%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP049^1 : 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 : n007.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 08:08:07 AM UTC 2026
% Result : Theorem 1.41s 0.62s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 18 unt; 0 typ; 3 def)
% Number of atoms : 92 ( 20 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 122 ( 15 ~; 8 |; 0 &; 90 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 16 ( 15 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 265 ( 262 usr; 7 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr1490359111at_nat: $tType ).
thf(type_def_6,type,
produc842455143at_nat: $tType ).
thf(type_def_7,type,
set_Pr1287749686at_nat: $tType ).
thf(type_def_8,type,
set_Pr1746169692at_nat: $tType ).
thf(type_def_9,type,
produc1271302400at_nat: $tType ).
thf(type_def_10,type,
produc1695820582at_nat: $tType ).
thf(type_def_11,type,
set_se1612935105at_nat: $tType ).
thf(type_def_12,type,
list_P559422087at_nat: $tType ).
thf(type_def_13,type,
set_Pr1986765409at_nat: $tType ).
thf(type_def_14,type,
product_prod_nat_nat: $tType ).
thf(type_def_15,type,
set_set_nat: $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,
a: $tType ).
thf(type_def_20,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
edmond1517640972ysis_a: ( product_prod_nat_nat > a ) > $o ).
thf(func_def_1,type,
edmond475474835dges_a: ( product_prod_nat_nat > a ) > nat > nat > set_Pr1986765409at_nat ).
thf(func_def_2,type,
finite_finite_nat: set_nat > $o ).
thf(func_def_3,type,
finite772653738at_nat: set_Pr1986765409at_nat > $o ).
thf(func_def_4,type,
finite277291581at_nat: set_Pr1746169692at_nat > $o ).
thf(func_def_5,type,
finite2000257047at_nat: set_Pr1287749686at_nat > $o ).
thf(func_def_6,type,
finite48957584at_nat: set_Pr1490359111at_nat > $o ).
thf(func_def_7,type,
finite2012248349et_nat: set_set_nat > $o ).
thf(func_def_8,type,
finite1457549322at_nat: set_se1612935105at_nat > $o ).
thf(func_def_9,type,
finite_Graph_a: ( product_prod_nat_nat > a ) > $o ).
thf(func_def_10,type,
e_a: ( product_prod_nat_nat > a ) > set_Pr1986765409at_nat ).
thf(func_def_11,type,
v_a: ( product_prod_nat_nat > a ) > set_nat ).
thf(func_def_12,type,
adjacent_nodes_a: ( product_prod_nat_nat > a ) > nat > set_nat ).
thf(func_def_13,type,
connected_a: ( product_prod_nat_nat > a ) > nat > nat > $o ).
thf(func_def_14,type,
incoming_a: ( product_prod_nat_nat > a ) > nat > set_Pr1986765409at_nat ).
thf(func_def_15,type,
incoming_a2: ( product_prod_nat_nat > a ) > set_nat > set_Pr1986765409at_nat ).
thf(func_def_16,type,
isPath_a: ( product_prod_nat_nat > a ) > nat > list_P559422087at_nat > nat > $o ).
thf(func_def_17,type,
isShortestPath_a: ( product_prod_nat_nat > a ) > nat > list_P559422087at_nat > nat > $o ).
thf(func_def_18,type,
isSimplePath_a: ( product_prod_nat_nat > a ) > nat > list_P559422087at_nat > nat > $o ).
thf(func_def_19,type,
outgoing_a: ( product_prod_nat_nat > a ) > nat > set_Pr1986765409at_nat ).
thf(func_def_20,type,
outgoing_a2: ( product_prod_nat_nat > a ) > set_nat > set_Pr1986765409at_nat ).
thf(func_def_21,type,
reachableNodes_a: ( product_prod_nat_nat > a ) > nat > set_nat ).
thf(func_def_22,type,
set_nat2: list_nat > set_nat ).
thf(func_def_23,type,
set_Pr2131844118at_nat: list_P559422087at_nat > set_Pr1986765409at_nat ).
thf(func_def_24,type,
ord_le1578155910_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(func_def_25,type,
ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_26,type,
ord_le1039616028_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).
thf(func_def_27,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_28,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(func_def_29,type,
ord_le841296385at_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > $o ).
thf(func_def_30,type,
ord_le148299708at_nat: set_Pr1746169692at_nat > set_Pr1746169692at_nat > $o ).
thf(func_def_31,type,
ord_le1837363350at_nat: set_Pr1287749686at_nat > set_Pr1287749686at_nat > $o ).
thf(func_def_32,type,
ord_le465611495at_nat: set_Pr1490359111at_nat > set_Pr1490359111at_nat > $o ).
thf(func_def_33,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_34,type,
produc1933845336at_nat: nat > product_prod_nat_nat > produc1695820582at_nat ).
thf(func_def_35,type,
produc947540346at_nat: product_prod_nat_nat > nat > produc1271302400at_nat ).
thf(func_def_36,type,
produc1168807639at_nat: product_prod_nat_nat > product_prod_nat_nat > produc842455143at_nat ).
thf(func_def_37,type,
produc45129834at_nat: set_nat > ( nat > set_nat ) > set_Pr1986765409at_nat ).
thf(func_def_38,type,
produc894163943at_nat: set_nat > ( nat > set_Pr1986765409at_nat ) > set_Pr1746169692at_nat ).
thf(func_def_39,type,
produc2055342601at_nat: set_Pr1986765409at_nat > ( product_prod_nat_nat > set_nat ) > set_Pr1287749686at_nat ).
thf(func_def_40,type,
produc2056081288at_nat: set_Pr1986765409at_nat > ( product_prod_nat_nat > set_Pr1986765409at_nat ) > set_Pr1490359111at_nat ).
thf(func_def_41,type,
product_swap_nat_nat: product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_42,type,
domain_nat_nat: set_Pr1986765409at_nat > set_nat ).
thf(func_def_43,type,
domain37934156at_nat: set_Pr1490359111at_nat > set_Pr1986765409at_nat ).
thf(func_def_44,type,
image_nat_nat: set_Pr1986765409at_nat > set_nat > set_nat ).
thf(func_def_45,type,
image_981520924at_nat: set_Pr1746169692at_nat > set_nat > set_Pr1986765409at_nat ).
thf(func_def_46,type,
image_2142699582at_nat: set_Pr1287749686at_nat > set_Pr1986765409at_nat > set_nat ).
thf(func_def_47,type,
image_1655366419at_nat: set_Pr1490359111at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat ).
thf(func_def_48,type,
range_nat_nat: set_Pr1986765409at_nat > set_nat ).
thf(func_def_49,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_50,type,
collec7649004at_nat: ( product_prod_nat_nat > $o ) > set_Pr1986765409at_nat ).
thf(func_def_51,type,
collect_set_nat: ( set_nat > $o ) > set_set_nat ).
thf(func_def_52,type,
collec1606769740at_nat: ( set_Pr1986765409at_nat > $o ) > set_se1612935105at_nat ).
thf(func_def_53,type,
transi1645084429cl_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat ).
thf(func_def_54,type,
transi1484096900at_nat: set_Pr1490359111at_nat > set_Pr1490359111at_nat ).
thf(func_def_55,type,
member_nat: nat > set_nat > $o ).
thf(func_def_56,type,
member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).
thf(func_def_57,type,
member1293241661at_nat: produc1695820582at_nat > set_Pr1746169692at_nat > $o ).
thf(func_def_58,type,
member868723479at_nat: produc1271302400at_nat > set_Pr1287749686at_nat > $o ).
thf(func_def_59,type,
member2027625872at_nat: produc842455143at_nat > set_Pr1490359111at_nat > $o ).
thf(func_def_60,type,
member_set_nat: set_nat > set_set_nat > $o ).
thf(func_def_61,type,
member298845450at_nat: set_Pr1986765409at_nat > set_se1612935105at_nat > $o ).
thf(func_def_62,type,
c: product_prod_nat_nat > a ).
thf(func_def_63,type,
s: nat ).
thf(func_def_64,type,
t: nat ).
thf(func_def_68,type,
vAND: $o > $o > $o ).
thf(func_def_69,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_70,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_71,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_72,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_73,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_74,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_75,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_76,type,
vNOT: $o > $o ).
thf(func_def_77,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_78,type,
vOR: $o > $o > $o ).
thf(func_def_79,type,
sP0: nat > nat > nat > $o ).
thf(func_def_80,type,
sP1: nat > nat > nat > $o ).
thf(func_def_81,type,
sK2: ( set_Pr1986765409at_nat > set_nat ) > set_Pr1986765409at_nat ).
thf(func_def_82,type,
sK3: ( set_Pr1986765409at_nat > set_nat ) > set_Pr1986765409at_nat ).
thf(func_def_83,type,
sK4: ( product_prod_nat_nat > set_Pr1986765409at_nat ) > produc842455143at_nat > set_Pr1986765409at_nat > product_prod_nat_nat ).
thf(func_def_84,type,
sK5: ( product_prod_nat_nat > set_Pr1986765409at_nat ) > produc842455143at_nat > set_Pr1986765409at_nat > product_prod_nat_nat ).
thf(func_def_85,type,
sK6: ( product_prod_nat_nat > set_nat ) > set_Pr1986765409at_nat > ( product_prod_nat_nat > set_nat ) > product_prod_nat_nat ).
thf(func_def_86,type,
sK7: set_nat > list_nat ).
thf(func_def_87,type,
sK8: list_P559422087at_nat > nat > nat ).
thf(func_def_88,type,
sK9: ( set_nat > set_nat ) > set_nat ).
thf(func_def_89,type,
sK10: ( set_nat > set_nat ) > set_nat ).
thf(func_def_90,type,
sK11: ( set_Pr1986765409at_nat > set_nat ) > set_Pr1986765409at_nat ).
thf(func_def_91,type,
sK12: ( set_Pr1986765409at_nat > set_nat ) > set_Pr1986765409at_nat ).
thf(func_def_92,type,
sK13: set_nat > produc1695820582at_nat > ( nat > set_Pr1986765409at_nat ) > nat ).
thf(func_def_93,type,
sK14: set_nat > produc1695820582at_nat > ( nat > set_Pr1986765409at_nat ) > product_prod_nat_nat ).
thf(func_def_94,type,
sK15: ( set_nat > set_Pr1986765409at_nat ) > set_nat ).
thf(func_def_95,type,
sK16: ( set_nat > set_Pr1986765409at_nat ) > set_nat ).
thf(func_def_96,type,
sK17: set_Pr1986765409at_nat > ( nat > $o ) > nat ).
thf(func_def_97,type,
sK18: set_Pr1986765409at_nat > ( nat > $o ) > nat ).
thf(func_def_98,type,
sK19: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_99,type,
sK20: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_100,type,
sK21: ( nat > nat > $o ) > nat ).
thf(func_def_101,type,
sK22: ( nat > nat > $o ) > nat ).
thf(func_def_102,type,
sK23: ( nat > nat > $o ) > nat ).
thf(func_def_103,type,
sK24: ( nat > nat > $o ) > nat ).
thf(func_def_104,type,
sK25: ( nat > set_nat ) > nat ).
thf(func_def_105,type,
sK26: ( nat > set_nat ) > nat ).
thf(func_def_106,type,
sK27: ( set_Pr1986765409at_nat > nat ) > set_Pr1986765409at_nat ).
thf(func_def_107,type,
sK28: ( set_Pr1986765409at_nat > nat ) > set_Pr1986765409at_nat ).
thf(func_def_108,type,
sK29: set_nat > ( nat > set_Pr1986765409at_nat ) > nat ).
thf(func_def_109,type,
sK30: ( set_Pr1986765409at_nat > set_nat ) > set_Pr1986765409at_nat ).
thf(func_def_110,type,
sK31: ( set_Pr1986765409at_nat > set_nat ) > set_Pr1986765409at_nat ).
thf(func_def_111,type,
sK32: ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_112,type,
sK33: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_113,type,
sK34: ( nat > set_nat ) > set_nat > ( nat > set_nat ) > nat ).
thf(func_def_114,type,
sK35: set_Pr1986765409at_nat > list_P559422087at_nat ).
thf(func_def_115,type,
sK36: nat > set_Pr1986765409at_nat > nat ).
thf(func_def_116,type,
sK37: nat > nat > set_Pr1986765409at_nat > nat ).
thf(func_def_117,type,
sK38: ( nat > nat > $o ) > set_nat > set_nat > nat ).
thf(func_def_118,type,
sK39: ( nat > nat > $o ) > set_nat > set_nat > nat ).
thf(func_def_119,type,
sK40: nat > set_Pr1986765409at_nat > nat > nat ).
thf(func_def_120,type,
sK41: ( product_prod_nat_nat > nat > $o ) > set_Pr1986765409at_nat > set_nat > product_prod_nat_nat ).
thf(func_def_121,type,
sK42: ( product_prod_nat_nat > nat > $o ) > set_Pr1986765409at_nat > set_nat > nat ).
thf(func_def_122,type,
sK43: nat > nat > list_P559422087at_nat ).
thf(func_def_123,type,
sK44: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_124,type,
sK45: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_125,type,
sK46: ( set_nat > set_Pr1986765409at_nat ) > set_nat ).
thf(func_def_126,type,
sK47: ( set_nat > set_Pr1986765409at_nat ) > set_nat ).
thf(func_def_127,type,
sK48: set_Pr1986765409at_nat > nat > nat ).
thf(func_def_128,type,
sK49: nat > ( product_prod_nat_nat > a ) > nat > list_P559422087at_nat ).
thf(func_def_129,type,
sK50: ( nat > set_nat ) > set_nat > nat ).
thf(func_def_130,type,
sK51: set_Pr1986765409at_nat > set_se1612935105at_nat > set_Pr1986765409at_nat ).
thf(func_def_131,type,
sK52: ( nat > $o ) > nat ).
thf(func_def_132,type,
sK53: ( nat > $o ) > ( nat > nat > $o ) > nat ).
thf(func_def_133,type,
sK54: nat > nat > list_P559422087at_nat ).
thf(func_def_134,type,
sK55: ( set_nat > nat ) > set_nat ).
thf(func_def_135,type,
sK56: ( set_nat > nat ) > set_nat ).
thf(func_def_136,type,
sK57: set_set_nat > set_nat > set_nat ).
thf(func_def_137,type,
sK58: ( set_Pr1986765409at_nat > nat ) > set_Pr1986765409at_nat ).
thf(func_def_138,type,
sK59: ( set_Pr1986765409at_nat > nat ) > set_Pr1986765409at_nat ).
thf(func_def_139,type,
sK60: set_nat > nat > set_Pr1986765409at_nat > nat ).
thf(func_def_140,type,
sK61: set_Pr1986765409at_nat > nat > nat ).
thf(func_def_141,type,
sK62: ( set_nat > set_nat ) > set_nat ).
thf(func_def_142,type,
sK63: ( set_nat > set_nat ) > set_nat ).
thf(func_def_143,type,
sK64: set_Pr1986765409at_nat > ( product_prod_nat_nat > set_Pr1986765409at_nat ) > product_prod_nat_nat ).
thf(func_def_144,type,
sK65: ( product_prod_nat_nat > $o ) > ( nat > product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_145,type,
sK66: ( nat > nat ) > nat ).
thf(func_def_146,type,
sK67: ( nat > nat ) > nat ).
thf(func_def_147,type,
sK68: ( product_prod_nat_nat > set_Pr1986765409at_nat ) > ( product_prod_nat_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).
thf(func_def_148,type,
sK69: nat > set_Pr1986765409at_nat > nat ).
thf(func_def_149,type,
sK70: nat > set_Pr1986765409at_nat > nat ).
thf(func_def_150,type,
sK71: ( nat > $o ) > ( product_prod_nat_nat > nat > $o ) > nat ).
thf(func_def_151,type,
sK72: product_prod_nat_nat > nat ).
thf(func_def_152,type,
sK73: product_prod_nat_nat > nat ).
thf(func_def_153,type,
sK74: set_Pr1490359111at_nat > nat > nat > nat > nat > nat ).
thf(func_def_154,type,
sK75: set_Pr1490359111at_nat > nat > nat > nat > nat > nat ).
thf(func_def_155,type,
sK76: ( nat > product_prod_nat_nat > $o ) > set_nat > set_Pr1986765409at_nat > nat ).
thf(func_def_156,type,
sK77: ( nat > product_prod_nat_nat > $o ) > set_nat > set_Pr1986765409at_nat > product_prod_nat_nat ).
thf(func_def_157,type,
sK78: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_158,type,
sK79: ( nat > set_nat ) > nat ).
thf(func_def_159,type,
sK80: ( nat > set_nat ) > nat ).
thf(func_def_160,type,
sK81: nat > set_Pr1986765409at_nat > ( nat > $o ) > nat ).
thf(func_def_161,type,
sK82: nat > set_Pr1986765409at_nat > ( nat > $o ) > nat ).
thf(func_def_162,type,
sK83: ( nat > $o ) > set_Pr1986765409at_nat > nat ).
thf(func_def_163,type,
sK84: ( nat > $o ) > set_Pr1986765409at_nat > nat ).
thf(func_def_164,type,
sK85: ( set_nat > set_Pr1986765409at_nat ) > set_nat ).
thf(func_def_165,type,
sK86: ( set_nat > set_Pr1986765409at_nat ) > set_nat ).
thf(func_def_166,type,
sK87: set_nat > nat > set_Pr1986765409at_nat > nat ).
thf(func_def_167,type,
sK88: product_prod_nat_nat > set_Pr1490359111at_nat > set_Pr1986765409at_nat > product_prod_nat_nat ).
thf(func_def_168,type,
sK89: set_Pr1986765409at_nat > set_Pr1986765409at_nat > nat ).
thf(func_def_169,type,
sK90: set_Pr1986765409at_nat > set_Pr1986765409at_nat > nat ).
thf(func_def_170,type,
sK91: ( set_nat > nat ) > set_nat ).
thf(func_def_171,type,
sK92: ( set_nat > nat ) > set_nat ).
thf(func_def_172,type,
sK93: ( set_Pr1986765409at_nat > nat ) > set_Pr1986765409at_nat ).
thf(func_def_173,type,
sK94: ( set_Pr1986765409at_nat > nat ) > set_Pr1986765409at_nat ).
thf(func_def_174,type,
sK95: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_175,type,
sK96: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_176,type,
sK97: set_nat > nat > nat ).
thf(func_def_177,type,
sK98: set_Pr1490359111at_nat > ( nat > nat > $o ) > nat > nat > nat ).
thf(func_def_178,type,
sK99: set_Pr1490359111at_nat > ( nat > nat > $o ) > nat > nat > nat ).
thf(func_def_179,type,
sK100: set_Pr1490359111at_nat > ( nat > nat > $o ) > nat > nat > nat ).
thf(func_def_180,type,
sK101: set_Pr1490359111at_nat > ( nat > nat > $o ) > nat > nat > nat ).
thf(func_def_181,type,
sK102: ( set_nat > set_nat ) > set_nat ).
thf(func_def_182,type,
sK103: ( set_nat > set_nat ) > set_nat ).
thf(func_def_183,type,
sK104: ( set_Pr1986765409at_nat > set_nat ) > set_Pr1986765409at_nat ).
thf(func_def_184,type,
sK105: ( set_Pr1986765409at_nat > set_nat ) > set_Pr1986765409at_nat ).
thf(func_def_185,type,
sK106: set_nat > set_set_nat > set_nat ).
thf(func_def_186,type,
sK107: ( set_nat > set_Pr1986765409at_nat ) > set_nat ).
thf(func_def_187,type,
sK108: ( set_nat > set_Pr1986765409at_nat ) > set_nat ).
thf(func_def_188,type,
sK109: ( set_nat > nat ) > set_nat ).
thf(func_def_189,type,
sK110: ( set_nat > nat ) > set_nat ).
thf(func_def_190,type,
sK111: ( nat > nat ) > nat ).
thf(func_def_191,type,
sK112: ( nat > nat ) > nat ).
thf(func_def_192,type,
sK113: nat > set_Pr1986765409at_nat > nat ).
thf(func_def_193,type,
sK114: set_Pr1986765409at_nat > nat > nat ).
thf(func_def_194,type,
sK115: ( nat > set_nat ) > nat ).
thf(func_def_195,type,
sK116: ( nat > set_nat ) > nat ).
thf(func_def_196,type,
sK117: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_197,type,
sK118: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_198,type,
sK119: set_Pr1986765409at_nat > produc1271302400at_nat > ( product_prod_nat_nat > set_nat ) > product_prod_nat_nat ).
thf(func_def_199,type,
sK120: set_Pr1986765409at_nat > produc1271302400at_nat > ( product_prod_nat_nat > set_nat ) > nat ).
thf(func_def_200,type,
sK121: ( product_prod_nat_nat > set_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).
thf(func_def_201,type,
sK122: nat > list_P559422087at_nat > nat ).
thf(func_def_202,type,
sK123: nat > nat > list_P559422087at_nat ).
thf(func_def_203,type,
sK124: ( nat > nat ) > nat ).
thf(func_def_204,type,
sK125: ( nat > nat ) > nat ).
thf(func_def_205,type,
sK126: ( nat > set_Pr1986765409at_nat ) > nat ).
thf(func_def_206,type,
sK127: ( nat > set_Pr1986765409at_nat ) > nat ).
thf(func_def_207,type,
sK128: ( nat > set_Pr1986765409at_nat ) > nat ).
thf(func_def_208,type,
sK129: ( nat > set_Pr1986765409at_nat ) > nat ).
thf(func_def_209,type,
sK130: ( nat > set_nat ) > ( nat > set_nat ) > set_nat > nat ).
thf(func_def_210,type,
sK131: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_211,type,
sK132: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_212,type,
sK133: ( set_Pr1986765409at_nat > nat ) > set_Pr1986765409at_nat ).
thf(func_def_213,type,
sK134: ( set_Pr1986765409at_nat > nat ) > set_Pr1986765409at_nat ).
thf(func_def_214,type,
sK135: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > set_Pr1986765409at_nat > set_Pr1986765409at_nat > product_prod_nat_nat ).
thf(func_def_215,type,
sK136: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > set_Pr1986765409at_nat > set_Pr1986765409at_nat > product_prod_nat_nat ).
thf(func_def_216,type,
sK137: set_Pr1986765409at_nat > set_se1612935105at_nat > set_Pr1986765409at_nat ).
thf(func_def_217,type,
sK138: nat > set_Pr1986765409at_nat > nat > nat ).
thf(func_def_218,type,
sK139: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_219,type,
sK140: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_220,type,
sK141: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_221,type,
sK142: product_prod_nat_nat > nat ).
thf(func_def_222,type,
sK143: product_prod_nat_nat > nat ).
thf(func_def_223,type,
sK144: list_nat > set_nat > nat ).
thf(func_def_224,type,
sK145: set_nat > nat > nat ).
thf(func_def_225,type,
sK146: set_Pr1986765409at_nat > nat > nat ).
thf(func_def_226,type,
sK147: ( nat > nat > $o ) > nat ).
thf(func_def_227,type,
sK148: set_Pr1986765409at_nat > ( nat > nat > $o ) > nat ).
thf(func_def_228,type,
sK149: set_Pr1986765409at_nat > ( nat > nat > $o ) > nat ).
thf(func_def_229,type,
sK150: set_Pr1986765409at_nat > ( nat > nat > $o ) > nat ).
thf(func_def_230,type,
sK151: list_P559422087at_nat > set_Pr1986765409at_nat > product_prod_nat_nat ).
thf(func_def_231,type,
sK152: nat > nat > nat ).
thf(func_def_232,type,
sK153: set_Pr1986765409at_nat > nat > nat > nat ).
thf(func_def_233,type,
sK154: set_Pr1986765409at_nat > nat > nat > nat ).
thf(func_def_234,type,
sK155: set_Pr1986765409at_nat > nat > nat > nat ).
thf(func_def_235,type,
sK156: ( set_nat > nat ) > set_nat ).
thf(func_def_236,type,
sK157: ( set_nat > nat ) > set_nat ).
thf(func_def_237,type,
sK158: ( set_nat > set_nat ) > set_nat ).
thf(func_def_238,type,
sK159: ( set_nat > set_nat ) > set_nat ).
thf(func_def_239,type,
sK160: set_nat > set_Pr1746169692at_nat > product_prod_nat_nat > nat ).
thf(func_def_240,type,
sK161: ( nat > nat ) > nat ).
thf(func_def_241,type,
sK162: ( nat > nat ) > nat ).
thf(func_def_242,type,
sK163: ( nat > set_nat ) > nat ).
thf(func_def_243,type,
sK164: ( nat > set_nat ) > nat ).
thf(func_def_244,type,
sK165: ( nat > set_Pr1986765409at_nat ) > set_nat > ( nat > set_Pr1986765409at_nat ) > nat ).
thf(func_def_245,type,
sK166: nat > nat > list_P559422087at_nat ).
thf(func_def_246,type,
sK167: nat > set_Pr1986765409at_nat > set_Pr1287749686at_nat > product_prod_nat_nat ).
thf(func_def_247,type,
sK168: nat > set_Pr1986765409at_nat > nat ).
thf(func_def_248,type,
sK169: nat > set_Pr1986765409at_nat > nat ).
thf(func_def_249,type,
sK170: ( nat > nat > $o ) > nat > set_Pr1490359111at_nat > nat > nat ).
thf(func_def_250,type,
sK171: ( nat > nat > $o ) > nat > set_Pr1490359111at_nat > nat > nat ).
thf(func_def_251,type,
sK172: ( nat > nat > $o ) > nat > set_Pr1490359111at_nat > nat > nat ).
thf(func_def_252,type,
sK173: ( nat > nat > $o ) > nat > set_Pr1490359111at_nat > nat > nat ).
thf(func_def_253,type,
sK174: set_nat > product_prod_nat_nat > ( nat > set_nat ) > nat ).
thf(func_def_254,type,
sK175: set_nat > product_prod_nat_nat > ( nat > set_nat ) > nat ).
thf(func_def_255,type,
sK176: nat > set_Pr1986765409at_nat > ( nat > $o ) > nat ).
thf(func_def_256,type,
sK177: nat > set_Pr1986765409at_nat > ( nat > $o ) > nat ).
thf(func_def_257,type,
sK178: ( nat > set_Pr1986765409at_nat ) > nat ).
thf(func_def_258,type,
sK179: ( nat > set_Pr1986765409at_nat ) > nat ).
thf(func_def_259,type,
sK180: ( nat > set_Pr1986765409at_nat ) > nat ).
thf(func_def_260,type,
sK181: ( nat > set_Pr1986765409at_nat ) > nat ).
thf(f2,axiom,
( ( finite772653738at_nat @ ( e_a @ c ) )
=> ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062finite_AE_A_092_060Longrightarrow_062_Afinite_AspEdges_092_060close_062) ).
thf(f25,axiom,
finite_finite_nat @ ( v_a @ c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_finite__V) ).
thf(f26,axiom,
( ( finite_finite_nat @ ( v_a @ c ) )
=> ( finite772653738at_nat @ ( e_a @ c ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_Vfin__imp__Efin) ).
thf(f355,conjecture,
finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f356,negated_conjecture,
~ ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) ),
inference(negated_conjecture,[status(cth)],[f355]) ).
thf(f390,plain,
( ( finite_finite_nat @ ( v_a @ c ) )
=> ( finite772653738at_nat @ ( e_a @ c ) ) ),
inference(rectify,[],[f26]) ).
thf(f391,plain,
( ( ( finite_finite_nat @ ( v_a @ c ) )
= $true )
=> ( ( finite772653738at_nat @ ( e_a @ c ) )
= $true ) ),
inference(fool_elimination,[],[f390]) ).
thf(f603,plain,
finite_finite_nat @ ( v_a @ c ),
inference(rectify,[],[f25]) ).
thf(f604,plain,
( ( finite_finite_nat @ ( v_a @ c ) )
= $true ),
inference(fool_elimination,[],[f603]) ).
thf(f763,plain,
~ ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) ),
inference(rectify,[],[f356]) ).
thf(f764,plain,
( ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) )
!= $true ),
inference(fool_elimination,[],[f763]) ).
thf(f858,plain,
( ( finite772653738at_nat @ ( e_a @ c ) )
=> ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) ) ),
inference(rectify,[],[f2]) ).
thf(f859,plain,
( ( ( finite772653738at_nat @ ( e_a @ c ) )
= $true )
=> ( ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) )
= $true ) ),
inference(fool_elimination,[],[f858]) ).
thf(f1049,plain,
( ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) )
!= $true ),
inference(flattening,[],[f764]) ).
thf(f1383,plain,
( ( ( finite_finite_nat @ ( v_a @ c ) )
!= $true )
| ( ( finite772653738at_nat @ ( e_a @ c ) )
= $true ) ),
inference(ennf_transformation,[],[f391]) ).
thf(f1416,plain,
( ( ( finite772653738at_nat @ ( e_a @ c ) )
!= $true )
| ( ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) )
= $true ) ),
inference(ennf_transformation,[],[f859]) ).
thf(f1866,plain,
( ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) )
!= $true ),
inference(cnf_transformation,[],[f1049]) ).
thf(f1922,plain,
( ( ( finite_finite_nat @ ( v_a @ c ) )
!= $true )
| ( ( finite772653738at_nat @ ( e_a @ c ) )
= $true ) ),
inference(cnf_transformation,[],[f1383]) ).
thf(f2125,plain,
( ( finite_finite_nat @ ( v_a @ c ) )
= $true ),
inference(cnf_transformation,[],[f604]) ).
thf(f2196,plain,
( ( ( finite772653738at_nat @ ( e_a @ c ) )
!= $true )
| ( ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) )
= $true ) ),
inference(cnf_transformation,[],[f1416]) ).
thf(f2488,definition,
( spl182_2
<=> ( ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl182_2])],[avatar_definition]) ).
thf(f2491,plain,
~ spl182_2,
inference(avatar_split_clause,[],[f1866,f2488]) ).
thf(f2508,definition,
( spl182_6
<=> ( ( finite772653738at_nat @ ( e_a @ c ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl182_6])],[avatar_definition]) ).
thf(f2538,definition,
( spl182_12
<=> ( ( finite_finite_nat @ ( v_a @ c ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl182_12])],[avatar_definition]) ).
thf(f2545,plain,
spl182_12,
inference(avatar_split_clause,[],[f2125,f2538]) ).
thf(f2551,plain,
( spl182_2
| ~ spl182_6 ),
inference(avatar_split_clause,[],[f2196,f2508,f2488]) ).
thf(f2626,plain,
( ~ spl182_12
| spl182_6 ),
inference(avatar_split_clause,[],[f1922,f2508,f2538]) ).
cnf(s2,plain,
~ spl182_2,
inference(sat_conversion,[],[f2491]) ).
cnf(s13,plain,
spl182_12,
inference(sat_conversion,[],[f2545]) ).
cnf(s15,plain,
( spl182_2
| ~ spl182_6 ),
inference(sat_conversion,[],[f2551]) ).
cnf(s34,plain,
( spl182_6
| ~ spl182_12 ),
inference(sat_conversion,[],[f2626]) ).
cnf(s35,plain,
spl182_6,
inference(rat,[],[s34,s13]) ).
cnf(s40,plain,
spl182_2,
inference(rat,[],[s15,s35]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s2,s40]) ).
thf(f2627,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ITP049^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.27 % Computer : n007.cluster.edu
% 0.11/0.27 % Model : x86_64 x86_64
% 0.11/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27 % Memory : 8046.5625MB
% 0.11/0.27 % OS : Linux 6.8.0-71-generic
% 0.11/0.27 % CPULimit : 300
% 0.11/0.27 % WCLimit : 300
% 0.11/0.27 % DateTime : Tue Sep 29 19:41:25 UTC 2026
% 0.11/0.27 % CPUTime :
% 0.11/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.32 Running higher-order theorem proving
% 0.36/0.39 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
% 1.41/0.59 % (3821079)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.41/0.59 % (3821093)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.41/0.59 % (3821093)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
% 1.41/0.59 % (3821093)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=19903842:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.41/0.59 % (3821087)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2553927582:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.41/0.59 % (3821088)lrs+10_16_si=on:nwc=1.5:random_seed=3229696735:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.41/0.59 % (3821089)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3754594510:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.41/0.59 % (3821091)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1042408285:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.41/0.59 % (3821092)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1976206652:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.41/0.59 % (3821090)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=3876259830: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)
% 1.41/0.59 % (3821089)Instruction limit reached!
% 1.41/0.59 % (3821089)------------------------------
% 1.41/0.59 % (3821089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.59 % (3821089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.59 % (3821089)CaDiCaL version: 2.1.3
% 1.41/0.59 % (3821089)Termination reason: Instruction limit
% 1.41/0.59 % (3821089)Termination phase: shuffling
% 1.41/0.59 % (3821089)Time elapsed: 0.004 s
% 1.41/0.59 % (3821089)Peak memory usage: 10 MB
% 1.41/0.59 % (3821089)Instructions burned: 3 (million)
% 1.41/0.59 % (3821088)Instruction limit reached!
% 1.41/0.59 % (3821088)------------------------------
% 1.41/0.59 % (3821088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.59 % (3821088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.59 % (3821088)CaDiCaL version: 2.1.3
% 1.41/0.59 % (3821088)Termination reason: Instruction limit
% 1.41/0.59 % (3821088)Termination phase: shuffling
% 1.41/0.59 % (3821088)Time elapsed: 0.016 s
% 1.41/0.59 % (3821088)Peak memory usage: 10 MB
% 1.41/0.59 % (3821088)Instructions burned: 18 (million)
% 1.41/0.59 % (3821091)Instruction limit reached!
% 1.41/0.59 % (3821091)------------------------------
% 1.41/0.59 % (3821091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.59 % (3821091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.59 % (3821091)CaDiCaL version: 2.1.3
% 1.41/0.59 % (3821091)Termination reason: Instruction limit
% 1.41/0.59 % (3821091)Termination phase: shuffling
% 1.41/0.59 % (3821091)Time elapsed: 0.020 s
% 1.41/0.59 % (3821091)Peak memory usage: 10 MB
% 1.41/0.59 % (3821091)Instructions burned: 24 (million)
% 1.41/0.59 % (3821101)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1926752243:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.41/0.59 % (3821101)Instruction limit reached!
% 1.41/0.59 % (3821101)------------------------------
% 1.41/0.59 % (3821101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.59 % (3821101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.59 % (3821101)CaDiCaL version: 2.1.3
% 1.41/0.59 % (3821101)Termination reason: Instruction limit
% 1.41/0.59 % (3821101)Termination phase: shuffling
% 1.41/0.59 % (3821101)Time elapsed: 0.003 s
% 1.41/0.59 % (3821101)Peak memory usage: 10 MB
% 1.41/0.59 % (3821101)Instructions burned: 2 (million)
% 1.41/0.59 % (3821102)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=673429409:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.41/0.62 % (3821103)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.41/0.62 % (3821102)Instruction limit reached!
% 1.41/0.62 % (3821102)------------------------------
% 1.41/0.62 % (3821102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.62 % (3821102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.62 % (3821102)CaDiCaL version: 2.1.3
% 1.41/0.62 % (3821102)Termination reason: Instruction limit
% 1.41/0.62 % (3821102)Termination phase: shuffling
% 1.41/0.62 % (3821102)Time elapsed: 0.005 s
% 1.41/0.62 % (3821102)Peak memory usage: 10 MB
% 1.41/0.62 % (3821102)Instructions burned: 5 (million)
% 1.41/0.62 % (3821093)Instruction limit reached!
% 1.41/0.62 % (3821093)------------------------------
% 1.41/0.62 % (3821093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.62 % (3821093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.62 % (3821093)CaDiCaL version: 2.1.3
% 1.41/0.62 % (3821093)Termination reason: Instruction limit
% 1.41/0.62 % (3821093)Termination phase: Saturation
% 1.41/0.62 % (3821093)Time elapsed: 0.068 s
% 1.41/0.62 % (3821093)Peak memory usage: 13 MB
% 1.41/0.62 % (3821093)Instructions burned: 158 (million)
% 1.41/0.62 % (3821103)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3268734701:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.41/0.62 % (3821092)Instruction limit reached!
% 1.41/0.62 % (3821092)------------------------------
% 1.41/0.62 % (3821092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.62 % (3821092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.62 % (3821092)CaDiCaL version: 2.1.3
% 1.41/0.62 % (3821092)Termination reason: Instruction limit
% 1.41/0.62 % (3821092)Termination phase: Preprocessing 3
% 1.41/0.62 % (3821092)Time elapsed: 0.063 s
% 1.41/0.62 % (3821092)Peak memory usage: 12 MB
% 1.41/0.62 % (3821092)Instructions burned: 76 (million)
% 1.41/0.62 % (3821103)Instruction limit reached!
% 1.41/0.62 % (3821103)------------------------------
% 1.41/0.62 % (3821103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.62 % (3821103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.62 % (3821103)CaDiCaL version: 2.1.3
% 1.41/0.62 % (3821103)Termination reason: Instruction limit
% 1.41/0.62 % (3821103)Termination phase: shuffling
% 1.41/0.62 % (3821103)Time elapsed: 0.007 s
% 1.41/0.62 % (3821103)Peak memory usage: 10 MB
% 1.41/0.62 % (3821103)Instructions burned: 8 (million)
% 1.41/0.62 % (3821087)Instruction limit reached!
% 1.41/0.62 % (3821087)------------------------------
% 1.41/0.62 % (3821087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.62 % (3821087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.62 % (3821087)CaDiCaL version: 2.1.3
% 1.41/0.62 % (3821087)Termination reason: Instruction limit
% 1.41/0.62 % (3821087)Termination phase: Property scanning
% 1.41/0.62 % (3821087)Time elapsed: 0.076 s
% 1.41/0.62 % (3821087)Peak memory usage: 12 MB
% 1.41/0.62 % (3821087)Instructions burned: 87 (million)
% 1.41/0.62 % (3821108)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
% 1.41/0.62 % (3821108)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.41/0.62 % (3821106)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3235432519:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.41/0.62 % (3821108)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=116322765:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.41/0.62 % (3821112)lrs+10_1_si=on:cs=on:random_seed=3157194042:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.41/0.62 % (3821106)Instruction limit reached!
% 1.41/0.62 % (3821106)------------------------------
% 1.41/0.62 % (3821106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.62 % (3821106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.62 % (3821106)CaDiCaL version: 2.1.3
% 1.41/0.62 % (3821106)Termination reason: Instruction limit
% 1.41/0.62 % (3821106)Termination phase: shuffling
% 1.41/0.62 % (3821106)Time elapsed: 0.011 s
% 1.41/0.62 % (3821106)Peak memory usage: 10 MB
% 1.41/0.62 % (3821106)Instructions burned: 12 (million)
% 1.41/0.62 % (3821112)Instruction limit reached!
% 1.41/0.62 % (3821112)------------------------------
% 1.41/0.62 % (3821112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.62 % (3821112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.62 % (3821112)CaDiCaL version: 2.1.3
% 1.41/0.62 % (3821112)Termination reason: Instruction limit
% 1.41/0.62 % (3821112)Termination phase: shuffling
% 1.41/0.62 % (3821112)Time elapsed: 0.004 s
% 1.41/0.62 % (3821112)Peak memory usage: 10 MB
% 1.41/0.62 % (3821112)Instructions burned: 9 (million)
% 1.41/0.62 % (3821109)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=3682017646:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.41/0.62 % (3821113)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.41/0.62 % (3821108)Instruction limit reached!
% 1.41/0.62 % (3821108)------------------------------
% 1.41/0.62 % (3821108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.62 % (3821108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.62 % (3821108)CaDiCaL version: 2.1.3
% 1.41/0.62 % (3821108)Termination reason: Instruction limit
% 1.41/0.62 % (3821108)Termination phase: shuffling
% 1.41/0.62 % (3821108)Time elapsed: 0.017 s
% 1.41/0.62 % (3821108)Peak memory usage: 10 MB
% 1.41/0.62 % (3821108)Instructions burned: 28 (million)
% 1.41/0.62 % (3821113)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=1952659987:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.41/0.62 % (3821113)Instruction limit reached!
% 1.41/0.62 % (3821113)------------------------------
% 1.41/0.62 % (3821113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.62 % (3821113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.62 % (3821113)CaDiCaL version: 2.1.3
% 1.41/0.62 % (3821113)Termination reason: Instruction limit
% 1.41/0.62 % (3821113)Termination phase: shuffling
% 1.41/0.62 % (3821113)Time elapsed: 0.005 s
% 1.41/0.62 % (3821113)Peak memory usage: 10 MB
% 1.41/0.62 % (3821113)Instructions burned: 5 (million)
% 1.41/0.62 % (3821114)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3264400000:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.41/0.62 % (3821120)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4192800451:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.41/0.62 % (3821120)Instruction limit reached!
% 1.41/0.62 % (3821120)------------------------------
% 1.41/0.62 % (3821120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.62 % (3821120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.62 % (3821120)CaDiCaL version: 2.1.3
% 1.41/0.62 % (3821120)Termination reason: Instruction limit
% 1.41/0.62 % (3821120)Termination phase: shuffling
% 1.41/0.62 % (3821120)Time elapsed: 0.012 s
% 1.41/0.62 % (3821120)Peak memory usage: 11 MB
% 1.41/0.62 % (3821120)Instructions burned: 26 (million)
% 1.41/0.62 % (3821118)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=81263059:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.41/0.62 % (3821121)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=761874553:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.41/0.62 % (3821126)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2201475354:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.41/0.62 % (3821123)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=554920301:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.41/0.62 % (3821114)Instruction limit reached!
% 1.41/0.62 % (3821114)------------------------------
% 1.41/0.62 % (3821114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.62 % (3821114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.62 % (3821114)CaDiCaL version: 2.1.3
% 1.41/0.62 % (3821114)Termination reason: Instruction limit
% 1.41/0.62 % (3821114)Termination phase: Property scanning
% 1.41/0.62 % (3821114)Time elapsed: 0.032 s
% 1.41/0.62 % (3821114)Peak memory usage: 11 MB
% 1.41/0.62 % (3821114)Instructions burned: 39 (million)
% 1.41/0.62 % (3821121)Instruction limit reached!
% 1.41/0.62 % (3821121)------------------------------
% 1.41/0.62 % (3821121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.62 % (3821121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.62 % (3821121)CaDiCaL version: 2.1.3
% 1.41/0.62 % (3821121)Termination reason: Instruction limit
% 1.41/0.62 % (3821121)Termination phase: shuffling
% 1.41/0.62 % (3821121)Time elapsed: 0.013 s
% 1.41/0.62 % (3821121)Peak memory usage: 10 MB
% 1.41/0.62 % (3821121)Instructions burned: 14 (million)
% 1.41/0.62 % (3821126)Instruction limit reached!
% 1.41/0.62 % (3821126)------------------------------
% 1.41/0.62 % (3821126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.62 % (3821126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.62 % (3821126)CaDiCaL version: 2.1.3
% 1.41/0.62 % (3821126)Termination reason: Instruction limit
% 1.41/0.62 % (3821126)Termination phase: shuffling
% 1.41/0.62 % (3821126)Time elapsed: 0.007 s
% 1.41/0.62 % (3821126)Peak memory usage: 10 MB
% 1.41/0.62 % (3821126)Instructions burned: 14 (million)
% 1.41/0.62 % (3821090) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3821079-3821090"...
% 1.41/0.62 % (3821133)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=893006941:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.41/0.62 % (3821109)Instruction limit reached!
% 1.41/0.62 % (3821109)------------------------------
% 1.41/0.62 % (3821109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.62 % (3821109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.62 % (3821109)CaDiCaL version: 2.1.3
% 1.41/0.62 % (3821109)Termination reason: Instruction limit
% 1.41/0.62 % (3821109)Termination phase: Property scanning
% 1.41/0.62 % (3821109)Time elapsed: 0.071 s
% 1.41/0.62 % (3821109)Peak memory usage: 11 MB
% 1.41/0.62 % (3821109)Instructions burned: 86 (million)
% 1.41/0.62 % (3821090)...printing done.
% 1.41/0.62 % (3821090)Refutation found. Thanks to Tanya!
% 1.41/0.62 % SZS status Theorem for theBenchmark
% 1.41/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.62 % (3821090)------------------------------
% 1.41/0.62 % (3821090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.62 % (3821090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.62 % (3821090)CaDiCaL version: 2.1.3
% 1.41/0.62 % (3821090)Termination reason: Refutation
% 1.41/0.62 % (3821090)Time elapsed: 0.160 s
% 1.41/0.62 % (3821090)Peak memory usage: 14 MB
% 1.41/0.62 % (3821090)Instructions burned: 191 (million)
% 1.41/0.62 % (3821079)Success in time 0.221 s
% 1.41/0.62 % Vampire exiting
%------------------------------------------------------------------------------