%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW478^1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 08:40:20 AM UTC 2026
% Result : Theorem 0.22s 0.34s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 5 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 175 ( 5 ~; 0 |; 0 &; 170 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 14 ( 13 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 175 ( 172 usr; 13 con; 0-5 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
exp_list_char: $tType ).
thf(type_def_6,type,
list_char: $tType ).
thf(type_def_7,type,
list_P1999446415t_char: $tType ).
thf(type_def_8,type,
nat: $tType ).
thf(type_def_9,type,
option_ty: $tType ).
thf(type_def_10,type,
option_val: $tType ).
thf(type_def_11,type,
option1728594148on_val: $tType ).
thf(type_def_12,type,
ty: $tType ).
thf(type_def_13,type,
val: $tType ).
thf(type_def_14,type,
produc2090907612on_val: $tType ).
thf(type_def_15,type,
produc1282892786on_val: $tType ).
thf(type_def_16,type,
produc1013743697t_char: $tType ).
thf(type_def_17,type,
produc1746408499on_val: $tType ).
thf(type_def_18,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
hconf_97414254t_char: list_P1999446415t_char > ( nat > option1728594148on_val ) > $o ).
thf(func_def_1,type,
lconf_496643946t_char: list_P1999446415t_char > ( nat > option1728594148on_val ) > ( list_char > option_val ) > ( list_char > option_ty ) > $o ).
thf(func_def_2,type,
block_list_char: list_char > ty > exp_list_char > exp_list_char ).
thf(func_def_3,type,
lAss_list_char: list_char > exp_list_char > exp_list_char ).
thf(func_def_4,type,
seq_list_char: exp_list_char > exp_list_char > exp_list_char ).
thf(func_def_5,type,
val_list_char: val > exp_list_char ).
thf(func_def_6,type,
fun_up424764369ion_ty: ( list_char > option_ty ) > list_char > option_ty > list_char > option_ty ).
thf(func_def_7,type,
fun_up1149430426on_val: ( list_char > option_val ) > list_char > option_val > list_char > option_val ).
thf(func_def_8,type,
wf_J_mdecl: list_P1999446415t_char > list_char > produc1013743697t_char > $o ).
thf(func_def_9,type,
none_ty: option_ty ).
thf(func_def_10,type,
none_val: option_val ).
thf(func_def_11,type,
some_ty: ty > option_ty ).
thf(func_def_12,type,
some_val: val > option_val ).
thf(func_def_13,type,
produc755559506on_val: ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc2090907612on_val ).
thf(func_def_14,type,
produc235638504on_val: exp_list_char > produc2090907612on_val > produc1282892786on_val ).
thf(func_def_15,type,
produc833389609on_val: produc1282892786on_val > produc1282892786on_val > produc1746408499on_val ).
thf(func_def_16,type,
produc575577405_val_o: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > produc2090907612on_val > $o ).
thf(func_def_17,type,
produc900512295_val_o: ( exp_list_char > produc2090907612on_val > $o ) > produc1282892786on_val > $o ).
thf(func_def_18,type,
produc2006262054_val_o: ( produc1282892786on_val > produc1282892786on_val > $o ) > produc1746408499on_val > $o ).
thf(func_def_19,type,
produc146628214_val_o: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc2090907612on_val > $o ) > produc2090907612on_val > produc2090907612on_val > $o ).
thf(func_def_20,type,
produc74886368_val_o: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc1282892786on_val > $o ) > produc2090907612on_val > produc1282892786on_val > $o ).
thf(func_def_21,type,
produc252486962_val_o: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > produc2090907612on_val > $o ).
thf(func_def_22,type,
produc1016489647on_val: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc1282892786on_val ) > produc2090907612on_val > produc1282892786on_val ).
thf(func_def_23,type,
produc1186953840on_val: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc1746408499on_val ) > produc2090907612on_val > produc1746408499on_val ).
thf(func_def_24,type,
produc1115879776_val_o: ( exp_list_char > produc2090907612on_val > produc2090907612on_val > $o ) > produc1282892786on_val > produc2090907612on_val > $o ).
thf(func_def_25,type,
produc68058570_val_o: ( exp_list_char > produc2090907612on_val > produc1282892786on_val > $o ) > produc1282892786on_val > produc1282892786on_val > $o ).
thf(func_def_26,type,
produc1835097372_val_o: ( exp_list_char > produc2090907612on_val > $o ) > produc1282892786on_val > $o ).
thf(func_def_27,type,
produc69760047on_val: ( exp_list_char > produc2090907612on_val > produc2090907612on_val ) > produc1282892786on_val > produc2090907612on_val ).
thf(func_def_28,type,
produc793795679_val_o: ( produc1282892786on_val > produc1282892786on_val > produc2090907612on_val > $o ) > produc1746408499on_val > produc2090907612on_val > $o ).
thf(func_def_29,type,
produc1798214089_val_o: ( produc1282892786on_val > produc1282892786on_val > produc1282892786on_val > $o ) > produc1746408499on_val > produc1282892786on_val > $o ).
thf(func_def_30,type,
produc1624062875_val_o: ( produc1282892786on_val > produc1282892786on_val > $o ) > produc1746408499on_val > $o ).
thf(func_def_31,type,
produc511181936on_val: ( produc1282892786on_val > produc1282892786on_val > produc2090907612on_val ) > produc1746408499on_val > produc2090907612on_val ).
thf(func_def_32,type,
assigned: list_char > exp_list_char > $o ).
thf(func_def_33,type,
red: list_P1999446415t_char > produc1746408499on_val > $o ).
thf(func_def_34,type,
redp: list_P1999446415t_char > exp_list_char > produc2090907612on_val > exp_list_char > produc2090907612on_val > $o ).
thf(func_def_35,type,
hp: produc2090907612on_val > nat > option1728594148on_val ).
thf(func_def_36,type,
widen_2090681816t_char: list_P1999446415t_char > ty > ty > $o ).
thf(func_def_37,type,
typeSa1586500134_sconf: list_P1999446415t_char > ( list_char > option_ty ) > produc2090907612on_val > $o ).
thf(func_def_38,type,
unit: val ).
thf(func_def_39,type,
wf_pro755087577t_char: ( list_P1999446415t_char > list_char > produc1013743697t_char > $o ) > list_P1999446415t_char > $o ).
thf(func_def_40,type,
wTrt: list_P1999446415t_char > ( nat > option1728594148on_val ) > ( list_char > option_ty ) > exp_list_char > ty > $o ).
thf(func_def_41,type,
member1846553161on_val: produc2090907612on_val > ( produc2090907612on_val > $o ) > $o ).
thf(func_def_42,type,
member1072200031on_val: produc1282892786on_val > ( produc1282892786on_val > $o ) > $o ).
thf(func_def_43,type,
member1913460000on_val: produc1746408499on_val > ( produc1746408499on_val > $o ) > $o ).
thf(func_def_44,type,
e: list_char > option_ty ).
thf(func_def_45,type,
p: list_P1999446415t_char ).
thf(func_def_46,type,
t: ty ).
thf(func_def_47,type,
t_1: ty ).
thf(func_def_48,type,
v_1: list_char ).
thf(func_def_49,type,
e_a: exp_list_char ).
thf(func_def_50,type,
ea: exp_list_char ).
thf(func_def_51,type,
h_a: nat > option1728594148on_val ).
thf(func_def_52,type,
ha: nat > option1728594148on_val ).
thf(func_def_53,type,
l_a: list_char > option_val ).
thf(func_def_54,type,
la: list_char > option_val ).
thf(func_def_55,type,
v_2: val ).
thf(func_def_56,type,
v: val ).
thf(func_def_58,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_59,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_60,type,
vAND: $o > $o > $o ).
thf(func_def_63,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_64,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_65,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_66,type,
sK0: produc2090907612on_val > ( exp_list_char > produc2090907612on_val > produc2090907612on_val > $o ) > produc1282892786on_val > exp_list_char ).
thf(func_def_67,type,
sK1: produc2090907612on_val > ( exp_list_char > produc2090907612on_val > produc2090907612on_val > $o ) > produc1282892786on_val > produc2090907612on_val ).
thf(func_def_68,type,
sK2: ( exp_list_char > produc2090907612on_val > $o ) > ( produc1282892786on_val > $o ) > produc2090907612on_val ).
thf(func_def_69,type,
sK3: ( exp_list_char > produc2090907612on_val > $o ) > ( produc1282892786on_val > $o ) > exp_list_char ).
thf(func_def_70,type,
sK4: produc1282892786on_val > ( exp_list_char > produc2090907612on_val > produc1282892786on_val > $o ) > produc1282892786on_val > exp_list_char ).
thf(func_def_71,type,
sK5: produc1282892786on_val > ( exp_list_char > produc2090907612on_val > produc1282892786on_val > $o ) > produc1282892786on_val > produc2090907612on_val ).
thf(func_def_72,type,
sK6: produc1746408499on_val > produc1282892786on_val ).
thf(func_def_73,type,
sK7: produc1746408499on_val > produc2090907612on_val ).
thf(func_def_74,type,
sK8: produc1746408499on_val > exp_list_char ).
thf(func_def_75,type,
sK9: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > produc2090907612on_val > list_char > option_val ).
thf(func_def_76,type,
sK10: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > produc2090907612on_val > nat > option1728594148on_val ).
thf(func_def_77,type,
sK11: ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_78,type,
sK12: ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_79,type,
sK13: produc2090907612on_val > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > list_char > option_val ).
thf(func_def_80,type,
sK14: produc2090907612on_val > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > nat > option1728594148on_val ).
thf(func_def_81,type,
sK15: ( produc1282892786on_val > $o ) > produc2090907612on_val ).
thf(func_def_82,type,
sK16: ( produc1282892786on_val > $o ) > exp_list_char ).
thf(func_def_83,type,
sK17: ( list_char > option_ty ) > ty > ty ).
thf(func_def_84,type,
sK18: ( produc1282892786on_val > produc1282892786on_val > produc1282892786on_val > $o ) > produc1282892786on_val > produc1746408499on_val > produc1282892786on_val ).
thf(func_def_85,type,
sK19: ( produc1282892786on_val > produc1282892786on_val > produc1282892786on_val > $o ) > produc1282892786on_val > produc1746408499on_val > produc1282892786on_val ).
thf(func_def_86,type,
sK20: produc1282892786on_val > produc2090907612on_val ).
thf(func_def_87,type,
sK21: produc1282892786on_val > exp_list_char ).
thf(func_def_88,type,
sK22: produc1746408499on_val > exp_list_char ).
thf(func_def_89,type,
sK23: produc1746408499on_val > list_char > option_val ).
thf(func_def_90,type,
sK24: produc1746408499on_val > produc1282892786on_val ).
thf(func_def_91,type,
sK25: produc1746408499on_val > nat > option1728594148on_val ).
thf(func_def_92,type,
sK26: produc1282892786on_val > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc1282892786on_val > $o ) > produc2090907612on_val > list_char > option_val ).
thf(func_def_93,type,
sK27: produc1282892786on_val > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc1282892786on_val > $o ) > produc2090907612on_val > nat > option1728594148on_val ).
thf(func_def_94,type,
sK28: ( $o > $o ) > produc2090907612on_val > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > list_char > option_val ).
thf(func_def_95,type,
sK29: ( $o > $o ) > produc2090907612on_val > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > nat > option1728594148on_val ).
thf(func_def_96,type,
sK30: produc1282892786on_val > exp_list_char ).
thf(func_def_97,type,
sK31: produc1282892786on_val > produc2090907612on_val ).
thf(func_def_98,type,
sK32: produc1746408499on_val > produc1282892786on_val ).
thf(func_def_99,type,
sK33: produc1746408499on_val > produc1282892786on_val ).
thf(func_def_100,type,
sK34: produc1282892786on_val > ( $o > $o ) > ( exp_list_char > produc2090907612on_val > $o ) > produc2090907612on_val ).
thf(func_def_101,type,
sK35: produc1282892786on_val > ( $o > $o ) > ( exp_list_char > produc2090907612on_val > $o ) > exp_list_char ).
thf(func_def_102,type,
sK36: produc1282892786on_val > produc1282892786on_val > ( exp_list_char > produc2090907612on_val > produc1282892786on_val > $o ) > produc2090907612on_val ).
thf(func_def_103,type,
sK37: produc1282892786on_val > produc1282892786on_val > ( exp_list_char > produc2090907612on_val > produc1282892786on_val > $o ) > exp_list_char ).
thf(func_def_104,type,
sK38: produc1282892786on_val > produc1746408499on_val > ( produc1282892786on_val > produc1282892786on_val > produc1282892786on_val > $o ) > produc1282892786on_val ).
thf(func_def_105,type,
sK39: produc1282892786on_val > produc1746408499on_val > ( produc1282892786on_val > produc1282892786on_val > produc1282892786on_val > $o ) > produc1282892786on_val ).
thf(func_def_106,type,
sK40: list_char > ty > ( list_char > option_ty ) > list_char ).
thf(func_def_107,type,
sK41: ( produc1282892786on_val > produc1282892786on_val > $o ) > ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_108,type,
sK42: ( produc1282892786on_val > produc1282892786on_val > $o ) > ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_109,type,
sK43: ( produc1282892786on_val > $o ) > exp_list_char ).
thf(func_def_110,type,
sK44: ( produc1282892786on_val > $o ) > list_char > option_val ).
thf(func_def_111,type,
sK45: ( produc1282892786on_val > $o ) > nat > option1728594148on_val ).
thf(func_def_112,type,
sK46: ( $o > $o ) > ( produc1282892786on_val > produc1282892786on_val > $o ) > produc1746408499on_val > produc1282892786on_val ).
thf(func_def_113,type,
sK47: ( $o > $o ) > ( produc1282892786on_val > produc1282892786on_val > $o ) > produc1746408499on_val > produc1282892786on_val ).
thf(func_def_114,type,
sK48: ( produc1746408499on_val > $o ) > exp_list_char ).
thf(func_def_115,type,
sK49: ( produc1746408499on_val > $o ) > list_char > option_val ).
thf(func_def_116,type,
sK50: ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_117,type,
sK51: ( produc1746408499on_val > $o ) > nat > option1728594148on_val ).
thf(func_def_118,type,
sK52: ( produc2090907612on_val > $o ) > ( produc2090907612on_val > $o ) > nat > option1728594148on_val ).
thf(func_def_119,type,
sK53: ( produc2090907612on_val > $o ) > ( produc2090907612on_val > $o ) > list_char > option_val ).
thf(func_def_120,type,
sK54: produc2090907612on_val > list_char > option_val ).
thf(func_def_121,type,
sK55: produc2090907612on_val > nat > option1728594148on_val ).
thf(func_def_122,type,
sK56: produc1746408499on_val > ( produc1282892786on_val > produc1282892786on_val > $o ) > produc1282892786on_val ).
thf(func_def_123,type,
sK57: produc1746408499on_val > ( produc1282892786on_val > produc1282892786on_val > $o ) > produc1282892786on_val ).
thf(func_def_124,type,
sK58: produc2090907612on_val > produc2090907612on_val > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc2090907612on_val > $o ) > nat > option1728594148on_val ).
thf(func_def_125,type,
sK59: produc2090907612on_val > produc2090907612on_val > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc2090907612on_val > $o ) > list_char > option_val ).
thf(func_def_126,type,
sK60: produc2090907612on_val > nat > option1728594148on_val ).
thf(func_def_127,type,
sK61: produc2090907612on_val > list_char > option_val ).
thf(func_def_128,type,
sK62: ( produc1282892786on_val > produc1282892786on_val > $o ) > produc1746408499on_val > produc1282892786on_val ).
thf(func_def_129,type,
sK63: ( produc1282892786on_val > produc1282892786on_val > $o ) > produc1746408499on_val > produc1282892786on_val ).
thf(func_def_130,type,
sK64: produc1282892786on_val > ( exp_list_char > produc2090907612on_val > $o ) > exp_list_char ).
thf(func_def_131,type,
sK65: produc1282892786on_val > ( exp_list_char > produc2090907612on_val > $o ) > produc2090907612on_val ).
thf(func_def_132,type,
sK66: ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_133,type,
sK67: ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_134,type,
sK68: ( produc1746408499on_val > $o ) > exp_list_char ).
thf(func_def_135,type,
sK69: ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_136,type,
sK70: ( produc1746408499on_val > $o ) > produc2090907612on_val ).
thf(func_def_137,type,
sK71: ( produc1282892786on_val > produc1282892786on_val > produc2090907612on_val > $o ) > produc1746408499on_val > produc2090907612on_val > produc1282892786on_val ).
thf(func_def_138,type,
sK72: ( produc1282892786on_val > produc1282892786on_val > produc2090907612on_val > $o ) > produc1746408499on_val > produc2090907612on_val > produc1282892786on_val ).
thf(func_def_139,type,
sK73: val > list_char > ( list_char > option_val ) > list_char ).
thf(func_def_140,type,
sK74: ( produc2090907612on_val > $o ) > nat > option1728594148on_val ).
thf(func_def_141,type,
sK75: ( produc2090907612on_val > $o ) > list_char > option_val ).
thf(func_def_142,type,
sK76: produc2090907612on_val > ( exp_list_char > produc2090907612on_val > produc2090907612on_val > $o ) > produc1282892786on_val > produc2090907612on_val ).
thf(func_def_143,type,
sK77: produc2090907612on_val > ( exp_list_char > produc2090907612on_val > produc2090907612on_val > $o ) > produc1282892786on_val > exp_list_char ).
thf(func_def_144,type,
sK78: produc2090907612on_val > produc2090907612on_val > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc2090907612on_val > $o ) > list_char > option_val ).
thf(func_def_145,type,
sK79: produc2090907612on_val > produc2090907612on_val > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc2090907612on_val > $o ) > nat > option1728594148on_val ).
thf(func_def_146,type,
sK80: ( produc2090907612on_val > $o ) > nat > option1728594148on_val ).
thf(func_def_147,type,
sK81: ( produc2090907612on_val > $o ) > list_char > option_val ).
thf(func_def_148,type,
sK82: produc1282892786on_val > ( exp_list_char > produc2090907612on_val > $o ) > produc2090907612on_val ).
thf(func_def_149,type,
sK83: produc1282892786on_val > ( exp_list_char > produc2090907612on_val > $o ) > exp_list_char ).
thf(func_def_150,type,
sK84: produc1746408499on_val > produc1282892786on_val ).
thf(func_def_151,type,
sK85: produc1746408499on_val > produc1282892786on_val ).
thf(func_def_152,type,
sK86: ( produc1282892786on_val > $o ) > ( produc1282892786on_val > $o ) > produc2090907612on_val ).
thf(func_def_153,type,
sK87: ( produc1282892786on_val > $o ) > ( produc1282892786on_val > $o ) > exp_list_char ).
thf(func_def_154,type,
sK88: ( produc2090907612on_val > $o ) > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > nat > option1728594148on_val ).
thf(func_def_155,type,
sK89: ( produc2090907612on_val > $o ) > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > list_char > option_val ).
thf(func_def_156,type,
sK90: ( produc1282892786on_val > $o ) > exp_list_char ).
thf(func_def_157,type,
sK91: ( produc1282892786on_val > $o ) > produc2090907612on_val ).
thf(func_def_158,type,
sK92: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc1282892786on_val > $o ) > produc2090907612on_val > produc1282892786on_val > nat > option1728594148on_val ).
thf(func_def_159,type,
sK93: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc1282892786on_val > $o ) > produc2090907612on_val > produc1282892786on_val > list_char > option_val ).
thf(func_def_160,type,
sK94: ( produc1282892786on_val > produc1282892786on_val > produc2090907612on_val > $o ) > produc2090907612on_val > produc1746408499on_val > produc1282892786on_val ).
thf(func_def_161,type,
sK95: ( produc1282892786on_val > produc1282892786on_val > produc2090907612on_val > $o ) > produc2090907612on_val > produc1746408499on_val > produc1282892786on_val ).
thf(func_def_162,type,
sK96: ( produc1746408499on_val > $o ) > ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_163,type,
sK97: ( produc1746408499on_val > $o ) > ( produc1746408499on_val > $o ) > produc1282892786on_val ).
thf(func_def_164,type,
sK98: produc1282892786on_val > list_char > option_val ).
thf(func_def_165,type,
sK99: produc1282892786on_val > exp_list_char ).
thf(func_def_166,type,
sK100: produc1282892786on_val > nat > option1728594148on_val ).
thf(func_def_167,type,
vNOT: $o > $o ).
thf(func_def_168,type,
sK101: ( produc1282892786on_val > $o ) > produc1282892786on_val ).
thf(func_def_169,type,
sK102: ( produc2090907612on_val > $o ) > produc2090907612on_val ).
thf(func_def_170,type,
sK103: ( produc1746408499on_val > $o ) > produc1746408499on_val ).
thf(func_def_171,type,
sK104: ( produc1282892786on_val > $o ) > produc1282892786on_val ).
thf(func_def_172,type,
sK105: ( produc2090907612on_val > $o ) > produc2090907612on_val ).
thf(func_def_173,type,
sK106: ( produc1746408499on_val > $o ) > produc1746408499on_val ).
thf(f2,axiom,
member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).
thf(f168,conjecture,
member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f169,negated_conjecture,
~ ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ) ),
inference(negated_conjecture,[status(cth)],[f168]) ).
thf(f178,plain,
~ ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ) ),
inference(rectify,[],[f169]) ).
thf(f179,plain,
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ) )
!= $true ),
inference(fool_elimination,[],[f178]) ).
thf(f268,plain,
member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ),
inference(rectify,[],[f2]) ).
thf(f269,plain,
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ) )
= $true ),
inference(fool_elimination,[],[f268]) ).
thf(f385,plain,
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ) )
!= $true ),
inference(flattening,[],[f179]) ).
thf(f778,plain,
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ) )
!= $true ),
inference(cnf_transformation,[],[f385]) ).
thf(f977,plain,
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ) )
= $true ),
inference(cnf_transformation,[],[f269]) ).
thf(f1154,plain,
$false,
inference(forward_subsumption_resolution,[],[f977,f778]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW478^1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n011.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 16:07:43 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.34 % (272458)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.34 % (272468)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2864747724:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.34 % (272469)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.34 % (272469)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
% 0.22/0.34 % (272465)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1615932235:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.34 % (272463)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3070521072:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.34 % (272464)lrs+10_16_si=on:nwc=1.5:random_seed=3803318234:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.34 % (272469)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=2384062755:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.34 % (272466)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=769808117: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)
% 0.22/0.34 % (272467)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=103258658:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.34 % (272465)Instruction limit reached!
% 0.22/0.34 % (272465)------------------------------
% 0.22/0.34 % (272465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (272465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (272465)CaDiCaL version: 2.1.3
% 0.22/0.34 % (272465)Termination reason: Instruction limit
% 0.22/0.34 % (272465)Termination phase: shuffling
% 0.22/0.34 % (272465)Time elapsed: 0.002 s
% 0.22/0.34 % (272465)Peak memory usage: 10 MB
% 0.22/0.34 % (272465)Instructions burned: 4 (million)
% 0.22/0.34 % (272464)Instruction limit reached!
% 0.22/0.34 % (272464)------------------------------
% 0.22/0.34 % (272464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (272464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (272464)CaDiCaL version: 2.1.3
% 0.22/0.34 % (272464)Termination reason: Instruction limit
% 0.22/0.34 % (272464)Termination phase: Property scanning
% 0.22/0.34 % (272464)Time elapsed: 0.008 s
% 0.22/0.34 % (272464)Peak memory usage: 10 MB
% 0.22/0.34 % (272464)Instructions burned: 19 (million)
% 0.22/0.34 % (272467)Instruction limit reached!
% 0.22/0.34 % (272467)------------------------------
% 0.22/0.34 % (272467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (272467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (272467)CaDiCaL version: 2.1.3
% 0.22/0.34 % (272467)Termination reason: Instruction limit
% 0.22/0.34 % (272467)Termination phase: Preprocessing 1
% 0.22/0.34 % (272467)Time elapsed: 0.010 s
% 0.22/0.34 % (272467)Peak memory usage: 10 MB
% 0.22/0.34 % (272467)Instructions burned: 24 (million)
% 0.22/0.34 % (272468)Instruction limit reached!
% 0.22/0.34 % (272468)------------------------------
% 0.22/0.34 % (272468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (272468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (272468)CaDiCaL version: 2.1.3
% 0.22/0.34 % (272468)Termination reason: Instruction limit
% 0.22/0.34 % (272468)Termination phase: Saturation
% 0.22/0.34 % (272468)Time elapsed: 0.019 s
% 0.22/0.34 % (272468)Peak memory usage: 13 MB
% 0.22/0.34 % (272468)Instructions burned: 77 (million)
% 0.22/0.34 % (272477)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3128329895:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.34 % (272477)Instruction limit reached!
% 0.22/0.34 % (272477)------------------------------
% 0.22/0.34 % (272477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (272477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (272477)CaDiCaL version: 2.1.3
% 0.22/0.34 % (272477)Termination reason: Instruction limit
% 0.22/0.34 % (272477)Termination phase: shuffling
% 0.22/0.34 % (272477)Time elapsed: 0.002 s
% 0.22/0.34 % (272477)Peak memory usage: 10 MB
% 0.22/0.34 % (272477)Instructions burned: 4 (million)
% 0.22/0.34 % (272480)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2173308806:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.22/0.34 % (272479)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.34 % (272480)Instruction limit reached!
% 0.22/0.34 % (272480)------------------------------
% 0.22/0.34 % (272480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (272480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (272480)CaDiCaL version: 2.1.3
% 0.22/0.34 % (272480)Termination reason: Instruction limit
% 0.22/0.34 % (272480)Termination phase: shuffling
% 0.22/0.34 % (272480)Time elapsed: 0.003 s
% 0.22/0.34 % (272480)Peak memory usage: 10 MB
% 0.22/0.34 % (272480)Instructions burned: 14 (million)
% 0.22/0.34 % (272478)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2959630931:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.22/0.34 % (272479)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3287962207:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.22/0.34 % (272478)Instruction limit reached!
% 0.22/0.34 % (272478)------------------------------
% 0.22/0.34 % (272478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (272478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (272478)CaDiCaL version: 2.1.3
% 0.22/0.34 % (272478)Termination reason: Instruction limit
% 0.22/0.34 % (272478)Termination phase: shuffling
% 0.22/0.34 % (272478)Time elapsed: 0.003 s
% 0.22/0.34 % (272478)Peak memory usage: 10 MB
% 0.22/0.34 % (272478)Instructions burned: 6 (million)
% 0.22/0.34 % (272463) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-272458-272463"...
% 0.22/0.34 % (272479)Instruction limit reached!
% 0.22/0.34 % (272479)------------------------------
% 0.22/0.34 % (272479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (272479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (272479)CaDiCaL version: 2.1.3
% 0.22/0.34 % (272479)Termination reason: Instruction limit
% 0.22/0.34 % (272479)Termination phase: shuffling
% 0.22/0.34 % (272479)Time elapsed: 0.004 s
% 0.22/0.34 % (272479)Peak memory usage: 10 MB
% 0.22/0.34 % (272479)Instructions burned: 9 (million)
% 0.22/0.34 % (272463)...printing done.
% 0.22/0.34 % (272463)Refutation found. Thanks to Tanya!
% 0.22/0.34 % SZS status Theorem for theBenchmark
% 0.22/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.34 % (272463)------------------------------
% 0.22/0.34 % (272463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (272463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (272463)CaDiCaL version: 2.1.3
% 0.22/0.34 % (272463)Termination reason: Refutation
% 0.22/0.34 % (272463)Time elapsed: 0.036 s
% 0.22/0.34 % (272463)Peak memory usage: 13 MB
% 0.22/0.34 % (272463)Instructions burned: 76 (million)
% 0.22/0.34 % (272458)Success in time 0.087 s
% 0.22/0.34 % Vampire exiting
%------------------------------------------------------------------------------