%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT213_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 : Tue Sep 29 12:37:47 PM UTC 2026
% Result : Theorem 12.80s 2.38s
% Output : Refutation 12.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 17
% Syntax : Number of formulae : 150 ( 25 unt; 0 typ; 6 def)
% Number of atoms : 672 ( 204 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 788 ( 266 ~; 497 |; 4 &)
% ( 10 <=>; 8 =>; 0 <=; 3 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 33 ( 31 usr; 7 prp; 0-8 aty)
% Number of functors : 124 ( 124 usr; 13 con; 0-7 aty)
% Number of variables : 284 ( 0 sgn 281 !; 3 ?; 284 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
arrow_411405190le_alt: $tType ).
tff(type_def_6,type,
arrow_159774573e_indi: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
fun: ( $tType * $tType ) > $tType ).
tff(type_def_9,type,
product_prod: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
arrow_1985332922le_Lin: fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool) ).
tff(func_def_1,type,
arrow_610318064e_Prof: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool) ).
tff(func_def_2,type,
arrow_1158827142_above: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_3,type,
arrow_319942042_below: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_4,type,
arrow_276188178_mkbot: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_5,type,
arrow_424895264_mktop: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_6,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,X1),fun(fun(X2,X0),fun(X2,X1))) ).
tff(func_def_7,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).
tff(func_def_8,type,
combi:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_9,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_10,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).
tff(func_def_11,type,
id:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_12,type,
pi:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * fun(X0,fun(X1,bool)) ) > fun(fun(X0,X1),bool) ) ).
tff(func_def_13,type,
the:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_14,type,
prod:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * fun(X1,bool) ) > fun(product_prod(X0,X1),bool) ) ).
tff(func_def_15,type,
product_Pair:
!>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).
tff(func_def_16,type,
product_apfst:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(product_prod(X0,X2),product_prod(X1,X2)) ) ).
tff(func_def_17,type,
product_apsnd:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(product_prod(X2,X0),product_prod(X2,X1)) ) ).
tff(func_def_18,type,
product_curry:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X0,X1),X2) > fun(X0,fun(X1,X2)) ) ).
tff(func_def_19,type,
produc1605651328_split:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)) ).
tff(func_def_20,type,
product_prod_case:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)) ).
tff(func_def_21,type,
product_prod_rec:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_22,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_23,type,
lex_prod:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X0),bool) * fun(product_prod(X1,X1),bool) ) > fun(product_prod(product_prod(X0,X1),product_prod(X0,X1)),bool) ) ).
tff(func_def_24,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_25,type,
fFalse: bool ).
tff(func_def_26,type,
fNot: bool > bool ).
tff(func_def_27,type,
fTrue: bool ).
tff(func_def_28,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_29,type,
fequal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_30,type,
fimplies: bool > fun(bool,bool) ).
tff(func_def_31,type,
member:
!>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).
tff(func_def_32,type,
f: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).
tff(func_def_33,type,
p: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).
tff(func_def_34,type,
p1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).
tff(func_def_35,type,
a: arrow_411405190le_alt ).
tff(func_def_36,type,
a1: arrow_411405190le_alt ).
tff(func_def_37,type,
b: arrow_411405190le_alt ).
tff(func_def_38,type,
b1: arrow_411405190le_alt ).
tff(func_def_39,type,
sK19: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).
tff(func_def_40,type,
sK20:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_41,type,
sK21:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_42,type,
sK22:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_43,type,
sK23:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_44,type,
sK24:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_45,type,
sK25:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_46,type,
sK26: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt * fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ) > arrow_159774573e_indi ).
tff(func_def_47,type,
sK27: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).
tff(func_def_48,type,
sK28: ( arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_49,type,
sK29:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).
tff(func_def_50,type,
sK30:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).
tff(func_def_51,type,
sK31:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).
tff(func_def_52,type,
sK32:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X2 ) ).
tff(func_def_53,type,
sK33:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X1 ) ).
tff(func_def_54,type,
sK34:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X0 ) ).
tff(func_def_55,type,
sK35:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).
tff(func_def_56,type,
sK36:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).
tff(func_def_57,type,
sK37:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).
tff(func_def_58,type,
sK38:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).
tff(func_def_59,type,
sK39:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X3 ) ).
tff(func_def_60,type,
sK40:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X2 ) ).
tff(func_def_61,type,
sK41:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X1 ) ).
tff(func_def_62,type,
sK42:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X0 ) ).
tff(func_def_63,type,
sK43:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X5 ) ).
tff(func_def_64,type,
sK44:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X4 ) ).
tff(func_def_65,type,
sK45:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X3 ) ).
tff(func_def_66,type,
sK46:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X2 ) ).
tff(func_def_67,type,
sK47:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X1 ) ).
tff(func_def_68,type,
sK48:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X0 ) ).
tff(func_def_69,type,
sK49:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X0 ) ).
tff(func_def_70,type,
sK50:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X1 ) ).
tff(func_def_71,type,
sK51:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X2 ) ).
tff(func_def_72,type,
sK52:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X3 ) ).
tff(func_def_73,type,
sK53:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X4 ) ).
tff(func_def_74,type,
sK54:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X5 ) ).
tff(func_def_75,type,
sK55:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X4 ) ).
tff(func_def_76,type,
sK56:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X3 ) ).
tff(func_def_77,type,
sK57:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X2 ) ).
tff(func_def_78,type,
sK58:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X1 ) ).
tff(func_def_79,type,
sK59:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X0 ) ).
tff(func_def_80,type,
sK60:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X0 ) ).
tff(func_def_81,type,
sK61:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X1 ) ).
tff(func_def_82,type,
sK62:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X2 ) ).
tff(func_def_83,type,
sK63:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X3 ) ).
tff(func_def_84,type,
sK64:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X4 ) ).
tff(func_def_85,type,
sK65: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_86,type,
sK66:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_87,type,
sK67:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_88,type,
sK68:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_89,type,
sK69:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_90,type,
sK70: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_159774573e_indi ) > arrow_411405190le_alt ).
tff(func_def_91,type,
sK71: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_159774573e_indi ) > arrow_411405190le_alt ).
tff(func_def_92,type,
sK72: ( arrow_159774573e_indi * fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ) > fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).
tff(func_def_93,type,
sK73:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,fun(X0,bool))) * X0 * product_prod(X2,X1) ) > X2 ) ).
tff(func_def_94,type,
sK74:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,fun(X0,bool))) * X0 * product_prod(X2,X1) ) > X1 ) ).
tff(func_def_95,type,
sK75:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * fun(X0,fun(X1,fun(X2,bool))) * product_prod(X0,X1) ) > X0 ) ).
tff(func_def_96,type,
sK76:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * fun(X0,fun(X1,fun(X2,bool))) * product_prod(X0,X1) ) > X1 ) ).
tff(func_def_97,type,
sK77:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X2) * fun(X0,fun(X2,fun(X1,bool))) * X1 ) > X0 ) ).
tff(func_def_98,type,
sK78:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X2) * fun(X0,fun(X2,fun(X1,bool))) * X1 ) > X2 ) ).
tff(func_def_99,type,
sK79:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * product_prod(X1,X0) * fun(X1,fun(X0,fun(X2,bool))) ) > X1 ) ).
tff(func_def_100,type,
sK80:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * product_prod(X1,X0) * fun(X1,fun(X0,fun(X2,bool))) ) > X0 ) ).
tff(func_def_101,type,
sK81:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * product_prod(X1,X0) ) > X1 ) ).
tff(func_def_102,type,
sK82:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * product_prod(X1,X0) ) > X0 ) ).
tff(func_def_103,type,
sK83:
!>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,bool)) ) > X0 ) ).
tff(func_def_104,type,
sK84:
!>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,bool)) ) > X1 ) ).
tff(func_def_105,type,
sK85:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_106,type,
sK86:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * fun(X1,X0) * fun(X1,bool) ) > X1 ) ).
tff(func_def_107,type,
sK87:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(product_prod(X2,X1),X0) * fun(X2,fun(X1,X0)) ) > X2 ) ).
tff(func_def_108,type,
sK88:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(product_prod(X2,X1),X0) * fun(X2,fun(X1,X0)) ) > X1 ) ).
tff(func_def_109,type,
sK89:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X2) * fun(X0,fun(X2,X1)) * fun(X1,bool) ) > X0 ) ).
tff(func_def_110,type,
sK90:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X2) * fun(X0,fun(X2,X1)) * fun(X1,bool) ) > X2 ) ).
tff(func_def_111,type,
sK91:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) * product_prod(X2,X1) ) > X2 ) ).
tff(func_def_112,type,
sK92:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) * product_prod(X2,X1) ) > X1 ) ).
tff(func_def_113,type,
sK93:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,bool) * fun(X0,X1) * fun(X0,bool) ) > X0 ) ).
tff(func_def_114,type,
sK94:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * fun(X1,X0) * fun(X1,bool) ) > X1 ) ).
tff(func_def_115,type,
sK95:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * fun(X1,bool) ) > X1 ) ).
tff(func_def_116,type,
sK96:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > X1 ) ).
tff(func_def_117,type,
sK97:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > X0 ) ).
tff(func_def_118,type,
sK98:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_119,type,
sK99:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).
tff(func_def_120,type,
sK100:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_121,type,
sK101:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).
tff(pred_def_1,type,
arrow_1958449194le_IIA: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) > $o ).
tff(pred_def_2,type,
arrow_987702531ctator: ( fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_159774573e_indi ) > $o ).
tff(pred_def_3,type,
arrow_2069624013nimity: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) > $o ).
tff(pred_def_4,type,
in_rel:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),bool) * X0 * X1 ) > $o ) ).
tff(pred_def_5,type,
refl:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > $o ) ).
tff(pred_def_6,type,
pp: bool > $o ).
tff(pred_def_7,type,
sP0: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_8,type,
sP1: ( arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt * fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ) > $o ).
tff(pred_def_9,type,
sP2: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_10,type,
sP3: ( arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt * fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ) > $o ).
tff(pred_def_11,type,
sP4:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X0),bool) * X0 * X0 * fun(product_prod(X1,X1),bool) * X1 * X1 ) > $o ) ).
tff(pred_def_12,type,
sP5: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt * fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ) > $o ).
tff(pred_def_13,type,
sP6: ( arrow_411405190le_alt * arrow_411405190le_alt * fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_14,type,
sP7: ( arrow_411405190le_alt * arrow_411405190le_alt * fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_15,type,
sP8: ( arrow_411405190le_alt * arrow_411405190le_alt * fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_16,type,
sP9: ( arrow_411405190le_alt * arrow_411405190le_alt * fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_17,type,
sP10: ( arrow_411405190le_alt * arrow_411405190le_alt * fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_18,type,
sP11: ( arrow_411405190le_alt * arrow_411405190le_alt * fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_19,type,
sP12: ( arrow_411405190le_alt * arrow_411405190le_alt * fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_20,type,
sP13: ( arrow_411405190le_alt * arrow_411405190le_alt * fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_21,type,
sP14: ( arrow_411405190le_alt * arrow_411405190le_alt * fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_22,type,
sP15: ( arrow_411405190le_alt * arrow_411405190le_alt * fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_23,type,
sP16: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_159774573e_indi ) > $o ).
tff(pred_def_24,type,
sP17:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * fun(X1,bool) ) > $o ) ).
tff(pred_def_25,type,
sP18:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > $o ) ).
tff(f1,axiom,
pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),p1),arrow_610318064e_Prof)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__096P_A_058_AProf_096) ).
tff(f2,axiom,
pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),p),arrow_610318064e_Prof)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__096P_H_A_058_AProf_096) ).
tff(f5,axiom,
! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ( X5 != X4 )
=> ( ( X3 != X2 )
=> ( ( X5 != X2 )
=> ( ( X4 != X3 )
=> ( pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
=> ( pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
=> ( ! [X6: arrow_159774573e_indi] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X6)))
<=> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,X6))) )
=> ( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)))
=> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4__C1_C) ).
tff(f6,axiom,
a1 != b1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5__096a_A_126_061_Ab_096) ).
tff(f7,axiom,
a1 != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6__096a_A_126_061_Ab_H_096) ).
tff(f8,axiom,
b1 != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7__096b_A_126_061_Aa_H_096) ).
tff(f9,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8__096a_H_A_126_061_Ab_H_096) ).
tff(f10,axiom,
! [X0: arrow_159774573e_indi] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0)))
<=> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_H_A_060_092_060_094bsub_062P_H_Ai_092_060_094esub_062_Ab_H_J_096) ).
tff(f62,axiom,
! [X0: $tType,X1: $tType,X2: $tType,X3: fun(product_prod(X1,X2),X0),X4: X1,X5: X2] : ( aa(X2,X0,aa(X1,fun(X2,X0),product_curry(X1,X2,X0,X3),X4),X5) = aa(product_prod(X1,X2),X0,X3,aa(X2,product_prod(X1,X2),aa(X1,fun(X2,product_prod(X1,X2)),product_Pair(X1,X2),X4),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_curry__def) ).
tff(f106,axiom,
! [X0: $tType,X1: $tType,X2: $tType,X3: X0,X4: X2,X5: fun(X0,fun(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X3),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_U) ).
tff(f118,conjecture,
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1)))
<=> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f119,negated_conjecture,
~ ( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1)))
<=> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))) ),
inference(negated_conjecture,[status(cth)],[f118]) ).
tff(f123,plain,
! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)))
| ? [X6: arrow_159774573e_indi] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X6)))
<~> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,X6))) )
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f124,plain,
! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)))
| ? [X6: arrow_159774573e_indi] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X6)))
<~> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,X6))) )
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(flattening,[],[f123]) ).
tff(f197,plain,
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1)))
<~> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))) ),
inference(ennf_transformation,[],[f119]) ).
tff(f226,plain,
! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)))
| ? [X6: arrow_159774573e_indi] :
( ( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,X6)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X6))) )
& ( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,X6)))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X6))) ) )
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(nnf_transformation,[],[f124]) ).
tff(f227,plain,
! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)))
| ( ( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5)))) )
& ( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5)))) ) )
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X6,sK19(X0,X1,X2,X3,X4,X5))],[f226]) ).
tff(f228,plain,
! [X0: arrow_159774573e_indi] :
( ( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))) )
& ( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0))) ) ),
inference(nnf_transformation,[],[f10]) ).
tff(f333,plain,
( ( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))) )
& ( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p)))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))) ) ),
inference(nnf_transformation,[],[f197]) ).
tff(f334,plain,
pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),p1),arrow_610318064e_Prof)),
inference(cnf_transformation,[],[f1]) ).
tff(f335,plain,
pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),p),arrow_610318064e_Prof)),
inference(cnf_transformation,[],[f2]) ).
tff(f338,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(cnf_transformation,[],[f227]) ).
tff(f339,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(cnf_transformation,[],[f227]) ).
tff(f340,plain,
a1 != b1,
inference(cnf_transformation,[],[f6]) ).
tff(f341,plain,
a1 != b,
inference(cnf_transformation,[],[f7]) ).
tff(f342,plain,
b1 != a,
inference(cnf_transformation,[],[f8]) ).
tff(f343,plain,
b != a,
inference(cnf_transformation,[],[f9]) ).
tff(f344,plain,
! [X0: arrow_159774573e_indi] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0))) ),
inference(cnf_transformation,[],[f228]) ).
tff(f345,plain,
! [X0: arrow_159774573e_indi] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))) ),
inference(cnf_transformation,[],[f228]) ).
tff(f464,plain,
! [X1: $tType,X0: $tType,X2: $tType,X3: fun(product_prod(X1,X2),X0),X4: X1,X5: X2] : ( aa(X2,X0,aa(X1,fun(X2,X0),product_curry(X1,X2,X0,X3),X4),X5) = aa(product_prod(X1,X2),X0,X3,aa(X2,product_prod(X1,X2),aa(X1,fun(X2,product_prod(X1,X2)),product_Pair(X1,X2),X4),X5)) ),
inference(cnf_transformation,[],[f62]) ).
tff(f539,plain,
! [X1: $tType,X0: $tType,X2: $tType,X3: X0,X4: X2,X5: fun(X0,fun(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X3),X4) ),
inference(cnf_transformation,[],[f106]) ).
tff(f551,plain,
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p)))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))) ),
inference(cnf_transformation,[],[f333]) ).
tff(f552,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))) ),
inference(cnf_transformation,[],[f333]) ).
tff(f583,definition,
( spl102_1
<=> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))) ),
introduced(definition,[new_symbols(definition,[spl102_1])],[avatar_definition]) ).
tff(f584,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1)))
| spl102_1 ),
inference(avatar_component_clause,[],[f583]) ).
tff(f585,plain,
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1)))
| ~ spl102_1 ),
inference(avatar_component_clause,[],[f583]) ).
tff(f587,definition,
( spl102_2
<=> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))) ),
introduced(definition,[new_symbols(definition,[spl102_2])],[avatar_definition]) ).
tff(f588,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p)))
| spl102_2 ),
inference(avatar_component_clause,[],[f587]) ).
tff(f589,plain,
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p)))
| ~ spl102_2 ),
inference(avatar_component_clause,[],[f587]) ).
tff(f590,plain,
( spl102_1
| spl102_2 ),
inference(avatar_split_clause,[],[f551,f587,f583]) ).
tff(f591,plain,
( ~ spl102_1
| ~ spl102_2 ),
inference(avatar_split_clause,[],[f552,f587,f583]) ).
tff(f693,plain,
! [X0: arrow_159774573e_indi] :
( pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0))) ),
inference(forward_demodulation,[],[f344,f539]) ).
tff(f694,plain,
! [X0: arrow_159774573e_indi] :
( pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))) ),
inference(forward_demodulation,[],[f345,f539]) ).
tff(f695,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f338,f539]) ).
tff(f696,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f339,f539]) ).
tff(f697,plain,
pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),p)),
inference(forward_demodulation,[],[f335,f539]) ).
tff(f698,plain,
pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),p1)),
inference(forward_demodulation,[],[f334,f539]) ).
tff(f772,plain,
! [X0: arrow_159774573e_indi] :
( pp(aa(arrow_411405190le_alt,bool,aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,bool),product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))),a),b))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0))) ),
inference(forward_demodulation,[],[f693,f464]) ).
tff(f773,plain,
! [X0: arrow_159774573e_indi] :
( pp(aa(arrow_411405190le_alt,bool,aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,bool),product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0))),a1),b1))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))) ),
inference(forward_demodulation,[],[f694,f464]) ).
tff(f774,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(arrow_411405190le_alt,bool,aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,bool),product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X3),X2))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f695,f464]) ).
tff(f775,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(arrow_411405190le_alt,bool,aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,bool),product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X3),X2))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f696,f464]) ).
tff(f830,plain,
! [X0: arrow_159774573e_indi] :
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))),b),a))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0))) ),
inference(forward_demodulation,[],[f772,f539]) ).
tff(f831,plain,
! [X0: arrow_159774573e_indi] :
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0))),b1),a1))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))) ),
inference(forward_demodulation,[],[f773,f539]) ).
tff(f832,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f774,f539]) ).
tff(f833,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f775,f539]) ).
tff(f851,plain,
! [X0: arrow_159774573e_indi] :
( ~ pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))),b),a)) ),
inference(forward_demodulation,[],[f830,f539]) ).
tff(f852,plain,
! [X0: arrow_159774573e_indi] :
( ~ pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0))),b1),a1)) ),
inference(forward_demodulation,[],[f831,f539]) ).
tff(f853,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f832,f539]) ).
tff(f854,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f833,f539]) ).
tff(f865,plain,
! [X0: arrow_159774573e_indi] :
( ~ pp(aa(arrow_411405190le_alt,bool,aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,bool),product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0))),a1),b1))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))),b),a)) ),
inference(forward_demodulation,[],[f851,f464]) ).
tff(f866,plain,
! [X0: arrow_159774573e_indi] :
( ~ pp(aa(arrow_411405190le_alt,bool,aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,bool),product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))),a),b))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0))),b1),a1)) ),
inference(forward_demodulation,[],[f852,f464]) ).
tff(f867,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ pp(aa(arrow_411405190le_alt,bool,aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,bool),product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X5),X4))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f853,f464]) ).
tff(f868,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ pp(aa(arrow_411405190le_alt,bool,aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,bool),product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X5),X4))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f854,f464]) ).
tff(f878,plain,
! [X0: arrow_159774573e_indi] :
( ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0))),b1),a1))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))),b),a)) ),
inference(forward_demodulation,[],[f865,f539]) ).
tff(f879,plain,
! [X0: arrow_159774573e_indi] :
( ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))),b),a))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0))),b1),a1)) ),
inference(forward_demodulation,[],[f866,f539]) ).
tff(f880,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f867,f539]) ).
tff(f881,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f868,f539]) ).
tff(f888,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f880,f539]) ).
tff(f889,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5))),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f881,f539]) ).
tff(f892,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(arrow_411405190le_alt,bool,aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,bool),product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5)))),X3),X2))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f888,f464]) ).
tff(f893,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ pp(aa(arrow_411405190le_alt,bool,aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,bool),product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5)))),X3),X2))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f889,f464]) ).
tff(f894,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5)))),X2),X3))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f892,f539]) ).
tff(f895,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5)))),X2),X3))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f893,f539]) ).
tff(f896,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5)))),X2),X3))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f894,f539]) ).
tff(f897,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5))),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5)))),X2),X3))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f895,f539]) ).
tff(f898,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(arrow_411405190le_alt,bool,aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,bool),product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5)))),X5),X4))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5)))),X2),X3))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f896,f464]) ).
tff(f899,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ pp(aa(arrow_411405190le_alt,bool,aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,bool),product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5)))),X5),X4))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5)))),X2),X3))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f897,f464]) ).
tff(f900,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5)))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5)))),X2),X3))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f898,f539]) ).
tff(f901,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5)))),X4),X5))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5)))),X2),X3))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f899,f539]) ).
tff(f902,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),X0))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5)))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5)))),X2),X3))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f900,f539]) ).
tff(f903,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),X0))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5)))),X4),X5))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5)))),X2),X3))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f901,f539]) ).
tff(f904,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),X0))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5)))),X4),X5))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5)))),X2),X3))
| ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),X1))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f902,f539]) ).
tff(f905,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))),X4),X5))
| ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),X0))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK19(X0,X1,X2,X3,X4,X5)))),X4),X5))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,X1,X2,X3,X4,X5)))),X2),X3))
| ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),X1))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X2),X3))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(forward_demodulation,[],[f903,f539]) ).
tff(f906,plain,
( ~ pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)))
| spl102_1 ),
inference(forward_demodulation,[],[f584,f539]) ).
tff(f907,plain,
( pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)))
| ~ spl102_2 ),
inference(forward_demodulation,[],[f589,f539]) ).
tff(f908,plain,
( ~ pp(aa(arrow_411405190le_alt,bool,aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,bool),product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))),a1),b1))
| spl102_1 ),
inference(forward_demodulation,[],[f906,f464]) ).
tff(f909,plain,
( pp(aa(arrow_411405190le_alt,bool,aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,bool),product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))),a),b))
| ~ spl102_2 ),
inference(forward_demodulation,[],[f907,f464]) ).
tff(f910,plain,
( ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))),b1),a1))
| spl102_1 ),
inference(forward_demodulation,[],[f908,f539]) ).
tff(f911,plain,
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))),b),a))
| ~ spl102_2 ),
inference(forward_demodulation,[],[f909,f539]) ).
tff(f1148,plain,
( ! [X2: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: arrow_411405190le_alt] :
( ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),X0))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(X0,p,X1,X2,b,a)))),b),a))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,p,X1,X2,b,a)))),X1),X2))
| ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),p))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X1),X2))
| ( b = X2 )
| ( a = X1 )
| ( X1 = X2 )
| ( b = a ) )
| ~ spl102_2 ),
inference(resolution,[],[f904,f911]) ).
tff(f1149,plain,
( ! [X2: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: arrow_411405190le_alt] :
( ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),X0))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(X0,p,X1,X2,b,a)))),b),a))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,p,X1,X2,b,a)))),X1),X2))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X1),X2))
| ( b = X2 )
| ( a = X1 )
| ( X1 = X2 ) )
| ~ spl102_2 ),
inference(global_subsumption,[],[f1148,f697,f343]) ).
tff(f1164,plain,
( ! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(p1,p,X0,X1,b,a)))),b),a))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK19(p1,p,X0,X1,b,a)))),X0),X1))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))),X0),X1))
| ( b = X1 )
| ( a = X0 )
| ( X0 = X1 ) )
| ~ spl102_2 ),
inference(resolution,[],[f1149,f698]) ).
tff(f1190,plain,
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(p1,p,b1,a1,b,a)))),b),a))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))),b1),a1))
| ( a1 = b )
| ( b1 = a )
| ( a1 = b1 )
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(p1,p,b1,a1,b,a)))),b),a))
| ~ spl102_2 ),
inference(resolution,[],[f1164,f878]) ).
tff(f1194,plain,
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(p1,p,b1,a1,b,a)))),b),a))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))),b1),a1))
| ( a1 = b )
| ( b1 = a )
| ( a1 = b1 )
| ~ spl102_2 ),
inference(duplicate_literal_removal,[],[f1190]) ).
tff(f1198,plain,
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(p1,p,b1,a1,b,a)))),b),a))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))),b1),a1))
| ~ spl102_2 ),
inference(global_subsumption,[],[f1194,f340,f341,f342]) ).
tff(f1202,definition,
( spl102_5
<=> pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))),b1),a1)) ),
introduced(definition,[new_symbols(definition,[spl102_5])],[avatar_definition]) ).
tff(f1204,plain,
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))),b1),a1))
| ~ spl102_5 ),
inference(avatar_component_clause,[],[f1202]) ).
tff(f1206,definition,
( spl102_6
<=> pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(p1,p,b1,a1,b,a)))),b),a)) ),
introduced(definition,[new_symbols(definition,[spl102_6])],[avatar_definition]) ).
tff(f1208,plain,
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(p1,p,b1,a1,b,a)))),b),a))
| ~ spl102_6 ),
inference(avatar_component_clause,[],[f1206]) ).
tff(f1209,plain,
( spl102_5
| spl102_6
| ~ spl102_2 ),
inference(avatar_split_clause,[],[f1198,f587,f1206,f1202]) ).
tff(f1216,plain,
( pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)))
| ~ spl102_1 ),
inference(forward_demodulation,[],[f585,f539]) ).
tff(f1217,plain,
( ~ pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)))
| spl102_2 ),
inference(forward_demodulation,[],[f588,f539]) ).
tff(f1218,plain,
( pp(aa(arrow_411405190le_alt,bool,aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,bool),product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))),a1),b1))
| ~ spl102_1 ),
inference(forward_demodulation,[],[f1216,f464]) ).
tff(f1219,plain,
( ~ pp(aa(arrow_411405190le_alt,bool,aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,bool),product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))),a),b))
| spl102_2 ),
inference(forward_demodulation,[],[f1217,f464]) ).
tff(f1220,plain,
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))),b1),a1))
| ~ spl102_1 ),
inference(forward_demodulation,[],[f1218,f539]) ).
tff(f1221,plain,
( ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))),b),a))
| spl102_2 ),
inference(forward_demodulation,[],[f1219,f539]) ).
tff(f1222,plain,
( spl102_5
| ~ spl102_1 ),
inference(avatar_split_clause,[],[f1220,f583,f1202]) ).
tff(f1224,plain,
( ~ spl102_5
| spl102_1 ),
inference(avatar_split_clause,[],[f910,f583,f1202]) ).
tff(f1230,plain,
( ! [X2: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: arrow_411405190le_alt] :
( ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),X0))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(X0,p,X1,X2,b,a)))),b),a))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,p,X1,X2,b,a)))),X1),X2))
| ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),p))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X1),X2))
| ( b = X2 )
| ( a = X1 )
| ( X1 = X2 )
| ( b = a ) )
| ~ spl102_2 ),
inference(resolution,[],[f911,f905]) ).
tff(f1234,plain,
( ! [X2: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: arrow_411405190le_alt] :
( ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(X0,p,X1,X2,b,a)))),b),a))
| ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),X0))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,p,X1,X2,b,a)))),X1),X2))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X1),X2))
| ( b = X2 )
| ( a = X1 )
| ( X1 = X2 ) )
| ~ spl102_2 ),
inference(global_subsumption,[],[f1230,f697,f343]) ).
tff(f1240,plain,
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK19(p1,p,b1,a1,b,a)))),b1),a1))
| ~ spl102_6 ),
inference(resolution,[],[f1208,f879]) ).
tff(f1251,plain,
( ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),p1))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK19(p1,p,b1,a1,b,a)))),b1),a1))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))),b1),a1))
| ( a1 = b )
| ( b1 = a )
| ( a1 = b1 )
| ~ spl102_2
| ~ spl102_6 ),
inference(resolution,[],[f1234,f1208]) ).
tff(f1252,plain,
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))),b1),a1))
| ~ spl102_2
| ~ spl102_6 ),
inference(global_subsumption,[],[f1251,f1240,f698,f340,f341,f342]) ).
tff(f1253,plain,
( spl102_5
| ~ spl102_2
| ~ spl102_6 ),
inference(avatar_split_clause,[],[f1252,f1206,f587,f1202]) ).
tff(f1268,plain,
( ! [X2: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: arrow_411405190le_alt] :
( ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),X0))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK19(X0,p1,X1,X2,b1,a1)))),b1),a1))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,p1,X1,X2,b1,a1)))),X1),X2))
| ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),p1))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X1),X2))
| ( b1 = X2 )
| ( a1 = X1 )
| ( X1 = X2 )
| ( a1 = b1 ) )
| ~ spl102_5 ),
inference(resolution,[],[f1204,f905]) ).
tff(f1269,plain,
( ! [X2: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: arrow_411405190le_alt] :
( ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),X0))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK19(X0,p1,X1,X2,b1,a1)))),b1),a1))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,p1,X1,X2,b1,a1)))),X1),X2))
| ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),p1))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X1),X2))
| ( b1 = X2 )
| ( a1 = X1 )
| ( X1 = X2 )
| ( a1 = b1 ) )
| ~ spl102_5 ),
inference(resolution,[],[f1204,f904]) ).
tff(f1280,plain,
( ! [X2: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: arrow_411405190le_alt] :
( ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),X0))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK19(X0,p1,X1,X2,b1,a1)))),b1),a1))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,p1,X1,X2,b1,a1)))),X1),X2))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X1),X2))
| ( b1 = X2 )
| ( a1 = X1 )
| ( X1 = X2 ) )
| ~ spl102_5 ),
inference(global_subsumption,[],[f1269,f698,f340]) ).
tff(f1281,plain,
( ! [X2: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: arrow_411405190le_alt] :
( ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK19(X0,p1,X1,X2,b1,a1)))),b1),a1))
| ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),X0))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK19(X0,p1,X1,X2,b1,a1)))),X1),X2))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))),X1),X2))
| ( b1 = X2 )
| ( a1 = X1 )
| ( X1 = X2 ) )
| ~ spl102_5 ),
inference(global_subsumption,[],[f1268,f698,f340]) ).
tff(f1918,plain,
( ! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK19(p,p1,X0,X1,b1,a1)))),b1),a1))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(p,p1,X0,X1,b1,a1)))),X0),X1))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))),X0),X1))
| ( b1 = X1 )
| ( a1 = X0 )
| ( X0 = X1 ) )
| ~ spl102_5 ),
inference(resolution,[],[f1280,f697]) ).
tff(f1944,plain,
( ! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(p,p1,X0,X1,b1,a1)))),X0),X1))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(p,p1,X0,X1,b1,a1)))),b),a))
| ( b1 = X1 )
| ( a1 = X0 )
| ( X0 = X1 )
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))),X0),X1)) )
| ~ spl102_5 ),
inference(resolution,[],[f1918,f878]) ).
tff(f2009,plain,
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(p,p1,b,a,b1,a1)))),b),a))
| ( b1 = a )
| ( a1 = b )
| ( b = a )
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))),b),a))
| ~ spl102_5 ),
inference(factoring,[],[f1944]) ).
tff(f2012,plain,
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(p,p1,b,a,b1,a1)))),b),a))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))),b),a))
| ~ spl102_5 ),
inference(global_subsumption,[],[f2009,f341,f342,f343]) ).
tff(f2017,definition,
( spl102_13
<=> pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))),b),a)) ),
introduced(definition,[new_symbols(definition,[spl102_13])],[avatar_definition]) ).
tff(f2019,plain,
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))),b),a))
| ~ spl102_13 ),
inference(avatar_component_clause,[],[f2017]) ).
tff(f2021,definition,
( spl102_14
<=> pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(p,p1,b,a,b1,a1)))),b),a)) ),
introduced(definition,[new_symbols(definition,[spl102_14])],[avatar_definition]) ).
tff(f2023,plain,
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(p,p1,b,a,b1,a1)))),b),a))
| ~ spl102_14 ),
inference(avatar_component_clause,[],[f2021]) ).
tff(f2024,plain,
( spl102_13
| spl102_14
| ~ spl102_5 ),
inference(avatar_split_clause,[],[f2012,f1202,f2021,f2017]) ).
tff(f2191,plain,
( $false
| spl102_2
| ~ spl102_13 ),
inference(resolution,[],[f2019,f1221]) ).
tff(f2195,plain,
( spl102_2
| ~ spl102_13 ),
inference(avatar_contradiction_clause,[],[f2191]) ).
tff(f2216,plain,
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK19(p,p1,b,a,b1,a1)))),b1),a1))
| ~ spl102_14 ),
inference(resolution,[],[f2023,f879]) ).
tff(f2443,plain,
( ~ pp(aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool,combc(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_610318064e_Prof),p))
| ~ pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK19(p,p1,b,a,b1,a1)))),b),a))
| pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))),b),a))
| ( b1 = a )
| ( a1 = b )
| ( b = a )
| ~ spl102_5
| ~ spl102_14 ),
inference(resolution,[],[f1281,f2216]) ).
tff(f2451,plain,
( pp(aa(arrow_411405190le_alt,bool,combc(arrow_411405190le_alt,arrow_411405190le_alt,bool,product_curry(arrow_411405190le_alt,arrow_411405190le_alt,bool,combc(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))),b),a))
| ~ spl102_5
| ~ spl102_14 ),
inference(global_subsumption,[],[f2443,f2023,f697,f341,f342,f343]) ).
tff(f2452,plain,
( spl102_13
| ~ spl102_5
| ~ spl102_14 ),
inference(avatar_split_clause,[],[f2451,f2021,f1202,f2017]) ).
cnf(s2,plain,
( spl102_1
| spl102_2 ),
inference(sat_conversion,[],[f590]) ).
cnf(s4,plain,
( ~ spl102_1
| ~ spl102_2 ),
inference(sat_conversion,[],[f591]) ).
cnf(s375,plain,
( ~ spl102_2
| spl102_5
| spl102_6 ),
inference(sat_conversion,[],[f1209]) ).
cnf(s379,plain,
( ~ spl102_1
| spl102_5 ),
inference(sat_conversion,[],[f1222]) ).
cnf(s382,plain,
( spl102_1
| ~ spl102_5 ),
inference(sat_conversion,[],[f1224]) ).
cnf(s403,plain,
( ~ spl102_2
| spl102_5
| ~ spl102_6 ),
inference(sat_conversion,[],[f1253]) ).
cnf(s662,plain,
( ~ spl102_5
| spl102_13
| spl102_14 ),
inference(sat_conversion,[],[f2024]) ).
cnf(s741,plain,
( spl102_2
| ~ spl102_13 ),
inference(sat_conversion,[],[f2195]) ).
cnf(s850,plain,
( ~ spl102_5
| spl102_13
| ~ spl102_14 ),
inference(sat_conversion,[],[f2452]) ).
cnf(s852,plain,
( ~ spl102_2
| spl102_5 ),
inference(rat,[],[s375,s403]) ).
cnf(s853,plain,
spl102_1,
inference(rat,[],[s852,s2,s382]) ).
cnf(s854,plain,
spl102_5,
inference(rat,[],[s379,s853]) ).
cnf(s855,plain,
~ spl102_2,
inference(rat,[],[s4,s853]) ).
cnf(s856,plain,
~ spl102_13,
inference(rat,[],[s741,s855]) ).
cnf(s857,plain,
~ spl102_14,
inference(rat,[],[s850,s854,s856]) ).
cnf(s858,plain,
$false,
inference(rat,[],[s662,s854,s857,s856]) ).
tff(f2453,plain,
$false,
inference(avatar_sat_refutation,[],[s858]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT213_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n026.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 00:02:42 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.16/2.05 % (3345886)Will run a generic schedule for satisfiability detection.
% 11.16/2.05 % (3345901)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=104706708:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 11.16/2.05 % (3345900)% WARNING: option uhcvi not known.
% 11.16/2.05 % (3345899)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3227321396_2999 on theBenchmark for (2999ds/0Mi)
% 11.16/2.05 % (3345900)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3277339202:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 11.16/2.05 % (3345903)dis+10_1_sil=32000:sp=arity:random_seed=3756498563:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 11.16/2.05 % (3345904)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1663938896:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 11.16/2.05 % (3345905)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3431318914:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 11.16/2.05 % (3345906)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=862793806:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 11.16/2.05 % Exception at run slice level
% 11.16/2.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.16/2.05 % (3345928)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2519019277:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 11.16/2.05 % Exception at run slice level
% 11.16/2.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.16/2.05 % (3345903)Instruction limit reached!
% 11.16/2.05 % (3345903)------------------------------
% 11.16/2.05 % (3345903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.16/2.05 % (3345903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.05 % (3345903)CaDiCaL version: 2.1.3
% 11.16/2.05 % (3345903)Termination reason: Instruction limit
% 11.16/2.05 % (3345903)Termination phase: Saturation
% 11.16/2.05 % (3345903)Time elapsed: 0.059 s
% 11.16/2.05 % (3345903)Peak memory usage: 12 MB
% 11.16/2.05 % (3345903)Instructions burned: 105 (million)
% 11.16/2.05 % (3345904)Instruction limit reached!
% 11.16/2.05 % (3345904)------------------------------
% 11.16/2.05 % (3345904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.16/2.05 % (3345904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.05 % (3345904)CaDiCaL version: 2.1.3
% 11.16/2.05 % (3345904)Termination reason: Instruction limit
% 11.16/2.05 % (3345904)Termination phase: Saturation
% 11.16/2.05 % (3345904)Time elapsed: 0.063 s
% 11.16/2.05 % (3345904)Peak memory usage: 12 MB
% 11.16/2.05 % (3345904)Instructions burned: 116 (million)
% 11.16/2.05 % (3345937)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1523395939:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 11.16/2.05 % (3345905)Instruction limit reached!
% 11.16/2.05 % (3345905)------------------------------
% 11.16/2.05 % (3345905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.16/2.05 % (3345905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.05 % (3345905)CaDiCaL version: 2.1.3
% 11.16/2.05 % (3345905)Termination reason: Instruction limit
% 11.16/2.05 % (3345905)Termination phase: Saturation
% 11.16/2.05 % (3345905)Time elapsed: 0.075 s
% 11.16/2.05 % (3345905)Peak memory usage: 13 MB
% 11.16/2.05 % (3345905)Instructions burned: 131 (million)
% 11.16/2.05 % (3345939)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1507960725:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 11.16/2.05 % (3345941)ott-21_1_sil=16000:fs=off:random_seed=723203640:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 11.16/2.05 % (3345906)Instruction limit reached!
% 11.16/2.05 % (3345906)------------------------------
% 11.16/2.05 % (3345906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.16/2.05 % (3345906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.05 % (3345906)CaDiCaL version: 2.1.3
% 11.16/2.05 % (3345906)Termination reason: Instruction limit
% 11.16/2.05 % (3345906)Termination phase: Saturation
% 11.16/2.05 % (3345906)Time elapsed: 0.091 s
% 11.16/2.05 % (3345906)Peak memory usage: 14 MB
% 11.16/2.05 % (3345906)Instructions burned: 159 (million)
% 11.16/2.05 % (3345946)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3845269085:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 12.80/2.38 % (3345954)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3637033631:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 12.80/2.38 % Exception at run slice level
% 12.80/2.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.80/2.38 % (3345963)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1695144207:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 12.80/2.38 % (3345937)Instruction limit reached!
% 12.80/2.38 % (3345937)------------------------------
% 12.80/2.38 % (3345937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.38 % (3345937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.38 % (3345937)CaDiCaL version: 2.1.3
% 12.80/2.38 % (3345937)Termination reason: Instruction limit
% 12.80/2.38 % (3345937)Termination phase: Saturation
% 12.80/2.38 % (3345937)Time elapsed: 0.089 s
% 12.80/2.38 % (3345937)Peak memory usage: 13 MB
% 12.80/2.38 % (3345937)Instructions burned: 132 (million)
% 12.80/2.38 % (3345969)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2079209730:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 12.80/2.38 % (3345941)Instruction limit reached!
% 12.80/2.38 % (3345941)------------------------------
% 12.80/2.38 % (3345941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.38 % (3345941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.38 % (3345941)CaDiCaL version: 2.1.3
% 12.80/2.38 % (3345941)Termination reason: Instruction limit
% 12.80/2.38 % (3345941)Termination phase: Saturation
% 12.80/2.38 % (3345941)Time elapsed: 0.099 s
% 12.80/2.38 % (3345941)Peak memory usage: 13 MB
% 12.80/2.38 % (3345941)Instructions burned: 181 (million)
% 12.80/2.38 % Exception at run slice level
% 12.80/2.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.80/2.38 % (3345975)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4054729063:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 12.80/2.38 % (3345976)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2685334207:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 12.80/2.38 % (3345946)Instruction limit reached!
% 12.80/2.38 % (3345946)------------------------------
% 12.80/2.38 % (3345946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.38 % (3345946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.38 % (3345946)CaDiCaL version: 2.1.3
% 12.80/2.38 % (3345946)Termination reason: Instruction limit
% 12.80/2.38 % (3345946)Termination phase: Saturation
% 12.80/2.38 % (3345946)Time elapsed: 0.293 s
% 12.80/2.38 % (3345946)Peak memory usage: 14 MB
% 12.80/2.38 % (3345946)Instructions burned: 477 (million)
% 12.80/2.38 % (3345990)fmb+10_1_sil=64000:random_seed=566387563:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 12.80/2.38 % (3345990)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.80/2.38 % Exception at run slice level
% 12.80/2.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.80/2.38 % (3345992)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3274602065:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 12.80/2.38 % (3345939)Instruction limit reached!
% 12.80/2.38 % (3345939)------------------------------
% 12.80/2.38 % (3345939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.38 % (3345939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.38 % (3345939)CaDiCaL version: 2.1.3
% 12.80/2.38 % (3345939)Termination reason: Instruction limit
% 12.80/2.38 % (3345939)Termination phase: Saturation
% 12.80/2.38 % (3345939)Time elapsed: 0.366 s
% 12.80/2.38 % (3345939)Peak memory usage: 16 MB
% 12.80/2.38 % (3345939)Instructions burned: 685 (million)
% 12.80/2.38 % Exception at run slice level
% 12.80/2.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.80/2.38 % (3345994)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3726416108:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 12.80/2.38 % (3345995)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2903563880:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 12.80/2.38 % Exception at run slice level
% 12.80/2.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.80/2.38 % (3346002)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=163555987:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 12.80/2.38 % (3346002)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.80/2.38 % (3345975)Instruction limit reached!
% 12.80/2.38 % (3345975)------------------------------
% 12.80/2.38 % (3345975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.38 % (3345975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.38 % (3345975)CaDiCaL version: 2.1.3
% 12.80/2.38 % (3345975)Termination reason: Instruction limit
% 12.80/2.38 % (3345975)Termination phase: Saturation
% 12.80/2.38 % (3345975)Time elapsed: 0.433 s
% 12.80/2.38 % (3345975)Peak memory usage: 19 MB
% 12.80/2.38 % (3345975)Instructions burned: 692 (million)
% 12.80/2.38 % (3346013)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2588902581:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 12.80/2.38 % Exception at run slice level
% 12.80/2.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.80/2.38 % (3346015)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2817372544:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 12.80/2.38 % Exception at run slice level
% 12.80/2.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.80/2.38 % (3346017)ott-2_1_sil=16000:newcnf=on:random_seed=3952170649:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 12.80/2.38 % (3345976)Instruction limit reached!
% 12.80/2.38 % (3345976)------------------------------
% 12.80/2.38 % (3345976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.38 % (3345976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.38 % (3345976)CaDiCaL version: 2.1.3
% 12.80/2.38 % (3345976)Termination reason: Instruction limit
% 12.80/2.38 % (3345976)Termination phase: Saturation
% 12.80/2.38 % (3345976)Time elapsed: 0.522 s
% 12.80/2.38 % (3345976)Peak memory usage: 19 MB
% 12.80/2.38 % (3345976)Instructions burned: 881 (million)
% 12.80/2.38 % (3346019)ott+10_1_sil=32000:tgt=ground:random_seed=3178876063:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 12.80/2.38 % (3345963)Instruction limit reached!
% 12.80/2.38 % (3345963)------------------------------
% 12.80/2.38 % (3345963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.38 % (3345963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.38 % (3345963)CaDiCaL version: 2.1.3
% 12.80/2.38 % (3345963)Termination reason: Instruction limit
% 12.80/2.38 % (3345963)Termination phase: Saturation
% 12.80/2.38 % (3345963)Time elapsed: 0.759 s
% 12.80/2.38 % (3345963)Peak memory usage: 21 MB
% 12.80/2.38 % (3345963)Instructions burned: 1180 (million)
% 12.80/2.38 % (3346021)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1657600751:i=54282_2990 on theBenchmark for (2990ds/54282Mi)
% 12.80/2.38 % Exception at run slice level
% 12.80/2.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.80/2.38 % (3346023)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=438032228:i=3512:aac=none_2990 on theBenchmark for (2990ds/3512Mi)
% 12.80/2.38 % (3346017)Instruction limit reached!
% 12.80/2.38 % (3346017)------------------------------
% 12.80/2.38 % (3346017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.38 % (3346017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.38 % (3346017)CaDiCaL version: 2.1.3
% 12.80/2.38 % (3346017)Termination reason: Instruction limit
% 12.80/2.38 % (3346017)Termination phase: Saturation
% 12.80/2.38 % (3346017)Time elapsed: 0.585 s
% 12.80/2.38 % (3346017)Peak memory usage: 17 MB
% 12.80/2.38 % (3346017)Instructions burned: 870 (million)
% 12.80/2.38 % (3346040)dis+21_1_sil=32000:sas=cadical:random_seed=2212258936:i=3773:amm=off_2986 on theBenchmark for (2986ds/3773Mi)
% 12.80/2.38 % (3346002)Instruction limit reached!
% 12.80/2.38 % (3346002)------------------------------
% 12.80/2.38 % (3346002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.38 % (3346002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.38 % (3346002)CaDiCaL version: 2.1.3
% 12.80/2.38 % (3346002)Termination reason: Instruction limit
% 12.80/2.38 % (3346002)Termination phase: Saturation
% 12.80/2.38 % (3346002)Time elapsed: 1.063 s
% 12.80/2.38 % (3346002)Peak memory usage: 32 MB
% 12.80/2.38 % (3346002)Instructions burned: 1474 (million)
% 12.80/2.38 % (3346042)ott+11_1_sil=16000:gs=on:random_seed=2436698615:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2983 on theBenchmark for (2983ds/2251Mi)
% 12.80/2.38 % (3346042) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3345886-3346042"...
% 12.80/2.38 % (3346042)...printing done.
% 12.80/2.38 % (3346042)Refutation found. Thanks to Tanya!
% 12.80/2.38 % SZS status Theorem for theBenchmark
% 12.80/2.38 % SZS output start Proof for theBenchmark
% See solution above
% 12.80/2.39 % (3346042)------------------------------
% 12.80/2.39 % (3346042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.39 % (3346042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.39 % (3346042)CaDiCaL version: 2.1.3
% 12.80/2.39 % (3346042)Termination reason: Refutation
% 12.80/2.39 % (3346042)Time elapsed: 0.295 s
% 12.80/2.39 % (3346042)Peak memory usage: 16 MB
% 12.80/2.39 % (3346042)Instructions burned: 521 (million)
% 12.80/2.39 % (3345886)Success in time 1.94 s
% 12.80/2.39 % Vampire exiting
%------------------------------------------------------------------------------