%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT233_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:37:49 PM UTC 2026
% Result : Theorem 6.84s 1.66s
% Output : Refutation 6.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 13
% Syntax : Number of formulae : 174 ( 20 unt; 0 typ; 2 def)
% Number of atoms : 1028 ( 368 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 1257 ( 403 ~; 823 |; 1 &)
% ( 10 <=>; 15 =>; 0 <=; 5 <~>)
% Maximal formula depth : 17 ( 9 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 : 10 ( 8 usr; 3 prp; 0-5 aty)
% Number of functors : 122 ( 122 usr; 13 con; 0-7 aty)
% Number of variables : 477 ( 0 sgn 473 !; 4 ?; 477 :)
% 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,
pi:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * fun(X0,fun(X1,bool)) ) > fun(fun(X0,X1),bool) ) ).
tff(func_def_11,type,
the:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_12,type,
prod:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * fun(X1,bool) ) > fun(product_prod(X0,X1),bool) ) ).
tff(func_def_13,type,
product_Pair:
!>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).
tff(func_def_14,type,
product_apfst:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * product_prod(X0,X2) ) > product_prod(X1,X2) ) ).
tff(func_def_15,type,
product_apsnd:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * product_prod(X2,X0) ) > product_prod(X2,X1) ) ).
tff(func_def_16,type,
product_curry:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X0,X1),X2) > fun(X0,fun(X1,X2)) ) ).
tff(func_def_17,type,
produc1605651328_split:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)) ).
tff(func_def_18,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_19,type,
product_prod_rec:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_20,type,
product_scomp:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : fun(fun(X0,product_prod(X1,X2)),fun(fun(X1,fun(X2,X3)),fun(X0,X3))) ).
tff(func_def_21,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_22,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_23,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_24,type,
fFalse: bool ).
tff(func_def_25,type,
fTrue: bool ).
tff(func_def_26,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_27,type,
fequal:
!>[X0: $tType] : ( X0 > fun(X0,bool) ) ).
tff(func_def_28,type,
member:
!>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).
tff(func_def_29,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_30,type,
p: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).
tff(func_def_31,type,
p1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).
tff(func_def_32,type,
a: arrow_411405190le_alt ).
tff(func_def_33,type,
a1: arrow_411405190le_alt ).
tff(func_def_34,type,
b: arrow_411405190le_alt ).
tff(func_def_35,type,
b1: arrow_411405190le_alt ).
tff(func_def_36,type,
sK0: ( 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_37,type,
sK1: ( 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_38,type,
sK2: ( 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_159774573e_indi ).
tff(func_def_39,type,
sK3: ( 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_159774573e_indi ).
tff(func_def_40,type,
sK4:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_41,type,
sK5:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_42,type,
sK6:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_43,type,
sK7:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_44,type,
sK8:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_45,type,
sK9:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_46,type,
sK10: ( 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_159774573e_indi ).
tff(func_def_47,type,
sK11: ( 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,
sK12: ( arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_49,type,
sK13:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).
tff(func_def_50,type,
sK14:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).
tff(func_def_51,type,
sK15:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).
tff(func_def_52,type,
sK16:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X2 ) ).
tff(func_def_53,type,
sK17:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X1 ) ).
tff(func_def_54,type,
sK18:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X0 ) ).
tff(func_def_55,type,
sK19:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).
tff(func_def_56,type,
sK20:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).
tff(func_def_57,type,
sK21:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).
tff(func_def_58,type,
sK22:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).
tff(func_def_59,type,
sK23:
!>[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,
sK24:
!>[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,
sK25:
!>[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,
sK26:
!>[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,
sK27:
!>[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,
sK28:
!>[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,
sK29:
!>[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,
sK30:
!>[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,
sK31:
!>[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,
sK32:
!>[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,
sK33:
!>[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,
sK34:
!>[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,
sK35:
!>[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,
sK36:
!>[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,
sK37:
!>[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,
sK38:
!>[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,
sK39:
!>[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,
sK40:
!>[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,
sK41:
!>[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,
sK42:
!>[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,
sK43:
!>[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,
sK44:
!>[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,
sK45:
!>[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,
sK46:
!>[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,
sK47:
!>[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,
sK48:
!>[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,
sK49: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_86,type,
sK50:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_87,type,
sK51:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_88,type,
sK52:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_89,type,
sK53:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_90,type,
sK54:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,fun(X0,bool))) * X0 * product_prod(X2,X1) ) > X2 ) ).
tff(func_def_91,type,
sK55:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,fun(X0,bool))) * X0 * product_prod(X2,X1) ) > X1 ) ).
tff(func_def_92,type,
sK56:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * fun(X0,fun(X1,fun(X2,bool))) * product_prod(X0,X1) ) > X0 ) ).
tff(func_def_93,type,
sK57:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * fun(X0,fun(X1,fun(X2,bool))) * product_prod(X0,X1) ) > X1 ) ).
tff(func_def_94,type,
sK58:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X2) * fun(X0,fun(X2,fun(X1,bool))) * X1 ) > X0 ) ).
tff(func_def_95,type,
sK59:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X2) * fun(X0,fun(X2,fun(X1,bool))) * X1 ) > X2 ) ).
tff(func_def_96,type,
sK60:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * product_prod(X1,X0) * fun(X1,fun(X0,fun(X2,bool))) ) > X1 ) ).
tff(func_def_97,type,
sK61:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * product_prod(X1,X0) * fun(X1,fun(X0,fun(X2,bool))) ) > X0 ) ).
tff(func_def_98,type,
sK62:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * product_prod(X1,X0) ) > X1 ) ).
tff(func_def_99,type,
sK63:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * product_prod(X1,X0) ) > X0 ) ).
tff(func_def_100,type,
sK64:
!>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,bool)) ) > X0 ) ).
tff(func_def_101,type,
sK65:
!>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,bool)) ) > X1 ) ).
tff(func_def_102,type,
sK66:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) * product_prod(X2,X1) ) > X2 ) ).
tff(func_def_103,type,
sK67:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) * product_prod(X2,X1) ) > X1 ) ).
tff(func_def_104,type,
sK68:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X2) * fun(X0,fun(X2,X1)) * fun(X1,bool) ) > X0 ) ).
tff(func_def_105,type,
sK69:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X2) * fun(X0,fun(X2,X1)) * fun(X1,bool) ) > X2 ) ).
tff(func_def_106,type,
sK70:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_107,type,
sK71:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_108,type,
sK72:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_109,type,
sK73: ( 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_110,type,
sK74: ( 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)) ) > arrow_411405190le_alt ).
tff(func_def_111,type,
sK75: ( 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)) ) > arrow_411405190le_alt ).
tff(func_def_112,type,
sK76:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(product_prod(X2,X1),X0) * fun(X2,fun(X1,X0)) ) > X2 ) ).
tff(func_def_113,type,
sK77:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(product_prod(X2,X1),X0) * fun(X2,fun(X1,X0)) ) > X1 ) ).
tff(func_def_114,type,
sK78:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * fun(X1,X0) * fun(X1,bool) ) > X1 ) ).
tff(func_def_115,type,
sK79:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,bool) * fun(X0,X1) * fun(X0,bool) ) > X0 ) ).
tff(func_def_116,type,
sK80:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * fun(X1,X0) * fun(X1,bool) ) > X1 ) ).
tff(func_def_117,type,
sK81:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * fun(X1,bool) ) > X1 ) ).
tff(func_def_118,type,
sK82:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > X1 ) ).
tff(func_def_119,type,
sK83:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > 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(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/sandbox2/benchmark/theBenchmark.p',fact_0_A_I3_J) ).
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/sandbox2/benchmark/theBenchmark.p',fact_1_A_I4_J) ).
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/sandbox2/benchmark/theBenchmark.p',fact_4__C2_C) ).
tff(f6,axiom,
a1 != b1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_A_I1_J) ).
tff(f7,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_A_I2_J) ).
tff(f8,axiom,
( ( a1 != b )
& ( b1 != a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7__096a_A_126_061_Ab_H_A_G_Ab_A_126_061_Aa_H_096) ).
tff(f9,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/sandbox2/benchmark/theBenchmark.p',fact_8_A_I5_J) ).
tff(f10,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/sandbox2/benchmark/theBenchmark.p',fact_9__C1_C) ).
tff(f47,axiom,
! [X0: $tType,X1: $tType,X2: $tType,X3: X2,X4: X1,X5: fun(product_prod(X1,X2),X0)] : ( aa(X2,X0,aa(X1,fun(X2,X0),product_curry(X1,X2,X0,X5),X4),X3) = aa(product_prod(X1,X2),X0,X5,aa(X2,product_prod(X1,X2),aa(X1,fun(X2,product_prod(X1,X2)),product_Pair(X1,X2),X4),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_curry__conv) ).
tff(f104,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/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_U) ).
tff(f112,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/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f113,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)],[f112]) ).
tff(f117,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),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))) )
| ? [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(f118,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),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))) )
| ? [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,[],[f117]) ).
tff(f119,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,[],[f10]) ).
tff(f120,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,[],[f119]) ).
tff(f189,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,[],[f113]) ).
tff(f190,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(f191,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(f194,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] :
( ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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))
| 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,sK0(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,sK0(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(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))) ),
inference(cnf_transformation,[],[f118]) ).
tff(f195,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] :
( ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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))
| ~ 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,sK0(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,sK0(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(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))) ),
inference(cnf_transformation,[],[f118]) ).
tff(f198,plain,
a1 != b1,
inference(cnf_transformation,[],[f6]) ).
tff(f199,plain,
a != b,
inference(cnf_transformation,[],[f7]) ).
tff(f200,plain,
b1 != a,
inference(cnf_transformation,[],[f8]) ).
tff(f201,plain,
a1 != b,
inference(cnf_transformation,[],[f8]) ).
tff(f202,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,[],[f9]) ).
tff(f203,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,[],[f9]) ).
tff(f204,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] :
( ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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))
| 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,sK1(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,sK1(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(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))) ),
inference(cnf_transformation,[],[f120]) ).
tff(f205,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] :
( ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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))
| ~ 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,sK1(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,sK1(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(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))) ),
inference(cnf_transformation,[],[f120]) ).
tff(f297,plain,
! [X1: $tType,X0: $tType,X2: $tType,X3: X2,X4: X1,X5: fun(product_prod(X1,X2),X0)] : ( aa(X2,X0,aa(X1,fun(X2,X0),product_curry(X1,X2,X0,X5),X4),X3) = aa(product_prod(X1,X2),X0,X5,aa(X2,product_prod(X1,X2),aa(X1,fun(X2,product_prod(X1,X2)),product_Pair(X1,X2),X4),X3)) ),
inference(cnf_transformation,[],[f47]) ).
tff(f377,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,[],[f104]) ).
tff(f385,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,[],[f189]) ).
tff(f386,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,[],[f189]) ).
tff(f442,definition,
( spl84_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,[spl84_1])],[avatar_definition]) ).
tff(f443,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)))
| spl84_1 ),
inference(avatar_component_clause,[],[f442]) ).
tff(f444,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)))
| ~ spl84_1 ),
inference(avatar_component_clause,[],[f442]) ).
tff(f446,definition,
( spl84_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,[spl84_2])],[avatar_definition]) ).
tff(f447,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)))
| spl84_2 ),
inference(avatar_component_clause,[],[f446]) ).
tff(f448,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)))
| ~ spl84_2 ),
inference(avatar_component_clause,[],[f446]) ).
tff(f449,plain,
( spl84_1
| spl84_2 ),
inference(avatar_split_clause,[],[f385,f446,f442]) ).
tff(f450,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)))
| ~ spl84_2 ),
inference(forward_subsumption_resolution,[],[f386,f448]) ).
tff(f451,plain,
( ~ spl84_1
| ~ spl84_2 ),
inference(avatar_split_clause,[],[f450,f446,f442]) ).
tff(f728,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,[],[f190,f377]) ).
tff(f733,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,[],[f191,f377]) ).
tff(f2089,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,[],[f202,f377]) ).
tff(f2090,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,[],[f2089,f297]) ).
tff(f2091,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,[],[f2090,f377]) ).
tff(f2092,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,[],[f2091,f377]) ).
tff(f2093,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,[],[f2092,f297]) ).
tff(f2094,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,[],[f2093,f377]) ).
tff(f2101,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,[],[f203,f377]) ).
tff(f2102,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,[],[f2101,f297]) ).
tff(f2103,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,[],[f2102,f377]) ).
tff(f2104,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,[],[f2103,f377]) ).
tff(f2105,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,[],[f2104,f297]) ).
tff(f2106,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,[],[f2105,f377]) ).
tff(f2618,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)))
| ~ spl84_1 ),
inference(forward_demodulation,[],[f444,f377]) ).
tff(f2619,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)))
| spl84_2 ),
inference(forward_demodulation,[],[f447,f377]) ).
tff(f2621,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))
| ~ spl84_1 ),
inference(forward_demodulation,[],[f2618,f297]) ).
tff(f2622,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))
| spl84_2 ),
inference(forward_demodulation,[],[f2619,f297]) ).
tff(f2624,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))
| ~ spl84_1 ),
inference(forward_demodulation,[],[f2621,f377]) ).
tff(f2625,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))
| spl84_2 ),
inference(forward_demodulation,[],[f2622,f377]) ).
tff(f5071,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),X1))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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(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,sK0(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,sK0(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(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))) ),
inference(forward_demodulation,[],[f194,f377]) ).
tff(f5072,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(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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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,sK0(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,sK0(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(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))) ),
inference(forward_demodulation,[],[f5071,f377]) ).
tff(f5073,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,sK0(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(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(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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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,sK0(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(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))) ),
inference(forward_demodulation,[],[f5072,f377]) ).
tff(f5074,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,sK0(X0,X1,X2,X3,X4,X5)))),X3),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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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,sK0(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(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))) ),
inference(forward_demodulation,[],[f5073,f297]) ).
tff(f5075,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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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,sK0(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(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))) ),
inference(forward_demodulation,[],[f5074,f377]) ).
tff(f5076,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,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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))) ),
inference(forward_demodulation,[],[f5075,f377]) ).
tff(f5077,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,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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))) ),
inference(forward_demodulation,[],[f5076,f297]) ).
tff(f5078,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,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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))) ),
inference(forward_demodulation,[],[f5077,f377]) ).
tff(f5079,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(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,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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))) ),
inference(forward_demodulation,[],[f5078,f377]) ).
tff(f5080,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(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,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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))) ),
inference(forward_demodulation,[],[f5079,f297]) ).
tff(f5081,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(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,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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))) ),
inference(forward_demodulation,[],[f5080,f377]) ).
tff(f5082,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(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,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 ) ),
inference(forward_demodulation,[],[f5081,f377]) ).
tff(f5083,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(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,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 ) ),
inference(forward_demodulation,[],[f5082,f297]) ).
tff(f5084,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(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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 ) ),
inference(forward_demodulation,[],[f5083,f377]) ).
tff(f5109,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(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))
| 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,sK0(p,X0,b,a,X1,X2)))),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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK0(p,X0,b,a,X1,X2)))),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),p))
| ~ 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))
| ( X1 = X2 )
| ( a = b )
| ( b = X2 )
| ( a = X1 ) )
| spl84_2 ),
inference(resolution,[],[f5084,f2625]) ).
tff(f5113,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(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))
| 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,sK0(p,X0,b,a,X1,X2)))),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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK0(p,X0,b,a,X1,X2)))),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))
| ( X1 = X2 )
| ( a = b )
| ( b = X2 )
| ( a = X1 ) )
| spl84_2 ),
inference(forward_subsumption_resolution,[],[f5109,f733]) ).
tff(f5115,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,sK0(p,X0,b,a,X1,X2)))),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,sK0(p,X0,b,a,X1,X2)))),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))
| ~ 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))
| ( X1 = X2 )
| ( b = X2 )
| ( a = X1 ) )
| spl84_2 ),
inference(forward_subsumption_resolution,[],[f5113,f199]) ).
tff(f5139,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),X1))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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(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,sK0(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,sK0(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(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))) ),
inference(forward_demodulation,[],[f195,f377]) ).
tff(f5140,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(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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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,sK0(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,sK0(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(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))) ),
inference(forward_demodulation,[],[f5139,f377]) ).
tff(f5141,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,sK0(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(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(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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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,sK0(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(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))) ),
inference(forward_demodulation,[],[f5140,f377]) ).
tff(f5142,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,sK0(X0,X1,X2,X3,X4,X5)))),X3),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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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,sK0(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(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))) ),
inference(forward_demodulation,[],[f5141,f297]) ).
tff(f5143,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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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,sK0(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(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))) ),
inference(forward_demodulation,[],[f5142,f377]) ).
tff(f5144,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,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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))) ),
inference(forward_demodulation,[],[f5143,f377]) ).
tff(f5145,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,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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))) ),
inference(forward_demodulation,[],[f5144,f297]) ).
tff(f5146,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,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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))) ),
inference(forward_demodulation,[],[f5145,f377]) ).
tff(f5147,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(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,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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))) ),
inference(forward_demodulation,[],[f5146,f377]) ).
tff(f5148,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(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,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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))) ),
inference(forward_demodulation,[],[f5147,f297]) ).
tff(f5149,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(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,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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))) ),
inference(forward_demodulation,[],[f5148,f377]) ).
tff(f5150,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(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,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 ) ),
inference(forward_demodulation,[],[f5149,f377]) ).
tff(f5151,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(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,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 ) ),
inference(forward_demodulation,[],[f5150,f297]) ).
tff(f5152,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(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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK0(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,sK0(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 ) ),
inference(forward_demodulation,[],[f5151,f377]) ).
tff(f5177,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(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))
| ~ 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,sK0(p,X0,b,a,X1,X2)))),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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK0(p,X0,b,a,X1,X2)))),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),p))
| ~ 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))
| ( X1 = X2 )
| ( a = b )
| ( b = X2 )
| ( a = X1 ) )
| spl84_2 ),
inference(resolution,[],[f5152,f2625]) ).
tff(f5181,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(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))
| ~ 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,sK0(p,X0,b,a,X1,X2)))),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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK0(p,X0,b,a,X1,X2)))),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))
| ( X1 = X2 )
| ( a = b )
| ( b = X2 )
| ( a = X1 ) )
| spl84_2 ),
inference(forward_subsumption_resolution,[],[f5177,f733]) ).
tff(f5183,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(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))
| ~ 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,sK0(p,X0,b,a,X1,X2)))),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,sK0(p,X0,b,a,X1,X2)))),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),X0))
| ( X1 = X2 )
| ( b = X2 )
| ( a = X1 ) )
| spl84_2 ),
inference(forward_subsumption_resolution,[],[f5181,f199]) ).
tff(f5343,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),X1))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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(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,sK1(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,sK1(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(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))) ),
inference(forward_demodulation,[],[f204,f377]) ).
tff(f5344,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(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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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,sK1(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,sK1(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(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))) ),
inference(forward_demodulation,[],[f5343,f377]) ).
tff(f5345,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,sK1(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(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(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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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,sK1(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(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))) ),
inference(forward_demodulation,[],[f5344,f377]) ).
tff(f5346,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,sK1(X0,X1,X2,X3,X4,X5)))),X3),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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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,sK1(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(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))) ),
inference(forward_demodulation,[],[f5345,f297]) ).
tff(f5347,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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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,sK1(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(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))) ),
inference(forward_demodulation,[],[f5346,f377]) ).
tff(f5348,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,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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))) ),
inference(forward_demodulation,[],[f5347,f377]) ).
tff(f5349,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,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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))) ),
inference(forward_demodulation,[],[f5348,f297]) ).
tff(f5350,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,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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))) ),
inference(forward_demodulation,[],[f5349,f377]) ).
tff(f5351,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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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))) ),
inference(forward_demodulation,[],[f5350,f377]) ).
tff(f5352,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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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))) ),
inference(forward_demodulation,[],[f5351,f297]) ).
tff(f5353,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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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))) ),
inference(forward_demodulation,[],[f5352,f377]) ).
tff(f5354,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(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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 ) ),
inference(forward_demodulation,[],[f5353,f377]) ).
tff(f5355,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(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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 ) ),
inference(forward_demodulation,[],[f5354,f297]) ).
tff(f5356,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(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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 ) ),
inference(forward_demodulation,[],[f5355,f377]) ).
tff(f5411,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),X1))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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(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,sK1(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,sK1(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(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))) ),
inference(forward_demodulation,[],[f205,f377]) ).
tff(f5412,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(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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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,sK1(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,sK1(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(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))) ),
inference(forward_demodulation,[],[f5411,f377]) ).
tff(f5413,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,sK1(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(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(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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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,sK1(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(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))) ),
inference(forward_demodulation,[],[f5412,f377]) ).
tff(f5414,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,sK1(X0,X1,X2,X3,X4,X5)))),X3),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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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,sK1(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(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))) ),
inference(forward_demodulation,[],[f5413,f297]) ).
tff(f5415,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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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,sK1(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(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))) ),
inference(forward_demodulation,[],[f5414,f377]) ).
tff(f5416,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,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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))) ),
inference(forward_demodulation,[],[f5415,f377]) ).
tff(f5417,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,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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))) ),
inference(forward_demodulation,[],[f5416,f297]) ).
tff(f5418,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,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| ~ 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))) ),
inference(forward_demodulation,[],[f5417,f377]) ).
tff(f5419,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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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))) ),
inference(forward_demodulation,[],[f5418,f377]) ).
tff(f5420,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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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))) ),
inference(forward_demodulation,[],[f5419,f297]) ).
tff(f5421,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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 )
| 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))) ),
inference(forward_demodulation,[],[f5420,f377]) ).
tff(f5422,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(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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 ) ),
inference(forward_demodulation,[],[f5421,f377]) ).
tff(f5423,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(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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 ) ),
inference(forward_demodulation,[],[f5422,f297]) ).
tff(f5424,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(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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK1(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,sK1(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),X0))
| ~ 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))
| ( X4 = X5 )
| ( X2 = X3 )
| ( X2 = X5 )
| ( X3 = X4 ) ),
inference(forward_demodulation,[],[f5423,f377]) ).
tff(f6783,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,sK0(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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK0(p,p1,b,a,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),p1))
| ( a1 = b1 )
| ( a1 = b )
| ( b1 = a )
| ~ spl84_1
| spl84_2 ),
inference(resolution,[],[f5183,f2624]) ).
tff(f6858,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,sK0(p,p1,b,a,b1,a1)))),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),p1))
| ( a1 = b1 )
| ( a1 = b )
| ( b1 = a )
| ~ spl84_1
| spl84_2 ),
inference(forward_subsumption_resolution,[],[f6783,f2094]) ).
tff(f6871,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,sK0(p,p1,b,a,b1,a1)))),b),a))
| ( a1 = b1 )
| ( a1 = b )
| ( b1 = a )
| ~ spl84_1
| spl84_2 ),
inference(forward_subsumption_resolution,[],[f6858,f728]) ).
tff(f6874,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,sK0(p,p1,b,a,b1,a1)))),b),a))
| ( a1 = b )
| ( b1 = a )
| ~ spl84_1
| spl84_2 ),
inference(forward_subsumption_resolution,[],[f6871,f198]) ).
tff(f6876,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,sK0(p,p1,b,a,b1,a1)))),b),a))
| ( b1 = a )
| ~ spl84_1
| spl84_2 ),
inference(forward_subsumption_resolution,[],[f6874,f201]) ).
tff(f6877,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,sK0(p,p1,b,a,b1,a1)))),b),a))
| ~ spl84_1
| spl84_2 ),
inference(forward_subsumption_resolution,[],[f6876,f200]) ).
tff(f6878,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,sK0(p,p1,b,a,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(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))
| ~ 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))
| ( a1 = b1 )
| ( a1 = b )
| ( b1 = a )
| ~ spl84_1
| spl84_2 ),
inference(resolution,[],[f6877,f5115]) ).
tff(f6879,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,sK0(p,p1,b,a,b1,a1)))),b1),a1))
| ~ spl84_1
| spl84_2 ),
inference(resolution,[],[f6877,f2106]) ).
tff(f6898,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,sK0(p,p1,b,a,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),p1))
| ( a1 = b1 )
| ( a1 = b )
| ( b1 = a )
| ~ spl84_1
| spl84_2 ),
inference(forward_subsumption_resolution,[],[f6878,f2624]) ).
tff(f6901,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,sK0(p,p1,b,a,b1,a1)))),b1),a1))
| ( a1 = b1 )
| ( a1 = b )
| ( b1 = a )
| ~ spl84_1
| spl84_2 ),
inference(forward_subsumption_resolution,[],[f6898,f728]) ).
tff(f6903,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,sK0(p,p1,b,a,b1,a1)))),b1),a1))
| ( a1 = b )
| ( b1 = a )
| ~ spl84_1
| spl84_2 ),
inference(forward_subsumption_resolution,[],[f6901,f198]) ).
tff(f6904,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,sK0(p,p1,b,a,b1,a1)))),b1),a1))
| ( b1 = a )
| ~ spl84_1
| spl84_2 ),
inference(forward_subsumption_resolution,[],[f6903,f201]) ).
tff(f6905,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,sK0(p,p1,b,a,b1,a1)))),b1),a1))
| ~ spl84_1
| spl84_2 ),
inference(forward_subsumption_resolution,[],[f6904,f200]) ).
tff(f7079,plain,
( $false
| ~ spl84_1
| spl84_2 ),
inference(forward_subsumption_resolution,[],[f6905,f6879]) ).
tff(f7080,plain,
( ~ spl84_1
| spl84_2 ),
inference(avatar_contradiction_clause,[],[f7079]) ).
tff(f7081,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)))
| spl84_1 ),
inference(forward_demodulation,[],[f443,f377]) ).
tff(f7082,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)))
| ~ spl84_2 ),
inference(forward_demodulation,[],[f448,f377]) ).
tff(f7084,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))
| spl84_1 ),
inference(forward_demodulation,[],[f7081,f297]) ).
tff(f7085,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))
| ~ spl84_2 ),
inference(forward_demodulation,[],[f7082,f297]) ).
tff(f7087,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))
| spl84_1 ),
inference(forward_demodulation,[],[f7084,f377]) ).
tff(f7088,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))
| ~ spl84_2 ),
inference(forward_demodulation,[],[f7085,f377]) ).
tff(f7102,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(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))
| 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,sK1(p1,X0,b1,a1,X1,X2)))),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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK1(p1,X0,b1,a1,X1,X2)))),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),p1))
| ~ 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))
| ( X1 = X2 )
| ( a1 = b1 )
| ( b1 = X2 )
| ( a1 = X1 ) )
| spl84_1 ),
inference(resolution,[],[f7087,f5356]) ).
tff(f7103,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(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))
| ~ 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,sK1(p1,X0,b1,a1,X1,X2)))),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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK1(p1,X0,b1,a1,X1,X2)))),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),p1))
| ~ 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))
| ( X1 = X2 )
| ( a1 = b1 )
| ( b1 = X2 )
| ( a1 = X1 ) )
| spl84_1 ),
inference(resolution,[],[f7087,f5424]) ).
tff(f7130,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(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))
| ~ 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,sK1(p1,X0,b1,a1,X1,X2)))),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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK1(p1,X0,b1,a1,X1,X2)))),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))
| ( X1 = X2 )
| ( a1 = b1 )
| ( b1 = X2 )
| ( a1 = X1 ) )
| spl84_1 ),
inference(forward_subsumption_resolution,[],[f7103,f728]) ).
tff(f7131,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(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))
| 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,sK1(p1,X0,b1,a1,X1,X2)))),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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK1(p1,X0,b1,a1,X1,X2)))),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))
| ( X1 = X2 )
| ( a1 = b1 )
| ( b1 = X2 )
| ( a1 = X1 ) )
| spl84_1 ),
inference(forward_subsumption_resolution,[],[f7102,f728]) ).
tff(f7150,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(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))
| ~ 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,sK1(p1,X0,b1,a1,X1,X2)))),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,sK1(p1,X0,b1,a1,X1,X2)))),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),X0))
| ( X1 = X2 )
| ( b1 = X2 )
| ( a1 = X1 ) )
| spl84_1 ),
inference(forward_subsumption_resolution,[],[f7130,f198]) ).
tff(f7151,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,sK1(p1,X0,b1,a1,X1,X2)))),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,sK1(p1,X0,b1,a1,X1,X2)))),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))
| ~ 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))
| ( X1 = X2 )
| ( b1 = X2 )
| ( a1 = X1 ) )
| spl84_1 ),
inference(forward_subsumption_resolution,[],[f7131,f198]) ).
tff(f8398,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,sK1(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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK1(p1,p,b1,a1,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),p))
| ( a = b )
| ( b1 = a )
| ( a1 = b )
| spl84_1
| ~ spl84_2 ),
inference(resolution,[],[f7150,f7088]) ).
tff(f8471,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,sK1(p1,p,b1,a1,b,a)))),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),p))
| ( a = b )
| ( b1 = a )
| ( a1 = b )
| spl84_1
| ~ spl84_2 ),
inference(forward_subsumption_resolution,[],[f8398,f2106]) ).
tff(f8484,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,sK1(p1,p,b1,a1,b,a)))),b1),a1))
| ( a = b )
| ( b1 = a )
| ( a1 = b )
| spl84_1
| ~ spl84_2 ),
inference(forward_subsumption_resolution,[],[f8471,f733]) ).
tff(f8487,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,sK1(p1,p,b1,a1,b,a)))),b1),a1))
| ( b1 = a )
| ( a1 = b )
| spl84_1
| ~ spl84_2 ),
inference(forward_subsumption_resolution,[],[f8484,f199]) ).
tff(f8489,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,sK1(p1,p,b1,a1,b,a)))),b1),a1))
| ( a1 = b )
| spl84_1
| ~ spl84_2 ),
inference(forward_subsumption_resolution,[],[f8487,f200]) ).
tff(f8490,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,sK1(p1,p,b1,a1,b,a)))),b1),a1))
| spl84_1
| ~ spl84_2 ),
inference(forward_subsumption_resolution,[],[f8489,f201]) ).
tff(f8491,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,sK1(p1,p,b1,a1,b,a)))),b),a))
| spl84_1
| ~ spl84_2 ),
inference(resolution,[],[f8490,f2094]) ).
tff(f8514,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,sK1(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,p))),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),p))
| ( a = b )
| ( b1 = a )
| ( a1 = b )
| spl84_1
| ~ spl84_2 ),
inference(resolution,[],[f7151,f8490]) ).
tff(f8516,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,sK1(p1,p,b1,a1,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),p))
| ( a = b )
| ( b1 = a )
| ( a1 = b )
| spl84_1
| ~ spl84_2 ),
inference(forward_subsumption_resolution,[],[f8514,f7088]) ).
tff(f8517,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,sK1(p1,p,b1,a1,b,a)))),b),a))
| ( a = b )
| ( b1 = a )
| ( a1 = b )
| spl84_1
| ~ spl84_2 ),
inference(forward_subsumption_resolution,[],[f8516,f733]) ).
tff(f8518,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,sK1(p1,p,b1,a1,b,a)))),b),a))
| ( b1 = a )
| ( a1 = b )
| spl84_1
| ~ spl84_2 ),
inference(forward_subsumption_resolution,[],[f8517,f199]) ).
tff(f8519,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,sK1(p1,p,b1,a1,b,a)))),b),a))
| ( a1 = b )
| spl84_1
| ~ spl84_2 ),
inference(forward_subsumption_resolution,[],[f8518,f200]) ).
tff(f8520,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,sK1(p1,p,b1,a1,b,a)))),b),a))
| spl84_1
| ~ spl84_2 ),
inference(forward_subsumption_resolution,[],[f8519,f201]) ).
tff(f8694,plain,
( $false
| spl84_1
| ~ spl84_2 ),
inference(forward_subsumption_resolution,[],[f8520,f8491]) ).
tff(f8695,plain,
( spl84_1
| ~ spl84_2 ),
inference(avatar_contradiction_clause,[],[f8694]) ).
cnf(s1,plain,
( spl84_1
| spl84_2 ),
inference(sat_conversion,[],[f449]) ).
cnf(s2,plain,
( ~ spl84_1
| ~ spl84_2 ),
inference(sat_conversion,[],[f451]) ).
cnf(s8,plain,
( ~ spl84_1
| spl84_2 ),
inference(sat_conversion,[],[f7080]) ).
cnf(s10,plain,
( spl84_1
| ~ spl84_2 ),
inference(sat_conversion,[],[f8695]) ).
cnf(s12,plain,
spl84_1,
inference(rat,[],[s1,s10]) ).
cnf(s13,plain,
spl84_2,
inference(rat,[],[s8,s12]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s2,s13,s12]) ).
tff(f8696,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT233_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n010.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 00:01:32 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44 Running first-order model finding
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.84/1.66 % (1440312)Will run a generic schedule for satisfiability detection.
% 6.84/1.66 % (1440323)dis+10_1_sil=32000:sp=arity:random_seed=733737966:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.84/1.66 % (1440321)% WARNING: option uhcvi not known.
% 6.84/1.66 % (1440325)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=764789772:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.84/1.66 % (1440320)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2483681293_2999 on theBenchmark for (2999ds/0Mi)
% 6.84/1.66 % (1440321)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=866841662:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.84/1.66 % (1440324)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3805917732:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.84/1.66 % (1440326)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2526270365:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.84/1.66 % (1440322)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1875101361:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.84/1.66 % Exception at run slice level
% 6.84/1.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.84/1.66 % (1440323)Instruction limit reached!
% 6.84/1.66 % (1440323)------------------------------
% 6.84/1.66 % (1440323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.66 % (1440323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.66 % (1440323)CaDiCaL version: 2.1.3
% 6.84/1.66 % (1440323)Termination reason: Instruction limit
% 6.84/1.66 % (1440323)Termination phase: Saturation
% 6.84/1.66 % (1440323)Time elapsed: 0.052 s
% 6.84/1.66 % (1440323)Peak memory usage: 12 MB
% 6.84/1.66 % (1440323)Instructions burned: 104 (million)
% 6.84/1.66 % (1440335)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=196808827:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.84/1.66 % (1440336)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3559966641:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.84/1.66 % Exception at run slice level
% 6.84/1.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.84/1.66 % (1440339)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=3768102732:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.84/1.66 % (1440324)Instruction limit reached!
% 6.84/1.66 % (1440324)------------------------------
% 6.84/1.66 % (1440324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.66 % (1440324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.66 % (1440324)CaDiCaL version: 2.1.3
% 6.84/1.66 % (1440324)Termination reason: Instruction limit
% 6.84/1.66 % (1440324)Termination phase: Saturation
% 6.84/1.66 % (1440324)Time elapsed: 0.096 s
% 6.84/1.66 % (1440324)Peak memory usage: 12 MB
% 6.84/1.66 % (1440324)Instructions burned: 117 (million)
% 6.84/1.66 % (1440325)Instruction limit reached!
% 6.84/1.66 % (1440325)------------------------------
% 6.84/1.66 % (1440325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.66 % (1440325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.66 % (1440325)CaDiCaL version: 2.1.3
% 6.84/1.66 % (1440325)Termination reason: Instruction limit
% 6.84/1.66 % (1440325)Termination phase: Saturation
% 6.84/1.66 % (1440325)Time elapsed: 0.104 s
% 6.84/1.66 % (1440325)Peak memory usage: 12 MB
% 6.84/1.66 % (1440325)Instructions burned: 135 (million)
% 6.84/1.66 % (1440336)Instruction limit reached!
% 6.84/1.66 % (1440336)------------------------------
% 6.84/1.66 % (1440336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.66 % (1440336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.66 % (1440336)CaDiCaL version: 2.1.3
% 6.84/1.66 % (1440336)Termination reason: Instruction limit
% 6.84/1.66 % (1440336)Termination phase: Saturation
% 6.84/1.66 % (1440336)Time elapsed: 0.056 s
% 6.84/1.66 % (1440336)Peak memory usage: 13 MB
% 6.84/1.66 % (1440336)Instructions burned: 131 (million)
% 6.84/1.66 % (1440341)ott-21_1_sil=16000:fs=off:random_seed=4234430613:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.84/1.66 % (1440342)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4237623436:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.84/1.66 % (1440344)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3659963554:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 6.84/1.66 % (1440326)Instruction limit reached!
% 6.84/1.66 % (1440326)------------------------------
% 6.84/1.66 % (1440326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.66 % (1440326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.66 % (1440326)CaDiCaL version: 2.1.3
% 6.84/1.66 % (1440326)Termination reason: Instruction limit
% 6.84/1.66 % (1440326)Termination phase: Saturation
% 6.84/1.66 % (1440326)Time elapsed: 0.154 s
% 6.84/1.66 % (1440326)Peak memory usage: 13 MB
% 6.84/1.66 % (1440326)Instructions burned: 160 (million)
% 6.84/1.66 % Exception at run slice level
% 6.84/1.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.84/1.66 % (1440348)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=417466116:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.84/1.66 % (1440349)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3083111499:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 6.84/1.66 % Exception at run slice level
% 6.84/1.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.84/1.66 % (1440355)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=2844797832: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)
% 6.84/1.66 % (1440341)Instruction limit reached!
% 6.84/1.66 % (1440341)------------------------------
% 6.84/1.66 % (1440341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.66 % (1440341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.66 % (1440341)CaDiCaL version: 2.1.3
% 6.84/1.66 % (1440341)Termination reason: Instruction limit
% 6.84/1.66 % (1440341)Termination phase: Saturation
% 6.84/1.66 % (1440341)Time elapsed: 0.156 s
% 6.84/1.66 % (1440341)Peak memory usage: 13 MB
% 6.84/1.66 % (1440341)Instructions burned: 180 (million)
% 6.84/1.66 % (1440358)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=330607378:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 6.84/1.66 % (1440339)Instruction limit reached!
% 6.84/1.66 % (1440339)------------------------------
% 6.84/1.66 % (1440339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.66 % (1440339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.66 % (1440339)CaDiCaL version: 2.1.3
% 6.84/1.66 % (1440339)Termination reason: Instruction limit
% 6.84/1.66 % (1440339)Termination phase: Saturation
% 6.84/1.66 % (1440339)Time elapsed: 0.304 s
% 6.84/1.66 % (1440339)Peak memory usage: 17 MB
% 6.84/1.66 % (1440339)Instructions burned: 686 (million)
% 6.84/1.66 % (1440362)fmb+10_1_sil=64000:random_seed=573186958:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 6.84/1.66 % (1440362)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 6.84/1.66 % Exception at run slice level
% 6.84/1.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.84/1.66 % (1440366)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2965930405:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 6.84/1.66 % Exception at run slice level
% 6.84/1.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.84/1.66 % (1440371)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1461803478:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 6.84/1.66 % Exception at run slice level
% 6.84/1.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.84/1.66 % (1440374)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1719094042:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 6.84/1.66 % (1440342)Instruction limit reached!
% 6.84/1.66 % (1440342)------------------------------
% 6.84/1.66 % (1440342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.66 % (1440342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.66 % (1440342)CaDiCaL version: 2.1.3
% 6.84/1.66 % (1440342)Termination reason: Instruction limit
% 6.84/1.66 % (1440342)Termination phase: Saturation
% 6.84/1.66 % (1440342)Time elapsed: 0.421 s
% 6.84/1.66 % (1440342)Peak memory usage: 14 MB
% 6.84/1.66 % (1440342)Instructions burned: 478 (million)
% 6.84/1.66 % (1440377)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4202799710:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 6.84/1.66 % (1440377)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 6.84/1.66 % (1440355)Instruction limit reached!
% 6.84/1.66 % (1440355)------------------------------
% 6.84/1.66 % (1440355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.66 % (1440355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.66 % (1440355)CaDiCaL version: 2.1.3
% 6.84/1.66 % (1440355)Termination reason: Instruction limit
% 6.84/1.66 % (1440355)Termination phase: Saturation
% 6.84/1.66 % (1440355)Time elapsed: 0.633 s
% 6.84/1.66 % (1440355)Peak memory usage: 18 MB
% 6.84/1.66 % (1440355)Instructions burned: 693 (million)
% 6.84/1.66 % (1440389)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3509398126:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 6.84/1.66 % Exception at run slice level
% 6.84/1.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.84/1.66 % (1440391)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1137913360:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 6.84/1.66 % Exception at run slice level
% 6.84/1.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.84/1.66 % (1440394)ott-2_1_sil=16000:newcnf=on:random_seed=211737264:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2989 on theBenchmark for (2989ds/869Mi)
% 6.84/1.66 % (1440358)Instruction limit reached!
% 6.84/1.66 % (1440358)------------------------------
% 6.84/1.66 % (1440358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.66 % (1440358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.66 % (1440358)CaDiCaL version: 2.1.3
% 6.84/1.66 % (1440358)Termination reason: Instruction limit
% 6.84/1.66 % (1440358)Termination phase: Saturation
% 6.84/1.66 % (1440358)Time elapsed: 0.778 s
% 6.84/1.66 % (1440358)Peak memory usage: 19 MB
% 6.84/1.66 % (1440358)Instructions burned: 879 (million)
% 6.84/1.66 % (1440399)ott+10_1_sil=32000:tgt=ground:random_seed=1063742051:i=5114:av=off_2988 on theBenchmark for (2988ds/5114Mi)
% 6.84/1.66 % (1440374) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1440312-1440374"...
% 6.84/1.66 % (1440374)...printing done.
% 6.84/1.66 % (1440374)Refutation found. Thanks to Tanya!
% 6.84/1.66 % SZS status Theorem for theBenchmark
% 6.84/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 6.84/1.67 % (1440374)------------------------------
% 6.84/1.67 % (1440374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.67 % (1440374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.67 % (1440374)CaDiCaL version: 2.1.3
% 6.84/1.67 % (1440374)Termination reason: Refutation
% 6.84/1.67 % (1440374)Time elapsed: 0.617 s
% 6.84/1.67 % (1440374)Peak memory usage: 20 MB
% 6.84/1.67 % (1440374)Instructions burned: 1549 (million)
% 6.84/1.67 % (1440312)Success in time 1.213 s
% 6.84/1.67 % Vampire exiting
%------------------------------------------------------------------------------