071,plain,
( ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( nat @ zero_zero @ ( w @ ( nat @ semiring_1_of_nat ) @ ( nat @ ord_less_eq ) ) ) ),
inference(pattern_uni,[status(thm)],[25070:[bind(A,$thf( w @ ( nat @ semiring_1_of_nat ) ))]]) ).
thf(24,axiom,
! [A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) )
= ( int @ zero_zero ) )
<=> ( A
= ( nat @ zero_zero ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_int__eq__0__conv) ).
thf(202,plain,
! [A: nat] :
( ( ( A
= ( nat @ zero_zero ) )
=> ( ( A @ ( int @ semiring_1_of_nat ) )
= ( int @ zero_zero ) ) )
& ( ( ( A @ ( int @ semiring_1_of_nat ) )
= ( int @ zero_zero ) )
=> ( A
= ( nat @ zero_zero ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(203,plain,
( ! [A: nat] :
( ( A
= ( nat @ zero_zero ) )
=> ( ( A @ ( int @ semiring_1_of_nat ) )
= ( int @ zero_zero ) ) )
& ! [A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) )
= ( int @ zero_zero ) )
=> ( A
= ( nat @ zero_zero ) ) ) ),
inference(miniscope,[status(thm)],[202]) ).
thf(204,plain,
! [B: nat,A: nat] :
( ( ( ( B @ ( int @ semiring_1_of_nat ) )
= ( int @ zero_zero ) )
| ( B
!= ( nat @ zero_zero ) ) )
& ( ( A
= ( nat @ zero_zero ) )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ) ),
inference(cnf,[status(esa)],[203]) ).
thf(205,plain,
! [A: nat] :
( ( A
= ( nat @ zero_zero ) )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(cnfConj,[status(thm)],[204]) ).
thf(207,plain,
! [A: nat] :
( ( A
= ( nat @ zero_zero ) )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(lifteq,[status(thm)],[205]) ).
thf(130,plain,
( ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) ),
inference(cnfConj,[status(thm)],[128]) ).
thf(133,plain,
( ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) ) ) ),
inference(lifteq,[status(thm)],[130]) ).
thf(616,plain,
( ( a != a )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) ),
inference(simp,[status(thm)],[133]) ).
thf(617,plain,
( ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) ),
inference(simp,[status(thm)],[616]) ).
thf(3398,plain,
! [A: nat] :
( ( A != w )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[207,617]) ).
thf(3399,plain,
( ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( w @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(pattern_uni,[status(thm)],[3398:[bind(A,$thf( w ))]]) ).
thf(648,plain,
( ( a != a )
| ( t_2 != t_1 )
| ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) ) ),
inference(simp,[status(thm)],[637]) ).
thf(657,plain,
( ( t_2 != t_1 )
| ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) ) ),
inference(simp,[status(thm)],[648]) ).
thf(107,axiom,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: TA] :
( ~ ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) )
=> ( ( B @ ( A @ ( TA @ huffma1401021291ibling ) ) )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_notin__alphabet__imp__sibling__id) ).
thf(523,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: TA] :
( ~ ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) )
=> ( ( B @ ( A @ ( TA @ huffma1401021291ibling ) ) )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(524,plain,
! [TA: $tType,B: TA,A: TA @ huffma1450048681e_tree] :
( ( ( B @ ( A @ ( TA @ huffma1401021291ibling ) ) )
= B )
| ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) ) ),
inference(cnf,[status(esa)],[523]) ).
thf(525,plain,
! [TA: $tType,B: TA,A: TA @ huffma1450048681e_tree] :
( ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) )
| ( ( B @ ( A @ ( TA @ huffma1401021291ibling ) ) )
= B ) ),
inference(lifteq,[status(thm)],[524]) ).
thf(112,axiom,
( ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(545,plain,
( ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(546,plain,
( ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(cnf,[status(esa)],[545]) ).
thf(105,axiom,
! [TA: $tType,A: nat,B: TA @ huffma1450048681e_tree,C: TA,D: TA @ huffma1450048681e_tree] :
( ( D @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( ( B @ ( TA @ huffma675207370phabet ) @ ( C @ ( TA @ member ) ) )
=> ( ( C @ ( D @ ( B @ ( A @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( C @ ( B @ ( TA @ huffma1401021291ibling ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_height__gt__0__in__alphabet__imp__sibling__right) ).
thf(517,plain,
! [TA: $tType,A: nat,B: TA @ huffma1450048681e_tree,C: TA,D: TA @ huffma1450048681e_tree] :
( ( D @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( ( B @ ( TA @ huffma675207370phabet ) @ ( C @ ( TA @ member ) ) )
=> ( ( C @ ( D @ ( B @ ( A @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( C @ ( B @ ( TA @ huffma1401021291ibling ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(518,plain,
! [TA: $tType,D: TA @ huffma1450048681e_tree,C: TA,B: TA @ huffma1450048681e_tree,A: nat] :
( ( ( C @ ( D @ ( B @ ( A @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( C @ ( B @ ( TA @ huffma1401021291ibling ) ) ) )
| ~ ( B @ ( TA @ huffma675207370phabet ) @ ( C @ ( TA @ member ) ) )
| ~ ( D @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(cnf,[status(esa)],[517]) ).
thf(519,plain,
! [TA: $tType,D: TA @ huffma1450048681e_tree,C: TA,B: TA @ huffma1450048681e_tree,A: nat] :
( ~ ( B @ ( TA @ huffma675207370phabet ) @ ( C @ ( TA @ member ) ) )
| ~ ( D @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( ( C @ ( D @ ( B @ ( A @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( C @ ( B @ ( TA @ huffma1401021291ibling ) ) ) ) ),
inference(lifteq,[status(thm)],[518]) ).
thf(131,plain,
( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) ) ),
inference(cnfConj,[status(thm)],[128]) ).
thf(134,plain,
( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) ) ),
inference(lifteq,[status(thm)],[131]) ).
thf(43703,plain,
! [D: a1 @ huffma1450048681e_tree,C: a1,B: a1 @ huffma1450048681e_tree,A: nat] :
( ( ( C @ ( D @ ( B @ ( A @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( C @ ( B @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ~ ( B @ ( a1 @ huffma675207370phabet ) @ ( C @ ( a1 @ member ) ) )
| ~ ( D @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(paramod_ordered,[status(thm)],[519,134]) ).
thf(43704,plain,
( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(pattern_uni,[status(thm)],[43703:[bind(A,$thf( w )),bind(B,$thf( t_1 )),bind(C,$thf( a )),bind(D,$thf( t_2 ))]]) ).
thf(44034,plain,
( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(simp,[status(thm)],[43704]) ).
thf(44166,plain,
( ( ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ $true
| ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(paramod_ordered,[status(thm)],[546,44034]) ).
thf(44167,plain,
( ( ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(simp,[status(thm)],[44166]) ).
thf(44168,plain,
( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(pattern_uni,[status(thm)],[44167:[]]) ).
thf(47901,plain,
! [TA: $tType,B: TA,A: TA @ huffma1450048681e_tree] :
( ( ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ~ $true
| ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( ( B @ ( A @ ( TA @ huffma1401021291ibling ) ) )
= B ) ),
inference(paramod_ordered,[status(thm)],[525,44168]) ).
thf(47902,plain,
! [TA: $tType,B: TA,A: TA @ huffma1450048681e_tree] :
( ( ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( ( B @ ( A @ ( TA @ huffma1401021291ibling ) ) )
= B ) ),
inference(simp,[status(thm)],[47901]) ).
thf(47903,plain,
( ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) )
= a ) ),
inference(pattern_uni,[status(thm)],[47902:[bind(A,$thf( t_1 )),bind(B,$thf( a )),bind_type(TA,$thf( a1 ))]]) ).
thf(104,axiom,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: nat,C: TA,D: TA @ huffma1450048681e_tree] :
( ( D @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( ( D @ ( TA @ huffma675207370phabet ) @ ( C @ ( TA @ member ) ) )
=> ( ( C @ ( A @ ( D @ ( B @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( C @ ( D @ ( TA @ huffma1401021291ibling ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_height__gt__0__in__alphabet__imp__sibling__left) ).
thf(514,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: nat,C: TA,D: TA @ huffma1450048681e_tree] :
( ( D @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( ( D @ ( TA @ huffma675207370phabet ) @ ( C @ ( TA @ member ) ) )
=> ( ( C @ ( A @ ( D @ ( B @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( C @ ( D @ ( TA @ huffma1401021291ibling ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(515,plain,
! [TA: $tType,D: TA @ huffma1450048681e_tree,C: TA,B: nat,A: TA @ huffma1450048681e_tree] :
( ( ( C @ ( A @ ( D @ ( B @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( C @ ( D @ ( TA @ huffma1401021291ibling ) ) ) )
| ~ ( D @ ( TA @ huffma675207370phabet ) @ ( C @ ( TA @ member ) ) )
| ~ ( D @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(cnf,[status(esa)],[514]) ).
thf(516,plain,
! [TA: $tType,D: TA @ huffma1450048681e_tree,C: TA,B: nat,A: TA @ huffma1450048681e_tree] :
( ~ ( D @ ( TA @ huffma675207370phabet ) @ ( C @ ( TA @ member ) ) )
| ~ ( D @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( ( C @ ( A @ ( D @ ( B @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( C @ ( D @ ( TA @ huffma1401021291ibling ) ) ) ) ),
inference(lifteq,[status(thm)],[515]) ).
thf(42457,plain,
! [D: a1 @ huffma1450048681e_tree,C: a1,B: nat,A: a1 @ huffma1450048681e_tree] :
( ( ( C @ ( A @ ( D @ ( B @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( C @ ( D @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ~ ( D @ ( a1 @ huffma675207370phabet ) @ ( C @ ( a1 @ member ) ) )
| ~ ( D @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(paramod_ordered,[status(thm)],[516,134]) ).
thf(42458,plain,
( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(pattern_uni,[status(thm)],[42457:[bind(A,$thf( t_2 )),bind(B,$thf( w )),bind(C,$thf( a )),bind(D,$thf( t_1 ))]]) ).
thf(42792,plain,
( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(simp,[status(thm)],[42458]) ).
thf(45729,plain,
! [TA: $tType,B: TA,A: TA @ huffma1450048681e_tree] :
( ( ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ~ $true
| ~ ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( ( B @ ( A @ ( TA @ huffma1401021291ibling ) ) )
= B ) ),
inference(paramod_ordered,[status(thm)],[525,42792]) ).
thf(45730,plain,
! [TA: $tType,B: TA,A: TA @ huffma1450048681e_tree] :
( ( ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( ( B @ ( A @ ( TA @ huffma1401021291ibling ) ) )
= B ) ),
inference(simp,[status(thm)],[45729]) ).
thf(45731,plain,
( ~ ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) )
= a ) ),
inference(pattern_uni,[status(thm)],[45730:[bind(A,$thf( t_1 )),bind(B,$thf( a )),bind_type(TA,$thf( a1 ))]]) ).
thf(54092,plain,
( ( ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ~ $true
| ( ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) )
= a )
| ( ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) )
= a ) ),
inference(paramod_ordered,[status(thm)],[47903,45731]) ).
thf(54093,plain,
( ( ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ( ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) )
= a ) ),
inference(simp,[status(thm)],[54092]) ).
thf(54094,plain,
( ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) )
= a ),
inference(pattern_uni,[status(thm)],[54093:[]]) ).
thf(54256,plain,
( ( t_2 != t_1 )
| ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= a ) ),
inference(rewrite,[status(thm)],[657,54094]) ).
thf(56,axiom,
! [TA: $tType] :
( ( TA @ semiring_1 )
=> ( ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) )
= ( TA @ zero_zero ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_of__nat__0) ).
thf(317,plain,
! [TA: $tType] :
( ( TA @ semiring_1 )
=> ( ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) )
= ( TA @ zero_zero ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(318,plain,
! [TA: $tType] :
( ( ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) )
= ( TA @ zero_zero ) )
| ~ ( TA @ semiring_1 ) ),
inference(cnf,[status(esa)],[317]) ).
thf(319,plain,
! [TA: $tType] :
( ~ ( TA @ semiring_1 )
| ( ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) )
= ( TA @ zero_zero ) ) ),
inference(lifteq,[status(thm)],[318]) ).
thf(32,axiom,
! [TA: $tType] :
( ( TA @ linordered_semidom )
=> ! [A: nat] :
~ ( TA @ zero_zero @ ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_of__nat__less__0__iff) ).
thf(241,plain,
! [TA: $tType] :
( ( TA @ linordered_semidom )
=> ! [A: nat] :
~ ( TA @ zero_zero @ ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(242,plain,
! [TA: $tType,A: nat] :
( ~ ( TA @ zero_zero @ ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(cnf,[status(esa)],[241]) ).
thf(15180,plain,
! [TB: $tType,A: nat] :
( ( ( nat @ zero_zero @ ( TB @ semiring_1_of_nat ) )
!= ( A @ ( TB @ semiring_1_of_nat ) ) )
| ~ ( TB @ zero_zero @ ( TB @ zero_zero @ ( TB @ ord_less ) ) )
| ~ ( TB @ linordered_semidom )
| ~ ( TB @ semiring_1 ) ),
inference(paramod_ordered,[status(thm)],[319,242]) ).
thf(15181,plain,
! [TB: $tType] :
( ~ ( TB @ zero_zero @ ( TB @ zero_zero @ ( TB @ ord_less ) ) )
| ~ ( TB @ linordered_semidom )
| ~ ( TB @ semiring_1 ) ),
inference(pattern_uni,[status(thm)],[15180:[bind(A,$thf( nat @ zero_zero ))]]) ).
thf(15257,plain,
! [TA: $tType] :
( ~ ( TA @ zero_zero @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom )
| ~ ( TA @ semiring_1 ) ),
inference(simp,[status(thm)],[15181]) ).
thf(45,axiom,
bool @ ord,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL_Obool___Orderings_Oord) ).
thf(287,plain,
bool @ ord,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(12519,plain,
! [TA: $tType,TB: $tType] :
( ( ( bool @ ord )
!= ( TB @ ord ) )
| ( TB @ ( TA @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[287,296]) ).
thf(12520,plain,
! [TA: $tType,TB: $tType] :
( ( ( bool @ ord )
!= ( TB @ ord ) )
| ( TB @ ( TA @ fun ) @ ord ) ),
inference(simp,[status(thm)],[12519]) ).
thf(12521,plain,
! [TA: $tType] : ( bool @ ( TA @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[12520:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( bool ))]]) ).
thf(12528,plain,
! [TA: $tType,TB: $tType,TC: $tType] :
( ( ( bool @ ( TA @ fun ) @ ord )
!= ( TC @ ord ) )
| ( TC @ ( TB @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12521,296]) ).
thf(12529,plain,
! [TA: $tType,TB: $tType,TC: $tType] :
( ( ( bool @ ( TA @ fun ) @ ord )
!= ( TC @ ord ) )
| ( TC @ ( TB @ fun ) @ ord ) ),
inference(simp,[status(thm)],[12528]) ).
thf(12530,plain,
! [TA: $tType,TB: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[12529:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( bool @ ( TA @ fun ) ))]]) ).
thf(12541,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ord )
!= ( TD @ ord ) )
| ( TD @ ( TC @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12530,296]) ).
thf(12542,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ord )
!= ( TD @ ord ) )
| ( TD @ ( TC @ fun ) @ ord ) ),
inference(simp,[status(thm)],[12541]) ).
thf(12543,plain,
! [TA: $tType,TB: $tType,TC: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[12542:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) ))]]) ).
thf(12826,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ord )
!= ( TE @ ord ) )
| ( TE @ ( TD @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12543,296]) ).
thf(12827,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ord )
!= ( TE @ ord ) )
| ( TE @ ( TD @ fun ) @ ord ) ),
inference(simp,[status(thm)],[12826]) ).
thf(12828,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[12827:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) ))]]) ).
thf(13298,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ord )
!= ( TF @ ord ) )
| ( TF @ ( TE @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12828,296]) ).
thf(13299,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ord )
!= ( TF @ ord ) )
| ( TF @ ( TE @ fun ) @ ord ) ),
inference(simp,[status(thm)],[13298]) ).
thf(13300,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[13299:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) ))]]) ).
thf(13307,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ord )
!= ( TG @ ord ) )
| ( TG @ ( TF @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13300,296]) ).
thf(13308,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ord )
!= ( TG @ ord ) )
| ( TG @ ( TF @ fun ) @ ord ) ),
inference(simp,[status(thm)],[13307]) ).
thf(13309,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[13308:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) ))]]) ).
thf(13781,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ord )
!= ( TH @ ord ) )
| ( TH @ ( TG @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13309,296]) ).
thf(13782,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ord )
!= ( TH @ ord ) )
| ( TH @ ( TG @ fun ) @ ord ) ),
inference(simp,[status(thm)],[13781]) ).
thf(13783,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[13782:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) ))]]) ).
thf(13905,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ord )
!= ( TI @ ord ) )
| ( TI @ ( TH @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13783,296]) ).
thf(13906,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ord )
!= ( TI @ ord ) )
| ( TI @ ( TH @ fun ) @ ord ) ),
inference(simp,[status(thm)],[13905]) ).
thf(13907,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[13906:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) ))]]) ).
thf(14011,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ord )
!= ( TJ @ ord ) )
| ( TJ @ ( TI @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13907,296]) ).
thf(14012,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ord )
!= ( TJ @ ord ) )
| ( TJ @ ( TI @ fun ) @ ord ) ),
inference(simp,[status(thm)],[14011]) ).
thf(14013,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[14012:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) ))]]) ).
thf(14962,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ord )
!= ( TK @ ord ) )
| ( TK @ ( TJ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14013,296]) ).
thf(14963,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ord )
!= ( TK @ ord ) )
| ( TK @ ( TJ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[14962]) ).
thf(14964,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[14963:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) ))]]) ).
thf(14971,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ord )
!= ( TL @ ord ) )
| ( TL @ ( TK @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14964,296]) ).
thf(14972,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ord )
!= ( TL @ ord ) )
| ( TL @ ( TK @ fun ) @ ord ) ),
inference(simp,[status(thm)],[14971]) ).
thf(14973,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[14972:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) ))]]) ).
thf(15288,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ord )
!= ( TM @ ord ) )
| ( TM @ ( TL @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14973,296]) ).
thf(15289,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ord )
!= ( TM @ ord ) )
| ( TM @ ( TL @ fun ) @ ord ) ),
inference(simp,[status(thm)],[15288]) ).
thf(15290,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[15289:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) ))]]) ).
thf(15301,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ord )
!= ( TN @ ord ) )
| ( TN @ ( TM @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15290,296]) ).
thf(15302,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ord )
!= ( TN @ ord ) )
| ( TN @ ( TM @ fun ) @ ord ) ),
inference(simp,[status(thm)],[15301]) ).
thf(15303,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[15302:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) ))]]) ).
thf(60,axiom,
! [A: nat,B: nat] :
( ( B != A )
=> ( ~ ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( B @ ( A @ ( nat @ ord_less ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_linorder__neqE__nat) ).
thf(331,plain,
! [A: nat,B: nat] :
( ( B != A )
=> ( ~ ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( B @ ( A @ ( nat @ ord_less ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(332,plain,
! [B: nat,A: nat] :
( ( B @ ( A @ ( nat @ ord_less ) ) )
| ( A @ ( B @ ( nat @ ord_less ) ) )
| ( B = A ) ),
inference(cnf,[status(esa)],[331]) ).
thf(333,plain,
! [B: nat,A: nat] :
( ( B @ ( A @ ( nat @ ord_less ) ) )
| ( A @ ( B @ ( nat @ ord_less ) ) )
| ( B = A ) ),
inference(lifteq,[status(thm)],[332]) ).
thf(35,axiom,
! [A: int] :
( ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
=> ? [B: nat] :
( A
= ( B @ ( int @ semiring_1_of_nat ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_zero__le__imp__eq__int) ).
thf(247,plain,
! [A: int] :
( ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
=> ? [B: nat] :
( A
= ( B @ ( int @ semiring_1_of_nat ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(248,plain,
! [A: int] :
( ( A
= ( A @ sk2 @ ( int @ semiring_1_of_nat ) ) )
| ~ ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) ),
inference(cnf,[status(esa)],[247]) ).
thf(249,plain,
! [A: int] :
( ~ ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
| ( ( A @ sk2 @ ( int @ semiring_1_of_nat ) )
= A ) ),
inference(lifteq,[status(thm)],[248]) ).
thf(13,axiom,
int @ ord,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Orderings_Oord) ).
thf(160,plain,
int @ ord,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(12513,plain,
! [TA: $tType,TB: $tType] :
( ( ( int @ ord )
!= ( TB @ ord ) )
| ( TB @ ( TA @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[160,296]) ).
thf(12514,plain,
! [TA: $tType,TB: $tType] :
( ( ( int @ ord )
!= ( TB @ ord ) )
| ( TB @ ( TA @ fun ) @ ord ) ),
inference(simp,[status(thm)],[12513]) ).
thf(12515,plain,
! [TA: $tType] : ( int @ ( TA @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[12514:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( int ))]]) ).
thf(12525,plain,
! [TA: $tType,TB: $tType,TC: $tType] :
( ( ( int @ ( TA @ fun ) @ ord )
!= ( TC @ ord ) )
| ( TC @ ( TB @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12515,296]) ).
thf(12526,plain,
! [TA: $tType,TB: $tType,TC: $tType] :
( ( ( int @ ( TA @ fun ) @ ord )
!= ( TC @ ord ) )
| ( TC @ ( TB @ fun ) @ ord ) ),
inference(simp,[status(thm)],[12525]) ).
thf(12527,plain,
! [TA: $tType,TB: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[12526:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( int @ ( TA @ fun ) ))]]) ).
thf(12534,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ord )
!= ( TD @ ord ) )
| ( TD @ ( TC @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12527,296]) ).
thf(12535,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ord )
!= ( TD @ ord ) )
| ( TD @ ( TC @ fun ) @ ord ) ),
inference(simp,[status(thm)],[12534]) ).
thf(12536,plain,
! [TA: $tType,TB: $tType,TC: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[12535:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) ))]]) ).
thf(12823,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ord )
!= ( TE @ ord ) )
| ( TE @ ( TD @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12536,296]) ).
thf(12824,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ord )
!= ( TE @ ord ) )
| ( TE @ ( TD @ fun ) @ ord ) ),
inference(simp,[status(thm)],[12823]) ).
thf(12825,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[12824:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) ))]]) ).
thf(12834,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ord )
!= ( TF @ ord ) )
| ( TF @ ( TE @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12825,296]) ).
thf(12835,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ord )
!= ( TF @ ord ) )
| ( TF @ ( TE @ fun ) @ ord ) ),
inference(simp,[status(thm)],[12834]) ).
thf(12836,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[12835:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) ))]]) ).
thf(13304,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ord )
!= ( TG @ ord ) )
| ( TG @ ( TF @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12836,296]) ).
thf(13305,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ord )
!= ( TG @ ord ) )
| ( TG @ ( TF @ fun ) @ ord ) ),
inference(simp,[status(thm)],[13304]) ).
thf(13306,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[13305:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) ))]]) ).
thf(13778,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ord )
!= ( TH @ ord ) )
| ( TH @ ( TG @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13306,296]) ).
thf(13779,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ord )
!= ( TH @ ord ) )
| ( TH @ ( TG @ fun ) @ ord ) ),
inference(simp,[status(thm)],[13778]) ).
thf(13780,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[13779:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) ))]]) ).
thf(13787,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ord )
!= ( TI @ ord ) )
| ( TI @ ( TH @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13780,296]) ).
thf(13788,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ord )
!= ( TI @ ord ) )
| ( TI @ ( TH @ fun ) @ ord ) ),
inference(simp,[status(thm)],[13787]) ).
thf(13789,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[13788:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) ))]]) ).
thf(14008,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ord )
!= ( TJ @ ord ) )
| ( TJ @ ( TI @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[13789,296]) ).
thf(14009,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ord )
!= ( TJ @ ord ) )
| ( TJ @ ( TI @ fun ) @ ord ) ),
inference(simp,[status(thm)],[14008]) ).
thf(14010,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[14009:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) ))]]) ).
thf(14220,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ord )
!= ( TK @ ord ) )
| ( TK @ ( TJ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14010,296]) ).
thf(14221,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ord )
!= ( TK @ ord ) )
| ( TK @ ( TJ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[14220]) ).
thf(14222,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[14221:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) ))]]) ).
thf(14968,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ord )
!= ( TL @ ord ) )
| ( TL @ ( TK @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14222,296]) ).
thf(14969,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ord )
!= ( TL @ ord ) )
| ( TL @ ( TK @ fun ) @ ord ) ),
inference(simp,[status(thm)],[14968]) ).
thf(14970,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[14969:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) ))]]) ).
thf(15285,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ord )
!= ( TM @ ord ) )
| ( TM @ ( TL @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[14970,296]) ).
thf(15286,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ord )
!= ( TM @ ord ) )
| ( TM @ ( TL @ fun ) @ ord ) ),
inference(simp,[status(thm)],[15285]) ).
thf(15287,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[15286:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) ))]]) ).
thf(15294,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ord )
!= ( TN @ ord ) )
| ( TN @ ( TM @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15287,296]) ).
thf(15295,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ord )
!= ( TN @ ord ) )
| ( TN @ ( TM @ fun ) @ ord ) ),
inference(simp,[status(thm)],[15294]) ).
thf(15296,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[15295:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) ))]]) ).
thf(15743,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ord )
!= ( TO @ ord ) )
| ( TO @ ( TN @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15296,296]) ).
thf(15744,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ord )
!= ( TO @ ord ) )
| ( TO @ ( TN @ fun ) @ ord ) ),
inference(simp,[status(thm)],[15743]) ).
thf(15745,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[15744:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) ))]]) ).
thf(15755,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ord )
!= ( TP @ ord ) )
| ( TP @ ( TO @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15745,296]) ).
thf(15756,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ord )
!= ( TP @ ord ) )
| ( TP @ ( TO @ fun ) @ ord ) ),
inference(simp,[status(thm)],[15755]) ).
thf(15757,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[15756:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) ))]]) ).
thf(15988,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ord )
!= ( TQ @ ord ) )
| ( TQ @ ( TP @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15757,296]) ).
thf(15989,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ord )
!= ( TQ @ ord ) )
| ( TQ @ ( TP @ fun ) @ ord ) ),
inference(simp,[status(thm)],[15988]) ).
thf(15990,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[15989:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) ))]]) ).
thf(16141,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ord )
!= ( TR @ ord ) )
| ( TR @ ( TQ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15990,296]) ).
thf(16142,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ord )
!= ( TR @ ord ) )
| ( TR @ ( TQ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[16141]) ).
thf(16143,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[16142:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) ))]]) ).
thf(16150,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ord )
!= ( TS @ ord ) )
| ( TS @ ( TR @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16143,296]) ).
thf(16151,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ord )
!= ( TS @ ord ) )
| ( TS @ ( TR @ fun ) @ ord ) ),
inference(simp,[status(thm)],[16150]) ).
thf(16152,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[16151:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) ))]]) ).
thf(16438,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ord )
!= ( TT @ ord ) )
| ( TT @ ( TS @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16152,296]) ).
thf(16439,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ord )
!= ( TT @ ord ) )
| ( TT @ ( TS @ fun ) @ ord ) ),
inference(simp,[status(thm)],[16438]) ).
thf(16440,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[16439:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) ))]]) ).
thf(16587,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ord )
!= ( TU @ ord ) )
| ( TU @ ( TT @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16440,296]) ).
thf(16588,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ord )
!= ( TU @ ord ) )
| ( TU @ ( TT @ fun ) @ ord ) ),
inference(simp,[status(thm)],[16587]) ).
thf(16589,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[16588:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) ))]]) ).
thf(17928,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ord )
!= ( TV @ ord ) )
| ( TV @ ( TU @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16589,296]) ).
thf(17929,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ord )
!= ( TV @ ord ) )
| ( TV @ ( TU @ fun ) @ ord ) ),
inference(simp,[status(thm)],[17928]) ).
thf(17930,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[17929:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) ))]]) ).
thf(18504,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ord )
!= ( TW @ ord ) )
| ( TW @ ( TV @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17930,296]) ).
thf(18505,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ord )
!= ( TW @ ord ) )
| ( TW @ ( TV @ fun ) @ ord ) ),
inference(simp,[status(thm)],[18504]) ).
thf(18506,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[18505:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) ))]]) ).
thf(18525,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ord )
!= ( TX @ ord ) )
| ( TX @ ( TW @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18506,296]) ).
thf(18526,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ord )
!= ( TX @ ord ) )
| ( TX @ ( TW @ fun ) @ ord ) ),
inference(simp,[status(thm)],[18525]) ).
thf(18527,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[18526:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) ))]]) ).
thf(19122,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ord )
!= ( TY @ ord ) )
| ( TY @ ( TX @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18527,296]) ).
thf(19123,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ord )
!= ( TY @ ord ) )
| ( TY @ ( TX @ fun ) @ ord ) ),
inference(simp,[status(thm)],[19122]) ).
thf(19124,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[19123:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) ))]]) ).
thf(19155,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ord )
!= ( TZ @ ord ) )
| ( TZ @ ( TY @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19124,296]) ).
thf(19156,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ord )
!= ( TZ @ ord ) )
| ( TZ @ ( TY @ fun ) @ ord ) ),
inference(simp,[status(thm)],[19155]) ).
thf(19157,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[19156:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) ))]]) ).
thf(19363,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ord )
!= ( TZA @ ord ) )
| ( TZA @ ( TZ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19157,296]) ).
thf(19364,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ord )
!= ( TZA @ ord ) )
| ( TZA @ ( TZ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[19363]) ).
thf(19365,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[19364:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) ))]]) ).
thf(20766,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ord )
!= ( TZB @ ord ) )
| ( TZB @ ( TZA @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19365,296]) ).
thf(20767,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ord )
!= ( TZB @ ord ) )
| ( TZB @ ( TZA @ fun ) @ ord ) ),
inference(simp,[status(thm)],[20766]) ).
thf(20768,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[20767:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) ))]]) ).
thf(20799,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ord )
!= ( TZC @ ord ) )
| ( TZC @ ( TZB @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20768,296]) ).
thf(20800,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ord )
!= ( TZC @ ord ) )
| ( TZC @ ( TZB @ fun ) @ ord ) ),
inference(simp,[status(thm)],[20799]) ).
thf(20801,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[20800:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) ))]]) ).
thf(21010,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ord )
!= ( TZD @ ord ) )
| ( TZD @ ( TZC @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20801,296]) ).
thf(21011,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ord )
!= ( TZD @ ord ) )
| ( TZD @ ( TZC @ fun ) @ ord ) ),
inference(simp,[status(thm)],[21010]) ).
thf(21012,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[21011:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) ))]]) ).
thf(10,axiom,
int @ preorder,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Orderings_Opreorder) ).
thf(150,plain,
int @ preorder,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(20987,plain,
! [TA: $tType,TB: $tType] :
( ( ( int @ preorder )
!= ( TB @ preorder ) )
| ( TB @ ( TA @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[150,347]) ).
thf(20988,plain,
! [TA: $tType,TB: $tType] :
( ( ( int @ preorder )
!= ( TB @ preorder ) )
| ( TB @ ( TA @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[20987]) ).
thf(20989,plain,
! [TA: $tType] : ( int @ ( TA @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[20988:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( int ))]]) ).
thf(21032,plain,
! [TA: $tType,TB: $tType,TC: $tType] :
( ( ( int @ ( TA @ fun ) @ preorder )
!= ( TC @ preorder ) )
| ( TC @ ( TB @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20989,347]) ).
thf(21033,plain,
! [TA: $tType,TB: $tType,TC: $tType] :
( ( ( int @ ( TA @ fun ) @ preorder )
!= ( TC @ preorder ) )
| ( TC @ ( TB @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[21032]) ).
thf(21034,plain,
! [TA: $tType,TB: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[21033:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( int @ ( TA @ fun ) ))]]) ).
thf(21131,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ preorder )
!= ( TD @ preorder ) )
| ( TD @ ( TC @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21034,347]) ).
thf(21132,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ preorder )
!= ( TD @ preorder ) )
| ( TD @ ( TC @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[21131]) ).
thf(21133,plain,
! [TA: $tType,TB: $tType,TC: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[21132:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) ))]]) ).
thf(21406,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ preorder )
!= ( TE @ preorder ) )
| ( TE @ ( TD @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21133,347]) ).
thf(21407,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ preorder )
!= ( TE @ preorder ) )
| ( TE @ ( TD @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[21406]) ).
thf(21408,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[21407:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) ))]]) ).
thf(21462,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ preorder )
!= ( TF @ preorder ) )
| ( TF @ ( TE @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21408,347]) ).
thf(21463,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ preorder )
!= ( TF @ preorder ) )
| ( TF @ ( TE @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[21462]) ).
thf(21464,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[21463:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) ))]]) ).
thf(22792,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ preorder )
!= ( TG @ preorder ) )
| ( TG @ ( TF @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21464,347]) ).
thf(22793,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ preorder )
!= ( TG @ preorder ) )
| ( TG @ ( TF @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[22792]) ).
thf(22794,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[22793:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) ))]]) ).
thf(23120,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ preorder )
!= ( TH @ preorder ) )
| ( TH @ ( TG @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22794,347]) ).
thf(23121,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ preorder )
!= ( TH @ preorder ) )
| ( TH @ ( TG @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[23120]) ).
thf(23122,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[23121:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) ))]]) ).
thf(24528,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ preorder )
!= ( TI @ preorder ) )
| ( TI @ ( TH @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23122,347]) ).
thf(24529,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ preorder )
!= ( TI @ preorder ) )
| ( TI @ ( TH @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[24528]) ).
thf(24530,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[24529:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) ))]]) ).
thf(24754,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ preorder )
!= ( TJ @ preorder ) )
| ( TJ @ ( TI @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24530,347]) ).
thf(24755,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ preorder )
!= ( TJ @ preorder ) )
| ( TJ @ ( TI @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[24754]) ).
thf(24756,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[24755:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) ))]]) ).
thf(25757,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ preorder )
!= ( TK @ preorder ) )
| ( TK @ ( TJ @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24756,347]) ).
thf(25758,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ preorder )
!= ( TK @ preorder ) )
| ( TK @ ( TJ @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[25757]) ).
thf(25759,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[25758:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) ))]]) ).
thf(26002,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ preorder )
!= ( TL @ preorder ) )
| ( TL @ ( TK @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25759,347]) ).
thf(26003,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ preorder )
!= ( TL @ preorder ) )
| ( TL @ ( TK @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[26002]) ).
thf(26004,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[26003:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) ))]]) ).
thf(27631,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ preorder )
!= ( TM @ preorder ) )
| ( TM @ ( TL @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[26004,347]) ).
thf(27632,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ preorder )
!= ( TM @ preorder ) )
| ( TM @ ( TL @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[27631]) ).
thf(27633,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[27632:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) ))]]) ).
thf(618,plain,
( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( a != a )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[134]) ).
thf(625,plain,
( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[618]) ).
thf(1240,plain,
! [A: nat] :
( ( A != w )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(paramod_ordered,[status(thm)],[330,625]) ).
thf(1241,plain,
( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(pattern_uni,[status(thm)],[1240:[bind(A,$thf( w ))]]) ).
thf(1934,plain,
! [A: nat] :
( ( ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( nat @ zero_zero @ ( A @ ( nat @ ord_less ) ) ) )
| ~ $true
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(paramod_ordered,[status(thm)],[1241,316]) ).
thf(1935,plain,
! [A: nat] :
( ( ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( nat @ zero_zero @ ( A @ ( nat @ ord_less ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[1934]) ).
thf(1965,plain,
! [A: nat] :
( ( w
!= ( nat @ zero_zero ) )
| ( ( nat @ zero_zero )
!= A )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[1935]) ).
thf(1967,plain,
( ( w
!= ( nat @ zero_zero ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[1965]) ).
thf(2075,plain,
( ( ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ( w
!= ( nat @ zero_zero ) )
| ~ $true
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 ) ),
inference(paramod_ordered,[status(thm)],[617,1967]) ).
thf(2076,plain,
( ( ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ( w
!= ( nat @ zero_zero ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 ) ),
inference(simp,[status(thm)],[2075]) ).
thf(2077,plain,
( ( w
!= ( nat @ zero_zero ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 ) ),
inference(pattern_uni,[status(thm)],[2076:[]]) ).
thf(15,axiom,
! [A: nat] : ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J) ).
thf(169,plain,
! [A: nat] : ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(170,plain,
! [A: nat] : ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ),
inference(cnf,[status(esa)],[169]) ).
thf(15746,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ord )
!= ( TO @ ord ) )
| ( TO @ ( TN @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15303,296]) ).
thf(15747,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ord )
!= ( TO @ ord ) )
| ( TO @ ( TN @ fun ) @ ord ) ),
inference(simp,[status(thm)],[15746]) ).
thf(15748,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[15747:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) ))]]) ).
thf(15982,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ord )
!= ( TP @ ord ) )
| ( TP @ ( TO @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15748,296]) ).
thf(15983,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ord )
!= ( TP @ ord ) )
| ( TP @ ( TO @ fun ) @ ord ) ),
inference(simp,[status(thm)],[15982]) ).
thf(15984,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[15983:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) ))]]) ).
thf(15991,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ord )
!= ( TQ @ ord ) )
| ( TQ @ ( TP @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15984,296]) ).
thf(15992,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ord )
!= ( TQ @ ord ) )
| ( TQ @ ( TP @ fun ) @ ord ) ),
inference(simp,[status(thm)],[15991]) ).
thf(15993,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[15992:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) ))]]) ).
thf(16144,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ord )
!= ( TR @ ord ) )
| ( TR @ ( TQ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15993,296]) ).
thf(16145,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ord )
!= ( TR @ ord ) )
| ( TR @ ( TQ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[16144]) ).
thf(16146,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[16145:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) ))]]) ).
thf(16157,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ord )
!= ( TS @ ord ) )
| ( TS @ ( TR @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16146,296]) ).
thf(16158,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ord )
!= ( TS @ ord ) )
| ( TS @ ( TR @ fun ) @ ord ) ),
inference(simp,[status(thm)],[16157]) ).
thf(16159,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[16158:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) ))]]) ).
thf(16441,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ord )
!= ( TT @ ord ) )
| ( TT @ ( TS @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16159,296]) ).
thf(16442,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ord )
!= ( TT @ ord ) )
| ( TT @ ( TS @ fun ) @ ord ) ),
inference(simp,[status(thm)],[16441]) ).
thf(16443,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[16442:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) ))]]) ).
thf(17922,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ord )
!= ( TU @ ord ) )
| ( TU @ ( TT @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[16443,296]) ).
thf(17923,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ord )
!= ( TU @ ord ) )
| ( TU @ ( TT @ fun ) @ ord ) ),
inference(simp,[status(thm)],[17922]) ).
thf(17924,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[17923:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) ))]]) ).
thf(17931,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ord )
!= ( TV @ ord ) )
| ( TV @ ( TU @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17924,296]) ).
thf(17932,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ord )
!= ( TV @ ord ) )
| ( TV @ ( TU @ fun ) @ ord ) ),
inference(simp,[status(thm)],[17931]) ).
thf(17933,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[17932:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) ))]]) ).
thf(18511,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ord )
!= ( TW @ ord ) )
| ( TW @ ( TV @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[17933,296]) ).
thf(18512,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ord )
!= ( TW @ ord ) )
| ( TW @ ( TV @ fun ) @ ord ) ),
inference(simp,[status(thm)],[18511]) ).
thf(18513,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[18512:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) ))]]) ).
thf(18536,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ord )
!= ( TX @ ord ) )
| ( TX @ ( TW @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18513,296]) ).
thf(18537,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ord )
!= ( TX @ ord ) )
| ( TX @ ( TW @ fun ) @ ord ) ),
inference(simp,[status(thm)],[18536]) ).
thf(18538,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[18537:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) ))]]) ).
thf(19133,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ord )
!= ( TY @ ord ) )
| ( TY @ ( TX @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18538,296]) ).
thf(19134,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ord )
!= ( TY @ ord ) )
| ( TY @ ( TX @ fun ) @ ord ) ),
inference(simp,[status(thm)],[19133]) ).
thf(19135,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[19134:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) ))]]) ).
thf(19341,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ord )
!= ( TZ @ ord ) )
| ( TZ @ ( TY @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19135,296]) ).
thf(19342,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ord )
!= ( TZ @ ord ) )
| ( TZ @ ( TY @ fun ) @ ord ) ),
inference(simp,[status(thm)],[19341]) ).
thf(19343,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[19342:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) ))]]) ).
thf(19374,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ord )
!= ( TZA @ ord ) )
| ( TZA @ ( TZ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19343,296]) ).
thf(19375,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ord )
!= ( TZA @ ord ) )
| ( TZA @ ( TZ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[19374]) ).
thf(19376,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[19375:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) ))]]) ).
thf(20777,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ord )
!= ( TZB @ ord ) )
| ( TZB @ ( TZA @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[19376,296]) ).
thf(20778,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ord )
!= ( TZB @ ord ) )
| ( TZB @ ( TZA @ fun ) @ ord ) ),
inference(simp,[status(thm)],[20777]) ).
thf(20779,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[20778:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) ))]]) ).
thf(20814,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ord )
!= ( TZC @ ord ) )
| ( TZC @ ( TZB @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20779,296]) ).
thf(20815,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ord )
!= ( TZC @ ord ) )
| ( TZC @ ( TZB @ fun ) @ ord ) ),
inference(simp,[status(thm)],[20814]) ).
thf(20816,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[20815:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) ))]]) ).
thf(21021,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ord )
!= ( TZD @ ord ) )
| ( TZD @ ( TZC @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20816,296]) ).
thf(21022,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ord )
!= ( TZD @ ord ) )
| ( TZD @ ( TZC @ fun ) @ ord ) ),
inference(simp,[status(thm)],[21021]) ).
thf(21023,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[21022:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) ))]]) ).
thf(21074,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ord )
!= ( TZE @ ord ) )
| ( TZE @ ( TZD @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21023,296]) ).
thf(21075,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ord )
!= ( TZE @ ord ) )
| ( TZE @ ( TZD @ fun ) @ ord ) ),
inference(simp,[status(thm)],[21074]) ).
thf(21076,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[21075:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) ))]]) ).
thf(21175,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ord )
!= ( TZF @ ord ) )
| ( TZF @ ( TZE @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21076,296]) ).
thf(21176,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ord )
!= ( TZF @ ord ) )
| ( TZF @ ( TZE @ fun ) @ ord ) ),
inference(simp,[status(thm)],[21175]) ).
thf(21177,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[21176:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) ))]]) ).
thf(21451,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ord )
!= ( TZG @ ord ) )
| ( TZG @ ( TZF @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21177,296]) ).
thf(21452,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ord )
!= ( TZG @ ord ) )
| ( TZG @ ( TZF @ fun ) @ ord ) ),
inference(simp,[status(thm)],[21451]) ).
thf(21453,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[21452:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) ))]]) ).
thf(22781,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ord )
!= ( TZH @ ord ) )
| ( TZH @ ( TZG @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21453,296]) ).
thf(22782,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ord )
!= ( TZH @ ord ) )
| ( TZH @ ( TZG @ fun ) @ ord ) ),
inference(simp,[status(thm)],[22781]) ).
thf(22783,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[22782:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) ))]]) ).
thf(23105,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ord )
!= ( TZI @ ord ) )
| ( TZI @ ( TZH @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22783,296]) ).
thf(23106,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ord )
!= ( TZI @ ord ) )
| ( TZI @ ( TZH @ fun ) @ ord ) ),
inference(simp,[status(thm)],[23105]) ).
thf(23107,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[23106:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) ))]]) ).
thf(24342,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ord )
!= ( TZJ @ ord ) )
| ( TZJ @ ( TZI @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23107,296]) ).
thf(24343,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ord )
!= ( TZJ @ ord ) )
| ( TZJ @ ( TZI @ fun ) @ ord ) ),
inference(simp,[status(thm)],[24342]) ).
thf(24344,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[24343:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) ))]]) ).
thf(24572,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ord )
!= ( TZK @ ord ) )
| ( TZK @ ( TZJ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24344,296]) ).
thf(24573,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ord )
!= ( TZK @ ord ) )
| ( TZK @ ( TZJ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[24572]) ).
thf(24574,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[24573:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) ))]]) ).
thf(25746,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ord )
!= ( TZL @ ord ) )
| ( TZL @ ( TZK @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24574,296]) ).
thf(25747,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ord )
!= ( TZL @ ord ) )
| ( TZL @ ( TZK @ fun ) @ ord ) ),
inference(simp,[status(thm)],[25746]) ).
thf(25748,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[25747:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) ))]]) ).
thf(25991,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ord )
!= ( TZM @ ord ) )
| ( TZM @ ( TZL @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25748,296]) ).
thf(25992,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ord )
!= ( TZM @ ord ) )
| ( TZM @ ( TZL @ fun ) @ ord ) ),
inference(simp,[status(thm)],[25991]) ).
thf(25993,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[25992:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) ))]]) ).
thf(27616,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ord )
!= ( TZN @ ord ) )
| ( TZN @ ( TZM @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25993,296]) ).
thf(27617,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ord )
!= ( TZN @ ord ) )
| ( TZN @ ( TZM @ fun ) @ ord ) ),
inference(simp,[status(thm)],[27616]) ).
thf(27618,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[27617:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) ))]]) ).
thf(33817,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ord )
!= ( TZO @ ord ) )
| ( TZO @ ( TZN @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27618,296]) ).
thf(33818,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ord )
!= ( TZO @ ord ) )
| ( TZO @ ( TZN @ fun ) @ ord ) ),
inference(simp,[status(thm)],[33817]) ).
thf(33819,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[33818:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) ))]]) ).
thf(34008,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ord )
!= ( TZP @ ord ) )
| ( TZP @ ( TZO @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33819,296]) ).
thf(34009,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ord )
!= ( TZP @ ord ) )
| ( TZP @ ( TZO @ fun ) @ ord ) ),
inference(simp,[status(thm)],[34008]) ).
thf(34010,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[34009:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) ))]]) ).
thf(38051,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ord )
!= ( TZQ @ ord ) )
| ( TZQ @ ( TZP @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34010,296]) ).
thf(38052,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ord )
!= ( TZQ @ ord ) )
| ( TZQ @ ( TZP @ fun ) @ ord ) ),
inference(simp,[status(thm)],[38051]) ).
thf(38053,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[38052:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) ))]]) ).
thf(38810,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ord )
!= ( TZR @ ord ) )
| ( TZR @ ( TZQ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38053,296]) ).
thf(38811,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ord )
!= ( TZR @ ord ) )
| ( TZR @ ( TZQ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[38810]) ).
thf(38812,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[38811:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) ))]]) ).
thf(39429,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ord )
!= ( TZS @ ord ) )
| ( TZS @ ( TZR @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38812,296]) ).
thf(39430,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ord )
!= ( TZS @ ord ) )
| ( TZS @ ( TZR @ fun ) @ ord ) ),
inference(simp,[status(thm)],[39429]) ).
thf(39431,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[39430:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) ))]]) ).
thf(40211,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ord )
!= ( TZT @ ord ) )
| ( TZT @ ( TZS @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39431,296]) ).
thf(40212,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ord )
!= ( TZT @ ord ) )
| ( TZT @ ( TZS @ fun ) @ ord ) ),
inference(simp,[status(thm)],[40211]) ).
thf(40213,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[40212:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) ))]]) ).
thf(40320,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ord )
!= ( TZU @ ord ) )
| ( TZU @ ( TZT @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40213,296]) ).
thf(40321,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ord )
!= ( TZU @ ord ) )
| ( TZU @ ( TZT @ fun ) @ ord ) ),
inference(simp,[status(thm)],[40320]) ).
thf(40322,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[40321:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) ))]]) ).
thf(40979,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ord )
!= ( TZV @ ord ) )
| ( TZV @ ( TZU @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40322,296]) ).
thf(40980,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ord )
!= ( TZV @ ord ) )
| ( TZV @ ( TZU @ fun ) @ ord ) ),
inference(simp,[status(thm)],[40979]) ).
thf(40981,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[40980:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) ))]]) ).
thf(41290,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ord )
!= ( TZW @ ord ) )
| ( TZW @ ( TZV @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40981,296]) ).
thf(41291,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ord )
!= ( TZW @ ord ) )
| ( TZW @ ( TZV @ fun ) @ ord ) ),
inference(simp,[status(thm)],[41290]) ).
thf(41292,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[41291:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) ))]]) ).
thf(41727,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ord )
!= ( TZX @ ord ) )
| ( TZX @ ( TZW @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41292,296]) ).
thf(41728,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ord )
!= ( TZX @ ord ) )
| ( TZX @ ( TZW @ fun ) @ ord ) ),
inference(simp,[status(thm)],[41727]) ).
thf(41729,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[41728:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) ))]]) ).
thf(42003,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ord )
!= ( TZY @ ord ) )
| ( TZY @ ( TZX @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41729,296]) ).
thf(42004,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ord )
!= ( TZY @ ord ) )
| ( TZY @ ( TZX @ fun ) @ ord ) ),
inference(simp,[status(thm)],[42003]) ).
thf(42005,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[42004:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) ))]]) ).
thf(40,axiom,
! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
<=> ( ( B = A )
| ( A @ ( B @ ( nat @ ord_less ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_le__eq__less__or__eq) ).
thf(267,plain,
! [A: nat,B: nat] :
( ( ( ( B = A )
| ( A @ ( B @ ( nat @ ord_less ) ) ) )
=> ( A @ ( B @ ( nat @ ord_less_eq ) ) ) )
& ( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
=> ( ( B = A )
| ( A @ ( B @ ( nat @ ord_less ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(268,plain,
( ! [A: nat,B: nat] :
( ( ( B = A )
| ( A @ ( B @ ( nat @ ord_less ) ) ) )
=> ( A @ ( B @ ( nat @ ord_less_eq ) ) ) )
& ! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
=> ( ( B = A )
| ( A @ ( B @ ( nat @ ord_less ) ) ) ) ) ),
inference(miniscope,[status(thm)],[267]) ).
thf(269,plain,
! [D: nat,C: nat,B: nat,A: nat] :
( ( ( C @ ( D @ ( nat @ ord_less_eq ) ) )
| ( D != C ) )
& ( ( C @ ( D @ ( nat @ ord_less_eq ) ) )
| ~ ( C @ ( D @ ( nat @ ord_less ) ) ) )
& ( ( B = A )
| ( A @ ( B @ ( nat @ ord_less ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ) ),
inference(cnf,[status(esa)],[268]) ).
thf(272,plain,
! [B: nat,A: nat] :
( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ( B != A ) ),
inference(cnfConj,[status(thm)],[269]) ).
thf(275,plain,
! [B: nat,A: nat] :
( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ( B != A ) ),
inference(lifteq,[status(thm)],[272]) ).
thf(276,plain,
! [A: nat] : ( A @ ( A @ ( nat @ ord_less_eq ) ) ),
inference(simp,[status(thm)],[275]) ).
thf(118,axiom,
! [TA: $tType,A: nat,B: TA @ huffma1450048681e_tree,C: TA,D: TA @ huffma1450048681e_tree] :
( ( D @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( ~ ( B @ ( TA @ huffma675207370phabet ) @ ( C @ ( TA @ member ) ) )
=> ( ( C @ ( D @ ( B @ ( A @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( C @ ( D @ ( TA @ huffma1401021291ibling ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_height__gt__0__notin__alphabet__imp__sibling__right) ).
thf(571,plain,
! [TA: $tType,A: nat,B: TA @ huffma1450048681e_tree,C: TA,D: TA @ huffma1450048681e_tree] :
( ( D @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( ~ ( B @ ( TA @ huffma675207370phabet ) @ ( C @ ( TA @ member ) ) )
=> ( ( C @ ( D @ ( B @ ( A @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( C @ ( D @ ( TA @ huffma1401021291ibling ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(572,plain,
! [TA: $tType,D: TA @ huffma1450048681e_tree,C: TA,B: TA @ huffma1450048681e_tree,A: nat] :
( ( ( C @ ( D @ ( B @ ( A @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( C @ ( D @ ( TA @ huffma1401021291ibling ) ) ) )
| ( B @ ( TA @ huffma675207370phabet ) @ ( C @ ( TA @ member ) ) )
| ~ ( D @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(cnf,[status(esa)],[571]) ).
thf(573,plain,
! [TA: $tType,D: TA @ huffma1450048681e_tree,C: TA,B: TA @ huffma1450048681e_tree,A: nat] :
( ( B @ ( TA @ huffma675207370phabet ) @ ( C @ ( TA @ member ) ) )
| ~ ( D @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( ( C @ ( D @ ( B @ ( A @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( C @ ( D @ ( TA @ huffma1401021291ibling ) ) ) ) ),
inference(lifteq,[status(thm)],[572]) ).
thf(58487,plain,
! [D: a1 @ huffma1450048681e_tree,C: a1,B: a1 @ huffma1450048681e_tree,A: nat] :
( ( ( C @ ( D @ ( B @ ( A @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( C @ ( D @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( B @ ( a1 @ huffma675207370phabet ) @ ( C @ ( a1 @ member ) ) )
| ~ ( D @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(paramod_ordered,[status(thm)],[573,133]) ).
thf(58488,plain,
( ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(pattern_uni,[status(thm)],[58487:[bind(A,$thf( w )),bind(B,$thf( t_1 )),bind(C,$thf( a )),bind(D,$thf( t_2 ))]]) ).
thf(58886,plain,
( ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(simp,[status(thm)],[58488]) ).
thf(60206,plain,
( ( ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ~ $true
| ~ ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(paramod_ordered,[status(thm)],[58886,44034]) ).
thf(60207,plain,
( ( ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ~ ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(simp,[status(thm)],[60206]) ).
thf(60208,plain,
~ ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ),
inference(pattern_uni,[status(thm)],[60207:[]]) ).
thf(60609,plain,
! [A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ~ $true
| ( A
= ( nat @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[330,60208]) ).
thf(60610,plain,
! [A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( t_2 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ( A
= ( nat @ zero_zero ) ) ),
inference(simp,[status(thm)],[60609]) ).
thf(60611,plain,
( ( t_2 @ ( a1 @ huffma945805758height ) )
= ( nat @ zero_zero ) ),
inference(pattern_uni,[status(thm)],[60610:[bind(A,$thf( t_2 @ ( a1 @ huffma945805758height ) ))]]) ).
thf(70,axiom,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( ( A @ ( TA @ huffma945805758height ) )
= ( nat @ zero_zero ) )
=> ( ( A @ ( TA @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_height__0__imp__cost__0) ).
thf(367,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( ( A @ ( TA @ huffma945805758height ) )
= ( nat @ zero_zero ) )
=> ( ( A @ ( TA @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(368,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( ( A @ ( TA @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) )
| ( ( A @ ( TA @ huffma945805758height ) )
!= ( nat @ zero_zero ) ) ),
inference(cnf,[status(esa)],[367]) ).
thf(369,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( ( A @ ( TA @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) )
| ( ( A @ ( TA @ huffma945805758height ) )
!= ( nat @ zero_zero ) ) ),
inference(lifteq,[status(thm)],[368]) ).
thf(61172,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( ( t_2 @ ( a1 @ huffma945805758height ) )
!= ( A @ ( TA @ huffma945805758height ) ) )
| ( ( A @ ( TA @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[60611,369]) ).
thf(61173,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( ( t_2 @ ( a1 @ huffma945805758height ) )
!= ( A @ ( TA @ huffma945805758height ) ) )
| ( ( A @ ( TA @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) ) ),
inference(simp,[status(thm)],[61172]) ).
thf(61174,plain,
( ( t_2 @ ( a1 @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) ),
inference(pattern_uni,[status(thm)],[61173:[bind(A,$thf( t_2 )),bind_type(TA,$thf( a1 ))]]) ).
thf(72,axiom,
! [A: bool @ ( nat @ fun ) @ ( nat @ fun ),B: nat,C: nat] :
( ( ( B @ ( C @ ( nat @ ord_less ) ) )
=> ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp ) )
=> ( ( ( C = B )
=> ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp ) )
=> ( ( ( C @ ( B @ ( nat @ ord_less ) ) )
=> ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp ) )
=> ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_nat__less__cases) ).
thf(373,plain,
! [A: bool @ ( nat @ fun ) @ ( nat @ fun ),B: nat,C: nat] :
( ( ( B @ ( C @ ( nat @ ord_less ) ) )
=> ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp ) )
=> ( ( ( C = B )
=> ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp ) )
=> ( ( ( C @ ( B @ ( nat @ ord_less ) ) )
=> ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp ) )
=> ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(374,plain,
! [C: nat,B: nat,A: bool @ ( nat @ fun ) @ ( nat @ fun )] :
( ( ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ~ ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ~ ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ~ ( A @ ( B @ ( C @ sk10 ) ) ) )
& ( ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ( C @ ( B @ ( nat @ ord_less ) ) )
| ~ ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ~ ( A @ ( B @ ( C @ sk10 ) ) ) )
& ( ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ~ ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ( C = B )
| ~ ( A @ ( B @ ( C @ sk10 ) ) ) )
& ( ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ( C @ ( B @ ( nat @ ord_less ) ) )
| ( C = B )
| ~ ( A @ ( B @ ( C @ sk10 ) ) ) )
& ( ( A @ ( B @ ( C @ sk10 ) ) )
| ~ ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp ) )
& ( ( A @ ( B @ ( C @ sk10 ) ) )
| ( B @ ( C @ ( nat @ ord_less ) ) ) ) ),
inference(cnf,[status(esa)],[373]) ).
thf(379,plain,
! [C: nat,B: nat,A: bool @ ( nat @ fun ) @ ( nat @ fun )] :
( ( A @ ( B @ ( C @ sk10 ) ) )
| ( B @ ( C @ ( nat @ ord_less ) ) ) ),
inference(cnfConj,[status(thm)],[374]) ).
thf(102,axiom,
! [TA: $tType] :
( ( TA @ linorder )
=> ! [A: TA,B: TA] :
( ( B @ ( A @ ( TA @ ord_less_eq ) ) )
| ( A @ ( B @ ( TA @ ord_less_eq ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_linorder__linear) ).
thf(510,plain,
! [TA: $tType] :
( ( TA @ linorder )
=> ! [A: TA,B: TA] :
( ( B @ ( A @ ( TA @ ord_less_eq ) ) )
| ( A @ ( B @ ( TA @ ord_less_eq ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(511,plain,
! [TA: $tType,B: TA,A: TA] :
( ( B @ ( A @ ( TA @ ord_less_eq ) ) )
| ( A @ ( B @ ( TA @ ord_less_eq ) ) )
| ~ ( TA @ linorder ) ),
inference(cnf,[status(esa)],[510]) ).
thf(120,axiom,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( A @ ( TA @ huffma1393970616ptimum ) )
<=> ! [B: TA @ huffma1450048681e_tree] :
( ( B @ ( TA @ huffma1518433673istent ) )
=> ( ( ( A @ ( TA @ huffma675207370phabet ) )
= ( B @ ( TA @ huffma675207370phabet ) ) )
=> ( ( ( A @ ( TA @ huffma1352802255e_freq ) )
= ( B @ ( TA @ huffma1352802255e_freq ) ) )
=> ( B @ ( TA @ huffma1134658180e_cost ) @ ( A @ ( TA @ huffma1134658180e_cost ) @ ( nat @ ord_less_eq ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_optimum__def) ).
thf(577,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( ! [B: TA @ huffma1450048681e_tree] :
( ( B @ ( TA @ huffma1518433673istent ) )
=> ( ( ( A @ ( TA @ huffma675207370phabet ) )
= ( B @ ( TA @ huffma675207370phabet ) ) )
=> ( ( ( A @ ( TA @ huffma1352802255e_freq ) )
= ( B @ ( TA @ huffma1352802255e_freq ) ) )
=> ( B @ ( TA @ huffma1134658180e_cost ) @ ( A @ ( TA @ huffma1134658180e_cost ) @ ( nat @ ord_less_eq ) ) ) ) ) )
=> ( A @ ( TA @ huffma1393970616ptimum ) ) )
& ( ( A @ ( TA @ huffma1393970616ptimum ) )
=> ! [B: TA @ huffma1450048681e_tree] :
( ( B @ ( TA @ huffma1518433673istent ) )
=> ( ( ( A @ ( TA @ huffma675207370phabet ) )
= ( B @ ( TA @ huffma675207370phabet ) ) )
=> ( ( ( A @ ( TA @ huffma1352802255e_freq ) )
= ( B @ ( TA @ huffma1352802255e_freq ) ) )
=> ( B @ ( TA @ huffma1134658180e_cost ) @ ( A @ ( TA @ huffma1134658180e_cost ) @ ( nat @ ord_less_eq ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(578,plain,
! [TA: $tType,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( ( A @ ( TA @ huffma1393970616ptimum ) )
| ~ ( A @ ( TA @ sk16 ) @ ( TA @ huffma1134658180e_cost ) @ ( A @ ( TA @ huffma1134658180e_cost ) @ ( nat @ ord_less_eq ) ) ) )
& ( ( A @ ( TA @ huffma1393970616ptimum ) )
| ( ( A @ ( TA @ huffma1352802255e_freq ) )
= ( A @ ( TA @ sk16 ) @ ( TA @ huffma1352802255e_freq ) ) ) )
& ( ( A @ ( TA @ huffma1393970616ptimum ) )
| ( ( A @ ( TA @ huffma675207370phabet ) )
= ( A @ ( TA @ sk16 ) @ ( TA @ huffma675207370phabet ) ) ) )
& ( ( A @ ( TA @ huffma1393970616ptimum ) )
| ( A @ ( TA @ sk16 ) @ ( TA @ huffma1518433673istent ) ) )
& ( ( B @ ( TA @ huffma1134658180e_cost ) @ ( A @ ( TA @ huffma1134658180e_cost ) @ ( nat @ ord_less_eq ) ) )
| ( ( A @ ( TA @ huffma1352802255e_freq ) )
!= ( B @ ( TA @ huffma1352802255e_freq ) ) )
| ( ( A @ ( TA @ huffma675207370phabet ) )
!= ( B @ ( TA @ huffma675207370phabet ) ) )
| ~ ( B @ ( TA @ huffma1518433673istent ) )
| ~ ( A @ ( TA @ huffma1393970616ptimum ) ) ) ),
inference(cnf,[status(esa)],[577]) ).
thf(582,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( A @ ( TA @ huffma1393970616ptimum ) )
| ( A @ ( TA @ sk16 ) @ ( TA @ huffma1518433673istent ) ) ),
inference(cnfConj,[status(thm)],[578]) ).
thf(33940,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ preorder )
!= ( TN @ preorder ) )
| ( TN @ ( TM @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27633,347]) ).
thf(33941,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ preorder )
!= ( TN @ preorder ) )
| ( TN @ ( TM @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[33940]) ).
thf(33942,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[33941:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) ))]]) ).
thf(37347,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ preorder )
!= ( TO @ preorder ) )
| ( TO @ ( TN @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33942,347]) ).
thf(37348,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ preorder )
!= ( TO @ preorder ) )
| ( TO @ ( TN @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[37347]) ).
thf(37349,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[37348:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) ))]]) ).
thf(38078,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ preorder )
!= ( TP @ preorder ) )
| ( TP @ ( TO @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37349,347]) ).
thf(38079,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ preorder )
!= ( TP @ preorder ) )
| ( TP @ ( TO @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[38078]) ).
thf(38080,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[38079:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) ))]]) ).
thf(38837,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ preorder )
!= ( TQ @ preorder ) )
| ( TQ @ ( TP @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38080,347]) ).
thf(38838,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ preorder )
!= ( TQ @ preorder ) )
| ( TQ @ ( TP @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[38837]) ).
thf(38839,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[38838:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) ))]]) ).
thf(39460,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ preorder )
!= ( TR @ preorder ) )
| ( TR @ ( TQ @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38839,347]) ).
thf(39461,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ preorder )
!= ( TR @ preorder ) )
| ( TR @ ( TQ @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[39460]) ).
thf(39462,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[39461:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) ))]]) ).
thf(40244,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ preorder )
!= ( TS @ preorder ) )
| ( TS @ ( TR @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39462,347]) ).
thf(40245,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ preorder )
!= ( TS @ preorder ) )
| ( TS @ ( TR @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[40244]) ).
thf(40246,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[40245:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) ))]]) ).
thf(40678,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ preorder )
!= ( TT @ preorder ) )
| ( TT @ ( TS @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40246,347]) ).
thf(40679,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ preorder )
!= ( TT @ preorder ) )
| ( TT @ ( TS @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[40678]) ).
thf(40680,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[40679:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) ))]]) ).
thf(41006,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ preorder )
!= ( TU @ preorder ) )
| ( TU @ ( TT @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40680,347]) ).
thf(41007,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ preorder )
!= ( TU @ preorder ) )
| ( TU @ ( TT @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[41006]) ).
thf(41008,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[41007:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) ))]]) ).
thf(41317,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ preorder )
!= ( TV @ preorder ) )
| ( TV @ ( TU @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41008,347]) ).
thf(41318,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ preorder )
!= ( TV @ preorder ) )
| ( TV @ ( TU @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[41317]) ).
thf(41319,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[41318:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) ))]]) ).
thf(41758,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ preorder )
!= ( TW @ preorder ) )
| ( TW @ ( TV @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41319,347]) ).
thf(41759,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ preorder )
!= ( TW @ preorder ) )
| ( TW @ ( TV @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[41758]) ).
thf(41760,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[41759:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) ))]]) ).
thf(42259,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ preorder )
!= ( TX @ preorder ) )
| ( TX @ ( TW @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41760,347]) ).
thf(42260,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ preorder )
!= ( TX @ preorder ) )
| ( TX @ ( TW @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[42259]) ).
thf(42261,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[42260:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) ))]]) ).
thf(42821,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ preorder )
!= ( TY @ preorder ) )
| ( TY @ ( TX @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42261,347]) ).
thf(42822,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ preorder )
!= ( TY @ preorder ) )
| ( TY @ ( TX @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[42821]) ).
thf(42823,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[42822:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) ))]]) ).
thf(44096,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ preorder )
!= ( TZ @ preorder ) )
| ( TZ @ ( TY @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42823,347]) ).
thf(44097,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ preorder )
!= ( TZ @ preorder ) )
| ( TZ @ ( TY @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[44096]) ).
thf(44098,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[44097:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) ))]]) ).
thf(44985,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ preorder )
!= ( TZA @ preorder ) )
| ( TZA @ ( TZ @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[44098,347]) ).
thf(44986,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ preorder )
!= ( TZA @ preorder ) )
| ( TZA @ ( TZ @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[44985]) ).
thf(44987,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[44986:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) ))]]) ).
thf(45941,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ preorder )
!= ( TZB @ preorder ) )
| ( TZB @ ( TZA @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[44987,347]) ).
thf(45942,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ preorder )
!= ( TZB @ preorder ) )
| ( TZB @ ( TZA @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[45941]) ).
thf(45943,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[45942:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) ))]]) ).
thf(47453,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ preorder )
!= ( TZC @ preorder ) )
| ( TZC @ ( TZB @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[45943,347]) ).
thf(47454,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ preorder )
!= ( TZC @ preorder ) )
| ( TZC @ ( TZB @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[47453]) ).
thf(47455,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[47454:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) ))]]) ).
thf(48468,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ preorder )
!= ( TZD @ preorder ) )
| ( TZD @ ( TZC @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[47455,347]) ).
thf(48469,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ preorder )
!= ( TZD @ preorder ) )
| ( TZD @ ( TZC @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[48468]) ).
thf(48470,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[48469:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) ))]]) ).
thf(49238,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ preorder )
!= ( TZE @ preorder ) )
| ( TZE @ ( TZD @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[48470,347]) ).
thf(49239,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ preorder )
!= ( TZE @ preorder ) )
| ( TZE @ ( TZD @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[49238]) ).
thf(49240,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[49239:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) ))]]) ).
thf(50221,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ preorder )
!= ( TZF @ preorder ) )
| ( TZF @ ( TZE @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[49240,347]) ).
thf(50222,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ preorder )
!= ( TZF @ preorder ) )
| ( TZF @ ( TZE @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[50221]) ).
thf(50223,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[50222:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) ))]]) ).
thf(50899,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ preorder )
!= ( TZG @ preorder ) )
| ( TZG @ ( TZF @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[50223,347]) ).
thf(50900,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ preorder )
!= ( TZG @ preorder ) )
| ( TZG @ ( TZF @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[50899]) ).
thf(50901,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[50900:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) ))]]) ).
thf(51966,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ preorder )
!= ( TZH @ preorder ) )
| ( TZH @ ( TZG @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[50901,347]) ).
thf(51967,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ preorder )
!= ( TZH @ preorder ) )
| ( TZH @ ( TZG @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[51966]) ).
thf(51968,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[51967:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) ))]]) ).
thf(53230,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ preorder )
!= ( TZI @ preorder ) )
| ( TZI @ ( TZH @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[51968,347]) ).
thf(53231,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ preorder )
!= ( TZI @ preorder ) )
| ( TZI @ ( TZH @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[53230]) ).
thf(53232,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[53231:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) ))]]) ).
thf(53774,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ preorder )
!= ( TZJ @ preorder ) )
| ( TZJ @ ( TZI @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[53232,347]) ).
thf(53775,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ preorder )
!= ( TZJ @ preorder ) )
| ( TZJ @ ( TZI @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[53774]) ).
thf(53776,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[53775:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) ))]]) ).
thf(54526,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ preorder )
!= ( TZK @ preorder ) )
| ( TZK @ ( TZJ @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[53776,347]) ).
thf(54527,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ preorder )
!= ( TZK @ preorder ) )
| ( TZK @ ( TZJ @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[54526]) ).
thf(54528,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[54527:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) ))]]) ).
thf(55130,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ preorder )
!= ( TZL @ preorder ) )
| ( TZL @ ( TZK @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54528,347]) ).
thf(55131,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ preorder )
!= ( TZL @ preorder ) )
| ( TZL @ ( TZK @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[55130]) ).
thf(55132,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[55131:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) ))]]) ).
thf(57526,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ preorder )
!= ( TZM @ preorder ) )
| ( TZM @ ( TZL @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[55132,347]) ).
thf(57527,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ preorder )
!= ( TZM @ preorder ) )
| ( TZM @ ( TZL @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[57526]) ).
thf(57528,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[57527:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) ))]]) ).
thf(58054,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ preorder )
!= ( TZN @ preorder ) )
| ( TZN @ ( TZM @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[57528,347]) ).
thf(58055,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ preorder )
!= ( TZN @ preorder ) )
| ( TZN @ ( TZM @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[58054]) ).
thf(58056,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[58055:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) ))]]) ).
thf(59012,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ preorder )
!= ( TZO @ preorder ) )
| ( TZO @ ( TZN @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[58056,347]) ).
thf(59013,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ preorder )
!= ( TZO @ preorder ) )
| ( TZO @ ( TZN @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[59012]) ).
thf(59014,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[59013:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) ))]]) ).
thf(59362,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ preorder )
!= ( TZP @ preorder ) )
| ( TZP @ ( TZO @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[59014,347]) ).
thf(59363,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ preorder )
!= ( TZP @ preorder ) )
| ( TZP @ ( TZO @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[59362]) ).
thf(59364,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[59363:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) ))]]) ).
thf(122,axiom,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ! [B: nat,C: TA] :
( A
!= ( C @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) ) )
=> ~ ! [B: nat,C: TA @ huffma1450048681e_tree,D: TA @ huffma1450048681e_tree] :
( A
!= ( D @ ( C @ ( B @ ( TA @ huffma1146269203erNode ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_tree_Oexhaust) ).
thf(597,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ! [B: nat,C: TA] :
( A
!= ( C @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) ) )
=> ~ ! [B: nat,C: TA @ huffma1450048681e_tree,D: TA @ huffma1450048681e_tree] :
( A
!= ( D @ ( C @ ( B @ ( TA @ huffma1146269203erNode ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(43,axiom,
! [TA: $tType,A: TA,B: TA @ huffma1450048681e_tree] : ( B @ ( TA @ huffma945805758height ) @ ( A @ ( B @ ( TA @ huffma410068972_depth ) ) @ ( nat @ ord_less_eq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_depth__le__height) ).
thf(282,plain,
! [TA: $tType,A: TA,B: TA @ huffma1450048681e_tree] : ( B @ ( TA @ huffma945805758height ) @ ( A @ ( B @ ( TA @ huffma410068972_depth ) ) @ ( nat @ ord_less_eq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(283,plain,
! [TA: $tType,B: TA @ huffma1450048681e_tree,A: TA] : ( B @ ( TA @ huffma945805758height ) @ ( A @ ( B @ ( TA @ huffma410068972_depth ) ) @ ( nat @ ord_less_eq ) ) ),
inference(cnf,[status(esa)],[282]) ).
thf(11,axiom,
! [A: nat,B: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) )
<=> ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_transfer__int__nat__relations_I3_J) ).
thf(151,plain,
! [A: nat,B: nat] :
( ( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
=> ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) )
& ( ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) )
=> ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(152,plain,
( ! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
=> ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) )
& ! [A: nat,B: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) )
=> ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ) ),
inference(miniscope,[status(thm)],[151]) ).
thf(153,plain,
! [D: nat,C: nat,B: nat,A: nat] :
( ( ( C @ ( int @ semiring_1_of_nat ) @ ( D @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) )
| ~ ( C @ ( D @ ( nat @ ord_less_eq ) ) ) )
& ( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ) ),
inference(cnf,[status(esa)],[152]) ).
thf(155,plain,
! [B: nat,A: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ),
inference(cnfConj,[status(thm)],[153]) ).
thf(156,plain,
! [B: nat,A: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ),
inference(simp,[status(thm)],[155]) ).
thf(1035,plain,
! [TA: $tType,D: nat,C: nat,B: TA @ huffma1450048681e_tree,A: TA] :
( ( ( B @ ( TA @ huffma945805758height ) @ ( A @ ( B @ ( TA @ huffma410068972_depth ) ) @ ( nat @ ord_less_eq ) ) )
!= ( C @ ( D @ ( nat @ ord_less_eq ) ) ) )
| ( C @ ( int @ semiring_1_of_nat ) @ ( D @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[283,156]) ).
thf(1036,plain,
! [TA: $tType,D: nat,C: nat,B: TA @ huffma1450048681e_tree,A: TA] :
( ( ( B @ ( TA @ huffma945805758height ) @ ( A @ ( B @ ( TA @ huffma410068972_depth ) ) @ ( nat @ ord_less_eq ) ) )
!= ( C @ ( D @ ( nat @ ord_less_eq ) ) ) )
| ( C @ ( int @ semiring_1_of_nat ) @ ( D @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ),
inference(simp,[status(thm)],[1035]) ).
thf(1037,plain,
! [TA: $tType,B: TA @ huffma1450048681e_tree,A: TA] : ( B @ ( TA @ huffma945805758height ) @ ( int @ semiring_1_of_nat ) @ ( A @ ( B @ ( TA @ huffma410068972_depth ) ) @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(pattern_uni,[status(thm)],[1036:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( G @ ( TA @ huffma945805758height ) )),bind(D,$thf( F @ ( G @ ( TA @ huffma410068972_depth ) ) ))]]) ).
thf(1041,plain,
! [TA: $tType,B: TA @ huffma1450048681e_tree,A: TA] : ( B @ ( TA @ huffma945805758height ) @ ( int @ semiring_1_of_nat ) @ ( A @ ( B @ ( TA @ huffma410068972_depth ) ) @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(simp,[status(thm)],[1037]) ).
thf(73,axiom,
! [A: nat] :
~ ( A @ ( A @ ( nat @ ord_less ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_less__irrefl__nat) ).
thf(384,plain,
! [A: nat] :
~ ( A @ ( A @ ( nat @ ord_less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(18,axiom,
! [A: nat,B: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) )
<=> ( A @ ( B @ ( nat @ ord_less ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_transfer__int__nat__relations_I2_J) ).
thf(176,plain,
! [A: nat,B: nat] :
( ( ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ) )
& ( ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) )
=> ( A @ ( B @ ( nat @ ord_less ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(177,plain,
( ! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ) )
& ! [A: nat,B: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) )
=> ( A @ ( B @ ( nat @ ord_less ) ) ) ) ),
inference(miniscope,[status(thm)],[176]) ).
thf(178,plain,
! [D: nat,C: nat,B: nat,A: nat] :
( ( ( C @ ( int @ semiring_1_of_nat ) @ ( D @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) )
| ~ ( C @ ( D @ ( nat @ ord_less ) ) ) )
& ( ( A @ ( B @ ( nat @ ord_less ) ) )
| ~ ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ) ) ),
inference(cnf,[status(esa)],[177]) ).
thf(179,plain,
! [B: nat,A: nat] :
( ( A @ ( B @ ( nat @ ord_less ) ) )
| ~ ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ) ),
inference(cnfConj,[status(thm)],[178]) ).
thf(1394,plain,
! [TA: $tType,C: nat,B: nat,A: nat] :
( ( ( A @ ( B @ ( nat @ ord_less ) ) )
!= ( TA @ zero_zero @ ( C @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) ) )
| ~ $true
| ~ ( TA @ linordered_semidom )
| ~ ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ) ),
inference(paramod_ordered,[status(thm)],[179,242]) ).
thf(1395,plain,
! [TA: $tType,C: nat,B: nat,A: nat] :
( ( ( A @ ( B @ ( nat @ ord_less ) ) )
!= ( TA @ zero_zero @ ( C @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) ) )
| ~ ( TA @ linordered_semidom )
| ~ ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ) ),
inference(simp,[status(thm)],[1394]) ).
thf(1396,plain,
! [A: nat] :
( ~ ( nat @ linordered_semidom )
| ~ ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ ( A @ ( nat @ semiring_1_of_nat ) @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ) ),
inference(pattern_uni,[status(thm)],[1395:[bind(A,$thf( nat @ zero_zero )),bind(B,$thf( D @ ( nat @ semiring_1_of_nat ) )),bind(C,$thf( D )),bind_type(TA,$thf( nat ))]]) ).
thf(1404,plain,
! [A: nat] :
( ~ ( nat @ linordered_semidom )
| ~ ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ ( A @ ( nat @ semiring_1_of_nat ) @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ) ),
inference(simp,[status(thm)],[1396]) ).
thf(23,axiom,
( ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) )
= ( int @ zero_zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_int__0) ).
thf(200,plain,
( ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) )
= ( int @ zero_zero ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(201,plain,
( ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) )
= ( int @ zero_zero ) ),
inference(lifteq,[status(thm)],[200]) ).
thf(2034,plain,
! [A: nat] :
( ~ $true
| ~ ( int @ zero_zero @ ( A @ ( nat @ semiring_1_of_nat ) @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ) ),
inference(rewrite,[status(thm)],[1404,240,201]) ).
thf(2035,plain,
! [A: nat] :
~ ( int @ zero_zero @ ( A @ ( nat @ semiring_1_of_nat ) @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ),
inference(simp,[status(thm)],[2034]) ).
thf(114,axiom,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: TA @ huffma1450048681e_tree] :
( ( B @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( ( B @ ( TA @ huffma1518433673istent ) )
=> ( ( ( B @ ( TA @ huffma675207370phabet ) )
= ( A @ ( TA @ huffma675207370phabet ) ) )
=> ( A @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_height__gt__0__alphabet__eq__imp__height__gt__0) ).
thf(550,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: TA @ huffma1450048681e_tree] :
( ( B @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( ( B @ ( TA @ huffma1518433673istent ) )
=> ( ( ( B @ ( TA @ huffma675207370phabet ) )
= ( A @ ( TA @ huffma675207370phabet ) ) )
=> ( A @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(5,axiom,
! [A: bool] :
( ( A = fFalse )
| ( A = fTrue ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_T) ).
thf(142,plain,
! [A: bool] :
( ( A = fFalse )
| ( A = fTrue ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(42335,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ord )
!= ( TZZ @ ord ) )
| ( TZZ @ ( TZY @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42005,296]) ).
thf(42336,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ord )
!= ( TZZ @ ord ) )
| ( TZZ @ ( TZY @ fun ) @ ord ) ),
inference(simp,[status(thm)],[42335]) ).
thf(42337,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[42336:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) ))]]) ).
thf(44069,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ord )
!= ( TZZA @ ord ) )
| ( TZZA @ ( TZZ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42337,296]) ).
thf(44070,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ord )
!= ( TZZA @ ord ) )
| ( TZZA @ ( TZZ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[44069]) ).
thf(44071,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[44070:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) ))]]) ).
thf(44958,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ord )
!= ( TZZB @ ord ) )
| ( TZZB @ ( TZZA @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[44071,296]) ).
thf(44959,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ord )
!= ( TZZB @ ord ) )
| ( TZZB @ ( TZZA @ fun ) @ ord ) ),
inference(simp,[status(thm)],[44958]) ).
thf(44960,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[44959:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) ))]]) ).
thf(45911,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ord )
!= ( TZZC @ ord ) )
| ( TZZC @ ( TZZB @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[44960,296]) ).
thf(45912,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ord )
!= ( TZZC @ ord ) )
| ( TZZC @ ( TZZB @ fun ) @ ord ) ),
inference(simp,[status(thm)],[45911]) ).
thf(45913,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[45912:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) ))]]) ).
thf(46437,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ord )
!= ( TZZD @ ord ) )
| ( TZZD @ ( TZZC @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[45913,296]) ).
thf(46438,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ord )
!= ( TZZD @ ord ) )
| ( TZZD @ ( TZZC @ fun ) @ ord ) ),
inference(simp,[status(thm)],[46437]) ).
thf(46439,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[46438:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) ))]]) ).
thf(47855,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ord )
!= ( TZZE @ ord ) )
| ( TZZE @ ( TZZD @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[46439,296]) ).
thf(47856,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ord )
!= ( TZZE @ ord ) )
| ( TZZE @ ( TZZD @ fun ) @ ord ) ),
inference(simp,[status(thm)],[47855]) ).
thf(47857,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[47856:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) ))]]) ).
thf(49211,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ord )
!= ( TZZF @ ord ) )
| ( TZZF @ ( TZZE @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[47857,296]) ).
thf(49212,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ord )
!= ( TZZF @ ord ) )
| ( TZZF @ ( TZZE @ fun ) @ ord ) ),
inference(simp,[status(thm)],[49211]) ).
thf(49213,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[49212:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) ))]]) ).
thf(50194,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ord )
!= ( TZZG @ ord ) )
| ( TZZG @ ( TZZF @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[49213,296]) ).
thf(50195,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ord )
!= ( TZZG @ ord ) )
| ( TZZG @ ( TZZF @ fun ) @ ord ) ),
inference(simp,[status(thm)],[50194]) ).
thf(50196,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[50195:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) ))]]) ).
thf(50869,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ord )
!= ( TZZH @ ord ) )
| ( TZZH @ ( TZZG @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[50196,296]) ).
thf(50870,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ord )
!= ( TZZH @ ord ) )
| ( TZZH @ ( TZZG @ fun ) @ ord ) ),
inference(simp,[status(thm)],[50869]) ).
thf(50871,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[50870:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) ))]]) ).
thf(51692,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ord )
!= ( TZZI @ ord ) )
| ( TZZI @ ( TZZH @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[50871,296]) ).
thf(51693,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ord )
!= ( TZZI @ ord ) )
| ( TZZI @ ( TZZH @ fun ) @ ord ) ),
inference(simp,[status(thm)],[51692]) ).
thf(51694,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[51693:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) ))]]) ).
thf(52042,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ord )
!= ( TZZJ @ ord ) )
| ( TZZJ @ ( TZZI @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[51694,296]) ).
thf(52043,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ord )
!= ( TZZJ @ ord ) )
| ( TZZJ @ ( TZZI @ fun ) @ ord ) ),
inference(simp,[status(thm)],[52042]) ).
thf(52044,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[52043:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) ))]]) ).
thf(53747,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ord )
!= ( TZZK @ ord ) )
| ( TZZK @ ( TZZJ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[52044,296]) ).
thf(53748,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ord )
!= ( TZZK @ ord ) )
| ( TZZK @ ( TZZJ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[53747]) ).
thf(53749,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[53748:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) ))]]) ).
thf(54499,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ord )
!= ( TZZL @ ord ) )
| ( TZZL @ ( TZZK @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[53749,296]) ).
thf(54500,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ord )
!= ( TZZL @ ord ) )
| ( TZZL @ ( TZZK @ fun ) @ ord ) ),
inference(simp,[status(thm)],[54499]) ).
thf(54501,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[54500:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) ))]]) ).
thf(54963,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ord )
!= ( TZZM @ ord ) )
| ( TZZM @ ( TZZL @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54501,296]) ).
thf(54964,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ord )
!= ( TZZM @ ord ) )
| ( TZZM @ ( TZZL @ fun ) @ ord ) ),
inference(simp,[status(thm)],[54963]) ).
thf(54965,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[54964:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) ))]]) ).
thf(57018,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ord )
!= ( TZZN @ ord ) )
| ( TZZN @ ( TZZM @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54965,296]) ).
thf(57019,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ord )
!= ( TZZN @ ord ) )
| ( TZZN @ ( TZZM @ fun ) @ ord ) ),
inference(simp,[status(thm)],[57018]) ).
thf(57020,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[57019:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) ))]]) ).
thf(57997,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ord )
!= ( TZZO @ ord ) )
| ( TZZO @ ( TZZN @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[57020,296]) ).
thf(57998,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ord )
!= ( TZZO @ ord ) )
| ( TZZO @ ( TZZN @ fun ) @ ord ) ),
inference(simp,[status(thm)],[57997]) ).
thf(57999,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[57998:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( TZZN )),bind_type(TZZO,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) ))]]) ).
thf(58985,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ord )
!= ( TZZP @ ord ) )
| ( TZZP @ ( TZZO @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[57999,296]) ).
thf(58986,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ord )
!= ( TZZP @ ord ) )
| ( TZZP @ ( TZZO @ fun ) @ ord ) ),
inference(simp,[status(thm)],[58985]) ).
thf(58987,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[58986:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( TZZN )),bind_type(TZZO,$thf( TZZO )),bind_type(TZZP,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) ))]]) ).
thf(59335,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ord )
!= ( TZZQ @ ord ) )
| ( TZZQ @ ( TZZP @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[58987,296]) ).
thf(59336,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ord )
!= ( TZZQ @ ord ) )
| ( TZZQ @ ( TZZP @ fun ) @ ord ) ),
inference(simp,[status(thm)],[59335]) ).
thf(59337,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[59336:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( TZZN )),bind_type(TZZO,$thf( TZZO )),bind_type(TZZP,$thf( TZZP )),bind_type(TZZQ,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) ))]]) ).
thf(119,axiom,
! [TA: $tType,A: TA,B: TA @ huffma1450048681e_tree] :
( ( ( B @ ( TA @ huffma945805758height ) )
= ( nat @ zero_zero ) )
=> ( ( A @ ( B @ ( TA @ huffma1401021291ibling ) ) )
= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_height__0__imp__sibling__id) ).
thf(574,plain,
! [TA: $tType,A: TA,B: TA @ huffma1450048681e_tree] :
( ( ( B @ ( TA @ huffma945805758height ) )
= ( nat @ zero_zero ) )
=> ( ( A @ ( B @ ( TA @ huffma1401021291ibling ) ) )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(575,plain,
! [TA: $tType,B: TA @ huffma1450048681e_tree,A: TA] :
( ( ( A @ ( B @ ( TA @ huffma1401021291ibling ) ) )
= A )
| ( ( B @ ( TA @ huffma945805758height ) )
!= ( nat @ zero_zero ) ) ),
inference(cnf,[status(esa)],[574]) ).
thf(576,plain,
! [TA: $tType,B: TA @ huffma1450048681e_tree,A: TA] :
( ( ( A @ ( B @ ( TA @ huffma1401021291ibling ) ) )
= A )
| ( ( B @ ( TA @ huffma945805758height ) )
!= ( nat @ zero_zero ) ) ),
inference(lifteq,[status(thm)],[575]) ).
thf(59065,plain,
! [B: a1 @ huffma1450048681e_tree,A: a1] :
( ( ( A @ ( B @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( t_2 != t_1 )
| ( A != a )
| ( ( B @ ( a1 @ huffma945805758height ) )
!= ( nat @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[576,54256]) ).
thf(59066,plain,
( ( t_2 != t_1 )
| ( a != a )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma945805758height ) )
!= ( nat @ zero_zero ) ) ),
inference(pattern_uni,[status(thm)],[59065:[bind(A,$thf( a )),bind(B,$thf( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) ))]]) ).
thf(59268,plain,
( ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma945805758height ) )
!= ( nat @ zero_zero ) ) ),
inference(simp,[status(thm)],[59066]) ).
thf(62,axiom,
! [TA: $tType,TB: $tType] :
( ( TB @ ord )
=> ! [A: TB @ ( TA @ fun ),B: TB @ ( TA @ fun )] :
( ( A @ ( B @ ( TB @ ( TA @ fun ) @ ord_less_eq ) ) )
<=> ! [C: TA] : ( C @ ( A @ ( TB @ ( TA @ aa ) ) ) @ ( C @ ( B @ ( TB @ ( TA @ aa ) ) ) @ ( TB @ ord_less_eq ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_le__fun__def) ).
thf(337,plain,
! [TA: $tType,TB: $tType] :
( ( TB @ ord )
=> ! [A: TB @ ( TA @ fun ),B: TB @ ( TA @ fun )] :
( ( ! [C: TA] : ( C @ ( A @ ( TB @ ( TA @ aa ) ) ) @ ( C @ ( B @ ( TB @ ( TA @ aa ) ) ) @ ( TB @ ord_less_eq ) ) )
=> ( A @ ( B @ ( TB @ ( TA @ fun ) @ ord_less_eq ) ) ) )
& ( ( A @ ( B @ ( TB @ ( TA @ fun ) @ ord_less_eq ) ) )
=> ! [C: TA] : ( C @ ( A @ ( TB @ ( TA @ aa ) ) ) @ ( C @ ( B @ ( TB @ ( TA @ aa ) ) ) @ ( TB @ ord_less_eq ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(338,plain,
! [TA: $tType,TB: $tType,C: TB,B: TA @ ( TB @ fun ),A: TA @ ( TB @ fun )] :
( ( ( A @ ( B @ ( TA @ ( TB @ fun ) @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( TA @ ( TB @ sk9 ) ) ) @ ( A @ ( TA @ ( TB @ aa ) ) ) @ ( A @ ( B @ ( TA @ ( TB @ sk9 ) ) ) @ ( B @ ( TA @ ( TB @ aa ) ) ) @ ( TA @ ord_less_eq ) ) )
| ~ ( TA @ ord ) )
& ( ( C @ ( A @ ( TA @ ( TB @ aa ) ) ) @ ( C @ ( B @ ( TA @ ( TB @ aa ) ) ) @ ( TA @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( TA @ ( TB @ fun ) @ ord_less_eq ) ) )
| ~ ( TA @ ord ) ) ),
inference(cnf,[status(esa)],[337]) ).
thf(340,plain,
! [TA: $tType,TB: $tType,B: TA @ ( TB @ fun ),A: TA @ ( TB @ fun )] :
( ( A @ ( B @ ( TA @ ( TB @ fun ) @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( TA @ ( TB @ sk9 ) ) ) @ ( A @ ( TA @ ( TB @ aa ) ) ) @ ( A @ ( B @ ( TA @ ( TB @ sk9 ) ) ) @ ( B @ ( TA @ ( TB @ aa ) ) ) @ ( TA @ ord_less_eq ) ) )
| ~ ( TA @ ord ) ),
inference(cnfConj,[status(thm)],[338]) ).
thf(110,axiom,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: TA @ huffma1450048681e_tree,C: nat,D: nat,E: TA @ huffma1450048681e_tree,F: TA] :
( ( ~ ( E @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
=> ( ( ~ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
=> ( ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( E @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= F ) )
& ( ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
=> ( ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( E @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) ) ) ) ) )
& ( ( E @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
=> ( ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( E @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( F @ ( E @ ( TA @ huffma1401021291ibling ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_sibling_Osimps_I4_J) ).
thf(532,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: TA @ huffma1450048681e_tree,C: nat,D: nat,E: TA @ huffma1450048681e_tree,F: TA] :
( ( ~ ( E @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
=> ( ( ~ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
=> ( ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( E @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= F ) )
& ( ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
=> ( ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( E @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) ) ) ) ) )
& ( ( E @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
=> ( ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( E @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( F @ ( E @ ( TA @ huffma1401021291ibling ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(533,plain,
! [TA: $tType,F: TA,E: TA @ huffma1450048681e_tree,D: nat,C: nat,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( ( ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( E @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= F )
| ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
| ( E @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) ) )
& ( ( ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( E @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) ) )
| ~ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
| ( E @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) ) )
& ( ( ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( E @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( F @ ( E @ ( TA @ huffma1401021291ibling ) ) ) )
| ~ ( E @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) ) ) ),
inference(cnf,[status(esa)],[532]) ).
thf(535,plain,
! [TA: $tType,F: TA,E: TA @ huffma1450048681e_tree,D: nat,C: nat,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( E @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) ) )
| ~ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
| ( E @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) ) ),
inference(cnfConj,[status(thm)],[533]) ).
thf(538,plain,
! [TA: $tType,F: TA,E: TA @ huffma1450048681e_tree,D: nat,C: nat,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ~ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
| ( E @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
| ( ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( E @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) ) ) ),
inference(lifteq,[status(thm)],[535]) ).
thf(78,axiom,
int @ zero_zero @ ( int @ zero_zero @ ( int @ ord_less_eq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J) ).
thf(409,plain,
int @ zero_zero @ ( int @ zero_zero @ ( int @ ord_less_eq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(17,axiom,
! [A: int] :
( ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
=> ~ ! [B: nat] :
( A
!= ( B @ ( int @ semiring_1_of_nat ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_nonneg__eq__int) ).
thf(172,plain,
! [A: int] :
( ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
=> ~ ! [B: nat] :
( A
!= ( B @ ( int @ semiring_1_of_nat ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(173,plain,
! [A: int] :
( ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
=> ~ ~ ? [B: nat] :
( A
= ( B @ ( int @ semiring_1_of_nat ) ) ) ),
inference(miniscope,[status(thm)],[172]) ).
thf(174,plain,
! [A: int] :
( ( A
= ( A @ sk1 @ ( int @ semiring_1_of_nat ) ) )
| ~ ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) ),
inference(cnf,[status(esa)],[173]) ).
thf(175,plain,
! [A: int] :
( ~ ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
| ( ( A @ sk1 @ ( int @ semiring_1_of_nat ) )
= A ) ),
inference(lifteq,[status(thm)],[174]) ).
thf(1076,plain,
! [A: int] :
( ( ( int @ zero_zero @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
!= ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) )
| ~ $true
| ( ( A @ sk1 @ ( int @ semiring_1_of_nat ) )
= A ) ),
inference(paramod_ordered,[status(thm)],[409,175]) ).
thf(1077,plain,
! [A: int] :
( ( ( int @ zero_zero @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
!= ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) )
| ( ( A @ sk1 @ ( int @ semiring_1_of_nat ) )
= A ) ),
inference(simp,[status(thm)],[1076]) ).
thf(1078,plain,
( ( int @ zero_zero @ sk1 @ ( int @ semiring_1_of_nat ) )
= ( int @ zero_zero ) ),
inference(pattern_uni,[status(thm)],[1077:[bind(A,$thf( int @ zero_zero ))]]) ).
thf(21,axiom,
! [TA: $tType] :
( ( TA @ linordered_semidom )
=> ! [A: nat,B: nat] :
( ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
<=> ( A @ ( B @ ( nat @ ord_less ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_of__nat__less__iff) ).
thf(189,plain,
! [TA: $tType] :
( ( TA @ linordered_semidom )
=> ! [A: nat,B: nat] :
( ( ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) ) )
& ( ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
=> ( A @ ( B @ ( nat @ ord_less ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(190,plain,
! [TA: $tType,B: nat,A: nat] :
( ( ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) )
& ( ( A @ ( B @ ( nat @ ord_less ) ) )
| ~ ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ) ),
inference(cnf,[status(esa)],[189]) ).
thf(191,plain,
! [TA: $tType,B: nat,A: nat] :
( ( A @ ( B @ ( nat @ ord_less ) ) )
| ~ ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(cnfConj,[status(thm)],[190]) ).
thf(2105,plain,
! [TA: $tType,C: nat,B: nat,A: nat] :
( ( ( A @ ( B @ ( nat @ ord_less ) ) )
!= ( nat @ zero_zero @ ( C @ ( nat @ ord_less ) ) ) )
| ~ $true
| ~ ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(paramod_ordered,[status(thm)],[191,316]) ).
thf(2106,plain,
! [TA: $tType,C: nat,B: nat,A: nat] :
( ( ( A @ ( B @ ( nat @ ord_less ) ) )
!= ( nat @ zero_zero @ ( C @ ( nat @ ord_less ) ) ) )
| ~ ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(simp,[status(thm)],[2105]) ).
thf(2107,plain,
! [TA: $tType,A: nat] :
( ~ ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) @ ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(pattern_uni,[status(thm)],[2106:[bind(A,$thf( nat @ zero_zero )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).
thf(2205,plain,
! [TA: $tType,A: nat] :
( ~ ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) @ ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(simp,[status(thm)],[2107]) ).
thf(2274,plain,
! [A: nat] :
( ( ( int @ zero_zero @ sk1 @ ( int @ semiring_1_of_nat ) )
!= ( A @ ( int @ semiring_1_of_nat ) ) )
| ~ ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) )
| ~ ( int @ linordered_semidom ) ),
inference(paramod_ordered,[status(thm)],[1078,2205]) ).
thf(2275,plain,
( ~ ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) )
| ~ ( int @ linordered_semidom ) ),
inference(pattern_uni,[status(thm)],[2274:[bind(A,$thf( int @ zero_zero @ sk1 ))]]) ).
thf(7,axiom,
int @ linordered_semidom,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Olinordered__semidom) ).
thf(147,plain,
int @ linordered_semidom,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2606,plain,
( ~ ( int @ zero_zero @ ( int @ zero_zero @ ( int @ ord_less ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[2275,147,201]) ).
thf(2607,plain,
~ ( int @ zero_zero @ ( int @ zero_zero @ ( int @ ord_less ) ) ),
inference(simp,[status(thm)],[2606]) ).
thf(43013,plain,
! [A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ $true
| ( A
= ( nat @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[330,42792]) ).
thf(43014,plain,
! [A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( A
= ( nat @ zero_zero ) ) ),
inference(simp,[status(thm)],[43013]) ).
thf(43015,plain,
( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( t_1 @ ( a1 @ huffma945805758height ) )
= ( nat @ zero_zero ) ) ),
inference(pattern_uni,[status(thm)],[43014:[bind(A,$thf( t_1 @ ( a1 @ huffma945805758height ) ))]]) ).
thf(43521,plain,
( ( ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ~ $true
| ( ( t_1 @ ( a1 @ huffma945805758height ) )
= ( nat @ zero_zero ) )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 ) ),
inference(paramod_ordered,[status(thm)],[617,43015]) ).
thf(43522,plain,
( ( ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ( ( t_1 @ ( a1 @ huffma945805758height ) )
= ( nat @ zero_zero ) )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 ) ),
inference(simp,[status(thm)],[43521]) ).
thf(43523,plain,
( ( ( t_1 @ ( a1 @ huffma945805758height ) )
= ( nat @ zero_zero ) )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 ) ),
inference(pattern_uni,[status(thm)],[43522:[]]) ).
thf(21063,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ord )
!= ( TZE @ ord ) )
| ( TZE @ ( TZD @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21012,296]) ).
thf(21064,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ord )
!= ( TZE @ ord ) )
| ( TZE @ ( TZD @ fun ) @ ord ) ),
inference(simp,[status(thm)],[21063]) ).
thf(21065,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[21064:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) ))]]) ).
thf(21160,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ord )
!= ( TZF @ ord ) )
| ( TZF @ ( TZE @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21065,296]) ).
thf(21161,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ord )
!= ( TZF @ ord ) )
| ( TZF @ ( TZE @ fun ) @ ord ) ),
inference(simp,[status(thm)],[21160]) ).
thf(21162,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[21161:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) ))]]) ).
thf(21438,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ord )
!= ( TZG @ ord ) )
| ( TZG @ ( TZF @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21162,296]) ).
thf(21439,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ord )
!= ( TZG @ ord ) )
| ( TZG @ ( TZF @ fun ) @ ord ) ),
inference(simp,[status(thm)],[21438]) ).
thf(21440,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[21439:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) ))]]) ).
thf(22770,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ord )
!= ( TZH @ ord ) )
| ( TZH @ ( TZG @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[21440,296]) ).
thf(22771,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ord )
!= ( TZH @ ord ) )
| ( TZH @ ( TZG @ fun ) @ ord ) ),
inference(simp,[status(thm)],[22770]) ).
thf(22772,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[22771:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) ))]]) ).
thf(23094,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ord )
!= ( TZI @ ord ) )
| ( TZI @ ( TZH @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22772,296]) ).
thf(23095,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ord )
!= ( TZI @ ord ) )
| ( TZI @ ( TZH @ fun ) @ ord ) ),
inference(simp,[status(thm)],[23094]) ).
thf(23096,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[23095:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) ))]]) ).
thf(24331,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ord )
!= ( TZJ @ ord ) )
| ( TZJ @ ( TZI @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23096,296]) ).
thf(24332,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ord )
!= ( TZJ @ ord ) )
| ( TZJ @ ( TZI @ fun ) @ ord ) ),
inference(simp,[status(thm)],[24331]) ).
thf(24333,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[24332:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) ))]]) ).
thf(24557,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ord )
!= ( TZK @ ord ) )
| ( TZK @ ( TZJ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24333,296]) ).
thf(24558,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ord )
!= ( TZK @ ord ) )
| ( TZK @ ( TZJ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[24557]) ).
thf(24559,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[24558:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) ))]]) ).
thf(24787,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ord )
!= ( TZL @ ord ) )
| ( TZL @ ( TZK @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24559,296]) ).
thf(24788,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ord )
!= ( TZL @ ord ) )
| ( TZL @ ( TZK @ fun ) @ ord ) ),
inference(simp,[status(thm)],[24787]) ).
thf(24789,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[24788:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) ))]]) ).
thf(25980,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ord )
!= ( TZM @ ord ) )
| ( TZM @ ( TZL @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24789,296]) ).
thf(25981,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ord )
!= ( TZM @ ord ) )
| ( TZM @ ( TZL @ fun ) @ ord ) ),
inference(simp,[status(thm)],[25980]) ).
thf(25982,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[25981:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) ))]]) ).
thf(27605,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ord )
!= ( TZN @ ord ) )
| ( TZN @ ( TZM @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25982,296]) ).
thf(27606,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ord )
!= ( TZN @ ord ) )
| ( TZN @ ( TZM @ fun ) @ ord ) ),
inference(simp,[status(thm)],[27605]) ).
thf(27607,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[27606:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) ))]]) ).
thf(33800,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ord )
!= ( TZO @ ord ) )
| ( TZO @ ( TZN @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27607,296]) ).
thf(33801,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ord )
!= ( TZO @ ord ) )
| ( TZO @ ( TZN @ fun ) @ ord ) ),
inference(simp,[status(thm)],[33800]) ).
thf(33802,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[33801:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) ))]]) ).
thf(33987,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ord )
!= ( TZP @ ord ) )
| ( TZP @ ( TZO @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33802,296]) ).
thf(33988,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ord )
!= ( TZP @ ord ) )
| ( TZP @ ( TZO @ fun ) @ ord ) ),
inference(simp,[status(thm)],[33987]) ).
thf(33989,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[33988:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) ))]]) ).
thf(37404,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ord )
!= ( TZQ @ ord ) )
| ( TZQ @ ( TZP @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[33989,296]) ).
thf(37405,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ord )
!= ( TZQ @ ord ) )
| ( TZQ @ ( TZP @ fun ) @ ord ) ),
inference(simp,[status(thm)],[37404]) ).
thf(37406,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[37405:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) ))]]) ).
thf(38791,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ord )
!= ( TZR @ ord ) )
| ( TZR @ ( TZQ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[37406,296]) ).
thf(38792,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ord )
!= ( TZR @ ord ) )
| ( TZR @ ( TZQ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[38791]) ).
thf(38793,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[38792:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) ))]]) ).
thf(39410,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ord )
!= ( TZS @ ord ) )
| ( TZS @ ( TZR @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[38793,296]) ).
thf(39411,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ord )
!= ( TZS @ ord ) )
| ( TZS @ ( TZR @ fun ) @ ord ) ),
inference(simp,[status(thm)],[39410]) ).
thf(39412,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[39411:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) ))]]) ).
thf(40192,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ord )
!= ( TZT @ ord ) )
| ( TZT @ ( TZS @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39412,296]) ).
thf(40193,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ord )
!= ( TZT @ ord ) )
| ( TZT @ ( TZS @ fun ) @ ord ) ),
inference(simp,[status(thm)],[40192]) ).
thf(40194,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[40193:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) ))]]) ).
thf(40297,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ord )
!= ( TZU @ ord ) )
| ( TZU @ ( TZT @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40194,296]) ).
thf(40298,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ord )
!= ( TZU @ ord ) )
| ( TZU @ ( TZT @ fun ) @ ord ) ),
inference(simp,[status(thm)],[40297]) ).
thf(40299,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[40298:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) ))]]) ).
thf(40735,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ord )
!= ( TZV @ ord ) )
| ( TZV @ ( TZU @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40299,296]) ).
thf(40736,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ord )
!= ( TZV @ ord ) )
| ( TZV @ ( TZU @ fun ) @ ord ) ),
inference(simp,[status(thm)],[40735]) ).
thf(40737,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[40736:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) ))]]) ).
thf(41271,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ord )
!= ( TZW @ ord ) )
| ( TZW @ ( TZV @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[40737,296]) ).
thf(41272,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ord )
!= ( TZW @ ord ) )
| ( TZW @ ( TZV @ fun ) @ ord ) ),
inference(simp,[status(thm)],[41271]) ).
thf(41273,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[41272:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) ))]]) ).
thf(41708,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ord )
!= ( TZX @ ord ) )
| ( TZX @ ( TZW @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41273,296]) ).
thf(41709,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ord )
!= ( TZX @ ord ) )
| ( TZX @ ( TZW @ fun ) @ ord ) ),
inference(simp,[status(thm)],[41708]) ).
thf(41710,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[41709:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) ))]]) ).
thf(41984,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ord )
!= ( TZY @ ord ) )
| ( TZY @ ( TZX @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41710,296]) ).
thf(41985,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ord )
!= ( TZY @ ord ) )
| ( TZY @ ( TZX @ fun ) @ ord ) ),
inference(simp,[status(thm)],[41984]) ).
thf(41986,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[41985:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) ))]]) ).
thf(42312,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ord )
!= ( TZZ @ ord ) )
| ( TZZ @ ( TZY @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41986,296]) ).
thf(42313,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ord )
!= ( TZZ @ ord ) )
| ( TZZ @ ( TZY @ fun ) @ ord ) ),
inference(simp,[status(thm)],[42312]) ).
thf(42314,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[42313:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) ))]]) ).
thf(43422,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ord )
!= ( TZZA @ ord ) )
| ( TZZA @ ( TZZ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42314,296]) ).
thf(43423,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ord )
!= ( TZZA @ ord ) )
| ( TZZA @ ( TZZ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[43422]) ).
thf(43424,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[43423:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) ))]]) ).
thf(44939,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ord )
!= ( TZZB @ ord ) )
| ( TZZB @ ( TZZA @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[43424,296]) ).
thf(44940,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ord )
!= ( TZZB @ ord ) )
| ( TZZB @ ( TZZA @ fun ) @ ord ) ),
inference(simp,[status(thm)],[44939]) ).
thf(44941,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[44940:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) ))]]) ).
thf(45892,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ord )
!= ( TZZC @ ord ) )
| ( TZZC @ ( TZZB @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[44941,296]) ).
thf(45893,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ord )
!= ( TZZC @ ord ) )
| ( TZZC @ ( TZZB @ fun ) @ ord ) ),
inference(simp,[status(thm)],[45892]) ).
thf(45894,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[45893:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) ))]]) ).
thf(46418,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ord )
!= ( TZZD @ ord ) )
| ( TZZD @ ( TZZC @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[45894,296]) ).
thf(46419,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ord )
!= ( TZZD @ ord ) )
| ( TZZD @ ( TZZC @ fun ) @ ord ) ),
inference(simp,[status(thm)],[46418]) ).
thf(46420,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[46419:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) ))]]) ).
thf(42020,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ preorder )
!= ( TX @ preorder ) )
| ( TX @ ( TW @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41742,347]) ).
thf(42021,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ preorder )
!= ( TX @ preorder ) )
| ( TX @ ( TW @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[42020]) ).
thf(42022,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[42021:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) ))]]) ).
thf(42807,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ preorder )
!= ( TY @ preorder ) )
| ( TY @ ( TX @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42022,347]) ).
thf(42808,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ preorder )
!= ( TY @ preorder ) )
| ( TY @ ( TX @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[42807]) ).
thf(42809,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[42808:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) ))]]) ).
thf(44082,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ preorder )
!= ( TZ @ preorder ) )
| ( TZ @ ( TY @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[42809,347]) ).
thf(44083,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ preorder )
!= ( TZ @ preorder ) )
| ( TZ @ ( TY @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[44082]) ).
thf(44084,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[44083:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) ))]]) ).
thf(44971,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ preorder )
!= ( TZA @ preorder ) )
| ( TZA @ ( TZ @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[44084,347]) ).
thf(44972,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ preorder )
!= ( TZA @ preorder ) )
| ( TZA @ ( TZ @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[44971]) ).
thf(44973,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[44972:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) ))]]) ).
thf(45924,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ preorder )
!= ( TZB @ preorder ) )
| ( TZB @ ( TZA @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[44973,347]) ).
thf(45925,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ preorder )
!= ( TZB @ preorder ) )
| ( TZB @ ( TZA @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[45924]) ).
thf(45926,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[45925:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) ))]]) ).
thf(46722,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ preorder )
!= ( TZC @ preorder ) )
| ( TZC @ ( TZB @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[45926,347]) ).
thf(46723,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ preorder )
!= ( TZC @ preorder ) )
| ( TZC @ ( TZB @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[46722]) ).
thf(46724,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[46723:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) ))]]) ).
thf(48454,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ preorder )
!= ( TZD @ preorder ) )
| ( TZD @ ( TZC @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[46724,347]) ).
thf(48455,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ preorder )
!= ( TZD @ preorder ) )
| ( TZD @ ( TZC @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[48454]) ).
thf(48456,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[48455:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) ))]]) ).
thf(49224,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ preorder )
!= ( TZE @ preorder ) )
| ( TZE @ ( TZD @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[48456,347]) ).
thf(49225,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ preorder )
!= ( TZE @ preorder ) )
| ( TZE @ ( TZD @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[49224]) ).
thf(49226,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[49225:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) ))]]) ).
thf(50207,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ preorder )
!= ( TZF @ preorder ) )
| ( TZF @ ( TZE @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[49226,347]) ).
thf(50208,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ preorder )
!= ( TZF @ preorder ) )
| ( TZF @ ( TZE @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[50207]) ).
thf(50209,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[50208:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) ))]]) ).
thf(50882,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ preorder )
!= ( TZG @ preorder ) )
| ( TZG @ ( TZF @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[50209,347]) ).
thf(50883,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ preorder )
!= ( TZG @ preorder ) )
| ( TZG @ ( TZF @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[50882]) ).
thf(50884,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[50883:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) ))]]) ).
thf(51707,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ preorder )
!= ( TZH @ preorder ) )
| ( TZH @ ( TZG @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[50884,347]) ).
thf(51708,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ preorder )
!= ( TZH @ preorder ) )
| ( TZH @ ( TZG @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[51707]) ).
thf(51709,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[51708:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) ))]]) ).
thf(53216,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ preorder )
!= ( TZI @ preorder ) )
| ( TZI @ ( TZH @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[51709,347]) ).
thf(53217,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ preorder )
!= ( TZI @ preorder ) )
| ( TZI @ ( TZH @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[53216]) ).
thf(53218,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[53217:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) ))]]) ).
thf(53760,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ preorder )
!= ( TZJ @ preorder ) )
| ( TZJ @ ( TZI @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[53218,347]) ).
thf(53761,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ preorder )
!= ( TZJ @ preorder ) )
| ( TZJ @ ( TZI @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[53760]) ).
thf(53762,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[53761:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) ))]]) ).
thf(54512,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ preorder )
!= ( TZK @ preorder ) )
| ( TZK @ ( TZJ @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[53762,347]) ).
thf(54513,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ preorder )
!= ( TZK @ preorder ) )
| ( TZK @ ( TZJ @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[54512]) ).
thf(54514,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[54513:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) ))]]) ).
thf(51980,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ preorder )
!= ( TZH @ preorder ) )
| ( TZH @ ( TZG @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[51636,347]) ).
thf(51981,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ preorder )
!= ( TZH @ preorder ) )
| ( TZH @ ( TZG @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[51980]) ).
thf(51982,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[51981:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) ))]]) ).
thf(53244,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ preorder )
!= ( TZI @ preorder ) )
| ( TZI @ ( TZH @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[51982,347]) ).
thf(53245,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ preorder )
!= ( TZI @ preorder ) )
| ( TZI @ ( TZH @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[53244]) ).
thf(53246,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[53245:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) ))]]) ).
thf(53788,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ preorder )
!= ( TZJ @ preorder ) )
| ( TZJ @ ( TZI @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[53246,347]) ).
thf(53789,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ preorder )
!= ( TZJ @ preorder ) )
| ( TZJ @ ( TZI @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[53788]) ).
thf(53790,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[53789:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) ))]]) ).
thf(54818,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ preorder )
!= ( TZK @ preorder ) )
| ( TZK @ ( TZJ @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[53790,347]) ).
thf(54819,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ preorder )
!= ( TZK @ preorder ) )
| ( TZK @ ( TZJ @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[54818]) ).
thf(54820,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[54819:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) ))]]) ).
thf(56960,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ preorder )
!= ( TZL @ preorder ) )
| ( TZL @ ( TZK @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54820,347]) ).
thf(56961,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ preorder )
!= ( TZL @ preorder ) )
| ( TZL @ ( TZK @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[56960]) ).
thf(56962,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[56961:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) ))]]) ).
thf(57540,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ preorder )
!= ( TZM @ preorder ) )
| ( TZM @ ( TZL @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[56962,347]) ).
thf(57541,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ preorder )
!= ( TZM @ preorder ) )
| ( TZM @ ( TZL @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[57540]) ).
thf(57542,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[57541:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) ))]]) ).
thf(52,axiom,
! [A: nat,B: bool @ ( nat @ fun )] :
( ~ ( nat @ zero_zero @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
=> ( ( A @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
=> ? [C: nat] :
( ( C @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
& ! [D: nat] :
( ( C @ ( D @ ( nat @ ord_less ) ) )
=> ~ ( D @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp ) )
& ( A @ ( C @ ( nat @ ord_less_eq ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_ex__least__nat__le) ).
thf(298,plain,
! [A: nat,B: bool @ ( nat @ fun )] :
( ~ ( nat @ zero_zero @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
=> ( ( A @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
=> ? [C: nat] :
( ( C @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
& ! [D: nat] :
( ( C @ ( D @ ( nat @ ord_less ) ) )
=> ~ ( D @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp ) )
& ( A @ ( C @ ( nat @ ord_less_eq ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(299,plain,
! [C: nat,B: bool @ ( nat @ fun ),A: nat] :
( ( ( A @ ( B @ sk6 ) @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ~ ( A @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ( nat @ zero_zero @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp ) )
& ( ~ ( C @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ~ ( A @ ( B @ sk6 ) @ ( C @ ( nat @ ord_less ) ) )
| ~ ( A @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ( nat @ zero_zero @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp ) )
& ( ( A @ ( A @ ( B @ sk6 ) @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ( nat @ zero_zero @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp ) ) ),
inference(cnf,[status(esa)],[298]) ).
thf(301,plain,
! [C: nat,B: bool @ ( nat @ fun ),A: nat] :
( ~ ( C @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ~ ( A @ ( B @ sk6 ) @ ( C @ ( nat @ ord_less ) ) )
| ~ ( A @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ( nat @ zero_zero @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp ) ),
inference(cnfConj,[status(thm)],[299]) ).
thf(57,axiom,
! [TA: $tType,TB: $tType,A: TB @ ( TA @ fun ),B: TB @ ( TA @ fun )] :
( ! [C: TA] :
( ( C @ ( B @ ( TB @ ( TA @ aa ) ) ) )
= ( C @ ( A @ ( TB @ ( TA @ aa ) ) ) ) )
=> ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_ext) ).
thf(320,plain,
! [TA: $tType,TB: $tType,A: TB @ ( TA @ fun ),B: TB @ ( TA @ fun )] :
( ! [C: TA] :
( ( C @ ( B @ ( TB @ ( TA @ aa ) ) ) )
= ( C @ ( A @ ( TB @ ( TA @ aa ) ) ) ) )
=> ( B = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(47506,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ord )
!= ( TZZE @ ord ) )
| ( TZZE @ ( TZZD @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[46420,296]) ).
thf(47507,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ord )
!= ( TZZE @ ord ) )
| ( TZZE @ ( TZZD @ fun ) @ ord ) ),
inference(simp,[status(thm)],[47506]) ).
thf(47508,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[47507:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) ))]]) ).
thf(48524,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ord )
!= ( TZZF @ ord ) )
| ( TZZF @ ( TZZE @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[47508,296]) ).
thf(48525,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ord )
!= ( TZZF @ ord ) )
| ( TZZF @ ( TZZE @ fun ) @ ord ) ),
inference(simp,[status(thm)],[48524]) ).
thf(48526,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[48525:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) ))]]) ).
thf(50175,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ord )
!= ( TZZG @ ord ) )
| ( TZZG @ ( TZZF @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[48526,296]) ).
thf(50176,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ord )
!= ( TZZG @ ord ) )
| ( TZZG @ ( TZZF @ fun ) @ ord ) ),
inference(simp,[status(thm)],[50175]) ).
thf(50177,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[50176:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) ))]]) ).
thf(50850,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ord )
!= ( TZZH @ ord ) )
| ( TZZH @ ( TZZG @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[50177,296]) ).
thf(50851,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ord )
!= ( TZZH @ ord ) )
| ( TZZH @ ( TZZG @ fun ) @ ord ) ),
inference(simp,[status(thm)],[50850]) ).
thf(50852,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[50851:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) ))]]) ).
thf(51673,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ord )
!= ( TZZI @ ord ) )
| ( TZZI @ ( TZZH @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[50852,296]) ).
thf(51674,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ord )
!= ( TZZI @ ord ) )
| ( TZZI @ ( TZZH @ fun ) @ ord ) ),
inference(simp,[status(thm)],[51673]) ).
thf(51675,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[51674:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) ))]]) ).
thf(52019,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ord )
!= ( TZZJ @ ord ) )
| ( TZZJ @ ( TZZI @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[51675,296]) ).
thf(52020,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ord )
!= ( TZZJ @ ord ) )
| ( TZZJ @ ( TZZI @ fun ) @ ord ) ),
inference(simp,[status(thm)],[52019]) ).
thf(52021,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[52020:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) ))]]) ).
thf(53287,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ord )
!= ( TZZK @ ord ) )
| ( TZZK @ ( TZZJ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[52021,296]) ).
thf(53288,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ord )
!= ( TZZK @ ord ) )
| ( TZZK @ ( TZZJ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[53287]) ).
thf(53289,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[53288:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) ))]]) ).
thf(54480,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ord )
!= ( TZZL @ ord ) )
| ( TZZL @ ( TZZK @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[53289,296]) ).
thf(54481,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ord )
!= ( TZZL @ ord ) )
| ( TZZL @ ( TZZK @ fun ) @ ord ) ),
inference(simp,[status(thm)],[54480]) ).
thf(54482,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[54481:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) ))]]) ).
thf(54944,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ord )
!= ( TZZM @ ord ) )
| ( TZZM @ ( TZZL @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54482,296]) ).
thf(54945,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ord )
!= ( TZZM @ ord ) )
| ( TZZM @ ( TZZL @ fun ) @ ord ) ),
inference(simp,[status(thm)],[54944]) ).
thf(54946,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[54945:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) ))]]) ).
thf(56999,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ord )
!= ( TZZN @ ord ) )
| ( TZZN @ ( TZZM @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54946,296]) ).
thf(57000,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ord )
!= ( TZZN @ ord ) )
| ( TZZN @ ( TZZM @ fun ) @ ord ) ),
inference(simp,[status(thm)],[56999]) ).
thf(57001,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[57000:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) ))]]) ).
thf(57579,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ord )
!= ( TZZO @ ord ) )
| ( TZZO @ ( TZZN @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[57001,296]) ).
thf(57580,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ord )
!= ( TZZO @ ord ) )
| ( TZZO @ ( TZZN @ fun ) @ ord ) ),
inference(simp,[status(thm)],[57579]) ).
thf(57581,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[57580:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( TZZN )),bind_type(TZZO,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) ))]]) ).
thf(58107,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ord )
!= ( TZZP @ ord ) )
| ( TZZP @ ( TZZO @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[57581,296]) ).
thf(58108,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ord )
!= ( TZZP @ ord ) )
| ( TZZP @ ( TZZO @ fun ) @ ord ) ),
inference(simp,[status(thm)],[58107]) ).
thf(58109,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[58108:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( TZZN )),bind_type(TZZO,$thf( TZZO )),bind_type(TZZP,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) ))]]) ).
thf(71,axiom,
! [TA: $tType,A: TA,B: nat] :
( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_cost_Osimps_I1_J) ).
thf(370,plain,
! [TA: $tType,A: TA,B: nat] :
( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(371,plain,
! [TA: $tType,B: nat,A: TA] :
( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) ),
inference(cnf,[status(esa)],[370]) ).
thf(372,plain,
! [TA: $tType,B: nat,A: TA] :
( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) ),
inference(lifteq,[status(thm)],[371]) ).
thf(99,axiom,
! [A: nat,B: nat] :
( ( B @ ( A @ ( nat @ ord_less_eq ) ) )
| ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_nat__le__linear) ).
thf(503,plain,
! [A: nat,B: nat] :
( ( B @ ( A @ ( nat @ ord_less_eq ) ) )
| ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(504,plain,
! [B: nat,A: nat] :
( ( B @ ( A @ ( nat @ ord_less_eq ) ) )
| ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ),
inference(cnf,[status(esa)],[503]) ).
thf(121,axiom,
! [TA: $tType,A: TA,B: nat,C: nat,D: nat,E: TA,F: TA] :
( ( ( F != E )
=> ( ( ( F != A )
=> ( ( F @ ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( E @ ( C @ ( TA @ huffma2021818691e_Leaf ) ) @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= F ) )
& ( ( F = A )
=> ( ( F @ ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( E @ ( C @ ( TA @ huffma2021818691e_Leaf ) ) @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= E ) ) ) )
& ( ( F = E )
=> ( ( F @ ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( E @ ( C @ ( TA @ huffma2021818691e_Leaf ) ) @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_sibling_Osimps_I2_J) ).
thf(587,plain,
! [TA: $tType,A: TA,B: nat,C: nat,D: nat,E: TA,F: TA] :
( ( ( F != E )
=> ( ( ( F != A )
=> ( ( F @ ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( E @ ( C @ ( TA @ huffma2021818691e_Leaf ) ) @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= F ) )
& ( ( F = A )
=> ( ( F @ ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( E @ ( C @ ( TA @ huffma2021818691e_Leaf ) ) @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= E ) ) ) )
& ( ( F = E )
=> ( ( F @ ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( E @ ( C @ ( TA @ huffma2021818691e_Leaf ) ) @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(75,axiom,
! [A: nat] :
( ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) )
<=> ( A
= ( nat @ zero_zero ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_int__le__0__conv) ).
thf(389,plain,
! [A: nat] :
( ( ( A
= ( nat @ zero_zero ) )
=> ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) )
& ( ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) )
=> ( A
= ( nat @ zero_zero ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(390,plain,
( ! [A: nat] :
( ( A
= ( nat @ zero_zero ) )
=> ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) )
& ! [A: nat] :
( ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) )
=> ( A
= ( nat @ zero_zero ) ) ) ),
inference(miniscope,[status(thm)],[389]) ).
thf(391,plain,
! [B: nat,A: nat] :
( ( ( int @ zero_zero @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) )
| ( B
!= ( nat @ zero_zero ) ) )
& ( ( A
= ( nat @ zero_zero ) )
| ~ ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ) ),
inference(cnf,[status(esa)],[390]) ).
thf(392,plain,
! [A: nat] :
( ( A
= ( nat @ zero_zero ) )
| ~ ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ),
inference(cnfConj,[status(thm)],[391]) ).
thf(394,plain,
! [A: nat] :
( ~ ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) )
| ( A
= ( nat @ zero_zero ) ) ),
inference(lifteq,[status(thm)],[392]) ).
thf(23549,plain,
! [A: nat] :
( ( A != w )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ),
inference(paramod_ordered,[status(thm)],[394,1345]) ).
thf(23550,plain,
! [A: nat] :
( ( A != w )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ),
inference(simp,[status(thm)],[23549]) ).
thf(23551,plain,
( ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( int @ zero_zero @ ( w @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ),
inference(pattern_uni,[status(thm)],[23550:[bind(A,$thf( w ))]]) ).
thf(12,axiom,
! [A: nat] :
~ ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_int__less__0__conv) ).
thf(157,plain,
! [A: nat] :
~ ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(111,axiom,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( A @ ( TA @ huffma1518433673istent ) )
=> ? [B: TA] :
( ( ( B @ ( A @ ( TA @ huffma410068972_depth ) ) )
= ( A @ ( TA @ huffma945805758height ) ) )
& ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_exists__at__height) ).
thf(540,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( A @ ( TA @ huffma1518433673istent ) )
=> ? [B: TA] :
( ( ( B @ ( A @ ( TA @ huffma410068972_depth ) ) )
= ( A @ ( TA @ huffma945805758height ) ) )
& ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(541,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( ( ( A @ ( TA @ sk15 ) @ ( A @ ( TA @ huffma410068972_depth ) ) )
= ( A @ ( TA @ huffma945805758height ) ) )
| ~ ( A @ ( TA @ huffma1518433673istent ) ) )
& ( ( A @ ( TA @ huffma675207370phabet ) @ ( A @ ( TA @ sk15 ) @ ( TA @ member ) ) )
| ~ ( A @ ( TA @ huffma1518433673istent ) ) ) ),
inference(cnf,[status(esa)],[540]) ).
thf(542,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( A @ ( TA @ huffma675207370phabet ) @ ( A @ ( TA @ sk15 ) @ ( TA @ member ) ) )
| ~ ( A @ ( TA @ huffma1518433673istent ) ) ),
inference(cnfConj,[status(thm)],[541]) ).
thf(86,axiom,
! [A: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) )
<=> ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_zero__less__int__conv) ).
thf(455,plain,
! [A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) ) )
& ( ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) )
=> ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(456,plain,
( ! [A: nat] :
( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) ) )
& ! [A: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) )
=> ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ) ),
inference(miniscope,[status(thm)],[455]) ).
thf(457,plain,
! [B: nat,A: nat] :
( ( ( B @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) )
| ~ ( B @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
& ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) ) ) ),
inference(cnf,[status(esa)],[456]) ).
thf(459,plain,
! [A: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) )
| ~ ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(cnfConj,[status(thm)],[457]) ).
thf(460,plain,
! [A: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) )
| ~ ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(simp,[status(thm)],[459]) ).
thf(116,axiom,
! [TA: $tType,A: bool @ ( TA @ fun ),B: TA] :
( ( A @ ( B @ ( TA @ member ) ) )
<=> ( B @ ( A @ ( bool @ ( TA @ aa ) ) ) @ pp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_mem__def) ).
thf(556,plain,
! [TA: $tType,A: bool @ ( TA @ fun ),B: TA] :
( ( ( B @ ( A @ ( bool @ ( TA @ aa ) ) ) @ pp )
=> ( A @ ( B @ ( TA @ member ) ) ) )
& ( ( A @ ( B @ ( TA @ member ) ) )
=> ( B @ ( A @ ( bool @ ( TA @ aa ) ) ) @ pp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(557,plain,
! [TA: $tType,B: TA,A: bool @ ( TA @ fun )] :
( ( ( A @ ( B @ ( TA @ member ) ) )
| ~ ( B @ ( A @ ( bool @ ( TA @ aa ) ) ) @ pp ) )
& ( ( B @ ( A @ ( bool @ ( TA @ aa ) ) ) @ pp )
| ~ ( A @ ( B @ ( TA @ member ) ) ) ) ),
inference(cnf,[status(esa)],[556]) ).
thf(559,plain,
! [TA: $tType,B: TA,A: bool @ ( TA @ fun )] :
( ( A @ ( B @ ( TA @ member ) ) )
| ~ ( B @ ( A @ ( bool @ ( TA @ aa ) ) ) @ pp ) ),
inference(cnfConj,[status(thm)],[557]) ).
thf(58068,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ preorder )
!= ( TZN @ preorder ) )
| ( TZN @ ( TZM @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[57542,347]) ).
thf(58069,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ preorder )
!= ( TZN @ preorder ) )
| ( TZN @ ( TZM @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[58068]) ).
thf(58070,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[58069:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) ))]]) ).
thf(44,axiom,
! [TA: $tType,TB: $tType,A: TA,B: nat,C: TB @ ( TB @ fun ) @ ( TB @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( nat @ fun ),D: TB @ ( TA @ fun ) @ ( nat @ fun )] :
( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( C @ ( D @ ( TB @ ( TA @ huffma1280178957ee_rec ) ) ) ) )
= ( A @ ( B @ ( D @ ( TB @ ( TA @ fun ) @ ( nat @ aa ) ) ) @ ( TB @ ( TA @ aa ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_tree_Orecs_I1_J) ).
thf(284,plain,
! [TA: $tType,TB: $tType,A: TA,B: nat,C: TB @ ( TB @ fun ) @ ( TB @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( nat @ fun ),D: TB @ ( TA @ fun ) @ ( nat @ fun )] :
( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( C @ ( D @ ( TB @ ( TA @ huffma1280178957ee_rec ) ) ) ) )
= ( A @ ( B @ ( D @ ( TB @ ( TA @ fun ) @ ( nat @ aa ) ) ) @ ( TB @ ( TA @ aa ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(28,axiom,
! [A: nat] : ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_zero__zle__int) ).
thf(228,plain,
! [A: nat] : ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(85,axiom,
! [TA: $tType,A: nat,B: TA,C: TA] :
( ( ( C != B )
=> ( ( C @ ( B @ ( A @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= ( nat @ zero_zero ) ) )
& ( ( C = B )
=> ( ( C @ ( B @ ( A @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_freq_Osimps_I1_J) ).
thf(448,plain,
! [TA: $tType,A: nat,B: TA,C: TA] :
( ( ( C != B )
=> ( ( C @ ( B @ ( A @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= ( nat @ zero_zero ) ) )
& ( ( C = B )
=> ( ( C @ ( B @ ( A @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(82,axiom,
! [TA: $tType,A: TA,B: TA,C: nat] :
( ( A @ ( B @ ( C @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma410068972_depth ) ) )
= ( nat @ zero_zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_depth_Osimps_I1_J) ).
thf(428,plain,
! [TA: $tType,A: TA,B: TA,C: nat] :
( ( A @ ( B @ ( C @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma410068972_depth ) ) )
= ( nat @ zero_zero ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(429,plain,
! [TA: $tType,C: nat,B: TA,A: TA] :
( ( A @ ( B @ ( C @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma410068972_depth ) ) )
= ( nat @ zero_zero ) ),
inference(cnf,[status(esa)],[428]) ).
thf(430,plain,
! [TA: $tType,C: nat,B: TA,A: TA] :
( ( A @ ( B @ ( C @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma410068972_depth ) ) )
= ( nat @ zero_zero ) ),
inference(lifteq,[status(thm)],[429]) ).
thf(1847,plain,
! [TA: $tType,TB: $tType,E: TB @ huffma1450048681e_tree,D: TB,C: nat,B: TA,A: TA] :
( ( ( A @ ( B @ ( C @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma410068972_depth ) ) )
!= ( D @ ( E @ ( TB @ huffma410068972_depth ) ) ) )
| ( E @ ( TB @ huffma945805758height ) @ ( int @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ),
inference(paramod_ordered,[status(thm)],[430,1041]) ).
thf(1848,plain,
! [TB: $tType,B: TB,A: nat] : ( B @ ( A @ ( TB @ huffma2021818691e_Leaf ) ) @ ( TB @ huffma945805758height ) @ ( int @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(pattern_uni,[status(thm)],[1847:[bind(A,$thf( A )),bind(B,$thf( G )),bind(C,$thf( F )),bind(D,$thf( A )),bind(E,$thf( G @ ( F @ ( TB @ huffma2021818691e_Leaf ) ) )),bind_type(TA,$thf( TB ))]]) ).
thf(1888,plain,
! [TA: $tType,B: TA,A: nat] : ( B @ ( A @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma945805758height ) @ ( int @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(simp,[status(thm)],[1848]) ).
thf(100,axiom,
! [TA: $tType,A: TA,B: nat] :
( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma945805758height ) )
= ( nat @ zero_zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_height_Osimps_I1_J) ).
thf(505,plain,
! [TA: $tType,A: TA,B: nat] :
( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma945805758height ) )
= ( nat @ zero_zero ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(506,plain,
! [TA: $tType,B: nat,A: TA] :
( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma945805758height ) )
= ( nat @ zero_zero ) ),
inference(cnf,[status(esa)],[505]) ).
thf(507,plain,
! [TA: $tType,B: nat,A: TA] :
( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma945805758height ) )
= ( nat @ zero_zero ) ),
inference(lifteq,[status(thm)],[506]) ).
thf(1891,plain,
nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less_eq ) ),
inference(rewrite,[status(thm)],[1888,201,507]) ).
thf(6317,plain,
! [A: int] :
( ( ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
!= ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) )
| ~ $true
| ( ( A @ sk2 @ ( int @ semiring_1_of_nat ) )
= A ) ),
inference(paramod_ordered,[status(thm)],[1891,249]) ).
thf(6318,plain,
! [A: int] :
( ( ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
!= ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) )
| ( ( A @ sk2 @ ( int @ semiring_1_of_nat ) )
= A ) ),
inference(simp,[status(thm)],[6317]) ).
thf(6319,plain,
( ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ sk2 @ ( int @ semiring_1_of_nat ) )
= ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) ) ),
inference(pattern_uni,[status(thm)],[6318:[bind(A,$thf( nat @ zero_zero @ ( int @ semiring_1_of_nat ) ))]]) ).
thf(6579,plain,
( ( int @ zero_zero @ sk2 @ ( int @ semiring_1_of_nat ) )
= ( int @ zero_zero ) ),
inference(rewrite,[status(thm)],[6319,201]) ).
thf(1051,plain,
! [B: int,A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
!= ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) )
| ~ $true
| ( ( B @ sk1 @ ( int @ semiring_1_of_nat ) )
= B ) ),
inference(paramod_ordered,[status(thm)],[170,175]) ).
thf(1052,plain,
! [B: int,A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
!= ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) )
| ( ( B @ sk1 @ ( int @ semiring_1_of_nat ) )
= B ) ),
inference(simp,[status(thm)],[1051]) ).
thf(1053,plain,
! [A: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ sk1 @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) ),
inference(pattern_uni,[status(thm)],[1052:[bind(A,$thf( C )),bind(B,$thf( C @ ( int @ semiring_1_of_nat ) ))]]) ).
thf(1115,plain,
! [A: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ sk1 @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) ),
inference(simp,[status(thm)],[1053]) ).
thf(58,axiom,
! [A: nat,B: bool @ ( nat @ fun )] :
( ( nat @ zero_zero @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
=> ( ! [C: nat] :
( ( C @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( ~ ( C @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
=> ? [D: nat] :
( ~ ( D @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
& ( C @ ( D @ ( nat @ ord_less ) ) ) ) ) )
=> ( A @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_infinite__descent0) ).
thf(323,plain,
! [A: nat,B: bool @ ( nat @ fun )] :
( ( nat @ zero_zero @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
=> ( ! [C: nat] :
( ( C @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( ~ ( C @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
=> ? [D: nat] :
( ~ ( D @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
& ( C @ ( D @ ( nat @ ord_less ) ) ) ) ) )
=> ( A @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(324,plain,
! [C: nat,B: bool @ ( nat @ fun ),A: nat] :
( ( ( A @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ( C @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ~ ( A @ ( B @ sk8 ) @ ( C @ ( nat @ ord_less ) ) )
| ~ ( nat @ zero_zero @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp ) )
& ( ( A @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ~ ( A @ ( B @ sk8 ) @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ~ ( nat @ zero_zero @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp ) )
& ( ( A @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ( A @ ( B @ sk8 ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ ( nat @ zero_zero @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp ) ) ),
inference(cnf,[status(esa)],[323]) ).
thf(325,plain,
! [B: bool @ ( nat @ fun ),A: nat] :
( ( A @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ( A @ ( B @ sk8 ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ ( nat @ zero_zero @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp ) ),
inference(cnfConj,[status(thm)],[324]) ).
thf(26,axiom,
! [TA: $tType] :
( ( TA @ linordered_semidom )
=> ! [A: nat,B: nat] :
( ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less_eq ) ) )
<=> ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_of__nat__le__iff) ).
thf(216,plain,
! [TA: $tType] :
( ( TA @ linordered_semidom )
=> ! [A: nat,B: nat] :
( ( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
=> ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less_eq ) ) ) )
& ( ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less_eq ) ) )
=> ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(94,axiom,
! [A: bool @ ( int @ fun )] :
( ? [B: int] :
( ( B @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
& ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) )
<=> ? [B: nat] : ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_transfer__int__nat__quantifiers_I2_J) ).
thf(486,plain,
! [A: bool @ ( int @ fun )] :
( ( ? [B: nat] : ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
=> ? [B: int] :
( ( B @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
& ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) ) )
& ( ? [B: int] :
( ( B @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
& ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) )
=> ? [B: nat] : ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(487,plain,
( ! [A: bool @ ( int @ fun )] :
( ? [B: nat] : ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
=> ? [B: int] :
( ( B @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
& ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) ) )
& ! [A: bool @ ( int @ fun )] :
( ? [B: int] :
( ( B @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
& ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) )
=> ? [B: nat] : ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ) ),
inference(miniscope,[status(thm)],[486]) ).
thf(488,plain,
! [D: nat,C: bool @ ( int @ fun ),B: int,A: bool @ ( int @ fun )] :
( ( ( C @ sk14 @ ( C @ ( bool @ ( int @ aa ) ) ) @ pp )
| ~ ( D @ ( int @ semiring_1_of_nat ) @ ( C @ ( bool @ ( int @ aa ) ) ) @ pp ) )
& ( ( C @ sk14 @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
| ~ ( D @ ( int @ semiring_1_of_nat ) @ ( C @ ( bool @ ( int @ aa ) ) ) @ pp ) )
& ( ( A @ sk13 @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
| ~ ( B @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
| ~ ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) ) ),
inference(cnf,[status(esa)],[487]) ).
thf(490,plain,
! [B: nat,A: bool @ ( int @ fun )] :
( ( A @ sk14 @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
| ~ ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ),
inference(cnfConj,[status(thm)],[488]) ).
thf(492,plain,
! [B: nat,A: bool @ ( int @ fun )] :
( ( A @ sk14 @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
| ~ ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ),
inference(simp,[status(thm)],[490]) ).
thf(59026,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ preorder )
!= ( TZO @ preorder ) )
| ( TZO @ ( TZN @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[58070,347]) ).
thf(59027,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ preorder )
!= ( TZO @ preorder ) )
| ( TZO @ ( TZN @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[59026]) ).
thf(59028,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[59027:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) ))]]) ).
thf(59048,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ord )
!= ( TZZP @ ord ) )
| ( TZZP @ ( TZZO @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[58090,296]) ).
thf(59049,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ord )
!= ( TZZP @ ord ) )
| ( TZZP @ ( TZZO @ fun ) @ ord ) ),
inference(simp,[status(thm)],[59048]) ).
thf(59050,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[59049:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( TZZN )),bind_type(TZZO,$thf( TZZO )),bind_type(TZZP,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) ))]]) ).
thf(59656,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ord )
!= ( TZZQ @ ord ) )
| ( TZZQ @ ( TZZP @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[59050,296]) ).
thf(59657,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ord )
!= ( TZZQ @ ord ) )
| ( TZZQ @ ( TZZP @ fun ) @ ord ) ),
inference(simp,[status(thm)],[59656]) ).
thf(59658,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[59657:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( TZZN )),bind_type(TZZO,$thf( TZZO )),bind_type(TZZP,$thf( TZZP )),bind_type(TZZQ,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) ))]]) ).
thf(60792,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType,TZZR: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ord )
!= ( TZZR @ ord ) )
| ( TZZR @ ( TZZQ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[59658,296]) ).
thf(60793,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType,TZZR: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ord )
!= ( TZZR @ ord ) )
| ( TZZR @ ( TZZQ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[60792]) ).
thf(60794,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ( TZZQ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[60793:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( TZZN )),bind_type(TZZO,$thf( TZZO )),bind_type(TZZP,$thf( TZZP )),bind_type(TZZQ,$thf( TZZQ )),bind_type(TZZR,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) ))]]) ).
thf(54976,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ preorder )
!= ( TZL @ preorder ) )
| ( TZL @ ( TZK @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54514,347]) ).
thf(54977,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ preorder )
!= ( TZL @ preorder ) )
| ( TZL @ ( TZK @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[54976]) ).
thf(54978,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[54977:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) ))]]) ).
thf(57484,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ preorder )
!= ( TZM @ preorder ) )
| ( TZM @ ( TZL @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[54978,347]) ).
thf(57485,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ preorder )
!= ( TZM @ preorder ) )
| ( TZM @ ( TZL @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[57484]) ).
thf(57486,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[57485:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) ))]]) ).
thf(58040,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ preorder )
!= ( TZN @ preorder ) )
| ( TZN @ ( TZM @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[57486,347]) ).
thf(58041,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ preorder )
!= ( TZN @ preorder ) )
| ( TZN @ ( TZM @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[58040]) ).
thf(58042,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[58041:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) ))]]) ).
thf(58998,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ preorder )
!= ( TZO @ preorder ) )
| ( TZO @ ( TZN @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[58042,347]) ).
thf(58999,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ preorder )
!= ( TZO @ preorder ) )
| ( TZO @ ( TZN @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[58998]) ).
thf(59000,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[58999:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) ))]]) ).
thf(66,axiom,
! [A: nat] : ( A @ ( nat @ zero_zero @ ( nat @ ord_less_eq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_le0) ).
thf(348,plain,
! [A: nat] : ( A @ ( nat @ zero_zero @ ( nat @ ord_less_eq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(76,axiom,
~ ( fFalse @ pp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_pp_1_1_U) ).
thf(397,plain,
~ ( fFalse @ pp ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(42,axiom,
! [A: nat,B: nat,C: nat] :
( ( B @ ( C @ ( nat @ ord_less_eq ) ) )
=> ( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
=> ( A @ ( C @ ( nat @ ord_less_eq ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_le__trans) ).
thf(280,plain,
! [A: nat,B: nat,C: nat] :
( ( B @ ( C @ ( nat @ ord_less_eq ) ) )
=> ( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
=> ( A @ ( C @ ( nat @ ord_less_eq ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(48,axiom,
nat @ zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat_Onat___Groups_Ozero) ).
thf(293,plain,
nat @ zero,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(449,plain,
! [TA: $tType,C: TA,B: TA,A: nat] :
( ( ( ( C @ ( B @ ( A @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= ( nat @ zero_zero ) )
| ( C = B ) )
& ( ( ( C @ ( B @ ( A @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= A )
| ( C != B ) ) ),
inference(cnf,[status(esa)],[448]) ).
thf(450,plain,
! [TA: $tType,C: TA,B: TA,A: nat] :
( ( ( C @ ( B @ ( A @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= A )
| ( C != B ) ),
inference(cnfConj,[status(thm)],[449]) ).
thf(452,plain,
! [TA: $tType,C: TA,B: TA,A: nat] :
( ( ( C @ ( B @ ( A @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= A )
| ( C != B ) ),
inference(lifteq,[status(thm)],[450]) ).
thf(453,plain,
! [TA: $tType,B: TA,A: nat] :
( ( B @ ( B @ ( A @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= A ),
inference(simp,[status(thm)],[452]) ).
thf(43538,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( ( t_1 @ ( a1 @ huffma945805758height ) )
!= ( A @ ( TA @ huffma945805758height ) ) )
| ( ( A @ ( TA @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) ),
inference(paramod_ordered,[status(thm)],[43015,369]) ).
thf(43539,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( ( t_1 @ ( a1 @ huffma945805758height ) )
!= ( A @ ( TA @ huffma945805758height ) ) )
| ( ( A @ ( TA @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) ),
inference(simp,[status(thm)],[43538]) ).
thf(43540,plain,
( ( ( t_1 @ ( a1 @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) ),
inference(pattern_uni,[status(thm)],[43539:[bind(A,$thf( t_1 )),bind_type(TA,$thf( a1 ))]]) ).
thf(44504,plain,
( ( ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ( ( t_1 @ ( a1 @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) )
| ~ $true
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 ) ),
inference(paramod_ordered,[status(thm)],[617,43540]) ).
thf(44505,plain,
( ( ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ( ( t_1 @ ( a1 @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 ) ),
inference(simp,[status(thm)],[44504]) ).
thf(44506,plain,
( ( ( t_1 @ ( a1 @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 ) ),
inference(pattern_uni,[status(thm)],[44505:[]]) ).
thf(59694,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType,TZZR: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ord )
!= ( TZZR @ ord ) )
| ( TZZR @ ( TZZQ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[59337,296]) ).
thf(59695,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType,TZZR: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ord )
!= ( TZZR @ ord ) )
| ( TZZR @ ( TZZQ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[59694]) ).
thf(59696,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ( TZZQ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[59695:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( TZZN )),bind_type(TZZO,$thf( TZZO )),bind_type(TZZP,$thf( TZZP )),bind_type(TZZQ,$thf( TZZQ )),bind_type(TZZR,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) ))]]) ).
thf(6288,plain,
! [A: int] :
( ( ( int @ zero_zero @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
!= ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) )
| ~ $true
| ( ( A @ sk2 @ ( int @ semiring_1_of_nat ) )
= A ) ),
inference(paramod_ordered,[status(thm)],[409,249]) ).
thf(6289,plain,
! [A: int] :
( ( ( int @ zero_zero @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
!= ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) )
| ( ( A @ sk2 @ ( int @ semiring_1_of_nat ) )
= A ) ),
inference(simp,[status(thm)],[6288]) ).
thf(6290,plain,
( ( int @ zero_zero @ sk2 @ ( int @ semiring_1_of_nat ) )
= ( int @ zero_zero ) ),
inference(pattern_uni,[status(thm)],[6289:[bind(A,$thf( int @ zero_zero ))]]) ).
thf(6496,plain,
! [A: nat] :
( ( ( int @ zero_zero @ sk2 @ ( int @ semiring_1_of_nat ) )
!= ( A @ ( int @ semiring_1_of_nat ) ) )
| ( A
= ( nat @ zero_zero ) )
| ( ( int @ zero_zero )
!= ( int @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[6290,207]) ).
thf(6497,plain,
! [A: nat] :
( ( ( int @ zero_zero @ sk2 @ ( int @ semiring_1_of_nat ) )
!= ( A @ ( int @ semiring_1_of_nat ) ) )
| ( A
= ( nat @ zero_zero ) ) ),
inference(simp,[status(thm)],[6496]) ).
thf(6498,plain,
( ( int @ zero_zero @ sk2 )
= ( nat @ zero_zero ) ),
inference(pattern_uni,[status(thm)],[6497:[bind(A,$thf( int @ zero_zero @ sk2 ))]]) ).
thf(33,axiom,
! [TA: $tType] :
( ( TA @ linordered_semidom )
=> ! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_less__imp__of__nat__less) ).
thf(243,plain,
! [TA: $tType] :
( ( TA @ linordered_semidom )
=> ! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(53,axiom,
! [A: int,B: int] :
( ( A @ ( B @ ( int @ ord_less ) ) )
<=> ( ( B != A )
& ( A @ ( B @ ( int @ ord_less_eq ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_less__int__def) ).
thf(303,plain,
! [A: int,B: int] :
( ( ( ( B != A )
& ( A @ ( B @ ( int @ ord_less_eq ) ) ) )
=> ( A @ ( B @ ( int @ ord_less ) ) ) )
& ( ( A @ ( B @ ( int @ ord_less ) ) )
=> ( ( B != A )
& ( A @ ( B @ ( int @ ord_less_eq ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(304,plain,
( ! [A: int,B: int] :
( ( ( B != A )
& ( A @ ( B @ ( int @ ord_less_eq ) ) ) )
=> ( A @ ( B @ ( int @ ord_less ) ) ) )
& ! [A: int,B: int] :
( ( A @ ( B @ ( int @ ord_less ) ) )
=> ( ( B != A )
& ( A @ ( B @ ( int @ ord_less_eq ) ) ) ) ) ),
inference(miniscope,[status(thm)],[303]) ).
thf(305,plain,
! [D: int,C: int,B: int,A: int] :
( ( ( C @ ( D @ ( int @ ord_less ) ) )
| ( D = C )
| ~ ( C @ ( D @ ( int @ ord_less_eq ) ) ) )
& ( ( B != A )
| ~ ( A @ ( B @ ( int @ ord_less ) ) ) )
& ( ( A @ ( B @ ( int @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( int @ ord_less ) ) ) ) ),
inference(cnf,[status(esa)],[304]) ).
thf(308,plain,
! [B: int,A: int] :
( ( A @ ( B @ ( int @ ord_less ) ) )
| ( B = A )
| ~ ( A @ ( B @ ( int @ ord_less_eq ) ) ) ),
inference(cnfConj,[status(thm)],[305]) ).
thf(311,plain,
! [B: int,A: int] :
( ( A @ ( B @ ( int @ ord_less ) ) )
| ~ ( A @ ( B @ ( int @ ord_less_eq ) ) )
| ( B = A ) ),
inference(lifteq,[status(thm)],[308]) ).
thf(312,plain,
! [B: int,A: int] :
( ( A @ ( B @ ( int @ ord_less ) ) )
| ~ ( A @ ( B @ ( int @ ord_less_eq ) ) )
| ( B = A ) ),
inference(simp,[status(thm)],[311]) ).
thf(1205,plain,
! [A: nat] :
( ( A != w )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(paramod_ordered,[status(thm)],[330,617]) ).
thf(1206,plain,
( ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(pattern_uni,[status(thm)],[1205:[bind(A,$thf( w ))]]) ).
thf(109,axiom,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: TA] :
( ~ ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) )
=> ( ( B @ ( A @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= ( nat @ zero_zero ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_notin__alphabet__imp__freq__0) ).
thf(529,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: TA] :
( ~ ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) )
=> ( ( B @ ( A @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= ( nat @ zero_zero ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(27,axiom,
! [A: nat,B: nat] :
( ( ( B @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) )
<=> ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_transfer__int__nat__relations_I1_J) ).
thf(220,plain,
! [A: nat,B: nat] :
( ( ( B = A )
=> ( ( B @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) ) )
& ( ( ( B @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) )
=> ( B = A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(5834,plain,
! [A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) @ sk1 @ ( int @ semiring_1_of_nat ) )
!= ( w @ ( int @ semiring_1_of_nat ) ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( int @ semiring_char_0 )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) ) ) ),
inference(paramod_ordered,[status(thm)],[1115,3205]) ).
thf(5903,plain,
! [A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) @ sk1 )
!= w )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( int @ semiring_char_0 )
| ( A
!= ( nat @ zero_zero ) ) ),
inference(simp,[status(thm)],[5834]) ).
thf(5917,plain,
( ( ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ sk1 )
!= w )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( int @ semiring_char_0 ) ),
inference(simp,[status(thm)],[5903]) ).
thf(19,axiom,
int @ semiring_char_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Nat_Osemiring__char__0) ).
thf(182,plain,
int @ semiring_char_0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(8480,plain,
( ( ( int @ zero_zero @ sk1 )
!= w )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ $true ),
inference(rewrite,[status(thm)],[5917,182,201]) ).
thf(8481,plain,
( ( ( int @ zero_zero @ sk1 )
!= w )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[8480]) ).
thf(47,axiom,
nat @ linorder,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat_Onat___Orderings_Olinorder) ).
thf(292,plain,
nat @ linorder,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(103,axiom,
! [TA: $tType,A: TA,B: nat] : ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1518433673istent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_consistent_Osimps_I1_J) ).
thf(512,plain,
! [TA: $tType,A: TA,B: nat] : ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1518433673istent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(84,axiom,
! [TA: $tType,A: TA,B: nat,C: TA,D: nat] :
( ( ( C @ ( D @ ( TA @ huffma2021818691e_Leaf ) ) )
= ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) ) )
<=> ( ( C = A )
& ( D = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_tree_Osimps_I1_J) ).
thf(439,plain,
! [TA: $tType,A: TA,B: nat,C: TA,D: nat] :
( ( ( ( C = A )
& ( D = B ) )
=> ( ( C @ ( D @ ( TA @ huffma2021818691e_Leaf ) ) )
= ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) ) ) )
& ( ( ( C @ ( D @ ( TA @ huffma2021818691e_Leaf ) ) )
= ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) ) )
=> ( ( C = A )
& ( D = B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(376,plain,
! [C: nat,B: nat,A: bool @ ( nat @ fun ) @ ( nat @ fun )] :
( ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ( C @ ( B @ ( nat @ ord_less ) ) )
| ( C = B )
| ~ ( A @ ( B @ ( C @ sk10 ) ) ) ),
inference(cnfConj,[status(thm)],[374]) ).
thf(381,plain,
! [C: nat,B: nat,A: bool @ ( nat @ fun ) @ ( nat @ fun )] :
( ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ( C @ ( B @ ( nat @ ord_less ) ) )
| ~ ( A @ ( B @ ( C @ sk10 ) ) )
| ( C = B ) ),
inference(lifteq,[status(thm)],[376]) ).
thf(61,axiom,
! [TA: $tType,A: TA,B: nat] :
( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1450048681e_tree @ size_size ) )
= ( nat @ zero_zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_tree_Osize_I3_J) ).
thf(334,plain,
! [TA: $tType,A: TA,B: nat] :
( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1450048681e_tree @ size_size ) )
= ( nat @ zero_zero ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(43043,plain,
! [TA: $tType,A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ $true
| ~ ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(paramod_ordered,[status(thm)],[290,42792]) ).
thf(43044,plain,
! [TA: $tType,A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(simp,[status(thm)],[43043]) ).
thf(43045,plain,
! [TA: $tType] :
( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ ( t_1 @ ( a1 @ huffma945805758height ) @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(pattern_uni,[status(thm)],[43044:[bind(A,$thf( t_1 @ ( a1 @ huffma945805758height ) ))]]) ).
thf(51,axiom,
nat @ semiring_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat_Onat___Rings_Osemiring__1) ).
thf(297,plain,
nat @ semiring_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(81,axiom,
! [A: nat,B: nat] :
( ( B = A )
=> ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_eq__imp__le) ).
thf(424,plain,
! [A: nat,B: nat] :
( ( B = A )
=> ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(192,plain,
! [TA: $tType,B: nat,A: nat] :
( ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(cnfConj,[status(thm)],[190]) ).
thf(646,plain,
( ( ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) ) ),
inference(simp,[status(thm)],[637]) ).
thf(768,plain,
( ( ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) ) ),
inference(eqfactor_ordered,[status(thm)],[646]) ).
thf(778,plain,
( ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( a != a )
| ( t_2 != t_1 ) ),
inference(simp,[status(thm)],[768]) ).
thf(788,plain,
( ( ( a @ ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( t_2 != t_1 ) ),
inference(simp,[status(thm)],[778]) ).
thf(302,plain,
! [B: bool @ ( nat @ fun ),A: nat] :
( ( A @ ( B @ sk6 ) @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ~ ( A @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ( nat @ zero_zero @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp ) ),
inference(cnfConj,[status(thm)],[299]) ).
thf(39,axiom,
! [A: bool @ ( int @ fun )] :
( ! [B: int] :
( ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
=> ( B @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) )
<=> ! [B: nat] : ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_transfer__int__nat__quantifiers_I1_J) ).
thf(260,plain,
! [A: bool @ ( int @ fun )] :
( ( ! [B: nat] : ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
=> ! [B: int] :
( ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
=> ( B @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ) )
& ( ! [B: int] :
( ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
=> ( B @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) )
=> ! [B: nat] : ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(349,plain,
! [A: nat] : ( A @ ( nat @ zero_zero @ ( nat @ ord_less_eq ) ) ),
inference(cnf,[status(esa)],[348]) ).
thf(780,plain,
( ( a != a )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( a != a )
| ( t_2 != t_1 ) ),
inference(simp,[status(thm)],[768]) ).
thf(790,plain,
( ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(simp,[status(thm)],[780]) ).
thf(1292,plain,
! [A: nat] :
( ( A != w )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(paramod_ordered,[status(thm)],[330,790]) ).
thf(1293,plain,
( ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(pattern_uni,[status(thm)],[1292:[bind(A,$thf( w ))]]) ).
thf(1487,plain,
! [A: nat] :
( ( ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( A @ ( A @ ( nat @ ord_less ) ) ) )
| ~ $true
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(paramod_ordered,[status(thm)],[1293,259]) ).
thf(1488,plain,
! [A: nat] :
( ( ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( A @ ( A @ ( nat @ ord_less ) ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(simp,[status(thm)],[1487]) ).
thf(1511,plain,
! [A: nat] :
( ( w != A )
| ( ( nat @ zero_zero )
!= A )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(simp,[status(thm)],[1488]) ).
thf(1513,plain,
( ( w
!= ( nat @ zero_zero ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(simp,[status(thm)],[1511]) ).
thf(24057,plain,
! [A: nat] :
( ( A != w )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ),
inference(paramod_ordered,[status(thm)],[394,1513]) ).
thf(24058,plain,
! [A: nat] :
( ( A != w )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ),
inference(simp,[status(thm)],[24057]) ).
thf(24059,plain,
( ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( int @ zero_zero @ ( w @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ),
inference(pattern_uni,[status(thm)],[24058:[bind(A,$thf( w ))]]) ).
thf(180,plain,
! [B: nat,A: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less ) ) ) ),
inference(cnfConj,[status(thm)],[178]) ).
thf(181,plain,
! [B: nat,A: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less ) ) ) ),
inference(simp,[status(thm)],[180]) ).
thf(1547,plain,
! [B: nat,A: nat] :
( ( ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( A @ ( B @ ( nat @ ord_less ) ) ) )
| ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) )
| ~ $true
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(paramod_ordered,[status(thm)],[1274,181]) ).
thf(1548,plain,
! [B: nat,A: nat] :
( ( ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( A @ ( B @ ( nat @ ord_less ) ) ) )
| ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[1547]) ).
thf(1549,plain,
( ( w @ ( int @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(pattern_uni,[status(thm)],[1548:[bind(A,$thf( w )),bind(B,$thf( nat @ zero_zero ))]]) ).
thf(2633,plain,
( ( w @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(rewrite,[status(thm)],[1549,201]) ).
thf(37,axiom,
! [A: int] :
( ( A @ ( int @ zero_zero @ ( int @ ord_less ) ) )
=> ? [B: nat] :
( ( A
= ( B @ ( int @ semiring_1_of_nat ) ) )
& ( B @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_zero__less__imp__eq__int) ).
thf(252,plain,
! [A: int] :
( ( A @ ( int @ zero_zero @ ( int @ ord_less ) ) )
=> ? [B: nat] :
( ( A
= ( B @ ( int @ semiring_1_of_nat ) ) )
& ( B @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(253,plain,
! [A: int] :
( ( ( A
= ( A @ sk3 @ ( int @ semiring_1_of_nat ) ) )
| ~ ( A @ ( int @ zero_zero @ ( int @ ord_less ) ) ) )
& ( ( A @ sk3 @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ ( A @ ( int @ zero_zero @ ( int @ ord_less ) ) ) ) ),
inference(cnf,[status(esa)],[252]) ).
thf(254,plain,
! [A: int] :
( ( A @ sk3 @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ ( A @ ( int @ zero_zero @ ( int @ ord_less ) ) ) ),
inference(cnfConj,[status(thm)],[253]) ).
thf(6829,plain,
! [A: int] :
( ( ( w @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) )
!= ( A @ ( int @ zero_zero @ ( int @ ord_less ) ) ) )
| ( A @ sk3 @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ $true
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(paramod_ordered,[status(thm)],[2633,254]) ).
thf(6830,plain,
! [A: int] :
( ( ( w @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) )
!= ( A @ ( int @ zero_zero @ ( int @ ord_less ) ) ) )
| ( A @ sk3 @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[6829]) ).
thf(6831,plain,
( ( w @ ( int @ semiring_1_of_nat ) @ sk3 @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(pattern_uni,[status(thm)],[6830:[bind(A,$thf( w @ ( int @ semiring_1_of_nat ) ))]]) ).
thf(8528,plain,
! [A: nat] :
( ( ( w @ ( int @ semiring_1_of_nat ) @ sk3 @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( nat @ zero_zero @ ( A @ ( nat @ ord_less ) ) ) )
| ~ $true
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(paramod_ordered,[status(thm)],[6831,316]) ).
thf(8529,plain,
! [A: nat] :
( ( ( w @ ( int @ semiring_1_of_nat ) @ sk3 @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( nat @ zero_zero @ ( A @ ( nat @ ord_less ) ) ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[8528]) ).
thf(8633,plain,
! [A: nat] :
( ( ( w @ ( int @ semiring_1_of_nat ) @ sk3 )
!= ( nat @ zero_zero ) )
| ( ( nat @ zero_zero )
!= A )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[8529]) ).
thf(8645,plain,
( ( ( w @ ( int @ semiring_1_of_nat ) @ sk3 )
!= ( nat @ zero_zero ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[8633]) ).
thf(90,axiom,
! [A: nat] :
~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_not__less0) ).
thf(467,plain,
! [A: nat] :
~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(117,axiom,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: TA @ huffma1450048681e_tree,C: nat,D: TA @ huffma1450048681e_tree,E: TA @ huffma1450048681e_tree,F: nat] :
( ( ( D @ ( E @ ( F @ ( TA @ huffma1146269203erNode ) ) ) )
= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) )
<=> ( ( D = A )
& ( E = B )
& ( F = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tree_Osimps_I2_J) ).
thf(560,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: TA @ huffma1450048681e_tree,C: nat,D: TA @ huffma1450048681e_tree,E: TA @ huffma1450048681e_tree,F: nat] :
( ( ( ( D = A )
& ( E = B )
& ( F = C ) )
=> ( ( D @ ( E @ ( F @ ( TA @ huffma1146269203erNode ) ) ) )
= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) ) )
& ( ( ( D @ ( E @ ( F @ ( TA @ huffma1146269203erNode ) ) ) )
= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) )
=> ( ( D = A )
& ( E = B )
& ( F = C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(561,plain,
! [TA: $tType,F: nat,E: TA @ huffma1450048681e_tree,D: TA @ huffma1450048681e_tree,C: nat,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( ( ( D @ ( E @ ( F @ ( TA @ huffma1146269203erNode ) ) ) )
= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) )
| ( D != A )
| ( E != B )
| ( F != C ) )
& ( ( D = A )
| ( ( D @ ( E @ ( F @ ( TA @ huffma1146269203erNode ) ) ) )
!= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) ) )
& ( ( E = B )
| ( ( D @ ( E @ ( F @ ( TA @ huffma1146269203erNode ) ) ) )
!= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) ) )
& ( ( F = C )
| ( ( D @ ( E @ ( F @ ( TA @ huffma1146269203erNode ) ) ) )
!= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[560]) ).
thf(562,plain,
! [TA: $tType,F: nat,E: TA @ huffma1450048681e_tree,D: TA @ huffma1450048681e_tree,C: nat,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( F = C )
| ( ( D @ ( E @ ( F @ ( TA @ huffma1146269203erNode ) ) ) )
!= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) ) ),
inference(cnfConj,[status(thm)],[561]) ).
thf(566,plain,
! [TA: $tType,F: nat,E: TA @ huffma1450048681e_tree,D: TA @ huffma1450048681e_tree,C: nat,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( F = C )
| ( ( D @ ( E @ ( F @ ( TA @ huffma1146269203erNode ) ) ) )
!= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) ) ),
inference(lifteq,[status(thm)],[562]) ).
thf(106,axiom,
! [TA: $tType,A: TA,B: TA,C: nat] :
( ( A @ ( B @ ( C @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1401021291ibling ) ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_sibling_Osimps_I1_J) ).
thf(520,plain,
! [TA: $tType,A: TA,B: TA,C: nat] :
( ( A @ ( B @ ( C @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1401021291ibling ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(521,plain,
! [TA: $tType,C: nat,B: TA,A: TA] :
( ( A @ ( B @ ( C @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1401021291ibling ) ) )
= A ),
inference(cnf,[status(esa)],[520]) ).
thf(522,plain,
! [TA: $tType,C: nat,B: TA,A: TA] :
( ( A @ ( B @ ( C @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1401021291ibling ) ) )
= A ),
inference(lifteq,[status(thm)],[521]) ).
thf(3091,plain,
! [TA: $tType,B: nat,A: nat] :
( ( B != w )
| ( A
!= ( nat @ zero_zero ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( TA @ semiring_char_0 )
| ( ( B @ ( TA @ semiring_1_of_nat ) )
!= ( A @ ( TA @ semiring_1_of_nat ) ) ) ),
inference(paramod_ordered,[status(thm)],[197,1513]) ).
thf(3092,plain,
! [TA: $tType,A: nat] :
( ( A
!= ( nat @ zero_zero ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( TA @ semiring_char_0 )
| ( ( w @ ( TA @ semiring_1_of_nat ) )
!= ( A @ ( TA @ semiring_1_of_nat ) ) ) ),
inference(pattern_uni,[status(thm)],[3091:[bind(A,$thf( A )),bind(B,$thf( w ))]]) ).
thf(3150,plain,
! [TA: $tType] :
( ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( TA @ semiring_char_0 )
| ( ( w @ ( TA @ semiring_1_of_nat ) )
!= ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) ) ) ),
inference(simp,[status(thm)],[3092]) ).
thf(4110,plain,
! [TA: $tType] :
( ( ( nat @ semiring_char_0 )
!= ( TA @ semiring_char_0 ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ $true
| ( ( w @ ( TA @ semiring_1_of_nat ) )
!= ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) ) ) ),
inference(paramod_ordered,[status(thm)],[481,3150]) ).
thf(4111,plain,
! [TA: $tType] :
( ( ( nat @ semiring_char_0 )
!= ( TA @ semiring_char_0 ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( w @ ( TA @ semiring_1_of_nat ) )
!= ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) ) ) ),
inference(simp,[status(thm)],[4110]) ).
thf(4112,plain,
( ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( w @ ( nat @ semiring_1_of_nat ) )
!= ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) ) ) ),
inference(pattern_uni,[status(thm)],[4111:[bind_type(TA,$thf( nat ))]]) ).
thf(12405,plain,
( ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( w @ ( nat @ semiring_1_of_nat ) )
!= ( nat @ zero_zero ) ) ),
inference(rewrite,[status(thm)],[4112,12331]) ).
thf(25400,plain,
! [A: nat] :
( ( A
!= ( w @ ( nat @ semiring_1_of_nat ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) )
| ~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less_eq ) ) ) ),
inference(paramod_ordered,[status(thm)],[415,12405]) ).
thf(25401,plain,
! [A: nat] :
( ( A
!= ( w @ ( nat @ semiring_1_of_nat ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less_eq ) ) ) ),
inference(simp,[status(thm)],[25400]) ).
thf(25402,plain,
( ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( nat @ zero_zero @ ( w @ ( nat @ semiring_1_of_nat ) @ ( nat @ ord_less_eq ) ) ) ),
inference(pattern_uni,[status(thm)],[25401:[bind(A,$thf( w @ ( nat @ semiring_1_of_nat ) ))]]) ).
thf(2310,plain,
! [TA: $tType,A: nat] :
( ( ( nat @ linordered_semidom )
!= ( TA @ linordered_semidom ) )
| ~ ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) @ ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[240,2205]) ).
thf(2311,plain,
! [TA: $tType,A: nat] :
( ( ( nat @ linordered_semidom )
!= ( TA @ linordered_semidom ) )
| ~ ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) @ ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) ) ),
inference(simp,[status(thm)],[2310]) ).
thf(2312,plain,
! [A: nat] :
~ ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( A @ ( nat @ semiring_1_of_nat ) @ ( nat @ ord_less ) ) ),
inference(pattern_uni,[status(thm)],[2311:[bind_type(TA,$thf( nat ))]]) ).
thf(2509,plain,
! [TA: $tType,C: nat,B: nat,A: nat] :
( ( ( A @ ( B @ ( nat @ ord_less ) ) )
!= ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( C @ ( nat @ semiring_1_of_nat ) @ ( nat @ ord_less ) ) ) )
| ~ $true
| ~ ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(paramod_ordered,[status(thm)],[191,2312]) ).
thf(2510,plain,
! [TA: $tType,C: nat,B: nat,A: nat] :
( ( ( A @ ( B @ ( nat @ ord_less ) ) )
!= ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( C @ ( nat @ semiring_1_of_nat ) @ ( nat @ ord_less ) ) ) )
| ~ ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(simp,[status(thm)],[2509]) ).
thf(2511,plain,
! [TA: $tType,A: nat] :
( ~ ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( TA @ semiring_1_of_nat ) @ ( A @ ( nat @ semiring_1_of_nat ) @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(pattern_uni,[status(thm)],[2510:[bind(A,$thf( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) )),bind(B,$thf( D @ ( nat @ semiring_1_of_nat ) )),bind(C,$thf( D ))]]) ).
thf(2535,plain,
! [TA: $tType,A: nat] :
( ~ ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( TA @ semiring_1_of_nat ) @ ( A @ ( nat @ semiring_1_of_nat ) @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(simp,[status(thm)],[2511]) ).
thf(8369,plain,
! [TA: $tType,A: nat] :
( ( ( nat @ linordered_semidom )
!= ( TA @ linordered_semidom ) )
| ~ ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( TA @ semiring_1_of_nat ) @ ( A @ ( nat @ semiring_1_of_nat ) @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[240,2535]) ).
thf(8370,plain,
! [TA: $tType,A: nat] :
( ( ( nat @ linordered_semidom )
!= ( TA @ linordered_semidom ) )
| ~ ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( TA @ semiring_1_of_nat ) @ ( A @ ( nat @ semiring_1_of_nat ) @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) ) ),
inference(simp,[status(thm)],[8369]) ).
thf(8371,plain,
! [A: nat] :
~ ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( nat @ semiring_1_of_nat ) @ ( A @ ( nat @ semiring_1_of_nat ) @ ( nat @ semiring_1_of_nat ) @ ( nat @ ord_less ) ) ),
inference(pattern_uni,[status(thm)],[8370:[bind_type(TA,$thf( nat ))]]) ).
thf(12402,plain,
! [A: nat] :
~ ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( A @ ( nat @ semiring_1_of_nat ) @ ( nat @ semiring_1_of_nat ) @ ( nat @ ord_less ) ) ),
inference(rewrite,[status(thm)],[8371,12331]) ).
thf(49267,plain,
! [A: nat] :
~ ( nat @ zero_zero @ ( A @ ( nat @ semiring_1_of_nat ) @ ( nat @ semiring_1_of_nat ) @ ( nat @ ord_less ) ) ),
inference(rewrite,[status(thm)],[12402,12331]) ).
thf(87,axiom,
bool @ linorder,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL_Obool___Orderings_Olinorder) ).
thf(461,plain,
bool @ linorder,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(57232,plain,
! [TA: $tType] :
( ( ( nat @ linordered_semidom )
!= ( TA @ linordered_semidom ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ ( t_1 @ ( a1 @ huffma945805758height ) @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[240,43045]) ).
thf(57233,plain,
! [TA: $tType] :
( ( ( nat @ linordered_semidom )
!= ( TA @ linordered_semidom ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ ( t_1 @ ( a1 @ huffma945805758height ) @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) ) ),
inference(simp,[status(thm)],[57232]) ).
thf(57234,plain,
( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(pattern_uni,[status(thm)],[57233:[bind_type(TA,$thf( nat ))]]) ).
thf(57792,plain,
! [A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ $true
| ( A
= ( nat @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[330,57234]) ).
thf(57793,plain,
! [A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( A
= ( nat @ zero_zero ) ) ),
inference(simp,[status(thm)],[57792]) ).
thf(57794,plain,
( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ semiring_1_of_nat ) )
= ( nat @ zero_zero ) ) ),
inference(pattern_uni,[status(thm)],[57793:[bind(A,$thf( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ semiring_1_of_nat ) ))]]) ).
thf(491,plain,
! [B: nat,A: bool @ ( int @ fun )] :
( ( A @ sk14 @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
| ~ ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ),
inference(cnfConj,[status(thm)],[488]) ).
thf(493,plain,
! [B: nat,A: bool @ ( int @ fun )] :
( ( A @ sk14 @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
| ~ ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ),
inference(simp,[status(thm)],[491]) ).
thf(10333,plain,
! [A: nat] :
( ( A
!= ( w @ ( int @ semiring_1_of_nat ) @ sk3 ) )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[207,8645]) ).
thf(10334,plain,
! [A: nat] :
( ( A
!= ( w @ ( int @ semiring_1_of_nat ) @ sk3 ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(simp,[status(thm)],[10333]) ).
thf(10335,plain,
( ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( w @ ( int @ semiring_1_of_nat ) @ sk3 @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(pattern_uni,[status(thm)],[10334:[bind(A,$thf( w @ ( int @ semiring_1_of_nat ) @ sk3 ))]]) ).
thf(3384,plain,
! [A: nat] :
( ( A != w )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[207,1967]) ).
thf(3385,plain,
! [A: nat] :
( ( A != w )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(simp,[status(thm)],[3384]) ).
thf(3386,plain,
( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( w @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(pattern_uni,[status(thm)],[3385:[bind(A,$thf( w ))]]) ).
thf(4,axiom,
! [TA: $tType,A: TA,B: TA] :
( ( A @ ( B @ ( fTrue @ ( TA @ if ) ) ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_T) ).
thf(139,plain,
! [TA: $tType,A: TA,B: TA] :
( ( A @ ( B @ ( fTrue @ ( TA @ if ) ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(140,plain,
! [TA: $tType,B: TA,A: TA] :
( ( A @ ( B @ ( fTrue @ ( TA @ if ) ) ) )
= B ),
inference(cnf,[status(esa)],[139]) ).
thf(141,plain,
! [TA: $tType,B: TA,A: TA] :
( ( A @ ( B @ ( fTrue @ ( TA @ if ) ) ) )
= B ),
inference(lifteq,[status(thm)],[140]) ).
thf(97,axiom,
! [TA: $tType,TB: $tType,A: TA,B: nat,C: TB @ ( TA @ huffma1450048681e_tree @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( nat @ fun ),D: TB @ ( TA @ fun ) @ ( nat @ fun )] :
( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( C @ ( D @ ( TB @ ( TA @ huffma107959123e_case ) ) ) ) )
= ( A @ ( B @ ( D @ ( TB @ ( TA @ fun ) @ ( nat @ aa ) ) ) @ ( TB @ ( TA @ aa ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_tree_Osimps_I5_J) ).
thf(499,plain,
! [TA: $tType,TB: $tType,A: TA,B: nat,C: TB @ ( TA @ huffma1450048681e_tree @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( nat @ fun ),D: TB @ ( TA @ fun ) @ ( nat @ fun )] :
( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( C @ ( D @ ( TB @ ( TA @ huffma107959123e_case ) ) ) ) )
= ( A @ ( B @ ( D @ ( TB @ ( TA @ fun ) @ ( nat @ aa ) ) ) @ ( TB @ ( TA @ aa ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(12268,plain,
! [B: nat,A: nat] :
( ( ( A @ ( B @ ( nat @ ord_less ) ) )
!= ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ~ $true
| ~ ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ) ),
inference(paramod_ordered,[status(thm)],[179,11917]) ).
thf(12269,plain,
! [B: nat,A: nat] :
( ( ( A @ ( B @ ( nat @ ord_less ) ) )
!= ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ~ ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ) ),
inference(simp,[status(thm)],[12268]) ).
thf(12270,plain,
~ ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( int @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ),
inference(pattern_uni,[status(thm)],[12269:[bind(A,$thf( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) )),bind(B,$thf( nat @ zero_zero ))]]) ).
thf(13790,plain,
~ ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) ),
inference(rewrite,[status(thm)],[12270,201,12331]) ).
thf(221,plain,
( ! [A: nat,B: nat] :
( ( B = A )
=> ( ( B @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) ) )
& ! [A: nat,B: nat] :
( ( ( B @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) )
=> ( B = A ) ) ),
inference(miniscope,[status(thm)],[220]) ).
thf(222,plain,
! [D: nat,C: nat,B: nat,A: nat] :
( ( ( ( D @ ( int @ semiring_1_of_nat ) )
= ( C @ ( int @ semiring_1_of_nat ) ) )
| ( D != C ) )
& ( ( B = A )
| ( ( B @ ( int @ semiring_1_of_nat ) )
!= ( A @ ( int @ semiring_1_of_nat ) ) ) ) ),
inference(cnf,[status(esa)],[221]) ).
thf(223,plain,
! [B: nat,A: nat] :
( ( B = A )
| ( ( B @ ( int @ semiring_1_of_nat ) )
!= ( A @ ( int @ semiring_1_of_nat ) ) ) ),
inference(cnfConj,[status(thm)],[222]) ).
thf(225,plain,
! [B: nat,A: nat] :
( ( B = A )
| ( ( B @ ( int @ semiring_1_of_nat ) )
!= ( A @ ( int @ semiring_1_of_nat ) ) ) ),
inference(lifteq,[status(thm)],[223]) ).
thf(339,plain,
! [TA: $tType,TB: $tType,C: TB,B: TA @ ( TB @ fun ),A: TA @ ( TB @ fun )] :
( ( C @ ( A @ ( TA @ ( TB @ aa ) ) ) @ ( C @ ( B @ ( TA @ ( TB @ aa ) ) ) @ ( TA @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( TA @ ( TB @ fun ) @ ord_less_eq ) ) )
| ~ ( TA @ ord ) ),
inference(cnfConj,[status(thm)],[338]) ).
thf(88,axiom,
fTrue @ pp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_pp_2_1_U) ).
thf(462,plain,
fTrue @ pp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(398,plain,
~ ( fFalse @ pp ),
inference(polarity_switch,[status(thm)],[397]) ).
thf(667,plain,
( ( ( fTrue @ pp )
!= ( fFalse @ pp ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[462,398]) ).
thf(668,plain,
( ( fTrue @ pp )
!= ( fFalse @ pp ) ),
inference(simp,[status(thm)],[667]) ).
thf(669,plain,
fTrue != fFalse,
inference(simp,[status(thm)],[668]) ).
thf(12637,plain,
! [A: nat] :
( ( A
!= ( w @ ( nat @ semiring_1_of_nat ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) )
| ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(paramod_ordered,[status(thm)],[330,12405]) ).
thf(12638,plain,
! [A: nat] :
( ( A
!= ( w @ ( nat @ semiring_1_of_nat ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(simp,[status(thm)],[12637]) ).
thf(12639,plain,
( ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( w @ ( nat @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(pattern_uni,[status(thm)],[12638:[bind(A,$thf( w @ ( nat @ semiring_1_of_nat ) ))]]) ).
thf(108,axiom,
! [TA: $tType,A: TA,B: nat,C: TA @ huffma1450048681e_tree,D: TA @ huffma1450048681e_tree,E: nat] :
( ( C @ ( D @ ( E @ ( TA @ huffma1146269203erNode ) ) ) )
!= ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_tree_Osimps_I4_J) ).
thf(526,plain,
! [TA: $tType,A: TA,B: nat,C: TA @ huffma1450048681e_tree,D: TA @ huffma1450048681e_tree,E: nat] :
( ( C @ ( D @ ( E @ ( TA @ huffma1146269203erNode ) ) ) )
!= ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(489,plain,
! [B: int,A: bool @ ( int @ fun )] :
( ( A @ sk13 @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
| ~ ( B @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
| ~ ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) ),
inference(cnfConj,[status(thm)],[488]) ).
thf(113,axiom,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: TA @ huffma1450048681e_tree,C: nat,D: TA,E: nat] :
( ( D @ ( E @ ( TA @ huffma2021818691e_Leaf ) ) )
!= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_tree_Osimps_I3_J) ).
thf(547,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: TA @ huffma1450048681e_tree,C: nat,D: TA,E: nat] :
( ( D @ ( E @ ( TA @ huffma2021818691e_Leaf ) ) )
!= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(255,plain,
! [A: int] :
( ( A
= ( A @ sk3 @ ( int @ semiring_1_of_nat ) ) )
| ~ ( A @ ( int @ zero_zero @ ( int @ ord_less ) ) ) ),
inference(cnfConj,[status(thm)],[253]) ).
thf(256,plain,
! [A: int] :
( ~ ( A @ ( int @ zero_zero @ ( int @ ord_less ) ) )
| ( ( A @ sk3 @ ( int @ semiring_1_of_nat ) )
= A ) ),
inference(lifteq,[status(thm)],[255]) ).
thf(534,plain,
! [TA: $tType,F: TA,E: TA @ huffma1450048681e_tree,D: nat,C: nat,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( E @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( F @ ( E @ ( TA @ huffma1401021291ibling ) ) ) )
| ~ ( E @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) ) ),
inference(cnfConj,[status(thm)],[533]) ).
thf(537,plain,
! [TA: $tType,F: TA,E: TA @ huffma1450048681e_tree,D: nat,C: nat,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ~ ( E @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
| ( ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( E @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( F @ ( E @ ( TA @ huffma1401021291ibling ) ) ) ) ),
inference(lifteq,[status(thm)],[534]) ).
thf(2181,plain,
! [TA: $tType,TB: $tType,C: nat,B: nat,A: nat] :
( ( ( A @ ( B @ ( nat @ ord_less ) ) )
!= ( TB @ zero_zero @ ( C @ ( TB @ semiring_1_of_nat ) @ ( TB @ ord_less ) ) ) )
| ~ $true
| ~ ( TB @ linordered_semidom )
| ~ ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(paramod_ordered,[status(thm)],[191,242]) ).
thf(2182,plain,
! [TA: $tType,TB: $tType,C: nat,B: nat,A: nat] :
( ( ( A @ ( B @ ( nat @ ord_less ) ) )
!= ( TB @ zero_zero @ ( C @ ( TB @ semiring_1_of_nat ) @ ( TB @ ord_less ) ) ) )
| ~ ( TB @ linordered_semidom )
| ~ ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(simp,[status(thm)],[2181]) ).
thf(2183,plain,
! [TA: $tType,A: nat] :
( ~ ( nat @ linordered_semidom )
| ~ ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) @ ( A @ ( nat @ semiring_1_of_nat ) @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(pattern_uni,[status(thm)],[2182:[bind(A,$thf( nat @ zero_zero )),bind(B,$thf( D @ ( nat @ semiring_1_of_nat ) )),bind(C,$thf( D )),bind_type(TA,$thf( TA )),bind_type(TB,$thf( nat ))]]) ).
thf(2188,plain,
! [TA: $tType,A: nat] :
( ~ ( nat @ linordered_semidom )
| ~ ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) @ ( A @ ( nat @ semiring_1_of_nat ) @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(simp,[status(thm)],[2183]) ).
thf(5670,plain,
! [TA: $tType,A: nat] :
( ~ $true
| ~ ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) @ ( A @ ( nat @ semiring_1_of_nat ) @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(rewrite,[status(thm)],[2188,240]) ).
thf(5671,plain,
! [TA: $tType,A: nat] :
( ~ ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) @ ( A @ ( nat @ semiring_1_of_nat ) @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(simp,[status(thm)],[5670]) ).
thf(12453,plain,
! [TA: $tType,A: nat] :
( ( ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) )
!= ( A @ ( nat @ semiring_1_of_nat ) ) )
| ~ ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(paramod_ordered,[status(thm)],[12331,5671]) ).
thf(12454,plain,
! [TA: $tType] :
( ~ ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(pattern_uni,[status(thm)],[12453:[bind(A,$thf( nat @ zero_zero ))]]) ).
thf(14,axiom,
! [A: nat,B: nat,C: bool] :
( ( ~ ( C @ pp )
=> ( ( A @ ( int @ semiring_1_of_nat ) )
= ( A @ ( B @ ( C @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) ) ) )
& ( ( C @ pp )
=> ( ( B @ ( int @ semiring_1_of_nat ) )
= ( A @ ( B @ ( C @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_int__if__cong) ).
thf(161,plain,
! [A: nat,B: nat,C: bool] :
( ( ~ ( C @ pp )
=> ( ( A @ ( int @ semiring_1_of_nat ) )
= ( A @ ( B @ ( C @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) ) ) )
& ( ( C @ pp )
=> ( ( B @ ( int @ semiring_1_of_nat ) )
= ( A @ ( B @ ( C @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(162,plain,
( ! [A: nat,B: nat,C: bool] :
( ~ ( C @ pp )
=> ( ( A @ ( int @ semiring_1_of_nat ) )
= ( A @ ( B @ ( C @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) ) ) )
& ! [A: nat,B: nat,C: bool] :
( ( C @ pp )
=> ( ( B @ ( int @ semiring_1_of_nat ) )
= ( A @ ( B @ ( C @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) ) ) ) ),
inference(miniscope,[status(thm)],[161]) ).
thf(163,plain,
! [F: bool,E: nat,D: nat,C: bool,B: nat,A: nat] :
( ( ( ( D @ ( int @ semiring_1_of_nat ) )
= ( D @ ( E @ ( F @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) ) )
| ( F @ pp ) )
& ( ( ( B @ ( int @ semiring_1_of_nat ) )
= ( A @ ( B @ ( C @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) ) )
| ~ ( C @ pp ) ) ),
inference(cnf,[status(esa)],[162]) ).
thf(165,plain,
! [C: bool,B: nat,A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) )
= ( A @ ( B @ ( C @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) ) )
| ( C @ pp ) ),
inference(cnfConj,[status(thm)],[163]) ).
thf(167,plain,
! [C: bool,B: nat,A: nat] :
( ( C @ pp )
| ( ( A @ ( B @ ( C @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) ) ),
inference(lifteq,[status(thm)],[165]) ).
thf(168,plain,
! [C: bool,B: nat,A: nat] :
( ( C @ pp )
| ( ( A @ ( B @ ( C @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) ) ),
inference(simp,[status(thm)],[167]) ).
thf(1000,plain,
! [C: bool,B: nat,A: nat] :
( ( ( C @ pp )
!= ( fFalse @ pp ) )
| ~ $true
| ( ( A @ ( B @ ( C @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) ) ),
inference(paramod_ordered,[status(thm)],[168,398]) ).
thf(1001,plain,
! [C: bool,B: nat,A: nat] :
( ( ( C @ pp )
!= ( fFalse @ pp ) )
| ( ( A @ ( B @ ( C @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) ) ),
inference(simp,[status(thm)],[1000]) ).
thf(1002,plain,
! [B: nat,A: nat] :
( ( A @ ( B @ ( fFalse @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) ),
inference(pattern_uni,[status(thm)],[1001:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( fFalse ))]]) ).
thf(819,plain,
! [C: nat,B: nat,A: nat] :
( ( ( A @ ( A @ ( nat @ ord_less_eq ) ) )
!= ( B @ ( C @ ( nat @ ord_less_eq ) ) ) )
| ( B @ ( int @ semiring_1_of_nat ) @ ( C @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[276,156]) ).
thf(820,plain,
! [C: nat,B: nat,A: nat] :
( ( ( A @ ( A @ ( nat @ ord_less_eq ) ) )
!= ( B @ ( C @ ( nat @ ord_less_eq ) ) ) )
| ( B @ ( int @ semiring_1_of_nat ) @ ( C @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ),
inference(simp,[status(thm)],[819]) ).
thf(821,plain,
! [A: nat] : ( A @ ( int @ semiring_1_of_nat ) @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(pattern_uni,[status(thm)],[820:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).
thf(1695,plain,
! [C: nat,B: nat,A: nat] :
( ( ( A @ ( B @ ( fFalse @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) )
!= ( C @ ( int @ semiring_1_of_nat ) ) )
| ( A @ ( int @ semiring_1_of_nat ) @ ( C @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ),
inference(paramod_ordered,[status(thm)],[1002,821]) ).
thf(1696,plain,
! [B: nat,A: nat] : ( B @ ( int @ semiring_1_of_nat ) @ ( B @ ( A @ ( fFalse @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(pattern_uni,[status(thm)],[1695:[bind(A,$thf( F )),bind(B,$thf( E )),bind(C,$thf( F @ ( E @ ( fFalse @ ( nat @ if ) ) ) ))]]) ).
thf(1756,plain,
! [B: nat,A: nat] : ( B @ ( int @ semiring_1_of_nat ) @ ( B @ ( A @ ( fFalse @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(simp,[status(thm)],[1696]) ).
thf(3301,plain,
! [A: nat] : ( A @ ( int @ semiring_1_of_nat ) @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(rewrite,[status(thm)],[1756,1002]) ).
thf(3311,plain,
! [B: nat,A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) @ sk1 @ ( int @ semiring_1_of_nat ) )
!= ( B @ ( int @ semiring_1_of_nat ) ) )
| ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ),
inference(paramod_ordered,[status(thm)],[1115,3301]) ).
thf(3312,plain,
! [A: nat] : ( A @ ( int @ semiring_1_of_nat ) @ sk1 @ ( int @ semiring_1_of_nat ) @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(pattern_uni,[status(thm)],[3311:[bind(A,$thf( D )),bind(B,$thf( D @ ( int @ semiring_1_of_nat ) @ sk1 ))]]) ).
thf(3355,plain,
! [A: nat] : ( A @ ( int @ semiring_1_of_nat ) @ sk1 @ ( int @ semiring_1_of_nat ) @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(simp,[status(thm)],[3312]) ).
thf(3767,plain,
! [A: nat] : ( A @ ( int @ semiring_1_of_nat ) @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(rewrite,[status(thm)],[3355,1115]) ).
thf(3771,plain,
! [C: nat,B: nat,A: nat] :
( ( ( A @ ( B @ ( fFalse @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) )
!= ( C @ ( int @ semiring_1_of_nat ) ) )
| ( A @ ( int @ semiring_1_of_nat ) @ ( C @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ),
inference(paramod_ordered,[status(thm)],[1002,3767]) ).
thf(3772,plain,
! [B: nat,A: nat] : ( B @ ( int @ semiring_1_of_nat ) @ ( B @ ( A @ ( fFalse @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(pattern_uni,[status(thm)],[3771:[bind(A,$thf( F )),bind(B,$thf( E )),bind(C,$thf( F @ ( E @ ( fFalse @ ( nat @ if ) ) ) ))]]) ).
thf(3817,plain,
! [B: nat,A: nat] : ( B @ ( int @ semiring_1_of_nat ) @ ( B @ ( A @ ( fFalse @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(simp,[status(thm)],[3772]) ).
thf(11391,plain,
! [A: nat] : ( A @ ( int @ semiring_1_of_nat ) @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(rewrite,[status(thm)],[3817,1002]) ).
thf(11414,plain,
! [B: nat,A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) @ sk1 @ ( int @ semiring_1_of_nat ) )
!= ( B @ ( int @ semiring_1_of_nat ) ) )
| ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ),
inference(paramod_ordered,[status(thm)],[1115,11391]) ).
thf(11415,plain,
! [A: nat] : ( A @ ( int @ semiring_1_of_nat ) @ sk1 @ ( int @ semiring_1_of_nat ) @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(pattern_uni,[status(thm)],[11414:[bind(A,$thf( D )),bind(B,$thf( D @ ( int @ semiring_1_of_nat ) @ sk1 ))]]) ).
thf(11482,plain,
! [A: nat] : ( A @ ( int @ semiring_1_of_nat ) @ sk1 @ ( int @ semiring_1_of_nat ) @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(simp,[status(thm)],[11415]) ).
thf(11742,plain,
! [A: nat] : ( A @ ( int @ semiring_1_of_nat ) @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ),
inference(rewrite,[status(thm)],[11482,1115]) ).
thf(125,axiom,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: nat,C: TA @ huffma1450048681e_tree,D: TA @ huffma1450048681e_tree,E: nat,F: TA] :
( ( ~ ( C @ ( D @ ( E @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
=> ( ( ~ ( A @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
=> ( ( F @ ( A @ ( C @ ( D @ ( E @ ( TA @ huffma1146269203erNode ) ) ) @ ( B @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= F ) )
& ( ( A @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
=> ( ( F @ ( A @ ( C @ ( D @ ( E @ ( TA @ huffma1146269203erNode ) ) ) @ ( B @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( F @ ( A @ ( TA @ huffma1401021291ibling ) ) ) ) ) ) )
& ( ( C @ ( D @ ( E @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
=> ( ( F @ ( A @ ( C @ ( D @ ( E @ ( TA @ huffma1146269203erNode ) ) ) @ ( B @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( F @ ( C @ ( D @ ( E @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_sibling_Osimps_I3_J) ).
thf(605,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: nat,C: TA @ huffma1450048681e_tree,D: TA @ huffma1450048681e_tree,E: nat,F: TA] :
( ( ~ ( C @ ( D @ ( E @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
=> ( ( ~ ( A @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
=> ( ( F @ ( A @ ( C @ ( D @ ( E @ ( TA @ huffma1146269203erNode ) ) ) @ ( B @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= F ) )
& ( ( A @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
=> ( ( F @ ( A @ ( C @ ( D @ ( E @ ( TA @ huffma1146269203erNode ) ) ) @ ( B @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( F @ ( A @ ( TA @ huffma1401021291ibling ) ) ) ) ) ) )
& ( ( C @ ( D @ ( E @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
=> ( ( F @ ( A @ ( C @ ( D @ ( E @ ( TA @ huffma1146269203erNode ) ) ) @ ( B @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( F @ ( C @ ( D @ ( E @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(1033,plain,
! [TA: $tType,TB: $tType,D: TB @ huffma1450048681e_tree,C: TB,B: nat,A: TA] :
( ( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma945805758height ) )
!= ( D @ ( TB @ huffma945805758height ) ) )
| ( nat @ zero_zero @ ( C @ ( D @ ( TB @ huffma410068972_depth ) ) @ ( nat @ ord_less_eq ) ) ) ),
inference(paramod_ordered,[status(thm)],[507,283]) ).
thf(1034,plain,
! [TB: $tType,C: TB,B: nat,A: TB] : ( nat @ zero_zero @ ( A @ ( C @ ( B @ ( TB @ huffma2021818691e_Leaf ) ) @ ( TB @ huffma410068972_depth ) ) @ ( nat @ ord_less_eq ) ) ),
inference(pattern_uni,[status(thm)],[1033:[bind(A,$thf( F )),bind(B,$thf( E )),bind(C,$thf( C )),bind(D,$thf( F @ ( E @ ( TB @ huffma2021818691e_Leaf ) ) )),bind_type(TA,$thf( TB ))]]) ).
thf(1040,plain,
! [TA: $tType,C: TA,B: nat,A: TA] : ( nat @ zero_zero @ ( A @ ( C @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma410068972_depth ) ) @ ( nat @ ord_less_eq ) ) ),
inference(simp,[status(thm)],[1034]) ).
thf(1814,plain,
nat @ zero_zero @ ( nat @ zero_zero @ ( nat @ ord_less_eq ) ),
inference(rewrite,[status(thm)],[1040,430]) ).
thf(101,axiom,
! [A: nat] : ( A @ ( nat @ zero_zero @ ( nat @ ord_less_eq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_less__eq__nat_Osimps_I1_J) ).
thf(508,plain,
! [A: nat] : ( A @ ( nat @ zero_zero @ ( nat @ ord_less_eq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(558,plain,
! [TA: $tType,B: TA,A: bool @ ( TA @ fun )] :
( ( B @ ( A @ ( bool @ ( TA @ aa ) ) ) @ pp )
| ~ ( A @ ( B @ ( TA @ member ) ) ) ),
inference(cnfConj,[status(thm)],[557]) ).
thf(64,axiom,
! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
=> ( ( B @ ( A @ ( nat @ ord_less_eq ) ) )
=> ( B = A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_le__antisym) ).
thf(343,plain,
! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
=> ( ( B @ ( A @ ( nat @ ord_less_eq ) ) )
=> ( B = A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(261,plain,
( ! [A: bool @ ( int @ fun )] :
( ! [B: nat] : ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
=> ! [B: int] :
( ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
=> ( B @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ) )
& ! [A: bool @ ( int @ fun )] :
( ! [B: int] :
( ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
=> ( B @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) )
=> ! [B: nat] : ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ) ),
inference(miniscope,[status(thm)],[260]) ).
thf(262,plain,
! [D: int,C: bool @ ( int @ fun ),B: nat,A: bool @ ( int @ fun )] :
( ( ( D @ ( C @ ( bool @ ( int @ aa ) ) ) @ pp )
| ~ ( D @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
| ~ ( C @ sk5 @ ( int @ semiring_1_of_nat ) @ ( C @ ( bool @ ( int @ aa ) ) ) @ pp ) )
& ( ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
| ~ ( A @ sk4 @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) )
& ( ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
| ( A @ sk4 @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) ) ),
inference(cnf,[status(esa)],[261]) ).
thf(265,plain,
! [B: int,A: bool @ ( int @ fun )] :
( ( B @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
| ~ ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
| ~ ( A @ sk5 @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ),
inference(cnfConj,[status(thm)],[262]) ).
thf(266,plain,
! [B: int,A: bool @ ( int @ fun )] :
( ( B @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
| ~ ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
| ~ ( A @ sk5 @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ),
inference(simp,[status(thm)],[265]) ).
thf(164,plain,
! [C: bool,B: nat,A: nat] :
( ( ( B @ ( int @ semiring_1_of_nat ) )
= ( A @ ( B @ ( C @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) ) )
| ~ ( C @ pp ) ),
inference(cnfConj,[status(thm)],[163]) ).
thf(166,plain,
! [C: bool,B: nat,A: nat] :
( ~ ( C @ pp )
| ( ( A @ ( B @ ( C @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) )
= ( B @ ( int @ semiring_1_of_nat ) ) ) ),
inference(lifteq,[status(thm)],[164]) ).
thf(440,plain,
! [TA: $tType,D: nat,C: TA,B: nat,A: TA] :
( ( ( ( C @ ( D @ ( TA @ huffma2021818691e_Leaf ) ) )
= ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) ) )
| ( C != A )
| ( D != B ) )
& ( ( C = A )
| ( ( C @ ( D @ ( TA @ huffma2021818691e_Leaf ) ) )
!= ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) ) ) )
& ( ( D = B )
| ( ( C @ ( D @ ( TA @ huffma2021818691e_Leaf ) ) )
!= ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) ) ) ) ),
inference(cnf,[status(esa)],[439]) ).
thf(441,plain,
! [TA: $tType,D: nat,C: TA,B: nat,A: TA] :
( ( D = B )
| ( ( C @ ( D @ ( TA @ huffma2021818691e_Leaf ) ) )
!= ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) ) ) ),
inference(cnfConj,[status(thm)],[440]) ).
thf(444,plain,
! [TA: $tType,D: nat,C: TA,B: nat,A: TA] :
( ( D = B )
| ( ( C @ ( D @ ( TA @ huffma2021818691e_Leaf ) ) )
!= ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) ) ) ),
inference(lifteq,[status(thm)],[441]) ).
thf(9,axiom,
int @ linorder,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Orderings_Olinorder) ).
thf(149,plain,
int @ linorder,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(375,plain,
! [C: nat,B: nat,A: bool @ ( nat @ fun ) @ ( nat @ fun )] :
( ( A @ ( B @ ( C @ sk10 ) ) )
| ~ ( C @ ( B @ ( A @ ( bool @ ( nat @ fun ) @ ( nat @ aa ) ) ) @ ( bool @ ( nat @ aa ) ) ) @ pp ) ),
inference(cnfConj,[status(thm)],[374]) ).
thf(513,plain,
! [TA: $tType,B: nat,A: TA] : ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1518433673istent ) ),
inference(cnf,[status(esa)],[512]) ).
thf(8,axiom,
int @ zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Groups_Ozero) ).
thf(148,plain,
int @ zero,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(264,plain,
! [B: nat,A: bool @ ( int @ fun )] :
( ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
| ~ ( A @ sk4 @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp ) ),
inference(cnfConj,[status(thm)],[262]) ).
thf(583,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( A @ ( TA @ huffma1393970616ptimum ) )
| ( ( A @ ( TA @ huffma1352802255e_freq ) )
= ( A @ ( TA @ sk16 ) @ ( TA @ huffma1352802255e_freq ) ) ) ),
inference(cnfConj,[status(thm)],[578]) ).
thf(584,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( A @ ( TA @ huffma1393970616ptimum ) )
| ( ( A @ ( TA @ sk16 ) @ ( TA @ huffma1352802255e_freq ) )
= ( A @ ( TA @ huffma1352802255e_freq ) ) ) ),
inference(lifteq,[status(thm)],[583]) ).
thf(530,plain,
! [TA: $tType,B: TA,A: TA @ huffma1450048681e_tree] :
( ( ( B @ ( A @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= ( nat @ zero_zero ) )
| ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) ) ),
inference(cnf,[status(esa)],[529]) ).
thf(531,plain,
! [TA: $tType,B: TA,A: TA @ huffma1450048681e_tree] :
( ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) )
| ( ( B @ ( A @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= ( nat @ zero_zero ) ) ),
inference(lifteq,[status(thm)],[530]) ).
thf(47336,plain,
! [TA: $tType,B: TA,A: TA @ huffma1450048681e_tree] :
( ( ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ( ( t_1 @ ( a1 @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) )
| ~ $true
| ( ( B @ ( A @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= ( nat @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[531,43540]) ).
thf(47337,plain,
! [TA: $tType,B: TA,A: TA @ huffma1450048681e_tree] :
( ( ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ( ( t_1 @ ( a1 @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) )
| ( ( B @ ( A @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= ( nat @ zero_zero ) ) ),
inference(simp,[status(thm)],[47336]) ).
thf(47338,plain,
( ( ( t_1 @ ( a1 @ huffma1134658180e_cost ) )
= ( nat @ zero_zero ) )
| ( ( a @ ( t_1 @ ( a1 @ huffma1352802255e_freq ) @ ( nat @ ( a1 @ aa ) ) ) )
= ( nat @ zero_zero ) ) ),
inference(pattern_uni,[status(thm)],[47337:[bind(A,$thf( t_1 )),bind(B,$thf( a )),bind_type(TA,$thf( a1 ))]]) ).
thf(285,plain,
! [TA: $tType,TB: $tType,D: TA @ ( TB @ fun ) @ ( nat @ fun ),C: TA @ ( TA @ fun ) @ ( TA @ fun ) @ ( TB @ huffma1450048681e_tree @ fun ) @ ( TB @ huffma1450048681e_tree @ fun ) @ ( nat @ fun ),B: nat,A: TB] :
( ( A @ ( B @ ( TB @ huffma2021818691e_Leaf ) ) @ ( C @ ( D @ ( TA @ ( TB @ huffma1280178957ee_rec ) ) ) ) )
= ( A @ ( B @ ( D @ ( TA @ ( TB @ fun ) @ ( nat @ aa ) ) ) @ ( TA @ ( TB @ aa ) ) ) ) ),
inference(cnf,[status(esa)],[284]) ).
thf(286,plain,
! [TA: $tType,TB: $tType,D: TA @ ( TB @ fun ) @ ( nat @ fun ),C: TA @ ( TA @ fun ) @ ( TA @ fun ) @ ( TB @ huffma1450048681e_tree @ fun ) @ ( TB @ huffma1450048681e_tree @ fun ) @ ( nat @ fun ),B: nat,A: TB] :
( ( A @ ( B @ ( TB @ huffma2021818691e_Leaf ) ) @ ( C @ ( D @ ( TA @ ( TB @ huffma1280178957ee_rec ) ) ) ) )
= ( A @ ( B @ ( D @ ( TA @ ( TB @ fun ) @ ( nat @ aa ) ) ) @ ( TA @ ( TB @ aa ) ) ) ) ),
inference(lifteq,[status(thm)],[285]) ).
thf(291,plain,
! [TA: $tType,A: nat] :
( ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(cnfConj,[status(thm)],[289]) ).
thf(60830,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType,TZZR: $tType,TZZS: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ( TZZQ @ fun ) @ ord )
!= ( TZZS @ ord ) )
| ( TZZS @ ( TZZR @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[59696,296]) ).
thf(60831,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType,TZZR: $tType,TZZS: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ( TZZQ @ fun ) @ ord )
!= ( TZZS @ ord ) )
| ( TZZS @ ( TZZR @ fun ) @ ord ) ),
inference(simp,[status(thm)],[60830]) ).
thf(60832,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType,TZZR: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ( TZZQ @ fun ) @ ( TZZR @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[60831:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( TZZN )),bind_type(TZZO,$thf( TZZO )),bind_type(TZZP,$thf( TZZP )),bind_type(TZZQ,$thf( TZZQ )),bind_type(TZZR,$thf( TZZR )),bind_type(TZZS,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ( TZZQ @ fun ) ))]]) ).
thf(281,plain,
! [C: nat,B: nat,A: nat] :
( ( A @ ( C @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ~ ( B @ ( C @ ( nat @ ord_less_eq ) ) ) ),
inference(cnf,[status(esa)],[280]) ).
thf(442,plain,
! [TA: $tType,D: nat,C: TA,B: nat,A: TA] :
( ( C = A )
| ( ( C @ ( D @ ( TA @ huffma2021818691e_Leaf ) ) )
!= ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) ) ) ),
inference(cnfConj,[status(thm)],[440]) ).
thf(445,plain,
! [TA: $tType,D: nat,C: TA,B: nat,A: TA] :
( ( C = A )
| ( ( C @ ( D @ ( TA @ huffma2021818691e_Leaf ) ) )
!= ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) ) ) ),
inference(lifteq,[status(thm)],[442]) ).
thf(3309,plain,
! [A: nat] :
( ( ( int @ zero_zero @ sk1 @ ( int @ semiring_1_of_nat ) )
!= ( A @ ( int @ semiring_1_of_nat ) ) )
| ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ),
inference(paramod_ordered,[status(thm)],[1078,3301]) ).
thf(3310,plain,
int @ zero_zero @ ( int @ zero_zero @ sk1 @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ),
inference(pattern_uni,[status(thm)],[3309:[bind(A,$thf( int @ zero_zero @ sk1 ))]]) ).
thf(3410,plain,
! [A: nat] :
( ( ( int @ zero_zero @ sk1 @ ( int @ semiring_1_of_nat ) )
!= ( A @ ( int @ semiring_1_of_nat ) ) )
| ( A
= ( nat @ zero_zero ) )
| ( ( int @ zero_zero )
!= ( int @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[1078,207]) ).
thf(3411,plain,
! [A: nat] :
( ( ( int @ zero_zero @ sk1 @ ( int @ semiring_1_of_nat ) )
!= ( A @ ( int @ semiring_1_of_nat ) ) )
| ( A
= ( nat @ zero_zero ) ) ),
inference(simp,[status(thm)],[3410]) ).
thf(3412,plain,
( ( int @ zero_zero @ sk1 )
= ( nat @ zero_zero ) ),
inference(pattern_uni,[status(thm)],[3411:[bind(A,$thf( int @ zero_zero @ sk1 ))]]) ).
thf(3726,plain,
int @ zero_zero @ ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ),
inference(rewrite,[status(thm)],[3310,3412]) ).
thf(89,axiom,
! [A: nat,B: nat,C: nat @ ( nat @ fun )] :
( ! [D: nat,E: nat] :
( ( E @ ( D @ ( nat @ ord_less ) ) )
=> ( E @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( D @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( nat @ ord_less ) ) ) )
=> ( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
=> ( A @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( B @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( nat @ ord_less_eq ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_less__mono__imp__le__mono) ).
thf(463,plain,
! [A: nat,B: nat,C: nat @ ( nat @ fun )] :
( ! [D: nat,E: nat] :
( ( E @ ( D @ ( nat @ ord_less ) ) )
=> ( E @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( D @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( nat @ ord_less ) ) ) )
=> ( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
=> ( A @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( B @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( nat @ ord_less_eq ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(464,plain,
! [C: nat @ ( nat @ fun ),B: nat,A: nat] :
( ( ( A @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( B @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( C @ sk12 ) ) @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( A @ ( B @ ( C @ sk11 ) ) @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( nat @ ord_less ) ) ) )
& ( ( A @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( B @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ( A @ ( B @ ( C @ sk12 ) ) @ ( A @ ( B @ ( C @ sk11 ) ) @ ( nat @ ord_less ) ) ) ) ),
inference(cnf,[status(esa)],[463]) ).
thf(466,plain,
! [C: nat @ ( nat @ fun ),B: nat,A: nat] :
( ( A @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( B @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( C @ sk12 ) ) @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( A @ ( B @ ( C @ sk11 ) ) @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( nat @ ord_less ) ) ) ),
inference(cnfConj,[status(thm)],[464]) ).
thf(67,axiom,
! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_less__not__refl2) ).
thf(350,plain,
! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(158,plain,
~ ? [A: nat] : ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ),
inference(miniscope,[status(thm)],[157]) ).
thf(159,plain,
! [A: nat] :
~ ( int @ zero_zero @ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ),
inference(cnf,[status(esa)],[158]) ).
thf(59379,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ preorder )
!= ( TZP @ preorder ) )
| ( TZP @ ( TZO @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[59028,347]) ).
thf(59380,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ preorder )
!= ( TZP @ preorder ) )
| ( TZP @ ( TZO @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[59379]) ).
thf(59381,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[59380:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) ))]]) ).
thf(143,plain,
! [A: bool] :
( ( A = fFalse )
| ( A = fTrue ) ),
inference(cnf,[status(esa)],[142]) ).
thf(144,plain,
! [A: bool] :
( ( A = fFalse )
| ( A = fTrue ) ),
inference(lifteq,[status(thm)],[143]) ).
thf(124,axiom,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
? [B: TA] : ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_exists__in__alphabet) ).
thf(603,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
? [B: TA] : ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(604,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] : ( A @ ( TA @ huffma675207370phabet ) @ ( A @ ( TA @ sk22 ) @ ( TA @ member ) ) ),
inference(cnf,[status(esa)],[603]) ).
thf(271,plain,
! [B: nat,A: nat] :
( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less ) ) ) ),
inference(cnfConj,[status(thm)],[269]) ).
thf(274,plain,
! [B: nat,A: nat] :
( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less ) ) ) ),
inference(simp,[status(thm)],[271]) ).
thf(47404,plain,
! [TA: $tType,B: TA,A: TA @ huffma1450048681e_tree] :
( ( ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ~ $true
| ( ( t_1 @ ( a1 @ huffma945805758height ) )
= ( nat @ zero_zero ) )
| ( ( B @ ( A @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= ( nat @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[531,43015]) ).
thf(47405,plain,
! [TA: $tType,B: TA,A: TA @ huffma1450048681e_tree] :
( ( ( A @ ( TA @ huffma675207370phabet ) @ ( B @ ( TA @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ( ( t_1 @ ( a1 @ huffma945805758height ) )
= ( nat @ zero_zero ) )
| ( ( B @ ( A @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= ( nat @ zero_zero ) ) ),
inference(simp,[status(thm)],[47404]) ).
thf(47406,plain,
( ( ( t_1 @ ( a1 @ huffma945805758height ) )
= ( nat @ zero_zero ) )
| ( ( a @ ( t_1 @ ( a1 @ huffma1352802255e_freq ) @ ( nat @ ( a1 @ aa ) ) ) )
= ( nat @ zero_zero ) ) ),
inference(pattern_uni,[status(thm)],[47405:[bind(A,$thf( t_1 )),bind(B,$thf( a )),bind_type(TA,$thf( a1 ))]]) ).
thf(29,axiom,
! [TA: $tType] :
( ( TA @ linordered_semidom )
=> ! [A: nat] : ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less_eq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_zero__le__imp__of__nat) ).
thf(230,plain,
! [TA: $tType] :
( ( TA @ linordered_semidom )
=> ! [A: nat] : ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less_eq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(34,axiom,
( ( int @ zero_zero )
= ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_transfer__int__nat__numerals_I1_J) ).
thf(245,plain,
( ( int @ zero_zero )
= ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(217,plain,
! [TA: $tType,B: nat,A: nat] :
( ( ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ~ ( TA @ linordered_semidom ) )
& ( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less_eq ) ) )
| ~ ( TA @ linordered_semidom ) ) ),
inference(cnf,[status(esa)],[216]) ).
thf(219,plain,
! [TA: $tType,B: nat,A: nat] :
( ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(cnfConj,[status(thm)],[217]) ).
thf(69,axiom,
! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( A
!= ( nat @ zero_zero ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_gr__implies__not0) ).
thf(362,plain,
! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( A
!= ( nat @ zero_zero ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(563,plain,
! [TA: $tType,F: nat,E: TA @ huffma1450048681e_tree,D: TA @ huffma1450048681e_tree,C: nat,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( E = B )
| ( ( D @ ( E @ ( F @ ( TA @ huffma1146269203erNode ) ) ) )
!= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) ) ),
inference(cnfConj,[status(thm)],[561]) ).
thf(567,plain,
! [TA: $tType,F: nat,E: TA @ huffma1450048681e_tree,D: TA @ huffma1450048681e_tree,C: nat,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( E = B )
| ( ( D @ ( E @ ( F @ ( TA @ huffma1146269203erNode ) ) ) )
!= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) ) ),
inference(lifteq,[status(thm)],[563]) ).
thf(59316,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ord )
!= ( TZZQ @ ord ) )
| ( TZZQ @ ( TZZP @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[58109,296]) ).
thf(59317,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ord )
!= ( TZZQ @ ord ) )
| ( TZZQ @ ( TZZP @ fun ) @ ord ) ),
inference(simp,[status(thm)],[59316]) ).
thf(59318,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[59317:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( TZZN )),bind_type(TZZO,$thf( TZZO )),bind_type(TZZP,$thf( TZZP )),bind_type(TZZQ,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) ))]]) ).
thf(59675,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType,TZZR: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ord )
!= ( TZZR @ ord ) )
| ( TZZR @ ( TZZQ @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[59318,296]) ).
thf(59676,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType,TZZR: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ord )
!= ( TZZR @ ord ) )
| ( TZZR @ ( TZZQ @ fun ) @ ord ) ),
inference(simp,[status(thm)],[59675]) ).
thf(59677,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ( TZZQ @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[59676:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( TZZN )),bind_type(TZZO,$thf( TZZO )),bind_type(TZZP,$thf( TZZP )),bind_type(TZZQ,$thf( TZZQ )),bind_type(TZZR,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) ))]]) ).
thf(74,axiom,
! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_less__imp__le__nat) ).
thf(387,plain,
! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(95,axiom,
! [A: nat] : ( A @ ( A @ ( nat @ ord_less_eq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_le__refl) ).
thf(494,plain,
! [A: nat] : ( A @ ( A @ ( nat @ ord_less_eq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(1558,plain,
! [B: nat,A: nat] :
( ( ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( A @ ( B @ ( nat @ ord_less ) ) ) )
| ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) )
| ~ $true
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(paramod_ordered,[status(thm)],[1293,181]) ).
thf(1559,plain,
! [B: nat,A: nat] :
( ( ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( A @ ( B @ ( nat @ ord_less ) ) ) )
| ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(simp,[status(thm)],[1558]) ).
thf(1560,plain,
( ( w @ ( int @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(pattern_uni,[status(thm)],[1559:[bind(A,$thf( w )),bind(B,$thf( nat @ zero_zero ))]]) ).
thf(3876,plain,
( ( w @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(rewrite,[status(thm)],[1560,201]) ).
thf(6832,plain,
! [A: int] :
( ( ( w @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) )
!= ( A @ ( int @ zero_zero @ ( int @ ord_less ) ) ) )
| ( A @ sk3 @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ $true
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(paramod_ordered,[status(thm)],[3876,254]) ).
thf(6833,plain,
! [A: int] :
( ( ( w @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) )
!= ( A @ ( int @ zero_zero @ ( int @ ord_less ) ) ) )
| ( A @ sk3 @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(simp,[status(thm)],[6832]) ).
thf(6834,plain,
( ( w @ ( int @ semiring_1_of_nat ) @ sk3 @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(pattern_uni,[status(thm)],[6833:[bind(A,$thf( w @ ( int @ semiring_1_of_nat ) ))]]) ).
thf(344,plain,
! [B: nat,A: nat] :
( ( B = A )
| ~ ( B @ ( A @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ),
inference(cnf,[status(esa)],[343]) ).
thf(345,plain,
! [B: nat,A: nat] :
( ~ ( B @ ( A @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ( B = A ) ),
inference(lifteq,[status(thm)],[344]) ).
thf(60772,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ preorder )
!= ( TZQ @ preorder ) )
| ( TZQ @ ( TZP @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[59381,347]) ).
thf(60773,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType] :
( ( ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ preorder )
!= ( TZQ @ preorder ) )
| ( TZQ @ ( TZP @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[60772]) ).
thf(60774,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] : ( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[60773:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( bool @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) ))]]) ).
thf(551,plain,
! [TA: $tType,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( A @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( ( B @ ( TA @ huffma675207370phabet ) )
!= ( A @ ( TA @ huffma675207370phabet ) ) )
| ~ ( B @ ( TA @ huffma1518433673istent ) )
| ~ ( B @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
inference(cnf,[status(esa)],[550]) ).
thf(552,plain,
! [TA: $tType,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( A @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ ( B @ ( TA @ huffma1518433673istent ) )
| ~ ( B @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( ( B @ ( TA @ huffma675207370phabet ) )
!= ( A @ ( TA @ huffma675207370phabet ) ) ) ),
inference(lifteq,[status(thm)],[551]) ).
thf(6197,plain,
! [B: int,A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
!= ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) )
| ~ $true
| ( ( B @ sk2 @ ( int @ semiring_1_of_nat ) )
= B ) ),
inference(paramod_ordered,[status(thm)],[170,249]) ).
thf(6198,plain,
! [B: int,A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) )
!= ( B @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) )
| ( ( B @ sk2 @ ( int @ semiring_1_of_nat ) )
= B ) ),
inference(simp,[status(thm)],[6197]) ).
thf(6199,plain,
! [A: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ sk2 @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) ),
inference(pattern_uni,[status(thm)],[6198:[bind(A,$thf( C )),bind(B,$thf( C @ ( int @ semiring_1_of_nat ) ))]]) ).
thf(6376,plain,
! [A: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ sk2 @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) ),
inference(simp,[status(thm)],[6199]) ).
thf(1074,plain,
! [B: nat,A: int] :
( ( ( A @ sk1 @ ( int @ semiring_1_of_nat ) )
!= ( B @ ( int @ semiring_1_of_nat ) ) )
| ~ ( int @ zero_zero @ ( A @ ( int @ ord_less ) ) )
| ~ ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) ),
inference(paramod_ordered,[status(thm)],[175,159]) ).
thf(1075,plain,
! [A: int] :
( ~ ( int @ zero_zero @ ( A @ ( int @ ord_less ) ) )
| ~ ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) ),
inference(pattern_uni,[status(thm)],[1074:[bind(A,$thf( C )),bind(B,$thf( C @ sk1 ))]]) ).
thf(1112,plain,
! [A: int] :
( ~ ( int @ zero_zero @ ( A @ ( int @ ord_less ) ) )
| ~ ( A @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) ),
inference(simp,[status(thm)],[1075]) ).
thf(77,axiom,
! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less ) ) )
<=> ( ( B != A )
& ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_nat__less__le) ).
thf(399,plain,
! [A: nat,B: nat] :
( ( ( ( B != A )
& ( A @ ( B @ ( nat @ ord_less_eq ) ) ) )
=> ( A @ ( B @ ( nat @ ord_less ) ) ) )
& ( ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( ( B != A )
& ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(6925,plain,
! [A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) @ sk2 @ ( int @ semiring_1_of_nat ) )
!= ( w @ ( int @ semiring_1_of_nat ) ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( int @ semiring_char_0 )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) ) ) ),
inference(paramod_ordered,[status(thm)],[6376,3205]) ).
thf(7032,plain,
! [A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) @ sk2 )
!= w )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( int @ semiring_char_0 )
| ( A
!= ( nat @ zero_zero ) ) ),
inference(simp,[status(thm)],[6925]) ).
thf(7079,plain,
( ( ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ sk2 )
!= w )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( int @ semiring_char_0 ) ),
inference(simp,[status(thm)],[7032]) ).
thf(11261,plain,
( ( ( int @ zero_zero @ sk2 )
!= w )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ $true ),
inference(rewrite,[status(thm)],[7079,182,201]) ).
thf(11262,plain,
( ( ( int @ zero_zero @ sk2 )
!= w )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[11261]) ).
thf(83,axiom,
! [TA: $tType] :
( ( TA @ zero )
=> ! [A: TA] :
( ( ( TA @ zero_zero )
= A )
<=> ( A
= ( TA @ zero_zero ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_zero__reorient) ).
thf(431,plain,
! [TA: $tType] :
( ( TA @ zero )
=> ! [A: TA] :
( ( ( A
= ( TA @ zero_zero ) )
=> ( ( TA @ zero_zero )
= A ) )
& ( ( ( TA @ zero_zero )
= A )
=> ( A
= ( TA @ zero_zero ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(1770,plain,
! [A: nat] :
( ( ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( A @ ( A @ ( nat @ ord_less ) ) ) )
| ~ $true
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) ),
inference(paramod_ordered,[status(thm)],[1206,259]) ).
thf(1771,plain,
! [A: nat] :
( ( ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( A @ ( A @ ( nat @ ord_less ) ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) ),
inference(simp,[status(thm)],[1770]) ).
thf(1803,plain,
! [A: nat] :
( ( w != A )
| ( ( nat @ zero_zero )
!= A )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) ),
inference(simp,[status(thm)],[1771]) ).
thf(1805,plain,
( ( w
!= ( nat @ zero_zero ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) ),
inference(simp,[status(thm)],[1803]) ).
thf(306,plain,
! [B: int,A: int] :
( ( A @ ( B @ ( int @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( int @ ord_less ) ) ) ),
inference(cnfConj,[status(thm)],[305]) ).
thf(43034,plain,
( ( ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ~ $true
| ~ ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 ) ),
inference(paramod_ordered,[status(thm)],[617,42792]) ).
thf(43035,plain,
( ( ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
!= ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 ) ),
inference(simp,[status(thm)],[43034]) ).
thf(43036,plain,
( ~ ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 ) ),
inference(pattern_uni,[status(thm)],[43035:[]]) ).
thf(2636,plain,
( ( ( w @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) )
!= ( int @ zero_zero @ ( int @ zero_zero @ ( int @ ord_less ) ) ) )
| ~ $true
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(paramod_ordered,[status(thm)],[2633,2607]) ).
thf(2637,plain,
( ( ( w @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) )
!= ( int @ zero_zero @ ( int @ zero_zero @ ( int @ ord_less ) ) ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[2636]) ).
thf(2690,plain,
( ( ( w @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) )
| ( ( int @ zero_zero )
!= ( int @ zero_zero ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[2637]) ).
thf(2693,plain,
( ( ( w @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[2690]) ).
thf(4113,plain,
! [A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) @ sk1 @ ( int @ semiring_1_of_nat ) )
!= ( w @ ( int @ semiring_1_of_nat ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( int @ semiring_char_0 )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) ) ) ),
inference(paramod_ordered,[status(thm)],[1115,3150]) ).
thf(4173,plain,
! [A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) @ sk1 )
!= w )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( int @ semiring_char_0 )
| ( A
!= ( nat @ zero_zero ) ) ),
inference(simp,[status(thm)],[4113]) ).
thf(4181,plain,
( ( ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ sk1 )
!= w )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( int @ semiring_char_0 ) ),
inference(simp,[status(thm)],[4173]) ).
thf(8105,plain,
( ( ( int @ zero_zero @ sk1 )
!= w )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ $true ),
inference(rewrite,[status(thm)],[4181,182,201]) ).
thf(8106,plain,
( ( ( int @ zero_zero @ sk1 )
!= w )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(simp,[status(thm)],[8105]) ).
thf(63,axiom,
! [TA: $tType] :
( ( TA @ preorder )
=> ! [A: TA] : ( A @ ( A @ ( TA @ ord_less_eq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_order__refl) ).
thf(341,plain,
! [TA: $tType] :
( ( TA @ preorder )
=> ! [A: TA] : ( A @ ( A @ ( TA @ ord_less_eq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(342,plain,
! [TA: $tType,A: TA] :
( ( A @ ( A @ ( TA @ ord_less_eq ) ) )
| ~ ( TA @ preorder ) ),
inference(cnf,[status(esa)],[341]) ).
thf(458,plain,
! [A: nat] :
( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) ) ),
inference(cnfConj,[status(thm)],[457]) ).
thf(6,axiom,
! [TA: $tType] :
( ( TA @ linordered_semidom )
=> ! [A: nat] : ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less_eq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_of__nat__0__le__iff) ).
thf(145,plain,
! [TA: $tType] :
( ( TA @ linordered_semidom )
=> ! [A: nat] : ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less_eq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(327,plain,
! [C: nat,B: bool @ ( nat @ fun ),A: nat] :
( ( A @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ( C @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ~ ( A @ ( B @ sk8 ) @ ( C @ ( nat @ ord_less ) ) )
| ~ ( nat @ zero_zero @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp ) ),
inference(cnfConj,[status(thm)],[324]) ).
thf(25480,plain,
! [A: nat] :
( ( A != w )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less_eq ) ) ) ),
inference(paramod_ordered,[status(thm)],[415,1513]) ).
thf(25481,plain,
! [A: nat] :
( ( A != w )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less_eq ) ) ) ),
inference(simp,[status(thm)],[25480]) ).
thf(25482,plain,
( ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( nat @ zero_zero @ ( w @ ( nat @ ord_less_eq ) ) ) ),
inference(pattern_uni,[status(thm)],[25481:[bind(A,$thf( w ))]]) ).
thf(59348,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ preorder )
!= ( TZP @ preorder ) )
| ( TZP @ ( TZO @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[59000,347]) ).
thf(59349,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ preorder )
!= ( TZP @ preorder ) )
| ( TZP @ ( TZO @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[59348]) ).
thf(59350,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[59349:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) ))]]) ).
thf(59707,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ preorder )
!= ( TZQ @ preorder ) )
| ( TZQ @ ( TZP @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[59350,347]) ).
thf(59708,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType] :
( ( ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ preorder )
!= ( TZQ @ preorder ) )
| ( TZQ @ ( TZP @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[59707]) ).
thf(59709,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] : ( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[59708:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( nat @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) ))]]) ).
thf(12054,plain,
! [TA: $tType,A: nat] :
( ( ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ $true
| ~ ( TA @ linordered_semidom )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(paramod_ordered,[status(thm)],[1274,291]) ).
thf(12055,plain,
! [TA: $tType,A: nat] :
( ( ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[12054]) ).
thf(12056,plain,
! [TA: $tType] :
( ( w @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(pattern_uni,[status(thm)],[12055:[bind(A,$thf( w ))]]) ).
thf(12646,plain,
! [A: nat] :
( ( A
!= ( w @ ( nat @ semiring_1_of_nat ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[207,12405]) ).
thf(12647,plain,
! [A: nat] :
( ( A
!= ( w @ ( nat @ semiring_1_of_nat ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(simp,[status(thm)],[12646]) ).
thf(12648,plain,
( ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( w @ ( nat @ semiring_1_of_nat ) @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(pattern_uni,[status(thm)],[12647:[bind(A,$thf( w @ ( nat @ semiring_1_of_nat ) ))]]) ).
thf(263,plain,
! [B: nat,A: bool @ ( int @ fun )] :
( ( B @ ( int @ semiring_1_of_nat ) @ ( A @ ( bool @ ( int @ aa ) ) ) @ pp )
| ( A @ sk4 @ ( int @ zero_zero @ ( int @ ord_less_eq ) ) ) ),
inference(cnfConj,[status(thm)],[262]) ).
thf(307,plain,
! [B: int,A: int] :
( ( B != A )
| ~ ( A @ ( B @ ( int @ ord_less ) ) ) ),
inference(cnfConj,[status(thm)],[305]) ).
thf(309,plain,
! [B: int,A: int] :
( ~ ( A @ ( B @ ( int @ ord_less ) ) )
| ( B != A ) ),
inference(lifteq,[status(thm)],[307]) ).
thf(310,plain,
! [A: int] :
~ ( A @ ( A @ ( int @ ord_less ) ) ),
inference(simp,[status(thm)],[309]) ).
thf(6962,plain,
! [A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) @ sk2 @ ( int @ semiring_1_of_nat ) )
!= ( w @ ( int @ semiring_1_of_nat ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( int @ semiring_char_0 )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) ) ) ),
inference(paramod_ordered,[status(thm)],[6376,3150]) ).
thf(7023,plain,
! [A: nat] :
( ( ( A @ ( int @ semiring_1_of_nat ) @ sk2 )
!= w )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( int @ semiring_char_0 )
| ( A
!= ( nat @ zero_zero ) ) ),
inference(simp,[status(thm)],[6962]) ).
thf(7073,plain,
( ( ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) @ sk2 )
!= w )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ ( int @ semiring_char_0 ) ),
inference(simp,[status(thm)],[7023]) ).
thf(11212,plain,
( ( ( int @ zero_zero @ sk2 )
!= w )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ~ $true ),
inference(rewrite,[status(thm)],[7073,182,201]) ).
thf(11213,plain,
( ( ( int @ zero_zero @ sk2 )
!= w )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(simp,[status(thm)],[11212]) ).
thf(543,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( ( A @ ( TA @ sk15 ) @ ( A @ ( TA @ huffma410068972_depth ) ) )
= ( A @ ( TA @ huffma945805758height ) ) )
| ~ ( A @ ( TA @ huffma1518433673istent ) ) ),
inference(cnfConj,[status(thm)],[541]) ).
thf(544,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ~ ( A @ ( TA @ huffma1518433673istent ) )
| ( ( A @ ( TA @ sk15 ) @ ( A @ ( TA @ huffma410068972_depth ) ) )
= ( A @ ( TA @ huffma945805758height ) ) ) ),
inference(lifteq,[status(thm)],[543]) ).
thf(91,axiom,
! [A: nat,B: nat] :
( ( B != A )
<=> ( ( B @ ( A @ ( nat @ ord_less ) ) )
| ( A @ ( B @ ( nat @ ord_less ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_nat__neq__iff) ).
thf(470,plain,
! [A: nat,B: nat] :
( ( ( ( B @ ( A @ ( nat @ ord_less ) ) )
| ( A @ ( B @ ( nat @ ord_less ) ) ) )
=> ( B != A ) )
& ( ( B != A )
=> ( ( B @ ( A @ ( nat @ ord_less ) ) )
| ( A @ ( B @ ( nat @ ord_less ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(126,axiom,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: nat,C: TA,D: TA @ huffma1450048681e_tree] :
( ( D @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( ~ ( D @ ( TA @ huffma675207370phabet ) @ ( C @ ( TA @ member ) ) )
=> ( ( C @ ( A @ ( D @ ( B @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( C @ ( A @ ( TA @ huffma1401021291ibling ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_height__gt__0__notin__alphabet__imp__sibling__left) ).
thf(613,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree,B: nat,C: TA,D: TA @ huffma1450048681e_tree] :
( ( D @ ( TA @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( ~ ( D @ ( TA @ huffma675207370phabet ) @ ( C @ ( TA @ member ) ) )
=> ( ( C @ ( A @ ( D @ ( B @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= ( C @ ( A @ ( TA @ huffma1401021291ibling ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(123,axiom,
! [TA: $tType,TB: $tType,A: TA @ huffma1450048681e_tree,B: TA @ huffma1450048681e_tree,C: nat,D: TB @ ( TB @ fun ) @ ( TB @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( nat @ fun ),E: TB @ ( TA @ fun ) @ ( nat @ fun )] :
( ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( D @ ( E @ ( TB @ ( TA @ huffma1280178957ee_rec ) ) ) ) )
= ( A @ ( D @ ( E @ ( TB @ ( TA @ huffma1280178957ee_rec ) ) ) ) @ ( B @ ( D @ ( E @ ( TB @ ( TA @ huffma1280178957ee_rec ) ) ) ) @ ( A @ ( B @ ( C @ ( D @ ( TB @ ( TB @ fun ) @ ( TB @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( nat @ aa ) ) ) @ ( TB @ ( TB @ fun ) @ ( TB @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( TA @ huffma1450048681e_tree @ aa ) ) ) @ ( TB @ ( TB @ fun ) @ ( TB @ fun ) @ ( TA @ huffma1450048681e_tree @ aa ) ) ) @ ( TB @ ( TB @ fun ) @ ( TB @ aa ) ) ) @ ( TB @ ( TB @ aa ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_tree_Orecs_I2_J) ).
thf(600,plain,
! [TA: $tType,TB: $tType,A: TA @ huffma1450048681e_tree,B: TA @ huffma1450048681e_tree,C: nat,D: TB @ ( TB @ fun ) @ ( TB @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( nat @ fun ),E: TB @ ( TA @ fun ) @ ( nat @ fun )] :
( ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( D @ ( E @ ( TB @ ( TA @ huffma1280178957ee_rec ) ) ) ) )
= ( A @ ( D @ ( E @ ( TB @ ( TA @ huffma1280178957ee_rec ) ) ) ) @ ( B @ ( D @ ( E @ ( TB @ ( TA @ huffma1280178957ee_rec ) ) ) ) @ ( A @ ( B @ ( C @ ( D @ ( TB @ ( TB @ fun ) @ ( TB @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( nat @ aa ) ) ) @ ( TB @ ( TB @ fun ) @ ( TB @ fun ) @ ( TA @ huffma1450048681e_tree @ fun ) @ ( TA @ huffma1450048681e_tree @ aa ) ) ) @ ( TB @ ( TB @ fun ) @ ( TB @ fun ) @ ( TA @ huffma1450048681e_tree @ aa ) ) ) @ ( TB @ ( TB @ fun ) @ ( TB @ aa ) ) ) @ ( TB @ ( TB @ aa ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(335,plain,
! [TA: $tType,B: nat,A: TA] :
( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1450048681e_tree @ size_size ) )
= ( nat @ zero_zero ) ),
inference(cnf,[status(esa)],[334]) ).
thf(336,plain,
! [TA: $tType,B: nat,A: TA] :
( ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1450048681e_tree @ size_size ) )
= ( nat @ zero_zero ) ),
inference(lifteq,[status(thm)],[335]) ).
thf(154,plain,
! [B: nat,A: nat] :
( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) ),
inference(cnfConj,[status(thm)],[153]) ).
thf(536,plain,
! [TA: $tType,F: TA,E: TA @ huffma1450048681e_tree,D: nat,C: nat,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( E @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= F )
| ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
| ( E @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) ) ),
inference(cnfConj,[status(thm)],[533]) ).
thf(539,plain,
! [TA: $tType,F: TA,E: TA @ huffma1450048681e_tree,D: nat,C: nat,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
| ( E @ ( TA @ huffma675207370phabet ) @ ( F @ ( TA @ member ) ) )
| ( ( F @ ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) @ ( E @ ( D @ ( TA @ huffma1146269203erNode ) ) ) @ ( TA @ huffma1401021291ibling ) ) )
= F ) ),
inference(lifteq,[status(thm)],[536]) ).
thf(218,plain,
! [TA: $tType,B: nat,A: nat] :
( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less_eq ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(cnfConj,[status(thm)],[217]) ).
thf(36,axiom,
! [TA: $tType] :
( ( TA @ linordered_semidom )
=> ! [A: nat,B: nat] :
( ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
=> ( A @ ( B @ ( nat @ ord_less ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_of__nat__less__imp__less) ).
thf(250,plain,
! [TA: $tType] :
( ( TA @ linordered_semidom )
=> ! [A: nat,B: nat] :
( ( A @ ( TA @ semiring_1_of_nat ) @ ( B @ ( TA @ semiring_1_of_nat ) @ ( TA @ ord_less ) ) )
=> ( A @ ( B @ ( nat @ ord_less ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(465,plain,
! [C: nat @ ( nat @ fun ),B: nat,A: nat] :
( ( A @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( B @ ( C @ ( nat @ ( nat @ aa ) ) ) @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ( A @ ( B @ ( C @ sk12 ) ) @ ( A @ ( B @ ( C @ sk11 ) ) @ ( nat @ ord_less ) ) ) ),
inference(cnfConj,[status(thm)],[464]) ).
thf(93,axiom,
! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( B != A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_less__not__refl3) ).
thf(482,plain,
! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( B != A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(581,plain,
! [TA: $tType,A: TA @ huffma1450048681e_tree] :
( ( A @ ( TA @ huffma1393970616ptimum ) )
| ~ ( A @ ( TA @ sk16 ) @ ( TA @ huffma1134658180e_cost ) @ ( A @ ( TA @ huffma1134658180e_cost ) @ ( nat @ ord_less_eq ) ) ) ),
inference(cnfConj,[status(thm)],[578]) ).
thf(8492,plain,
! [B: nat,A: nat] :
( ( B
!= ( int @ zero_zero @ sk1 ) )
| ( A != w )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( B @ ( int @ semiring_1_of_nat ) )
!= ( A @ ( int @ semiring_1_of_nat ) ) ) ),
inference(paramod_ordered,[status(thm)],[225,8481]) ).
thf(8493,plain,
! [A: nat] :
( ( A != w )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( int @ zero_zero @ sk1 @ ( int @ semiring_1_of_nat ) )
!= ( A @ ( int @ semiring_1_of_nat ) ) ) ),
inference(pattern_uni,[status(thm)],[8492:[bind(A,$thf( A )),bind(B,$thf( int @ zero_zero @ sk1 ))]]) ).
thf(8515,plain,
( ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( int @ zero_zero @ sk1 @ ( int @ semiring_1_of_nat ) )
!= ( w @ ( int @ semiring_1_of_nat ) ) ) ),
inference(simp,[status(thm)],[8493]) ).
thf(19160,plain,
( ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( w @ ( int @ semiring_1_of_nat ) )
!= ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) ) ) ),
inference(rewrite,[status(thm)],[8515,3412]) ).
thf(16,axiom,
int @ semiring_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Osemiring__1) ).
thf(171,plain,
int @ semiring_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(80,axiom,
! [A: nat,B: nat] :
( ( ( B = A )
| ( A @ ( B @ ( nat @ ord_less ) ) ) )
=> ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_less__or__eq__imp__le) ).
thf(418,plain,
! [A: nat,B: nat] :
( ( ( B = A )
| ( A @ ( B @ ( nat @ ord_less ) ) ) )
=> ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(24950,plain,
! [A: nat] :
( ( A != w )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less_eq ) ) ) ),
inference(paramod_ordered,[status(thm)],[415,1345]) ).
thf(24951,plain,
! [A: nat] :
( ( A != w )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less_eq ) ) ) ),
inference(simp,[status(thm)],[24950]) ).
thf(24952,plain,
( ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ~ ( nat @ zero_zero @ ( w @ ( nat @ ord_less_eq ) ) ) ),
inference(pattern_uni,[status(thm)],[24951:[bind(A,$thf( w ))]]) ).
thf(564,plain,
! [TA: $tType,F: nat,E: TA @ huffma1450048681e_tree,D: TA @ huffma1450048681e_tree,C: nat,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( D = A )
| ( ( D @ ( E @ ( F @ ( TA @ huffma1146269203erNode ) ) ) )
!= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) ) ),
inference(cnfConj,[status(thm)],[561]) ).
thf(568,plain,
! [TA: $tType,F: nat,E: TA @ huffma1450048681e_tree,D: TA @ huffma1450048681e_tree,C: nat,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( D = A )
| ( ( D @ ( E @ ( F @ ( TA @ huffma1146269203erNode ) ) ) )
!= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) ) ),
inference(lifteq,[status(thm)],[564]) ).
thf(927,plain,
! [C: bool,B: nat,A: nat] :
( ( ( fTrue @ pp )
!= ( C @ pp ) )
| ~ $true
| ( ( A @ ( B @ ( C @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) )
= ( B @ ( int @ semiring_1_of_nat ) ) ) ),
inference(paramod_ordered,[status(thm)],[462,166]) ).
thf(928,plain,
! [C: bool,B: nat,A: nat] :
( ( ( fTrue @ pp )
!= ( C @ pp ) )
| ( ( A @ ( B @ ( C @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) )
= ( B @ ( int @ semiring_1_of_nat ) ) ) ),
inference(simp,[status(thm)],[927]) ).
thf(929,plain,
! [B: nat,A: nat] :
( ( A @ ( B @ ( fTrue @ ( nat @ if ) ) ) @ ( int @ semiring_1_of_nat ) )
= ( B @ ( int @ semiring_1_of_nat ) ) ),
inference(pattern_uni,[status(thm)],[928:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( fTrue ))]]) ).
thf(548,plain,
! [TA: $tType,E: nat,D: TA,C: nat,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( D @ ( E @ ( TA @ huffma2021818691e_Leaf ) ) )
!= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) ),
inference(cnf,[status(esa)],[547]) ).
thf(549,plain,
! [TA: $tType,E: nat,D: TA,C: nat,B: TA @ huffma1450048681e_tree,A: TA @ huffma1450048681e_tree] :
( ( D @ ( E @ ( TA @ huffma2021818691e_Leaf ) ) )
!= ( A @ ( B @ ( C @ ( TA @ huffma1146269203erNode ) ) ) ) ),
inference(lifteq,[status(thm)],[548]) ).
thf(8117,plain,
! [B: nat,A: nat] :
( ( B
!= ( int @ zero_zero @ sk1 ) )
| ( A != w )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( B @ ( int @ semiring_1_of_nat ) )
!= ( A @ ( int @ semiring_1_of_nat ) ) ) ),
inference(paramod_ordered,[status(thm)],[225,8106]) ).
thf(8118,plain,
! [A: nat] :
( ( A != w )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( int @ zero_zero @ sk1 @ ( int @ semiring_1_of_nat ) )
!= ( A @ ( int @ semiring_1_of_nat ) ) ) ),
inference(pattern_uni,[status(thm)],[8117:[bind(A,$thf( A )),bind(B,$thf( int @ zero_zero @ sk1 ))]]) ).
thf(8140,plain,
( ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( int @ zero_zero @ sk1 @ ( int @ semiring_1_of_nat ) )
!= ( w @ ( int @ semiring_1_of_nat ) ) ) ),
inference(simp,[status(thm)],[8118]) ).
thf(17941,plain,
( ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( w @ ( int @ semiring_1_of_nat ) )
!= ( nat @ zero_zero @ ( int @ semiring_1_of_nat ) ) ) ),
inference(rewrite,[status(thm)],[8140,3412]) ).
thf(715,plain,
! [A: bool] :
( ( fTrue != fTrue )
| ( A @ pp )
| ( A = fFalse ) ),
inference(paramod_ordered,[status(thm)],[144,462]) ).
thf(716,plain,
! [A: bool] :
( ( A @ pp )
| ( A = fFalse ) ),
inference(pattern_uni,[status(thm)],[715:[]]) ).
thf(300,plain,
! [B: bool @ ( nat @ fun ),A: nat] :
( ( A @ ( A @ ( B @ sk6 ) @ ( nat @ ord_less_eq ) ) )
| ~ ( A @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ( nat @ zero_zero @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp ) ),
inference(cnfConj,[status(thm)],[299]) ).
thf(10836,plain,
! [A: nat] :
( ( ( w @ ( int @ semiring_1_of_nat ) @ sk3 @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( nat @ zero_zero @ ( A @ ( nat @ ord_less ) ) ) )
| ~ $true
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(paramod_ordered,[status(thm)],[6834,316]) ).
thf(10837,plain,
! [A: nat] :
( ( ( w @ ( int @ semiring_1_of_nat ) @ sk3 @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( nat @ zero_zero @ ( A @ ( nat @ ord_less ) ) ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(simp,[status(thm)],[10836]) ).
thf(10961,plain,
! [A: nat] :
( ( ( w @ ( int @ semiring_1_of_nat ) @ sk3 )
!= ( nat @ zero_zero ) )
| ( ( nat @ zero_zero )
!= A )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(simp,[status(thm)],[10837]) ).
thf(10981,plain,
( ( ( w @ ( int @ semiring_1_of_nat ) @ sk3 )
!= ( nat @ zero_zero ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(simp,[status(thm)],[10961]) ).
thf(11033,plain,
! [A: nat] :
( ( A
!= ( w @ ( int @ semiring_1_of_nat ) @ sk3 ) )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[207,10981]) ).
thf(11034,plain,
! [A: nat] :
( ( A
!= ( w @ ( int @ semiring_1_of_nat ) @ sk3 ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(simp,[status(thm)],[11033]) ).
thf(11035,plain,
( ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( w @ ( int @ semiring_1_of_nat ) @ sk3 @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(pattern_uni,[status(thm)],[11034:[bind(A,$thf( w @ ( int @ semiring_1_of_nat ) @ sk3 ))]]) ).
thf(60811,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType,TZZR: $tType,TZZS: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ( TZZQ @ fun ) @ ord )
!= ( TZZS @ ord ) )
| ( TZZS @ ( TZZR @ fun ) @ ord )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[59677,296]) ).
thf(60812,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType,TZZR: $tType,TZZS: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ( TZZQ @ fun ) @ ord )
!= ( TZZS @ ord ) )
| ( TZZS @ ( TZZR @ fun ) @ ord ) ),
inference(simp,[status(thm)],[60811]) ).
thf(60813,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType,TZR: $tType,TZS: $tType,TZT: $tType,TZU: $tType,TZV: $tType,TZW: $tType,TZX: $tType,TZY: $tType,TZZ: $tType,TZZA: $tType,TZZB: $tType,TZZC: $tType,TZZD: $tType,TZZE: $tType,TZZF: $tType,TZZG: $tType,TZZH: $tType,TZZI: $tType,TZZJ: $tType,TZZK: $tType,TZZL: $tType,TZZM: $tType,TZZN: $tType,TZZO: $tType,TZZP: $tType,TZZQ: $tType,TZZR: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ( TZZQ @ fun ) @ ( TZZR @ fun ) @ ord ),
inference(pattern_uni,[status(thm)],[60812:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( TZQ )),bind_type(TZR,$thf( TZR )),bind_type(TZS,$thf( TZS )),bind_type(TZT,$thf( TZT )),bind_type(TZU,$thf( TZU )),bind_type(TZV,$thf( TZV )),bind_type(TZW,$thf( TZW )),bind_type(TZX,$thf( TZX )),bind_type(TZY,$thf( TZY )),bind_type(TZZ,$thf( TZZ )),bind_type(TZZA,$thf( TZZA )),bind_type(TZZB,$thf( TZZB )),bind_type(TZZC,$thf( TZZC )),bind_type(TZZD,$thf( TZZD )),bind_type(TZZE,$thf( TZZE )),bind_type(TZZF,$thf( TZZF )),bind_type(TZZG,$thf( TZZG )),bind_type(TZZH,$thf( TZZH )),bind_type(TZZI,$thf( TZZI )),bind_type(TZZJ,$thf( TZZJ )),bind_type(TZZK,$thf( TZZK )),bind_type(TZZL,$thf( TZZL )),bind_type(TZZM,$thf( TZZM )),bind_type(TZZN,$thf( TZZN )),bind_type(TZZO,$thf( TZZO )),bind_type(TZZP,$thf( TZZP )),bind_type(TZZQ,$thf( TZZQ )),bind_type(TZZR,$thf( TZZR )),bind_type(TZZS,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ ( TZQ @ fun ) @ ( TZR @ fun ) @ ( TZS @ fun ) @ ( TZT @ fun ) @ ( TZU @ fun ) @ ( TZV @ fun ) @ ( TZW @ fun ) @ ( TZX @ fun ) @ ( TZY @ fun ) @ ( TZZ @ fun ) @ ( TZZA @ fun ) @ ( TZZB @ fun ) @ ( TZZC @ fun ) @ ( TZZD @ fun ) @ ( TZZE @ fun ) @ ( TZZF @ fun ) @ ( TZZG @ fun ) @ ( TZZH @ fun ) @ ( TZZI @ fun ) @ ( TZZJ @ fun ) @ ( TZZK @ fun ) @ ( TZZL @ fun ) @ ( TZZM @ fun ) @ ( TZZN @ fun ) @ ( TZZO @ fun ) @ ( TZZP @ fun ) @ ( TZZQ @ fun ) ))]]) ).
thf(20,axiom,
! [A: nat,B: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) )
<=> ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_zle__int) ).
thf(183,plain,
! [A: nat,B: nat] :
( ( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
=> ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) ) )
& ( ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less_eq ) ) )
=> ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(270,plain,
! [B: nat,A: nat] :
( ( B = A )
| ( A @ ( B @ ( nat @ ord_less ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less_eq ) ) ) ),
inference(cnfConj,[status(thm)],[269]) ).
thf(273,plain,
! [B: nat,A: nat] :
( ( A @ ( B @ ( nat @ ord_less ) ) )
| ~ ( A @ ( B @ ( nat @ ord_less_eq ) ) )
| ( B = A ) ),
inference(lifteq,[status(thm)],[270]) ).
thf(146,plain,
! [TA: $tType,A: nat] :
( ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less_eq ) ) )
| ~ ( TA @ linordered_semidom ) ),
inference(cnf,[status(esa)],[145]) ).
thf(12138,plain,
! [TA: $tType,A: nat] :
( ( ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ $true
| ~ ( TA @ linordered_semidom )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(paramod_ordered,[status(thm)],[1293,291]) ).
thf(12139,plain,
! [TA: $tType,A: nat] :
( ( ( w @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ( A @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(simp,[status(thm)],[12138]) ).
thf(12140,plain,
! [TA: $tType] :
( ( w @ ( TA @ semiring_1_of_nat ) @ ( TA @ zero_zero @ ( TA @ ord_less ) ) )
| ~ ( TA @ linordered_semidom )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 ) ),
inference(pattern_uni,[status(thm)],[12139:[bind(A,$thf( w ))]]) ).
thf(25,axiom,
! [A: nat,B: nat] :
( ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) )
<=> ( A @ ( B @ ( nat @ ord_less ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_zless__int) ).
thf(210,plain,
! [A: nat,B: nat] :
( ( ( A @ ( B @ ( nat @ ord_less ) ) )
=> ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) ) )
& ( ( A @ ( int @ semiring_1_of_nat ) @ ( B @ ( int @ semiring_1_of_nat ) @ ( int @ ord_less ) ) )
=> ( A @ ( B @ ( nat @ ord_less ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(779,plain,
( ( a != a )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) ) ),
inference(simp,[status(thm)],[768]) ).
thf(789,plain,
( ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) ) ),
inference(simp,[status(thm)],[779]) ).
thf(54253,plain,
( ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) )
!= a ) ),
inference(rewrite,[status(thm)],[789,54094]) ).
thf(326,plain,
! [B: bool @ ( nat @ fun ),A: nat] :
( ( A @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ~ ( A @ ( B @ sk8 ) @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp )
| ~ ( nat @ zero_zero @ ( B @ ( bool @ ( nat @ aa ) ) ) @ pp ) ),
inference(cnfConj,[status(thm)],[324]) ).
thf(3631,plain,
! [A: nat] :
( ( A != w )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[207,1513]) ).
thf(3632,plain,
! [A: nat] :
( ( A != w )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(simp,[status(thm)],[3631]) ).
thf(3633,plain,
( ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_2 )
| ( t_2 != t_1 )
| ( ( w @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(pattern_uni,[status(thm)],[3632:[bind(A,$thf( w ))]]) ).
thf(527,plain,
! [TA: $tType,E: nat,D: TA @ huffma1450048681e_tree,C: TA @ huffma1450048681e_tree,B: nat,A: TA] :
( ( C @ ( D @ ( E @ ( TA @ huffma1146269203erNode ) ) ) )
!= ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) ) ),
inference(cnf,[status(esa)],[526]) ).
thf(528,plain,
! [TA: $tType,E: nat,D: TA @ huffma1450048681e_tree,C: TA @ huffma1450048681e_tree,B: nat,A: TA] :
( ( C @ ( D @ ( E @ ( TA @ huffma1146269203erNode ) ) ) )
!= ( A @ ( B @ ( TA @ huffma2021818691e_Leaf ) ) ) ),
inference(lifteq,[status(thm)],[527]) ).
thf(60098,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ preorder )
!= ( TZQ @ preorder ) )
| ( TZQ @ ( TZP @ fun ) @ preorder )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[59364,347]) ).
thf(60099,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType,TZQ: $tType] :
( ( ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ preorder )
!= ( TZQ @ preorder ) )
| ( TZQ @ ( TZP @ fun ) @ preorder ) ),
inference(simp,[status(thm)],[60098]) ).
thf(60100,plain,
! [TA: $tType,TB: $tType,TC: $tType,TD: $tType,TE: $tType,TF: $tType,TG: $tType,TH: $tType,TI: $tType,TJ: $tType,TK: $tType,TL: $tType,TM: $tType,TN: $tType,TO: $tType,TP: $tType,TQ: $tType,TR: $tType,TS: $tType,TT: $tType,TU: $tType,TV: $tType,TW: $tType,TX: $tType,TY: $tType,TZ: $tType,TZA: $tType,TZB: $tType,TZC: $tType,TZD: $tType,TZE: $tType,TZF: $tType,TZG: $tType,TZH: $tType,TZI: $tType,TZJ: $tType,TZK: $tType,TZL: $tType,TZM: $tType,TZN: $tType,TZO: $tType,TZP: $tType] : ( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) @ ( TZP @ fun ) @ preorder ),
inference(pattern_uni,[status(thm)],[60099:[bind_type(TA,$thf( TA )),bind_type(TB,$thf( TB )),bind_type(TC,$thf( TC )),bind_type(TD,$thf( TD )),bind_type(TE,$thf( TE )),bind_type(TF,$thf( TF )),bind_type(TG,$thf( TG )),bind_type(TH,$thf( TH )),bind_type(TI,$thf( TI )),bind_type(TJ,$thf( TJ )),bind_type(TK,$thf( TK )),bind_type(TL,$thf( TL )),bind_type(TM,$thf( TM )),bind_type(TN,$thf( TN )),bind_type(TO,$thf( TO )),bind_type(TP,$thf( TP )),bind_type(TQ,$thf( TQ )),bind_type(TR,$thf( TR )),bind_type(TS,$thf( TS )),bind_type(TT,$thf( TT )),bind_type(TU,$thf( TU )),bind_type(TV,$thf( TV )),bind_type(TW,$thf( TW )),bind_type(TX,$thf( TX )),bind_type(TY,$thf( TY )),bind_type(TZ,$thf( TZ )),bind_type(TZA,$thf( TZA )),bind_type(TZB,$thf( TZB )),bind_type(TZC,$thf( TZC )),bind_type(TZD,$thf( TZD )),bind_type(TZE,$thf( TZE )),bind_type(TZF,$thf( TZF )),bind_type(TZG,$thf( TZG )),bind_type(TZH,$thf( TZH )),bind_type(TZI,$thf( TZI )),bind_type(TZJ,$thf( TZJ )),bind_type(TZK,$thf( TZK )),bind_type(TZL,$thf( TZL )),bind_type(TZM,$thf( TZM )),bind_type(TZN,$thf( TZN )),bind_type(TZO,$thf( TZO )),bind_type(TZP,$thf( TZP )),bind_type(TZQ,$thf( int @ ( TA @ fun ) @ ( TB @ fun ) @ ( TC @ fun ) @ ( TD @ fun ) @ ( TE @ fun ) @ ( TF @ fun ) @ ( TG @ fun ) @ ( TH @ fun ) @ ( TI @ fun ) @ ( TJ @ fun ) @ ( TK @ fun ) @ ( TL @ fun ) @ ( TM @ fun ) @ ( TN @ fun ) @ ( TO @ fun ) @ ( TP @ fun ) @ ( TQ @ fun ) @ ( TR @ fun ) @ ( TS @ fun ) @ ( TT @ fun ) @ ( TU @ fun ) @ ( TV @ fun ) @ ( TW @ fun ) @ ( TX @ fun ) @ ( TY @ fun ) @ ( TZ @ fun ) @ ( TZA @ fun ) @ ( TZB @ fun ) @ ( TZC @ fun ) @ ( TZD @ fun ) @ ( TZE @ fun ) @ ( TZF @ fun ) @ ( TZG @ fun ) @ ( TZH @ fun ) @ ( TZI @ fun ) @ ( TZJ @ fun ) @ ( TZK @ fun ) @ ( TZL @ fun ) @ ( TZM @ fun ) @ ( TZN @ fun ) @ ( TZO @ fun ) ))]]) ).
thf(500,plain,
! [TA: $tType,TB: $tType,D: TA @ ( TB @ fun ) @ ( nat @ fun ),C: TA @ ( TB @ huffma1450048681e_tree @ fun ) @ ( TB @ huffma1450048681e_tree @ fun ) @ ( nat @ fun ),B: nat,A: TB] :
( ( A @ ( B @ ( TB @ huffma2021818691e_Leaf ) ) @ ( C @ ( D @ ( TA @ ( TB @ huffma107959123e_case ) ) ) ) )
= ( A @ ( B @ ( D @ ( TA @ ( TB @ fun ) @ ( nat @ aa ) ) ) @ ( TA @ ( TB @ aa ) ) ) ) ),
inference(cnf,[status(esa)],[499]) ).
thf(501,plain,
! [TA: $tType,TB: $tType,D: TA @ ( TB @ fun ) @ ( nat @ fun ),C: TA @ ( TB @ huffma1450048681e_tree @ fun ) @ ( TB @ huffma1450048681e_tree @ fun ) @ ( nat @ fun ),B: nat,A: TB] :
( ( A @ ( B @ ( TB @ huffma2021818691e_Leaf ) ) @ ( C @ ( D @ ( TA @ ( TB @ huffma107959123e_case ) ) ) ) )
= ( A @ ( B @ ( D @ ( TA @ ( TB @ fun ) @ ( nat @ aa ) ) ) @ ( TA @ ( TB @ aa ) ) ) ) ),
inference(lifteq,[status(thm)],[500]) ).
thf(41,axiom,
! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
=> ( ( B != A )
=> ( A @ ( B @ ( nat @ ord_less ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_le__neq__implies__less) ).
thf(277,plain,
! [A: nat,B: nat] :
( ( A @ ( B @ ( nat @ ord_less_eq ) ) )
=> ( ( B != A )
=> ( A @ ( B @ ( nat @ ord_less ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(321,plain,
! [TA: $tType,TB: $tType,B: TA @ ( TB @ fun ),A: TA @ ( TB @ fun )] :
( ( B = A )
| ( ( A @ ( B @ ( TA @ ( TB @ sk7 ) ) ) @ ( B @ ( TA @ ( TB @ aa ) ) ) )
!= ( A @ ( B @ ( TA @ ( TB @ sk7 ) ) ) @ ( A @ ( TA @ ( TB @ aa ) ) ) ) ) ),
inference(cnf,[status(esa)],[320]) ).
thf(322,plain,
! [TA: $tType,TB: $tType,B: TA @ ( TB @ fun ),A: TA @ ( TB @ fun )] :
( ( B = A )
| ( ( A @ ( B @ ( TA @ ( TB @ sk7 ) ) ) @ ( B @ ( TA @ ( TB @ aa ) ) ) )
!= ( A @ ( B @ ( TA @ ( TB @ sk7 ) ) ) @ ( A @ ( TA @ ( TB @ aa ) ) ) ) ) ),
inference(lifteq,[status(thm)],[321]) ).
thf(68,axiom,
! [A: nat] :
( ( A
!= ( nat @ zero_zero ) )
<=> ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_neq0__conv) ).
thf(354,plain,
! [A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
=> ( A
!= ( nat @ zero_zero ) ) )
& ( ( A
!= ( nat @ zero_zero ) )
=> ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(647,plain,
( ( ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( a != a )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[637]) ).
thf(656,plain,
( ( ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_1 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(simp,[status(thm)],[647]) ).
thf(54259,plain,
( ( ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) )
!= a )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ) ),
inference(rewrite,[status(thm)],[656,54094]) ).
thf(59196,plain,
! [B: a1 @ huffma1450048681e_tree,A: a1] :
( ( ( A @ ( B @ ( a1 @ huffma1401021291ibling ) ) )
!= ( a @ ( t_2 @ ( a1 @ huffma1401021291ibling ) ) ) )
| ( A != a )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( B @ ( a1 @ huffma945805758height ) )
!= ( nat @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[576,54259]) ).
thf(59197,plain,
( ( a != a )
| ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( t_2 @ ( a1 @ huffma945805758height ) )
!= ( nat @ zero_zero ) ) ),
inference(pattern_uni,[status(thm)],[59196:[bind(A,$thf( a )),bind(B,$thf( t_2 ))]]) ).
thf(59270,plain,
( ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( t_2 @ ( a1 @ huffma945805758height ) )
!= ( nat @ zero_zero ) ) ),
inference(simp,[status(thm)],[59197]) ).
thf(61081,plain,
( ( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) ) ),
inference(rewrite,[status(thm)],[59270,60611]) ).
thf(61082,plain,
( ( t_2 @ ( t_1 @ ( w @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 ),
inference(simp,[status(thm)],[61081]) ).
thf(30,axiom,
! [A: nat,B: nat] :
( ( ( B @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) )
<=> ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_int__int__eq) ).
thf(232,plain,
! [A: nat,B: nat] :
( ( ( B = A )
=> ( ( B @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) ) )
& ( ( ( B @ ( int @ semiring_1_of_nat ) )
= ( A @ ( int @ semiring_1_of_nat ) ) )
=> ( B = A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(43031,plain,
! [A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ $true
| ~ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) ) ),
inference(paramod_ordered,[status(thm)],[458,42792]) ).
thf(43032,plain,
! [A: nat] :
( ( ( A @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
!= ( t_1 @ ( a1 @ huffma945805758height ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ) )
| ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ ( A @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) ) ),
inference(simp,[status(thm)],[43031]) ).
thf(43033,plain,
( ~ ( t_1 @ ( a1 @ huffma675207370phabet ) @ ( a @ ( a1 @ member ) ) )
| ~ ( t_1 @ ( a1 @ huffma945805758height ) @ ( int @ semiring_1_of_nat ) @ ( int @ zero_zero @ ( int @ ord_less ) ) ) ),
inference(pattern_uni,[status(thm)],[43032:[bind(A,$thf( t_1 @ ( a1 @ huffma945805758height ) ))]]) ).
thf(12577,plain,
! [A: nat] :
( ( A
!= ( w @ ( nat @ semiring_1_of_nat ) ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( nat @ zero_zero )
!= ( nat @ zero_zero ) )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(paramod_ordered,[status(thm)],[207,12404]) ).
thf(12578,plain,
! [A: nat] :
( ( A
!= ( w @ ( nat @ semiring_1_of_nat ) ) )
| ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( A @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(simp,[status(thm)],[12577]) ).
thf(12579,plain,
( ( t_2 != t_1 )
| ( ( t_2 @ ( t_1 @ ( nat @ zero_zero @ ( a1 @ huffma1146269203erNode ) ) ) )
!= t_1 )
| ( ( w @ ( nat @ semiring_1_of_nat ) @ ( int @ semiring_1_of_nat ) )
!= ( int @ zero_zero ) ) ),
inference(pattern_uni,[status(thm)],[12578:[bind(A,$thf( w @ ( nat @ semiring_1_of_nat ) ))]]) ).
thf(12415,plain,
! [A: nat] :
( ( ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) )
!= ( A @ ( nat @ semiring_1_of_nat ) ) )
| ~ ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ ( nat @ linordered_semidom ) ),
inference(paramod_ordered,[status(thm)],[12331,2205]) ).
thf(12416,plain,
( ~ ( nat @ zero_zero @ ( nat @ semiring_1_of_nat ) @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ ( nat @ linordered_semidom ) ),
inference(pattern_uni,[status(thm)],[12415:[bind(A,$thf( nat @ zero_zero ))]]) ).
thf(13310,plain,
( ~ ( nat @ zero_zero @ ( nat @ zero_zero @ ( nat @ ord_less ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[12416,240,12331]) ).
thf(13311,plain,
~ ( nat @ zero_zero @ ( nat @ zero_zero @ ( nat @ ord_less ) ) ),
inference(simp,[status(thm)],[13310]) ).
thf(96,axiom,
! [A: nat] :
~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_less__nat__zero__code) ).
thf(496,plain,
! [A: nat] :
~ ( nat @ zero_zero @ ( A @ ( nat @ ord_less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(451,plain,
! [TA: $tType,C: TA,B: TA,A: nat] :
( ( ( C @ ( B @ ( A @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= ( nat @ zero_zero ) )
| ( C = B ) ),
inference(cnfConj,[status(thm)],[449]) ).
thf(454,plain,
! [TA: $tType,C: TA,B: TA,A: nat] :
( ( ( C @ ( B @ ( A @ ( TA @ huffma2021818691e_Leaf ) ) @ ( TA @ huffma1352802255e_freq ) @ ( nat @ ( TA @ aa ) ) ) )
= ( nat @ zero_zero ) )
| ( C = B ) ),
inference(lifteq,[status(thm)],[451]) ).
thf(64283,plain,
$false,
inference(e,[status(thm)],[41742,12570,51636,33954,555,481,45875,58090,138,25071,3399,54256,347,15257,15303,13783,333,249,21012,27633,2077,170,42005,276,61174,15293,247,379,511,523,582,59364,22788,19391,27596,202,597,16437,1041,384,21139,26004,2035,550,142,38812,59337,59268,340,538,2607,43523,46420,14964,52002,27607,44960,42837,44987,54514,42809,288,12543,57542,301,320,41305,257,17924,49254,23112,58109,1967,15990,372,504,587,16146,40322,49240,23551,25781,389,25993,39444,14007,157,542,460,559,42295,58070,189,15742,284,54528,228,41337,52021,448,316,13786,6579,38118,1115,54482,24536,325,20790,50871,216,40246,492,59028,179,60794,12828,15748,59000,40994,19113,53790,37349,514,44112,348,574,397,280,12536,293,453,133,44506,1345,428,507,59696,24762,147,57581,58987,6498,243,17933,51982,312,2205,13440,1206,18520,53266,529,42314,41292,201,51694,33972,220,8481,11528,292,512,439,15751,18513,21133,381,25753,38080,1274,334,43045,42823,21402,14222,14973,297,424,192,788,53811,37383,21083,40680,24322,302,260,57528,349,20989,24059,8645,160,467,566,252,42337,12822,16440,522,21054,53246,25402,49267,58042,56982,16159,15296,197,42275,13789,51675,21470,461,57794,493,15999,14013,20816,15984,156,21034,41947,33989,10335,3386,169,48504,46381,141,519,12521,12404,317,40194,25765,3205,499,13790,15987,225,339,41729,44071,669,12639,39412,526,489,40299,13309,21042,547,21001,328,256,193,537,12454,41273,11742,21453,52044,53776,1002,12533,21162,50177,37406,23107,45943,12831,503,605,49213,42792,45323,1814,508,21485,24530,46401,48526,398,558,51968,39431,19354,33819,343,15290,1241,266,25748,60611,21023,40155,23085,166,40230,40714,573,16152,444,149,375,23122,298,513,430,13907,148,33767,264,161,19365,50209,296,584,47338,176,24353,50196,57020,286,577,291,27618,60832,281,545,259,22772,191,59658,57562,21151,445,313,3726,12524,19376,466,41319,44098,12825,350,540,159,59381,50852,41986,14010,144,57999,181,44973,13300,43540,604,50884,172,274,40981,38839,47406,230,245,57486,24344,51656,5671,219,20801,57001,362,567,59677,50833,55132,303,387,494,14979,14016,323,54501,520,240,19157,15993,1293,330,53218,53232,6834,345,60774,552,367,59050,15745,19146,3150,462,6376,20992,1112,399,21065,11262,38793,455,34010,267,505,431,1805,25982,54965,394,306,2633,17940,41046,241,43036,3876,2693,46724,48470,41008,15757,16589,54978,8106,342,458,16143,40694,39462,531,50901,24789,19135,617,516,47469,54946,553,48484,145,42857,38857,24774,41967,525,20983,295,150,327,53749,25482,409,282,37363,45894,59709,38825,12056,12648,20779,263,310,54927,182,331,370,502,16446,21464,11213,44424,3412,544,463,24548,42022,49226,127,12405,470,576,44168,613,600,50223,314,571,33785,21028,16443,22804,21414,336,154,41760,50240,175,58056,56962,53289,556,539,38094,53762,218,41710,41022,51709,45926,250,465,27623,482,54094,40666,581,12527,17930,6831,54820,42261,25998,26013,139,33802,24756,19160,517,13303,319,171,23096,418,12836,45913,24952,14970,568,290,16149,510,207,929,20768,44084,1513,549,17941,40737,43424,13780,59014,33834,346,21440,24333,716,287,151,300,47455,47508,21408,11035,168,21458,19124,60813,183,790,273,12515,410,48456,57234,146,47489,59350,12140,373,603,210,242,18527,18506,44941,18538,1891,37335,532,40175,54253,283,326,33942,294,136,341,14967,21426,46439,21177,39393,38053,25759,3633,49584,10981,415,59318,528,60100,24750,200,15287,40280,501,369,12530,40260,24559,22794,17927,22783,277,19343,254,322,337,24310,354,24574,12331,61082,232,41691,486,21076,43033,12579,47857,560,38066,13306,43015,40213,13311,496,454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW542_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.09 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.15/0.42 % Computer : n010.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sat Sep 26 16:12:00 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.69/0.72 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.37/0.90 % [INFO] Parsing done (177ms).
% 1.37/0.91 % [INFO] Running in sequential loop mode.
% 1.87/1.12 % [INFO] eprover registered as external prover.
% 2.13/1.13 % [INFO] Scanning for conjecture ...
% 2.50/1.30 % [INFO] Found a conjecture (or negated_conjecture) and 124 axioms. Running axiom selection ...
% 2.75/1.44 % [INFO] Axiom selection finished. Selected 124 axioms (removed 0 axioms).
% 3.41/1.66 % [INFO] Problem is typed first-order (TPTP TFF).
% 3.41/1.68 % [INFO] Type checking passed.
% 3.41/1.69 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 4.25/1.98 % [INFO] [Domain constraints] Detected constraint on bool
% 4.25/1.98 % [INFO] [Domain constraints] dom(bool) ⊆ {fTrue,fFalse}
% 256.49/74.01 % External prover 'e' found a proof!
% 256.49/74.01 % [INFO] Killing All external provers ...
% 256.49/74.01 % Time passed: 73494ms (effective reasoning time: 73096ms)
% 256.49/74.01 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 256.49/74.01 % Axioms used in derivation (124): fact_4_height__gt__0__notin__alphabet__imp__sibling__left, fact_46_of__nat__less__0__iff, fact_63_le__neq__implies__less, arity_HOL_Obool___Orderings_Oord, fact_11_less__zeroE, fact_67_eq__imp__le, arity_HOL_Obool___Orderings_Opreorder, arity_Nat_Onat___Rings_Osemiring__1, fact_85_transfer__int__nat__relations_I3_J, fact_39_tree_Oexhaust, fact_56_le0, fact_61_le__eq__less__or__eq, fact_77_zless__int, arity_Int_Oint___Orderings_Oord, fact_5_height__gt__0__notin__alphabet__imp__sibling__right, fact_3_notin__alphabet__imp__sibling__id, arity_fun___Orderings_Oord, fact_9_neq0__conv, arity_Nat_Onat___Orderings_Opreorder, fact_49_notin__alphabet__imp__freq__0, fact_10_less__nat__zero__code, arity_Int_Oint___Orderings_Opreorder, fact_57_of__nat__le__iff, fact_81_transfer__int__nat__numerals_I1_J, fact_75_mem__def, fact_59_int__int__eq, fact_60_nat__less__le, fact_18_sibling_Osimps_I2_J, fact_32_less__irrefl__nat, fact_29_nat__less__cases, fact_80_transfer__int__nat__relations_I2_J, fact_71_zero__le__imp__of__nat, fact_86_less__int__def, fact_53_tree_Orecs_I2_J, fact_42_infinite__descent0, arity_Int_Oint___Rings_Osemiring__1, arity_HOL_Obool___Orderings_Olinorder, fact_97_le__fun__def, fact_30_less__not__refl3, fact_74_ext, fact_88_zero__zle__int, fact_14_gr__implies__not0, fact_15_gr0I, help_If_1_1_T, fact_25_tree_Osimps_I4_J, fact_45_of__nat__less__iff, fact_51_optimum__def, arity_Nat_Onat___Orderings_Olinorder, fact_66_le__trans, fact_37_depth_Osimps_I1_J, arity_fun___Orderings_Opreorder, fact_12_height__gt__0__alphabet__eq__imp__height__gt__0, fact_68_nat__le__linear, fact_69_le__refl, fact_93_nonneg__eq__int, fact_34_nat__neq__iff, fact_83_transfer__int__nat__quantifiers_I2_J, fact_78_zero__less__imp__eq__int, fact_94_zero__le__imp__eq__int, fact_28_zero__reorient, arity_Int_Oint___Orderings_Olinorder, fact_72_depth__le__height, arity_Nat_Onat___Rings_Olinordered__semidom, fact_84_transfer__int__nat__quantifiers_I1_J, fact_87_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J, fact_7_height__gt__0__in__alphabet__imp__sibling__right, fact_98_linorder__linear, fact_38_of__nat__0__less__iff, arity_Nat_Onat___Groups_Ozero, fact_26_tree_Osimps_I3_J, fact_31_less__not__refl2, arity_Nat_Onat___Orderings_Oord, help_If_3_1_T, help_If_2_1_T, fact_82_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J, fact_35_less__not__refl, fact_8_height__0__imp__sibling__id, fact_91_transfer__int__nat__relations_I1_J, fact_90_int__le__0__conv, fact_50_zero__less__int__conv, fact_36_tree_Osize_I3_J, arity_Nat_Onat___Nat_Osemiring__char__0, fact_23_cost_Osimps_I1_J, fact_20_tree_Osimps_I1_J, fact_44_of__nat__0, fact_58_int__less__0__conv, fact_16_tree_Osimps_I6_J, fact_47_less__imp__of__nat__less, fact_64_less__or__eq__imp__le, fact_13_not__less0, fact_27_sibling_Osimps_I1_J, fact_54_le__0__eq, fact_22_height_Osimps_I1_J, fact_17_exists__in__alphabet, fact_0_tree_Osimps_I2_J, fact_70_of__nat__0__le__iff, fact_33_linorder__neqE__nat, fact_52_tree_Orecs_I1_J, help_pp_1_1_U, fact_76_int__0, fact_62_less__imp__le__nat, fact_65_le__antisym, fact_43_of__nat__eq__iff, fact_21_consistent_Osimps_I1_J, fact_55_less__eq__nat_Osimps_I1_J, fact_2_sibling_Osimps_I3_J, fact_73_int__eq__0__conv, fact_40_freq_Osimps_I1_J, fact_6_height__gt__0__in__alphabet__imp__sibling__left, conj_0, arity_Int_Oint___Nat_Osemiring__char__0, help_pp_2_1_U, arity_Int_Oint___Rings_Olinordered__semidom, fact_89_zle__int, arity_Int_Oint___Groups_Ozero, fact_95_less__mono__imp__le__mono, fact_92_int__if__cong, fact_79_ex__least__nat__le, fact_48_of__nat__less__imp__less, fact_41_exists__at__height, fact_1_sibling_Osimps_I4_J, fact_24_tree_Osimps_I5_J, fact_19_height__0__imp__cost__0, fact_96_order__refl
% 256.49/74.01 % No. of inferences in proof: 1848
% 256.49/74.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 73494 ms resp. 73096 ms w/o parsing
% 260.49/74.63 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 260.49/74.64 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------