%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP077^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 08:08:14 AM UTC 2026
% Result : Theorem 0.63s 0.44s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 20 unt; 0 typ; 4 def)
% Number of atoms : 51 ( 20 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 69 ( 19 ~; 13 |; 0 &; 33 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 44 ( 43 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 323 ( 321 usr; 13 con; 0-4 aty)
% Number of variables : 2 ( 0 sgn 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,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_147,type,
vAND: $o > $o > $o ).
thf(func_def_148,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_149,type,
vIMP: $o > $o > $o ).
thf(func_def_150,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_151,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_152,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_153,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_154,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_155,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_156,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
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,
sK2: ( nat > nat ) > nat ).
thf(func_def_162,type,
sK3: ( nat > nat ) > nat ).
thf(func_def_163,type,
sK4: list_a > multis971982480list_a > multiset_list_a ).
thf(func_def_164,type,
sK5: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).
thf(func_def_165,type,
sK6: list_a > list_a > nat ).
thf(func_def_166,type,
sK7: list_set_set_a > ( nat > nat ) > list_set_set_a > nat ).
thf(func_def_167,type,
sK8: list_set_set_a > ( nat > nat ) > list_set_a > list_set_a ).
thf(func_def_168,type,
sK9: list_set_list_set_a > list_list_set_a > nat ).
thf(func_def_169,type,
sK10: nat > nat ).
thf(func_def_170,type,
sK11: list_set_a > list_set_a > nat ).
thf(func_def_171,type,
sK12: nat > nat ).
thf(func_def_172,type,
sK13: nat > nat ).
thf(func_def_173,type,
sK14: ( nat > nat ) > nat ).
thf(func_def_174,type,
sK15: ( nat > nat ) > nat ).
thf(func_def_175,type,
sK16: list_list_a > list_list_a > nat ).
thf(func_def_176,type,
sK17: list_set_set_a > list_set_set_set_a > nat ).
thf(func_def_177,type,
sK18: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_178,type,
sK19: set_multiset_a > list_set_multiset_a > multiset_a ).
thf(func_def_179,type,
sK20: list_multiset_a > set_multiset_a > list_set_multiset_a > list_multiset_a ).
thf(func_def_180,type,
sK21: set_multiset_a > list_set_multiset_a > list_multiset_a ).
thf(func_def_181,type,
sK22: ( list_set_list_a > $o ) > list_set_list_a ).
thf(func_def_182,type,
sK23: nat > ( nat > set_list_a > $o ) > set_list_a ).
thf(func_def_183,type,
sK24: list_set_list_a > ( nat > set_list_a > $o ) > nat > nat ).
thf(func_def_184,type,
sK25: ( nat > set_list_a > $o ) > nat > list_set_list_a ).
thf(func_def_185,type,
sK26: ( nat > set_list_a > $o ) > nat > nat ).
thf(func_def_186,type,
sK27: ( list_nat > $o ) > list_nat ).
thf(func_def_187,type,
sK28: list_set_nat > set_nat > list_nat ).
thf(func_def_188,type,
sK29: list_set_nat > set_nat > nat ).
thf(func_def_189,type,
sK30: list_nat > list_set_nat > set_nat > list_nat ).
thf(func_def_190,type,
sK31: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_191,type,
sK32: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_192,type,
sK33: nat > list_list_a ).
thf(func_def_193,type,
sK34: list_set_a > list_set_a > ( nat > nat ) > nat ).
thf(func_def_194,type,
sK35: ( nat > nat > $o ) > nat ).
thf(func_def_195,type,
sK36: ( nat > nat > $o ) > nat ).
thf(func_def_196,type,
sK37: ( nat > nat > $o ) > nat ).
thf(func_def_197,type,
sK38: ( nat > nat > $o ) > nat ).
thf(func_def_198,type,
sK39: set_nat > set_nat > nat > nat ).
thf(func_def_199,type,
sK40: nat > list_a ).
thf(func_def_200,type,
sK41: list_set_set_a > ( nat > nat ) > list_set_set_a > nat ).
thf(func_def_201,type,
sK42: ( list_set_set_a > $o ) > list_set_set_a ).
thf(func_def_202,type,
sK43: list_nat > list_nat > nat ).
thf(func_def_203,type,
sK44: list_nat > list_nat > ( nat > nat ) > nat ).
thf(func_def_204,type,
sK45: nat > list_nat ).
thf(func_def_205,type,
sK46: list_a > list_a > nat > nat ).
thf(func_def_206,type,
sK47: nat > nat ).
thf(func_def_207,type,
sK48: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_208,type,
sK49: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_209,type,
sK50: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_210,type,
sK51: list_multiset_a > list_set_multiset_a > nat ).
thf(func_def_211,type,
sK52: set_list_a > ( list_a > list_a ) > set_list_a > list_a ).
thf(func_def_212,type,
sK53: ( nat > nat ) > list_set_list_a > list_set_list_a > nat ).
thf(func_def_213,type,
sK54: nat > nat ).
thf(func_def_214,type,
sK55: nat > nat ).
thf(func_def_215,type,
sK56: nat > ( nat > list_a > $o ) > list_a ).
thf(func_def_216,type,
sK57: list_list_a > ( nat > list_a > $o ) > nat > nat ).
thf(func_def_217,type,
sK58: ( nat > list_a > $o ) > nat > list_list_a ).
thf(func_def_218,type,
sK59: ( nat > list_a > $o ) > nat > nat ).
thf(func_def_219,type,
sK60: nat > list_set_list_a ).
thf(func_def_220,type,
sK61: list_set_list_a > list_list_a > nat ).
thf(func_def_221,type,
sK62: list_set_set_a > list_set_set_a > nat ).
thf(func_def_222,type,
sK63: list_set_a > list_a > nat ).
thf(func_def_223,type,
sK64: nat > nat ).
thf(func_def_224,type,
sK65: nat > list_set_a ).
thf(func_def_225,type,
sK66: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_226,type,
sK67: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_227,type,
sK68: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_228,type,
sK69: list_a ).
thf(func_def_229,type,
sK70: nat > nat ).
thf(func_def_230,type,
sK71: list_a > set_list_a > ( list_a > $o ) > list_a ).
thf(func_def_231,type,
sK72: ( nat > nat ) > nat ).
thf(func_def_232,type,
sK73: ( nat > nat ) > nat ).
thf(func_def_233,type,
sK74: ( list_a > $o ) > list_a ).
thf(func_def_234,type,
sK75: ( nat > nat ) > nat ).
thf(func_def_235,type,
sK76: ( nat > nat ) > nat ).
thf(func_def_236,type,
sK77: set_a > set_a > a ).
thf(func_def_237,type,
sK78: set_list_a > set_a > ( list_a > a ) > list_a ).
thf(func_def_238,type,
sK79: set_nat > set_nat > nat > nat ).
thf(func_def_239,type,
sK80: ( list_set_a > $o ) > list_set_a > set_list_set_a > list_set_a ).
thf(func_def_240,type,
sK81: set_a > list_set_a > a ).
thf(func_def_241,type,
sK82: list_a > set_a > list_set_a > list_a ).
thf(func_def_242,type,
sK83: set_a > list_set_a > list_a ).
thf(func_def_243,type,
sK84: ( nat > nat ) > nat ).
thf(func_def_244,type,
sK85: ( nat > nat ) > nat ).
thf(func_def_245,type,
sK86: ( nat > nat ) > nat ).
thf(func_def_246,type,
sK87: ( nat > nat ) > nat ).
thf(func_def_247,type,
sK88: list_set_a > list_set_a > nat > nat ).
thf(func_def_248,type,
sK89: ( a > a ) > set_a > set_a > a ).
thf(func_def_249,type,
sK90: list_set_a > list_set_a > nat ).
thf(func_def_250,type,
sK91: list_set_list_a > list_set_list_a > nat ).
thf(func_def_251,type,
sK92: multiset_set_a > list_set_a ).
thf(func_def_252,type,
sK93: ( nat > $o ) > nat ).
thf(func_def_253,type,
sK94: nat > ( nat > $o ) > nat ).
thf(func_def_254,type,
sK95: nat > nat ).
thf(func_def_255,type,
sK96: nat > ( nat > set_set_a > $o ) > set_set_a ).
thf(func_def_256,type,
sK97: list_set_set_a > ( nat > set_set_a > $o ) > nat > nat ).
thf(func_def_257,type,
sK98: ( nat > set_set_a > $o ) > nat > list_set_set_a ).
thf(func_def_258,type,
sK99: ( nat > set_set_a > $o ) > nat > nat ).
thf(func_def_259,type,
sK100: nat > nat ).
thf(func_def_260,type,
sK101: nat > nat ).
thf(func_def_261,type,
sK102: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_262,type,
sK103: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_263,type,
sK104: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_264,type,
sK105: nat > nat ).
thf(func_def_265,type,
sK106: ( nat > nat ) > list_set_a > list_set_a > nat ).
thf(func_def_266,type,
sK107: ( nat > nat ) > list_set_a > list_a > list_a ).
thf(func_def_267,type,
sK108: list_set_list_a > ( nat > nat ) > list_set_set_list_a > list_set_list_a ).
thf(func_def_268,type,
sK109: ( nat > nat ) > list_set_set_list_a > list_set_set_list_a > nat ).
thf(func_def_269,type,
sK110: a > list_set_a > list_a ).
thf(func_def_270,type,
sK111: ( nat > nat ) > nat ).
thf(func_def_271,type,
sK112: ( nat > nat ) > nat ).
thf(func_def_272,type,
sK113: list_set_list_list_a > list_list_list_a > nat ).
thf(func_def_273,type,
sK114: list_set_list_a > ( nat > nat ) > list_set_list_a > nat ).
thf(func_def_274,type,
sK115: list_set_list_a > ( nat > nat ) > list_list_a > list_list_a ).
thf(func_def_275,type,
sK116: list_list_a > list_list_a > ( nat > nat ) > nat ).
thf(func_def_276,type,
sK117: nat > nat ).
thf(func_def_277,type,
sK118: nat > ( nat > set_a > $o ) > set_a ).
thf(func_def_278,type,
sK119: list_set_a > nat > ( nat > set_a > $o ) > nat ).
thf(func_def_279,type,
sK120: nat > ( nat > set_a > $o ) > list_set_a ).
thf(func_def_280,type,
sK121: nat > ( nat > set_a > $o ) > nat ).
thf(func_def_281,type,
sK122: ( nat > a > $o ) > nat > list_a ).
thf(func_def_282,type,
sK123: ( nat > a > $o ) > nat > nat ).
thf(func_def_283,type,
sK124: nat > ( nat > a > $o ) > a ).
thf(func_def_284,type,
sK125: list_a > ( nat > a > $o ) > nat > nat ).
thf(func_def_285,type,
sK126: list_set_set_a > list_set_a > nat ).
thf(func_def_286,type,
sK127: ( nat > nat > $o ) > nat ).
thf(func_def_287,type,
sK128: ( nat > nat > $o ) > nat ).
thf(func_def_288,type,
sK129: ( nat > nat > $o ) > nat ).
thf(func_def_289,type,
sK130: ( nat > nat > $o ) > nat ).
thf(func_def_290,type,
sK131: ( nat > nat > $o ) > nat ).
thf(func_def_291,type,
sK132: list_set_list_a > list_set_set_list_a > nat ).
thf(func_def_292,type,
sK133: ( nat > $o ) > nat ).
thf(func_def_293,type,
sK134: multiset_a > list_set_multiset_a > list_multiset_a ).
thf(func_def_294,type,
sK135: ( nat > nat ) > nat ).
thf(func_def_295,type,
sK136: ( nat > nat ) > nat ).
thf(func_def_296,type,
sK137: list_a ).
thf(func_def_297,type,
sK138: ( nat > nat > $o ) > nat > list_nat ).
thf(func_def_298,type,
sK139: ( nat > nat > $o ) > nat > nat ).
thf(func_def_299,type,
sK140: nat > ( nat > nat > $o ) > nat ).
thf(func_def_300,type,
sK141: list_nat > ( nat > nat > $o ) > nat > nat ).
thf(func_def_301,type,
sK142: list_set_nat > nat > list_nat ).
thf(func_def_302,type,
sK143: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_303,type,
sK144: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_304,type,
sK145: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_305,type,
sK146: ( a > list_a ) > set_list_a > set_a > a ).
thf(func_def_306,type,
sK147: list_set_nat > list_nat > nat ).
thf(func_def_307,type,
sK148: set_list_a > set_list_a > list_a ).
thf(func_def_308,type,
sK149: ( nat > nat ) > list_nat > list_set_nat > list_nat ).
thf(func_def_309,type,
sK150: ( nat > nat ) > list_set_nat > list_set_nat > nat ).
thf(func_def_310,type,
sK151: multiset_list_a > list_list_a ).
thf(func_def_311,type,
sK152: ( list_a > $o ) > ( list_a > $o ) > list_a ).
thf(func_def_312,type,
sK153: multiset_multiset_a > a > multiset_a ).
thf(func_def_313,type,
sK154: list_a > ( nat > nat ) > list_a > nat ).
thf(func_def_314,type,
sK155: multiset_a > list_a ).
thf(func_def_315,type,
sK156: nat > list_set_set_a ).
thf(func_def_316,type,
sK157: ( list_set_a > $o ) > list_set_a ).
thf(func_def_317,type,
sK158: ( nat > nat ) > list_set_set_a > list_set_set_set_a > list_set_set_a ).
thf(func_def_318,type,
sK159: list_set_set_set_a > ( nat > nat ) > list_set_set_set_a > nat ).
thf(f1,axiom,
( ( mset_a @ qs2 )
= ( mset_a @ qs ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_2_a) ).
thf(f25,axiom,
! [X0: list_a] :
( ( comm_m543484931mset_a @ ( mset_a @ X0 ) )
= ( groups1792256535list_a @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_sum__mset__sum__list) ).
thf(f354,conjecture,
( a3
= ( groups1792256535list_a @ qs2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f355,negated_conjecture,
( a3
!= ( groups1792256535list_a @ qs2 ) ),
inference(negated_conjecture,[status(cth)],[f354]) ).
thf(f929,plain,
( a3
!= ( groups1792256535list_a @ qs2 ) ),
inference(flattening,[],[f355]) ).
thf(f1827,plain,
( ( mset_a @ qs2 )
= ( mset_a @ qs ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f1829,plain,
! [X0: list_a] :
( ( groups1792256535list_a @ X0 )
= ( comm_m543484931mset_a @ ( mset_a @ X0 ) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f1984,plain,
( a3
= ( groups1792256535list_a @ qs ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f2137,plain,
( a3
!= ( groups1792256535list_a @ qs2 ) ),
inference(cnf_transformation,[],[f929]) ).
thf(f2560,definition,
( spl160_5
<=> ( a3
= ( groups1792256535list_a @ qs ) ) ),
introduced(definition,[new_symbols(definition,[spl160_5])],[avatar_definition]) ).
thf(f2562,plain,
( ( a3
= ( groups1792256535list_a @ qs ) )
| ~ spl160_5 ),
inference(avatar_component_clause,[],[f2560]) ).
thf(f2563,plain,
spl160_5,
inference(avatar_split_clause,[],[f1984,f2560]) ).
thf(f2673,definition,
( spl160_28
<=> ( ( mset_a @ qs2 )
= ( mset_a @ qs ) ) ),
introduced(definition,[new_symbols(definition,[spl160_28])],[avatar_definition]) ).
thf(f2675,plain,
( ( ( mset_a @ qs2 )
= ( mset_a @ qs ) )
| ~ spl160_28 ),
inference(avatar_component_clause,[],[f2673]) ).
thf(f2676,plain,
spl160_28,
inference(avatar_split_clause,[],[f1827,f2673]) ).
thf(f2713,definition,
( spl160_36
<=> ( a3
= ( groups1792256535list_a @ qs2 ) ) ),
introduced(definition,[new_symbols(definition,[spl160_36])],[avatar_definition]) ).
thf(f2715,plain,
( ( a3
!= ( groups1792256535list_a @ qs2 ) )
| spl160_36 ),
inference(avatar_component_clause,[],[f2713]) ).
thf(f2716,plain,
~ spl160_36,
inference(avatar_split_clause,[],[f2137,f2713]) ).
thf(f2772,plain,
( ( ( groups1792256535list_a @ qs )
!= ( groups1792256535list_a @ qs2 ) )
| ~ spl160_5
| spl160_36 ),
inference(forward_demodulation,[],[f2715,f2562]) ).
thf(f2774,definition,
( spl160_48
<=> ( ( groups1792256535list_a @ qs )
= ( groups1792256535list_a @ qs2 ) ) ),
introduced(definition,[new_symbols(definition,[spl160_48])],[avatar_definition]) ).
thf(f2777,plain,
( ~ spl160_48
| ~ spl160_5
| spl160_36 ),
inference(avatar_split_clause,[],[f2772,f2713,f2560,f2774]) ).
thf(f2791,plain,
( ( ( groups1792256535list_a @ qs2 )
= ( comm_m543484931mset_a @ ( mset_a @ qs ) ) )
| ~ spl160_28 ),
inference(superposition,[],[f1829,f2675]) ).
thf(f2792,plain,
( ( ( groups1792256535list_a @ qs )
= ( groups1792256535list_a @ qs2 ) )
| ~ spl160_28 ),
inference(forward_demodulation,[],[f2791,f1829]) ).
thf(f2793,plain,
( spl160_48
| ~ spl160_28 ),
inference(avatar_split_clause,[],[f2792,f2673,f2774]) ).
cnf(s5,plain,
spl160_5,
inference(sat_conversion,[],[f2563]) ).
cnf(s30,plain,
spl160_28,
inference(sat_conversion,[],[f2676]) ).
cnf(s40,plain,
~ spl160_36,
inference(sat_conversion,[],[f2716]) ).
cnf(s56,plain,
( ~ spl160_5
| spl160_36
| ~ spl160_48 ),
inference(sat_conversion,[],[f2777]) ).
cnf(s60,plain,
( ~ spl160_28
| spl160_48 ),
inference(sat_conversion,[],[f2793]) ).
cnf(s61,plain,
spl160_48,
inference(rat,[],[s60,s30]) ).
cnf(s62,plain,
~ spl160_5,
inference(rat,[],[s56,s40,s61]) ).
cnf(s63,plain,
$false,
inference(rat,[],[s5,s62]) ).
thf(f2794,plain,
$false,
inference(avatar_sat_refutation,[],[s63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP077^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n020.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:48:50 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.63/0.42 % (1504589)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.42 % (1504599)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1691709228:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.42 % (1504600)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.42 % (1504600)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.63/0.42 % (1504595)lrs+10_16_si=on:nwc=1.5:random_seed=1348212162:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.42 % (1504596)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2392627775:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.42 % (1504597)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=4201828760:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.63/0.42 % (1504598)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=133672043:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.42 % (1504600)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=4288262941:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.42 % (1504596)Instruction limit reached!
% 0.63/0.42 % (1504596)------------------------------
% 0.63/0.42 % (1504596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (1504596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (1504596)CaDiCaL version: 2.1.3
% 0.63/0.42 % (1504596)Termination reason: Instruction limit
% 0.63/0.42 % (1504596)Termination phase: shuffling
% 0.63/0.42 % (1504596)Time elapsed: 0.003 s
% 0.63/0.42 % (1504596)Peak memory usage: 10 MB
% 0.63/0.42 % (1504596)Instructions burned: 6 (million)
% 0.63/0.42 % (1504594)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1586308338:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.42 % (1504595)Instruction limit reached!
% 0.63/0.42 % (1504595)------------------------------
% 0.63/0.42 % (1504595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (1504595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (1504595)CaDiCaL version: 2.1.3
% 0.63/0.42 % (1504595)Termination reason: Instruction limit
% 0.63/0.42 % (1504595)Termination phase: shuffling
% 0.63/0.42 % (1504595)Time elapsed: 0.008 s
% 0.63/0.42 % (1504595)Peak memory usage: 10 MB
% 0.63/0.42 % (1504595)Instructions burned: 18 (million)
% 0.63/0.42 % (1504598)Instruction limit reached!
% 0.63/0.42 % (1504598)------------------------------
% 0.63/0.42 % (1504598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (1504598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (1504598)CaDiCaL version: 2.1.3
% 0.63/0.42 % (1504598)Termination reason: Instruction limit
% 0.63/0.42 % (1504598)Termination phase: shuffling
% 0.63/0.42 % (1504598)Time elapsed: 0.012 s
% 0.63/0.42 % (1504598)Peak memory usage: 10 MB
% 0.63/0.42 % (1504598)Instructions burned: 26 (million)
% 0.63/0.42 % (1504599)Instruction limit reached!
% 0.63/0.42 % (1504599)------------------------------
% 0.63/0.42 % (1504599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (1504599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (1504599)CaDiCaL version: 2.1.3
% 0.63/0.42 % (1504599)Termination reason: Instruction limit
% 0.63/0.42 % (1504599)Termination phase: Property scanning
% 0.63/0.42 % (1504599)Time elapsed: 0.020 s
% 0.63/0.42 % (1504599)Peak memory usage: 12 MB
% 0.63/0.42 % (1504599)Instructions burned: 81 (million)
% 0.63/0.42 % (1504607)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=217213347:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.42 % (1504611)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=881213845:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.44 % (1504607)Instruction limit reached!
% 0.63/0.44 % (1504607)------------------------------
% 0.63/0.44 % (1504607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (1504607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (1504607)CaDiCaL version: 2.1.3
% 0.63/0.44 % (1504607)Termination reason: Instruction limit
% 0.63/0.44 % (1504607)Termination phase: shuffling
% 0.63/0.44 % (1504607)Time elapsed: 0.003 s
% 0.63/0.44 % (1504607)Peak memory usage: 10 MB
% 0.63/0.44 % (1504607)Instructions burned: 5 (million)
% 0.63/0.44 % (1504610)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.44 % (1504609)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3453959488:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.44 % (1504611)Instruction limit reached!
% 0.63/0.44 % (1504611)------------------------------
% 0.63/0.44 % (1504611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (1504611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (1504611)CaDiCaL version: 2.1.3
% 0.63/0.44 % (1504611)Termination reason: Instruction limit
% 0.63/0.44 % (1504611)Termination phase: shuffling
% 0.63/0.44 % (1504611)Time elapsed: 0.004 s
% 0.63/0.44 % (1504611)Peak memory usage: 10 MB
% 0.63/0.44 % (1504611)Instructions burned: 16 (million)
% 0.63/0.44 % (1504610)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2998919390:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.44 % (1504609)Instruction limit reached!
% 0.63/0.44 % (1504609)------------------------------
% 0.63/0.44 % (1504609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (1504609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (1504609)CaDiCaL version: 2.1.3
% 0.63/0.44 % (1504609)Termination reason: Instruction limit
% 0.63/0.44 % (1504609)Termination phase: shuffling
% 0.63/0.44 % (1504609)Time elapsed: 0.003 s
% 0.63/0.44 % (1504609)Peak memory usage: 10 MB
% 0.63/0.44 % (1504609)Instructions burned: 5 (million)
% 0.63/0.44 % (1504610)Instruction limit reached!
% 0.63/0.44 % (1504610)------------------------------
% 0.63/0.44 % (1504610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (1504610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (1504610)CaDiCaL version: 2.1.3
% 0.63/0.44 % (1504610)Termination reason: Instruction limit
% 0.63/0.44 % (1504610)Termination phase: shuffling
% 0.63/0.44 % (1504610)Time elapsed: 0.004 s
% 0.63/0.44 % (1504610)Peak memory usage: 10 MB
% 0.63/0.44 % (1504610)Instructions burned: 9 (million)
% 0.63/0.44 % (1504616)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1251613561:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.44 % (1504615)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.63/0.44 % (1504615)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.44 % (1504615)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=781649693:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.44 % (1504618)lrs+10_1_si=on:cs=on:random_seed=3122813025:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.44 % (1504619)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.63/0.44 % (1504619)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2881751145:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.44 % (1504618)Instruction limit reached!
% 0.63/0.44 % (1504618)------------------------------
% 0.63/0.44 % (1504618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (1504618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (1504618)CaDiCaL version: 2.1.3
% 0.63/0.44 % (1504618)Termination reason: Instruction limit
% 0.63/0.44 % (1504618)Termination phase: shuffling
% 0.63/0.44 % (1504618)Time elapsed: 0.005 s
% 0.63/0.44 % (1504618)Peak memory usage: 10 MB
% 0.63/0.44 % (1504618)Instructions burned: 10 (million)
% 0.63/0.44 % (1504615)Instruction limit reached!
% 0.63/0.44 % (1504615)------------------------------
% 0.63/0.44 % (1504615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (1504615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (1504615)CaDiCaL version: 2.1.3
% 0.63/0.44 % (1504615)Termination reason: Instruction limit
% 0.63/0.44 % (1504615)Termination phase: shuffling
% 0.63/0.44 % (1504615)Time elapsed: 0.013 s
% 0.63/0.44 % (1504615)Peak memory usage: 11 MB
% 0.63/0.44 % (1504615)Instructions burned: 29 (million)
% 0.63/0.44 % (1504619)Instruction limit reached!
% 0.63/0.44 % (1504619)------------------------------
% 0.63/0.44 % (1504619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (1504619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (1504619)CaDiCaL version: 2.1.3
% 0.63/0.44 % (1504619)Termination reason: Instruction limit
% 0.63/0.44 % (1504619)Termination phase: shuffling
% 0.63/0.44 % (1504619)Time elapsed: 0.004 s
% 0.63/0.44 % (1504619)Peak memory usage: 10 MB
% 0.63/0.44 % (1504619)Instructions burned: 9 (million)
% 0.63/0.44 % (1504616)Instruction limit reached!
% 0.63/0.44 % (1504616)------------------------------
% 0.63/0.44 % (1504616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (1504616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (1504616)CaDiCaL version: 2.1.3
% 0.63/0.44 % (1504616)Termination reason: Instruction limit
% 0.63/0.44 % (1504616)Termination phase: Property scanning
% 0.63/0.44 % (1504616)Time elapsed: 0.021 s
% 0.63/0.44 % (1504616)Peak memory usage: 12 MB
% 0.63/0.44 % (1504616)Instructions burned: 89 (million)
% 0.63/0.44 % (1504600)Instruction limit reached!
% 0.63/0.44 % (1504600)------------------------------
% 0.63/0.44 % (1504600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (1504600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (1504600)CaDiCaL version: 2.1.3
% 0.63/0.44 % (1504600)Termination reason: Instruction limit
% 0.63/0.44 % (1504600)Termination phase: Saturation
% 0.63/0.44 % (1504600)Time elapsed: 0.068 s
% 0.63/0.44 % (1504600)Peak memory usage: 14 MB
% 0.63/0.44 % (1504600)Instructions burned: 158 (million)
% 0.63/0.44 % (1504627)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3486576431:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.44 % (1504624)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3515472793:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.63/0.44 % (1504627)Instruction limit reached!
% 0.63/0.44 % (1504627)------------------------------
% 0.63/0.44 % (1504627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (1504627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (1504627)CaDiCaL version: 2.1.3
% 0.63/0.44 % (1504627)Termination reason: Instruction limit
% 0.63/0.44 % (1504627)Termination phase: shuffling
% 0.63/0.44 % (1504627)Time elapsed: 0.004 s
% 0.63/0.44 % (1504627)Peak memory usage: 10 MB
% 0.63/0.44 % (1504627)Instructions burned: 17 (million)
% 0.63/0.44 % (1504625)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2905688997:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.63/0.44 % (1504626)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=333949154:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.63/0.44 % (1504594)Instruction limit reached!
% 0.63/0.44 % (1504594)------------------------------
% 0.63/0.44 % (1504594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (1504594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (1504594)CaDiCaL version: 2.1.3
% 0.63/0.44 % (1504594)Termination reason: Instruction limit
% 0.63/0.44 % (1504594)Termination phase: Property scanning
% 0.63/0.44 % (1504594)Time elapsed: 0.076 s
% 0.63/0.44 % (1504594)Peak memory usage: 12 MB
% 0.63/0.44 % (1504594)Instructions burned: 88 (million)
% 0.63/0.44 % (1504631)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3189369702:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.44 % (1504628)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1986746386:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.63/0.44 % (1504626)Instruction limit reached!
% 0.63/0.44 % (1504626)------------------------------
% 0.63/0.44 % (1504626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (1504626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (1504626)CaDiCaL version: 2.1.3
% 0.63/0.44 % (1504626)Termination reason: Instruction limit
% 0.63/0.44 % (1504626)Termination phase: shuffling
% 0.63/0.44 % (1504626)Time elapsed: 0.012 s
% 0.63/0.44 % (1504626)Peak memory usage: 10 MB
% 0.63/0.44 % (1504626)Instructions burned: 26 (million)
% 0.63/0.44 % (1504631)Instruction limit reached!
% 0.63/0.44 % (1504631)------------------------------
% 0.63/0.44 % (1504631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (1504631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (1504631)CaDiCaL version: 2.1.3
% 0.63/0.44 % (1504631)Termination reason: Instruction limit
% 0.63/0.44 % (1504631)Termination phase: shuffling
% 0.63/0.44 % (1504631)Time elapsed: 0.004 s
% 0.63/0.44 % (1504631)Peak memory usage: 10 MB
% 0.63/0.44 % (1504631)Instructions burned: 19 (million)
% 0.63/0.44 % (1504624)Instruction limit reached!
% 0.63/0.44 % (1504624)------------------------------
% 0.63/0.44 % (1504624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (1504624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (1504624)CaDiCaL version: 2.1.3
% 0.63/0.44 % (1504624)Termination reason: Instruction limit
% 0.63/0.44 % (1504624)Termination phase: Property scanning
% 0.63/0.44 % (1504624)Time elapsed: 0.017 s
% 0.63/0.44 % (1504624)Peak memory usage: 11 MB
% 0.63/0.44 % (1504624)Instructions burned: 39 (million)
% 0.63/0.44 % (1504597) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1504589-1504597"...
% 0.63/0.44 % (1504597)...printing done.
% 0.63/0.44 % (1504638)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3268148752:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.63/0.44 % (1504597)Refutation found. Thanks to Tanya!
% 0.63/0.44 % SZS status Theorem for theBenchmark
% 0.63/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.63/0.44 % (1504597)------------------------------
% 0.63/0.44 % (1504597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (1504597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (1504597)CaDiCaL version: 2.1.3
% 0.63/0.44 % (1504597)Termination reason: Refutation
% 0.63/0.44 % (1504597)Time elapsed: 0.100 s
% 0.63/0.44 % (1504597)Peak memory usage: 15 MB
% 0.63/0.44 % (1504597)Instructions burned: 215 (million)
% 0.63/0.44 % (1504589)Success in time 0.164 s
% 0.63/0.44 % Vampire exiting
%------------------------------------------------------------------------------