%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP166^1 : 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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:38 AM UTC 2026
% Result : Theorem 0.65s 0.40s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 25 unt; 0 typ; 4 def)
% Number of atoms : 198 ( 42 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 354 ( 49 ~; 36 |; 12 &; 253 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 28 ( 27 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 215 ( 212 usr; 13 con; 0-8 aty)
% Number of variables : 14 ( 0 sgn 6 !; 8 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr1333062727ar_int: $tType ).
thf(type_def_6,type,
produc1346207591ar_int: $tType ).
thf(type_def_7,type,
set_li1762364675ar_int: $tType ).
thf(type_def_8,type,
set_Pr446800905yperep: $tType ).
thf(type_def_9,type,
list_P1741976099ar_int: $tType ).
thf(type_def_10,type,
set_Pr1148378109ar_int: $tType ).
thf(type_def_11,type,
set_Pr1560408065st_nat: $tType ).
thf(type_def_12,type,
produc490010537yperep: $tType ).
thf(type_def_13,type,
produc1260470173ar_int: $tType ).
thf(type_def_14,type,
produc1699244961st_nat: $tType ).
thf(type_def_15,type,
set_Pr1097818217yperep: $tType ).
thf(type_def_16,type,
set_Pr1986765409at_nat: $tType ).
thf(type_def_17,type,
produc1788831497yperep: $tType ).
thf(type_def_18,type,
product_prod_nat_nat: $tType ).
thf(type_def_19,type,
set_list_typerep: $tType ).
thf(type_def_20,type,
list_typerep: $tType ).
thf(type_def_21,type,
set_typerep: $tType ).
thf(type_def_22,type,
list_char: $tType ).
thf(type_def_23,type,
list_nat: $tType ).
thf(type_def_24,type,
set_nat: $tType ).
thf(type_def_25,type,
typerep: $tType ).
thf(type_def_26,type,
literal: $tType ).
thf(type_def_27,type,
bexp: $tType ).
thf(type_def_28,type,
aexp: $tType ).
thf(type_def_29,type,
nat: $tType ).
thf(type_def_30,type,
int: $tType ).
thf(type_def_31,type,
com: $tType ).
thf(type_def_32,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bval: bexp > ( list_char > int ) > $o ).
thf(func_def_1,type,
bNF_Gr457912949yperep: set_list_typerep > typerep > set_list_typerep ).
thf(func_def_2,type,
bNF_Gr1303086585yperep: set_list_typerep > list_typerep > set_typerep ).
thf(func_def_3,type,
bNF_Gr202451329ar_int: set_Pr1148378109ar_int > ( produc1260470173ar_int > com ) > ( produc1260470173ar_int > list_char > int ) > set_Pr1148378109ar_int ).
thf(func_def_4,type,
bNF_Gr749752805at_nat: set_Pr1148378109ar_int > ( produc1260470173ar_int > nat ) > ( produc1260470173ar_int > nat ) > set_Pr1986765409at_nat ).
thf(func_def_5,type,
bNF_Gr1247133574at_nat: set_Pr1986765409at_nat > ( nat > nat ) > set_Pr1986765409at_nat ).
thf(func_def_6,type,
bNF_Gr808751971at_nat: set_nat > set_Pr1986765409at_nat > ( nat > nat ) > set_Pr1986765409at_nat ).
thf(func_def_7,type,
bNF_Gr1143394412nt_nat: set_Pr1148378109ar_int > set_Pr1986765409at_nat > ( produc1260470173ar_int > nat ) > set_Pr1333062727ar_int ).
thf(func_def_8,type,
big_big_step: produc1260470173ar_int > ( list_char > int ) > $o ).
thf(func_def_9,type,
assign: list_char > aexp > com ).
thf(func_def_10,type,
if: bexp > com > com > com ).
thf(func_def_11,type,
skip: com ).
thf(func_def_12,type,
seq: com > com > com ).
thf(func_def_13,type,
while: bexp > com > com ).
thf(func_def_14,type,
size_com: com > nat ).
thf(func_def_15,type,
unique1592618082ux_nat: product_prod_nat_nat > $o ).
thf(func_def_16,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_17,type,
zero_zero_nat: nat ).
thf(func_def_18,type,
append_nat: list_nat > list_nat > list_nat ).
thf(func_def_19,type,
append_typerep: list_typerep > list_typerep > list_typerep ).
thf(func_def_20,type,
gen_length_typerep: nat > list_typerep > nat ).
thf(func_def_21,type,
lex_nat: set_Pr1986765409at_nat > set_Pr1560408065st_nat ).
thf(func_def_22,type,
lex_typerep: set_Pr1097818217yperep > set_Pr446800905yperep ).
thf(func_def_23,type,
lexord_nat: set_Pr1986765409at_nat > set_Pr1560408065st_nat ).
thf(func_def_24,type,
lexord_typerep: set_Pr1097818217yperep > set_Pr446800905yperep ).
thf(func_def_25,type,
cons_nat: nat > list_nat > list_nat ).
thf(func_def_26,type,
cons_P1254790739ar_int: produc1260470173ar_int > list_P1741976099ar_int > list_P1741976099ar_int ).
thf(func_def_27,type,
cons_typerep: typerep > list_typerep > list_typerep ).
thf(func_def_28,type,
size_list_typerep: ( typerep > nat ) > list_typerep > nat ).
thf(func_def_29,type,
listrel1_nat: set_Pr1986765409at_nat > set_Pr1560408065st_nat ).
thf(func_def_30,type,
listrel1_typerep: set_Pr1097818217yperep > set_Pr446800905yperep ).
thf(func_def_31,type,
set_Co1954412371ar_int: set_Pr1148378109ar_int > set_li1762364675ar_int > set_li1762364675ar_int ).
thf(func_def_32,type,
set_Cons_typerep: set_typerep > set_list_typerep > set_list_typerep ).
thf(func_def_33,type,
suc: nat > nat ).
thf(func_def_34,type,
size_size_com: com > nat ).
thf(func_def_35,type,
size_size_list_nat: list_nat > nat ).
thf(func_def_36,type,
size_s416147576yperep: list_typerep > nat ).
thf(func_def_37,type,
size_size_typerep: typerep > nat ).
thf(func_def_38,type,
produc1193801173ar_int: com > ( list_char > int ) > produc1260470173ar_int ).
thf(func_def_39,type,
produc1625736153st_nat: list_nat > list_nat > produc1699244961st_nat ).
thf(func_def_40,type,
produc1695567329yperep: list_typerep > list_typerep > produc490010537yperep ).
thf(func_def_41,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_42,type,
produc317451735ar_int: produc1260470173ar_int > produc1260470173ar_int > produc1346207591ar_int ).
thf(func_def_43,type,
produc2071514689yperep: typerep > typerep > produc1788831497yperep ).
thf(func_def_44,type,
relati186416454e_flip: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > ( list_char > int ) > $o ).
thf(func_def_45,type,
relati23543761ar_int: ( ( list_char > int ) > ( list_char > int ) > $o ) > bexp > com > nat > ( list_char > int ) > ( list_char > int ) > $o ).
thf(func_def_46,type,
relati2102071307_hoare: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > $o ).
thf(func_def_47,type,
relati775585786_valid: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > $o ).
thf(func_def_48,type,
collec672902542ar_int: ( list_P1741976099ar_int > $o ) > set_li1762364675ar_int ).
thf(func_def_49,type,
collect_list_typerep: ( list_typerep > $o ) > set_list_typerep ).
thf(func_def_50,type,
collec770796680ar_int: ( produc1260470173ar_int > $o ) > set_Pr1148378109ar_int ).
thf(func_def_51,type,
collec7649004at_nat: ( product_prod_nat_nat > $o ) > set_Pr1986765409at_nat ).
thf(func_def_52,type,
collec1834387154ar_int: ( produc1346207591ar_int > $o ) > set_Pr1333062727ar_int ).
thf(func_def_53,type,
typerep2: literal > list_typerep > typerep ).
thf(func_def_54,type,
size_typerep: typerep > nat ).
thf(func_def_55,type,
member2052091212ar_int: list_P1741976099ar_int > set_li1762364675ar_int > $o ).
thf(func_def_56,type,
member_list_typerep: list_typerep > set_list_typerep > $o ).
thf(func_def_57,type,
member_nat: nat > set_nat > $o ).
thf(func_def_58,type,
member92250950ar_int: produc1260470173ar_int > set_Pr1148378109ar_int > $o ).
thf(func_def_59,type,
member1926390090st_nat: produc1699244961st_nat > set_Pr1560408065st_nat > $o ).
thf(func_def_60,type,
member1812711762yperep: produc490010537yperep > set_Pr446800905yperep > $o ).
thf(func_def_61,type,
member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).
thf(func_def_62,type,
member100911538yperep: produc1788831497yperep > set_Pr1097818217yperep > $o ).
thf(func_def_63,type,
member_typerep: typerep > set_typerep > $o ).
thf(func_def_64,type,
p: ( list_char > int ) > ( list_char > int ) > $o ).
thf(func_def_65,type,
q: ( list_char > int ) > ( list_char > int ) > $o ).
thf(func_def_66,type,
b: bexp ).
thf(func_def_67,type,
c: com ).
thf(func_def_68,type,
c2: com ).
thf(func_def_69,type,
k: nat ).
thf(func_def_70,type,
ka: nat ).
thf(func_def_71,type,
s: list_char > int ).
thf(func_def_72,type,
s_a: list_char > int ).
thf(func_def_73,type,
s2: list_char > int ).
thf(func_def_74,type,
sa: list_char > int ).
thf(func_def_75,type,
t: list_char > int ).
thf(func_def_76,type,
t_a: list_char > int ).
thf(func_def_77,type,
t2: list_char > int ).
thf(func_def_78,type,
ta: list_char > int ).
thf(func_def_79,type,
u: list_char > int ).
thf(func_def_80,type,
ua: list_char > int ).
thf(func_def_84,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_85,type,
vAND: $o > $o > $o ).
thf(func_def_86,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_87,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_88,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_89,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_90,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_91,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_92,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_93,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_94,type,
vOR: $o > $o > $o ).
thf(func_def_95,type,
vNOT: $o > $o ).
thf(func_def_96,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_97,type,
vIMP: $o > $o > $o ).
thf(func_def_98,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_99,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_100,type,
sP0: ( com > $o ) > $o ).
thf(func_def_101,type,
sK1: product_prod_nat_nat > nat ).
thf(func_def_102,type,
sK2: product_prod_nat_nat > nat ).
thf(func_def_103,type,
sK3: ( nat > nat > $o ) > nat ).
thf(func_def_104,type,
sK4: ( nat > nat > $o ) > nat ).
thf(func_def_105,type,
sK5: ( nat > nat > $o ) > nat ).
thf(func_def_106,type,
sK6: ( nat > nat > $o ) > nat ).
thf(func_def_107,type,
sK7: set_Pr1986765409at_nat > nat ).
thf(func_def_108,type,
sK8: com > com > list_char > int ).
thf(func_def_109,type,
sK9: com > com > list_char > int ).
thf(func_def_110,type,
sK10: com > com > list_char > int ).
thf(func_def_111,type,
sK11: com > com > list_char > int ).
thf(func_def_112,type,
sK12: ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > com > bexp > nat ).
thf(func_def_113,type,
sK13: list_typerep > nat > typerep ).
thf(func_def_114,type,
sK14: list_typerep > nat > list_typerep ).
thf(func_def_115,type,
sK15: ( list_char > int ) > bexp > ( list_char > int ) > com > list_char > int ).
thf(func_def_116,type,
sK16: produc1260470173ar_int > com ).
thf(func_def_117,type,
sK17: produc1260470173ar_int > list_char > int ).
thf(func_def_118,type,
sK18: com > bexp > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > nat ).
thf(func_def_119,type,
sK19: ( nat > $o ) > nat ).
thf(func_def_120,type,
sK20: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_121,type,
sK21: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_122,type,
sK22: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_123,type,
sK23: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_124,type,
sK24: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_125,type,
sK25: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_126,type,
sK26: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_127,type,
sK27: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_128,type,
sK28: ( produc1260470173ar_int > $o ) > com ).
thf(func_def_129,type,
sK29: ( produc1260470173ar_int > $o ) > list_char > int ).
thf(func_def_130,type,
sK30: set_Pr1097818217yperep > typerep ).
thf(func_def_131,type,
sK31: ( nat > $o ) > nat ).
thf(func_def_132,type,
sK32: nat > list_typerep > typerep ).
thf(func_def_133,type,
sK33: nat > list_typerep > list_typerep ).
thf(func_def_134,type,
sK34: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_135,type,
sK35: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_136,type,
sK36: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_137,type,
sK37: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_138,type,
sK38: ( com > $o ) > com ).
thf(func_def_139,type,
sK39: ( com > $o ) > com ).
thf(func_def_140,type,
sK40: ( com > $o ) > aexp ).
thf(func_def_141,type,
sK41: ( com > $o ) > list_char ).
thf(func_def_142,type,
sK42: ( com > $o ) > bexp ).
thf(func_def_143,type,
sK43: ( com > $o ) > com ).
thf(func_def_144,type,
sK44: ( com > $o ) > com ).
thf(func_def_145,type,
sK45: ( com > $o ) > com ).
thf(func_def_146,type,
sK46: ( com > $o ) > bexp ).
thf(func_def_147,type,
sK47: set_Pr1986765409at_nat > list_nat > nat > list_nat > list_nat ).
thf(func_def_148,type,
sK48: set_Pr1986765409at_nat > list_nat > nat > list_nat > nat ).
thf(func_def_149,type,
sK49: product_prod_nat_nat > nat ).
thf(func_def_150,type,
sK50: product_prod_nat_nat > nat ).
thf(func_def_151,type,
sK51: com > com > list_char > int ).
thf(func_def_152,type,
sK52: com > com > list_char > int ).
thf(func_def_153,type,
sK53: ( produc1260470173ar_int > $o ) > list_char > int ).
thf(func_def_154,type,
sK54: ( produc1260470173ar_int > $o ) > com ).
thf(func_def_155,type,
sK55: ( nat > nat > $o ) > nat ).
thf(func_def_156,type,
sK56: ( nat > nat > $o ) > nat ).
thf(func_def_157,type,
sK57: ( nat > nat > $o ) > nat ).
thf(func_def_158,type,
sK58: ( nat > nat > $o ) > nat ).
thf(func_def_159,type,
sK59: ( nat > nat > $o ) > nat ).
thf(func_def_160,type,
sK60: com > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_161,type,
sK61: com > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_162,type,
sK62: ( list_char > int ) > ( list_char > int ) > list_char > int ).
thf(func_def_163,type,
sK63: ( list_char > int ) > ( list_char > int ) > list_char > int ).
thf(func_def_164,type,
sK64: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_165,type,
sK65: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_166,type,
sK66: com > nat > ( list_char > int ) > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > bexp > ( list_char > int ) > com > list_char > int ).
thf(func_def_167,type,
sK67: com > nat > ( list_char > int ) > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > bexp > ( list_char > int ) > com > list_char > int ).
thf(func_def_168,type,
sK68: com > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > bexp > nat ).
thf(func_def_169,type,
sK69: com > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > bexp > list_char > int ).
thf(func_def_170,type,
sK70: com > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > bexp > list_char > int ).
thf(func_def_171,type,
sK71: com > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > bexp > ( ( list_char > int ) > ( list_char > int ) > $o ) > com > list_char > int ).
thf(func_def_172,type,
sK72: com > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > bexp > ( ( list_char > int ) > ( list_char > int ) > $o ) > com > list_char > int ).
thf(func_def_173,type,
sK73: list_nat > list_nat > set_Pr1986765409at_nat > nat > nat ).
thf(func_def_174,type,
sK74: list_nat > list_nat > set_Pr1986765409at_nat > nat > list_nat ).
thf(func_def_175,type,
sK75: ( list_char > int ) > com > com > ( list_char > int ) > list_char > int ).
thf(func_def_176,type,
sK76: ( nat > $o ) > nat ).
thf(func_def_177,type,
sK77: com > com > list_char > int ).
thf(func_def_178,type,
sK78: com > com > list_char > int ).
thf(func_def_179,type,
sK79: typerep > list_typerep > list_typerep > set_Pr1097818217yperep > typerep ).
thf(func_def_180,type,
sK80: typerep > list_typerep > list_typerep > set_Pr1097818217yperep > list_typerep ).
thf(func_def_181,type,
sK81: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_182,type,
sK82: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_183,type,
sK83: set_Pr1986765409at_nat > nat ).
thf(func_def_184,type,
sK84: nat > nat ).
thf(func_def_185,type,
sK85: com > list_char ).
thf(func_def_186,type,
sK86: com > aexp ).
thf(func_def_187,type,
sK87: com > com ).
thf(func_def_188,type,
sK88: com > bexp ).
thf(func_def_189,type,
sK89: com > com ).
thf(func_def_190,type,
sK90: com > bexp ).
thf(func_def_191,type,
sK91: com > com ).
thf(func_def_192,type,
sK92: com > com ).
thf(func_def_193,type,
sK93: com > com ).
thf(func_def_194,type,
sK94: list_typerep > list_typerep > typerep > set_Pr1097818217yperep > typerep ).
thf(func_def_195,type,
sK95: list_typerep > list_typerep > typerep > set_Pr1097818217yperep > list_typerep ).
thf(func_def_196,type,
sK96: produc1260470173ar_int > list_char > int ).
thf(func_def_197,type,
sK97: produc1260470173ar_int > com ).
thf(func_def_198,type,
sK98: set_Pr1986765409at_nat > nat ).
thf(func_def_199,type,
sK99: set_Pr1986765409at_nat > nat ).
thf(func_def_200,type,
sK100: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_201,type,
sK101: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_202,type,
sK102: com > com > list_char > int ).
thf(func_def_203,type,
sK103: com > com > list_char > int ).
thf(func_def_204,type,
sK104: com > com > list_char > int ).
thf(func_def_205,type,
sK105: com > com > list_char > int ).
thf(func_def_206,type,
sK106: com > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_207,type,
sK107: com > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_208,type,
sK108: nat > nat ).
thf(func_def_210,type,
inv_suc_110: nat > nat ).
thf(f1,axiom,
bval @ b @ sa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Suc_Oprems_I6_J) ).
thf(f3,axiom,
big_big_step @ ( produc1193801173ar_int @ c @ sa ) @ ta,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_Suc_Oprems_I3_J) ).
thf(f4,axiom,
big_big_step @ ( produc1193801173ar_int @ c2 @ s_a ) @ t_a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_Suc_Oprems_I4_J) ).
thf(f5,axiom,
relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ sa @ s_a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_Suc_Oprems_I7_J) ).
thf(f222,conjecture,
? [X0: list_char > int,X1: list_char > int] :
( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ X0 @ X1 )
& ( bval @ b @ X0 )
& ( big_big_step @ ( produc1193801173ar_int @ c @ X0 ) @ ta )
& ( big_big_step @ ( produc1193801173ar_int @ c2 @ X1 ) @ t_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f223,negated_conjecture,
~ ? [X0: list_char > int,X1: list_char > int] :
( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ X0 @ X1 )
& ( bval @ b @ X0 )
& ( big_big_step @ ( produc1193801173ar_int @ c @ X0 ) @ ta )
& ( big_big_step @ ( produc1193801173ar_int @ c2 @ X1 ) @ t_a ) ),
inference(negated_conjecture,[status(cth)],[f222]) ).
thf(f371,plain,
big_big_step @ ( produc1193801173ar_int @ c @ sa ) @ ta,
inference(rectify,[],[f3]) ).
thf(f372,plain,
( ( big_big_step @ ( produc1193801173ar_int @ c @ sa ) @ ta )
= $true ),
inference(fool_elimination,[],[f371]) ).
thf(f388,plain,
bval @ b @ sa,
inference(rectify,[],[f1]) ).
thf(f389,plain,
( ( bval @ b @ sa )
= $true ),
inference(fool_elimination,[],[f388]) ).
thf(f412,plain,
big_big_step @ ( produc1193801173ar_int @ c2 @ s_a ) @ t_a,
inference(rectify,[],[f4]) ).
thf(f413,plain,
( ( big_big_step @ ( produc1193801173ar_int @ c2 @ s_a ) @ t_a )
= $true ),
inference(fool_elimination,[],[f412]) ).
thf(f430,plain,
relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ sa @ s_a,
inference(rectify,[],[f5]) ).
thf(f431,plain,
( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ sa @ s_a )
= $true ),
inference(fool_elimination,[],[f430]) ).
thf(f485,plain,
~ ? [X0: list_char > int,X1: list_char > int] :
( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ X0 @ X1 )
& ( bval @ b @ X0 )
& ( big_big_step @ ( produc1193801173ar_int @ c @ X0 ) @ ta )
& ( big_big_step @ ( produc1193801173ar_int @ c2 @ X1 ) @ t_a ) ),
inference(rectify,[],[f223]) ).
thf(f486,plain,
~ ? [X0: list_char > int,X1: list_char > int] :
( ( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ X0 @ X1 )
= $true )
& ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ X1 ) @ t_a )
= $true )
& ( ( big_big_step @ ( produc1193801173ar_int @ c @ X0 ) @ ta )
= $true )
& ( ( bval @ b @ X0 )
= $true ) ),
inference(fool_elimination,[],[f485]) ).
thf(f588,plain,
! [X1: list_char > int,X0: list_char > int] :
( ( ( bval @ b @ X0 )
!= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ X1 ) @ t_a )
!= $true )
| ( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ X0 @ X1 )
!= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ X0 ) @ ta )
!= $true ) ),
inference(ennf_transformation,[],[f486]) ).
thf(f783,plain,
! [X0: list_char > int,X1: list_char > int] :
( ( ( bval @ b @ X1 )
!= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ X0 ) @ t_a )
!= $true )
| ( $true
!= ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ X1 @ X0 ) )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ X1 ) @ ta )
!= $true ) ),
inference(rectify,[],[f588]) ).
thf(f1082,plain,
( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ sa @ s_a )
= $true ),
inference(cnf_transformation,[],[f431]) ).
thf(f1084,plain,
( ( big_big_step @ ( produc1193801173ar_int @ c @ sa ) @ ta )
= $true ),
inference(cnf_transformation,[],[f372]) ).
thf(f1085,plain,
! [X0: list_char > int,X1: list_char > int] :
( ( $true
!= ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ X1 @ X0 ) )
| ( ( bval @ b @ X1 )
!= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ X1 ) @ ta )
!= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ X0 ) @ t_a )
!= $true ) ),
inference(cnf_transformation,[],[f783]) ).
thf(f1103,plain,
( ( bval @ b @ sa )
= $true ),
inference(cnf_transformation,[],[f389]) ).
thf(f1106,plain,
( ( big_big_step @ ( produc1193801173ar_int @ c2 @ s_a ) @ t_a )
= $true ),
inference(cnf_transformation,[],[f413]) ).
thf(f1454,definition,
( spl109_2
<=> ( ( big_big_step @ ( produc1193801173ar_int @ c @ sa ) @ ta )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl109_2])],[avatar_definition]) ).
thf(f1456,plain,
( ( ( big_big_step @ ( produc1193801173ar_int @ c @ sa ) @ ta )
= $true )
| ~ spl109_2 ),
inference(avatar_component_clause,[],[f1454]) ).
thf(f1457,plain,
spl109_2,
inference(avatar_split_clause,[],[f1084,f1454]) ).
thf(f1482,definition,
( spl109_8
<=> ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ s_a ) @ t_a )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl109_8])],[avatar_definition]) ).
thf(f1484,plain,
( ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ s_a ) @ t_a )
= $true )
| ~ spl109_8 ),
inference(avatar_component_clause,[],[f1482]) ).
thf(f1485,plain,
spl109_8,
inference(avatar_split_clause,[],[f1106,f1482]) ).
thf(f1502,definition,
( spl109_12
<=> ( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ sa @ s_a )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl109_12])],[avatar_definition]) ).
thf(f1504,plain,
( ( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ sa @ s_a )
= $true )
| ~ spl109_12 ),
inference(avatar_component_clause,[],[f1502]) ).
thf(f1505,plain,
spl109_12,
inference(avatar_split_clause,[],[f1082,f1502]) ).
thf(f1517,definition,
( spl109_15
<=> ( ( bval @ b @ sa )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl109_15])],[avatar_definition]) ).
thf(f1519,plain,
( ( ( bval @ b @ sa )
= $true )
| ~ spl109_15 ),
inference(avatar_component_clause,[],[f1517]) ).
thf(f1520,plain,
spl109_15,
inference(avatar_split_clause,[],[f1103,f1517]) ).
thf(f1753,plain,
( ( ( bval @ b @ sa )
!= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ s_a ) @ t_a )
!= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ sa ) @ ta )
!= $true )
| ( $true != $true )
| ~ spl109_12 ),
inference(superposition,[],[f1085,f1504]) ).
thf(f1754,plain,
( ( ( bval @ b @ sa )
!= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ sa ) @ ta )
!= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ s_a ) @ t_a )
!= $true )
| ~ spl109_12 ),
inference(trivial_inequality_removal,[],[f1753]) ).
thf(f1755,plain,
( ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ s_a ) @ t_a )
!= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ sa ) @ ta )
!= $true )
| ~ spl109_12
| ~ spl109_15 ),
inference(forward_subsumption_resolution,[],[f1754,f1519]) ).
thf(f1756,plain,
( ( ( big_big_step @ ( produc1193801173ar_int @ c @ sa ) @ ta )
!= $true )
| ~ spl109_8
| ~ spl109_12
| ~ spl109_15 ),
inference(forward_subsumption_resolution,[],[f1755,f1484]) ).
thf(f1757,plain,
( $false
| ~ spl109_2
| ~ spl109_8
| ~ spl109_12
| ~ spl109_15 ),
inference(forward_subsumption_resolution,[],[f1756,f1456]) ).
thf(f1758,plain,
( ~ spl109_2
| ~ spl109_8
| ~ spl109_12
| ~ spl109_15 ),
inference(avatar_contradiction_clause,[],[f1757]) ).
cnf(s2,plain,
spl109_2,
inference(sat_conversion,[],[f1457]) ).
cnf(s7,plain,
spl109_8,
inference(sat_conversion,[],[f1485]) ).
cnf(s11,plain,
spl109_12,
inference(sat_conversion,[],[f1505]) ).
cnf(s14,plain,
spl109_15,
inference(sat_conversion,[],[f1520]) ).
cnf(s42,plain,
( ~ spl109_2
| ~ spl109_8
| ~ spl109_12
| ~ spl109_15 ),
inference(sat_conversion,[],[f1758]) ).
cnf(s44,plain,
~ spl109_2,
inference(rat,[],[s42,s14,s11,s7]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s2,s44]) ).
thf(f1759,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP166^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.20 % Computer : n001.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Tue Sep 29 20:10:36 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running higher-order theorem proving
% 0.11/0.26 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
% 0.65/0.39 % (1749874)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.65/0.39 % (1749884)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3153724050:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.65/0.39 % (1749885)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.65/0.39 % (1749885)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
% 0.65/0.39 % (1749883)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1652621267:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.65/0.39 % (1749881)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4124655854:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.65/0.39 % (1749880)lrs+10_16_si=on:nwc=1.5:random_seed=294069608:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.65/0.39 % (1749879)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1649178156:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.65/0.39 % (1749882)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=2760630549: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)
% 0.65/0.39 % (1749885)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=637869321:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.65/0.39 % (1749881)Instruction limit reached!
% 0.65/0.39 % (1749881)------------------------------
% 0.65/0.39 % (1749881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.39 % (1749881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.39 % (1749881)CaDiCaL version: 2.1.3
% 0.65/0.39 % (1749881)Termination reason: Instruction limit
% 0.65/0.39 % (1749881)Termination phase: shuffling
% 0.65/0.39 % (1749881)Time elapsed: 0.002 s
% 0.65/0.39 % (1749881)Peak memory usage: 10 MB
% 0.65/0.39 % (1749881)Instructions burned: 4 (million)
% 0.65/0.39 % (1749880)Instruction limit reached!
% 0.65/0.39 % (1749880)------------------------------
% 0.65/0.39 % (1749880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.39 % (1749880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.39 % (1749880)CaDiCaL version: 2.1.3
% 0.65/0.39 % (1749880)Termination reason: Instruction limit
% 0.65/0.39 % (1749880)Termination phase: shuffling
% 0.65/0.39 % (1749880)Time elapsed: 0.008 s
% 0.65/0.39 % (1749880)Peak memory usage: 10 MB
% 0.65/0.39 % (1749880)Instructions burned: 19 (million)
% 0.65/0.39 % (1749883)Instruction limit reached!
% 0.65/0.39 % (1749883)------------------------------
% 0.65/0.39 % (1749883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.39 % (1749883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.39 % (1749883)CaDiCaL version: 2.1.3
% 0.65/0.39 % (1749883)Termination reason: Instruction limit
% 0.65/0.39 % (1749883)Termination phase: shuffling
% 0.65/0.39 % (1749883)Time elapsed: 0.011 s
% 0.65/0.39 % (1749883)Peak memory usage: 10 MB
% 0.65/0.39 % (1749883)Instructions burned: 25 (million)
% 0.65/0.39 % (1749884)Instruction limit reached!
% 0.65/0.39 % (1749884)------------------------------
% 0.65/0.39 % (1749884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.39 % (1749884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.39 % (1749884)CaDiCaL version: 2.1.3
% 0.65/0.39 % (1749884)Termination reason: Instruction limit
% 0.65/0.39 % (1749884)Termination phase: Property scanning
% 0.65/0.39 % (1749884)Time elapsed: 0.019 s
% 0.65/0.39 % (1749884)Peak memory usage: 12 MB
% 0.65/0.39 % (1749884)Instructions burned: 79 (million)
% 0.65/0.39 % (1749896)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3365301560:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.65/0.39 % (1749893)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=192854544:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.65/0.40 % (1749896)Instruction limit reached!
% 0.65/0.40 % (1749896)------------------------------
% 0.65/0.40 % (1749896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.40 % (1749893)Instruction limit reached!
% 0.65/0.40 % (1749893)------------------------------
% 0.65/0.40 % (1749893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.40 % (1749896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.40 % (1749893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.40 % (1749896)CaDiCaL version: 2.1.3
% 0.65/0.40 % (1749896)Termination reason: Instruction limit
% 0.65/0.40 % (1749896)Termination phase: shuffling
% 0.65/0.40 % (1749896)Time elapsed: 0.003 s
% 0.65/0.40 % (1749893)CaDiCaL version: 2.1.3
% 0.65/0.40 % (1749896)Peak memory usage: 10 MB
% 0.65/0.40 % (1749893)Termination reason: Instruction limit
% 0.65/0.40 % (1749893)Termination phase: shuffling
% 0.65/0.40 % (1749896)Instructions burned: 12 (million)
% 0.65/0.40 % (1749893)Time elapsed: 0.003 s
% 0.65/0.40 % (1749893)Peak memory usage: 10 MB
% 0.65/0.40 % (1749893)Instructions burned: 6 (million)
% 0.65/0.40 % (1749895)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.65/0.40 % (1749895)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=649029992:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.65/0.40 % (1749895)Instruction limit reached!
% 0.65/0.40 % (1749895)------------------------------
% 0.65/0.40 % (1749895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.40 % (1749895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.40 % (1749895)CaDiCaL version: 2.1.3
% 0.65/0.40 % (1749895)Termination reason: Instruction limit
% 0.65/0.40 % (1749895)Termination phase: shuffling
% 0.65/0.40 % (1749895)Time elapsed: 0.003 s
% 0.65/0.40 % (1749895)Peak memory usage: 10 MB
% 0.65/0.40 % (1749895)Instructions burned: 7 (million)
% 0.65/0.40 % (1749894)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1820444249:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.65/0.40 % (1749900)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=1480422851:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.65/0.40 % (1749894)Instruction limit reached!
% 0.65/0.40 % (1749894)------------------------------
% 0.65/0.40 % (1749894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.40 % (1749894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.40 % (1749894)CaDiCaL version: 2.1.3
% 0.65/0.40 % (1749894)Termination reason: Instruction limit
% 0.65/0.40 % (1749894)Termination phase: shuffling
% 0.65/0.40 % (1749894)Time elapsed: 0.003 s
% 0.65/0.40 % (1749894)Peak memory usage: 10 MB
% 0.65/0.40 % (1749894)Instructions burned: 5 (million)
% 0.65/0.40 % (1749879)Instruction limit reached!
% 0.65/0.40 % (1749879)------------------------------
% 0.65/0.40 % (1749879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.40 % (1749879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.40 % (1749879)CaDiCaL version: 2.1.3
% 0.65/0.40 % (1749879)Termination reason: Instruction limit
% 0.65/0.40 % (1749879)Termination phase: Function definition elimination
% 0.65/0.40 % (1749879)Time elapsed: 0.039 s
% 0.65/0.40 % (1749879)Peak memory usage: 12 MB
% 0.65/0.40 % (1749879)Instructions burned: 88 (million)
% 0.65/0.40 % (1749899)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
% 0.65/0.40 % (1749899)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.65/0.40 % (1749899)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1596761493:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.65/0.40 % (1749905)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.65/0.40 % (1749900)Instruction limit reached!
% 0.65/0.40 % (1749900)------------------------------
% 0.65/0.40 % (1749900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.40 % (1749900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.40 % (1749900)CaDiCaL version: 2.1.3
% 0.65/0.40 % (1749900)Termination reason: Instruction limit
% 0.65/0.40 % (1749900)Termination phase: Property scanning
% 0.65/0.40 % (1749900)Time elapsed: 0.020 s
% 0.65/0.40 % (1749900)Peak memory usage: 11 MB
% 0.65/0.40 % (1749900)Instructions burned: 88 (million)
% 0.65/0.40 % (1749905)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=201842416:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.65/0.40 % (1749906)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1116342100:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.65/0.40 % (1749899)Instruction limit reached!
% 0.65/0.40 % (1749899)------------------------------
% 0.65/0.40 % (1749899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.40 % (1749899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.40 % (1749899)CaDiCaL version: 2.1.3
% 0.65/0.40 % (1749899)Termination reason: Instruction limit
% 0.65/0.40 % (1749899)Termination phase: shuffling
% 0.65/0.40 % (1749899)Time elapsed: 0.013 s
% 0.65/0.40 % (1749899)Peak memory usage: 10 MB
% 0.65/0.40 % (1749899)Instructions burned: 28 (million)
% 0.65/0.40 % (1749905)Instruction limit reached!
% 0.65/0.40 % (1749905)------------------------------
% 0.65/0.40 % (1749905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.40 % (1749905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.40 % (1749905)CaDiCaL version: 2.1.3
% 0.65/0.40 % (1749905)Termination reason: Instruction limit
% 0.65/0.40 % (1749905)Termination phase: shuffling
% 0.65/0.40 % (1749905)Time elapsed: 0.001 s
% 0.65/0.40 % (1749905)Peak memory usage: 10 MB
% 0.65/0.40 % (1749905)Instructions burned: 2 (million)
% 0.65/0.40 % (1749902)lrs+10_1_si=on:cs=on:random_seed=538915588:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.65/0.40 % (1749908)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1349108436:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.65/0.40 % (1749902)Instruction limit reached!
% 0.65/0.40 % (1749902)------------------------------
% 0.65/0.40 % (1749902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.40 % (1749902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.40 % (1749902)CaDiCaL version: 2.1.3
% 0.65/0.40 % (1749902)Termination reason: Instruction limit
% 0.65/0.40 % (1749902)Termination phase: shuffling
% 0.65/0.40 % (1749902)Time elapsed: 0.004 s
% 0.65/0.40 % (1749902)Peak memory usage: 10 MB
% 0.65/0.40 % (1749902)Instructions burned: 8 (million)
% 0.65/0.40 % (1749906)Instruction limit reached!
% 0.65/0.40 % (1749906)------------------------------
% 0.65/0.40 % (1749906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.40 % (1749906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.40 % (1749906)CaDiCaL version: 2.1.3
% 0.65/0.40 % (1749906)Termination reason: Instruction limit
% 0.65/0.40 % (1749906)Termination phase: Property scanning
% 0.65/0.40 % (1749906)Time elapsed: 0.017 s
% 0.65/0.40 % (1749906)Peak memory usage: 10 MB
% 0.65/0.40 % (1749906)Instructions burned: 39 (million)
% 0.65/0.40 % (1749911)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4117375682:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.65/0.40 % (1749912)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4028293957:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.65/0.40 % (1749885)Instruction limit reached!
% 0.65/0.40 % (1749885)------------------------------
% 0.65/0.40 % (1749885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.40 % (1749885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.40 % (1749885)CaDiCaL version: 2.1.3
% 0.65/0.40 % (1749885)Termination reason: Instruction limit
% 0.65/0.40 % (1749885)Termination phase: Saturation
% 0.65/0.40 % (1749885)Time elapsed: 0.080 s
% 0.65/0.40 % (1749885)Peak memory usage: 13 MB
% 0.65/0.40 % (1749885)Instructions burned: 157 (million)
% 0.65/0.40 % (1749882) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1749874-1749882"...
% 0.65/0.40 % (1749912)Instruction limit reached!
% 0.65/0.40 % (1749912)------------------------------
% 0.65/0.40 % (1749912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.40 % (1749912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.40 % (1749912)CaDiCaL version: 2.1.3
% 0.65/0.40 % (1749912)Termination reason: Instruction limit
% 0.65/0.40 % (1749912)Termination phase: shuffling
% 0.65/0.40 % (1749912)Time elapsed: 0.006 s
% 0.65/0.40 % (1749912)Peak memory usage: 10 MB
% 0.65/0.40 % (1749912)Instructions burned: 14 (million)
% 0.65/0.40 % (1749882)...printing done.
% 0.65/0.40 % (1749882)Refutation found. Thanks to Tanya!
% 0.65/0.40 % SZS status Theorem for theBenchmark
% 0.65/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.65/0.41 % (1749882)------------------------------
% 0.65/0.41 % (1749882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.41 % (1749882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.41 % (1749882)CaDiCaL version: 2.1.3
% 0.65/0.41 % (1749882)Termination reason: Refutation
% 0.65/0.41 % (1749882)Time elapsed: 0.087 s
% 0.65/0.41 % (1749882)Peak memory usage: 15 MB
% 0.65/0.41 % (1749882)Instructions burned: 178 (million)
% 0.65/0.41 % (1749874)Success in time 0.138 s
% 0.65/0.41 % Vampire exiting
%------------------------------------------------------------------------------