%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT233_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 12:37:17 PM UTC 2026
% Result : Theorem 23.23s 4.18s
% Output : Refutation 23.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 26
% Syntax : Number of formulae : 132 ( 30 unt; 0 typ; 17 def)
% Number of atoms : 452 ( 92 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 508 ( 188 ~; 277 |; 8 &)
% ( 25 <=>; 7 =>; 0 <=; 3 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 25 ( 23 usr; 18 prp; 0-5 aty)
% Number of functors : 93 ( 93 usr; 12 con; 0-7 aty)
% Number of variables : 98 ( 0 sgn 95 !; 3 ?; 98 :)
% 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:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_37,type,
sK1:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_38,type,
sK2:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_39,type,
sK3:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_40,type,
sK4:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_41,type,
sK5:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_42,type,
sK6:
!>[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_43,type,
sK7:
!>[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_44,type,
sK8:
!>[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_45,type,
sK9:
!>[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_46,type,
sK10:
!>[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_47,type,
sK11:
!>[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_48,type,
sK12:
!>[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_49,type,
sK13:
!>[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_50,type,
sK14:
!>[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_51,type,
sK15:
!>[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_52,type,
sK16:
!>[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_53,type,
sK17:
!>[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_54,type,
sK18:
!>[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_55,type,
sK19:
!>[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_56,type,
sK20:
!>[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_57,type,
sK21:
!>[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_58,type,
sK22:
!>[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_59,type,
sK23:
!>[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_60,type,
sK24:
!>[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_61,type,
sK25:
!>[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_62,type,
sK26:
!>[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_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) > X0 ) ).
tff(func_def_64,type,
sK28:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X3 ) ).
tff(func_def_65,type,
sK29:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X2 ) ).
tff(func_def_66,type,
sK30:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X1 ) ).
tff(func_def_67,type,
sK31:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X0 ) ).
tff(func_def_68,type,
sK32:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).
tff(func_def_69,type,
sK33:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).
tff(func_def_70,type,
sK34:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).
tff(func_def_71,type,
sK35:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).
tff(func_def_72,type,
sK36:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X2 ) ).
tff(func_def_73,type,
sK37:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X1 ) ).
tff(func_def_74,type,
sK38:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X0 ) ).
tff(func_def_75,type,
sK39:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).
tff(func_def_76,type,
sK40:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).
tff(func_def_77,type,
sK41:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).
tff(func_def_78,type,
sK42:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_79,type,
sK43:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_80,type,
sK44:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_81,type,
sK45:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_82,type,
sK46:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_83,type,
sK47:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_84,type,
sK48:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > X1 ) ).
tff(func_def_85,type,
sK49:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > X0 ) ).
tff(func_def_86,type,
sK50: ( 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_87,type,
sK51: ( 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_88,type,
sK52: ( 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_89,type,
sK53: ( 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_90,type,
sK54:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',fact_4__C2_C) ).
tff(f6,axiom,
a1 != b1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_A_I1_J) ).
tff(f7,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_A_I2_J) ).
tff(f8,axiom,
( ( a1 != b )
& ( b1 != a ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',fact_8_A_I5_J) ).
tff(f77,axiom,
! [X0: $tType,X1: fun(X0,bool),X2: X0] :
( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1))
<=> pp(aa(X0,bool,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_mem__def) ).
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/sandbox/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(f114,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(f132,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(f133,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,[],[f132]) ).
tff(f135,plain,
( ( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))) )
& ( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p)))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p1))) ) ),
inference(nnf_transformation,[],[f114]) ).
tff(f158,plain,
! [X0: $tType,X1: fun(X0,bool),X2: X0] :
( ( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1))
| ~ pp(aa(X0,bool,X1,X2)) )
& ( pp(aa(X0,bool,X1,X2))
| ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1)) ) ),
inference(nnf_transformation,[],[f77]) ).
tff(f165,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))) )
& ( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))) ) )
| ? [X6: arrow_159774573e_indi] :
( ( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,X6)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X6))) )
& ( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,X6)))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X6))) ) )
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(nnf_transformation,[],[f133]) ).
tff(f166,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))) )
& ( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X5),X4)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))) ) )
| ( ( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK53(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,sK53(X0,X1,X2,X3,X4,X5)))) )
& ( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X2)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK53(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,sK53(X0,X1,X2,X3,X4,X5)))) ) )
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53]),skolemize(X6,sK53(X0,X1,X2,X3,X4,X5))],[f165]) ).
tff(f167,plain,
! [X0: arrow_159774573e_indi] :
( ( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))) )
& ( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0))) ) ),
inference(nnf_transformation,[],[f9]) ).
tff(f169,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,[],[f135]) ).
tff(f170,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,[],[f135]) ).
tff(f195,plain,
! [X0: $tType,X2: X0,X1: fun(X0,bool)] :
( ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1))
| pp(aa(X0,bool,X1,X2)) ),
inference(cnf_transformation,[],[f158]) ).
tff(f196,plain,
! [X0: $tType,X2: X0,X1: fun(X0,bool)] :
( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1))
| ~ pp(aa(X0,bool,X1,X2)) ),
inference(cnf_transformation,[],[f158]) ).
tff(f209,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),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)))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),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,sK53(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,sK53(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(cnf_transformation,[],[f166]) ).
tff(f210,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),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)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),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,sK53(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,sK53(X0,X1,X2,X3,X4,X5))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X0),arrow_610318064e_Prof))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),X1),arrow_610318064e_Prof))
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X4 = X5 ) ),
inference(cnf_transformation,[],[f166]) ).
tff(f211,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,[],[f167]) ).
tff(f212,plain,
! [X0: arrow_159774573e_indi] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),b)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))) ),
inference(cnf_transformation,[],[f167]) ).
tff(f213,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(f214,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(f215,plain,
b1 != a,
inference(cnf_transformation,[],[f8]) ).
tff(f216,plain,
a1 != b,
inference(cnf_transformation,[],[f8]) ).
tff(f217,plain,
a != b,
inference(cnf_transformation,[],[f7]) ).
tff(f218,plain,
a1 != b1,
inference(cnf_transformation,[],[f6]) ).
tff(f225,definition,
( spl55_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,[spl55_1])],[avatar_definition]) ).
tff(f226,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)))
| spl55_1 ),
inference(avatar_component_clause,[],[f225]) ).
tff(f227,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)))
| ~ spl55_1 ),
inference(avatar_component_clause,[],[f225]) ).
tff(f229,definition,
( spl55_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,[spl55_2])],[avatar_definition]) ).
tff(f230,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)))
| spl55_2 ),
inference(avatar_component_clause,[],[f229]) ).
tff(f232,plain,
( spl55_1
| spl55_2 ),
inference(avatar_split_clause,[],[f169,f229,f225]) ).
tff(f233,plain,
( ~ spl55_1
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f170,f229,f225]) ).
tff(f248,definition,
( spl55_3
<=> ( a1 = b1 ) ),
introduced(definition,[new_symbols(definition,[spl55_3])],[avatar_definition]) ).
tff(f250,plain,
( ( a1 = b1 )
| ~ spl55_3 ),
inference(avatar_component_clause,[],[f248]) ).
tff(f252,definition,
( spl55_4
<=> 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)) ),
introduced(definition,[new_symbols(definition,[spl55_4])],[avatar_definition]) ).
tff(f254,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))
| spl55_4 ),
inference(avatar_component_clause,[],[f252]) ).
tff(f256,definition,
( spl55_5
<=> ! [X2: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0: arrow_411405190le_alt,X1: 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),X0),X1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X2)))
| ( X0 = X1 )
| ( a1 = X1 )
| ( b1 = X0 )
| ~ 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))),X2),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),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK53(X2,p1,X1,X0,b1,a1))))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X2,sK53(X2,p1,X1,X0,b1,a1)))) ) ),
introduced(definition,[new_symbols(definition,[spl55_5])],[avatar_definition]) ).
tff(f257,plain,
( ! [X2: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0: arrow_411405190le_alt,X1: 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),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK53(X2,p1,X1,X0,b1,a1))))
| ( X0 = X1 )
| ( a1 = X1 )
| ( b1 = X0 )
| ~ 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))),X2),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),X0),X1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X2)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X2,sK53(X2,p1,X1,X0,b1,a1)))) )
| ~ spl55_5 ),
inference(avatar_component_clause,[],[f256]) ).
tff(f260,definition,
( spl55_6
<=> ! [X2: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0: arrow_411405190le_alt,X1: 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),X0),X1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X2)))
| ( X0 = X1 )
| ( a1 = X1 )
| ( b1 = X0 )
| ~ 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))),X2),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),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK53(X2,p1,X1,X0,b1,a1))))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X2,sK53(X2,p1,X1,X0,b1,a1)))) ) ),
introduced(definition,[new_symbols(definition,[spl55_6])],[avatar_definition]) ).
tff(f261,plain,
( ! [X2: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0: arrow_411405190le_alt,X1: 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),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK53(X2,p1,X1,X0,b1,a1))))
| ( X0 = X1 )
| ( a1 = X1 )
| ( b1 = X0 )
| ~ 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))),X2),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),X0),X1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X2)))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X2,sK53(X2,p1,X1,X0,b1,a1)))) )
| ~ spl55_6 ),
inference(avatar_component_clause,[],[f260]) ).
tff(f306,plain,
( $false
| spl55_4 ),
inference(unit_resulting_resolution,[],[f254,f214]) ).
tff(f310,plain,
spl55_4,
inference(avatar_contradiction_clause,[],[f306]) ).
tff(f311,plain,
( $false
| ~ spl55_3 ),
inference(unit_resulting_resolution,[],[f250,f218]) ).
tff(f319,plain,
~ spl55_3,
inference(avatar_contradiction_clause,[],[f311]) ).
tff(f320,plain,
( pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,aa(fun(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)))
| ~ spl55_1 ),
inference(resolution,[],[f227,f195]) ).
tff(f336,definition,
( spl55_17
<=> ( a = b ) ),
introduced(definition,[new_symbols(definition,[spl55_17])],[avatar_definition]) ).
tff(f338,plain,
( ( a = b )
| ~ spl55_17 ),
inference(avatar_component_clause,[],[f336]) ).
tff(f340,definition,
( spl55_18
<=> 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)) ),
introduced(definition,[new_symbols(definition,[spl55_18])],[avatar_definition]) ).
tff(f342,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))
| spl55_18 ),
inference(avatar_component_clause,[],[f340]) ).
tff(f344,definition,
( spl55_19
<=> ! [X2: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0: arrow_411405190le_alt,X1: 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),X0),X1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X2)))
| ( X0 = X1 )
| ( a = X1 )
| ( b = X0 )
| ~ 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))),X2),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),a),b)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK53(X2,p,X1,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),X0),X1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X2,sK53(X2,p,X1,X0,b,a)))) ) ),
introduced(definition,[new_symbols(definition,[spl55_19])],[avatar_definition]) ).
tff(f345,plain,
( ! [X2: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0: arrow_411405190le_alt,X1: 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),a),b)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK53(X2,p,X1,X0,b,a))))
| ( X0 = X1 )
| ( a = X1 )
| ( b = X0 )
| ~ 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))),X2),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),X0),X1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X2)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X2,sK53(X2,p,X1,X0,b,a)))) )
| ~ spl55_19 ),
inference(avatar_component_clause,[],[f344]) ).
tff(f392,plain,
( $false
| spl55_18 ),
inference(unit_resulting_resolution,[],[f342,f213]) ).
tff(f396,plain,
spl55_18,
inference(avatar_contradiction_clause,[],[f392]) ).
tff(f397,plain,
( $false
| ~ spl55_17 ),
inference(unit_resulting_resolution,[],[f338,f217]) ).
tff(f405,plain,
~ spl55_17,
inference(avatar_contradiction_clause,[],[f397]) ).
tff(f949,plain,
( ! [X2: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0: arrow_411405190le_alt,X1: 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),X0),X1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X2)))
| ( a = X1 )
| ( b = X0 )
| ~ 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))),X2),arrow_610318064e_Prof))
| ( X0 = 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),X0),X1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X2,sK53(X2,p,X1,X0,b,a))))
| ~ pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK53(X2,p,X1,X0,b,a)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),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))) )
| ~ spl55_19 ),
inference(resolution,[],[f345,f196]) ).
tff(f969,plain,
( ! [X2: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0: arrow_411405190le_alt,X1: 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),X1),X0)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X2,sK53(X2,p,X0,X1,b,a))))
| ( b = X1 )
| ~ 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))),X2),arrow_610318064e_Prof))
| ( X0 = X1 )
| ( a = X0 )
| ~ pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK53(X2,p,X0,X1,b,a)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),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(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X2),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0))) )
| ~ spl55_19 ),
inference(resolution,[],[f949,f196]) ).
tff(f987,definition,
( spl55_86
<=> pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK53(p1,p,b1,a1,b,a)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),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))) ),
introduced(definition,[new_symbols(definition,[spl55_86])],[avatar_definition]) ).
tff(f991,definition,
( spl55_87
<=> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),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,sK53(p1,p,b1,a1,b,a)))) ),
introduced(definition,[new_symbols(definition,[spl55_87])],[avatar_definition]) ).
tff(f993,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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK53(p1,p,b1,a1,b,a))))
| spl55_87 ),
inference(avatar_component_clause,[],[f991]) ).
tff(f995,definition,
( spl55_88
<=> ( a1 = b ) ),
introduced(definition,[new_symbols(definition,[spl55_88])],[avatar_definition]) ).
tff(f997,plain,
( ( a1 = b )
| ~ spl55_88 ),
inference(avatar_component_clause,[],[f995]) ).
tff(f999,definition,
( spl55_89
<=> ( b1 = a ) ),
introduced(definition,[new_symbols(definition,[spl55_89])],[avatar_definition]) ).
tff(f1001,plain,
( ( b1 = a )
| ~ spl55_89 ),
inference(avatar_component_clause,[],[f999]) ).
tff(f1007,plain,
( ( a1 = b )
| ~ 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))
| ( a1 = b1 )
| ( b1 = a )
| ~ pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK53(p1,p,b1,a1,b,a)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),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(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,aa(fun(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)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),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,sK53(p1,p,b1,a1,b,a))))
| ~ spl55_19 ),
inference(resolution,[],[f969,f212]) ).
tff(f1112,definition,
( spl55_103
<=> pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,aa(fun(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))) ),
introduced(definition,[new_symbols(definition,[spl55_103])],[avatar_definition]) ).
tff(f1646,plain,
( ! [X2: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0: arrow_411405190le_alt,X1: 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),X0),X1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X2)))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X2,sK53(X2,p1,X1,X0,b1,a1))))
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK53(X2,p1,X1,X0,b1,a1))))
| ~ 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))),X2),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))),p1),arrow_610318064e_Prof))
| ( b1 = X0 )
| ( a1 = X1 )
| ( X0 = X1 )
| ( a1 = b1 ) )
| spl55_1 ),
inference(resolution,[],[f226,f209]) ).
tff(f1647,plain,
( ! [X2: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0: arrow_411405190le_alt,X1: 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),X0),X1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X2)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X2,sK53(X2,p1,X1,X0,b1,a1))))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),b1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK53(X2,p1,X1,X0,b1,a1))))
| ~ 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))),X2),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))),p1),arrow_610318064e_Prof))
| ( b1 = X0 )
| ( a1 = X1 )
| ( X0 = X1 )
| ( a1 = b1 ) )
| spl55_1 ),
inference(resolution,[],[f226,f210]) ).
tff(f1649,plain,
( spl55_3
| ~ spl55_4
| spl55_5
| spl55_1 ),
inference(avatar_split_clause,[],[f1647,f225,f256,f252,f248]) ).
tff(f1650,plain,
( spl55_3
| ~ spl55_4
| spl55_6
| spl55_1 ),
inference(avatar_split_clause,[],[f1646,f225,f260,f252,f248]) ).
tff(f3670,plain,
( ! [X2: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0: arrow_411405190le_alt,X1: 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),a),b)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK53(X2,p1,X1,X0,b1,a1))))
| ( a1 = X1 )
| ( b1 = X0 )
| ~ 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))),X2),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),X0),X1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X2)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X2,sK53(X2,p1,X1,X0,b1,a1))))
| ( X0 = X1 ) )
| ~ spl55_5 ),
inference(resolution,[],[f257,f212]) ).
tff(f3717,definition,
( spl55_437
<=> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),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,sK53(p,p1,b,a,b1,a1)))) ),
introduced(definition,[new_symbols(definition,[spl55_437])],[avatar_definition]) ).
tff(f3719,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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK53(p,p1,b,a,b1,a1))))
| spl55_437 ),
inference(avatar_component_clause,[],[f3717]) ).
tff(f3956,plain,
( $false
| ~ spl55_88 ),
inference(unit_resulting_resolution,[],[f997,f216]) ).
tff(f4078,plain,
~ spl55_88,
inference(avatar_contradiction_clause,[],[f3956]) ).
tff(f4280,plain,
( $false
| ~ spl55_89 ),
inference(unit_resulting_resolution,[],[f1001,f215]) ).
tff(f4376,plain,
~ spl55_89,
inference(avatar_contradiction_clause,[],[f4280]) ).
tff(f5040,definition,
( spl55_485
<=> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),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,sK53(p1,p,b1,a1,b,a)))) ),
introduced(definition,[new_symbols(definition,[spl55_485])],[avatar_definition]) ).
tff(f5041,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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK53(p1,p,b1,a1,b,a))))
| ~ spl55_485 ),
inference(avatar_component_clause,[],[f5040]) ).
tff(f5042,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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK53(p1,p,b1,a1,b,a))))
| spl55_485 ),
inference(avatar_component_clause,[],[f5040]) ).
tff(f6494,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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK53(p,p1,b,a,b1,a1))))
| ( a1 = b )
| ( b1 = a )
| ~ 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))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),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)))
| ( a = b )
| ~ spl55_5 ),
inference(factoring,[],[f3670]) ).
tff(f6499,plain,
( spl55_17
| ~ spl55_2
| ~ spl55_18
| spl55_89
| spl55_88
| ~ spl55_437
| ~ spl55_5 ),
inference(avatar_split_clause,[],[f6494,f256,f3717,f995,f999,f340,f229,f336]) ).
tff(f6536,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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK53(p,p1,b,a,b1,a1))))
| spl55_437 ),
inference(resolution,[],[f3719,f211]) ).
tff(f6550,definition,
( spl55_564
<=> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),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,sK53(p,p1,b,a,b1,a1)))) ),
introduced(definition,[new_symbols(definition,[spl55_564])],[avatar_definition]) ).
tff(f6552,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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK53(p,p1,b,a,b1,a1))))
| spl55_564 ),
inference(avatar_component_clause,[],[f6550]) ).
tff(f6633,plain,
( ~ spl55_564
| spl55_437 ),
inference(avatar_split_clause,[],[f6536,f3717,f6550]) ).
tff(f6637,plain,
( ( a = b )
| ( a1 = b )
| ( b1 = a )
| ~ 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))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),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),a),b)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK53(p,p1,b,a,b1,a1))))
| ~ spl55_6
| spl55_564 ),
inference(resolution,[],[f6552,f261]) ).
tff(f6645,plain,
( spl55_437
| ~ spl55_2
| ~ spl55_18
| spl55_89
| spl55_88
| spl55_17
| ~ spl55_6
| spl55_564 ),
inference(avatar_split_clause,[],[f6637,f6550,f260,f336,f995,f999,f340,f229,f3717]) ).
tff(f6655,plain,
( spl55_103
| ~ spl55_1 ),
inference(avatar_split_clause,[],[f320,f225,f1112]) ).
tff(f7013,plain,
( ~ spl55_485
| ~ spl55_103
| ~ spl55_86
| spl55_89
| spl55_3
| ~ spl55_4
| spl55_88
| ~ spl55_19 ),
inference(avatar_split_clause,[],[f1007,f344,f995,f252,f248,f999,f987,f1112,f5040]) ).
tff(f7062,plain,
( ! [X2: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0: arrow_411405190le_alt,X1: 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),X0),X1)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X2)))
| ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X2,sK53(X2,p,X1,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),a),b)),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK53(X2,p,X1,X0,b,a))))
| ~ 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))),X2),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))),p),arrow_610318064e_Prof))
| ( b = X0 )
| ( a = X1 )
| ( X0 = X1 )
| ( a = b ) )
| spl55_2 ),
inference(resolution,[],[f230,f210]) ).
tff(f7064,plain,
( spl55_17
| ~ spl55_18
| spl55_19
| spl55_2 ),
inference(avatar_split_clause,[],[f7062,f229,f344,f340,f336]) ).
tff(f7100,plain,
( $false
| ~ spl55_1
| spl55_2
| spl55_87
| spl55_485 ),
inference(unit_resulting_resolution,[],[f209,f217,f218,f215,f216,f213,f214,f230,f993,f227,f5042]) ).
tff(f7103,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(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK53(p1,p,b1,a1,b,a))))
| spl55_485 ),
inference(resolution,[],[f5042,f211]) ).
tff(f7107,plain,
( ~ spl55_1
| spl55_2
| spl55_87
| spl55_485 ),
inference(avatar_contradiction_clause,[],[f7100]) ).
tff(f7114,plain,
( ~ spl55_87
| spl55_485 ),
inference(avatar_split_clause,[],[f7103,f5040,f991]) ).
tff(f7123,plain,
( pp(aa(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool,aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK53(p1,p,b1,a1,b,a)),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),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)))
| ~ spl55_485 ),
inference(resolution,[],[f5041,f195]) ).
tff(f7126,plain,
( spl55_86
| ~ spl55_485 ),
inference(avatar_split_clause,[],[f7123,f5040,f987]) ).
cnf(s1,plain,
( spl55_1
| spl55_2 ),
inference(sat_conversion,[],[f232]) ).
cnf(s2,plain,
( ~ spl55_1
| ~ spl55_2 ),
inference(sat_conversion,[],[f233]) ).
cnf(s16,plain,
spl55_4,
inference(sat_conversion,[],[f310]) ).
cnf(s18,plain,
~ spl55_3,
inference(sat_conversion,[],[f319]) ).
cnf(s32,plain,
spl55_18,
inference(sat_conversion,[],[f396]) ).
cnf(s34,plain,
~ spl55_17,
inference(sat_conversion,[],[f405]) ).
cnf(s188,plain,
( spl55_1
| spl55_3
| ~ spl55_4
| spl55_5 ),
inference(sat_conversion,[],[f1649]) ).
cnf(s189,plain,
( spl55_1
| spl55_3
| ~ spl55_4
| spl55_6 ),
inference(sat_conversion,[],[f1650]) ).
cnf(s504,plain,
~ spl55_88,
inference(sat_conversion,[],[f4078]) ).
cnf(s520,plain,
~ spl55_89,
inference(sat_conversion,[],[f4376]) ).
cnf(s654,plain,
( ~ spl55_2
| ~ spl55_5
| spl55_17
| ~ spl55_18
| spl55_88
| spl55_89
| ~ spl55_437 ),
inference(sat_conversion,[],[f6499]) ).
cnf(s687,plain,
( spl55_437
| ~ spl55_564 ),
inference(sat_conversion,[],[f6633]) ).
cnf(s692,plain,
( ~ spl55_2
| ~ spl55_6
| spl55_17
| ~ spl55_18
| spl55_88
| spl55_89
| spl55_437
| spl55_564 ),
inference(sat_conversion,[],[f6645]) ).
cnf(s693,plain,
( ~ spl55_1
| spl55_103 ),
inference(sat_conversion,[],[f6655]) ).
cnf(s797,plain,
( spl55_3
| ~ spl55_4
| ~ spl55_19
| ~ spl55_86
| spl55_88
| spl55_89
| ~ spl55_103
| ~ spl55_485 ),
inference(sat_conversion,[],[f7013]) ).
cnf(s806,plain,
( spl55_2
| spl55_17
| ~ spl55_18
| spl55_19 ),
inference(sat_conversion,[],[f7064]) ).
cnf(s821,plain,
( ~ spl55_1
| spl55_2
| spl55_87
| spl55_485 ),
inference(sat_conversion,[],[f7107]) ).
cnf(s828,plain,
( ~ spl55_87
| spl55_485 ),
inference(sat_conversion,[],[f7114]) ).
cnf(s833,plain,
( spl55_86
| ~ spl55_485 ),
inference(sat_conversion,[],[f7126]) ).
cnf(s957,plain,
spl55_1,
inference(rat,[],[s692,s687,s654,s1,s188,s189,s34,s32,s504,s520,s18,s16]) ).
cnf(s958,plain,
spl55_103,
inference(rat,[],[s693,s957]) ).
cnf(s959,plain,
~ spl55_2,
inference(rat,[],[s2,s957]) ).
cnf(s964,plain,
spl55_19,
inference(rat,[],[s806,s32,s34,s959]) ).
cnf(s1070,plain,
spl55_485,
inference(rat,[],[s821,s828,s957,s959]) ).
cnf(s1071,plain,
spl55_86,
inference(rat,[],[s833,s1070]) ).
cnf(s1073,plain,
$false,
inference(rat,[],[s797,s964,s958,s520,s504,s16,s18,s1071,s1070]) ).
tff(f7127,plain,
$false,
inference(avatar_sat_refutation,[],[s1073]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT233_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n010.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 00:01:32 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.18/2.36 % (1440188)Detected formulas, will run a generic FOF schedule.
% 10.18/2.36 % (1440290)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1490234028:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.18/2.36 % (1440296)dis-21_1_sil=8000:lcm=predicate:random_seed=3755827939:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.18/2.36 % (1440295)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1844279509:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.18/2.36 % (1440292)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2625432519:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.18/2.36 % (1440293)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1645276758:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.18/2.36 % (1440294)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1155941802:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.18/2.36 % (1440291)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3721503288:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.18/2.36 % (1440293)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 10.18/2.36 % (1440292)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 10.18/2.36 % (1440293)Instruction limit reached!
% 10.18/2.36 % (1440293)------------------------------
% 10.18/2.36 % (1440293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.36 % (1440293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.36 % (1440293)CaDiCaL version: 2.1.3
% 10.18/2.36 % (1440293)Termination reason: Instruction limit
% 10.18/2.36 % (1440293)Termination phase: Saturation
% 10.18/2.36 % (1440293)Time elapsed: 0.052 s
% 10.18/2.36 % (1440293)Peak memory usage: 89 MB
% 10.18/2.36 % (1440293)Instructions burned: 110 (million)
% 10.18/2.36 % (1440296)Instruction limit reached!
% 10.18/2.36 % (1440296)------------------------------
% 10.18/2.36 % (1440296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.36 % (1440296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.36 % (1440296)CaDiCaL version: 2.1.3
% 10.18/2.36 % (1440296)Termination reason: Instruction limit
% 10.18/2.36 % (1440296)Termination phase: Saturation
% 10.18/2.36 % (1440296)Time elapsed: 0.058 s
% 10.18/2.36 % (1440296)Peak memory usage: 88 MB
% 10.18/2.36 % (1440296)Instructions burned: 131 (million)
% 10.18/2.36 % (1440294)Instruction limit reached!
% 10.18/2.36 % (1440294)------------------------------
% 10.18/2.36 % (1440294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.36 % (1440294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.36 % (1440294)CaDiCaL version: 2.1.3
% 10.18/2.36 % (1440294)Termination reason: Instruction limit
% 10.18/2.36 % (1440294)Termination phase: Saturation
% 10.18/2.36 % (1440294)Time elapsed: 0.064 s
% 10.18/2.36 % (1440294)Peak memory usage: 88 MB
% 10.18/2.36 % (1440294)Instructions burned: 123 (million)
% 10.18/2.36 % (1440295)Instruction limit reached!
% 10.18/2.36 % (1440295)------------------------------
% 10.18/2.36 % (1440295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.36 % (1440295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.36 % (1440295)CaDiCaL version: 2.1.3
% 10.18/2.36 % (1440295)Termination reason: Instruction limit
% 10.18/2.36 % (1440295)Termination phase: Saturation
% 10.18/2.36 % (1440295)Time elapsed: 0.084 s
% 10.18/2.36 % (1440295)Peak memory usage: 89 MB
% 10.18/2.36 % (1440295)Instructions burned: 139 (million)
% 10.18/2.36 % Exception at run slice level
% 10.18/2.36 User error: GNN currently only supports monomorphic FOL.
% 10.18/2.36 % (1440318)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1929922682:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.18/2.36 % (1440319)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3285405792:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.18/2.36 % (1440317)lrs+10_1_sil=8000:sp=occurrence:random_seed=741531740:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.74/2.68 % (1440327)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3642785657:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.74/2.68 % (1440318)Instruction limit reached!
% 11.74/2.68 % (1440318)------------------------------
% 11.74/2.68 % (1440318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.68 % (1440318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.68 % (1440318)CaDiCaL version: 2.1.3
% 11.74/2.68 % (1440318)Termination reason: Instruction limit
% 11.74/2.68 % (1440318)Termination phase: Saturation
% 11.74/2.68 % (1440318)Time elapsed: 0.132 s
% 11.74/2.68 % (1440318)Peak memory usage: 89 MB
% 11.74/2.68 % (1440318)Instructions burned: 158 (million)
% 11.74/2.68 % (1440343)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1416462024:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.74/2.68 % (1440343)Instruction limit reached!
% 11.74/2.68 % (1440343)------------------------------
% 11.74/2.68 % (1440343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.68 % (1440343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.68 % (1440343)CaDiCaL version: 2.1.3
% 11.74/2.68 % (1440343)Termination reason: Instruction limit
% 11.74/2.68 % (1440343)Termination phase: Saturation
% 11.74/2.68 % (1440343)Time elapsed: 0.101 s
% 11.74/2.68 % (1440343)Peak memory usage: 89 MB
% 11.74/2.68 % (1440343)Instructions burned: 298 (million)
% 11.74/2.68 % Exception at run slice level
% 11.74/2.68 User error: GNN currently only supports monomorphic FOL.
% 11.74/2.68 % (1440317)Instruction limit reached!
% 11.74/2.68 % (1440317)------------------------------
% 11.74/2.68 % (1440317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.68 % (1440317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.68 % (1440317)CaDiCaL version: 2.1.3
% 11.74/2.68 % (1440317)Termination reason: Instruction limit
% 11.74/2.68 % (1440317)Termination phase: Saturation
% 11.74/2.68 % (1440317)Time elapsed: 0.251 s
% 11.74/2.68 % (1440317)Peak memory usage: 90 MB
% 11.74/2.68 % (1440317)Instructions burned: 288 (million)
% 11.74/2.68 % (1440327)Instruction limit reached!
% 11.74/2.68 % (1440327)------------------------------
% 11.74/2.68 % (1440327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.68 % (1440327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.68 % (1440327)CaDiCaL version: 2.1.3
% 11.74/2.68 % (1440327)Termination reason: Instruction limit
% 11.74/2.68 % (1440327)Termination phase: Saturation
% 11.74/2.68 % (1440327)Time elapsed: 0.211 s
% 11.74/2.68 % (1440327)Peak memory usage: 90 MB
% 11.74/2.68 % (1440327)Instructions burned: 248 (million)
% 11.74/2.68 % Exception at run slice level
% 11.74/2.68 User error: GNN currently only supports monomorphic FOL.
% 11.74/2.68 % (1440319)Instruction limit reached!
% 11.74/2.68 % (1440319)------------------------------
% 11.74/2.68 % (1440319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.68 % (1440319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.68 % (1440319)CaDiCaL version: 2.1.3
% 11.74/2.68 % (1440319)Termination reason: Instruction limit
% 11.74/2.68 % (1440319)Termination phase: Saturation
% 11.74/2.68 % (1440319)Time elapsed: 0.286 s
% 11.74/2.68 % (1440319)Peak memory usage: 90 MB
% 11.74/2.68 % (1440319)Instructions burned: 325 (million)
% 11.74/2.68 % (1440361)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=661983721:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 11.74/2.68 % (1440363)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1236526362:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 11.74/2.68 % (1440363)Instruction limit reached!
% 11.74/2.68 % (1440363)------------------------------
% 11.74/2.68 % (1440363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.68 % (1440363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.68 % (1440363)CaDiCaL version: 2.1.3
% 11.74/2.68 % (1440363)Termination reason: Instruction limit
% 11.74/2.68 % (1440363)Termination phase: Saturation
% 11.74/2.68 % (1440363)Time elapsed: 0.056 s
% 11.74/2.68 % (1440363)Peak memory usage: 89 MB
% 11.74/2.68 % (1440363)Instructions burned: 114 (million)
% 11.74/2.68 % (1440367)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1906876937:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 15.55/3.06 % (1440365)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1787564530:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 15.55/3.06 % (1440372)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3444313798:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 15.55/3.06 % (1440370)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1604797856:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 15.55/3.06 % (1440369)lrs+10_1_sil=8000:sp=occurrence:random_seed=2316507574:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 15.55/3.06 % (1440370)Refutation not found, incomplete strategy
% 15.55/3.06 % (1440370)------------------------------
% 15.55/3.06 % (1440370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.55/3.06 % (1440370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.55/3.06 % (1440370)CaDiCaL version: 2.1.3
% 15.55/3.06 % (1440370)Termination reason: Refutation not found, incomplete strategy
% 15.55/3.06 % (1440370)Time elapsed: 0.049 s
% 15.55/3.06 % (1440370)Peak memory usage: 89 MB
% 15.55/3.06 % (1440370)Instructions burned: 56 (million)
% 15.55/3.06 % (1440367)Instruction limit reached!
% 15.55/3.06 % (1440367)------------------------------
% 15.55/3.06 % (1440367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.55/3.06 % (1440367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.55/3.06 % (1440367)CaDiCaL version: 2.1.3
% 15.55/3.06 % (1440367)Termination reason: Instruction limit
% 15.55/3.06 % (1440367)Termination phase: Saturation
% 15.55/3.06 % (1440367)Time elapsed: 0.103 s
% 15.55/3.06 % (1440367)Peak memory usage: 89 MB
% 15.55/3.06 % (1440367)Instructions burned: 114 (million)
% 15.55/3.06 % (1440365)Instruction limit reached!
% 15.55/3.06 % (1440365)------------------------------
% 15.55/3.06 % (1440365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.55/3.06 % (1440365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.55/3.06 % (1440365)CaDiCaL version: 2.1.3
% 15.55/3.06 % (1440365)Termination reason: Instruction limit
% 15.55/3.06 % (1440365)Termination phase: Saturation
% 15.55/3.06 % (1440365)Time elapsed: 0.104 s
% 15.55/3.06 % (1440365)Peak memory usage: 88 MB
% 15.55/3.06 % (1440365)Instructions burned: 128 (million)
% 15.55/3.06 % (1440380)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3522879517:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 15.55/3.06 % (1440380)Instruction limit reached!
% 15.55/3.06 % (1440380)------------------------------
% 15.55/3.06 % (1440380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.55/3.06 % (1440380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.55/3.06 % (1440380)CaDiCaL version: 2.1.3
% 15.55/3.06 % (1440380)Termination reason: Instruction limit
% 15.55/3.06 % (1440380)Termination phase: Saturation
% 15.55/3.06 % (1440380)Time elapsed: 0.068 s
% 15.55/3.06 % (1440380)Peak memory usage: 90 MB
% 15.55/3.06 % (1440380)Instructions burned: 137 (million)
% 15.55/3.06 % (1440386)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3598789547:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 15.55/3.06 % (1440370)------------------------------
% 15.55/3.06 % (1440370)------------------------------
% 15.55/3.06 % (1440387)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1056153883:st=3:i=13193:sd=3:ss=axioms_2989 on theBenchmark for (2989ds/13193Mi)
% 15.55/3.06 % Exception at run slice level
% 15.55/3.06 User error: GNN currently only supports monomorphic FOL.
% 15.55/3.06 % (1440392)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3246188963:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/125Mi)
% 15.55/3.06 % (1440392)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 15.55/3.06 % Exception at run slice level
% 15.55/3.06 User error: GNN currently only supports monomorphic FOL.
% 15.55/3.06 % (1440392)Instruction limit reached!
% 15.55/3.06 % (1440392)------------------------------
% 15.55/3.06 % (1440392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.30/4.12 % (1440392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.30/4.12 % (1440392)CaDiCaL version: 2.1.3
% 21.30/4.12 % (1440392)Termination reason: Instruction limit
% 21.30/4.12 % (1440392)Termination phase: Saturation
% 21.30/4.12 % (1440392)Time elapsed: 0.036 s
% 21.30/4.12 % (1440392)Peak memory usage: 90 MB
% 21.30/4.12 % (1440392)Instructions burned: 129 (million)
% 21.30/4.12 % (1440398)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3376976332:i=134:gtgl=5:slsql=off:gtg=exists_sym_2986 on theBenchmark for (2986ds/134Mi)
% 21.30/4.12 % Exception at run slice level
% 21.30/4.12 User error: Immediate (shared) subterms of term/literal aa(X1,product_prod(X0,X1),sF119(X0,X1,X7),X6) = sF120(X1,X0,X7,X6) have different types/not well-typed!
% 21.30/4.12 % (1440401)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1302399756:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/141Mi)
% 21.30/4.12 % (1440401)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 21.30/4.12 % (1440405)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1123522279:i=6060:aac=none:ins=25_2985 on theBenchmark for (2985ds/6060Mi)
% 21.30/4.12 % (1440404)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3459097352:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/431Mi)
% 21.30/4.12 % (1440369)Instruction limit reached!
% 21.30/4.12 % (1440369)------------------------------
% 21.30/4.12 % (1440369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.30/4.12 % (1440369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.30/4.12 % (1440369)CaDiCaL version: 2.1.3
% 21.30/4.12 % (1440369)Termination reason: Instruction limit
% 21.30/4.12 % (1440369)Termination phase: Saturation
% 21.30/4.12 % (1440369)Time elapsed: 0.656 s
% 21.30/4.12 % (1440369)Peak memory usage: 93 MB
% 21.30/4.12 % (1440369)Instructions burned: 908 (million)
% 21.30/4.12 % (1440401)Instruction limit reached!
% 21.30/4.12 % (1440401)------------------------------
% 21.30/4.12 % (1440401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.30/4.12 % (1440401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.30/4.12 % (1440401)CaDiCaL version: 2.1.3
% 21.30/4.12 % (1440401)Termination reason: Instruction limit
% 21.30/4.12 % (1440401)Termination phase: Saturation
% 21.30/4.12 % (1440401)Time elapsed: 0.066 s
% 21.30/4.12 % (1440401)Peak memory usage: 89 MB
% 21.30/4.12 % (1440401)Instructions burned: 141 (million)
% 21.30/4.12 % (1440386)Instruction limit reached!
% 21.30/4.12 % (1440386)------------------------------
% 21.30/4.12 % (1440386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.30/4.12 % (1440386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.30/4.12 % (1440386)CaDiCaL version: 2.1.3
% 21.30/4.12 % (1440386)Termination reason: Instruction limit
% 21.30/4.12 % (1440386)Termination phase: Saturation
% 21.30/4.12 % (1440386)Time elapsed: 0.335 s
% 21.30/4.12 % (1440386)Peak memory usage: 90 MB
% 21.30/4.12 % (1440386)Instructions burned: 594 (million)
% 21.30/4.12 % (1440409)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1647234777:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2984 on theBenchmark for (2984ds/150Mi)
% 21.30/4.12 % (1440409)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 21.30/4.12 % Exception at run slice level
% 21.30/4.12 User error: GNN currently only supports monomorphic FOL.
% 21.30/4.12 % (1440440)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3485057327:i=14155:bd=all_2983 on theBenchmark for (2983ds/14155Mi)
% 21.30/4.12 % (1440447)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4058734411:i=667:av=off:fsr=off_2983 on theBenchmark for (2983ds/667Mi)
% 21.30/4.12 % Exception at run slice level
% 21.30/4.12 User error: GNN currently only supports monomorphic FOL.
% 21.30/4.12 % (1440409)Instruction limit reached!
% 21.30/4.12 % (1440409)------------------------------
% 21.30/4.12 % (1440409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.30/4.12 % (1440409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.23/4.18 % (1440409)CaDiCaL version: 2.1.3
% 23.23/4.18 % (1440409)Termination reason: Instruction limit
% 23.23/4.18 % (1440409)Termination phase: Saturation
% 23.23/4.18 % (1440409)Time elapsed: 0.082 s
% 23.23/4.18 % (1440409)Peak memory usage: 90 MB
% 23.23/4.18 % (1440409)Instructions burned: 150 (million)
% 23.23/4.18 % (1440456)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=4088205603:s2a=on:i=185:s2at=1.8:fdi=4_2983 on theBenchmark for (2983ds/185Mi)
% 23.23/4.18 % (1440447)Refutation not found, incomplete strategy
% 23.23/4.18 % (1440447)------------------------------
% 23.23/4.18 % (1440447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.23/4.18 % (1440447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.23/4.18 % (1440447)CaDiCaL version: 2.1.3
% 23.23/4.18 % (1440447)Termination reason: Refutation not found, incomplete strategy
% 23.23/4.18 % (1440447)Time elapsed: 0.035 s
% 23.23/4.18 % (1440447)Peak memory usage: 89 MB
% 23.23/4.18 % (1440447)Instructions burned: 75 (million)
% 23.23/4.18 % (1440404)Instruction limit reached!
% 23.23/4.18 % (1440404)------------------------------
% 23.23/4.18 % (1440404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.23/4.18 % (1440404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.23/4.18 % (1440404)CaDiCaL version: 2.1.3
% 23.23/4.18 % (1440404)Termination reason: Instruction limit
% 23.23/4.18 % (1440404)Termination phase: Saturation
% 23.23/4.18 % (1440404)Time elapsed: 0.243 s
% 23.23/4.18 % (1440404)Peak memory usage: 91 MB
% 23.23/4.18 % (1440404)Instructions burned: 432 (million)
% 23.23/4.18 % (1440482)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2362817419:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2982 on theBenchmark for (2982ds/193Mi)
% 23.23/4.18 % (1440492)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=612486513:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2981 on theBenchmark for (2981ds/4850Mi)
% 23.23/4.18 % (1440456)Instruction limit reached!
% 23.23/4.18 % (1440456)------------------------------
% 23.23/4.18 % (1440456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.23/4.18 % (1440456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.23/4.18 % (1440456)CaDiCaL version: 2.1.3
% 23.23/4.18 % (1440456)Termination reason: Instruction limit
% 23.23/4.18 % (1440456)Termination phase: Saturation
% 23.23/4.18 % (1440456)Time elapsed: 0.098 s
% 23.23/4.18 % (1440456)Peak memory usage: 90 MB
% 23.23/4.18 % (1440456)Instructions burned: 187 (million)
% 23.23/4.18 % (1440494)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2291490254:i=12111:sd=1:ss=included_2981 on theBenchmark for (2981ds/12111Mi)
% 23.23/4.18 % (1440500)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1105479812:i=319:kws=precedence:fsr=off_2981 on theBenchmark for (2981ds/319Mi)
% 23.23/4.18 % (1440482)Instruction limit reached!
% 23.23/4.18 % (1440482)------------------------------
% 23.23/4.18 % (1440482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.23/4.18 % (1440482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.23/4.18 % (1440482)CaDiCaL version: 2.1.3
% 23.23/4.18 % (1440482)Termination reason: Instruction limit
% 23.23/4.18 % (1440482)Termination phase: Saturation
% 23.23/4.18 % (1440482)Time elapsed: 0.108 s
% 23.23/4.18 % (1440482)Peak memory usage: 90 MB
% 23.23/4.18 % (1440482)Instructions burned: 194 (million)
% 23.23/4.18 % (1440447)------------------------------
% 23.23/4.18 % (1440447)------------------------------
% 23.23/4.18 % (1440520)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3379921229:i=2064:ep=RST_2980 on theBenchmark for (2980ds/2064Mi)
% 23.23/4.18 % (1440532)dis-1011_128_sil=32000:random_seed=1976341134:i=3706:ep=RST:av=off_2979 on theBenchmark for (2979ds/3706Mi)
% 23.23/4.18 % Exception at run slice level
% 23.23/4.18 User error: GNN currently only supports monomorphic FOL.
% 23.23/4.18 % (1440500)Instruction limit reached!
% 23.23/4.18 % (1440500)------------------------------
% 23.23/4.18 % (1440500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.23/4.18 % (1440500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.23/4.18 % (1440500)CaDiCaL version: 2.1.3
% 23.23/4.18 % (1440500)Termination reason: Instruction limit
% 23.23/4.18 % (1440500)Termination phase: Saturation
% 23.23/4.18 % (1440500)Time elapsed: 0.197 s
% 23.23/4.18 % (1440500)Peak memory usage: 92 MB
% 23.23/4.18 % (1440500)Instructions burned: 319 (million)
% 23.23/4.18 % (1440533)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1112473192:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2979 on theBenchmark for (2979ds/757Mi)
% 23.23/4.18 % (1440562)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=4151342243:i=13913:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/13913Mi)
% 23.23/4.18 % Exception at run slice level
% 23.23/4.18 User error: GNN currently only supports monomorphic FOL.
% 23.23/4.18 % (1440573)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=501147483:i=9925:aac=none_2978 on theBenchmark for (2978ds/9925Mi)
% 23.23/4.18 % (1440587)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=3354980939:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2976 on theBenchmark for (2976ds/2479Mi)
% 23.23/4.18 % (1440533)Instruction limit reached!
% 23.23/4.18 % (1440533)------------------------------
% 23.23/4.18 % (1440533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.23/4.18 % (1440533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.23/4.18 % (1440533)CaDiCaL version: 2.1.3
% 23.23/4.18 % (1440533)Termination reason: Instruction limit
% 23.23/4.18 % (1440533)Termination phase: Saturation
% 23.23/4.18 % (1440533)Time elapsed: 0.354 s
% 23.23/4.18 % (1440533)Peak memory usage: 93 MB
% 23.23/4.18 % (1440533)Instructions burned: 758 (million)
% 23.23/4.18 % Exception at run slice level
% 23.23/4.18 User error: GNN currently only supports monomorphic FOL.
% 23.23/4.18 % Exception at run slice level
% 23.23/4.18 User error: GNN currently only supports monomorphic FOL.
% 23.23/4.18 % (1440590)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=809884334:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2974 on theBenchmark for (2974ds/440Mi)
% 23.23/4.18 % (1440590)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 23.23/4.18 % (1440591)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2736425170:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2973 on theBenchmark for (2973ds/11145Mi)
% 23.23/4.18 % (1440592)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=1275086789:cts=off:i=3034:av=off:er=known:fsd=on_2972 on theBenchmark for (2972ds/3034Mi)
% 23.23/4.18 % (1440590)Instruction limit reached!
% 23.23/4.18 % (1440590)------------------------------
% 23.23/4.18 % (1440590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.23/4.18 % (1440590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.23/4.18 % (1440590)CaDiCaL version: 2.1.3
% 23.23/4.18 % (1440590)Termination reason: Instruction limit
% 23.23/4.18 % (1440590)Termination phase: Saturation
% 23.23/4.18 % (1440590)Time elapsed: 0.271 s
% 23.23/4.18 % (1440590)Peak memory usage: 93 MB
% 23.23/4.18 % (1440590)Instructions burned: 441 (million)
% 23.23/4.18 % (1440587)First to succeed.
% 23.23/4.18 % (1440587)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1440188"
% 23.23/4.18 % (1440492)Instruction limit reached!
% 23.23/4.18 % (1440492)------------------------------
% 23.23/4.18 % (1440492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.23/4.18 % (1440492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.23/4.18 % (1440492)CaDiCaL version: 2.1.3
% 23.23/4.18 % (1440492)Termination reason: Instruction limit
% 23.23/4.18 % (1440492)Termination phase: Saturation
% 23.23/4.18 % (1440492)Time elapsed: 1.238 s
% 23.23/4.18 % (1440492)Peak memory usage: 97 MB
% 23.23/4.18 % (1440492)Instructions burned: 4852 (million)
% 23.23/4.18 % (1440596)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=4180622852:st=2:s2a=on:i=524:s2at=2:ss=axioms_2969 on theBenchmark for (2969ds/524Mi)
% 23.23/4.18 % Exception at run slice level
% 23.23/4.18 User error: GNN currently only supports monomorphic FOL.
% 23.23/4.18 % Exception at run slice level
% 23.23/4.18 User error: GNN currently only supports monomorphic FOL.
% 23.23/4.18 % (1440520)Instruction limit reached!
% 23.23/4.18 % (1440520)------------------------------
% 23.23/4.18 % (1440520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.23/4.18 % (1440520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.23/4.18 % (1440520)CaDiCaL version: 2.1.3
% 23.23/4.18 % (1440520)Termination reason: Instruction limit
% 23.23/4.18 % (1440520)Termination phase: Saturation
% 23.23/4.18 % (1440520)Time elapsed: 1.156 s
% 23.23/4.18 % (1440520)Peak memory usage: 97 MB
% 23.23/4.18 % (1440520)Instructions burned: 2065 (million)
% 23.23/4.18 % (1440587)Refutation found. Thanks to Tanya!
% 23.23/4.18 % SZS status Theorem for theBenchmark
% 23.23/4.18 % SZS output start Proof for theBenchmark
% See solution above
% 23.86/4.36 % (1440587)------------------------------
% 23.86/4.36 % (1440587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.86/4.36 % (1440587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.86/4.36 % (1440587)CaDiCaL version: 2.1.3
% 23.86/4.36 % (1440587)Termination reason: Refutation
% 23.86/4.36 % (1440587)Time elapsed: 0.557 s
% 23.86/4.36 % (1440587)Peak memory usage: 96 MB
% 23.86/4.36 % (1440587)Instructions burned: 1105 (million)
% 23.86/4.36 % (1440587)------------------------------
% 23.86/4.36 % (1440587)------------------------------
% 23.86/4.36 % (1440188)Success in time 3.303 s
% 23.86/4.36 % Vampire exiting
%------------------------------------------------------------------------------