%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP197^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 08:11:04 AM UTC 2026
% Result : Theorem 5.94s 1.17s
% Output : Refutation 5.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 27 unt; 0 typ; 0 def)
% Number of atoms : 136 ( 86 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 281 ( 25 ~; 34 |; 2 &; 216 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 15 ( 14 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 322 ( 319 usr; 11 con; 0-4 aty)
% Number of variables : 66 ( 20 ^; 46 !; 0 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
list_l1704431731scheme: $tType ).
thf(type_def_6,type,
list_l865305402le_typ: $tType ).
thf(type_def_7,type,
list_l1334080099scheme: $tType ).
thf(type_def_8,type,
list_n396811828le_typ: $tType ).
thf(type_def_9,type,
list_l1790670291le_typ: $tType ).
thf(type_def_10,type,
list_T247403987scheme: $tType ).
thf(type_def_11,type,
list_T1103309005le_typ: $tType ).
thf(type_def_12,type,
type_M1694694083scheme: $tType ).
thf(type_def_13,type,
list_set_nat: $tType ).
thf(type_def_14,type,
list_nat_o: $tType ).
thf(type_def_15,type,
type_Mirabelle_typ: $tType ).
thf(type_def_16,type,
list_nat: $tType ).
thf(type_def_17,type,
set_nat: $tType ).
thf(type_def_18,type,
nat: $tType ).
thf(type_def_19,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
the_nat: ( nat > $o ) > nat ).
thf(func_def_1,type,
if_nat: $o > nat > nat > nat ).
thf(func_def_2,type,
if_Typ1169047309le_typ: $o > type_Mirabelle_typ > type_Mirabelle_typ > type_Mirabelle_typ ).
thf(func_def_3,type,
semila1414375521_nat_o: ( ( nat > $o ) > ( nat > $o ) > nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_4,type,
semila1369944356et_nat: ( set_nat > set_nat > set_nat ) > set_nat > $o ).
thf(func_def_5,type,
sup_sup_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).
thf(func_def_6,type,
sup_sup_nat: nat > nat > nat ).
thf(func_def_7,type,
sup_sup_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_8,type,
cons_nat_o: ( nat > $o ) > list_nat_o > list_nat_o ).
thf(func_def_9,type,
cons_n499085924le_typ: ( nat > type_Mirabelle_typ ) > list_n396811828le_typ > list_n396811828le_typ ).
thf(func_def_10,type,
cons_l1800589546le_typ: list_n396811828le_typ > list_l865305402le_typ > list_l865305402le_typ ).
thf(func_def_11,type,
cons_l531914285scheme: list_l1334080099scheme > list_l1704431731scheme > list_l1704431731scheme ).
thf(func_def_12,type,
cons_l392684675le_typ: list_T1103309005le_typ > list_l1790670291le_typ > list_l1790670291le_typ ).
thf(func_def_13,type,
cons_l1910959773scheme: list_T247403987scheme > list_l1334080099scheme > list_l1334080099scheme ).
thf(func_def_14,type,
cons_nat: nat > list_nat > list_nat ).
thf(func_def_15,type,
cons_set_nat: set_nat > list_set_nat > list_set_nat ).
thf(func_def_16,type,
cons_T363929085le_typ: type_Mirabelle_typ > list_T1103309005le_typ > list_T1103309005le_typ ).
thf(func_def_17,type,
cons_T633159821scheme: type_M1694694083scheme > list_T247403987scheme > list_T247403987scheme ).
thf(func_def_18,type,
nil_nat_o: list_nat_o ).
thf(func_def_19,type,
nil_nat: list_nat ).
thf(func_def_20,type,
nil_set_nat: list_set_nat ).
thf(func_def_21,type,
nil_Ty61485117scheme: list_T247403987scheme ).
thf(func_def_22,type,
ord_lexordp_eq_nat_o: list_nat_o > list_nat_o > $o ).
thf(func_def_23,type,
ord_lexordp_eq_nat: list_nat > list_nat > $o ).
thf(func_def_24,type,
ord_le727790544et_nat: list_set_nat > list_set_nat > $o ).
thf(func_def_25,type,
bot_bot_nat_o: nat > $o ).
thf(func_def_26,type,
bot_bot_o: $o ).
thf(func_def_27,type,
bot_bot_nat: nat ).
thf(func_def_28,type,
bot_bot_set_nat: set_nat ).
thf(func_def_29,type,
ord_less_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_30,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_31,type,
ord_less_set_nat: set_nat > set_nat > $o ).
thf(func_def_32,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_33,type,
insert_nat: nat > set_nat > set_nat ).
thf(func_def_34,type,
is_empty_nat: set_nat > $o ).
thf(func_def_35,type,
is_singleton_nat: set_nat > $o ).
thf(func_def_36,type,
the_elem_nat: set_nat > nat ).
thf(func_def_37,type,
type_Mirabelle_cod: ( nat > type_Mirabelle_typ ) > set_nat ).
thf(func_def_38,type,
type_Mirabelle_dom: ( nat > type_Mirabelle_typ ) > set_nat ).
thf(func_def_39,type,
type_M405566558_subst: nat > type_Mirabelle_typ ).
thf(func_def_40,type,
type_M1006385707scheme: type_Mirabelle_typ > type_M1694694083scheme ).
thf(func_def_41,type,
type_M1734147655le_typ: nat > ( nat > type_Mirabelle_typ ) > $o ).
thf(func_def_42,type,
type_M244876119le_typ: nat > list_n396811828le_typ > $o ).
thf(func_def_43,type,
type_M2086816231le_typ: nat > list_l865305402le_typ > $o ).
thf(func_def_44,type,
type_M1172169604scheme: nat > list_l1704431731scheme > $o ).
thf(func_def_45,type,
type_M1826376056le_typ: nat > list_l1790670291le_typ > $o ).
thf(func_def_46,type,
type_M1377662078scheme: nat > list_l1334080099scheme > $o ).
thf(func_def_47,type,
type_M263553000le_typ: nat > list_T1103309005le_typ > $o ).
thf(func_def_48,type,
type_M2064939256scheme: nat > list_T247403987scheme > $o ).
thf(func_def_49,type,
type_M1211611096le_typ: nat > type_Mirabelle_typ > $o ).
thf(func_def_50,type,
type_M1963061490scheme: nat > type_M1694694083scheme > $o ).
thf(func_def_51,type,
type_M1898948661at_nat: nat > nat ).
thf(func_def_52,type,
type_Mirabelle_Fun: type_Mirabelle_typ > type_Mirabelle_typ > type_Mirabelle_typ ).
thf(func_def_53,type,
type_Mirabelle_TVar: nat > type_Mirabelle_typ ).
thf(func_def_54,type,
type_M1743451154le_typ: type_Mirabelle_typ > type_Mirabelle_typ ).
thf(func_def_55,type,
type_M2048935292e_BVar: nat > type_M1694694083scheme ).
thf(func_def_56,type,
type_M876316792e_FVar: nat > type_M1694694083scheme ).
thf(func_def_57,type,
type_M155660035e_SFun: type_M1694694083scheme > type_M1694694083scheme > type_M1694694083scheme ).
thf(func_def_58,type,
type_M1158474302le_typ: ( nat > type_Mirabelle_typ ) > ( nat > type_Mirabelle_typ ) > nat > type_Mirabelle_typ ).
thf(func_def_59,type,
type_M737052622le_typ: ( nat > type_Mirabelle_typ ) > list_n396811828le_typ > list_n396811828le_typ ).
thf(func_def_60,type,
type_M1385924301scheme: ( nat > type_Mirabelle_typ ) > list_l1704431731scheme > list_l1704431731scheme ).
thf(func_def_61,type,
type_M1913464047le_typ: ( nat > type_Mirabelle_typ ) > list_l1790670291le_typ > list_l1790670291le_typ ).
thf(func_def_62,type,
type_M1061687367scheme: ( nat > type_Mirabelle_typ ) > list_l1334080099scheme > list_l1334080099scheme ).
thf(func_def_63,type,
type_M1440203487le_typ: ( nat > type_Mirabelle_typ ) > list_T1103309005le_typ > list_T1103309005le_typ ).
thf(func_def_64,type,
type_M1944210753scheme: ( nat > type_Mirabelle_typ ) > list_T247403987scheme > list_T247403987scheme ).
thf(func_def_65,type,
type_M784671311le_typ: ( nat > type_Mirabelle_typ ) > type_Mirabelle_typ > type_Mirabelle_typ ).
thf(func_def_66,type,
type_M1690910139scheme: ( nat > type_Mirabelle_typ ) > type_M1694694083scheme > type_M1694694083scheme ).
thf(func_def_67,type,
type_M772783356le_typ: ( nat > type_Mirabelle_typ ) > set_nat ).
thf(func_def_68,type,
type_M513401740le_typ: list_n396811828le_typ > set_nat ).
thf(func_def_69,type,
type_M1496178953scheme: list_l1334080099scheme > set_nat ).
thf(func_def_70,type,
type_M1539052445le_typ: list_T1103309005le_typ > set_nat ).
thf(func_def_71,type,
type_M961603331scheme: list_T247403987scheme > set_nat ).
thf(func_def_72,type,
type_M801073677le_typ: type_Mirabelle_typ > set_nat ).
thf(func_def_73,type,
type_M326705277scheme: type_M1694694083scheme > set_nat ).
thf(func_def_74,type,
type_M1715972684le_typ: ( nat > type_Mirabelle_typ ) > set_nat ).
thf(func_def_75,type,
type_M1691543772le_typ: list_n396811828le_typ > set_nat ).
thf(func_def_76,type,
type_M906078444le_typ: list_l865305402le_typ > set_nat ).
thf(func_def_77,type,
type_M1926053183scheme: list_l1704431731scheme > set_nat ).
thf(func_def_78,type,
type_M1418941437le_typ: list_l1790670291le_typ > set_nat ).
thf(func_def_79,type,
type_M1958029241scheme: list_l1334080099scheme > set_nat ).
thf(func_def_80,type,
type_M510873837le_typ: list_T1103309005le_typ > set_nat ).
thf(func_def_81,type,
type_M141510067scheme: list_T247403987scheme > set_nat ).
thf(func_def_82,type,
type_M49385309le_typ: type_Mirabelle_typ > set_nat ).
thf(func_def_83,type,
type_M1050318637scheme: type_M1694694083scheme > set_nat ).
thf(func_def_84,type,
member_nat: nat > set_nat > $o ).
thf(func_def_85,type,
s1: nat > type_Mirabelle_typ ).
thf(func_def_86,type,
s2: nat > type_Mirabelle_typ ).
thf(func_def_87,type,
n: nat ).
thf(func_def_88,type,
x: nat ).
thf(func_def_90,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_93,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_94,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_95,type,
vAND: $o > $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,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_99,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_100,type,
vOR: $o > $o > $o ).
thf(func_def_101,type,
vNOT: $o > $o ).
thf(func_def_102,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_103,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_104,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_105,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_106,type,
sP0: list_set_nat > list_set_nat > $o ).
thf(func_def_107,type,
sP1: list_nat_o > list_nat_o > $o ).
thf(func_def_108,type,
sP2: list_nat > list_nat > $o ).
thf(func_def_109,type,
sP3: ( list_nat > list_nat > $o ) > $o ).
thf(func_def_110,type,
sK4: ( nat > type_Mirabelle_typ ) > ( nat > type_Mirabelle_typ ) > type_M1694694083scheme > nat ).
thf(func_def_111,type,
sK5: ( nat > type_Mirabelle_typ ) > ( nat > type_Mirabelle_typ ) > type_M1694694083scheme > nat ).
thf(func_def_112,type,
sK6: type_M1694694083scheme > type_M1694694083scheme > type_Mirabelle_typ ).
thf(func_def_113,type,
sK7: type_M1694694083scheme > type_M1694694083scheme > type_Mirabelle_typ ).
thf(func_def_114,type,
sK8: ( nat > type_Mirabelle_typ ) > ( nat > type_Mirabelle_typ ) > type_Mirabelle_typ > nat ).
thf(func_def_115,type,
sK9: ( nat > type_Mirabelle_typ ) > ( nat > type_Mirabelle_typ ) > type_Mirabelle_typ > nat ).
thf(func_def_116,type,
sK10: type_M1694694083scheme > type_M1694694083scheme ).
thf(func_def_117,type,
sK11: type_M1694694083scheme > type_M1694694083scheme ).
thf(func_def_118,type,
sK12: type_M1694694083scheme > nat ).
thf(func_def_119,type,
sK13: type_M1694694083scheme > nat ).
thf(func_def_120,type,
sK14: ( type_M1694694083scheme > $o ) > type_M1694694083scheme ).
thf(func_def_121,type,
sK15: ( type_M1694694083scheme > $o ) > type_M1694694083scheme ).
thf(func_def_122,type,
sK16: ( type_M1694694083scheme > $o ) > nat ).
thf(func_def_123,type,
sK17: ( type_M1694694083scheme > $o ) > nat ).
thf(func_def_124,type,
sK18: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_125,type,
sK19: set_nat > nat ).
thf(func_def_126,type,
sK20: set_nat > nat > set_nat ).
thf(func_def_127,type,
sK21: set_nat > nat > set_nat ).
thf(func_def_128,type,
sK22: ( nat > type_Mirabelle_typ ) > ( nat > type_Mirabelle_typ ) > list_T247403987scheme > nat ).
thf(func_def_129,type,
sK23: ( nat > type_Mirabelle_typ ) > ( nat > type_Mirabelle_typ ) > list_T247403987scheme > nat ).
thf(func_def_130,type,
sK24: set_nat > nat ).
thf(func_def_131,type,
sK25: set_nat > nat ).
thf(func_def_132,type,
sK26: ( nat > set_nat ) > nat ).
thf(func_def_133,type,
sK27: ( nat > set_nat ) > nat ).
thf(func_def_134,type,
sK28: ( nat > nat > $o ) > nat ).
thf(func_def_135,type,
sK29: ( nat > nat > $o ) > nat ).
thf(func_def_136,type,
sK30: ( set_nat > nat ) > set_nat ).
thf(func_def_137,type,
sK31: ( set_nat > nat ) > set_nat ).
thf(func_def_138,type,
sK32: ( set_nat > set_nat ) > set_nat ).
thf(func_def_139,type,
sK33: ( set_nat > set_nat ) > set_nat ).
thf(func_def_140,type,
sK34: ( set_nat > nat > $o ) > set_nat ).
thf(func_def_141,type,
sK35: ( set_nat > nat > $o ) > set_nat ).
thf(func_def_142,type,
sK36: ( ( nat > $o ) > nat ) > nat > $o ).
thf(func_def_143,type,
sK37: ( ( nat > $o ) > nat ) > nat > $o ).
thf(func_def_144,type,
sK38: ( ( nat > $o ) > set_nat ) > nat > $o ).
thf(func_def_145,type,
sK39: ( ( nat > $o ) > set_nat ) > nat > $o ).
thf(func_def_146,type,
sK40: ( ( nat > $o ) > nat > $o ) > nat > $o ).
thf(func_def_147,type,
sK41: ( ( nat > $o ) > nat > $o ) > nat > $o ).
thf(func_def_148,type,
sK42: ( nat > nat ) > nat ).
thf(func_def_149,type,
sK43: ( nat > nat ) > nat ).
thf(func_def_150,type,
sK44: ( nat > set_nat ) > nat ).
thf(func_def_151,type,
sK45: ( nat > set_nat ) > nat ).
thf(func_def_152,type,
sK46: ( nat > nat > $o ) > nat ).
thf(func_def_153,type,
sK47: ( nat > nat > $o ) > nat ).
thf(func_def_154,type,
sK48: ( set_nat > nat ) > set_nat ).
thf(func_def_155,type,
sK49: ( set_nat > nat ) > set_nat ).
thf(func_def_156,type,
sK50: ( set_nat > set_nat ) > set_nat ).
thf(func_def_157,type,
sK51: ( set_nat > set_nat ) > set_nat ).
thf(func_def_158,type,
sK52: ( set_nat > nat > $o ) > set_nat ).
thf(func_def_159,type,
sK53: ( set_nat > nat > $o ) > set_nat ).
thf(func_def_160,type,
sK54: ( ( nat > $o ) > nat ) > nat > $o ).
thf(func_def_161,type,
sK55: ( ( nat > $o ) > nat ) > nat > $o ).
thf(func_def_162,type,
sK56: ( ( nat > $o ) > set_nat ) > nat > $o ).
thf(func_def_163,type,
sK57: ( ( nat > $o ) > set_nat ) > nat > $o ).
thf(func_def_164,type,
sK58: ( ( nat > $o ) > nat > $o ) > nat > $o ).
thf(func_def_165,type,
sK59: ( ( nat > $o ) > nat > $o ) > nat > $o ).
thf(func_def_166,type,
sK60: ( nat > nat ) > nat ).
thf(func_def_167,type,
sK61: ( nat > nat ) > nat ).
thf(func_def_168,type,
sK62: ( set_nat > nat ) > set_nat ).
thf(func_def_169,type,
sK63: ( set_nat > nat ) > set_nat ).
thf(func_def_170,type,
sK64: ( ( nat > $o ) > nat ) > nat > $o ).
thf(func_def_171,type,
sK65: ( ( nat > $o ) > nat ) > nat > $o ).
thf(func_def_172,type,
sK66: ( nat > set_nat ) > nat ).
thf(func_def_173,type,
sK67: ( nat > set_nat ) > nat ).
thf(func_def_174,type,
sK68: ( set_nat > set_nat ) > set_nat ).
thf(func_def_175,type,
sK69: ( set_nat > set_nat ) > set_nat ).
thf(func_def_176,type,
sK70: ( ( nat > $o ) > set_nat ) > nat > $o ).
thf(func_def_177,type,
sK71: ( ( nat > $o ) > set_nat ) > nat > $o ).
thf(func_def_178,type,
sK72: ( nat > nat > $o ) > nat ).
thf(func_def_179,type,
sK73: ( nat > nat > $o ) > nat ).
thf(func_def_180,type,
sK74: ( set_nat > nat > $o ) > set_nat ).
thf(func_def_181,type,
sK75: ( set_nat > nat > $o ) > set_nat ).
thf(func_def_182,type,
sK76: ( ( nat > $o ) > nat > $o ) > nat > $o ).
thf(func_def_183,type,
sK77: ( ( nat > $o ) > nat > $o ) > nat > $o ).
thf(func_def_184,type,
sK78: ( nat > nat ) > nat ).
thf(func_def_185,type,
sK79: ( nat > nat ) > nat ).
thf(func_def_186,type,
sK80: ( nat > set_nat ) > nat ).
thf(func_def_187,type,
sK81: ( nat > set_nat ) > nat ).
thf(func_def_188,type,
sK82: ( nat > nat > $o ) > nat ).
thf(func_def_189,type,
sK83: ( nat > nat > $o ) > nat ).
thf(func_def_190,type,
sK84: ( set_nat > nat ) > set_nat ).
thf(func_def_191,type,
sK85: ( set_nat > nat ) > set_nat ).
thf(func_def_192,type,
sK86: ( set_nat > set_nat ) > set_nat ).
thf(func_def_193,type,
sK87: ( set_nat > set_nat ) > set_nat ).
thf(func_def_194,type,
sK88: ( set_nat > nat > $o ) > set_nat ).
thf(func_def_195,type,
sK89: ( set_nat > nat > $o ) > set_nat ).
thf(func_def_196,type,
sK90: ( ( nat > $o ) > nat ) > nat > $o ).
thf(func_def_197,type,
sK91: ( ( nat > $o ) > nat ) > nat > $o ).
thf(func_def_198,type,
sK92: ( ( nat > $o ) > set_nat ) > nat > $o ).
thf(func_def_199,type,
sK93: ( ( nat > $o ) > set_nat ) > nat > $o ).
thf(func_def_200,type,
sK94: ( ( nat > $o ) > nat > $o ) > nat > $o ).
thf(func_def_201,type,
sK95: ( ( nat > $o ) > nat > $o ) > nat > $o ).
thf(func_def_202,type,
sK96: ( nat > nat ) > nat ).
thf(func_def_203,type,
sK97: ( nat > nat ) > nat ).
thf(func_def_204,type,
sK98: nat > nat ).
thf(func_def_205,type,
sK99: ( nat > $o ) > nat ).
thf(func_def_206,type,
sK100: ( nat > nat > $o ) > nat ).
thf(func_def_207,type,
sK101: ( nat > nat > $o ) > nat ).
thf(func_def_208,type,
sK102: ( nat > nat > $o ) > nat ).
thf(func_def_209,type,
sK103: ( nat > nat > $o ) > nat ).
thf(func_def_210,type,
sK104: ( nat > nat > $o ) > nat ).
thf(func_def_211,type,
sK105: set_nat > nat ).
thf(func_def_212,type,
sK106: type_Mirabelle_typ > type_Mirabelle_typ ).
thf(func_def_213,type,
sK107: type_Mirabelle_typ > type_Mirabelle_typ ).
thf(func_def_214,type,
sK108: type_Mirabelle_typ > nat ).
thf(func_def_215,type,
sK109: ( type_Mirabelle_typ > $o ) > type_Mirabelle_typ ).
thf(func_def_216,type,
sK110: ( type_Mirabelle_typ > $o ) > type_Mirabelle_typ ).
thf(func_def_217,type,
sK111: ( type_Mirabelle_typ > $o ) > nat ).
thf(func_def_218,type,
sK112: nat > ( nat > $o ) > nat ).
thf(func_def_219,type,
sK113: nat > ( nat > $o ) > nat ).
thf(func_def_220,type,
sK114: nat > ( nat > $o ) > nat ).
thf(func_def_221,type,
sK115: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_222,type,
sK116: nat > ( nat > $o ) > nat ).
thf(func_def_223,type,
sK117: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_224,type,
sK118: nat > ( nat > $o ) > nat ).
thf(func_def_225,type,
sK119: nat > ( nat > $o ) > nat ).
thf(func_def_226,type,
sK120: set_nat > ( nat > $o ) > set_nat > nat ).
thf(func_def_227,type,
sK121: nat > ( nat > $o ) > nat ).
thf(func_def_228,type,
sK122: list_set_nat > list_set_nat > set_nat ).
thf(func_def_229,type,
sK123: list_set_nat > list_set_nat > set_nat ).
thf(func_def_230,type,
sK124: list_set_nat > list_set_nat > list_set_nat ).
thf(func_def_231,type,
sK125: list_set_nat > list_set_nat > list_set_nat ).
thf(func_def_232,type,
sK126: list_set_nat > list_set_nat > set_nat ).
thf(func_def_233,type,
sK127: list_set_nat > list_set_nat > set_nat ).
thf(func_def_234,type,
sK128: list_set_nat > list_set_nat > list_set_nat ).
thf(func_def_235,type,
sK129: list_set_nat > list_set_nat > list_set_nat ).
thf(func_def_236,type,
sK130: list_nat_o > list_nat_o > nat > $o ).
thf(func_def_237,type,
sK131: list_nat_o > list_nat_o > nat > $o ).
thf(func_def_238,type,
sK132: list_nat_o > list_nat_o > list_nat_o ).
thf(func_def_239,type,
sK133: list_nat_o > list_nat_o > list_nat_o ).
thf(func_def_240,type,
sK134: list_nat_o > list_nat_o > nat > $o ).
thf(func_def_241,type,
sK135: list_nat_o > list_nat_o > nat > $o ).
thf(func_def_242,type,
sK136: list_nat_o > list_nat_o > list_nat_o ).
thf(func_def_243,type,
sK137: list_nat_o > list_nat_o > list_nat_o ).
thf(func_def_244,type,
sK138: list_nat > list_nat > nat ).
thf(func_def_245,type,
sK139: list_nat > list_nat > nat ).
thf(func_def_246,type,
sK140: list_nat > list_nat > list_nat ).
thf(func_def_247,type,
sK141: list_nat > list_nat > list_nat ).
thf(func_def_248,type,
sK142: list_nat > list_nat > nat ).
thf(func_def_249,type,
sK143: list_nat > list_nat > nat ).
thf(func_def_250,type,
sK144: list_nat > list_nat > list_nat ).
thf(func_def_251,type,
sK145: list_nat > list_nat > list_nat ).
thf(func_def_252,type,
sK146: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_253,type,
sK147: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_254,type,
sK148: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_255,type,
sK149: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_256,type,
sK150: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_257,type,
sK151: ( list_nat > list_nat > $o ) > nat ).
thf(func_def_258,type,
sK152: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_259,type,
sK153: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_260,type,
sK154: ( list_nat > list_nat > $o ) > list_nat ).
thf(func_def_261,type,
sK155: set_nat > ( nat > $o ) > nat ).
thf(func_def_262,type,
sK156: set_nat > ( nat > $o ) > nat ).
thf(func_def_263,type,
sK157: set_nat > set_nat > ( nat > $o ) > nat ).
thf(func_def_264,type,
sK158: set_nat > set_nat > ( nat > $o ) > nat ).
thf(func_def_265,type,
sK159: set_nat > set_nat > ( nat > $o ) > nat ).
thf(func_def_266,type,
sK160: set_nat > set_nat > ( nat > $o ) > nat ).
thf(func_def_267,type,
sK161: set_nat > ( nat > $o ) > nat ).
thf(func_def_268,type,
sK162: set_nat > ( nat > $o ) > nat ).
thf(func_def_269,type,
sK163: type_Mirabelle_typ > nat > type_Mirabelle_typ > nat ).
thf(func_def_270,type,
sK164: type_Mirabelle_typ > nat > type_Mirabelle_typ > nat ).
thf(func_def_271,type,
sK165: nat > type_Mirabelle_typ > nat ).
thf(func_def_272,type,
sK166: type_Mirabelle_typ > nat > nat ).
thf(func_def_273,type,
sK167: nat > nat > nat ).
thf(func_def_274,type,
sK168: nat > nat > nat ).
thf(func_def_275,type,
sK169: set_nat > nat > set_nat > nat > set_nat ).
thf(func_def_276,type,
sK170: set_nat > nat ).
thf(func_def_277,type,
sK171: list_T247403987scheme > nat > nat ).
thf(func_def_278,type,
sK172: ( nat > $o ) > nat ).
thf(func_def_279,type,
sK173: ( nat > $o ) > nat ).
thf(func_def_280,type,
sK174: set_nat > nat ).
thf(func_def_281,type,
sK175: nat > nat > nat ).
thf(func_def_282,type,
sK176: type_M1694694083scheme > nat > type_M1694694083scheme > nat ).
thf(func_def_283,type,
sK177: type_M1694694083scheme > nat > type_M1694694083scheme > nat ).
thf(func_def_284,type,
sK178: type_M1694694083scheme > nat > nat ).
thf(func_def_285,type,
sK179: type_M1694694083scheme > nat > nat ).
thf(func_def_286,type,
sK180: type_M1694694083scheme > nat > list_T247403987scheme > nat ).
thf(func_def_287,type,
sK181: type_M1694694083scheme > nat > list_T247403987scheme > nat ).
thf(func_def_288,type,
sK182: list_T247403987scheme > nat > nat ).
thf(func_def_289,type,
sK183: type_M1694694083scheme > nat > nat ).
thf(func_def_290,type,
sK184: ( nat > type_Mirabelle_typ ) > nat > list_n396811828le_typ > nat ).
thf(func_def_291,type,
sK185: ( nat > type_Mirabelle_typ ) > nat > list_n396811828le_typ > nat ).
thf(func_def_292,type,
sK186: list_n396811828le_typ > nat > nat ).
thf(func_def_293,type,
sK187: ( nat > type_Mirabelle_typ ) > nat > nat ).
thf(func_def_294,type,
sK188: type_Mirabelle_typ > nat > list_T1103309005le_typ > nat ).
thf(func_def_295,type,
sK189: type_Mirabelle_typ > nat > list_T1103309005le_typ > nat ).
thf(func_def_296,type,
sK190: list_T1103309005le_typ > nat > nat ).
thf(func_def_297,type,
sK191: type_Mirabelle_typ > nat > nat ).
thf(func_def_298,type,
sK192: list_T247403987scheme > nat > list_l1334080099scheme > nat ).
thf(func_def_299,type,
sK193: list_T247403987scheme > nat > list_l1334080099scheme > nat ).
thf(func_def_300,type,
sK194: list_l1334080099scheme > nat > nat ).
thf(func_def_301,type,
sK195: list_T247403987scheme > nat > nat ).
thf(func_def_302,type,
sK196: list_l1334080099scheme > nat > nat ).
thf(func_def_303,type,
sK197: list_T1103309005le_typ > nat > nat ).
thf(func_def_304,type,
sK198: list_n396811828le_typ > nat > nat ).
thf(func_def_305,type,
sK199: type_M1694694083scheme > nat > nat ).
thf(func_def_307,type,
sK201: ( nat > $o ) > nat ).
thf(func_def_308,type,
sK202: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_309,type,
sK203: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_310,type,
sK204: list_nat_o > list_nat_o > nat ).
thf(func_def_311,type,
sK205: list_nat_o > list_nat_o > nat ).
thf(func_def_312,type,
sK206: ( nat > $o ) > nat ).
thf(func_def_313,type,
sK207: ( nat > $o ) > nat ).
thf(func_def_314,type,
sK208: ( nat > $o ) > nat > nat ).
thf(func_def_315,type,
sK209: set_nat > set_nat > nat ).
thf(func_def_316,type,
sK210: set_nat > set_nat > nat ).
thf(func_def_317,type,
sK211: list_set_nat > list_set_nat > nat ).
thf(func_def_318,type,
sK212: list_set_nat > list_set_nat > nat ).
thf(func_def_319,type,
sK213: set_nat > nat ).
thf(func_def_320,type,
sK214: type_M1694694083scheme > nat ).
thf(func_def_321,type,
sK215: ( nat > $o ) > nat ).
thf(f4,axiom,
! [X0: nat > type_Mirabelle_typ,X1: nat] :
( ( type_M1690910139scheme @ X0 @ ( type_M876316792e_FVar @ X1 ) )
= ( type_M1006385707scheme @ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_app__subst__type__scheme_Osimps_I1_J) ).
thf(f15,axiom,
! [X0: type_Mirabelle_typ] :
( ( type_M1050318637scheme @ ( type_M1006385707scheme @ X0 ) )
= ( type_M49385309le_typ @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_free__tv__mk__scheme) ).
thf(f36,axiom,
! [X0: type_Mirabelle_typ,X1: type_Mirabelle_typ] :
( ( ( type_M1006385707scheme @ X0 )
= ( type_M1006385707scheme @ X1 ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_mk__scheme__injective) ).
thf(f86,axiom,
( insert_nat
= ( ^ [X0: nat,X1: set_nat] :
( collect_nat
@ ^ [X2: nat] :
( ( member_nat @ X2 @ X1 )
| ( X2 = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_insert__compr) ).
thf(f91,axiom,
! [X0: nat,X1: nat] :
( ( member_nat @ X0 @ ( insert_nat @ X1 @ bot_bot_set_nat ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_singletonD) ).
thf(f104,axiom,
! [X0: nat] :
( ( type_M49385309le_typ @ ( type_Mirabelle_TVar @ X0 ) )
= ( insert_nat @ X0 @ bot_bot_set_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_free__tv__TVar) ).
thf(f220,axiom,
! [X0: nat] :
( ( type_M1006385707scheme @ ( type_Mirabelle_TVar @ X0 ) )
= ( type_M876316792e_FVar @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_mk__scheme_Osimps_I1_J) ).
thf(f228,axiom,
type_M405566558_subst = type_Mirabelle_TVar,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_227_id__subst__def) ).
thf(f357,axiom,
! [X0: $o] :
( ( X0 = $false )
| ( X0 = $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Type____Mirabelle____lczmhmumaa__Otyp_T) ).
thf(f360,conjecture,
( ( ( s1 @ n )
= ( s2 @ n ) )
| ~ ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) )
| ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
!= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f361,negated_conjecture,
~ ( ( ( s1 @ n )
= ( s2 @ n ) )
| ~ ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) )
| ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
!= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) ) ),
inference(negated_conjecture,[status(cth)],[f360]) ).
thf(f466,plain,
( insert_nat
= ( ^ [X0: nat,X1: set_nat] :
( collect_nat
@ ^ [X2: nat] :
( ( member_nat @ X2 @ X1 )
| ( X2 = X0 ) ) ) ) ),
inference(rectify,[],[f86]) ).
thf(f467,plain,
( insert_nat
= ( ^ [Y0: nat,Y1: set_nat] :
( collect_nat
@ ^ [Y2: nat] :
( ( Y0 = Y2 )
| ( member_nat @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f466]) ).
thf(f470,plain,
! [X0: nat,X1: nat] :
( ( member_nat @ X0 @ ( insert_nat @ X1 @ bot_bot_set_nat ) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f91]) ).
thf(f471,plain,
! [X0: nat,X1: nat] :
( ( ( member_nat @ X0 @ ( insert_nat @ X1 @ bot_bot_set_nat ) )
= $true )
=> ( X0 = X1 ) ),
inference(fool_elimination,[],[f470]) ).
thf(f877,plain,
! [X0: $o] :
( ( $false = X0 )
| ( $true = X0 ) ),
inference(fool_elimination,[],[f357]) ).
thf(f882,plain,
~ ( ( ( s1 @ n )
= ( s2 @ n ) )
| ~ ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) )
| ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
!= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) ) ),
inference(rectify,[],[f361]) ).
thf(f883,plain,
~ ( ( ( s1 @ n )
= ( s2 @ n ) )
| ( ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) )
!= $true )
| ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
!= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) ) ),
inference(fool_elimination,[],[f882]) ).
thf(f937,plain,
~ ( ( ( s1 @ n )
= ( s2 @ n ) )
| ( ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) )
!= $true )
| ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
!= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) ) ),
inference(flattening,[],[f883]) ).
thf(f946,plain,
! [X0: type_Mirabelle_typ,X1: type_Mirabelle_typ] :
( ( X0 = X1 )
| ( ( type_M1006385707scheme @ X0 )
!= ( type_M1006385707scheme @ X1 ) ) ),
inference(ennf_transformation,[],[f36]) ).
thf(f967,plain,
! [X0: nat,X1: nat] :
( ( X0 = X1 )
| ( ( member_nat @ X0 @ ( insert_nat @ X1 @ bot_bot_set_nat ) )
!= $true ) ),
inference(ennf_transformation,[],[f471]) ).
thf(f1187,plain,
( ( ( s1 @ n )
!= ( s2 @ n ) )
& ( ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) )
= $true )
& ( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) ) ),
inference(ennf_transformation,[],[f937]) ).
thf(f1293,plain,
! [X0: nat > type_Mirabelle_typ,X1: nat] :
( ( type_M1690910139scheme @ X0 @ ( type_M876316792e_FVar @ X1 ) )
= ( type_M1006385707scheme @ ( X0 @ X1 ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f1304,plain,
! [X0: type_Mirabelle_typ] :
( ( type_M1050318637scheme @ ( type_M1006385707scheme @ X0 ) )
= ( type_M49385309le_typ @ X0 ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f1328,plain,
! [X0: type_Mirabelle_typ,X1: type_Mirabelle_typ] :
( ( ( type_M1006385707scheme @ X0 )
!= ( type_M1006385707scheme @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f946]) ).
thf(f1383,plain,
( insert_nat
= ( ^ [Y0: nat,Y1: set_nat] :
( collect_nat
@ ^ [Y2: nat] :
( ( Y0 = Y2 )
| ( member_nat @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f467]) ).
thf(f1388,plain,
! [X0: nat,X1: nat] :
( ( X0 = X1 )
| ( ( member_nat @ X0 @ ( insert_nat @ X1 @ bot_bot_set_nat ) )
!= $true ) ),
inference(cnf_transformation,[],[f967]) ).
thf(f1403,plain,
! [X0: nat] :
( ( insert_nat @ X0 @ bot_bot_set_nat )
= ( type_M49385309le_typ @ ( type_Mirabelle_TVar @ X0 ) ) ),
inference(cnf_transformation,[],[f104]) ).
thf(f1563,plain,
! [X0: nat] :
( ( type_M876316792e_FVar @ X0 )
= ( type_M1006385707scheme @ ( type_Mirabelle_TVar @ X0 ) ) ),
inference(cnf_transformation,[],[f220]) ).
thf(f1571,plain,
type_Mirabelle_TVar = type_M405566558_subst,
inference(cnf_transformation,[],[f228]) ).
thf(f1747,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
inference(cnf_transformation,[],[f877]) ).
thf(f1750,plain,
( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
= ( type_M1690910139scheme @ s2 @ ( type_M876316792e_FVar @ x ) ) ),
inference(cnf_transformation,[],[f1187]) ).
thf(f1751,plain,
( ( member_nat @ n @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ x ) ) )
= $true ),
inference(cnf_transformation,[],[f1187]) ).
thf(f1752,plain,
( ( s1 @ n )
!= ( s2 @ n ) ),
inference(cnf_transformation,[],[f1187]) ).
thf(f1801,plain,
! [X0: nat,X1: nat] :
( ( X0 = X1 )
| ( $true
!= ( member_nat @ X0
@ ( ^ [Y0: nat,Y1: set_nat] :
( collect_nat
@ ^ [Y2: nat] :
( ( Y0 = Y2 )
| ( member_nat @ Y2 @ Y1 ) ) )
@ X1
@ bot_bot_set_nat ) ) ) ),
inference(definition_unfolding,[],[f1388,f1383]) ).
thf(f1813,plain,
! [X0: nat] :
( ( ^ [Y0: nat,Y1: set_nat] :
( collect_nat
@ ^ [Y2: nat] :
( ( Y0 = Y2 )
| ( member_nat @ Y2 @ Y1 ) ) )
@ X0
@ bot_bot_set_nat )
= ( type_M49385309le_typ @ ( type_M405566558_subst @ X0 ) ) ),
inference(definition_unfolding,[],[f1403,f1383,f1571]) ).
thf(f1964,plain,
! [X0: nat] :
( ( type_M876316792e_FVar @ X0 )
= ( type_M1006385707scheme @ ( type_M405566558_subst @ X0 ) ) ),
inference(definition_unfolding,[],[f1563,f1571]) ).
thf(f6340,plain,
! [X0: nat] :
( ( type_M49385309le_typ @ ( type_M405566558_subst @ X0 ) )
= ( collect_nat
@ ^ [Y0: nat] :
( ( X0 = Y0 )
| ( member_nat @ Y0 @ bot_bot_set_nat ) ) ) ),
inference(beta-eta_normalization,[],[f1813]) ).
thf(f6413,plain,
! [X0: nat,X1: nat] :
( ( X0 = X1 )
| ( $true
!= ( member_nat @ X0
@ ( collect_nat
@ ^ [Y0: nat] :
( ( X1 = Y0 )
| ( member_nat @ Y0 @ bot_bot_set_nat ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1801]) ).
thf(f7329,plain,
! [X0: nat] :
( ( type_M1050318637scheme @ ( type_M876316792e_FVar @ X0 ) )
= ( type_M49385309le_typ @ ( type_M405566558_subst @ X0 ) ) ),
inference(constrained_superposition,[],[f1304,f1964]) ).
thf(f7440,plain,
( ( type_M1690910139scheme @ s1 @ ( type_M876316792e_FVar @ x ) )
= ( type_M1006385707scheme @ ( s2 @ x ) ) ),
inference(constrained_superposition,[],[f1750,f1293]) ).
thf(f7441,plain,
( ( type_M1006385707scheme @ ( s2 @ x ) )
= ( type_M1006385707scheme @ ( s1 @ x ) ) ),
inference(forward_demodulation,[],[f7440,f1293]) ).
thf(f7444,plain,
! [X0: type_Mirabelle_typ] :
( ( ( type_M1006385707scheme @ X0 )
!= ( type_M1006385707scheme @ ( s1 @ x ) ) )
| ( ( s2 @ x )
= X0 ) ),
inference(constrained_superposition,[],[f1328,f7441]) ).
thf(f7454,plain,
( ( s2 @ x )
= ( s1 @ x ) ),
inference(equality_resolution,[],[f7444]) ).
thf(f8090,plain,
! [X0: nat,X1: nat] :
( ( $true
!= ( member_nat @ X0 @ ( type_M49385309le_typ @ ( type_M405566558_subst @ X1 ) ) ) )
| ( X0 = X1 ) ),
inference(forward_demodulation,[],[f6413,f6340]) ).
thf(f8093,plain,
! [X0: nat,X1: nat] :
( ( $true != $true )
| ( X0 = X1 )
| ( $false
= ( member_nat @ X0 @ ( type_M49385309le_typ @ ( type_M405566558_subst @ X1 ) ) ) ) ),
inference(constrained_superposition,[],[f8090,f1747]) ).
thf(f8096,plain,
! [X0: nat,X1: nat] :
( ( X0 = X1 )
| ( $false
= ( member_nat @ X0 @ ( type_M49385309le_typ @ ( type_M405566558_subst @ X1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f8093]) ).
thf(f14863,plain,
! [X0: nat,X1: nat] :
( ( $false
= ( member_nat @ X0 @ ( type_M1050318637scheme @ ( type_M876316792e_FVar @ X1 ) ) ) )
| ( X0 = X1 ) ),
inference(forward_demodulation,[],[f8096,f7329]) ).
thf(f14898,plain,
( ( $true = $false )
| ( x = n ) ),
inference(constrained_superposition,[],[f1751,f14863]) ).
thf(f14944,plain,
x = n,
inference(trivial_inequality_removal,[],[f14898]) ).
thf(f14988,plain,
( ( s1 @ n )
= ( s2 @ n ) ),
inference(constrained_superposition,[],[f7454,f14944]) ).
thf(f15067,plain,
$false,
inference(forward_subsumption_resolution,[],[f14988,f1752]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP197^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n004.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 20:10:37 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.94/1.17 % (1782392)Will run a generic schedule for satisfiability detection.
% 5.94/1.17 % (1782397)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3690939954_2999 on theBenchmark for (2999ds/0Mi)
% 5.94/1.17 % (1782398)% WARNING: option uhcvi not known.
% 5.94/1.17 % (1782398)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1011773925:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.94/1.17 % (1782399)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=546907137:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.94/1.17 % (1782400)dis+10_1_sil=32000:sp=arity:random_seed=1572449545:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.94/1.17 % (1782398)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.94/1.17 % Exception at run slice level
% 5.94/1.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.94/1.17 % (1782408)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2641450629:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.94/1.17 % (1782402)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1602623233:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.94/1.17 % (1782401)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1469870959:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.94/1.17 % (1782403)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1635736885:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.94/1.17 % (1782398)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.94/1.17 % Exception at run slice level
% 5.94/1.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.94/1.17 % (1782400)Instruction limit reached!
% 5.94/1.17 % (1782400)------------------------------
% 5.94/1.17 % (1782400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.17 % (1782400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.17 % (1782400)CaDiCaL version: 2.1.3
% 5.94/1.17 % (1782400)Termination reason: Instruction limit
% 5.94/1.17 % (1782400)Termination phase: Property scanning
% 5.94/1.17 % (1782400)Time elapsed: 0.056 s
% 5.94/1.17 % (1782400)Peak memory usage: 12 MB
% 5.94/1.17 % (1782400)Instructions burned: 103 (million)
% 5.94/1.17 % (1782401)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.94/1.17 % (1782413)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1785582141:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.94/1.17 % (1782414)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2423458966:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.94/1.17 % (1782414)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.94/1.17 % (1782413)Instruction limit reached!
% 5.94/1.17 % (1782413)------------------------------
% 5.94/1.17 % (1782413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.17 % (1782413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.17 % (1782413)CaDiCaL version: 2.1.3
% 5.94/1.17 % (1782413)Termination reason: Instruction limit
% 5.94/1.17 % (1782413)Termination phase: Property scanning
% 5.94/1.17 % (1782413)Time elapsed: 0.029 s
% 5.94/1.17 % (1782413)Peak memory usage: 11 MB
% 5.94/1.17 % (1782413)Instructions burned: 134 (million)
% 5.94/1.17 % (1782417)ott-21_1_sil=16000:fs=off:random_seed=3688169643:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.94/1.17 % (1782401)Instruction limit reached!
% 5.94/1.17 % (1782401)------------------------------
% 5.94/1.17 % (1782401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.17 % (1782401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.17 % (1782401)CaDiCaL version: 2.1.3
% 5.94/1.17 % (1782401)Termination reason: Instruction limit
% 5.94/1.17 % (1782401)Termination phase: Property scanning
% 5.94/1.17 % (1782401)Time elapsed: 0.095 s
% 5.94/1.17 % (1782401)Peak memory usage: 12 MB
% 5.94/1.17 % (1782401)Instructions burned: 116 (million)
% 5.94/1.17 % (1782402)Instruction limit reached!
% 5.94/1.17 % (1782402)------------------------------
% 5.94/1.17 % (1782402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.17 % (1782402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.17 % (1782402)CaDiCaL version: 2.1.3
% 5.94/1.17 % (1782402)Termination reason: Instruction limit
% 5.94/1.17 % (1782402)Termination phase: Property scanning
% 5.94/1.17 % (1782402)Time elapsed: 0.106 s
% 5.94/1.17 % (1782402)Peak memory usage: 12 MB
% 5.94/1.17 % (1782402)Instructions burned: 131 (million)
% 5.94/1.17 % (1782414)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.94/1.17 % (1782417)Instruction limit reached!
% 5.94/1.17 % (1782417)------------------------------
% 5.94/1.17 % (1782417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.17 % (1782417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.17 % (1782417)CaDiCaL version: 2.1.3
% 5.94/1.17 % (1782417)Termination reason: Instruction limit
% 5.94/1.17 % (1782417)Termination phase: Saturation
% 5.94/1.17 % (1782417)Time elapsed: 0.039 s
% 5.94/1.17 % (1782417)Peak memory usage: 13 MB
% 5.94/1.17 % (1782417)Instructions burned: 180 (million)
% 5.94/1.17 % (1782403)Instruction limit reached!
% 5.94/1.17 % (1782403)------------------------------
% 5.94/1.17 % (1782403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.17 % (1782403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.17 % (1782403)CaDiCaL version: 2.1.3
% 5.94/1.17 % (1782403)Termination reason: Instruction limit
% 5.94/1.17 % (1782403)Termination phase: Saturation
% 5.94/1.17 % (1782403)Time elapsed: 0.128 s
% 5.94/1.17 % (1782403)Peak memory usage: 13 MB
% 5.94/1.17 % (1782403)Instructions burned: 159 (million)
% 5.94/1.17 % (1782421)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4266613295:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 5.94/1.17 % (1782419)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1690844601:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.94/1.17 % (1782420)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=492639994:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 5.94/1.17 % (1782422)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4193131555:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 5.94/1.17 % Exception at run slice level
% 5.94/1.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.94/1.17 % Exception at run slice level
% 5.94/1.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.94/1.17 % (1782427)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3849302688:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 5.94/1.17 % (1782428)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3446998816:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 5.94/1.17 % (1782427)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.94/1.17 % (1782428)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.94/1.17 % (1782414)Instruction limit reached!
% 5.94/1.17 % (1782414)------------------------------
% 5.94/1.17 % (1782414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.17 % (1782414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.17 % (1782414)CaDiCaL version: 2.1.3
% 5.94/1.17 % (1782414)Termination reason: Instruction limit
% 5.94/1.17 % (1782414)Termination phase: Saturation
% 5.94/1.17 % (1782414)Time elapsed: 0.336 s
% 5.94/1.17 % (1782414)Peak memory usage: 16 MB
% 5.94/1.17 % (1782414)Instructions burned: 684 (million)
% 5.94/1.17 % (1782431)fmb+10_1_sil=64000:random_seed=2971757042:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 5.94/1.17 % (1782431)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.94/1.17 % Exception at run slice level
% 5.94/1.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.94/1.17 % (1782419)Instruction limit reached!
% 5.94/1.17 % (1782419)------------------------------
% 5.94/1.17 % (1782419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.17 % (1782419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.17 % (1782419)CaDiCaL version: 2.1.3
% 5.94/1.17 % (1782419)Termination reason: Instruction limit
% 5.94/1.17 % (1782419)Termination phase: Saturation
% 5.94/1.17 % (1782419)Time elapsed: 0.356 s
% 5.94/1.17 % (1782419)Peak memory usage: 16 MB
% 5.94/1.17 % (1782419)Instructions burned: 477 (million)
% 5.94/1.17 % (1782433)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1205567263:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 5.94/1.17 % (1782434)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=881687001:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 5.94/1.17 % Exception at run slice level
% 5.94/1.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.94/1.17 % Exception at run slice level
% 5.94/1.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.94/1.17 % (1782437)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1445364448:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 5.94/1.17 % (1782438)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3766772565:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 5.94/1.17 % (1782437)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.94/1.17 % (1782421)Instruction limit reached!
% 5.94/1.17 % (1782421)------------------------------
% 5.94/1.17 % (1782421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.17 % (1782421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.17 % (1782421)CaDiCaL version: 2.1.3
% 5.94/1.17 % (1782421)Termination reason: Instruction limit
% 5.94/1.17 % (1782421)Termination phase: Saturation
% 5.94/1.17 % (1782421)Time elapsed: 0.488 s
% 5.94/1.17 % (1782421)Peak memory usage: 20 MB
% 5.94/1.17 % (1782421)Instructions burned: 1180 (million)
% 5.94/1.17 % (1782438)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.94/1.17 % (1782438)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.94/1.17 % (1782441)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3300812230:i=6324_2992 on theBenchmark for (2992ds/6324Mi)
% 5.94/1.17 % (1782427)Instruction limit reached!
% 5.94/1.17 % (1782427)------------------------------
% 5.94/1.17 % (1782427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.17 % (1782427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.17 % (1782427)CaDiCaL version: 2.1.3
% 5.94/1.17 % (1782427)Termination reason: Instruction limit
% 5.94/1.17 % (1782427)Termination phase: Saturation
% 5.94/1.17 % (1782427)Time elapsed: 0.353 s
% 5.94/1.17 % (1782427)Peak memory usage: 17 MB
% 5.94/1.17 % (1782427)Instructions burned: 692 (million)
% 5.94/1.17 % (1782443)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1313975251:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 5.94/1.17 % Exception at run slice level
% 5.94/1.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.94/1.17 % (1782445)ott-2_1_sil=16000:newcnf=on:random_seed=992860394:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2991 on theBenchmark for (2991ds/869Mi)
% 5.94/1.17 % (1782445)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.94/1.17 % Exception at run slice level
% 5.94/1.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.94/1.17 % (1782447)ott+10_1_sil=32000:tgt=ground:random_seed=4199664097:i=5114:av=off_2991 on theBenchmark for (2991ds/5114Mi)
% 5.94/1.17 % (1782398) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1782392-1782398"...
% 5.94/1.17 % (1782398)...printing done.
% 5.94/1.17 % (1782398)Refutation found. Thanks to Tanya!
% 5.94/1.17 % SZS status Theorem for theBenchmark
% 5.94/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 5.94/1.18 % (1782398)------------------------------
% 5.94/1.18 % (1782398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.18 % (1782398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.18 % (1782398)CaDiCaL version: 2.1.3
% 5.94/1.18 % (1782398)Termination reason: Refutation
% 5.94/1.18 % (1782398)Time elapsed: 0.895 s
% 5.94/1.18 % (1782398)Peak memory usage: 22 MB
% 5.94/1.18 % (1782398)Instructions burned: 1838 (million)
% 5.94/1.18 % (1782392)Success in time 0.957 s
% 5.94/1.18 % Vampire exiting
%------------------------------------------------------------------------------