%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP041^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:04 AM UTC 2026
% Result : Theorem 0.69s 0.40s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 13 unt; 0 typ; 1 def)
% Number of atoms : 35 ( 7 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 232 ( 7 ~; 0 |; 3 &; 221 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 24 ( 23 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 244 ( 241 usr; 20 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr1389752855real_c: $tType ).
thf(type_def_6,type,
produc190496183real_c: $tType ).
thf(type_def_7,type,
produc214722967um_c_c: $tType ).
thf(type_def_8,type,
denota231621370t_unit: $tType ).
thf(type_def_9,type,
produc1398711912c_real: $tType ).
thf(type_def_10,type,
produc754691304um_c_c: $tType ).
thf(type_def_11,type,
set_Su1783761653um_b_c: $tType ).
thf(type_def_12,type,
set_Fi1407883041real_c: $tType ).
thf(type_def_13,type,
set_set_Sum_sum_c_c: $tType ).
thf(type_def_14,type,
finite1398487019real_c: $tType ).
thf(type_def_15,type,
produc957004601l_real: $tType ).
thf(type_def_16,type,
set_Sum_sum_c_d: $tType ).
thf(type_def_17,type,
set_Sum_sum_c_c: $tType ).
thf(type_def_18,type,
formula_a_b_c: $tType ).
thf(type_def_19,type,
hp_a_b_c: $tType ).
thf(type_def_20,type,
sum_sum_c_d: $tType ).
thf(type_def_21,type,
sum_sum_c_c: $tType ).
thf(type_def_22,type,
filter_real: $tType ).
thf(type_def_23,type,
oDE_a_c: $tType ).
thf(type_def_24,type,
set_real: $tType ).
thf(type_def_25,type,
set_c: $tType ).
thf(type_def_26,type,
real: $tType ).
thf(type_def_27,type,
c: $tType ).
thf(type_def_28,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bNF_Ca449034301c_real: set_Pr1389752855real_c > ( finite1398487019real_c > real ) > $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,
coinci501627771_a_b_c: formula_a_b_c > $o ).
thf(func_def_3,type,
coinci354700372_a_b_c: hp_a_b_c > denota231621370t_unit > denota231621370t_unit > $o ).
thf(func_def_4,type,
coinci1852866155_a_b_c: hp_a_b_c > $o ).
thf(func_def_5,type,
coinci772602909_a_b_c: hp_a_b_c > denota231621370t_unit > $o ).
thf(func_def_6,type,
denota69106024_a_b_c: denota231621370t_unit > denota231621370t_unit > set_Su1783761653um_b_c > $o ).
thf(func_def_7,type,
denota1275485728_a_b_c: denota231621370t_unit > oDE_a_c > finite1398487019real_c > finite1398487019real_c ).
thf(func_def_8,type,
denota256060419gree_c: finite1398487019real_c > finite1398487019real_c > set_c > $o ).
thf(func_def_9,type,
denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).
thf(func_def_10,type,
denota968303861_a_b_c: denota231621370t_unit > formula_a_b_c > set_Pr1389752855real_c ).
thf(func_def_11,type,
denota161327353_a_b_c: denota231621370t_unit > oDE_a_c > produc190496183real_c > finite1398487019real_c > produc190496183real_c ).
thf(func_def_12,type,
denota1896987029_a_b_c: denota231621370t_unit > oDE_a_c > finite1398487019real_c > produc190496183real_c ).
thf(func_def_13,type,
denota1293057250_a_b_c: denota231621370t_unit > oDE_a_c > set_Sum_sum_c_c ).
thf(func_def_14,type,
has_ve1904308670real_c: ( real > finite1398487019real_c ) > finite1398487019real_c > filter_real > $o ).
thf(func_def_15,type,
has_ve373335844real_c: ( real > produc190496183real_c ) > produc190496183real_c > filter_real > $o ).
thf(func_def_16,type,
has_ve217091583e_real: ( real > real ) > real > filter_real > $o ).
thf(func_def_17,type,
uminus23580315al_c_o: ( finite1398487019real_c > $o ) > finite1398487019real_c > $o ).
thf(func_def_18,type,
uminus32155087al_c_o: ( produc190496183real_c > $o ) > produc190496183real_c > $o ).
thf(func_def_19,type,
uminus88729697_c_c_o: ( sum_sum_c_c > $o ) > sum_sum_c_c > $o ).
thf(func_def_20,type,
uminus916499104_c_d_o: ( sum_sum_c_d > $o ) > sum_sum_c_d > $o ).
thf(func_def_21,type,
uminus_uminus_c_o: ( c > $o ) > c > $o ).
thf(func_def_22,type,
uminus1737280820real_c: finite1398487019real_c > finite1398487019real_c ).
thf(func_def_23,type,
uminus17964590real_c: produc190496183real_c > produc190496183real_c ).
thf(func_def_24,type,
uminus856758960l_real: produc957004601l_real > produc957004601l_real ).
thf(func_def_25,type,
uminus1629073887um_c_c: produc754691304um_c_c > produc754691304um_c_c ).
thf(func_def_26,type,
uminus125610847c_real: produc1398711912c_real > produc1398711912c_real ).
thf(func_def_27,type,
uminus1225118734um_c_c: produc214722967um_c_c > produc214722967um_c_c ).
thf(func_def_28,type,
uminus_uminus_real: real > real ).
thf(func_def_29,type,
uminus102402154real_c: set_Fi1407883041real_c > set_Fi1407883041real_c ).
thf(func_def_30,type,
uminus232257166real_c: set_Pr1389752855real_c > set_Pr1389752855real_c ).
thf(func_def_31,type,
uminus1381786404um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(func_def_32,type,
uminus373867045um_c_d: set_Sum_sum_c_d > set_Sum_sum_c_d ).
thf(func_def_33,type,
uminus_uminus_set_c: set_c > set_c ).
thf(func_def_34,type,
zero_z109254132real_c: finite1398487019real_c ).
thf(func_def_35,type,
zero_z1506780526real_c: produc190496183real_c ).
thf(func_def_36,type,
zero_z659284464l_real: produc957004601l_real ).
thf(func_def_37,type,
zero_zero_real: real ).
thf(func_def_38,type,
the_Pr1290640446real_c: ( produc190496183real_c > $o ) > produc190496183real_c ).
thf(func_def_39,type,
initia1631504802real_c: ( real > finite1398487019real_c ) > ( real > finite1398487019real_c > finite1398487019real_c ) > set_real > set_Fi1407883041real_c > $o ).
thf(func_def_40,type,
sup_su1349021703um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(func_def_41,type,
ord_le1382916304al_c_o: ( finite1398487019real_c > finite1398487019real_c > $o ) > ( finite1398487019real_c > finite1398487019real_c > $o ) > $o ).
thf(func_def_42,type,
ord_le1132241894al_c_o: ( produc190496183real_c > $o ) > ( produc190496183real_c > $o ) > $o ).
thf(func_def_43,type,
ord_le1315653386_c_c_o: ( sum_sum_c_c > $o ) > ( sum_sum_c_c > $o ) > $o ).
thf(func_def_44,type,
ord_le2143422793_c_d_o: ( sum_sum_c_d > $o ) > ( sum_sum_c_d > $o ) > $o ).
thf(func_def_45,type,
ord_le132810396r_real: filter_real > filter_real > $o ).
thf(func_def_46,type,
ord_le775706699real_c: finite1398487019real_c > finite1398487019real_c > $o ).
thf(func_def_47,type,
ord_le850691415real_c: produc190496183real_c > produc190496183real_c > $o ).
thf(func_def_48,type,
ord_le1342644953l_real: produc957004601l_real > produc957004601l_real > $o ).
thf(func_def_49,type,
ord_le191210632um_c_c: produc754691304um_c_c > produc754691304um_c_c > $o ).
thf(func_def_50,type,
ord_le835231240c_real: produc1398711912c_real > produc1398711912c_real > $o ).
thf(func_def_51,type,
ord_le684454199um_c_c: produc214722967um_c_c > produc214722967um_c_c > $o ).
thf(func_def_52,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_53,type,
ord_le1327118209real_c: set_Fi1407883041real_c > set_Fi1407883041real_c > $o ).
thf(func_def_54,type,
ord_le977353143real_c: set_Pr1389752855real_c > set_Pr1389752855real_c > $o ).
thf(func_def_55,type,
ord_less_eq_set_real: set_real > set_real > $o ).
thf(func_def_56,type,
ord_le657554289um_c_c: set_set_Sum_sum_c_c > set_set_Sum_sum_c_c > $o ).
thf(func_def_57,type,
ord_le929608341um_b_c: set_Su1783761653um_b_c > set_Su1783761653um_b_c > $o ).
thf(func_def_58,type,
ord_le1772180283um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > $o ).
thf(func_def_59,type,
ord_le764260924um_c_d: set_Sum_sum_c_d > set_Sum_sum_c_d > $o ).
thf(func_def_60,type,
ord_less_eq_set_c: set_c > set_c > $o ).
thf(func_def_61,type,
produc394644079real_c: finite1398487019real_c > finite1398487019real_c > produc190496183real_c ).
thf(func_def_62,type,
produc705216881l_real: real > real > produc957004601l_real ).
thf(func_def_63,type,
produc1186709024um_c_c: real > set_Sum_sum_c_c > produc754691304um_c_c ).
thf(func_def_64,type,
produc1528874528c_real: set_Sum_sum_c_c > real > produc1398711912c_real ).
thf(func_def_65,type,
produc1439061071um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > produc214722967um_c_c ).
thf(func_def_66,type,
collec230941376real_c: ( finite1398487019real_c > $o ) > set_Fi1407883041real_c ).
thf(func_def_67,type,
collec1643251106real_c: ( produc190496183real_c > $o ) > set_Pr1389752855real_c ).
thf(func_def_68,type,
collect_real: ( real > $o ) > set_real ).
thf(func_def_69,type,
collec95329456um_c_c: ( set_Sum_sum_c_c > $o ) > set_set_Sum_sum_c_c ).
thf(func_def_70,type,
collect_Sum_sum_c_c: ( sum_sum_c_c > $o ) > set_Sum_sum_c_c ).
thf(func_def_71,type,
collect_Sum_sum_c_d: ( sum_sum_c_d > $o ) > set_Sum_sum_c_d ).
thf(func_def_72,type,
collect_c: ( c > $o ) > set_c ).
thf(func_def_73,type,
image_1467045143um_c_c: ( produc190496183real_c > sum_sum_c_c ) > set_Pr1389752855real_c > set_Sum_sum_c_c ).
thf(func_def_74,type,
image_1475306648um_c_d: ( produc190496183real_c > sum_sum_c_d ) > set_Pr1389752855real_c > set_Sum_sum_c_d ).
thf(func_def_75,type,
image_327677598real_c: ( real > finite1398487019real_c ) > set_real > set_Fi1407883041real_c ).
thf(func_def_76,type,
image_real_real: ( real > real ) > set_real > set_real ).
thf(func_def_77,type,
image_1146069259real_c: ( sum_sum_c_c > produc190496183real_c ) > set_Sum_sum_c_c > set_Pr1389752855real_c ).
thf(func_def_78,type,
image_666880337um_c_c: ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(func_def_79,type,
image_675141842um_c_d: ( sum_sum_c_c > sum_sum_c_d ) > set_Sum_sum_c_c > set_Sum_sum_c_d ).
thf(func_def_80,type,
image_1980705354real_c: ( sum_sum_c_d > produc190496183real_c ) > set_Sum_sum_c_d > set_Pr1389752855real_c ).
thf(func_def_81,type,
image_1558941394um_c_c: ( sum_sum_c_d > sum_sum_c_c ) > set_Sum_sum_c_d > set_Sum_sum_c_c ).
thf(func_def_82,type,
image_1567202899um_c_d: ( sum_sum_c_d > sum_sum_c_d ) > set_Sum_sum_c_d > set_Sum_sum_c_d ).
thf(func_def_83,type,
image_c_Sum_sum_c_c: ( c > sum_sum_c_c ) > set_c > set_Sum_sum_c_c ).
thf(func_def_84,type,
image_c_Sum_sum_c_d: ( c > sum_sum_c_d ) > set_c > set_Sum_sum_c_d ).
thf(func_def_85,type,
set_or385782508real_c: produc190496183real_c > produc190496183real_c > set_Pr1389752855real_c ).
thf(func_def_86,type,
set_or656347191t_real: real > real > set_real ).
thf(func_def_87,type,
set_or935154662um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > set_set_Sum_sum_c_c ).
thf(func_def_88,type,
set_or2003963744real_c: finite1398487019real_c > set_Fi1407883041real_c ).
thf(func_def_89,type,
set_or10334466real_c: produc190496183real_c > set_Pr1389752855real_c ).
thf(func_def_90,type,
set_ord_atLeast_real: real > set_real ).
thf(func_def_91,type,
set_or2028906832um_c_c: set_Sum_sum_c_c > set_set_Sum_sum_c_c ).
thf(func_def_92,type,
set_or1478397028real_c: finite1398487019real_c > set_Fi1407883041real_c ).
thf(func_def_93,type,
set_or248124158real_c: produc190496183real_c > set_Pr1389752855real_c ).
thf(func_def_94,type,
set_ord_atMost_real: real > set_real ).
thf(func_def_95,type,
set_or326480468um_c_c: set_Sum_sum_c_c > set_set_Sum_sum_c_c ).
thf(func_def_96,type,
static_BVO_a_c: oDE_a_c > set_Sum_sum_c_c ).
thf(func_def_97,type,
static_FVF_a_b_c: formula_a_b_c > set_Sum_sum_c_c ).
thf(func_def_98,type,
static_FVO_a_c: oDE_a_c > set_c ).
thf(func_def_99,type,
static_SIGF_a_b_c: formula_a_b_c > set_Su1783761653um_b_c ).
thf(func_def_100,type,
sum_Inl_c_c: c > sum_sum_c_c ).
thf(func_def_101,type,
sum_Inl_c_d: c > sum_sum_c_d ).
thf(func_def_102,type,
sum_Inr_c_c: c > sum_sum_c_c ).
thf(func_def_103,type,
equiv_a_b_c: formula_a_b_c > formula_a_b_c > formula_a_b_c ).
thf(func_def_104,type,
implies_a_b_c: formula_a_b_c > formula_a_b_c > formula_a_b_c ).
thf(func_def_105,type,
oDE_dom_a_c: oDE_a_c > set_c ).
thf(func_def_106,type,
fsafe_a_b_c: formula_a_b_c > $o ).
thf(func_def_107,type,
evolveODE_a_c_b: oDE_a_c > formula_a_b_c > hp_a_b_c ).
thf(func_def_108,type,
hpsafe_a_b_c: hp_a_b_c > $o ).
thf(func_def_109,type,
osafe_a_c: oDE_a_c > $o ).
thf(func_def_110,type,
topolo1830106092n_real: real > set_real > filter_real ).
thf(func_def_111,type,
member1261661570real_c: finite1398487019real_c > set_Fi1407883041real_c > $o ).
thf(func_def_112,type,
member1895684704real_c: produc190496183real_c > set_Pr1389752855real_c > $o ).
thf(func_def_113,type,
member_real: real > set_real > $o ).
thf(func_def_114,type,
member2124950898um_c_c: set_Sum_sum_c_c > set_set_Sum_sum_c_c > $o ).
thf(func_def_115,type,
member_Sum_sum_c_c: sum_sum_c_c > set_Sum_sum_c_c > $o ).
thf(func_def_116,type,
member_Sum_sum_c_d: sum_sum_c_d > set_Sum_sum_c_d > $o ).
thf(func_def_117,type,
member_c: c > set_c > $o ).
thf(func_def_118,type,
i: denota231621370t_unit ).
thf(func_def_119,type,
j: denota231621370t_unit ).
thf(func_def_120,type,
ode: oDE_a_c ).
thf(func_def_121,type,
p: formula_a_b_c ).
thf(func_def_122,type,
v: set_Sum_sum_c_c ).
thf(func_def_123,type,
a: finite1398487019real_c ).
thf(func_def_124,type,
aa: finite1398487019real_c ).
thf(func_def_125,type,
ab: finite1398487019real_c ).
thf(func_def_126,type,
b: finite1398487019real_c ).
thf(func_def_127,type,
ba: finite1398487019real_c ).
thf(func_def_128,type,
bb: finite1398487019real_c ).
thf(func_def_129,type,
s: real ).
thf(func_def_130,type,
sol: real > finite1398487019real_c ).
thf(func_def_131,type,
t: real ).
thf(func_def_135,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_136,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_137,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_138,type,
vIMP: $o > $o > $o ).
thf(func_def_139,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_140,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_141,type,
vNOT: $o > $o ).
thf(func_def_142,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_143,type,
vAND: $o > $o > $o ).
thf(func_def_144,type,
vOR: $o > $o > $o ).
thf(func_def_145,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_146,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_147,type,
sP0: real > real > real > $o ).
thf(func_def_148,type,
sP1: real > real > real > $o ).
thf(func_def_149,type,
sK2: produc190496183real_c > finite1398487019real_c ).
thf(func_def_150,type,
sK3: produc190496183real_c > finite1398487019real_c ).
thf(func_def_151,type,
sK4: ( real > set_Sum_sum_c_c ) > real ).
thf(func_def_152,type,
sK5: ( real > set_Sum_sum_c_c ) > real ).
thf(func_def_153,type,
sK6: ( sum_sum_c_d > $o ) > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_154,type,
sK7: ( produc190496183real_c > $o ) > set_Pr1389752855real_c > produc190496183real_c ).
thf(func_def_155,type,
sK8: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_156,type,
sK9: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_157,type,
sK10: ( real > real ) > real ).
thf(func_def_158,type,
sK11: ( real > real ) > real ).
thf(func_def_159,type,
sK12: ( real > finite1398487019real_c ) > set_real > ( real > finite1398487019real_c ) > real ).
thf(func_def_160,type,
sK13: set_c > ( c > sum_sum_c_d ) > ( c > sum_sum_c_d ) > c ).
thf(func_def_161,type,
sK14: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_162,type,
sK15: ( c > $o ) > ( c > $o ) > c ).
thf(func_def_163,type,
sK16: set_c > sum_sum_c_d > ( c > sum_sum_c_d ) > c ).
thf(func_def_164,type,
sK17: ( real > real ) > real ).
thf(func_def_165,type,
sK18: ( real > real ) > real ).
thf(func_def_166,type,
sK19: set_Sum_sum_c_d > ( sum_sum_c_d > $o ) > ( sum_sum_c_d > $o ) > sum_sum_c_d ).
thf(func_def_167,type,
sK20: set_Sum_sum_c_c > ( c > sum_sum_c_c ) > set_c > set_c ).
thf(func_def_168,type,
sK21: ( sum_sum_c_c > $o ) > ( sum_sum_c_c > $o ) > sum_sum_c_c ).
thf(func_def_169,type,
sK22: ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_170,type,
sK23: ( c > sum_sum_c_c ) > set_c > sum_sum_c_c > c ).
thf(func_def_171,type,
sK24: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_172,type,
sK25: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_173,type,
sK26: ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > ( sum_sum_c_c > $o ) > sum_sum_c_c ).
thf(func_def_174,type,
sK27: ( c > $o ) > ( c > $o ) > c ).
thf(func_def_175,type,
sK28: set_Pr1389752855real_c > set_Pr1389752855real_c > finite1398487019real_c ).
thf(func_def_176,type,
sK29: set_Pr1389752855real_c > set_Pr1389752855real_c > finite1398487019real_c ).
thf(func_def_177,type,
sK30: set_Sum_sum_c_d > ( sum_sum_c_c > sum_sum_c_d ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_178,type,
sK31: ( c > $o ) > set_c > c ).
thf(func_def_179,type,
sK32: ( real > real ) > real ).
thf(func_def_180,type,
sK33: ( real > real ) > real ).
thf(func_def_181,type,
sK34: ( c > sum_sum_c_d ) > set_c > ( sum_sum_c_d > $o ) > c ).
thf(func_def_182,type,
sK35: ( produc190496183real_c > sum_sum_c_c ) > set_Pr1389752855real_c > set_Sum_sum_c_c > produc190496183real_c ).
thf(func_def_183,type,
sK36: ( set_Sum_sum_c_c > real ) > set_Sum_sum_c_c ).
thf(func_def_184,type,
sK37: ( set_Sum_sum_c_c > real ) > set_Sum_sum_c_c ).
thf(func_def_185,type,
sK38: set_Sum_sum_c_d > ( c > sum_sum_c_d ) > set_c > set_c ).
thf(func_def_186,type,
sK39: set_c > set_Sum_sum_c_d > ( c > sum_sum_c_d ) > set_c ).
thf(func_def_187,type,
sK40: ( c > $o ) > ( c > $o ) > c ).
thf(func_def_188,type,
sK41: ( real > set_Sum_sum_c_c ) > real ).
thf(func_def_189,type,
sK42: ( real > set_Sum_sum_c_c ) > real ).
thf(func_def_190,type,
sK43: ( finite1398487019real_c > $o ) > ( finite1398487019real_c > $o ) > finite1398487019real_c ).
thf(func_def_191,type,
sK44: ( real > real ) > real ).
thf(func_def_192,type,
sK45: ( real > real ) > real ).
thf(func_def_193,type,
sK46: ( set_Sum_sum_c_c > real ) > set_Sum_sum_c_c ).
thf(func_def_194,type,
sK47: ( set_Sum_sum_c_c > real ) > set_Sum_sum_c_c ).
thf(func_def_195,type,
sK48: ( finite1398487019real_c > $o ) > ( finite1398487019real_c > $o ) > finite1398487019real_c ).
thf(func_def_196,type,
sK49: ( sum_sum_c_d > produc190496183real_c ) > set_Pr1389752855real_c > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_197,type,
sK50: ( c > $o ) > ( c > $o ) > set_c > c ).
thf(func_def_198,type,
sK51: set_Fi1407883041real_c > ( finite1398487019real_c > $o ) > finite1398487019real_c ).
thf(func_def_199,type,
sK52: ( c > sum_sum_c_c ) > set_c > set_Sum_sum_c_c > c ).
thf(func_def_200,type,
sK53: set_Sum_sum_c_c > ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(func_def_201,type,
sK54: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_202,type,
sK55: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_203,type,
sK56: denota231621370t_unit > finite1398487019real_c > produc190496183real_c > oDE_a_c > produc190496183real_c ).
thf(func_def_204,type,
sK57: ( real > set_Sum_sum_c_c ) > real ).
thf(func_def_205,type,
sK58: ( real > set_Sum_sum_c_c ) > real ).
thf(func_def_206,type,
sK59: ( real > set_Sum_sum_c_c ) > real ).
thf(func_def_207,type,
sK60: ( real > set_Sum_sum_c_c ) > real ).
thf(func_def_208,type,
sK61: ( produc190496183real_c > $o ) > ( produc190496183real_c > $o ) > set_Pr1389752855real_c > produc190496183real_c ).
thf(func_def_209,type,
sK62: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_210,type,
sK63: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_211,type,
sK64: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_212,type,
sK65: ( set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(func_def_213,type,
sK66: set_Sum_sum_c_c > set_Pr1389752855real_c > ( sum_sum_c_c > produc190496183real_c ) > sum_sum_c_c ).
thf(func_def_214,type,
sK67: set_Sum_sum_c_c > ( sum_sum_c_d > sum_sum_c_c ) > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_215,type,
sK68: ( finite1398487019real_c > $o ) > ( finite1398487019real_c > $o ) > set_Fi1407883041real_c > finite1398487019real_c ).
thf(func_def_216,type,
sK69: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_217,type,
sK70: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_218,type,
sK71: ( set_Sum_sum_c_c > real ) > set_Sum_sum_c_c ).
thf(func_def_219,type,
sK72: ( set_Sum_sum_c_c > real ) > set_Sum_sum_c_c ).
thf(func_def_220,type,
sK73: set_Pr1389752855real_c > ( produc190496183real_c > sum_sum_c_d ) > set_Sum_sum_c_d > produc190496183real_c ).
thf(func_def_221,type,
sK74: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).
thf(func_def_222,type,
sK75: produc190496183real_c > finite1398487019real_c ).
thf(func_def_223,type,
sK76: produc190496183real_c > finite1398487019real_c ).
thf(func_def_224,type,
sK77: ( sum_sum_c_c > $o ) > ( sum_sum_c_c > $o ) > sum_sum_c_c ).
thf(func_def_225,type,
sK78: ( real > real > $o ) > real ).
thf(func_def_226,type,
sK79: ( real > real > $o ) > real ).
thf(func_def_227,type,
sK80: ( real > real > $o ) > real ).
thf(func_def_228,type,
sK81: ( real > real > $o ) > real ).
thf(func_def_229,type,
sK82: set_Sum_sum_c_d > set_Sum_sum_c_d > ( sum_sum_c_d > sum_sum_c_d ) > sum_sum_c_d ).
thf(func_def_230,type,
sK83: set_Sum_sum_c_c > ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(func_def_231,type,
sK84: ( finite1398487019real_c > $o ) > ( finite1398487019real_c > $o ) > finite1398487019real_c ).
thf(func_def_232,type,
sK85: ( c > sum_sum_c_d ) > set_c > set_Sum_sum_c_d > c ).
thf(func_def_233,type,
sK86: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).
thf(func_def_234,type,
sK87: ( set_Sum_sum_c_c > real ) > set_Sum_sum_c_c ).
thf(func_def_235,type,
sK88: ( set_Sum_sum_c_c > real ) > set_Sum_sum_c_c ).
thf(func_def_236,type,
sK89: set_c > ( sum_sum_c_c > $o ) > ( c > sum_sum_c_c ) > c ).
thf(func_def_237,type,
sK90: set_c > ( c > sum_sum_c_d ) > set_Sum_sum_c_d > c ).
thf(func_def_238,type,
sK91: ( c > sum_sum_c_c ) > set_c > set_Sum_sum_c_c > set_c ).
thf(func_def_239,type,
sK92: set_Sum_sum_c_c > ( c > sum_sum_c_c ) > set_c > c ).
thf(func_def_240,type,
sK93: ( c > sum_sum_c_c ) > set_c > ( c > sum_sum_c_c ) > c ).
thf(func_def_241,type,
sK94: set_Sum_sum_c_c > set_Sum_sum_c_c > ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(f2,axiom,
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) )
& ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062Vagree_A_Imk__v_AJ_AODE_A_Iaa_M_Aba_J_A_Isol_As_J_J_A_Iaa_M_Aba_J_A_I_N_AsemBV_AJ_AODE_J_A_092_060and_062_AVagree_A_Imk__v_AJ_AODE_A_Iaa_M_Aba_J_A_Isol_As_J_J_A_Imk__xode_AJ_AODE_A_Isol_As_J_J_A_IsemBV_AJ_AODE_J_092_060close_062) ).
thf(f353,conjecture,
denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f354,negated_conjecture,
~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ),
inference(negated_conjecture,[status(cth)],[f353]) ).
thf(f439,plain,
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) )
& ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ) ),
inference(rectify,[],[f2]) ).
thf(f440,plain,
( ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
= $true )
& ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( produc394644079real_c @ aa @ ba ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ j @ ode ) ) )
= $true ) ),
inference(fool_elimination,[],[f439]) ).
thf(f717,plain,
~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ),
inference(rectify,[],[f354]) ).
thf(f718,plain,
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
!= $true ),
inference(fool_elimination,[],[f717]) ).
thf(f984,plain,
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
!= $true ),
inference(flattening,[],[f718]) ).
thf(f1766,plain,
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
!= $true ),
inference(cnf_transformation,[],[f984]) ).
thf(f2050,plain,
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
= $true ),
inference(cnf_transformation,[],[f440]) ).
thf(f2440,definition,
( spl95_23
<=> ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl95_23])],[avatar_definition]) ).
thf(f2443,plain,
spl95_23,
inference(avatar_split_clause,[],[f2050,f2440]) ).
thf(f2607,plain,
~ spl95_23,
inference(avatar_split_clause,[],[f1766,f2440]) ).
cnf(s27,plain,
spl95_23,
inference(sat_conversion,[],[f2443]) ).
cnf(s69,plain,
~ spl95_23,
inference(sat_conversion,[],[f2607]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s27,s69]) ).
thf(f2618,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP041^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n011.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 19:40:31 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.21/0.28 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.40 % (546986)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.69/0.40 % (546997)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.69/0.40 % (546997)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
% 0.69/0.40 % (546997)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=1568425839:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.69/0.40 % (546992)lrs+10_16_si=on:nwc=1.5:random_seed=3162749121:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.69/0.40 % (546991)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=681682911:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.69/0.40 % (546993)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2234874351:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.69/0.40 % (546995)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3746387574:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.69/0.40 % (546994)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=3627353678: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)
% 0.69/0.40 % (546996)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4020155486:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.69/0.40 % (546993)Instruction limit reached!
% 0.69/0.40 % (546993)------------------------------
% 0.69/0.40 % (546993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (546993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (546993)CaDiCaL version: 2.1.3
% 0.69/0.40 % (546993)Termination reason: Instruction limit
% 0.69/0.40 % (546993)Termination phase: shuffling
% 0.69/0.40 % (546993)Time elapsed: 0.003 s
% 0.69/0.40 % (546993)Peak memory usage: 10 MB
% 0.69/0.40 % (546993)Instructions burned: 5 (million)
% 0.69/0.40 % (546992)Instruction limit reached!
% 0.69/0.40 % (546992)------------------------------
% 0.69/0.40 % (546992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (546992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (546992)CaDiCaL version: 2.1.3
% 0.69/0.40 % (546992)Termination reason: Instruction limit
% 0.69/0.40 % (546992)Termination phase: shuffling
% 0.69/0.40 % (546992)Time elapsed: 0.009 s
% 0.69/0.40 % (546992)Peak memory usage: 10 MB
% 0.69/0.40 % (546992)Instructions burned: 18 (million)
% 0.69/0.40 % (546995)Instruction limit reached!
% 0.69/0.40 % (546995)------------------------------
% 0.69/0.40 % (546995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (546995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (546995)CaDiCaL version: 2.1.3
% 0.69/0.40 % (546995)Termination reason: Instruction limit
% 0.69/0.40 % (546995)Termination phase: Property scanning
% 0.69/0.40 % (546995)Time elapsed: 0.012 s
% 0.69/0.40 % (546995)Peak memory usage: 11 MB
% 0.69/0.40 % (546995)Instructions burned: 26 (million)
% 0.69/0.40 % (547005)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1292152328:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.69/0.40 % (547005)Instruction limit reached!
% 0.69/0.40 % (547005)------------------------------
% 0.69/0.40 % (547005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (547005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (547005)CaDiCaL version: 2.1.3
% 0.69/0.40 % (547005)Termination reason: Instruction limit
% 0.69/0.40 % (547005)Termination phase: shuffling
% 0.69/0.40 % (547005)Time elapsed: 0.003 s
% 0.69/0.40 % (547005)Peak memory usage: 10 MB
% 0.69/0.40 % (547005)Instructions burned: 6 (million)
% 0.69/0.40 % (547006)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=824580768:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.69/0.40 % (547007)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.69/0.40 % (546997)Instruction limit reached!
% 0.69/0.40 % (546997)------------------------------
% 0.69/0.40 % (546997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (546997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (546997)CaDiCaL version: 2.1.3
% 0.69/0.40 % (546997)Termination reason: Instruction limit
% 0.69/0.40 % (546997)Termination phase: Saturation
% 0.69/0.40 % (546997)Time elapsed: 0.036 s
% 0.69/0.40 % (546997)Peak memory usage: 14 MB
% 0.69/0.40 % (546997)Instructions burned: 157 (million)
% 0.69/0.40 % (547007)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1538496650:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.69/0.40 % (547006)Instruction limit reached!
% 0.69/0.40 % (547006)------------------------------
% 0.69/0.40 % (547006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (547006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (547006)CaDiCaL version: 2.1.3
% 0.69/0.40 % (547006)Termination reason: Instruction limit
% 0.69/0.40 % (547006)Termination phase: shuffling
% 0.69/0.40 % (547006)Time elapsed: 0.006 s
% 0.69/0.40 % (547006)Peak memory usage: 10 MB
% 0.69/0.40 % (547006)Instructions burned: 13 (million)
% 0.69/0.40 % (547007)Instruction limit reached!
% 0.69/0.40 % (547007)------------------------------
% 0.69/0.40 % (547007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (547007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (547007)CaDiCaL version: 2.1.3
% 0.69/0.40 % (547007)Termination reason: Instruction limit
% 0.69/0.40 % (547007)Termination phase: shuffling
% 0.69/0.40 % (547007)Time elapsed: 0.004 s
% 0.69/0.40 % (547007)Peak memory usage: 10 MB
% 0.69/0.40 % (547007)Instructions burned: 7 (million)
% 0.69/0.40 % (546996)Instruction limit reached!
% 0.69/0.40 % (546996)------------------------------
% 0.69/0.40 % (546996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (546996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (546996)CaDiCaL version: 2.1.3
% 0.69/0.40 % (546996)Termination reason: Instruction limit
% 0.69/0.40 % (546996)Termination phase: Property scanning
% 0.69/0.40 % (546996)Time elapsed: 0.035 s
% 0.69/0.40 % (546996)Peak memory usage: 12 MB
% 0.69/0.40 % (546996)Instructions burned: 75 (million)
% 0.69/0.40 % (547011)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
% 0.69/0.40 % (547011)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.69/0.40 % (547011)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4271038678:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.69/0.40 % (547009)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2859091677:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.69/0.40 % (547011)Instruction limit reached!
% 0.69/0.40 % (547011)------------------------------
% 0.69/0.40 % (547011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (547011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (547011)CaDiCaL version: 2.1.3
% 0.69/0.40 % (547011)Termination reason: Instruction limit
% 0.69/0.40 % (547011)Termination phase: shuffling
% 0.69/0.40 % (547011)Time elapsed: 0.007 s
% 0.69/0.40 % (547011)Peak memory usage: 11 MB
% 0.69/0.40 % (547011)Instructions burned: 29 (million)
% 0.69/0.40 % (547015)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.69/0.40 % (547009)Instruction limit reached!
% 0.69/0.40 % (547009)------------------------------
% 0.69/0.40 % (547009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (547009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (547009)CaDiCaL version: 2.1.3
% 0.69/0.40 % (547009)Termination reason: Instruction limit
% 0.69/0.40 % (547009)Termination phase: shuffling
% 0.69/0.40 % (547009)Time elapsed: 0.006 s
% 0.69/0.40 % (547009)Peak memory usage: 10 MB
% 0.69/0.40 % (547009)Instructions burned: 13 (million)
% 0.69/0.40 % (547013)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=4201315461:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.69/0.40 % (547014)lrs+10_1_si=on:cs=on:random_seed=1492677111:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.69/0.40 % (547015)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=1533228076:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.69/0.40 % (547015)Instruction limit reached!
% 0.69/0.40 % (547015)------------------------------
% 0.69/0.40 % (547015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (547015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (547015)CaDiCaL version: 2.1.3
% 0.69/0.40 % (547015)Termination reason: Instruction limit
% 0.69/0.40 % (547015)Termination phase: shuffling
% 0.69/0.40 % (547015)Time elapsed: 0.002 s
% 0.69/0.40 % (547015)Peak memory usage: 10 MB
% 0.69/0.40 % (547015)Instructions burned: 3 (million)
% 0.69/0.40 % (547018)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2547432770:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.69/0.40 % (547014)Instruction limit reached!
% 0.69/0.40 % (547014)------------------------------
% 0.69/0.40 % (547014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (547014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (547014)CaDiCaL version: 2.1.3
% 0.69/0.40 % (547014)Termination reason: Instruction limit
% 0.69/0.40 % (547014)Termination phase: shuffling
% 0.69/0.40 % (547014)Time elapsed: 0.005 s
% 0.69/0.40 % (547014)Peak memory usage: 10 MB
% 0.69/0.40 % (547014)Instructions burned: 9 (million)
% 0.69/0.40 % (547018)Instruction limit reached!
% 0.69/0.40 % (547018)------------------------------
% 0.69/0.40 % (547018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (547018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (547018)CaDiCaL version: 2.1.3
% 0.69/0.40 % (547018)Termination reason: Instruction limit
% 0.69/0.40 % (547018)Termination phase: Property scanning
% 0.69/0.40 % (547018)Time elapsed: 0.009 s
% 0.69/0.40 % (547018)Peak memory usage: 11 MB
% 0.69/0.40 % (547018)Instructions burned: 40 (million)
% 0.69/0.40 % (547019)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=130574892:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.69/0.40 % (546994) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-546986-546994"...
% 0.69/0.40 % (546991)Instruction limit reached!
% 0.69/0.40 % (546991)------------------------------
% 0.69/0.40 % (546991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.40 % (546991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.40 % (546991)CaDiCaL version: 2.1.3
% 0.69/0.40 % (546991)Termination reason: Instruction limit
% 0.69/0.40 % (546991)Termination phase: Property scanning
% 0.69/0.40 % (546991)Time elapsed: 0.074 s
% 0.69/0.40 % (546991)Peak memory usage: 12 MB
% 0.69/0.40 % (546991)Instructions burned: 88 (million)
% 0.69/0.40 % (547023)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1572423119:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.69/0.40 % (546994)...printing done.
% 0.69/0.40 % (547026)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2833698037:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.69/0.40 % (547025)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=761027737:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.69/0.40 % (546994)Refutation found. Thanks to Tanya!
% 0.69/0.40 % SZS status Theorem for theBenchmark
% 0.69/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.69/0.41 % (546994)------------------------------
% 0.69/0.41 % (546994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.41 % (546994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.41 % (546994)CaDiCaL version: 2.1.3
% 0.69/0.41 % (546994)Termination reason: Refutation
% 0.69/0.41 % (546994)Time elapsed: 0.075 s
% 0.69/0.41 % (546994)Peak memory usage: 14 MB
% 0.69/0.41 % (546994)Instructions burned: 161 (million)
% 0.69/0.41 % (546986)Success in time 0.121 s
% 0.69/0.41 % Vampire exiting
%------------------------------------------------------------------------------