%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP077^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 08:10:36 AM UTC 2026
% Result : Theorem 0.83s 0.42s
% Output : Refutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 13 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 25 ( 3 ~; 0 |; 0 &; 22 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 44 ( 43 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 525 ( 523 usr; 9 con; 0-4 aty)
% Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_list_list_list_a: $tType ).
thf(type_def_6,type,
multis971982480list_a: $tType ).
thf(type_def_7,type,
list_set_list_list_a: $tType ).
thf(type_def_8,type,
set_list_set_list_a: $tType ).
thf(type_def_9,type,
set_list_list_set_a: $tType ).
thf(type_def_10,type,
list_set_set_list_a: $tType ).
thf(type_def_11,type,
list_set_list_set_a: $tType ).
thf(type_def_12,type,
set_list_set_set_a: $tType ).
thf(type_def_13,type,
list_set_set_set_a: $tType ).
thf(type_def_14,type,
list_multiset_list_a: $tType ).
thf(type_def_15,type,
set_multiset_list_a: $tType ).
thf(type_def_16,type,
set_list_multiset_a: $tType ).
thf(type_def_17,type,
multiset_set_list_a: $tType ).
thf(type_def_18,type,
list_set_multiset_a: $tType ).
thf(type_def_19,type,
multiset_set_set_a: $tType ).
thf(type_def_20,type,
list_list_list_a: $tType ).
thf(type_def_21,type,
set_list_list_a: $tType ).
thf(type_def_22,type,
multiset_multiset_a: $tType ).
thf(type_def_23,type,
list_set_list_a: $tType ).
thf(type_def_24,type,
list_list_set_a: $tType ).
thf(type_def_25,type,
set_set_list_a: $tType ).
thf(type_def_26,type,
set_list_set_a: $tType ).
thf(type_def_27,type,
list_set_set_a: $tType ).
thf(type_def_28,type,
set_set_set_a: $tType ).
thf(type_def_29,type,
multiset_list_a: $tType ).
thf(type_def_30,type,
list_multiset_a: $tType ).
thf(type_def_31,type,
set_multiset_a: $tType ).
thf(type_def_32,type,
multiset_set_a: $tType ).
thf(type_def_33,type,
set_list_nat: $tType ).
thf(type_def_34,type,
list_set_nat: $tType ).
thf(type_def_35,type,
set_set_nat: $tType ).
thf(type_def_36,type,
list_list_a: $tType ).
thf(type_def_37,type,
set_list_a: $tType ).
thf(type_def_38,type,
list_set_a: $tType ).
thf(type_def_39,type,
multiset_nat: $tType ).
thf(type_def_40,type,
set_set_a: $tType ).
thf(type_def_41,type,
multiset_a: $tType ).
thf(type_def_42,type,
list_nat: $tType ).
thf(type_def_43,type,
set_nat: $tType ).
thf(type_def_44,type,
list_a: $tType ).
thf(type_def_45,type,
set_a: $tType ).
thf(type_def_46,type,
nat: $tType ).
thf(type_def_47,type,
a: $tType ).
thf(type_def_48,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bij_be94573046list_a: ( list_a > list_a ) > set_list_a > set_list_a > $o ).
thf(func_def_1,type,
bij_betw_list_a_a: ( list_a > a ) > set_list_a > set_a > $o ).
thf(func_def_2,type,
bij_betw_nat_nat: ( nat > nat ) > set_nat > set_nat > $o ).
thf(func_def_3,type,
bij_betw_a_list_a: ( a > list_a ) > set_a > set_list_a > $o ).
thf(func_def_4,type,
bij_betw_a_a: ( a > a ) > set_a > set_a > $o ).
thf(func_def_5,type,
inj_on_list_a_list_a: ( list_a > list_a ) > set_list_a > $o ).
thf(func_def_6,type,
inj_on_list_a_a: ( list_a > a ) > set_list_a > $o ).
thf(func_def_7,type,
inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).
thf(func_def_8,type,
inj_on_a_list_a: ( a > list_a ) > set_a > $o ).
thf(func_def_9,type,
inj_on_a_a: ( a > a ) > set_a > $o ).
thf(func_def_10,type,
groups1271887971list_a: list_multiset_list_a > multiset_list_a ).
thf(func_def_11,type,
groups1592617181iset_a: list_multiset_a > multiset_a ).
thf(func_def_12,type,
groups921905271st_nat: list_nat > nat ).
thf(func_def_13,type,
groups1792256535list_a: list_a > a ).
thf(func_def_14,type,
hilber921249868list_a: set_list_a > ( list_a > list_a ) > list_a > list_a ).
thf(func_def_15,type,
hilber2125729734st_a_a: set_list_a > ( list_a > a ) > a > list_a ).
thf(func_def_16,type,
hilber815131374at_nat: set_nat > ( nat > nat ) > nat > nat ).
thf(func_def_17,type,
hilber165648082list_a: set_a > ( a > list_a ) > list_a > a ).
thf(func_def_18,type,
hilbert_inv_into_a_a: set_a > ( a > a ) > a > a ).
thf(func_def_19,type,
hilber2024005914iset_a: set_multiset_a > list_set_multiset_a > $o ).
thf(func_def_20,type,
hilber1014902394mp_nat: set_nat > list_set_nat > $o ).
thf(func_def_21,type,
hilber2037636820comp_a: set_a > list_set_a > $o ).
thf(func_def_22,type,
list_ex_set_a: ( set_a > $o ) > list_set_a > $o ).
thf(func_def_23,type,
list_ex_a: ( a > $o ) > list_a > $o ).
thf(func_def_24,type,
list_update_set_a: list_set_a > nat > set_a > list_set_a ).
thf(func_def_25,type,
list_update_a: list_a > nat > a > list_a ).
thf(func_def_26,type,
listset_list_list_a: list_set_list_list_a > set_list_list_list_a ).
thf(func_def_27,type,
listset_list_set_a: list_set_list_set_a > set_list_list_set_a ).
thf(func_def_28,type,
listset_list_a: list_set_list_a > set_list_list_a ).
thf(func_def_29,type,
listset_multiset_a: list_set_multiset_a > set_list_multiset_a ).
thf(func_def_30,type,
listset_nat: list_set_nat > set_list_nat ).
thf(func_def_31,type,
listset_set_list_a: list_set_set_list_a > set_list_set_list_a ).
thf(func_def_32,type,
listset_set_set_a: list_set_set_set_a > set_list_set_set_a ).
thf(func_def_33,type,
listset_set_a: list_set_set_a > set_list_set_a ).
thf(func_def_34,type,
listset_a: list_set_a > set_list_a ).
thf(func_def_35,type,
nth_list_list_a: list_list_list_a > nat > list_list_a ).
thf(func_def_36,type,
nth_list_set_a: list_list_set_a > nat > list_set_a ).
thf(func_def_37,type,
nth_list_a: list_list_a > nat > list_a ).
thf(func_def_38,type,
nth_multiset_a: list_multiset_a > nat > multiset_a ).
thf(func_def_39,type,
nth_nat: list_nat > nat > nat ).
thf(func_def_40,type,
nth_set_list_list_a: list_set_list_list_a > nat > set_list_list_a ).
thf(func_def_41,type,
nth_set_list_set_a: list_set_list_set_a > nat > set_list_set_a ).
thf(func_def_42,type,
nth_set_list_a: list_set_list_a > nat > set_list_a ).
thf(func_def_43,type,
nth_set_multiset_a: list_set_multiset_a > nat > set_multiset_a ).
thf(func_def_44,type,
nth_set_nat: list_set_nat > nat > set_nat ).
thf(func_def_45,type,
nth_set_set_list_a: list_set_set_list_a > nat > set_set_list_a ).
thf(func_def_46,type,
nth_set_set_set_a: list_set_set_set_a > nat > set_set_set_a ).
thf(func_def_47,type,
nth_set_set_a: list_set_set_a > nat > set_set_a ).
thf(func_def_48,type,
nth_set_a: list_set_a > nat > set_a ).
thf(func_def_49,type,
nth_a: list_a > nat > a ).
thf(func_def_50,type,
rev_list_a: list_list_a > list_list_a ).
thf(func_def_51,type,
rev_nat: list_nat > list_nat ).
thf(func_def_52,type,
rev_set_list_a: list_set_list_a > list_set_list_a ).
thf(func_def_53,type,
rev_set_set_a: list_set_set_a > list_set_set_a ).
thf(func_def_54,type,
rev_set_a: list_set_a > list_set_a ).
thf(func_def_55,type,
rev_a: list_a > list_a ).
thf(func_def_56,type,
comm_m324867663list_a: multis971982480list_a > multiset_list_a ).
thf(func_def_57,type,
comm_m2145643721iset_a: multiset_multiset_a > multiset_a ).
thf(func_def_58,type,
comm_m1100186507et_nat: multiset_nat > nat ).
thf(func_def_59,type,
comm_m543484931mset_a: multiset_a > a ).
thf(func_def_60,type,
mset_list_a: list_list_a > multiset_list_a ).
thf(func_def_61,type,
mset_multiset_list_a: list_multiset_list_a > multis971982480list_a ).
thf(func_def_62,type,
mset_multiset_a: list_multiset_a > multiset_multiset_a ).
thf(func_def_63,type,
mset_nat: list_nat > multiset_nat ).
thf(func_def_64,type,
mset_set_list_a: list_set_list_a > multiset_set_list_a ).
thf(func_def_65,type,
mset_set_set_a: list_set_set_a > multiset_set_set_a ).
thf(func_def_66,type,
mset_set_a: list_set_a > multiset_set_a ).
thf(func_def_67,type,
mset_a: list_a > multiset_a ).
thf(func_def_68,type,
set_mset_list_a: multiset_list_a > set_list_a ).
thf(func_def_69,type,
set_ms1660427399list_a: multis971982480list_a > set_multiset_list_a ).
thf(func_def_70,type,
set_mset_multiset_a: multiset_multiset_a > set_multiset_a ).
thf(func_def_71,type,
set_mset_set_a: multiset_set_a > set_set_a ).
thf(func_def_72,type,
set_mset_a: multiset_a > set_a ).
thf(func_def_73,type,
size_s575106428list_a: list_list_list_a > nat ).
thf(func_def_74,type,
size_s341332310_set_a: list_list_set_a > nat ).
thf(func_def_75,type,
size_s1427607542list_a: list_list_a > nat ).
thf(func_def_76,type,
size_s1657263798iset_a: list_multiset_a > nat ).
thf(func_def_77,type,
size_size_list_nat: list_nat > nat ).
thf(func_def_78,type,
size_s240404444list_a: list_set_list_list_a > nat ).
thf(func_def_79,type,
size_s926492982_set_a: list_set_list_set_a > nat ).
thf(func_def_80,type,
size_s1635937238list_a: list_set_list_a > nat ).
thf(func_def_81,type,
size_s802269334iset_a: list_set_multiset_a > nat ).
thf(func_def_82,type,
size_s577819178et_nat: list_set_nat > nat ).
thf(func_def_83,type,
size_s469631926list_a: list_set_set_list_a > nat ).
thf(func_def_84,type,
size_s726512144_set_a: list_set_set_set_a > nat ).
thf(func_def_85,type,
size_s739728560_set_a: list_set_set_a > nat ).
thf(func_def_86,type,
size_size_list_set_a: list_set_a > nat ).
thf(func_def_87,type,
size_size_list_a: list_a > nat ).
thf(func_def_88,type,
size_s657334288_set_a: multiset_set_a > nat ).
thf(func_def_89,type,
size_size_multiset_a: multiset_a > nat ).
thf(func_def_90,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_91,type,
ord_less_set_list_a: set_list_a > set_list_a > $o ).
thf(func_def_92,type,
ord_less_set_nat: set_nat > set_nat > $o ).
thf(func_def_93,type,
ord_less_set_a: set_a > set_a > $o ).
thf(func_def_94,type,
ord_less_eq_o_nat: ( $o > nat ) > ( $o > nat ) > $o ).
thf(func_def_95,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_96,type,
ord_le1301786372list_a: set_list_a > set_list_a > $o ).
thf(func_def_97,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(func_def_98,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_99,type,
perm_set_a: list_set_a > list_set_a > $o ).
thf(func_def_100,type,
perm_a: list_a > list_a > $o ).
thf(func_def_101,type,
collect_list_list_a: ( list_list_a > $o ) > set_list_list_a ).
thf(func_def_102,type,
collect_list_set_a: ( list_set_a > $o ) > set_list_set_a ).
thf(func_def_103,type,
collect_list_a: ( list_a > $o ) > set_list_a ).
thf(func_def_104,type,
collect_multiset_a: ( multiset_a > $o ) > set_multiset_a ).
thf(func_def_105,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_106,type,
collect_set_a: ( set_a > $o ) > set_set_a ).
thf(func_def_107,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_108,type,
image_list_nat_nat: ( list_nat > nat ) > set_list_nat > set_nat ).
thf(func_def_109,type,
image_list_a_list_a: ( list_a > list_a ) > set_list_a > set_list_a ).
thf(func_def_110,type,
image_list_a_a: ( list_a > a ) > set_list_a > set_a ).
thf(func_def_111,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_112,type,
image_a_list_a: ( a > list_a ) > set_a > set_list_a ).
thf(func_def_113,type,
image_a_a: ( a > a ) > set_a > set_a ).
thf(func_def_114,type,
set_ord_lessThan_nat: nat > set_nat ).
thf(func_def_115,type,
set_or1578766727list_a: set_list_a > set_set_list_a ).
thf(func_def_116,type,
set_or1597314339et_nat: set_nat > set_set_nat ).
thf(func_def_117,type,
set_or1164043265_set_a: set_a > set_set_a ).
thf(func_def_118,type,
member1511395513list_a: list_list_list_a > set_list_list_list_a > $o ).
thf(func_def_119,type,
member954073875_set_a: list_list_set_a > set_list_list_set_a > $o ).
thf(func_def_120,type,
member_list_list_a: list_list_a > set_list_list_a > $o ).
thf(func_def_121,type,
member518144627iset_a: list_multiset_a > set_list_multiset_a > $o ).
thf(func_def_122,type,
member_list_nat: list_nat > set_list_nat > $o ).
thf(func_def_123,type,
member101195155list_a: list_set_list_a > set_list_set_list_a > $o ).
thf(func_def_124,type,
member814963949_set_a: list_set_set_a > set_list_set_set_a > $o ).
thf(func_def_125,type,
member_list_set_a: list_set_a > set_list_set_a > $o ).
thf(func_def_126,type,
member_list_a: list_a > set_list_a > $o ).
thf(func_def_127,type,
member528267379list_a: multiset_list_a > set_multiset_list_a > $o ).
thf(func_def_128,type,
member_multiset_a: multiset_a > set_multiset_a > $o ).
thf(func_def_129,type,
member_nat: nat > set_nat > $o ).
thf(func_def_130,type,
member_set_list_a: set_list_a > set_set_list_a > $o ).
thf(func_def_131,type,
member_set_nat: set_nat > set_set_nat > $o ).
thf(func_def_132,type,
member_set_set_a: set_set_a > set_set_set_a > $o ).
thf(func_def_133,type,
member_set_a: set_a > set_set_a > $o ).
thf(func_def_134,type,
member_a: a > set_a > $o ).
thf(func_def_135,type,
a2: set_a ).
thf(func_def_136,type,
a3: a ).
thf(func_def_137,type,
f: nat > nat ).
thf(func_def_138,type,
g: nat > nat ).
thf(func_def_139,type,
qs2: list_a ).
thf(func_def_140,type,
qs: list_a ).
thf(func_def_141,type,
ss1: list_set_a ).
thf(func_def_142,type,
ss2: list_set_a ).
thf(func_def_146,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_147,type,
vIMP: $o > $o > $o ).
thf(func_def_148,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_149,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_150,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_151,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_152,type,
vAND: $o > $o > $o ).
thf(func_def_153,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_154,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_155,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_156,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_157,type,
vNOT: $o > $o ).
thf(func_def_158,type,
vOR: $o > $o > $o ).
thf(func_def_159,type,
sP0: nat > nat > nat > $o ).
thf(func_def_160,type,
sP1: nat > nat > nat > $o ).
thf(func_def_161,type,
sP2: nat > nat > nat > $o ).
thf(func_def_162,type,
sK3: list_a ).
thf(func_def_163,type,
sK4: multiset_a > list_set_multiset_a > list_multiset_a ).
thf(func_def_164,type,
sK5: nat > list_set_nat > list_nat ).
thf(func_def_165,type,
sK6: a > list_set_a > list_a ).
thf(func_def_166,type,
sK7: set_multiset_a > list_set_multiset_a > multiset_a ).
thf(func_def_167,type,
sK8: list_multiset_a > set_multiset_a > list_set_multiset_a > list_multiset_a ).
thf(func_def_168,type,
sK9: set_multiset_a > list_set_multiset_a > list_multiset_a ).
thf(func_def_169,type,
sK10: set_nat > list_set_nat > nat ).
thf(func_def_170,type,
sK11: list_nat > set_nat > list_set_nat > list_nat ).
thf(func_def_171,type,
sK12: set_nat > list_set_nat > list_nat ).
thf(func_def_172,type,
sK13: set_a > list_set_a > a ).
thf(func_def_173,type,
sK14: list_a > set_a > list_set_a > list_a ).
thf(func_def_174,type,
sK15: set_a > list_set_a > list_a ).
thf(func_def_175,type,
sK16: list_a ).
thf(func_def_176,type,
sK17: multiset_set_a > list_set_a ).
thf(func_def_177,type,
sK18: multiset_list_a > list_list_a ).
thf(func_def_178,type,
sK19: multiset_a > list_a ).
thf(func_def_179,type,
sK20: list_list_a > list_list_a > ( nat > nat ) > nat ).
thf(func_def_180,type,
sK21: list_set_list_a > list_set_list_a > ( nat > nat ) > nat ).
thf(func_def_181,type,
sK22: list_set_set_a > list_set_set_a > ( nat > nat ) > nat ).
thf(func_def_182,type,
sK23: list_nat > list_nat > ( nat > nat ) > nat ).
thf(func_def_183,type,
sK24: list_a > list_a > ( nat > nat ) > nat ).
thf(func_def_184,type,
sK25: list_set_a > list_set_a > ( nat > nat ) > nat ).
thf(func_def_185,type,
sK26: list_set_set_list_a > ( nat > nat ) > list_set_list_a > list_set_list_a ).
thf(func_def_186,type,
sK27: list_set_set_list_a > ( nat > nat ) > list_set_set_list_a > nat ).
thf(func_def_187,type,
sK28: list_set_set_set_a > ( nat > nat ) > list_set_set_a > list_set_set_a ).
thf(func_def_188,type,
sK29: list_set_set_set_a > ( nat > nat ) > list_set_set_set_a > nat ).
thf(func_def_189,type,
sK30: list_set_nat > ( nat > nat ) > list_nat > list_nat ).
thf(func_def_190,type,
sK31: list_set_nat > ( nat > nat ) > list_set_nat > nat ).
thf(func_def_191,type,
sK32: list_set_list_a > ( nat > nat ) > list_list_a > list_list_a ).
thf(func_def_192,type,
sK33: list_set_list_a > ( nat > nat ) > list_set_list_a > nat ).
thf(func_def_193,type,
sK34: list_set_set_a > ( nat > nat ) > list_set_a > list_set_a ).
thf(func_def_194,type,
sK35: list_set_set_a > ( nat > nat ) > list_set_set_a > nat ).
thf(func_def_195,type,
sK36: list_set_a > ( nat > nat ) > list_a > list_a ).
thf(func_def_196,type,
sK37: list_set_a > ( nat > nat ) > list_set_a > nat ).
thf(func_def_197,type,
sK38: list_set_multiset_a > list_multiset_a > nat ).
thf(func_def_198,type,
sK39: list_set_list_list_a > list_list_list_a > nat ).
thf(func_def_199,type,
sK40: list_set_list_set_a > list_list_set_a > nat ).
thf(func_def_200,type,
sK41: list_set_set_list_a > list_set_list_a > nat ).
thf(func_def_201,type,
sK42: list_set_set_set_a > list_set_set_a > nat ).
thf(func_def_202,type,
sK43: list_set_nat > list_nat > nat ).
thf(func_def_203,type,
sK44: list_set_list_a > list_list_a > nat ).
thf(func_def_204,type,
sK45: list_set_a > list_a > nat ).
thf(func_def_205,type,
sK46: list_set_set_a > list_set_a > nat ).
thf(func_def_206,type,
sK47: list_list_a > list_list_a > nat ).
thf(func_def_207,type,
sK48: list_set_list_a > list_set_list_a > nat ).
thf(func_def_208,type,
sK49: list_set_set_a > list_set_set_a > nat ).
thf(func_def_209,type,
sK50: list_nat > list_nat > nat ).
thf(func_def_210,type,
sK51: list_a > list_a > nat ).
thf(func_def_211,type,
sK52: list_set_a > list_set_a > nat ).
thf(func_def_212,type,
sK53: nat > nat ).
thf(func_def_213,type,
sK54: nat > nat ).
thf(func_def_214,type,
sK55: ( list_a > $o ) > ( list_a > $o ) > list_a ).
thf(func_def_215,type,
sK56: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_216,type,
sK57: nat > list_list_a ).
thf(func_def_217,type,
sK58: nat > list_set_list_a ).
thf(func_def_218,type,
sK59: nat > list_set_set_a ).
thf(func_def_219,type,
sK60: nat > list_nat ).
thf(func_def_220,type,
sK61: nat > list_a ).
thf(func_def_221,type,
sK62: nat > list_set_a ).
thf(func_def_222,type,
sK63: ( list_set_list_a > $o ) > list_set_list_a ).
thf(func_def_223,type,
sK64: ( list_set_set_a > $o ) > list_set_set_a ).
thf(func_def_224,type,
sK65: ( list_nat > $o ) > list_nat ).
thf(func_def_225,type,
sK66: ( list_a > $o ) > list_a ).
thf(func_def_226,type,
sK67: ( list_set_a > $o ) > list_set_a ).
thf(func_def_227,type,
sK68: list_a > list_a > nat > nat ).
thf(func_def_228,type,
sK69: list_set_a > list_set_a > nat > nat ).
thf(func_def_229,type,
sK70: set_nat > set_nat > nat > nat ).
thf(func_def_230,type,
sK71: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_231,type,
sK72: set_a > ( a > a ) > set_a > a ).
thf(func_def_232,type,
sK73: set_list_a > ( a > list_a ) > set_a > a ).
thf(func_def_233,type,
sK74: set_a > ( list_a > a ) > set_list_a > list_a ).
thf(func_def_234,type,
sK75: set_list_a > ( list_a > list_a ) > set_list_a > list_a ).
thf(func_def_235,type,
sK76: ( list_a > $o ) > set_list_a > list_a > list_a ).
thf(func_def_236,type,
sK77: ( list_set_a > $o ) > set_list_set_a > list_set_a > list_set_a ).
thf(func_def_237,type,
sK78: set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_238,type,
sK79: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_239,type,
sK80: list_set_a > list_set_a > nat ).
thf(func_def_240,type,
sK81: set_nat > set_nat > nat > nat ).
thf(func_def_241,type,
sK82: nat > nat ).
thf(func_def_242,type,
sK83: nat > nat ).
thf(func_def_243,type,
sK84: set_a > set_a > a ).
thf(func_def_244,type,
sK85: set_list_a > set_list_a > list_a ).
thf(func_def_245,type,
sK86: ( nat > $o ) > nat ).
thf(func_def_246,type,
sK87: nat > ( nat > $o ) > nat ).
thf(func_def_247,type,
sK88: ( nat > nat > $o ) > nat ).
thf(func_def_248,type,
sK89: ( nat > nat > $o ) > nat ).
thf(func_def_249,type,
sK90: ( nat > nat > $o ) > nat ).
thf(func_def_250,type,
sK91: ( nat > nat > $o ) > nat ).
thf(func_def_251,type,
sK92: ( nat > nat ) > nat ).
thf(func_def_252,type,
sK93: ( nat > nat ) > nat ).
thf(func_def_253,type,
sK94: ( nat > nat ) > nat ).
thf(func_def_254,type,
sK95: ( nat > nat ) > nat ).
thf(func_def_255,type,
sK96: ( nat > nat ) > nat ).
thf(func_def_256,type,
sK97: ( nat > nat ) > nat ).
thf(func_def_257,type,
sK98: ( nat > nat ) > nat ).
thf(func_def_258,type,
sK99: ( nat > nat ) > nat ).
thf(func_def_259,type,
sK100: ( nat > nat > $o ) > nat ).
thf(func_def_260,type,
sK101: ( nat > nat > $o ) > nat ).
thf(func_def_261,type,
sK102: ( nat > nat > $o ) > nat ).
thf(func_def_262,type,
sK103: ( nat > nat > $o ) > nat ).
thf(func_def_263,type,
sK104: ( nat > nat > $o ) > nat ).
thf(func_def_264,type,
sK105: ( nat > $o ) > nat ).
thf(func_def_265,type,
sK106: nat > nat ).
thf(func_def_266,type,
sK107: ( nat > nat ) > nat ).
thf(func_def_267,type,
sK108: ( nat > nat ) > nat ).
thf(func_def_268,type,
sK109: ( nat > nat ) > nat ).
thf(func_def_269,type,
sK110: ( nat > nat ) > nat ).
thf(func_def_270,type,
sK111: ( nat > nat ) > nat ).
thf(func_def_271,type,
sK112: ( nat > nat ) > nat ).
thf(func_def_272,type,
sK113: ( nat > nat ) > nat ).
thf(func_def_273,type,
sK114: ( nat > nat ) > nat ).
thf(func_def_274,type,
sK115: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_275,type,
sK116: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_276,type,
sK117: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_277,type,
sK118: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_278,type,
sK119: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_279,type,
sK120: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_280,type,
sK121: nat > nat ).
thf(func_def_281,type,
sK122: nat > nat ).
thf(func_def_282,type,
sK123: nat > nat ).
thf(func_def_283,type,
sK124: nat > nat ).
thf(func_def_284,type,
sK125: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_285,type,
sK126: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_286,type,
sK127: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_287,type,
sK128: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_288,type,
sK129: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_289,type,
sK130: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_290,type,
sK131: nat > nat ).
thf(func_def_291,type,
sK132: nat > nat ).
thf(func_def_292,type,
sK133: nat > nat ).
thf(func_def_293,type,
sK134: nat > nat ).
thf(func_def_294,type,
sK135: set_list_a > set_list_a > list_a ).
thf(func_def_295,type,
sK136: set_a > set_a > a ).
thf(func_def_296,type,
sK137: set_list_a > set_list_a > list_a ).
thf(func_def_297,type,
sK138: set_a > set_a > a ).
thf(func_def_298,type,
sK139: set_nat > set_nat > nat > nat ).
thf(func_def_299,type,
sK140: list_set_a > set_a > ( a > list_a ) > a ).
thf(func_def_300,type,
sK141: list_set_a > set_a > ( a > list_a ) > list_a ).
thf(func_def_301,type,
sK142: set_nat > set_nat > ( nat > nat ) > nat > nat ).
thf(func_def_302,type,
sK143: set_nat > set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_303,type,
sK144: set_nat > ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_304,type,
sK145: set_nat > set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_305,type,
sK146: set_nat > ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_306,type,
sK147: list_set_a > list_set_a > a ).
thf(func_def_307,type,
sK148: ( nat > nat ) > set_nat > set_nat > nat > nat ).
thf(func_def_308,type,
sK149: ( nat > nat ) > set_nat > set_nat > nat > nat ).
thf(func_def_309,type,
sK150: ( nat > nat ) > set_nat > set_nat > nat > nat ).
thf(func_def_310,type,
sK151: ( nat > nat ) > set_nat > set_nat > nat > nat ).
thf(func_def_311,type,
sK152: set_nat > ( nat > nat ) > nat > nat ).
thf(func_def_312,type,
sK153: set_nat > set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_313,type,
sK154: set_nat > ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_314,type,
sK155: set_nat > set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_315,type,
sK156: set_nat > ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_316,type,
sK157: set_nat > ( nat > nat ) > nat > nat ).
thf(func_def_317,type,
sK158: set_nat > ( nat > nat ) > nat > nat ).
thf(func_def_318,type,
sK159: set_nat > set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_319,type,
sK160: set_nat > ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_320,type,
sK161: set_list_a > set_list_a > list_a ).
thf(func_def_321,type,
sK162: set_list_a > set_list_a > list_a ).
thf(func_def_322,type,
sK163: set_list_a > set_list_a > list_a ).
thf(func_def_323,type,
sK164: set_list_a > set_list_a > list_a ).
thf(func_def_324,type,
sK165: set_a > set_a > a ).
thf(func_def_325,type,
sK166: set_a > set_a > a ).
thf(func_def_326,type,
sK167: set_a > set_a > a ).
thf(func_def_327,type,
sK168: set_a > set_a > a ).
thf(func_def_328,type,
sK169: multis971982480list_a > list_a > multiset_list_a ).
thf(func_def_329,type,
sK170: multiset_multiset_a > a > multiset_a ).
thf(func_def_330,type,
sK171: list_set_a > a > list_a ).
thf(func_def_331,type,
sK172: set_nat > set_nat > ( nat > nat ) > nat > nat ).
thf(func_def_332,type,
sK173: set_nat > set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_333,type,
sK174: set_nat > ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_334,type,
sK175: set_nat > set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_335,type,
sK176: set_nat > ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_336,type,
sK177: set_nat > set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_337,type,
sK178: set_nat > ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_338,type,
sK179: set_nat > set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_339,type,
sK180: set_nat > ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_340,type,
sK181: set_nat > set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_341,type,
sK182: set_nat > ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_342,type,
sK183: set_nat > set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_343,type,
sK184: set_nat > ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_344,type,
sK185: set_list_a > set_list_a > ( list_a > list_a ) > ( list_a > list_a ) > list_a ).
thf(func_def_345,type,
sK186: set_list_a > ( list_a > list_a ) > ( list_a > list_a ) > set_list_a > list_a ).
thf(func_def_346,type,
sK187: set_list_a > set_a > ( list_a > a ) > ( a > list_a ) > a ).
thf(func_def_347,type,
sK188: set_list_a > ( list_a > a ) > ( a > list_a ) > set_a > list_a ).
thf(func_def_348,type,
sK189: set_a > set_list_a > ( a > list_a ) > ( list_a > a ) > list_a ).
thf(func_def_349,type,
sK190: set_a > ( a > list_a ) > ( list_a > a ) > set_list_a > a ).
thf(func_def_350,type,
sK191: set_a > set_a > ( a > a ) > ( a > a ) > a ).
thf(func_def_351,type,
sK192: set_a > ( a > a ) > ( a > a ) > set_a > a ).
thf(func_def_352,type,
sK193: ( nat > nat ) > set_nat > set_nat > nat > nat ).
thf(func_def_353,type,
sK194: ( nat > nat ) > set_nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_354,type,
sK195: ( nat > nat ) > set_nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_355,type,
sK196: ( nat > nat ) > set_nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_356,type,
sK197: ( nat > nat ) > set_nat > set_nat > nat > nat ).
thf(func_def_357,type,
sK198: ( nat > nat ) > set_nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_358,type,
sK199: ( nat > nat ) > set_nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_359,type,
sK200: ( nat > nat ) > set_nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_360,type,
sK201: ( nat > nat ) > set_nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_361,type,
sK202: ( nat > nat ) > set_nat > set_nat > nat > nat ).
thf(func_def_362,type,
sK203: ( nat > nat ) > set_nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_363,type,
sK204: ( nat > nat ) > set_nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_364,type,
sK205: ( nat > nat ) > set_nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_365,type,
sK206: ( nat > nat ) > set_nat > set_nat > nat > nat ).
thf(func_def_366,type,
sK207: ( nat > nat ) > set_nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_367,type,
sK208: ( nat > nat ) > set_nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_368,type,
sK209: ( nat > nat ) > set_nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_369,type,
sK210: ( nat > nat ) > set_nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_370,type,
sK211: set_nat > set_nat > nat > nat ).
thf(func_def_371,type,
sK212: set_nat > set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_372,type,
sK213: set_nat > ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_373,type,
sK214: set_nat > set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_374,type,
sK215: set_nat > ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_375,type,
sK216: set_nat > set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_376,type,
sK217: set_nat > ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_377,type,
sK218: set_nat > set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_378,type,
sK219: set_nat > ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_379,type,
sK220: list_set_a > list_set_a > nat > nat ).
thf(func_def_380,type,
sK221: list_a > list_a > nat > nat ).
thf(func_def_381,type,
sK222: nat > nat ).
thf(func_def_382,type,
sK223: nat > nat ).
thf(func_def_383,type,
sK224: ( nat > set_a > $o ) > nat > nat ).
thf(func_def_384,type,
sK225: ( nat > set_a > $o ) > nat > list_set_a ).
thf(func_def_385,type,
sK226: ( nat > set_a > $o ) > list_set_a > nat > nat ).
thf(func_def_386,type,
sK227: ( nat > set_a > $o ) > nat > set_a ).
thf(func_def_387,type,
sK228: ( nat > a > $o ) > nat > nat ).
thf(func_def_388,type,
sK229: ( nat > a > $o ) > nat > list_a ).
thf(func_def_389,type,
sK230: ( nat > a > $o ) > list_a > nat > nat ).
thf(func_def_390,type,
sK231: ( nat > a > $o ) > nat > a ).
thf(func_def_391,type,
sK232: ( nat > nat > $o ) > nat > nat ).
thf(func_def_392,type,
sK233: ( nat > nat > $o ) > nat > list_nat ).
thf(func_def_393,type,
sK234: ( nat > nat > $o ) > list_nat > nat > nat ).
thf(func_def_394,type,
sK235: ( nat > nat > $o ) > nat > nat ).
thf(func_def_395,type,
sK236: ( nat > set_set_a > $o ) > nat > nat ).
thf(func_def_396,type,
sK237: ( nat > set_set_a > $o ) > nat > list_set_set_a ).
thf(func_def_397,type,
sK238: ( nat > set_set_a > $o ) > list_set_set_a > nat > nat ).
thf(func_def_398,type,
sK239: ( nat > set_set_a > $o ) > nat > set_set_a ).
thf(func_def_399,type,
sK240: ( nat > set_list_a > $o ) > nat > nat ).
thf(func_def_400,type,
sK241: ( nat > set_list_a > $o ) > nat > list_set_list_a ).
thf(func_def_401,type,
sK242: ( nat > set_list_a > $o ) > list_set_list_a > nat > nat ).
thf(func_def_402,type,
sK243: ( nat > set_list_a > $o ) > nat > set_list_a ).
thf(func_def_403,type,
sK244: ( nat > list_a > $o ) > nat > nat ).
thf(func_def_404,type,
sK245: ( nat > list_a > $o ) > nat > list_list_a ).
thf(func_def_405,type,
sK246: ( nat > list_a > $o ) > list_list_a > nat > nat ).
thf(func_def_406,type,
sK247: ( nat > list_a > $o ) > nat > list_a ).
thf(func_def_407,type,
sK248: nat > nat ).
thf(func_def_408,type,
sK249: nat > nat ).
thf(func_def_409,type,
sK250: list_set_a > list_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_410,type,
sK251: list_set_a > list_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_411,type,
sK252: list_set_a > list_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_412,type,
sK253: list_set_a > list_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_413,type,
sK254: list_set_a > list_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_414,type,
sK255: list_set_a > list_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_415,type,
sK256: list_set_a > list_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_416,type,
sK257: list_set_a > list_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_417,type,
sK258: list_set_a > list_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_418,type,
sK259: list_set_a > list_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_419,type,
sK260: list_set_a > list_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_420,type,
sK261: list_set_a > list_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_421,type,
sK262: list_set_set_a > list_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_422,type,
sK263: list_set_set_a > list_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_423,type,
sK264: list_set_set_a > list_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_424,type,
sK265: list_set_set_a > list_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_425,type,
sK266: list_set_set_a > list_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_426,type,
sK267: list_set_set_a > list_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_427,type,
sK268: list_set_set_a > list_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_428,type,
sK269: list_set_set_a > list_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_429,type,
sK270: list_set_set_a > list_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_430,type,
sK271: list_set_set_a > list_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_431,type,
sK272: list_set_set_a > list_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_432,type,
sK273: list_set_set_a > list_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_433,type,
sK274: list_set_list_a > list_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_434,type,
sK275: list_set_list_a > list_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_435,type,
sK276: list_set_list_a > list_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_436,type,
sK277: list_set_list_a > list_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_437,type,
sK278: list_set_list_a > list_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_438,type,
sK279: list_set_list_a > list_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_439,type,
sK280: list_set_list_a > list_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_440,type,
sK281: list_set_list_a > list_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_441,type,
sK282: list_set_list_a > list_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_442,type,
sK283: list_set_list_a > list_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_443,type,
sK284: list_set_list_a > list_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_444,type,
sK285: list_set_list_a > list_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_445,type,
sK286: list_set_nat > list_set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_446,type,
sK287: list_set_nat > list_set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_447,type,
sK288: list_set_nat > list_set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_448,type,
sK289: list_set_nat > list_set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_449,type,
sK290: list_set_nat > list_set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_450,type,
sK291: list_set_nat > list_set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_451,type,
sK292: list_set_nat > list_set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_452,type,
sK293: list_set_nat > list_set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_453,type,
sK294: list_set_nat > list_set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_454,type,
sK295: list_set_nat > list_set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_455,type,
sK296: list_set_nat > list_set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_456,type,
sK297: list_set_nat > list_set_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_457,type,
sK298: list_set_set_set_a > list_set_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_458,type,
sK299: list_set_set_set_a > list_set_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_459,type,
sK300: list_set_set_set_a > list_set_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_460,type,
sK301: list_set_set_set_a > list_set_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_461,type,
sK302: list_set_set_set_a > list_set_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_462,type,
sK303: list_set_set_set_a > list_set_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_463,type,
sK304: list_set_set_set_a > list_set_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_464,type,
sK305: list_set_set_set_a > list_set_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_465,type,
sK306: list_set_set_set_a > list_set_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_466,type,
sK307: list_set_set_set_a > list_set_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_467,type,
sK308: list_set_set_set_a > list_set_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_468,type,
sK309: list_set_set_set_a > list_set_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_469,type,
sK310: list_set_set_list_a > list_set_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_470,type,
sK311: list_set_set_list_a > list_set_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_471,type,
sK312: list_set_set_list_a > list_set_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_472,type,
sK313: list_set_set_list_a > list_set_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_473,type,
sK314: list_set_set_list_a > list_set_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_474,type,
sK315: list_set_set_list_a > list_set_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_475,type,
sK316: list_set_set_list_a > list_set_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_476,type,
sK317: list_set_set_list_a > list_set_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_477,type,
sK318: list_set_set_list_a > list_set_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_478,type,
sK319: list_set_set_list_a > list_set_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_479,type,
sK320: list_set_set_list_a > list_set_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_480,type,
sK321: list_set_set_list_a > list_set_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_481,type,
sK322: list_set_a > list_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_482,type,
sK323: list_set_a > ( nat > nat ) > ( nat > nat ) > list_set_a > nat ).
thf(func_def_483,type,
sK324: list_set_a > list_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_484,type,
sK325: list_set_a > ( nat > nat ) > ( nat > nat ) > list_set_a > nat ).
thf(func_def_485,type,
sK326: list_a > list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_486,type,
sK327: list_a > ( nat > nat ) > ( nat > nat ) > list_a > nat ).
thf(func_def_487,type,
sK328: list_a > list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_488,type,
sK329: list_a > ( nat > nat ) > ( nat > nat ) > list_a > nat ).
thf(func_def_489,type,
sK330: list_nat > list_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_490,type,
sK331: list_nat > ( nat > nat ) > ( nat > nat ) > list_nat > nat ).
thf(func_def_491,type,
sK332: list_nat > list_nat > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_492,type,
sK333: list_nat > ( nat > nat ) > ( nat > nat ) > list_nat > nat ).
thf(func_def_493,type,
sK334: list_set_set_a > list_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_494,type,
sK335: list_set_set_a > ( nat > nat ) > ( nat > nat ) > list_set_set_a > nat ).
thf(func_def_495,type,
sK336: list_set_set_a > list_set_set_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_496,type,
sK337: list_set_set_a > ( nat > nat ) > ( nat > nat ) > list_set_set_a > nat ).
thf(func_def_497,type,
sK338: list_set_list_a > list_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_498,type,
sK339: list_set_list_a > ( nat > nat ) > ( nat > nat ) > list_set_list_a > nat ).
thf(func_def_499,type,
sK340: list_set_list_a > list_set_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_500,type,
sK341: list_set_list_a > ( nat > nat ) > ( nat > nat ) > list_set_list_a > nat ).
thf(func_def_501,type,
sK342: list_list_a > list_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_502,type,
sK343: list_list_a > ( nat > nat ) > ( nat > nat ) > list_list_a > nat ).
thf(func_def_503,type,
sK344: list_list_a > list_list_a > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_504,type,
sK345: list_list_a > ( nat > nat ) > ( nat > nat ) > list_list_a > nat ).
thf(func_def_505,type,
sK346: a > list_a ).
thf(func_def_506,type,
sK347: list_set_a > ( a > list_a ) > set_a > a ).
thf(func_def_507,type,
sK348: list_set_a > set_a > ( a > list_a ) > list_a ).
thf(func_def_508,type,
sK349: nat > nat ).
thf(func_def_509,type,
sK350: list_set_a > set_a > ( a > list_a ) > a ).
thf(func_def_510,type,
sK351: list_set_a > set_a > ( a > list_a ) > list_a ).
thf(func_def_511,type,
sK352: set_a > list_set_a > a > list_a ).
thf(func_def_512,type,
sK353: set_a > list_set_a > a > list_a ).
thf(func_def_513,type,
sK354: set_a > list_set_a > a > list_a ).
thf(func_def_514,type,
sK355: set_a > list_set_a > a > list_a ).
thf(func_def_515,type,
sK356: set_a > list_set_a > a > list_a ).
thf(func_def_516,type,
sK357: set_a > list_set_a > a > list_a ).
thf(func_def_517,type,
sK358: set_a > list_set_a > a > list_a ).
thf(func_def_518,type,
sK359: set_a > list_set_a > a > list_a ).
thf(func_def_519,type,
sK360: list_set_a > ( a > list_a ) > set_a > a ).
thf(func_def_520,type,
sK361: list_set_a > ( a > list_a ) > set_a > list_a ).
thf(func_def_521,type,
sK362: list_set_a > ( a > list_a ) > set_a > a ).
thf(func_def_522,type,
sK363: list_set_a > ( a > list_a ) > set_a > list_a ).
thf(func_def_523,type,
sK364: list_set_a > ( a > list_a ) > set_a > a ).
thf(func_def_524,type,
sK365: list_set_a > ( a > list_a ) > set_a > list_a ).
thf(f1,axiom,
( ( mset_a @ qs2 )
= ( mset_a @ qs ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062mset_Aqs2_A_061_Amset_Aqs_092_060close_062) ).
thf(f3,axiom,
( a3
= ( groups1792256535list_a @ qs ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_a) ).
thf(f25,axiom,
! [X0: list_a] :
( ( comm_m543484931mset_a @ ( mset_a @ X0 ) )
= ( groups1792256535list_a @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_sum__mset__sum__list) ).
thf(f354,conjecture,
( a3
= ( groups1792256535list_a @ qs2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f355,negated_conjecture,
( a3
!= ( groups1792256535list_a @ qs2 ) ),
inference(negated_conjecture,[status(cth)],[f354]) ).
thf(f939,plain,
( a3
!= ( groups1792256535list_a @ qs2 ) ),
inference(flattening,[],[f355]) ).
thf(f1425,plain,
( ( mset_a @ qs2 )
= ( mset_a @ qs ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f1427,plain,
( a3
= ( groups1792256535list_a @ qs ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f1474,plain,
! [X0: list_a] :
( ( groups1792256535list_a @ X0 )
= ( comm_m543484931mset_a @ ( mset_a @ X0 ) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f1927,plain,
( a3
!= ( groups1792256535list_a @ qs2 ) ),
inference(cnf_transformation,[],[f939]) ).
thf(f5526,plain,
( ( groups1792256535list_a @ qs2 )
= ( comm_m543484931mset_a @ ( mset_a @ qs ) ) ),
inference(constrained_superposition,[],[f1474,f1425]) ).
thf(f5528,plain,
( ( groups1792256535list_a @ qs )
= ( groups1792256535list_a @ qs2 ) ),
inference(forward_demodulation,[],[f5526,f1474]) ).
thf(f5529,plain,
( a3
= ( groups1792256535list_a @ qs2 ) ),
inference(forward_demodulation,[],[f5528,f1427]) ).
thf(f5530,plain,
$false,
inference(forward_subsumption_resolution,[],[f5529,f1927]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP077^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n015.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 19:51:19 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/0.42 % (4025727)Will run a generic schedule for satisfiability detection.
% 0.83/0.42 % (4025735)dis+10_1_sil=32000:sp=arity:random_seed=1167854439:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.83/0.42 % (4025733)% WARNING: option uhcvi not known.
% 0.83/0.42 % (4025733)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2571357723:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.83/0.42 % (4025732)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2077118224_2999 on theBenchmark for (2999ds/0Mi)
% 0.83/0.42 % (4025734)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2182770146:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.83/0.42 % (4025736)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3756074709:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.83/0.42 % (4025738)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1909117097:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.83/0.42 % (4025737)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=221934064:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.83/0.42 % (4025735)Instruction limit reached!
% 0.83/0.42 % (4025735)------------------------------
% 0.83/0.42 % (4025735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (4025735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (4025735)CaDiCaL version: 2.1.3
% 0.83/0.42 % (4025735)Termination reason: Instruction limit
% 0.83/0.42 % (4025735)Termination phase: Property scanning
% 0.83/0.42 % (4025735)Time elapsed: 0.023 s
% 0.83/0.42 % (4025735)Peak memory usage: 12 MB
% 0.83/0.42 % (4025735)Instructions burned: 104 (million)
% 0.83/0.42 % (4025733)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.83/0.42 % (4025736)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.83/0.42 % (4025746)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2999446053:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.83/0.42 % (4025736)Instruction limit reached!
% 0.83/0.42 % (4025736)------------------------------
% 0.83/0.42 % (4025736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (4025736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (4025736)CaDiCaL version: 2.1.3
% 0.83/0.42 % (4025736)Termination reason: Instruction limit
% 0.83/0.42 % (4025736)Termination phase: Property scanning
% 0.83/0.42 % (4025736)Time elapsed: 0.049 s
% 0.83/0.42 % (4025736)Peak memory usage: 11 MB
% 0.83/0.42 % (4025736)Instructions burned: 118 (million)
% 0.83/0.42 % Exception at run slice level
% 0.83/0.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.83/0.42 % Exception at run slice level
% 0.83/0.42 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.83/0.42 % (4025733)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.83/0.42 % (4025738)Instruction limit reached!
% 0.83/0.42 % (4025738)------------------------------
% 0.83/0.42 % (4025738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (4025738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (4025738)CaDiCaL version: 2.1.3
% 0.83/0.42 % (4025738)Termination reason: Instruction limit
% 0.83/0.42 % (4025738)Termination phase: Saturation
% 0.83/0.42 % (4025738)Time elapsed: 0.066 s
% 0.83/0.42 % (4025738)Peak memory usage: 13 MB
% 0.83/0.42 % (4025738)Instructions burned: 160 (million)
% 0.83/0.42 % (4025749)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=3760310267:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.83/0.42 % (4025748)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1143535860:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.83/0.42 % (4025749)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.83/0.42 % (4025737)Instruction limit reached!
% 0.83/0.42 % (4025737)------------------------------
% 0.83/0.42 % (4025737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (4025737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (4025737)CaDiCaL version: 2.1.3
% 0.83/0.42 % (4025737)Termination reason: Instruction limit
% 0.83/0.42 % (4025737)Termination phase: Property scanning
% 0.83/0.42 % (4025737)Time elapsed: 0.076 s
% 0.83/0.42 % (4025737)Peak memory usage: 11 MB
% 0.83/0.42 % (4025737)Instructions burned: 133 (million)
% 0.83/0.42 % (4025750)ott-21_1_sil=16000:fs=off:random_seed=2685492654:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.83/0.42 % (4025752)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=539623630:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.83/0.42 % (4025749)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.83/0.42 % (4025754)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3954413451:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.83/0.42 % (4025748)Instruction limit reached!
% 0.83/0.42 % (4025748)------------------------------
% 0.83/0.42 % (4025748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (4025748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (4025748)CaDiCaL version: 2.1.3
% 0.83/0.42 % (4025748)Termination reason: Instruction limit
% 0.83/0.42 % (4025748)Termination phase: Property scanning
% 0.83/0.42 % (4025748)Time elapsed: 0.055 s
% 0.83/0.42 % (4025748)Peak memory usage: 11 MB
% 0.83/0.42 % (4025748)Instructions burned: 134 (million)
% 0.83/0.42 % (4025733) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4025727-4025733"...
% 0.83/0.42 % (4025733)...printing done.
% 0.83/0.42 % (4025733)Refutation found. Thanks to Tanya!
% 0.83/0.42 % SZS status Theorem for theBenchmark
% 0.83/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.83/0.43 % (4025733)------------------------------
% 0.83/0.43 % (4025733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.43 % (4025733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.43 % (4025733)CaDiCaL version: 2.1.3
% 0.83/0.43 % (4025733)Termination reason: Refutation
% 0.83/0.43 % (4025733)Time elapsed: 0.136 s
% 0.83/0.43 % (4025733)Peak memory usage: 15 MB
% 0.83/0.43 % (4025733)Instructions burned: 314 (million)
% 0.83/0.43 % (4025727)Success in time 0.188 s
% 0.83/0.43 % Vampire exiting
%------------------------------------------------------------------------------