%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP036^1 : 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 : 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 08:08:03 AM UTC 2026
% Result : Theorem 0.98s 0.46s
% Output : Refutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 15 unt; 0 typ; 2 def)
% Number of atoms : 81 ( 17 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 298 ( 21 ~; 11 |; 4 &; 260 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 22 ( 21 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 213 ( 210 usr; 17 con; 0-4 aty)
% Number of variables : 6 ( 0 sgn 2 !; 4 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr242060487real_c: $tType ).
thf(type_def_6,type,
produc1037099239real_c: $tType ).
thf(type_def_7,type,
set_Pr754230471real_c: $tType ).
thf(type_def_8,type,
produc640052711real_c: $tType ).
thf(type_def_9,type,
produc1360640805um_b_c: $tType ).
thf(type_def_10,type,
produc1470506001real_c: $tType ).
thf(type_def_11,type,
produc793920321um_c_c: $tType ).
thf(type_def_12,type,
produc777402865um_c_c: $tType ).
thf(type_def_13,type,
produc1415638375um_b_c: $tType ).
thf(type_def_14,type,
set_Pr1389752855real_c: $tType ).
thf(type_def_15,type,
produc263671631um_b_c: $tType ).
thf(type_def_16,type,
produc1573491071um_c_c: $tType ).
thf(type_def_17,type,
produc190496183real_c: $tType ).
thf(type_def_18,type,
produc214722967um_c_c: $tType ).
thf(type_def_19,type,
denota231621370t_unit: $tType ).
thf(type_def_20,type,
set_Su1783761653um_b_c: $tType ).
thf(type_def_21,type,
sum_su737395349um_b_c: $tType ).
thf(type_def_22,type,
finite1398487019real_c: $tType ).
thf(type_def_23,type,
set_Sum_sum_c_c: $tType ).
thf(type_def_24,type,
hp_a_b_c: $tType ).
thf(type_def_25,type,
sum_sum_c_c: $tType ).
thf(type_def_26,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bNF_Ca318582436um_b_c: set_Pr1389752855real_c > ( finite1398487019real_c > set_Su1783761653um_b_c ) > $o ).
thf(func_def_1,type,
bNF_Ca1693016812um_c_c: set_Pr1389752855real_c > ( finite1398487019real_c > set_Sum_sum_c_c ) > $o ).
thf(func_def_2,type,
bNF_Ca419199138um_b_c: set_Pr754230471real_c > ( produc190496183real_c > set_Su1783761653um_b_c ) > $o ).
thf(func_def_3,type,
bNF_Ca1667803246um_c_c: set_Pr754230471real_c > ( produc190496183real_c > set_Sum_sum_c_c ) > $o ).
thf(func_def_4,type,
coinci354700372_a_b_c: hp_a_b_c > denota231621370t_unit > denota231621370t_unit > $o ).
thf(func_def_5,type,
coinci1852866155_a_b_c: hp_a_b_c > $o ).
thf(func_def_6,type,
coinci772602909_a_b_c: hp_a_b_c > denota231621370t_unit > $o ).
thf(func_def_7,type,
denota69106024_a_b_c: denota231621370t_unit > denota231621370t_unit > set_Su1783761653um_b_c > $o ).
thf(func_def_8,type,
denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).
thf(func_def_9,type,
denota904684656_a_b_c: denota231621370t_unit > hp_a_b_c > set_Pr754230471real_c ).
thf(func_def_10,type,
sup_su2141622551real_c: finite1398487019real_c > finite1398487019real_c > finite1398487019real_c ).
thf(func_def_11,type,
sup_su1639086475real_c: produc190496183real_c > produc190496183real_c > produc190496183real_c ).
thf(func_def_12,type,
sup_su1399591867real_c: produc640052711real_c > produc640052711real_c > produc640052711real_c ).
thf(func_def_13,type,
sup_su1009753337um_b_c: produc1360640805um_b_c > produc1360640805um_b_c > produc1360640805um_b_c ).
thf(func_def_14,type,
sup_su1347303021um_c_c: produc793920321um_c_c > produc793920321um_c_c > produc793920321um_c_c ).
thf(func_def_15,type,
sup_su1580927803um_b_c: produc1415638375um_b_c > produc1415638375um_b_c > produc1415638375um_b_c ).
thf(func_def_16,type,
sup_su1731217579um_c_c: produc1573491071um_c_c > produc1573491071um_c_c > produc1573491071um_c_c ).
thf(func_def_17,type,
sup_su2023888701real_c: produc1470506001real_c > produc1470506001real_c > produc1470506001real_c ).
thf(func_def_18,type,
sup_su505296157um_c_c: produc777402865um_c_c > produc777402865um_c_c > produc777402865um_c_c ).
thf(func_def_19,type,
sup_su421398139um_b_c: produc263671631um_b_c > produc263671631um_b_c > produc263671631um_b_c ).
thf(func_def_20,type,
sup_su1672617323um_c_c: produc214722967um_c_c > produc214722967um_c_c > produc214722967um_c_c ).
thf(func_def_21,type,
sup_su1857314283real_c: set_Pr1389752855real_c > set_Pr1389752855real_c > set_Pr1389752855real_c ).
thf(func_def_22,type,
sup_su588839579real_c: set_Pr754230471real_c > set_Pr754230471real_c > set_Pr754230471real_c ).
thf(func_def_23,type,
sup_su880588443real_c: set_Pr242060487real_c > set_Pr242060487real_c > set_Pr242060487real_c ).
thf(func_def_24,type,
sup_su1968964297um_b_c: set_Su1783761653um_b_c > set_Su1783761653um_b_c > set_Su1783761653um_b_c ).
thf(func_def_25,type,
sup_su1349021703um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(func_def_26,type,
ord_le775706699real_c: finite1398487019real_c > finite1398487019real_c > $o ).
thf(func_def_27,type,
ord_le850691415real_c: produc190496183real_c > produc190496183real_c > $o ).
thf(func_def_28,type,
ord_le652477831real_c: produc640052711real_c > produc640052711real_c > $o ).
thf(func_def_29,type,
ord_le907560199um_b_c: produc1415638375um_b_c > produc1415638375um_b_c > $o ).
thf(func_def_30,type,
ord_le1852514783um_c_c: produc1573491071um_c_c > produc1573491071um_c_c > $o ).
thf(func_def_31,type,
ord_le542695343um_b_c: produc263671631um_b_c > produc263671631um_b_c > $o ).
thf(func_def_32,type,
ord_le684454199um_c_c: produc214722967um_c_c > produc214722967um_c_c > $o ).
thf(func_def_33,type,
ord_le977353143real_c: set_Pr1389752855real_c > set_Pr1389752855real_c > $o ).
thf(func_def_34,type,
ord_le1988344935real_c: set_Pr754230471real_c > set_Pr754230471real_c > $o ).
thf(func_def_35,type,
ord_le100418663real_c: set_Pr242060487real_c > set_Pr242060487real_c > $o ).
thf(func_def_36,type,
ord_le929608341um_b_c: set_Su1783761653um_b_c > set_Su1783761653um_b_c > $o ).
thf(func_def_37,type,
ord_le1772180283um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > $o ).
thf(func_def_38,type,
order_365181262um_b_c: ( set_Su1783761653um_b_c > $o ) > set_Su1783761653um_b_c ).
thf(func_def_39,type,
order_1776530114um_c_c: ( set_Sum_sum_c_c > $o ) > set_Sum_sum_c_c ).
thf(func_def_40,type,
produc394644079real_c: finite1398487019real_c > finite1398487019real_c > produc190496183real_c ).
thf(func_def_41,type,
produc1687028567real_c: produc190496183real_c > produc190496183real_c > produc640052711real_c ).
thf(func_def_42,type,
produc2010919061um_b_c: produc190496183real_c > set_Su1783761653um_b_c > produc1360640805um_b_c ).
thf(func_def_43,type,
produc639456571um_c_c: produc190496183real_c > set_Sum_sum_c_c > produc793920321um_c_c ).
thf(func_def_44,type,
produc544496471real_c: produc640052711real_c > produc640052711real_c > produc1037099239real_c ).
thf(func_def_45,type,
produc754249687um_b_c: set_Su1783761653um_b_c > set_Su1783761653um_b_c > produc1415638375um_b_c ).
thf(func_def_46,type,
produc616453753um_c_c: set_Su1783761653um_b_c > set_Sum_sum_c_c > produc1573491071um_c_c ).
thf(func_def_47,type,
produc439851843real_c: set_Sum_sum_c_c > produc190496183real_c > produc1470506001real_c ).
thf(func_def_48,type,
produc1333497635um_c_c: set_Sum_sum_c_c > produc214722967um_c_c > produc777402865um_c_c ).
thf(func_def_49,type,
produc919784577um_b_c: set_Sum_sum_c_c > set_Su1783761653um_b_c > produc263671631um_b_c ).
thf(func_def_50,type,
produc1439061071um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > produc214722967um_c_c ).
thf(func_def_51,type,
produc2010422875real_c: produc190496183real_c > finite1398487019real_c ).
thf(func_def_52,type,
produc876006723real_c: produc640052711real_c > produc190496183real_c ).
thf(func_def_53,type,
produc1961869763um_b_c: produc1415638375um_b_c > set_Su1783761653um_b_c ).
thf(func_def_54,type,
produc1455464333um_c_c: produc1573491071um_c_c > set_Su1783761653um_b_c ).
thf(func_def_55,type,
produc1758795157um_b_c: produc263671631um_b_c > set_Sum_sum_c_c ).
thf(func_def_56,type,
produc1983230011um_c_c: produc214722967um_c_c > set_Sum_sum_c_c ).
thf(func_def_57,type,
produc314122909real_c: produc190496183real_c > finite1398487019real_c ).
thf(func_def_58,type,
produc415593093real_c: produc640052711real_c > produc190496183real_c ).
thf(func_def_59,type,
produc932426501um_b_c: produc1415638375um_b_c > set_Su1783761653um_b_c ).
thf(func_def_60,type,
produc890433227um_c_c: produc1573491071um_c_c > set_Sum_sum_c_c ).
thf(func_def_61,type,
produc1193764051um_b_c: produc263671631um_b_c > set_Su1783761653um_b_c ).
thf(func_def_62,type,
produc1132019837um_c_c: produc214722967um_c_c > set_Sum_sum_c_c ).
thf(func_def_63,type,
produc704157711real_c: produc190496183real_c > produc190496183real_c ).
thf(func_def_64,type,
produc350724343real_c: produc640052711real_c > produc640052711real_c ).
thf(func_def_65,type,
collec1126017874real_c: ( produc640052711real_c > $o ) > set_Pr754230471real_c ).
thf(func_def_66,type,
collec2086029184um_b_c: ( sum_su737395349um_b_c > $o ) > set_Su1783761653um_b_c ).
thf(func_def_67,type,
collect_Sum_sum_c_c: ( sum_sum_c_c > $o ) > set_Sum_sum_c_c ).
thf(func_def_68,type,
static_FVP_a_b_c: hp_a_b_c > set_Sum_sum_c_c ).
thf(func_def_69,type,
static_MBV_a_b_c: hp_a_b_c > set_Sum_sum_c_c ).
thf(func_def_70,type,
static_SIGP_a_b_c: hp_a_b_c > set_Su1783761653um_b_c ).
thf(func_def_71,type,
choice_a_b_c: hp_a_b_c > hp_a_b_c > hp_a_b_c ).
thf(func_def_72,type,
hpsafe_a_b_c: hp_a_b_c > $o ).
thf(func_def_73,type,
same_f1974156740real_c: ( finite1398487019real_c > $o ) > ( finite1398487019real_c > set_Pr1389752855real_c ) > set_Pr754230471real_c ).
thf(func_def_74,type,
same_f598810924real_c: ( produc190496183real_c > $o ) > ( produc190496183real_c > set_Pr754230471real_c ) > set_Pr242060487real_c ).
thf(func_def_75,type,
member1895684704real_c: produc190496183real_c > set_Pr1389752855real_c > $o ).
thf(func_def_76,type,
member346808080real_c: produc640052711real_c > set_Pr754230471real_c > $o ).
thf(func_def_77,type,
member616151824real_c: produc1037099239real_c > set_Pr242060487real_c > $o ).
thf(func_def_78,type,
member1893232190um_b_c: sum_su737395349um_b_c > set_Su1783761653um_b_c > $o ).
thf(func_def_79,type,
member_Sum_sum_c_c: sum_sum_c_c > set_Sum_sum_c_c > $o ).
thf(func_def_80,type,
i: denota231621370t_unit ).
thf(func_def_81,type,
j: denota231621370t_unit ).
thf(func_def_82,type,
v: set_Sum_sum_c_c ).
thf(func_def_83,type,
mu: produc190496183real_c ).
thf(func_def_84,type,
mu2: finite1398487019real_c ).
thf(func_def_85,type,
mu3: finite1398487019real_c ).
thf(func_def_86,type,
nu_1: finite1398487019real_c ).
thf(func_def_87,type,
nu_12: finite1398487019real_c ).
thf(func_def_88,type,
nu_2: finite1398487019real_c ).
thf(func_def_89,type,
nu_22: finite1398487019real_c ).
thf(func_def_90,type,
a: hp_a_b_c ).
thf(func_def_91,type,
b: hp_a_b_c ).
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_97,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_98,type,
vIMP: $o > $o > $o ).
thf(func_def_99,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_100,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_101,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_102,type,
vAND: $o > $o > $o ).
thf(func_def_103,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_104,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_105,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_106,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_107,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_108,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_109,type,
sK0: ( set_Sum_sum_c_c > set_Su1783761653um_b_c ) > set_Sum_sum_c_c ).
thf(func_def_110,type,
sK1: ( set_Sum_sum_c_c > set_Su1783761653um_b_c ) > set_Sum_sum_c_c ).
thf(func_def_111,type,
sK2: produc640052711real_c > produc190496183real_c ).
thf(func_def_112,type,
sK3: produc640052711real_c > produc190496183real_c ).
thf(func_def_113,type,
sK4: set_Su1783761653um_b_c > set_Su1783761653um_b_c > sum_su737395349um_b_c ).
thf(func_def_114,type,
sK5: ( set_Su1783761653um_b_c > set_Su1783761653um_b_c ) > set_Su1783761653um_b_c ).
thf(func_def_115,type,
sK6: ( set_Su1783761653um_b_c > set_Su1783761653um_b_c ) > set_Su1783761653um_b_c ).
thf(func_def_116,type,
sK7: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_117,type,
sK8: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_118,type,
sK9: produc190496183real_c > finite1398487019real_c ).
thf(func_def_119,type,
sK10: produc190496183real_c > finite1398487019real_c ).
thf(func_def_120,type,
sK11: produc640052711real_c > produc190496183real_c > produc190496183real_c ).
thf(func_def_121,type,
sK12: ( set_Su1783761653um_b_c > set_Su1783761653um_b_c ) > set_Su1783761653um_b_c ).
thf(func_def_122,type,
sK13: ( set_Su1783761653um_b_c > set_Su1783761653um_b_c ) > set_Su1783761653um_b_c ).
thf(func_def_123,type,
sK14: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).
thf(func_def_124,type,
sK15: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(func_def_125,type,
sK16: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(func_def_126,type,
sK17: ( sum_su737395349um_b_c > $o ) > ( sum_su737395349um_b_c > $o ) > sum_su737395349um_b_c ).
thf(func_def_127,type,
sK18: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_128,type,
sK19: ( set_Su1783761653um_b_c > $o ) > ( set_Su1783761653um_b_c > $o ) > set_Su1783761653um_b_c ).
thf(func_def_129,type,
sK20: ( set_Su1783761653um_b_c > $o ) > set_Su1783761653um_b_c > set_Su1783761653um_b_c ).
thf(func_def_130,type,
sK21: set_Pr242060487real_c > set_Pr242060487real_c > produc1037099239real_c ).
thf(func_def_131,type,
sK22: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_132,type,
sK23: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_133,type,
sK24: ( set_Su1783761653um_b_c > set_Sum_sum_c_c ) > set_Su1783761653um_b_c ).
thf(func_def_134,type,
sK25: ( set_Su1783761653um_b_c > set_Sum_sum_c_c ) > set_Su1783761653um_b_c ).
thf(func_def_135,type,
sK26: ( produc640052711real_c > $o ) > produc190496183real_c ).
thf(func_def_136,type,
sK27: ( produc640052711real_c > $o ) > produc190496183real_c ).
thf(func_def_137,type,
sK28: ( set_Sum_sum_c_c > $o ) > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(func_def_138,type,
sK29: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_139,type,
sK30: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_140,type,
sK31: ( set_Su1783761653um_b_c > $o ) > set_Su1783761653um_b_c > set_Su1783761653um_b_c ).
thf(func_def_141,type,
sK32: ( set_Su1783761653um_b_c > set_Su1783761653um_b_c > set_Su1783761653um_b_c ) > set_Su1783761653um_b_c ).
thf(func_def_142,type,
sK33: ( set_Su1783761653um_b_c > set_Su1783761653um_b_c > set_Su1783761653um_b_c ) > set_Su1783761653um_b_c ).
thf(func_def_143,type,
sK34: ( set_Su1783761653um_b_c > set_Su1783761653um_b_c > set_Su1783761653um_b_c ) > set_Su1783761653um_b_c ).
thf(func_def_144,type,
sK35: ( set_Su1783761653um_b_c > set_Su1783761653um_b_c > set_Su1783761653um_b_c ) > set_Su1783761653um_b_c ).
thf(func_def_145,type,
sK36: ( set_Su1783761653um_b_c > set_Su1783761653um_b_c > set_Su1783761653um_b_c ) > set_Su1783761653um_b_c ).
thf(func_def_146,type,
sK37: ( set_Su1783761653um_b_c > set_Su1783761653um_b_c > set_Su1783761653um_b_c ) > set_Su1783761653um_b_c ).
thf(func_def_147,type,
sK38: ( set_Su1783761653um_b_c > set_Su1783761653um_b_c > set_Su1783761653um_b_c ) > set_Su1783761653um_b_c ).
thf(func_def_148,type,
sK39: ( set_Sum_sum_c_c > $o ) > ( set_Sum_sum_c_c > $o ) > set_Sum_sum_c_c ).
thf(func_def_149,type,
sK40: ( set_Sum_sum_c_c > $o ) > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(func_def_150,type,
sK41: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_151,type,
sK42: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_152,type,
sK43: ( produc640052711real_c > $o ) > finite1398487019real_c ).
thf(func_def_153,type,
sK44: ( produc640052711real_c > $o ) > finite1398487019real_c ).
thf(func_def_154,type,
sK45: ( produc640052711real_c > $o ) > produc190496183real_c ).
thf(func_def_155,type,
sK46: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > denota231621370t_unit > produc190496183real_c ).
thf(func_def_156,type,
sK47: set_Pr754230471real_c > set_Pr754230471real_c > produc640052711real_c ).
thf(func_def_157,type,
sK48: set_Sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_158,type,
sK49: ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_159,type,
sK50: set_Sum_sum_c_c > ( sum_sum_c_c > $o ) > sum_sum_c_c ).
thf(func_def_160,type,
sK51: produc190496183real_c ).
thf(func_def_161,type,
sK52: set_Sum_sum_c_c > produc190496183real_c > produc190496183real_c > denota231621370t_unit > produc190496183real_c ).
thf(func_def_162,type,
sK53: ( sum_su737395349um_b_c > $o ) > ( sum_su737395349um_b_c > $o ) > sum_su737395349um_b_c ).
thf(func_def_163,type,
sK54: set_Su1783761653um_b_c > set_Su1783761653um_b_c > set_Su1783761653um_b_c > set_Su1783761653um_b_c ).
thf(func_def_164,type,
sK55: set_Su1783761653um_b_c > set_Su1783761653um_b_c > set_Su1783761653um_b_c > set_Su1783761653um_b_c ).
thf(func_def_165,type,
sK56: ( set_Sum_sum_c_c > set_Su1783761653um_b_c ) > set_Sum_sum_c_c ).
thf(func_def_166,type,
sK57: ( set_Sum_sum_c_c > set_Su1783761653um_b_c ) > set_Sum_sum_c_c ).
thf(func_def_167,type,
sK58: ( sum_sum_c_c > $o ) > ( sum_sum_c_c > $o ) > sum_sum_c_c ).
thf(func_def_168,type,
sK59: ( set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_169,type,
sK60: ( set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_170,type,
sK61: ( set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_171,type,
sK62: ( set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_172,type,
sK63: ( set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_173,type,
sK64: ( set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_174,type,
sK65: ( set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_175,type,
sK66: produc640052711real_c > finite1398487019real_c ).
thf(func_def_176,type,
sK67: produc640052711real_c > produc190496183real_c ).
thf(func_def_177,type,
sK68: produc640052711real_c > finite1398487019real_c ).
thf(func_def_178,type,
sK69: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_179,type,
sK70: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_180,type,
sK71: produc640052711real_c > produc190496183real_c > produc190496183real_c ).
thf(func_def_181,type,
sK72: ( set_Sum_sum_c_c > set_Su1783761653um_b_c ) > set_Sum_sum_c_c ).
thf(func_def_182,type,
sK73: ( set_Sum_sum_c_c > set_Su1783761653um_b_c ) > set_Sum_sum_c_c ).
thf(func_def_183,type,
sK74: finite1398487019real_c > produc190496183real_c > finite1398487019real_c ).
thf(func_def_184,type,
sK75: finite1398487019real_c > produc190496183real_c > finite1398487019real_c ).
thf(func_def_185,type,
sK76: ( set_Sum_sum_c_c > set_Su1783761653um_b_c ) > set_Sum_sum_c_c ).
thf(func_def_186,type,
sK77: ( set_Sum_sum_c_c > set_Su1783761653um_b_c ) > set_Sum_sum_c_c ).
thf(func_def_187,type,
sK78: ( set_Su1783761653um_b_c > set_Sum_sum_c_c ) > set_Su1783761653um_b_c ).
thf(func_def_188,type,
sK79: ( set_Su1783761653um_b_c > set_Sum_sum_c_c ) > set_Su1783761653um_b_c ).
thf(func_def_189,type,
sK80: ( set_Su1783761653um_b_c > set_Su1783761653um_b_c ) > set_Su1783761653um_b_c ).
thf(func_def_190,type,
sK81: ( set_Su1783761653um_b_c > set_Su1783761653um_b_c ) > set_Su1783761653um_b_c ).
thf(func_def_191,type,
sK82: produc190496183real_c > finite1398487019real_c ).
thf(func_def_192,type,
sK83: produc190496183real_c > finite1398487019real_c ).
thf(func_def_193,type,
sK84: ( produc640052711real_c > $o ) > produc190496183real_c ).
thf(func_def_194,type,
sK85: ( produc640052711real_c > $o ) > produc190496183real_c ).
thf(func_def_195,type,
sK86: ( set_Su1783761653um_b_c > set_Sum_sum_c_c ) > set_Su1783761653um_b_c ).
thf(func_def_196,type,
sK87: ( set_Su1783761653um_b_c > set_Sum_sum_c_c ) > set_Su1783761653um_b_c ).
thf(func_def_197,type,
sK88: produc640052711real_c > produc190496183real_c ).
thf(func_def_198,type,
sK89: produc640052711real_c > produc190496183real_c ).
thf(func_def_199,type,
sK90: ( set_Su1783761653um_b_c > set_Sum_sum_c_c ) > set_Su1783761653um_b_c ).
thf(func_def_200,type,
sK91: ( set_Su1783761653um_b_c > set_Sum_sum_c_c ) > set_Su1783761653um_b_c ).
thf(func_def_201,type,
sK92: ( sum_sum_c_c > $o ) > ( sum_sum_c_c > $o ) > sum_sum_c_c ).
thf(func_def_202,type,
sK93: ( set_Su1783761653um_b_c > set_Su1783761653um_b_c ) > set_Su1783761653um_b_c ).
thf(func_def_203,type,
sK94: ( set_Su1783761653um_b_c > set_Su1783761653um_b_c ) > set_Su1783761653um_b_c ).
thf(func_def_204,type,
sK95: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_205,type,
sK96: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_206,type,
sK97: set_Sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_207,type,
sK98: set_Sum_sum_c_c > ( sum_sum_c_c > $o ) > sum_sum_c_c ).
thf(func_def_208,type,
sK99: ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_209,type,
vNOT: $o > $o ).
thf(f3,axiom,
member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_prog__sem_H) ).
thf(f4,axiom,
denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_agree_H) ).
thf(f355,conjecture,
? [X0: produc190496183real_c] :
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ X0 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
& ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ X0 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f356,negated_conjecture,
~ ? [X0: produc190496183real_c] :
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ X0 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
& ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ X0 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ),
inference(negated_conjecture,[status(cth)],[f355]) ).
thf(f592,plain,
member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ),
inference(rectify,[],[f3]) ).
thf(f593,plain,
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
= $true ),
inference(fool_elimination,[],[f592]) ).
thf(f798,plain,
~ ? [X0: produc190496183real_c] :
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ X0 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
& ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ X0 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ),
inference(rectify,[],[f356]) ).
thf(f799,plain,
~ ? [X0: produc190496183real_c] :
( ( ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ X0 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) )
= $true )
& ( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ X0 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
= $true ) ),
inference(fool_elimination,[],[f798]) ).
thf(f868,plain,
denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ),
inference(rectify,[],[f4]) ).
thf(f869,plain,
( ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) )
= $true ),
inference(fool_elimination,[],[f868]) ).
thf(f1077,plain,
! [X0: produc190496183real_c] :
( ( ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ X0 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) )
!= $true )
| ( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ X0 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
!= $true ) ),
inference(ennf_transformation,[],[f799]) ).
thf(f1820,plain,
( ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) )
= $true ),
inference(cnf_transformation,[],[f869]) ).
thf(f1870,plain,
! [X0: produc190496183real_c] :
( ( ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ X0 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) )
!= $true )
| ( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ X0 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
!= $true ) ),
inference(cnf_transformation,[],[f1077]) ).
thf(f1876,plain,
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
= $true ),
inference(cnf_transformation,[],[f593]) ).
thf(f2187,definition,
( spl100_26
<=> ( ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl100_26])],[avatar_definition]) ).
thf(f2189,plain,
( ( ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) )
= $true )
| ~ spl100_26 ),
inference(avatar_component_clause,[],[f2187]) ).
thf(f2190,plain,
spl100_26,
inference(avatar_split_clause,[],[f1820,f2187]) ).
thf(f2247,definition,
( spl100_38
<=> ( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl100_38])],[avatar_definition]) ).
thf(f2249,plain,
( ( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
= $true )
| ~ spl100_38 ),
inference(avatar_component_clause,[],[f2247]) ).
thf(f2250,plain,
spl100_38,
inference(avatar_split_clause,[],[f1876,f2247]) ).
thf(f2805,plain,
( ( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
!= $true )
| ( $true != $true )
| ~ spl100_26 ),
inference(superposition,[],[f1870,f2189]) ).
thf(f2806,plain,
( ( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
!= $true )
| ~ spl100_26 ),
inference(trivial_inequality_removal,[],[f2805]) ).
thf(f2807,plain,
( $false
| ~ spl100_26
| ~ spl100_38 ),
inference(forward_subsumption_resolution,[],[f2806,f2249]) ).
thf(f2808,plain,
( ~ spl100_26
| ~ spl100_38 ),
inference(avatar_contradiction_clause,[],[f2807]) ).
cnf(s30,plain,
spl100_26,
inference(sat_conversion,[],[f2190]) ).
cnf(s44,plain,
spl100_38,
inference(sat_conversion,[],[f2250]) ).
cnf(s81,plain,
( ~ spl100_26
| ~ spl100_38 ),
inference(sat_conversion,[],[f2808]) ).
cnf(s84,plain,
~ spl100_26,
inference(rat,[],[s81,s44]) ).
cnf(s85,plain,
$false,
inference(rat,[],[s30,s84]) ).
thf(f2809,plain,
$false,
inference(avatar_sat_refutation,[],[s85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP036^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n004.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 19:40:07 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.21/0.30 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.28/0.43 % (1739419)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.28/0.43 % (1739430)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2459410651:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.28/0.43 % (1739437)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.28/0.43 % (1739437)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
% 0.28/0.43 % (1739433)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2411936143:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.28/0.43 % (1739431)lrs+10_16_si=on:nwc=1.5:random_seed=3792223293:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.28/0.43 % (1739435)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=277962374:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.28/0.43 % (1739434)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=3773055254: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)
% 0.28/0.43 % (1739436)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4139878719:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.28/0.43 % (1739437)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=3516370749:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.28/0.43 % (1739433)Instruction limit reached!
% 0.28/0.43 % (1739433)------------------------------
% 0.28/0.43 % (1739433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.43 % (1739433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.43 % (1739433)CaDiCaL version: 2.1.3
% 0.28/0.43 % (1739433)Termination reason: Instruction limit
% 0.28/0.43 % (1739433)Termination phase: shuffling
% 0.28/0.43 % (1739433)Time elapsed: 0.002 s
% 0.28/0.43 % (1739433)Peak memory usage: 10 MB
% 0.28/0.43 % (1739433)Instructions burned: 3 (million)
% 0.28/0.43 % (1739431)Instruction limit reached!
% 0.28/0.43 % (1739431)------------------------------
% 0.28/0.43 % (1739431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.43 % (1739431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.43 % (1739431)CaDiCaL version: 2.1.3
% 0.28/0.43 % (1739431)Termination reason: Instruction limit
% 0.28/0.43 % (1739431)Termination phase: shuffling
% 0.28/0.43 % (1739431)Time elapsed: 0.008 s
% 0.28/0.43 % (1739431)Peak memory usage: 10 MB
% 0.28/0.43 % (1739431)Instructions burned: 18 (million)
% 0.28/0.43 % (1739435)Instruction limit reached!
% 0.28/0.43 % (1739435)------------------------------
% 0.28/0.43 % (1739435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.43 % (1739435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.43 % (1739435)CaDiCaL version: 2.1.3
% 0.28/0.43 % (1739435)Termination reason: Instruction limit
% 0.28/0.43 % (1739435)Termination phase: Property scanning
% 0.28/0.43 % (1739435)Time elapsed: 0.011 s
% 0.28/0.43 % (1739435)Peak memory usage: 10 MB
% 0.28/0.43 % (1739435)Instructions burned: 26 (million)
% 0.28/0.43 % (1739430)Instruction limit reached!
% 0.28/0.43 % (1739430)------------------------------
% 0.28/0.43 % (1739430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.43 % (1739430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.43 % (1739430)CaDiCaL version: 2.1.3
% 0.28/0.43 % (1739430)Termination reason: Instruction limit
% 0.28/0.43 % (1739430)Termination phase: Property scanning
% 0.28/0.43 % (1739430)Time elapsed: 0.021 s
% 0.28/0.43 % (1739430)Peak memory usage: 12 MB
% 0.28/0.43 % (1739430)Instructions burned: 88 (million)
% 0.28/0.43 % (1739453)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1164760633:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.28/0.43 % (1739453)Instruction limit reached!
% 0.28/0.43 % (1739453)------------------------------
% 0.28/0.43 % (1739453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (1739453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (1739453)CaDiCaL version: 2.1.3
% 0.28/0.46 % (1739453)Termination reason: Instruction limit
% 0.28/0.46 % (1739453)Termination phase: shuffling
% 0.28/0.46 % (1739453)Time elapsed: 0.002 s
% 0.28/0.46 % (1739453)Peak memory usage: 10 MB
% 0.28/0.46 % (1739453)Instructions burned: 3 (million)
% 0.28/0.46 % (1739461)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2269406575:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.28/0.46 % (1739459)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.28/0.46 % (1739461)Instruction limit reached!
% 0.28/0.46 % (1739461)------------------------------
% 0.28/0.46 % (1739461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (1739461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (1739461)CaDiCaL version: 2.1.3
% 0.28/0.46 % (1739461)Termination reason: Instruction limit
% 0.28/0.46 % (1739461)Termination phase: shuffling
% 0.28/0.46 % (1739461)Time elapsed: 0.003 s
% 0.28/0.46 % (1739461)Peak memory usage: 10 MB
% 0.28/0.46 % (1739461)Instructions burned: 13 (million)
% 0.28/0.46 % (1739456)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2370247569:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.28/0.46 % (1739459)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1766820796:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.28/0.46 % (1739456)Instruction limit reached!
% 0.28/0.46 % (1739456)------------------------------
% 0.28/0.46 % (1739456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (1739456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (1739456)CaDiCaL version: 2.1.3
% 0.28/0.46 % (1739456)Termination reason: Instruction limit
% 0.28/0.46 % (1739456)Termination phase: shuffling
% 0.28/0.46 % (1739456)Time elapsed: 0.003 s
% 0.28/0.46 % (1739456)Peak memory usage: 10 MB
% 0.28/0.46 % (1739456)Instructions burned: 6 (million)
% 0.28/0.46 % (1739459)Instruction limit reached!
% 0.28/0.46 % (1739459)------------------------------
% 0.28/0.46 % (1739459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (1739459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (1739459)CaDiCaL version: 2.1.3
% 0.28/0.46 % (1739459)Termination reason: Instruction limit
% 0.28/0.46 % (1739459)Termination phase: shuffling
% 0.28/0.46 % (1739459)Time elapsed: 0.004 s
% 0.28/0.46 % (1739459)Peak memory usage: 10 MB
% 0.28/0.46 % (1739459)Instructions burned: 8 (million)
% 0.28/0.46 % (1739436)Instruction limit reached!
% 0.28/0.46 % (1739436)------------------------------
% 0.28/0.46 % (1739436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (1739436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (1739436)CaDiCaL version: 2.1.3
% 0.28/0.46 % (1739436)Termination reason: Instruction limit
% 0.28/0.46 % (1739436)Termination phase: Function definition elimination
% 0.28/0.46 % (1739436)Time elapsed: 0.034 s
% 0.28/0.46 % (1739436)Peak memory usage: 12 MB
% 0.28/0.46 % (1739436)Instructions burned: 77 (million)
% 0.28/0.46 % (1739465)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=3890941059:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.28/0.46 % (1739464)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
% 0.28/0.46 % (1739464)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.28/0.46 % (1739464)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2209506615:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.28/0.46 % (1739472)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.28/0.46 % (1739470)lrs+10_1_si=on:cs=on:random_seed=3416357225:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.28/0.46 % (1739472)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=1653288192:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.28/0.46 % (1739470)Instruction limit reached!
% 0.28/0.46 % (1739470)------------------------------
% 0.28/0.46 % (1739470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (1739470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (1739470)CaDiCaL version: 2.1.3
% 0.28/0.46 % (1739470)Termination reason: Instruction limit
% 0.28/0.46 % (1739470)Termination phase: shuffling
% 0.28/0.46 % (1739470)Time elapsed: 0.004 s
% 0.28/0.46 % (1739470)Peak memory usage: 10 MB
% 0.28/0.46 % (1739470)Instructions burned: 9 (million)
% 0.28/0.46 % (1739473)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1672489840:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.28/0.46 % (1739464)Instruction limit reached!
% 0.28/0.46 % (1739464)------------------------------
% 0.28/0.46 % (1739464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (1739464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (1739464)CaDiCaL version: 2.1.3
% 0.28/0.46 % (1739464)Termination reason: Instruction limit
% 0.28/0.46 % (1739464)Termination phase: shuffling
% 0.28/0.46 % (1739464)Time elapsed: 0.013 s
% 0.28/0.46 % (1739464)Peak memory usage: 10 MB
% 0.28/0.46 % (1739464)Instructions burned: 28 (million)
% 0.28/0.46 % (1739472)Instruction limit reached!
% 0.28/0.46 % (1739472)------------------------------
% 0.28/0.46 % (1739472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (1739472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (1739472)CaDiCaL version: 2.1.3
% 0.28/0.46 % (1739472)Termination reason: Instruction limit
% 0.28/0.46 % (1739472)Termination phase: shuffling
% 0.28/0.46 % (1739472)Time elapsed: 0.002 s
% 0.28/0.46 % (1739472)Peak memory usage: 10 MB
% 0.28/0.46 % (1739472)Instructions burned: 4 (million)
% 0.28/0.46 % (1739465)Instruction limit reached!
% 0.28/0.46 % (1739465)------------------------------
% 0.28/0.46 % (1739465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (1739465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (1739465)CaDiCaL version: 2.1.3
% 0.28/0.46 % (1739465)Termination reason: Instruction limit
% 0.28/0.46 % (1739465)Termination phase: Property scanning
% 0.28/0.46 % (1739465)Time elapsed: 0.020 s
% 0.28/0.46 % (1739465)Peak memory usage: 11 MB
% 0.28/0.46 % (1739465)Instructions burned: 90 (million)
% 0.28/0.46 % (1739493)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3644648549:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.28/0.46 % (1739437)Instruction limit reached!
% 0.28/0.46 % (1739437)------------------------------
% 0.28/0.46 % (1739437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (1739437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (1739437)CaDiCaL version: 2.1.3
% 0.98/0.46 % (1739437)Termination reason: Instruction limit
% 0.98/0.46 % (1739437)Termination phase: Saturation
% 0.98/0.46 % (1739437)Time elapsed: 0.069 s
% 0.98/0.46 % (1739437)Peak memory usage: 14 MB
% 0.98/0.46 % (1739437)Instructions burned: 157 (million)
% 0.98/0.46 % (1739473)Instruction limit reached!
% 0.98/0.46 % (1739473)------------------------------
% 0.98/0.46 % (1739473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.46 % (1739473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.46 % (1739473)CaDiCaL version: 2.1.3
% 0.98/0.46 % (1739473)Termination reason: Instruction limit
% 0.98/0.46 % (1739473)Termination phase: Preprocessing 1
% 0.98/0.46 % (1739473)Time elapsed: 0.018 s
% 0.98/0.46 % (1739473)Peak memory usage: 11 MB
% 0.98/0.46 % (1739473)Instructions burned: 38 (million)
% 0.98/0.46 % (1739488)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1335869804:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.98/0.46 % (1739489)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3293958452:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.98/0.46 % (1739491)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=466954814:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.98/0.46 % (1739491)Instruction limit reached!
% 0.98/0.46 % (1739491)------------------------------
% 0.98/0.46 % (1739491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.46 % (1739491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.46 % (1739491)CaDiCaL version: 2.1.3
% 0.98/0.46 % (1739491)Termination reason: Instruction limit
% 0.98/0.46 % (1739491)Termination phase: shuffling
% 0.98/0.46 % (1739491)Time elapsed: 0.007 s
% 0.98/0.46 % (1739491)Peak memory usage: 10 MB
% 0.98/0.46 % (1739491)Instructions burned: 15 (million)
% 0.98/0.46 % (1739489)Instruction limit reached!
% 0.98/0.46 % (1739489)------------------------------
% 0.98/0.46 % (1739489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.46 % (1739489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.46 % (1739489)CaDiCaL version: 2.1.3
% 0.98/0.46 % (1739489)Termination reason: Instruction limit
% 0.98/0.46 % (1739489)Termination phase: Property scanning
% 0.98/0.46 % (1739489)Time elapsed: 0.012 s
% 0.98/0.46 % (1739489)Peak memory usage: 10 MB
% 0.98/0.46 % (1739489)Instructions burned: 26 (million)
% 0.98/0.46 % (1739503)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4040966465:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.98/0.46 % (1739506)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3196408933:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.98/0.46 % (1739506)Instruction limit reached!
% 0.98/0.46 % (1739506)------------------------------
% 0.98/0.46 % (1739506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.46 % (1739506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.46 % (1739506)CaDiCaL version: 2.1.3
% 0.98/0.46 % (1739506)Termination reason: Instruction limit
% 0.98/0.46 % (1739506)Termination phase: shuffling
% 0.98/0.46 % (1739506)Time elapsed: 0.002 s
% 0.98/0.46 % (1739506)Peak memory usage: 10 MB
% 0.98/0.46 % (1739506)Instructions burned: 4 (million)
% 0.98/0.46 % (1739434) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1739419-1739434"...
% 0.98/0.46 % (1739503)Instruction limit reached!
% 0.98/0.46 % (1739503)------------------------------
% 0.98/0.46 % (1739503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.46 % (1739503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.46 % (1739503)CaDiCaL version: 2.1.3
% 0.98/0.46 % (1739503)Termination reason: Instruction limit
% 0.98/0.46 % (1739503)Termination phase: shuffling
% 0.98/0.46 % (1739503)Time elapsed: 0.007 s
% 0.98/0.46 % (1739503)Peak memory usage: 10 MB
% 0.98/0.46 % (1739503)Instructions burned: 15 (million)
% 0.98/0.46 % (1739434)...printing done.
% 0.98/0.46 % (1739434)Refutation found. Thanks to Tanya!
% 0.98/0.46 % SZS status Theorem for theBenchmark
% 0.98/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.98/0.46 % (1739434)------------------------------
% 0.98/0.46 % (1739434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.46 % (1739434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.46 % (1739434)CaDiCaL version: 2.1.3
% 0.98/0.46 % (1739434)Termination reason: Refutation
% 0.98/0.46 % (1739434)Time elapsed: 0.097 s
% 0.98/0.46 % (1739434)Peak memory usage: 15 MB
% 0.98/0.46 % (1739434)Instructions burned: 191 (million)
% 0.98/0.46 % (1739419)Success in time 0.157 s
% 0.98/0.46 % Vampire exiting
%------------------------------------------------------------------------------