%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP028^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 : Wed Sep 30 08:10:25 AM UTC 2026
% Result : Theorem 2.10s 0.59s
% Output : Refutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 9
% Syntax : Number of formulae : 170 ( 33 unt; 0 typ; 5 def)
% Number of atoms : 1159 ( 302 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 1456 ( 133 ~; 297 |; 12 &; 938 @)
% ( 5 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 16 ( 15 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 544 ( 540 usr; 21 con; 0-5 aty)
% ( 17 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 94 ( 0 sgn 45 !; 3 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr1710391469_a_a_e: $tType ).
thf(type_def_6,type,
produc169085773_a_a_e: $tType ).
thf(type_def_7,type,
set_se821189730_a_a_e: $tType ).
thf(type_def_8,type,
set_Pr2045688071_set_a: $tType ).
thf(type_def_9,type,
set_Pr204296108_a_a_e: $tType ).
thf(type_def_10,type,
set_Pr305929312_set_a: $tType ).
thf(type_def_11,type,
produc1691597095_set_a: $tType ).
thf(type_def_12,type,
produc715398134_a_a_e: $tType ).
thf(type_def_13,type,
produc1965228714_set_a: $tType ).
thf(type_def_14,type,
set_set_set_a: $tType ).
thf(type_def_15,type,
set_set_a: $tType ).
thf(type_def_16,type,
set_a_e: $tType ).
thf(type_def_17,type,
set_a: $tType ).
thf(type_def_18,type,
e: $tType ).
thf(type_def_19,type,
a: $tType ).
thf(type_def_20,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bNF_fs1024561536_e_a_e: ( set_a > ( a > e ) > $o ) > ( ( a > e ) > ( a > e ) > $o ) > produc715398134_a_a_e > produc715398134_a_a_e ).
thf(func_def_1,type,
bNF_pi1175744974_e_a_e: ( set_a > ( a > e ) > $o ) > ( ( a > e ) > ( a > e ) > $o ) > set_a > ( a > e ) > a > e ).
thf(func_def_2,type,
bNF_pi929741261_a_a_e: ( set_a > set_a > $o ) > ( set_a > ( a > e ) > $o ) > set_a > ( a > e ) > set_a ).
thf(func_def_3,type,
bNF_sn375433437_a_a_e: ( set_a > set_a > $o ) > ( set_a > ( a > e ) > $o ) > produc715398134_a_a_e > produc715398134_a_a_e ).
thf(func_def_4,type,
bNF_Gr2072183031_a_a_e: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > a > e ) > set_Pr204296108_a_a_e ).
thf(func_def_5,type,
bNF_Gr1872575811_a_a_e: set_set_a > ( set_a > set_a ) > ( set_a > a > e ) > set_Pr204296108_a_a_e ).
thf(func_def_6,type,
finite33065488_a_a_e: set_Pr204296108_a_a_e > set_se821189730_a_a_e ).
thf(func_def_7,type,
finite_Fpow_set_a: set_set_a > set_set_set_a ).
thf(func_def_8,type,
finite_Fpow_a: set_a > set_set_a ).
thf(func_def_9,type,
fun_in_rel_set_a_a_e: set_Pr204296108_a_a_e > set_a > ( a > e ) > $o ).
thf(func_def_10,type,
ord_less_eq_o_set_a: ( $o > set_a ) > ( $o > set_a ) > $o ).
thf(func_def_11,type,
ord_less_eq_set_a_e: set_a_e > set_a_e > $o ).
thf(func_def_12,type,
ord_le802356416_set_a: set_Pr305929312_set_a > set_Pr305929312_set_a > $o ).
thf(func_def_13,type,
ord_le700723212_a_a_e: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > $o ).
thf(func_def_14,type,
ord_le2103863998_set_a: set_set_set_a > set_set_set_a > $o ).
thf(func_def_15,type,
ord_le318720350_set_a: set_set_a > set_set_a > $o ).
thf(func_def_16,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_17,type,
order_Greatest_set_a: ( set_a > $o ) > set_a ).
thf(func_def_18,type,
top_to2000253225_a_e_o: produc715398134_a_a_e > $o ).
thf(func_def_19,type,
top_top_set_a_o: set_a > $o ).
thf(func_def_20,type,
top_to970499581_a_a_e: set_Pr1710391469_a_a_e ).
thf(func_def_21,type,
top_to1601855068_a_a_e: set_Pr204296108_a_a_e ).
thf(func_def_22,type,
top_to144004695_set_a: set_Pr2045688071_set_a ).
thf(func_def_23,type,
top_top_set_set_a: set_set_a ).
thf(func_def_24,type,
top_top_set_a: set_a ).
thf(func_def_25,type,
produc479206876_set_a: ( a > e ) > set_a > produc1965228714_set_a ).
thf(func_def_26,type,
produc1134456688_a_a_e: set_a > ( a > e ) > produc715398134_a_a_e ).
thf(func_def_27,type,
produc952037978_a_e_o: ( produc715398134_a_a_e > $o ) > set_a > ( a > e ) > $o ).
thf(func_def_28,type,
produc387505142_set_a: ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > set_a ) > produc169085773_a_a_e > produc1691597095_set_a ).
thf(func_def_29,type,
produc1443219402_e_a_e: ( set_a > set_a ) > ( ( a > e ) > a > e ) > produc715398134_a_a_e > produc715398134_a_a_e ).
thf(func_def_30,type,
produc1341862587_a_e_o: ( set_a > ( a > e ) > $o ) > produc715398134_a_a_e > $o ).
thf(func_def_31,type,
produc1096319049_a_a_e: ( set_a > ( a > e ) > set_Pr204296108_a_a_e ) > produc715398134_a_a_e > set_Pr204296108_a_a_e ).
thf(func_def_32,type,
produc1620938593_set_a: ( set_a > ( a > e ) > set_set_a ) > produc715398134_a_a_e > set_set_a ).
thf(func_def_33,type,
produc385678576_set_a: produc1965228714_set_a > a > e ).
thf(func_def_34,type,
produc1040928388_a_a_e: produc715398134_a_a_e > set_a ).
thf(func_def_35,type,
produc1809800494_set_a: produc1965228714_set_a > set_a ).
thf(func_def_36,type,
produc317566658_a_a_e: produc715398134_a_a_e > a > e ).
thf(func_def_37,type,
produc100464700_set_a: produc1965228714_set_a > produc715398134_a_a_e ).
thf(func_def_38,type,
produc755714512_a_a_e: produc715398134_a_a_e > produc1965228714_set_a ).
thf(func_def_39,type,
domain_set_a_a_e: set_Pr204296108_a_a_e > set_set_a ).
thf(func_def_40,type,
range_set_a_a_e: set_Pr204296108_a_a_e > set_a_e ).
thf(func_def_41,type,
converse_a_e_set_a: set_Pr305929312_set_a > set_Pr204296108_a_a_e ).
thf(func_def_42,type,
converse_set_a_a_e: set_Pr204296108_a_a_e > set_Pr305929312_set_a ).
thf(func_def_43,type,
relcom658603713_e_a_e: ( set_a > ( a > e ) > $o ) > ( ( a > e ) > ( a > e ) > $o ) > set_a > ( a > e ) > $o ).
thf(func_def_44,type,
relcom779348378_a_a_e: ( set_a > set_a > $o ) > ( set_a > ( a > e ) > $o ) > set_a > ( a > e ) > $o ).
thf(func_def_45,type,
collec1369693387_a_a_e: ( produc715398134_a_a_e > $o ) > set_Pr204296108_a_a_e ).
thf(func_def_46,type,
collect_set_a: ( set_a > $o ) > set_set_a ).
thf(func_def_47,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_48,type,
pow_Pr328302361_a_a_e: set_Pr204296108_a_a_e > set_se821189730_a_a_e ).
thf(func_def_49,type,
pow_set_a: set_set_a > set_set_set_a ).
thf(func_def_50,type,
pow_a: set_a > set_set_a ).
thf(func_def_51,type,
image_a_e_a: ( ( a > e ) > a ) > set_a_e > set_a ).
thf(func_def_52,type,
image_376979367_a_a_e: ( produc1965228714_set_a > produc715398134_a_a_e ) > set_Pr305929312_set_a > set_Pr204296108_a_a_e ).
thf(func_def_53,type,
image_2101504031_set_a: ( produc169085773_a_a_e > produc1691597095_set_a ) > set_Pr1710391469_a_a_e > set_Pr2045688071_set_a ).
thf(func_def_54,type,
image_1149879910_e_a_e: ( produc715398134_a_a_e > a > e ) > set_Pr204296108_a_a_e > set_a_e ).
thf(func_def_55,type,
image_1875450791_set_a: ( produc715398134_a_a_e > produc1965228714_set_a ) > set_Pr204296108_a_a_e > set_Pr305929312_set_a ).
thf(func_def_56,type,
image_625620211_a_a_e: ( produc715398134_a_a_e > produc715398134_a_a_e ) > set_Pr204296108_a_a_e > set_Pr204296108_a_a_e ).
thf(func_def_57,type,
image_64240033_set_a: ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > set_set_a ).
thf(func_def_58,type,
image_2116492353_a_e_a: ( produc715398134_a_a_e > a ) > set_Pr204296108_a_a_e > set_a ).
thf(func_def_59,type,
image_1441218763_set_a: ( set_Pr204296108_a_a_e > set_set_a ) > set_se821189730_a_a_e > set_set_set_a ).
thf(func_def_60,type,
image_1956910981_set_a: ( set_set_a > set_set_a ) > set_set_set_a > set_set_set_a ).
thf(func_def_61,type,
image_402591269_set_a: ( set_set_a > set_a ) > set_set_set_a > set_set_a ).
thf(func_def_62,type,
image_set_set_a_a: ( set_set_a > a ) > set_set_set_a > set_a ).
thf(func_def_63,type,
image_set_a_a_e: ( set_a > a > e ) > set_set_a > set_a_e ).
thf(func_def_64,type,
image_210900495_a_a_e: ( set_a > produc715398134_a_a_e ) > set_set_a > set_Pr204296108_a_a_e ).
thf(func_def_65,type,
image_1930509541_set_a: ( set_a > set_set_a ) > set_set_a > set_set_set_a ).
thf(func_def_66,type,
image_set_a_set_a: ( set_a > set_a ) > set_set_a > set_set_a ).
thf(func_def_67,type,
image_set_a_a: ( set_a > a ) > set_set_a > set_a ).
thf(func_def_68,type,
image_a_a_e: ( a > a > e ) > set_a > set_a_e ).
thf(func_def_69,type,
image_a_set_set_a: ( a > set_set_a ) > set_a > set_set_set_a ).
thf(func_def_70,type,
image_a_set_a: ( a > set_a ) > set_a > set_set_a ).
thf(func_def_71,type,
image_a_a: ( a > a ) > set_a > set_a ).
thf(func_def_72,type,
member_a_e: ( a > e ) > set_a_e > $o ).
thf(func_def_73,type,
member360729153_set_a: produc1965228714_set_a > set_Pr305929312_set_a > $o ).
thf(func_def_74,type,
member1258382221_a_a_e: produc715398134_a_a_e > set_Pr204296108_a_a_e > $o ).
thf(func_def_75,type,
member1437121347_a_a_e: set_Pr204296108_a_a_e > set_se821189730_a_a_e > $o ).
thf(func_def_76,type,
member_set_set_a: set_set_a > set_set_set_a > $o ).
thf(func_def_77,type,
member_set_a: set_a > set_set_a > $o ).
thf(func_def_78,type,
member_a: a > set_a > $o ).
thf(func_def_79,type,
c: set_Pr204296108_a_a_e ).
thf(func_def_80,type,
a1: set_a ).
thf(func_def_81,type,
a2: set_a ).
thf(func_def_82,type,
a3: set_a ).
thf(func_def_83,type,
b1: a > e ).
thf(func_def_84,type,
b2: a > e ).
thf(func_def_85,type,
b3: a > e ).
thf(func_def_86,type,
thesis: $o ).
thf(func_def_90,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_91,type,
vIMP: $o > $o > $o ).
thf(func_def_92,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_93,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_94,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_95,type,
vAND: $o > $o > $o ).
thf(func_def_96,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_97,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_98,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_99,type,
sK0: set_a ).
thf(func_def_100,type,
sK1: set_a_e > set_a_e > a > e ).
thf(func_def_101,type,
sK2: set_Pr305929312_set_a > set_Pr305929312_set_a > produc1965228714_set_a ).
thf(func_def_102,type,
sK3: set_set_set_a > set_set_set_a > set_set_a ).
thf(func_def_103,type,
sK4: set_set_a > set_set_a > set_a ).
thf(func_def_104,type,
sK5: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_105,type,
sK6: set_a > set_a > a ).
thf(func_def_106,type,
sK7: set_a > ( set_a > a ) > set_set_a > set_a ).
thf(func_def_107,type,
sK8: set_set_a > ( set_a > set_a ) > set_set_a > set_a ).
thf(func_def_108,type,
sK9: set_a > ( produc715398134_a_a_e > a ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_109,type,
sK10: set_Pr204296108_a_a_e > ( set_a > produc715398134_a_a_e ) > set_set_a > set_a ).
thf(func_def_110,type,
sK11: set_set_a > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_111,type,
sK12: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > produc715398134_a_a_e ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_112,type,
sK13: set_a > ( a > a ) > set_a > a ).
thf(func_def_113,type,
sK14: set_set_a > ( a > set_a ) > set_a > a ).
thf(func_def_114,type,
sK15: set_a_e > ( a > a > e ) > set_a > a ).
thf(func_def_115,type,
sK16: set_a > ( ( a > e ) > a ) > set_a_e > a > e ).
thf(func_def_116,type,
sK17: set_a > ( a > a ) > set_a > set_a ).
thf(func_def_117,type,
sK18: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > set_set_a > set_Pr204296108_a_a_e ).
thf(func_def_118,type,
sK19: set_set_a > ( set_a > a ) > set_a > set_set_a ).
thf(func_def_119,type,
sK20: set_a > ( a > set_a ) > set_set_a > set_a ).
thf(func_def_120,type,
sK21: set_set_set_a > ( set_set_a > a ) > set_a > set_set_set_a ).
thf(func_def_121,type,
sK22: set_set_a > ( set_a > set_a ) > set_set_a > set_set_a ).
thf(func_def_122,type,
sK23: set_a > ( a > set_set_a ) > set_set_set_a > set_a ).
thf(func_def_123,type,
sK24: set_set_set_a > ( set_set_a > set_a ) > set_set_a > set_set_set_a ).
thf(func_def_124,type,
sK25: set_set_a > ( set_a > set_set_a ) > set_set_set_a > set_set_a ).
thf(func_def_125,type,
sK26: set_set_set_a > ( set_set_a > set_set_a ) > set_set_set_a > set_set_set_a ).
thf(func_def_126,type,
sK27: produc1965228714_set_a > a > e ).
thf(func_def_127,type,
sK28: produc1965228714_set_a > set_a ).
thf(func_def_128,type,
sK29: produc715398134_a_a_e > set_a ).
thf(func_def_129,type,
sK30: produc715398134_a_a_e > a > e ).
thf(func_def_130,type,
sK31: ( set_a > set_a ) > set_a ).
thf(func_def_131,type,
sK32: ( set_a > set_a ) > set_a ).
thf(func_def_132,type,
sK33: ( set_a > set_set_a ) > set_a ).
thf(func_def_133,type,
sK34: ( set_a > set_set_a ) > set_a ).
thf(func_def_134,type,
sK35: ( set_set_a > set_a ) > set_set_a ).
thf(func_def_135,type,
sK36: ( set_set_a > set_a ) > set_set_a ).
thf(func_def_136,type,
sK37: ( set_a > set_set_set_a ) > set_a ).
thf(func_def_137,type,
sK38: ( set_a > set_set_set_a ) > set_a ).
thf(func_def_138,type,
sK39: ( set_a > $o > set_a ) > set_a ).
thf(func_def_139,type,
sK40: ( set_a > $o > set_a ) > set_a ).
thf(func_def_140,type,
sK41: ( set_set_a > set_set_a ) > set_set_a ).
thf(func_def_141,type,
sK42: ( set_set_a > set_set_a ) > set_set_a ).
thf(func_def_142,type,
sK43: ( set_set_set_a > set_a ) > set_set_set_a ).
thf(func_def_143,type,
sK44: ( set_set_set_a > set_a ) > set_set_set_a ).
thf(func_def_144,type,
sK45: ( ( $o > set_a ) > set_a ) > $o > set_a ).
thf(func_def_145,type,
sK46: ( ( $o > set_a ) > set_a ) > $o > set_a ).
thf(func_def_146,type,
sK47: ( set_set_a > set_set_set_a ) > set_set_a ).
thf(func_def_147,type,
sK48: ( set_set_a > set_set_set_a ) > set_set_a ).
thf(func_def_148,type,
sK49: ( set_set_a > $o > set_a ) > set_set_a ).
thf(func_def_149,type,
sK50: ( set_set_a > $o > set_a ) > set_set_a ).
thf(func_def_150,type,
sK51: ( ( $o > set_a ) > set_Pr204296108_a_a_e ) > $o > set_a ).
thf(func_def_151,type,
sK52: ( ( $o > set_a ) > set_Pr204296108_a_a_e ) > $o > set_a ).
thf(func_def_152,type,
sK53: ( ( $o > set_a ) > set_set_a ) > $o > set_a ).
thf(func_def_153,type,
sK54: ( ( $o > set_a ) > set_set_a ) > $o > set_a ).
thf(func_def_154,type,
sK55: ( ( $o > set_a ) > set_set_set_a ) > $o > set_a ).
thf(func_def_155,type,
sK56: ( ( $o > set_a ) > set_set_set_a ) > $o > set_a ).
thf(func_def_156,type,
sK57: ( ( $o > set_a ) > $o > set_a ) > $o > set_a ).
thf(func_def_157,type,
sK58: ( ( $o > set_a ) > $o > set_a ) > $o > set_a ).
thf(func_def_158,type,
sK59: ( set_a > set_a ) > set_a ).
thf(func_def_159,type,
sK60: ( set_a > set_a ) > set_a ).
thf(func_def_160,type,
sK61: ( set_a > set_a ) > set_a ).
thf(func_def_161,type,
sK62: ( set_a > set_a ) > set_a ).
thf(func_def_162,type,
sK63: ( set_a > set_a ) > set_a ).
thf(func_def_163,type,
sK64: ( set_a > set_a ) > set_a ).
thf(func_def_164,type,
sK65: ( set_a > $o ) > set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > set_a ).
thf(func_def_165,type,
sK66: ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_166,type,
sK67: ( set_a > $o ) > set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > produc715398134_a_a_e ).
thf(func_def_167,type,
sK68: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_168,type,
sK69: set_a > ( set_a > $o ) > set_a ).
thf(func_def_169,type,
sK70: ( set_a > $o ) > ( set_a > $o ) > set_a ).
thf(func_def_170,type,
sK71: set_a > ( set_a > $o ) > set_a ).
thf(func_def_171,type,
sK72: ( produc715398134_a_a_e > $o ) > set_a ).
thf(func_def_172,type,
sK73: ( produc715398134_a_a_e > $o ) > a > e ).
thf(func_def_173,type,
sK74: produc715398134_a_a_e > set_a ).
thf(func_def_174,type,
sK75: produc715398134_a_a_e > a > e ).
thf(func_def_175,type,
sK76: ( produc715398134_a_a_e > $o ) > set_a ).
thf(func_def_176,type,
sK77: ( produc715398134_a_a_e > $o ) > a > e ).
thf(func_def_177,type,
sK78: set_set_a > set_set_a > set_a ).
thf(func_def_178,type,
sK79: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_179,type,
sK80: set_a > set_a > a ).
thf(func_def_180,type,
sK81: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > set_a > produc715398134_a_a_e ).
thf(func_def_181,type,
sK82: set_set_a > ( set_a > set_a ) > set_set_a > set_a ).
thf(func_def_182,type,
sK83: set_set_a > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_183,type,
sK84: set_Pr204296108_a_a_e > ( set_a > produc715398134_a_a_e ) > set_set_a > set_a ).
thf(func_def_184,type,
sK85: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > produc715398134_a_a_e ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_185,type,
sK86: set_set_a > set_set_a > set_a ).
thf(func_def_186,type,
sK87: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_187,type,
sK88: set_a > set_a > a ).
thf(func_def_188,type,
sK89: set_set_a > set_set_a > set_a ).
thf(func_def_189,type,
sK90: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_190,type,
sK91: set_a > set_a > a ).
thf(func_def_191,type,
sK92: ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_192,type,
sK93: ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_193,type,
sK94: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > set_a ).
thf(func_def_194,type,
sK95: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > a > e ).
thf(func_def_195,type,
sK96: set_Pr204296108_a_a_e > ( a > e ) > set_a ).
thf(func_def_196,type,
sK97: set_Pr204296108_a_a_e > ( a > e ) > set_a ).
thf(func_def_197,type,
sK98: ( ( a > e ) > $o ) > set_Pr204296108_a_a_e > set_a ).
thf(func_def_198,type,
sK99: ( ( a > e ) > $o ) > set_Pr204296108_a_a_e > a > e ).
thf(func_def_199,type,
sK100: set_Pr204296108_a_a_e > set_a > a > e ).
thf(func_def_200,type,
sK101: set_Pr204296108_a_a_e > set_a > a > e ).
thf(func_def_201,type,
sK102: ( set_a > $o ) > set_Pr204296108_a_a_e > set_a ).
thf(func_def_202,type,
sK103: ( set_a > $o ) > set_Pr204296108_a_a_e > a > e ).
thf(func_def_203,type,
sK104: ( ( a > e ) > set_a > $o ) > set_Pr204296108_a_a_e > set_a ).
thf(func_def_204,type,
sK105: ( ( a > e ) > set_a > $o ) > set_Pr204296108_a_a_e > a > e ).
thf(func_def_205,type,
sK106: ( set_a > ( a > e ) > $o ) > set_Pr305929312_set_a > a > e ).
thf(func_def_206,type,
sK107: ( set_a > ( a > e ) > $o ) > set_Pr305929312_set_a > set_a ).
thf(func_def_207,type,
sK108: set_Pr204296108_a_a_e > produc1965228714_set_a > set_a ).
thf(func_def_208,type,
sK109: set_Pr204296108_a_a_e > produc1965228714_set_a > a > e ).
thf(func_def_209,type,
sK110: set_Pr305929312_set_a > produc715398134_a_a_e > a > e ).
thf(func_def_210,type,
sK111: set_Pr305929312_set_a > produc715398134_a_a_e > set_a ).
thf(func_def_211,type,
sK112: ( set_a > produc715398134_a_a_e ) > ( produc715398134_a_a_e > set_a ) > set_a ).
thf(func_def_212,type,
sK113: set_a > ( produc715398134_a_a_e > set_a ) > produc715398134_a_a_e ).
thf(func_def_213,type,
sK114: set_a > ( produc715398134_a_a_e > set_a ) > produc715398134_a_a_e ).
thf(func_def_214,type,
sK115: set_set_a > set_a ).
thf(func_def_215,type,
sK116: set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_216,type,
sK117: set_a ).
thf(func_def_217,type,
sK118: produc715398134_a_a_e ).
thf(func_def_218,type,
sK119: set_Pr204296108_a_a_e > ( ( a > e ) > a > e ) > ( set_a > set_a ) > produc715398134_a_a_e > set_a ).
thf(func_def_219,type,
sK120: set_Pr204296108_a_a_e > ( ( a > e ) > a > e ) > ( set_a > set_a ) > produc715398134_a_a_e > a > e ).
thf(func_def_220,type,
sK121: ( ( a > e ) > set_a > $o ) > set_a ).
thf(func_def_221,type,
sK122: ( ( a > e ) > set_a > $o ) > a > e ).
thf(func_def_222,type,
sK123: ( set_a > ( a > e ) > $o ) > ( set_a > ( a > e ) > $o ) > set_a_e > set_set_a > set_a ).
thf(func_def_223,type,
sK124: ( set_a > ( a > e ) > $o ) > ( set_a > ( a > e ) > $o ) > set_a_e > set_set_a > a > e ).
thf(func_def_224,type,
sK125: produc715398134_a_a_e > ( set_a > ( a > e ) > set_set_a ) > set_a > set_a ).
thf(func_def_225,type,
sK126: produc715398134_a_a_e > ( set_a > ( a > e ) > set_set_a ) > set_a > a > e ).
thf(func_def_226,type,
sK127: produc715398134_a_a_e > ( set_a > ( a > e ) > set_Pr204296108_a_a_e ) > produc715398134_a_a_e > set_a ).
thf(func_def_227,type,
sK128: produc715398134_a_a_e > ( set_a > ( a > e ) > set_Pr204296108_a_a_e ) > produc715398134_a_a_e > a > e ).
thf(func_def_228,type,
vNOT: $o > $o ).
thf(func_def_229,type,
sK129: set_a > a ).
thf(func_def_230,type,
sK130: set_a > a ).
thf(func_def_231,type,
sK131: set_a > a ).
thf(func_def_232,type,
sK132: ( set_a > ( a > e ) > $o ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_233,type,
sK133: ( set_a > ( a > e ) > $o ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_234,type,
sK134: ( set_a > ( a > e ) > $o ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_235,type,
sK135: ( set_a > ( a > e ) > $o ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_236,type,
sK136: produc715398134_a_a_e > ( a > e ) > set_a ).
thf(func_def_237,type,
sK137: set_a > a ).
thf(func_def_238,type,
sK138: set_a > a ).
thf(func_def_239,type,
sK139: set_a > ( produc715398134_a_a_e > set_a ) > produc715398134_a_a_e ).
thf(func_def_240,type,
sK140: ( produc715398134_a_a_e > set_a ) > set_a ).
thf(func_def_241,type,
sK141: ( a > e ) > set_a > set_Pr305929312_set_a > set_a ).
thf(func_def_242,type,
sK142: ( a > e ) > set_a > set_Pr305929312_set_a > a > e ).
thf(func_def_243,type,
sK143: set_a > ( a > e ) > set_Pr204296108_a_a_e > a > e ).
thf(func_def_244,type,
sK144: set_a > ( a > e ) > set_Pr204296108_a_a_e > set_a ).
thf(func_def_245,type,
sK145: set_Pr204296108_a_a_e > set_a > a > e ).
thf(func_def_246,type,
sK146: set_Pr204296108_a_a_e > set_a > set_a ).
thf(func_def_247,type,
sK147: set_Pr204296108_a_a_e > set_a > a > e ).
thf(func_def_248,type,
sK148: set_Pr204296108_a_a_e > ( a > e ) > a > e ).
thf(func_def_249,type,
sK149: set_Pr204296108_a_a_e > ( a > e ) > set_a ).
thf(func_def_250,type,
sK150: set_Pr204296108_a_a_e > ( a > e ) > set_a ).
thf(func_def_251,type,
sK151: set_a > set_a > a ).
thf(func_def_252,type,
sK152: set_a > set_a > a ).
thf(func_def_253,type,
sK153: set_a > set_a > a ).
thf(func_def_254,type,
sK154: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > set_set_a > set_a ).
thf(func_def_255,type,
sK155: set_a > set_a > a ).
thf(func_def_256,type,
sK156: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_257,type,
sK157: set_set_a > set_set_a > set_a ).
thf(func_def_258,type,
sK158: set_a > set_a > a ).
thf(func_def_259,type,
sK159: set_a > set_a > a ).
thf(func_def_260,type,
sK160: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_261,type,
sK161: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_262,type,
sK162: set_set_a > set_set_a > set_a ).
thf(func_def_263,type,
sK163: set_set_a > set_set_a > set_a ).
thf(func_def_264,type,
sK164: set_a > set_a > a ).
thf(func_def_265,type,
sK165: set_a > set_a > a ).
thf(func_def_266,type,
sK166: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_267,type,
sK167: set_set_a > set_set_a > set_a ).
thf(func_def_268,type,
sK168: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > set_set_a > set_a ).
thf(func_def_269,type,
sK169: set_a > ( set_a > $o ) > a ).
thf(func_def_270,type,
sK170: set_a > ( set_a > $o ) > a ).
thf(func_def_271,type,
sK171: set_a > ( set_a > $o ) > a ).
thf(func_def_272,type,
sK172: set_a > ( set_a > $o ) > a ).
thf(func_def_273,type,
sK173: set_a > ( a > a ) > ( set_a > $o ) > set_a ).
thf(func_def_274,type,
sK174: set_a > set_a > a ).
thf(func_def_275,type,
sK175: set_a > set_a > a ).
thf(func_def_276,type,
sK176: set_a > ( a > a ) > ( set_a > $o ) > set_a ).
thf(func_def_277,type,
sK177: set_a > set_a > ( a > a ) > a ).
thf(func_def_278,type,
sK178: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > ( set_set_a > $o ) > set_set_a ).
thf(func_def_279,type,
sK179: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_280,type,
sK180: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_281,type,
sK181: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > ( set_set_a > $o ) > set_Pr204296108_a_a_e ).
thf(func_def_282,type,
sK182: set_set_a > set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > set_a ).
thf(func_def_283,type,
sK183: produc715398134_a_a_e > set_a > a > e ).
thf(func_def_284,type,
sK184: set_a > set_a > a ).
thf(func_def_285,type,
sK185: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_286,type,
sK186: set_set_a > set_set_a > set_a ).
thf(func_def_287,type,
sK187: set_a > set_a > a ).
thf(func_def_288,type,
sK188: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_289,type,
sK189: set_set_a > set_set_a > set_a ).
thf(func_def_290,type,
sK190: set_a > set_a > a ).
thf(func_def_291,type,
sK191: set_a > set_a > a ).
thf(func_def_292,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_293,type,
sK192: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_294,type,
sK193: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_295,type,
sK194: ( produc715398134_a_a_e > set_a ) > set_a > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_296,type,
sK195: set_a > set_a > a ).
thf(func_def_297,type,
sK196: ( set_a > set_a ) > set_a > set_a > a ).
thf(func_def_298,type,
sK197: ( set_a > set_a ) > a ).
thf(func_def_299,type,
sK198: set_a > set_a > a ).
thf(func_def_300,type,
sK199: ( set_a > set_a ) > set_a > set_a > a ).
thf(func_def_301,type,
sK200: set_a > set_a > ( set_a > set_a ) > a ).
thf(func_def_302,type,
sK201: set_a > set_a > a ).
thf(func_def_303,type,
sK202: ( set_a > set_a ) > a ).
thf(func_def_304,type,
sK203: set_a > set_a > ( set_a > set_a ) > a ).
thf(func_def_305,type,
sK204: set_a > set_a > a ).
thf(func_def_306,type,
sK205: set_a > set_a > a ).
thf(func_def_307,type,
sK206: ( set_a > set_a ) > a ).
thf(func_def_308,type,
sK207: set_a > set_a > a ).
thf(func_def_309,type,
sK208: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_310,type,
sK209: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_311,type,
sK210: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_312,type,
sK211: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_313,type,
sK212: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_314,type,
sK213: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_315,type,
sK214: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_316,type,
sK215: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_317,type,
sK216: ( ( $o > set_a ) > $o > set_a ) > a ).
thf(func_def_318,type,
sK217: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_319,type,
sK218: ( ( $o > set_a ) > $o > set_a ) > a ).
thf(func_def_320,type,
sK219: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_321,type,
sK220: ( ( $o > set_a ) > $o > set_a ) > a ).
thf(func_def_322,type,
sK221: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_323,type,
sK222: ( ( $o > set_a ) > $o > set_a ) > a ).
thf(func_def_324,type,
sK223: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_325,type,
sK224: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_326,type,
sK225: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_327,type,
sK226: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_328,type,
sK227: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_329,type,
sK228: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_330,type,
sK229: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_331,type,
sK230: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_332,type,
sK231: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_333,type,
sK232: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_334,type,
sK233: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_335,type,
sK234: ( ( $o > set_a ) > set_set_a ) > set_a ).
thf(func_def_336,type,
sK235: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_337,type,
sK236: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_338,type,
sK237: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_339,type,
sK238: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_340,type,
sK239: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_341,type,
sK240: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_342,type,
sK241: ( ( $o > set_a ) > set_Pr204296108_a_a_e ) > produc715398134_a_a_e ).
thf(func_def_343,type,
sK242: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_344,type,
sK243: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_345,type,
sK244: set_set_a > set_set_a > set_a ).
thf(func_def_346,type,
sK245: set_set_a > set_set_a > set_a ).
thf(func_def_347,type,
sK246: ( set_set_a > $o > set_a ) > a ).
thf(func_def_348,type,
sK247: set_set_a > set_set_a > set_a ).
thf(func_def_349,type,
sK248: ( set_set_a > $o > set_a ) > a ).
thf(func_def_350,type,
sK249: ( set_set_a > $o > set_a ) > a ).
thf(func_def_351,type,
sK250: set_set_a > set_set_a > set_a ).
thf(func_def_352,type,
sK251: ( set_set_a > $o > set_a ) > a ).
thf(func_def_353,type,
sK252: set_set_a > set_set_a > set_a ).
thf(func_def_354,type,
sK253: set_set_a > set_set_a > set_a ).
thf(func_def_355,type,
sK254: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_356,type,
sK255: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_357,type,
sK256: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_358,type,
sK257: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_359,type,
sK258: ( ( $o > set_a ) > set_a ) > a ).
thf(func_def_360,type,
sK259: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_361,type,
sK260: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_362,type,
sK261: ( set_set_set_a > set_a ) > a ).
thf(func_def_363,type,
sK262: set_set_a > set_set_a > set_a ).
thf(func_def_364,type,
sK263: ( set_set_a > set_set_a ) > set_a ).
thf(func_def_365,type,
sK264: set_set_a > set_set_a > set_a ).
thf(func_def_366,type,
sK265: set_a > set_a > a ).
thf(func_def_367,type,
sK266: set_a > set_a > a ).
thf(func_def_368,type,
sK267: ( set_a > $o > set_a ) > a ).
thf(func_def_369,type,
sK268: set_a > set_a > a ).
thf(func_def_370,type,
sK269: ( set_a > $o > set_a ) > a ).
thf(func_def_371,type,
sK270: ( set_a > $o > set_a ) > a ).
thf(func_def_372,type,
sK271: set_a > set_a > a ).
thf(func_def_373,type,
sK272: ( set_a > $o > set_a ) > a ).
thf(func_def_374,type,
sK273: set_a > set_a > a ).
thf(func_def_375,type,
sK274: set_a > set_a > a ).
thf(func_def_376,type,
sK275: set_set_a > set_set_a > set_a ).
thf(func_def_377,type,
sK276: ( set_set_a > set_a ) > a ).
thf(func_def_378,type,
sK277: set_set_a > set_set_a > set_a ).
thf(func_def_379,type,
sK278: set_a > set_a > a ).
thf(func_def_380,type,
sK279: ( set_a > set_set_a ) > set_a ).
thf(func_def_381,type,
sK280: set_a > set_a > a ).
thf(func_def_382,type,
sK281: set_a > set_a > a ).
thf(func_def_383,type,
sK282: ( set_a > set_a ) > a ).
thf(func_def_384,type,
sK283: set_a > set_a > a ).
thf(func_def_385,type,
sK284: set_a > set_a > a ).
thf(func_def_386,type,
sK285: set_a > set_a > a ).
thf(func_def_387,type,
sK286: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_388,type,
sK287: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_389,type,
sK288: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_390,type,
sK289: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_391,type,
sK290: set_set_a > set_set_a > set_a ).
thf(func_def_392,type,
sK291: set_set_a > set_set_a > set_a ).
thf(func_def_393,type,
sK292: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_394,type,
sK293: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_395,type,
sK294: set_a > set_a > a ).
thf(func_def_396,type,
sK295: set_a > set_a > a ).
thf(func_def_397,type,
sK296: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_398,type,
sK297: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_399,type,
sK298: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_400,type,
sK299: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_401,type,
sK300: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_402,type,
sK301: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_403,type,
sK302: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_404,type,
sK303: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_405,type,
sK304: set_set_a > set_set_a > set_a ).
thf(func_def_406,type,
sK305: set_set_a > set_set_a > set_a ).
thf(func_def_407,type,
sK306: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_408,type,
sK307: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_409,type,
sK308: set_a > set_a > a ).
thf(func_def_410,type,
sK309: set_a > set_a > a ).
thf(func_def_411,type,
sK310: set_a > set_a > a ).
thf(func_def_412,type,
sK311: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_413,type,
sK312: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_414,type,
sK313: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_415,type,
sK314: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_416,type,
sK315: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_417,type,
sK316: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_418,type,
sK317: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_419,type,
sK318: set_set_a > set_set_a > set_a ).
thf(func_def_420,type,
sK319: set_set_a > set_set_a > set_a ).
thf(func_def_421,type,
sK320: set_set_a > set_set_a > set_a ).
thf(func_def_422,type,
sK321: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_423,type,
sK322: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_424,type,
sK323: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_425,type,
sK324: set_a > set_a > a ).
thf(func_def_426,type,
sK325: set_a > set_a > a ).
thf(func_def_427,type,
sK326: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_428,type,
sK327: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_429,type,
sK328: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_430,type,
sK329: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_431,type,
sK330: set_set_a > set_set_a > set_a ).
thf(func_def_432,type,
sK331: set_set_a > set_set_a > set_a ).
thf(func_def_433,type,
sK332: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_434,type,
sK333: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_435,type,
sK334: set_a > set_a > a ).
thf(func_def_436,type,
sK335: set_a > set_a > a ).
thf(func_def_437,type,
sK336: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_438,type,
sK337: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_439,type,
sK338: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_440,type,
sK339: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_441,type,
sK340: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_442,type,
sK341: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_443,type,
sK342: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_444,type,
sK343: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_445,type,
sK344: set_set_a > set_set_a > set_a ).
thf(func_def_446,type,
sK345: set_set_a > set_set_a > set_a ).
thf(func_def_447,type,
sK346: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_448,type,
sK347: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_449,type,
sK348: set_a > set_a > a ).
thf(func_def_450,type,
sK349: set_a > set_a > a ).
thf(func_def_451,type,
sK350: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_452,type,
sK351: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_453,type,
sK352: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_454,type,
sK353: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_455,type,
sK354: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_456,type,
sK355: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_457,type,
sK356: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_458,type,
sK357: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_459,type,
sK358: set_set_a > set_set_a > set_a ).
thf(func_def_460,type,
sK359: set_set_a > set_set_a > set_a ).
thf(func_def_461,type,
sK360: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_462,type,
sK361: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_463,type,
sK362: set_a > set_a > a ).
thf(func_def_464,type,
sK363: set_a > set_a > a ).
thf(func_def_465,type,
sK364: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_466,type,
sK365: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_467,type,
sK366: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_468,type,
sK367: ( $o > set_a ) > ( $o > set_a ) > a ).
thf(func_def_469,type,
sK368: set_set_a > set_set_a > set_a ).
thf(func_def_470,type,
sK369: set_set_a > set_set_a > set_a ).
thf(func_def_471,type,
sK370: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_472,type,
sK371: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_473,type,
sK372: ( set_set_a > set_set_a ) > set_set_set_a > set_set_set_a > set_set_set_a ).
thf(func_def_474,type,
sK373: ( set_a > set_set_a ) > set_set_set_a > set_set_a > set_set_a ).
thf(func_def_475,type,
sK374: set_set_a > set_set_a > set_a ).
thf(func_def_476,type,
sK375: ( set_set_a > set_a ) > set_set_a > set_set_set_a > set_set_set_a ).
thf(func_def_477,type,
sK376: ( set_set_a > set_a ) > set_set_a > set_set_set_a > set_a ).
thf(func_def_478,type,
sK377: ( set_set_a > set_a ) > set_set_a > set_set_set_a > set_a ).
thf(func_def_479,type,
sK378: ( a > set_set_a ) > set_set_set_a > set_a > set_a ).
thf(func_def_480,type,
sK379: set_a > set_a > a ).
thf(func_def_481,type,
sK380: ( set_a > set_a ) > set_set_a > set_set_a > set_set_a ).
thf(func_def_482,type,
sK381: ( set_a > set_a ) > set_set_a > set_set_a > set_a ).
thf(func_def_483,type,
sK382: set_set_a > set_set_a > set_a ).
thf(func_def_484,type,
sK383: ( set_set_a > a ) > set_a > set_set_set_a > set_set_set_a ).
thf(func_def_485,type,
sK384: ( set_set_a > a ) > set_a > set_set_set_a > a ).
thf(func_def_486,type,
sK385: ( set_set_a > a ) > set_a > set_set_set_a > a ).
thf(func_def_487,type,
sK386: ( a > set_a ) > set_set_a > set_a > set_a ).
thf(func_def_488,type,
sK387: ( a > set_a ) > set_set_a > set_a > set_a ).
thf(func_def_489,type,
sK388: set_a > set_a > a ).
thf(func_def_490,type,
sK389: ( set_a > a ) > set_a > set_set_a > set_set_a ).
thf(func_def_491,type,
sK390: ( set_a > a ) > set_a > set_set_a > a ).
thf(func_def_492,type,
sK391: set_set_a > set_set_a > set_a ).
thf(func_def_493,type,
sK392: ( produc715398134_a_a_e > set_a ) > set_set_a > set_Pr204296108_a_a_e > set_Pr204296108_a_a_e ).
thf(func_def_494,type,
sK393: ( produc715398134_a_a_e > set_a ) > set_set_a > set_Pr204296108_a_a_e > set_a ).
thf(func_def_495,type,
sK394: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_496,type,
sK395: ( a > a ) > set_a > set_a > set_a ).
thf(func_def_497,type,
sK396: ( a > a ) > set_a > set_a > a ).
thf(func_def_498,type,
sK397: set_a > set_a > a ).
thf(func_def_499,type,
sK398: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > set_set_a > produc715398134_a_a_e ).
thf(func_def_500,type,
sK399: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > set_set_a > set_a ).
thf(func_def_501,type,
sK400: set_se821189730_a_a_e > ( set_Pr204296108_a_a_e > set_set_a ) > set_set_set_a > set_Pr204296108_a_a_e ).
thf(func_def_502,type,
sK401: set_set_a > ( set_a > set_a ) > set_set_a > set_a ).
thf(func_def_503,type,
sK402: set_set_a > ( set_a > set_a ) > set_set_a > set_a ).
thf(func_def_504,type,
sK403: set_set_a > ( set_a > produc715398134_a_a_e ) > set_Pr204296108_a_a_e > set_a ).
thf(func_def_505,type,
sK404: set_set_a > ( set_a > produc715398134_a_a_e ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_506,type,
sK405: set_a > ( a > a ) > set_a > a ).
thf(func_def_507,type,
sK406: set_a > ( a > a ) > set_a > a ).
thf(func_def_508,type,
sK407: set_set_a > ( set_a > a ) > set_a > set_a ).
thf(func_def_509,type,
sK408: set_set_a > ( set_a > a ) > set_a > a ).
thf(func_def_510,type,
sK409: ( set_set_a > set_a ) > set_set_a > set_set_set_a > set_a ).
thf(func_def_511,type,
sK410: ( set_set_a > set_a ) > set_set_a > set_set_set_a > set_a ).
thf(func_def_512,type,
sK411: ( set_a > set_a ) > set_set_a > set_set_a > set_a ).
thf(func_def_513,type,
sK412: ( set_a > set_a ) > set_set_a > set_set_a > set_a ).
thf(func_def_514,type,
sK413: ( set_set_a > a ) > set_a > set_set_set_a > a ).
thf(func_def_515,type,
sK414: ( set_set_a > a ) > set_a > set_set_set_a > a ).
thf(func_def_516,type,
sK415: ( a > set_a ) > set_set_a > set_a > set_a ).
thf(func_def_517,type,
sK416: ( a > set_a ) > set_set_a > set_a > set_a ).
thf(func_def_518,type,
sK417: ( set_a > a ) > set_a > set_set_a > a ).
thf(func_def_519,type,
sK418: ( set_a > a ) > set_a > set_set_a > a ).
thf(func_def_520,type,
sK419: ( produc715398134_a_a_e > set_a ) > set_set_a > set_Pr204296108_a_a_e > set_a ).
thf(func_def_521,type,
sK420: ( produc715398134_a_a_e > set_a ) > set_set_a > set_Pr204296108_a_a_e > set_a ).
thf(func_def_522,type,
sK421: ( a > a ) > set_a > set_a > a ).
thf(func_def_523,type,
sK422: ( a > a ) > set_a > set_a > a ).
thf(func_def_524,type,
sK423: set_set_a > set_set_a > set_a ).
thf(func_def_525,type,
sK424: set_set_a > set_set_a > set_a ).
thf(func_def_526,type,
sK425: set_a > set_a > a ).
thf(func_def_527,type,
sK426: set_set_a > set_set_a > set_a ).
thf(func_def_528,type,
sK427: set_a > set_a > a ).
thf(func_def_529,type,
sK428: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_530,type,
sK429: set_a > set_a > a ).
thf(func_def_531,type,
sK430: set_a > set_a > a ).
thf(func_def_532,type,
sK431: set_a > set_a > a ).
thf(func_def_533,type,
sK432: set_set_a > set_set_a > set_a ).
thf(func_def_534,type,
sK433: set_set_a > set_set_a > set_a ).
thf(func_def_535,type,
sK434: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_536,type,
sK435: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(f2,axiom,
? [X0: set_a] :
( ( ord_less_eq_set_a @ a3 @ X0 )
& ( ord_less_eq_set_a @ a2 @ X0 )
& ( ord_less_eq_set_a @ a1 @ X0 )
& ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062_092_060exists_062a_092_060in_062fst_A_096_AC_O_Aa1_A_092_060subseteq_062_Aa_A_092_060and_062_Aa2_A_092_060subseteq_062_Aa_A_092_060and_062_Aa3_A_092_060subseteq_062_Aa_092_060close_062) ).
thf(f194,axiom,
( ord_less_eq_set_a
= ( ^ [X0: set_a,X1: set_a] :
! [X2: a] :
( ( member_a @ X2 @ X0 )
=> ( member_a @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_193_subset__iff) ).
thf(f353,axiom,
! [X0: set_a] :
( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
=> ( ( ord_less_eq_set_a @ a1 @ X0 )
=> ( ( ord_less_eq_set_a @ a2 @ X0 )
=> ( ( ord_less_eq_set_a @ a3 @ X0 )
=> thesis ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f354,conjecture,
thesis,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(f355,negated_conjecture,
~ thesis,
inference(negated_conjecture,[status(cth)],[f354]) ).
thf(f358,plain,
? [X0: set_a] :
( ( ord_less_eq_set_a @ a3 @ X0 )
& ( ord_less_eq_set_a @ a2 @ X0 )
& ( ord_less_eq_set_a @ a1 @ X0 )
& ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) ) ),
inference(rectify,[],[f2]) ).
thf(f359,plain,
? [X0: set_a] :
( ( ( ord_less_eq_set_a @ a3 @ X0 )
= $true )
& ( ( ord_less_eq_set_a @ a2 @ X0 )
= $true )
& ( ( ord_less_eq_set_a @ a1 @ X0 )
= $true )
& ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true ) ),
inference(fool_elimination,[],[f358]) ).
thf(f734,plain,
( ord_less_eq_set_a
= ( ^ [X0: set_a,X1: set_a] :
! [X2: a] :
( ( member_a @ X2 @ X0 )
=> ( member_a @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f194]) ).
thf(f735,plain,
( ord_less_eq_set_a
= ( ^ [Y0: set_a,Y1: set_a] :
( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y0 )
=> ( member_a @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f734]) ).
thf(f974,plain,
! [X0: set_a] :
( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
=> ( ( ord_less_eq_set_a @ a1 @ X0 )
=> ( ( ord_less_eq_set_a @ a2 @ X0 )
=> ( ( ord_less_eq_set_a @ a3 @ X0 )
=> thesis ) ) ) ),
inference(rectify,[],[f353]) ).
thf(f975,plain,
! [X0: set_a] :
( ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true )
=> ( ( ( ord_less_eq_set_a @ a1 @ X0 )
= $true )
=> ( ( ( ord_less_eq_set_a @ a2 @ X0 )
= $true )
=> ( ( ( ord_less_eq_set_a @ a3 @ X0 )
= $true )
=> ( thesis = $true ) ) ) ) ),
inference(fool_elimination,[],[f974]) ).
thf(f976,plain,
~ thesis,
inference(rectify,[],[f355]) ).
thf(f977,plain,
thesis != $true,
inference(fool_elimination,[],[f976]) ).
thf(f1007,plain,
thesis != $true,
inference(flattening,[],[f977]) ).
thf(f1362,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( ( ord_less_eq_set_a @ a3 @ X0 )
!= $true )
| ( ( ord_less_eq_set_a @ a2 @ X0 )
!= $true )
| ( ( ord_less_eq_set_a @ a1 @ X0 )
!= $true )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(ennf_transformation,[],[f975]) ).
thf(f1363,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( ( ord_less_eq_set_a @ a3 @ X0 )
!= $true )
| ( ( ord_less_eq_set_a @ a2 @ X0 )
!= $true )
| ( ( ord_less_eq_set_a @ a1 @ X0 )
!= $true )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(flattening,[],[f1362]) ).
thf(f1364,plain,
( ( $true
= ( ord_less_eq_set_a @ a3 @ sK0 ) )
& ( $true
= ( ord_less_eq_set_a @ a2 @ sK0 ) )
& ( $true
= ( ord_less_eq_set_a @ a1 @ sK0 ) )
& ( $true
= ( member_set_a @ sK0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f359]) ).
thf(f1462,plain,
( $true
= ( member_set_a @ sK0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) ) ),
inference(cnf_transformation,[],[f1364]) ).
thf(f1463,plain,
( $true
= ( ord_less_eq_set_a @ a1 @ sK0 ) ),
inference(cnf_transformation,[],[f1364]) ).
thf(f1464,plain,
( $true
= ( ord_less_eq_set_a @ a2 @ sK0 ) ),
inference(cnf_transformation,[],[f1364]) ).
thf(f1465,plain,
( $true
= ( ord_less_eq_set_a @ a3 @ sK0 ) ),
inference(cnf_transformation,[],[f1364]) ).
thf(f1704,plain,
( ord_less_eq_set_a
= ( ^ [Y0: set_a,Y1: set_a] :
( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y0 )
=> ( member_a @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f735]) ).
thf(f1907,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( ( ord_less_eq_set_a @ a3 @ X0 )
!= $true )
| ( ( ord_less_eq_set_a @ a2 @ X0 )
!= $true )
| ( ( ord_less_eq_set_a @ a1 @ X0 )
!= $true )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(cnf_transformation,[],[f1363]) ).
thf(f1908,plain,
thesis != $true,
inference(cnf_transformation,[],[f1007]) ).
thf(f1913,plain,
( $true
= ( ^ [Y0: set_a,Y1: set_a] :
( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y0 )
=> ( member_a @ Y2 @ Y1 ) ) )
@ a3
@ sK0 ) ),
inference(definition_unfolding,[],[f1465,f1704]) ).
thf(f1914,plain,
( $true
= ( ^ [Y0: set_a,Y1: set_a] :
( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y0 )
=> ( member_a @ Y2 @ Y1 ) ) )
@ a2
@ sK0 ) ),
inference(definition_unfolding,[],[f1464,f1704]) ).
thf(f1915,plain,
( $true
= ( ^ [Y0: set_a,Y1: set_a] :
( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y0 )
=> ( member_a @ Y2 @ Y1 ) ) )
@ a1
@ sK0 ) ),
inference(definition_unfolding,[],[f1463,f1704]) ).
thf(f2173,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $true
!= ( ^ [Y0: set_a,Y1: set_a] :
( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y0 )
=> ( member_a @ Y2 @ Y1 ) ) )
@ a3
@ X0 ) )
| ( $true
!= ( ^ [Y0: set_a,Y1: set_a] :
( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y0 )
=> ( member_a @ Y2 @ Y1 ) ) )
@ a2
@ X0 ) )
| ( $true
!= ( ^ [Y0: set_a,Y1: set_a] :
( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y0 )
=> ( member_a @ Y2 @ Y1 ) ) )
@ a1
@ X0 ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(definition_unfolding,[],[f1907,f1704,f1704,f1704]) ).
thf(f2268,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $true
!= ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ a3 )
=> ( member_a @ Y0 @ X0 ) ) ) )
| ( $true
!= ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ a2 )
=> ( member_a @ Y0 @ X0 ) ) ) )
| ( $true
!= ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ a1 )
=> ( member_a @ Y0 @ X0 ) ) ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(beta-eta_normalization,[],[f2173]) ).
thf(f2269,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $false
= ( ^ [Y0: a] :
( ( member_a @ Y0 @ a3 )
=> ( member_a @ Y0 @ X0 ) )
@ ( sK129 @ X0 ) ) )
| ( $true
!= ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ a2 )
=> ( member_a @ Y0 @ X0 ) ) ) )
| ( $true
!= ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ a1 )
=> ( member_a @ Y0 @ X0 ) ) ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(sigma_proxy_clausification,[],[f2268]) ).
thf(f2270,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $false
= ( ^ [Y0: a] :
( ( member_a @ Y0 @ a3 )
=> ( member_a @ Y0 @ X0 ) )
@ ( sK129 @ X0 ) ) )
| ( $false
= ( ^ [Y0: a] :
( ( member_a @ Y0 @ a2 )
=> ( member_a @ Y0 @ X0 ) )
@ ( sK130 @ X0 ) ) )
| ( $true
!= ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ a1 )
=> ( member_a @ Y0 @ X0 ) ) ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(sigma_proxy_clausification,[],[f2269]) ).
thf(f2271,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $false
= ( ^ [Y0: a] :
( ( member_a @ Y0 @ a3 )
=> ( member_a @ Y0 @ X0 ) )
@ ( sK129 @ X0 ) ) )
| ( $false
= ( ^ [Y0: a] :
( ( member_a @ Y0 @ a2 )
=> ( member_a @ Y0 @ X0 ) )
@ ( sK130 @ X0 ) ) )
| ( $false
= ( ^ [Y0: a] :
( ( member_a @ Y0 @ a1 )
=> ( member_a @ Y0 @ X0 ) )
@ ( sK131 @ X0 ) ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(sigma_proxy_clausification,[],[f2270]) ).
thf(f2272,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $false
= ( ( member_a @ ( sK129 @ X0 ) @ a3 )
=> ( member_a @ ( sK129 @ X0 ) @ X0 ) ) )
| ( $false
= ( ( member_a @ ( sK130 @ X0 ) @ a2 )
=> ( member_a @ ( sK130 @ X0 ) @ X0 ) ) )
| ( $false
= ( ( member_a @ ( sK131 @ X0 ) @ a1 )
=> ( member_a @ ( sK131 @ X0 ) @ X0 ) ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(beta-eta_normalization,[],[f2271]) ).
thf(f2273,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $false
= ( member_a @ ( sK129 @ X0 ) @ X0 ) )
| ( $false
= ( ( member_a @ ( sK130 @ X0 ) @ a2 )
=> ( member_a @ ( sK130 @ X0 ) @ X0 ) ) )
| ( $false
= ( ( member_a @ ( sK131 @ X0 ) @ a1 )
=> ( member_a @ ( sK131 @ X0 ) @ X0 ) ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(imp_proxy_clausification,[],[f2272]) ).
thf(f2274,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $true
= ( member_a @ ( sK129 @ X0 ) @ a3 ) )
| ( $false
= ( ( member_a @ ( sK130 @ X0 ) @ a2 )
=> ( member_a @ ( sK130 @ X0 ) @ X0 ) ) )
| ( $false
= ( ( member_a @ ( sK131 @ X0 ) @ a1 )
=> ( member_a @ ( sK131 @ X0 ) @ X0 ) ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(imp_proxy_clausification,[],[f2272]) ).
thf(f2275,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $true
= ( member_a @ ( sK129 @ X0 ) @ a3 ) )
| ( $false
= ( member_a @ ( sK130 @ X0 ) @ X0 ) )
| ( $false
= ( ( member_a @ ( sK131 @ X0 ) @ a1 )
=> ( member_a @ ( sK131 @ X0 ) @ X0 ) ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(imp_proxy_clausification,[],[f2274]) ).
thf(f2276,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $true
= ( member_a @ ( sK129 @ X0 ) @ a3 ) )
| ( $true
= ( member_a @ ( sK130 @ X0 ) @ a2 ) )
| ( $false
= ( ( member_a @ ( sK131 @ X0 ) @ a1 )
=> ( member_a @ ( sK131 @ X0 ) @ X0 ) ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(imp_proxy_clausification,[],[f2274]) ).
thf(f2277,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $true
= ( member_a @ ( sK129 @ X0 ) @ a3 ) )
| ( $true
= ( member_a @ ( sK130 @ X0 ) @ a2 ) )
| ( $false
= ( member_a @ ( sK131 @ X0 ) @ X0 ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(imp_proxy_clausification,[],[f2276]) ).
thf(f2278,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $true
= ( member_a @ ( sK129 @ X0 ) @ a3 ) )
| ( $true
= ( member_a @ ( sK130 @ X0 ) @ a2 ) )
| ( $true
= ( member_a @ ( sK131 @ X0 ) @ a1 ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(imp_proxy_clausification,[],[f2276]) ).
thf(f2279,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $true
= ( member_a @ ( sK129 @ X0 ) @ a3 ) )
| ( $false
= ( member_a @ ( sK130 @ X0 ) @ X0 ) )
| ( $false
= ( member_a @ ( sK131 @ X0 ) @ X0 ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(imp_proxy_clausification,[],[f2275]) ).
thf(f2280,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $true
= ( member_a @ ( sK129 @ X0 ) @ a3 ) )
| ( $false
= ( member_a @ ( sK130 @ X0 ) @ X0 ) )
| ( $true
= ( member_a @ ( sK131 @ X0 ) @ a1 ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(imp_proxy_clausification,[],[f2275]) ).
thf(f2281,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $false
= ( member_a @ ( sK129 @ X0 ) @ X0 ) )
| ( $false
= ( member_a @ ( sK130 @ X0 ) @ X0 ) )
| ( $false
= ( ( member_a @ ( sK131 @ X0 ) @ a1 )
=> ( member_a @ ( sK131 @ X0 ) @ X0 ) ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(imp_proxy_clausification,[],[f2273]) ).
thf(f2282,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $false
= ( member_a @ ( sK129 @ X0 ) @ X0 ) )
| ( $true
= ( member_a @ ( sK130 @ X0 ) @ a2 ) )
| ( $false
= ( ( member_a @ ( sK131 @ X0 ) @ a1 )
=> ( member_a @ ( sK131 @ X0 ) @ X0 ) ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(imp_proxy_clausification,[],[f2273]) ).
thf(f2283,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $false
= ( member_a @ ( sK129 @ X0 ) @ X0 ) )
| ( $true
= ( member_a @ ( sK130 @ X0 ) @ a2 ) )
| ( $false
= ( member_a @ ( sK131 @ X0 ) @ X0 ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(imp_proxy_clausification,[],[f2282]) ).
thf(f2284,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $false
= ( member_a @ ( sK129 @ X0 ) @ X0 ) )
| ( $true
= ( member_a @ ( sK130 @ X0 ) @ a2 ) )
| ( $true
= ( member_a @ ( sK131 @ X0 ) @ a1 ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(imp_proxy_clausification,[],[f2282]) ).
thf(f2285,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $false
= ( member_a @ ( sK129 @ X0 ) @ X0 ) )
| ( $false
= ( member_a @ ( sK130 @ X0 ) @ X0 ) )
| ( $false
= ( member_a @ ( sK131 @ X0 ) @ X0 ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(imp_proxy_clausification,[],[f2281]) ).
thf(f2286,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $false
= ( member_a @ ( sK129 @ X0 ) @ X0 ) )
| ( $false
= ( member_a @ ( sK130 @ X0 ) @ X0 ) )
| ( $true
= ( member_a @ ( sK131 @ X0 ) @ a1 ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(imp_proxy_clausification,[],[f2281]) ).
thf(f4928,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ a1 )
=> ( member_a @ Y0 @ sK0 ) ) ) ),
inference(beta-eta_normalization,[],[f1915]) ).
thf(f4929,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( member_a @ Y0 @ a1 )
=> ( member_a @ Y0 @ sK0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f4928]) ).
thf(f4930,plain,
! [X1: a] :
( $true
= ( ( member_a @ X1 @ a1 )
=> ( member_a @ X1 @ sK0 ) ) ),
inference(beta-eta_normalization,[],[f4929]) ).
thf(f4931,plain,
! [X1: a] :
( ( $true
= ( member_a @ X1 @ sK0 ) )
| ( $false
= ( member_a @ X1 @ a1 ) ) ),
inference(imp_proxy_clausification,[],[f4930]) ).
thf(f4932,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ a2 )
=> ( member_a @ Y0 @ sK0 ) ) ) ),
inference(beta-eta_normalization,[],[f1914]) ).
thf(f4933,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( member_a @ Y0 @ a2 )
=> ( member_a @ Y0 @ sK0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f4932]) ).
thf(f4934,plain,
! [X1: a] :
( $true
= ( ( member_a @ X1 @ a2 )
=> ( member_a @ X1 @ sK0 ) ) ),
inference(beta-eta_normalization,[],[f4933]) ).
thf(f4935,plain,
! [X1: a] :
( ( $true
= ( member_a @ X1 @ sK0 ) )
| ( $false
= ( member_a @ X1 @ a2 ) ) ),
inference(imp_proxy_clausification,[],[f4934]) ).
thf(f4936,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ a3 )
=> ( member_a @ Y0 @ sK0 ) ) ) ),
inference(beta-eta_normalization,[],[f1913]) ).
thf(f4937,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( member_a @ Y0 @ a3 )
=> ( member_a @ Y0 @ sK0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f4936]) ).
thf(f4938,plain,
! [X1: a] :
( $true
= ( ( member_a @ X1 @ a3 )
=> ( member_a @ X1 @ sK0 ) ) ),
inference(beta-eta_normalization,[],[f4937]) ).
thf(f4939,plain,
! [X1: a] :
( ( $true
= ( member_a @ X1 @ sK0 ) )
| ( $false
= ( member_a @ X1 @ a3 ) ) ),
inference(imp_proxy_clausification,[],[f4938]) ).
thf(f4946,plain,
! [X0: set_a] :
( ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true )
| ( $true
= ( member_a @ ( sK130 @ X0 ) @ a2 ) )
| ( $true
= ( member_a @ ( sK131 @ X0 ) @ a1 ) )
| ( $true
= ( member_a @ ( sK129 @ X0 ) @ a3 ) ) ),
inference(global_subsumption,[],[f2278,f1908]) ).
thf(f4947,plain,
! [X0: set_a] :
( ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true )
| ( $true
= ( member_a @ ( sK130 @ X0 ) @ a2 ) )
| ( $false
= ( member_a @ ( sK131 @ X0 ) @ X0 ) )
| ( $true
= ( member_a @ ( sK129 @ X0 ) @ a3 ) ) ),
inference(global_subsumption,[],[f2277,f1908]) ).
thf(f4948,plain,
! [X0: set_a] :
( ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true )
| ( $false
= ( member_a @ ( sK130 @ X0 ) @ X0 ) )
| ( $true
= ( member_a @ ( sK131 @ X0 ) @ a1 ) )
| ( $true
= ( member_a @ ( sK129 @ X0 ) @ a3 ) ) ),
inference(global_subsumption,[],[f2280,f1908]) ).
thf(f4949,plain,
! [X0: set_a] :
( ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true )
| ( $false
= ( member_a @ ( sK130 @ X0 ) @ X0 ) )
| ( $false
= ( member_a @ ( sK131 @ X0 ) @ X0 ) )
| ( $true
= ( member_a @ ( sK129 @ X0 ) @ a3 ) ) ),
inference(global_subsumption,[],[f2279,f1908]) ).
thf(f4950,plain,
! [X0: set_a] :
( ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true )
| ( $true
= ( member_a @ ( sK130 @ X0 ) @ a2 ) )
| ( $true
= ( member_a @ ( sK131 @ X0 ) @ a1 ) )
| ( $false
= ( member_a @ ( sK129 @ X0 ) @ X0 ) ) ),
inference(global_subsumption,[],[f2284,f1908]) ).
thf(f4951,plain,
! [X0: set_a] :
( ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true )
| ( $true
= ( member_a @ ( sK130 @ X0 ) @ a2 ) )
| ( $false
= ( member_a @ ( sK131 @ X0 ) @ X0 ) )
| ( $false
= ( member_a @ ( sK129 @ X0 ) @ X0 ) ) ),
inference(global_subsumption,[],[f2283,f1908]) ).
thf(f4952,plain,
! [X0: set_a] :
( ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true )
| ( $false
= ( member_a @ ( sK130 @ X0 ) @ X0 ) )
| ( $true
= ( member_a @ ( sK131 @ X0 ) @ a1 ) )
| ( $false
= ( member_a @ ( sK129 @ X0 ) @ X0 ) ) ),
inference(global_subsumption,[],[f2286,f1908]) ).
thf(f4953,plain,
! [X0: set_a] :
( ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true )
| ( $false
= ( member_a @ ( sK130 @ X0 ) @ X0 ) )
| ( $false
= ( member_a @ ( sK131 @ X0 ) @ X0 ) )
| ( $false
= ( member_a @ ( sK129 @ X0 ) @ X0 ) ) ),
inference(global_subsumption,[],[f2285,f1908]) ).
thf(f7110,plain,
( ( $true != $true )
| ( $true
= ( member_a @ ( sK130 @ sK0 ) @ a2 ) )
| ( $true
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| ( $false
= ( member_a @ ( sK129 @ sK0 ) @ sK0 ) ) ),
inference(constrained_superposition,[],[f4950,f1462]) ).
thf(f7112,plain,
( ( $true != $true )
| ( $false
= ( member_a @ ( sK130 @ sK0 ) @ sK0 ) )
| ( $false
= ( member_a @ ( sK131 @ sK0 ) @ sK0 ) )
| ( $false
= ( member_a @ ( sK129 @ sK0 ) @ sK0 ) ) ),
inference(constrained_superposition,[],[f4953,f1462]) ).
thf(f7113,plain,
( ( $true != $true )
| ( $true
= ( member_a @ ( sK130 @ sK0 ) @ a2 ) )
| ( $true
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| ( $true
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) ) ),
inference(constrained_superposition,[],[f4946,f1462]) ).
thf(f7114,plain,
( ( $true
= ( member_a @ ( sK130 @ sK0 ) @ a2 ) )
| ( $true
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| ( $true
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) ) ),
inference(trivial_inequality_removal,[],[f7113]) ).
thf(f7115,plain,
( ( $false
= ( member_a @ ( sK130 @ sK0 ) @ sK0 ) )
| ( $false
= ( member_a @ ( sK131 @ sK0 ) @ sK0 ) )
| ( $false
= ( member_a @ ( sK129 @ sK0 ) @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f7112]) ).
thf(f7117,plain,
( ( $true
= ( member_a @ ( sK130 @ sK0 ) @ a2 ) )
| ( $true
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| ( $false
= ( member_a @ ( sK129 @ sK0 ) @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f7110]) ).
thf(f7176,definition,
( spl436_45
<=> ( $false
= ( member_a @ ( sK129 @ sK0 ) @ sK0 ) ) ),
introduced(definition,[new_symbols(definition,[spl436_45])],[avatar_definition]) ).
thf(f7177,plain,
( ( $false
!= ( member_a @ ( sK129 @ sK0 ) @ sK0 ) )
| spl436_45 ),
inference(avatar_component_clause,[],[f7176]) ).
thf(f7178,plain,
( ( $false
= ( member_a @ ( sK129 @ sK0 ) @ sK0 ) )
| ~ spl436_45 ),
inference(avatar_component_clause,[],[f7176]) ).
thf(f7180,definition,
( spl436_46
<=> ( $true
= ( member_a @ ( sK130 @ sK0 ) @ a2 ) ) ),
introduced(definition,[new_symbols(definition,[spl436_46])],[avatar_definition]) ).
thf(f7181,plain,
( ( $true
!= ( member_a @ ( sK130 @ sK0 ) @ a2 ) )
| spl436_46 ),
inference(avatar_component_clause,[],[f7180]) ).
thf(f7182,plain,
( ( $true
= ( member_a @ ( sK130 @ sK0 ) @ a2 ) )
| ~ spl436_46 ),
inference(avatar_component_clause,[],[f7180]) ).
thf(f7419,plain,
( ( $true != $true )
| ( $false
= ( member_a @ ( sK130 @ sK0 ) @ sK0 ) )
| ( $true
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| ( $false
= ( member_a @ ( sK129 @ sK0 ) @ sK0 ) ) ),
inference(constrained_superposition,[],[f4952,f1462]) ).
thf(f7420,plain,
( ( $false
= ( member_a @ ( sK130 @ sK0 ) @ sK0 ) )
| ( $true
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| ( $false
= ( member_a @ ( sK129 @ sK0 ) @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f7419]) ).
thf(f7427,plain,
( ( $false
= ( member_a @ ( sK130 @ sK0 ) @ sK0 ) )
| ( $true
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| spl436_45 ),
inference(forward_subsumption_resolution,[],[f7420,f7177]) ).
thf(f7456,plain,
( ( $false
= ( member_a @ ( sK130 @ sK0 ) @ sK0 ) )
| ( $false
= ( member_a @ ( sK131 @ sK0 ) @ sK0 ) )
| spl436_45 ),
inference(forward_subsumption_resolution,[],[f7115,f7177]) ).
thf(f7524,definition,
( spl436_54
<=> ( $true
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) ) ),
introduced(definition,[new_symbols(definition,[spl436_54])],[avatar_definition]) ).
thf(f7525,plain,
( ( $true
!= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| spl436_54 ),
inference(avatar_component_clause,[],[f7524]) ).
thf(f7526,plain,
( ( $true
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| ~ spl436_54 ),
inference(avatar_component_clause,[],[f7524]) ).
thf(f7528,definition,
( spl436_55
<=> ( $false
= ( member_a @ ( sK130 @ sK0 ) @ sK0 ) ) ),
introduced(definition,[new_symbols(definition,[spl436_55])],[avatar_definition]) ).
thf(f7529,plain,
( ( $false
!= ( member_a @ ( sK130 @ sK0 ) @ sK0 ) )
| spl436_55 ),
inference(avatar_component_clause,[],[f7528]) ).
thf(f7530,plain,
( ( $false
= ( member_a @ ( sK130 @ sK0 ) @ sK0 ) )
| ~ spl436_55 ),
inference(avatar_component_clause,[],[f7528]) ).
thf(f7531,plain,
( spl436_54
| spl436_55
| spl436_45 ),
inference(avatar_split_clause,[],[f7427,f7176,f7528,f7524]) ).
thf(f7533,definition,
( spl436_56
<=> ( $false
= ( member_a @ ( sK131 @ sK0 ) @ sK0 ) ) ),
introduced(definition,[new_symbols(definition,[spl436_56])],[avatar_definition]) ).
thf(f7534,plain,
( ( $false
!= ( member_a @ ( sK131 @ sK0 ) @ sK0 ) )
| spl436_56 ),
inference(avatar_component_clause,[],[f7533]) ).
thf(f7535,plain,
( ( $false
= ( member_a @ ( sK131 @ sK0 ) @ sK0 ) )
| ~ spl436_56 ),
inference(avatar_component_clause,[],[f7533]) ).
thf(f7536,plain,
( spl436_56
| spl436_55
| spl436_45 ),
inference(avatar_split_clause,[],[f7456,f7176,f7528,f7533]) ).
thf(f7542,plain,
( ( $true = $false )
| ( $false
= ( member_a @ ( sK130 @ sK0 ) @ a2 ) )
| ~ spl436_55 ),
inference(constrained_superposition,[],[f4935,f7530]) ).
thf(f7545,plain,
( ( $false
= ( member_a @ ( sK130 @ sK0 ) @ a2 ) )
| ~ spl436_55 ),
inference(trivial_inequality_removal,[],[f7542]) ).
thf(f7554,plain,
( ( $true = $false )
| ~ spl436_46
| ~ spl436_55 ),
inference(constrained_superposition,[],[f7545,f7182]) ).
thf(f7555,plain,
( ( $true = $false )
| ~ spl436_46
| ~ spl436_55 ),
inference(constrained_superposition,[],[f7182,f7545]) ).
thf(f7556,plain,
( $false
| ~ spl436_46
| ~ spl436_55 ),
inference(trivial_inequality_removal,[],[f7555]) ).
thf(f7557,plain,
( ~ spl436_46
| ~ spl436_55 ),
inference(avatar_contradiction_clause,[],[f7556]) ).
thf(f7558,plain,
( $false
| ~ spl436_46
| ~ spl436_55 ),
inference(trivial_inequality_removal,[],[f7554]) ).
thf(f7559,plain,
( ~ spl436_46
| ~ spl436_55 ),
inference(avatar_contradiction_clause,[],[f7558]) ).
thf(f7573,plain,
( ( $true = $false )
| ( $false
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| ~ spl436_56 ),
inference(constrained_superposition,[],[f4931,f7535]) ).
thf(f7574,plain,
( ( $false
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| ~ spl436_56 ),
inference(trivial_inequality_removal,[],[f7573]) ).
thf(f7582,plain,
( ( $true = $false )
| ~ spl436_54
| ~ spl436_56 ),
inference(constrained_superposition,[],[f7574,f7526]) ).
thf(f7583,plain,
( ( $true = $false )
| ~ spl436_54
| ~ spl436_56 ),
inference(constrained_superposition,[],[f7526,f7574]) ).
thf(f7584,plain,
( $false
| ~ spl436_54
| ~ spl436_56 ),
inference(trivial_inequality_removal,[],[f7583]) ).
thf(f7585,plain,
( ~ spl436_54
| ~ spl436_56 ),
inference(avatar_contradiction_clause,[],[f7584]) ).
thf(f7586,plain,
( $false
| ~ spl436_54
| ~ spl436_56 ),
inference(trivial_inequality_removal,[],[f7582]) ).
thf(f7587,plain,
( ~ spl436_54
| ~ spl436_56 ),
inference(avatar_contradiction_clause,[],[f7586]) ).
thf(f7592,plain,
( ( $true
= ( member_a @ ( sK130 @ sK0 ) @ a2 ) )
| ( $true
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| spl436_45 ),
inference(forward_subsumption_resolution,[],[f7117,f7177]) ).
thf(f7597,plain,
( ( $true = $false )
| ( $true
= ( member_a @ ( sK130 @ sK0 ) @ a2 ) )
| spl436_45
| ~ spl436_56 ),
inference(forward_demodulation,[],[f7592,f7574]) ).
thf(f7598,plain,
( ( $true
= ( member_a @ ( sK130 @ sK0 ) @ a2 ) )
| spl436_45
| ~ spl436_56 ),
inference(trivial_inequality_removal,[],[f7597]) ).
thf(f7615,plain,
( $false
| spl436_45
| spl436_46
| ~ spl436_56 ),
inference(forward_subsumption_resolution,[],[f7598,f7181]) ).
thf(f7616,plain,
( spl436_45
| spl436_46
| ~ spl436_56 ),
inference(avatar_contradiction_clause,[],[f7615]) ).
thf(f7848,plain,
( ( $true != $true )
| ( $true
= ( member_a @ ( sK130 @ sK0 ) @ a2 ) )
| ( $false
= ( member_a @ ( sK131 @ sK0 ) @ sK0 ) )
| ( $false
= ( member_a @ ( sK129 @ sK0 ) @ sK0 ) ) ),
inference(constrained_superposition,[],[f4951,f1462]) ).
thf(f7849,plain,
( ( $true
= ( member_a @ ( sK130 @ sK0 ) @ a2 ) )
| ( $false
= ( member_a @ ( sK131 @ sK0 ) @ sK0 ) )
| ( $false
= ( member_a @ ( sK129 @ sK0 ) @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f7848]) ).
thf(f7856,plain,
( ( $false
= ( member_a @ ( sK131 @ sK0 ) @ sK0 ) )
| ( $false
= ( member_a @ ( sK129 @ sK0 ) @ sK0 ) )
| spl436_46 ),
inference(forward_subsumption_resolution,[],[f7849,f7181]) ).
thf(f7857,plain,
( ( $false
= ( member_a @ ( sK129 @ sK0 ) @ sK0 ) )
| spl436_46
| spl436_56 ),
inference(forward_subsumption_resolution,[],[f7856,f7534]) ).
thf(f7858,plain,
( $false
| spl436_45
| spl436_46
| spl436_56 ),
inference(forward_subsumption_resolution,[],[f7857,f7177]) ).
thf(f7859,plain,
( spl436_45
| spl436_46
| spl436_56 ),
inference(avatar_contradiction_clause,[],[f7858]) ).
thf(f7864,plain,
( ( $true = $false )
| ( $false
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) )
| ~ spl436_45 ),
inference(constrained_superposition,[],[f4939,f7178]) ).
thf(f7869,plain,
( ( $false
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) )
| ~ spl436_45 ),
inference(trivial_inequality_removal,[],[f7864]) ).
thf(f7901,plain,
( ( $true != $true )
| ( $true
= ( member_a @ ( sK130 @ sK0 ) @ a2 ) )
| ( $false
= ( member_a @ ( sK131 @ sK0 ) @ sK0 ) )
| ( $true
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) ) ),
inference(constrained_superposition,[],[f4947,f1462]) ).
thf(f7902,plain,
( ( $true
= ( member_a @ ( sK130 @ sK0 ) @ a2 ) )
| ( $false
= ( member_a @ ( sK131 @ sK0 ) @ sK0 ) )
| ( $true
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) ) ),
inference(trivial_inequality_removal,[],[f7901]) ).
thf(f7909,plain,
( ( $false
= ( member_a @ ( sK131 @ sK0 ) @ sK0 ) )
| ( $true
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) )
| spl436_46 ),
inference(forward_subsumption_resolution,[],[f7902,f7181]) ).
thf(f7910,plain,
( ( $true
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) )
| spl436_46
| spl436_56 ),
inference(forward_subsumption_resolution,[],[f7909,f7534]) ).
thf(f7911,plain,
( ( $true = $false )
| ~ spl436_45
| spl436_46
| spl436_56 ),
inference(forward_demodulation,[],[f7910,f7869]) ).
thf(f7912,plain,
( $false
| ~ spl436_45
| spl436_46
| spl436_56 ),
inference(trivial_inequality_removal,[],[f7911]) ).
thf(f7913,plain,
( ~ spl436_45
| spl436_46
| spl436_56 ),
inference(avatar_contradiction_clause,[],[f7912]) ).
thf(f7916,plain,
( ( $true
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| ( $true
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) )
| spl436_46 ),
inference(forward_subsumption_resolution,[],[f7114,f7181]) ).
thf(f7917,plain,
( ( $true = $false )
| ( $true
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| ~ spl436_45
| spl436_46 ),
inference(forward_demodulation,[],[f7916,f7869]) ).
thf(f7918,plain,
( ( $true
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| ~ spl436_45
| spl436_46 ),
inference(trivial_inequality_removal,[],[f7917]) ).
thf(f7939,plain,
( $false
| ~ spl436_45
| spl436_46
| spl436_54 ),
inference(forward_subsumption_resolution,[],[f7918,f7525]) ).
thf(f7940,plain,
( ~ spl436_45
| spl436_46
| spl436_54 ),
inference(avatar_contradiction_clause,[],[f7939]) ).
thf(f7964,plain,
( ( $true != $true )
| ( $false
= ( member_a @ ( sK130 @ sK0 ) @ sK0 ) )
| ( $true
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| ( $true
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) ) ),
inference(constrained_superposition,[],[f4948,f1462]) ).
thf(f7965,plain,
( ( $false
= ( member_a @ ( sK130 @ sK0 ) @ sK0 ) )
| ( $true
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| ( $true
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) ) ),
inference(trivial_inequality_removal,[],[f7964]) ).
thf(f7972,plain,
( ( $true
= ( member_a @ ( sK131 @ sK0 ) @ a1 ) )
| ( $true
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) )
| spl436_55 ),
inference(forward_subsumption_resolution,[],[f7965,f7529]) ).
thf(f7973,plain,
( ( $true
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) )
| spl436_54
| spl436_55 ),
inference(forward_subsumption_resolution,[],[f7972,f7525]) ).
thf(f7974,plain,
( ( $true = $false )
| ~ spl436_45
| spl436_54
| spl436_55 ),
inference(forward_demodulation,[],[f7973,f7869]) ).
thf(f7975,plain,
( $false
| ~ spl436_45
| spl436_54
| spl436_55 ),
inference(trivial_inequality_removal,[],[f7974]) ).
thf(f7976,plain,
( ~ spl436_45
| spl436_54
| spl436_55 ),
inference(avatar_contradiction_clause,[],[f7975]) ).
thf(f8046,plain,
( ( $true != $true )
| ( $false
= ( member_a @ ( sK130 @ sK0 ) @ sK0 ) )
| ( $false
= ( member_a @ ( sK131 @ sK0 ) @ sK0 ) )
| ( $true
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) ) ),
inference(constrained_superposition,[],[f4949,f1462]) ).
thf(f8047,plain,
( ( $false
= ( member_a @ ( sK130 @ sK0 ) @ sK0 ) )
| ( $false
= ( member_a @ ( sK131 @ sK0 ) @ sK0 ) )
| ( $true
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) ) ),
inference(trivial_inequality_removal,[],[f8046]) ).
thf(f8053,plain,
( ( $false
= ( member_a @ ( sK131 @ sK0 ) @ sK0 ) )
| ( $true
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) )
| spl436_55 ),
inference(forward_subsumption_resolution,[],[f8047,f7529]) ).
thf(f8056,plain,
( ( $true
= ( member_a @ ( sK129 @ sK0 ) @ a3 ) )
| spl436_55
| spl436_56 ),
inference(forward_subsumption_resolution,[],[f8053,f7534]) ).
thf(f8057,plain,
( ( $true = $false )
| ~ spl436_45
| spl436_55
| spl436_56 ),
inference(forward_demodulation,[],[f8056,f7869]) ).
thf(f8058,plain,
( $false
| ~ spl436_45
| spl436_55
| spl436_56 ),
inference(trivial_inequality_removal,[],[f8057]) ).
thf(f8059,plain,
( ~ spl436_45
| spl436_55
| spl436_56 ),
inference(avatar_contradiction_clause,[],[f8058]) ).
cnf(s2175,plain,
( spl436_45
| spl436_54
| spl436_55 ),
inference(sat_conversion,[],[f7531]) ).
cnf(s2179,plain,
( spl436_45
| spl436_55
| spl436_56 ),
inference(sat_conversion,[],[f7536]) ).
cnf(s2190,plain,
( ~ spl436_46
| ~ spl436_55 ),
inference(sat_conversion,[],[f7557]) ).
cnf(s2191,plain,
( ~ spl436_46
| ~ spl436_55 ),
inference(sat_conversion,[],[f7559]) ).
cnf(s2205,plain,
( ~ spl436_54
| ~ spl436_56 ),
inference(sat_conversion,[],[f7585]) ).
cnf(s2206,plain,
( ~ spl436_54
| ~ spl436_56 ),
inference(sat_conversion,[],[f7587]) ).
cnf(s2221,plain,
( spl436_45
| spl436_46
| ~ spl436_56 ),
inference(sat_conversion,[],[f7616]) ).
cnf(s2323,plain,
( spl436_45
| spl436_46
| spl436_56 ),
inference(sat_conversion,[],[f7859]) ).
cnf(s2354,plain,
( ~ spl436_45
| spl436_46
| spl436_56 ),
inference(sat_conversion,[],[f7913]) ).
cnf(s2369,plain,
( ~ spl436_45
| spl436_46
| spl436_54 ),
inference(sat_conversion,[],[f7940]) ).
cnf(s2382,plain,
( ~ spl436_45
| spl436_54
| spl436_55 ),
inference(sat_conversion,[],[f7976]) ).
cnf(s2416,plain,
( ~ spl436_45
| spl436_55
| spl436_56 ),
inference(sat_conversion,[],[f8059]) ).
cnf(s2419,plain,
( spl436_46
| spl436_45 ),
inference(rat,[],[s2221,s2323]) ).
cnf(s2420,plain,
( spl436_55
| spl436_45 ),
inference(rat,[],[s2205,s2175,s2179]) ).
cnf(s2421,plain,
spl436_45,
inference(rat,[],[s2420,s2191,s2419]) ).
cnf(s2422,plain,
spl436_54,
inference(rat,[],[s2190,s2382,s2369,s2421]) ).
cnf(s2423,plain,
~ spl436_56,
inference(rat,[],[s2206,s2422]) ).
cnf(s2424,plain,
spl436_46,
inference(rat,[],[s2354,s2421,s2423]) ).
cnf(s2425,plain,
spl436_55,
inference(rat,[],[s2416,s2421,s2423]) ).
cnf(s2426,plain,
$false,
inference(rat,[],[s2190,s2425,s2424]) ).
thf(f8060,plain,
$false,
inference(avatar_sat_refutation,[],[s2426]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP028^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n001.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 19:44:22 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 Running first-order model finding
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.10/0.59 % (1721211)Will run a generic schedule for satisfiability detection.
% 2.10/0.59 % (1721225)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4076175501:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.10/0.59 % (1721221)% WARNING: option uhcvi not known.
% 2.10/0.59 % (1721223)dis+10_1_sil=32000:sp=arity:random_seed=628336550:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.10/0.59 % (1721220)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=962030502_2999 on theBenchmark for (2999ds/0Mi)
% 2.10/0.59 % (1721221)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=774697976:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.10/0.59 % (1721224)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1164274114:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.10/0.59 % (1721222)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1010876097:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.10/0.59 % (1721226)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4057427773:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.10/0.59 % (1721221)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.10/0.59 % (1721224)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.10/0.59 % (1721225)Instruction limit reached!
% 2.10/0.59 % (1721225)------------------------------
% 2.10/0.59 % (1721225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.59 % (1721225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.59 % (1721225)CaDiCaL version: 2.1.3
% 2.10/0.59 % (1721225)Termination reason: Instruction limit
% 2.10/0.59 % (1721225)Termination phase: Saturation
% 2.10/0.59 % (1721225)Time elapsed: 0.030 s
% 2.10/0.59 % (1721225)Peak memory usage: 13 MB
% 2.10/0.59 % (1721225)Instructions burned: 131 (million)
% 2.10/0.59 % (1721234)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2989597997:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.10/0.59 % (1721223)Instruction limit reached!
% 2.10/0.59 % (1721223)------------------------------
% 2.10/0.59 % (1721223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.59 % (1721223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.59 % (1721223)CaDiCaL version: 2.1.3
% 2.10/0.59 % (1721223)Termination reason: Instruction limit
% 2.10/0.59 % (1721223)Termination phase: Property scanning
% 2.10/0.59 % (1721223)Time elapsed: 0.046 s
% 2.10/0.59 % (1721223)Peak memory usage: 11 MB
% 2.10/0.59 % (1721223)Instructions burned: 103 (million)
% 2.10/0.59 % (1721224)Instruction limit reached!
% 2.10/0.59 % (1721224)------------------------------
% 2.10/0.59 % (1721224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.59 % (1721224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.59 % (1721224)CaDiCaL version: 2.1.3
% 2.10/0.59 % (1721224)Termination reason: Instruction limit
% 2.10/0.59 % (1721224)Termination phase: Property scanning
% 2.10/0.59 % (1721224)Time elapsed: 0.049 s
% 2.10/0.59 % (1721224)Peak memory usage: 11 MB
% 2.10/0.59 % (1721224)Instructions burned: 117 (million)
% 2.10/0.59 % Exception at run slice level
% 2.10/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.10/0.59 % (1721221)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.10/0.59 % Exception at run slice level
% 2.10/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.10/0.59 % (1721226)Instruction limit reached!
% 2.10/0.59 % (1721226)------------------------------
% 2.10/0.59 % (1721226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.59 % (1721226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.59 % (1721226)CaDiCaL version: 2.1.3
% 2.10/0.59 % (1721226)Termination reason: Instruction limit
% 2.10/0.59 % (1721226)Termination phase: Saturation
% 2.10/0.59 % (1721226)Time elapsed: 0.066 s
% 2.10/0.59 % (1721226)Peak memory usage: 13 MB
% 2.10/0.59 % (1721226)Instructions burned: 159 (million)
% 2.10/0.59 % (1721236)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3194048915:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.10/0.59 % (1721237)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3098955238:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.10/0.59 % (1721238)ott-21_1_sil=16000:fs=off:random_seed=3097062956:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.10/0.59 % (1721239)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2782889742:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.10/0.59 % (1721241)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4248825628:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.10/0.59 % (1721237)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.10/0.59 % (1721236)Instruction limit reached!
% 2.10/0.59 % (1721236)------------------------------
% 2.10/0.59 % (1721236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.59 % (1721236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.59 % (1721236)CaDiCaL version: 2.1.3
% 2.10/0.59 % (1721236)Termination reason: Instruction limit
% 2.10/0.59 % (1721236)Termination phase: Saturation
% 2.10/0.59 % (1721236)Time elapsed: 0.055 s
% 2.10/0.59 % (1721236)Peak memory usage: 13 MB
% 2.10/0.59 % (1721236)Instructions burned: 132 (million)
% 2.10/0.59 % (1721237)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.10/0.59 % Exception at run slice level
% 2.10/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.10/0.59 % (1721246)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2457518573:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 2.10/0.59 % (1721238)Instruction limit reached!
% 2.10/0.59 % (1721238)------------------------------
% 2.10/0.59 % (1721238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.59 % (1721238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.59 % (1721238)CaDiCaL version: 2.1.3
% 2.10/0.59 % (1721238)Termination reason: Instruction limit
% 2.10/0.59 % (1721238)Termination phase: Saturation
% 2.10/0.59 % (1721238)Time elapsed: 0.075 s
% 2.10/0.59 % (1721238)Peak memory usage: 14 MB
% 2.10/0.59 % (1721238)Instructions burned: 181 (million)
% 2.10/0.59 % (1721247)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2461825227:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 2.10/0.59 % (1721249)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4173107363:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 2.10/0.59 % (1721249)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.10/0.59 % (1721239)Instruction limit reached!
% 2.10/0.59 % (1721239)------------------------------
% 2.10/0.59 % (1721239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.59 % (1721239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.59 % (1721239)CaDiCaL version: 2.1.3
% 2.10/0.59 % (1721239)Termination reason: Instruction limit
% 2.10/0.59 % (1721239)Termination phase: Saturation
% 2.10/0.59 % (1721239)Time elapsed: 0.126 s
% 2.10/0.59 % (1721239)Peak memory usage: 16 MB
% 2.10/0.59 % (1721239)Instructions burned: 477 (million)
% 2.10/0.59 % Exception at run slice level
% 2.10/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.10/0.59 % (1721252)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=414870824:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 2.10/0.59 % (1721253)fmb+10_1_sil=64000:random_seed=1680940094:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 2.10/0.59 % (1721252)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.10/0.59 % (1721253)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.10/0.59 % (1721222) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1721211-1721222"...
% 2.10/0.59 % Exception at run slice level
% 2.10/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.10/0.59 % (1721222)...printing done.
% 2.10/0.59 % (1721222)Refutation found. Thanks to Tanya!
% 2.10/0.59 % SZS status Theorem for theBenchmark
% 2.10/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 2.10/0.60 % (1721222)------------------------------
% 2.10/0.60 % (1721222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.60 % (1721222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.60 % (1721222)CaDiCaL version: 2.1.3
% 2.10/0.60 % (1721222)Termination reason: Refutation
% 2.10/0.60 % (1721222)Time elapsed: 0.283 s
% 2.10/0.60 % (1721222)Peak memory usage: 17 MB
% 2.10/0.60 % (1721222)Instructions burned: 573 (million)
% 2.10/0.60 % (1721211)Success in time 0.344 s
% 2.10/0.60 % Vampire exiting
%------------------------------------------------------------------------------