%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP040^1 : 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 : n020.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 : ContradictoryAxioms 0.90s 0.50s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 16 unt; 0 typ; 1 def)
% Number of atoms : 72 ( 18 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 107 ( 12 ~; 6 |; 0 &; 85 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 34 ( 33 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 177 ( 174 usr; 19 con; 0-4 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_re844416664real_c: $tType ).
thf(type_def_6,type,
set_re1692486081real_c: $tType ).
thf(type_def_7,type,
set_Pr1389752855real_c: $tType ).
thf(type_def_8,type,
produc190496183real_c: $tType ).
thf(type_def_9,type,
set_re1812065969um_c_d: $tType ).
thf(type_def_10,type,
set_re366411824um_c_c: $tType ).
thf(type_def_11,type,
produc214722967um_c_c: $tType ).
thf(type_def_12,type,
set_c_655950471real_c: $tType ).
thf(type_def_13,type,
set_re141277793al_c_c: $tType ).
thf(type_def_14,type,
set_re2066790124real_c: $tType ).
thf(type_def_15,type,
denota231621370t_unit: $tType ).
thf(type_def_16,type,
set_Su1997276704um_c_c: $tType ).
thf(type_def_17,type,
set_Su1008197536um_c_d: $tType ).
thf(type_def_18,type,
set_Su1710027039um_c_c: $tType ).
thf(type_def_19,type,
set_Fi1407883041real_c: $tType ).
thf(type_def_20,type,
set_c_Sum_sum_c_d: $tType ).
thf(type_def_21,type,
set_c_Sum_sum_c_c: $tType ).
thf(type_def_22,type,
set_Sum_sum_c_d_c: $tType ).
thf(type_def_23,type,
set_Sum_sum_c_c_c: $tType ).
thf(type_def_24,type,
finite1398487019real_c: $tType ).
thf(type_def_25,type,
produc957004601l_real: $tType ).
thf(type_def_26,type,
set_Sum_sum_c_d: $tType ).
thf(type_def_27,type,
set_Sum_sum_c_c: $tType ).
thf(type_def_28,type,
formula_a_b_c: $tType ).
thf(type_def_29,type,
sum_sum_c_d: $tType ).
thf(type_def_30,type,
sum_sum_c_c: $tType ).
thf(type_def_31,type,
set_c_c: $tType ).
thf(type_def_32,type,
oDE_a_c: $tType ).
thf(type_def_33,type,
set_real: $tType ).
thf(type_def_34,type,
set_c: $tType ).
thf(type_def_35,type,
real: $tType ).
thf(type_def_36,type,
d: $tType ).
thf(type_def_37,type,
c: $tType ).
thf(type_def_38,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
coinci501627771_a_b_c: formula_a_b_c > $o ).
thf(func_def_1,type,
denota1275485728_a_b_c: denota231621370t_unit > oDE_a_c > finite1398487019real_c > finite1398487019real_c ).
thf(func_def_2,type,
denota540094197_a_b_c: denota231621370t_unit > oDE_a_c > set_c ).
thf(func_def_3,type,
denota256060419gree_c: finite1398487019real_c > finite1398487019real_c > set_c > $o ).
thf(func_def_4,type,
denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).
thf(func_def_5,type,
denota310462944_a_b_c: denota231621370t_unit > oDE_a_c > produc190496183real_c > finite1398487019real_c > produc190496183real_c ).
thf(func_def_6,type,
denota968303861_a_b_c: denota231621370t_unit > formula_a_b_c > set_Pr1389752855real_c ).
thf(func_def_7,type,
denota161327353_a_b_c: denota231621370t_unit > oDE_a_c > produc190496183real_c > finite1398487019real_c > produc190496183real_c ).
thf(func_def_8,type,
denota1896987029_a_b_c: denota231621370t_unit > oDE_a_c > finite1398487019real_c > produc190496183real_c ).
thf(func_def_9,type,
denotational_repd_c: produc190496183real_c > c > real > produc190496183real_c ).
thf(func_def_10,type,
denota1293057250_a_b_c: denota231621370t_unit > oDE_a_c > set_Sum_sum_c_c ).
thf(func_def_11,type,
finite557796307c_real: ( c > real ) > finite1398487019real_c ).
thf(func_def_12,type,
finite772340578real_c: finite1398487019real_c > c > real ).
thf(func_def_13,type,
pi_rea1386151481real_c: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > set_re2066790124real_c ) > set_re1692486081real_c ).
thf(func_def_14,type,
pi_rea1379668980real_c: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > set_Pr1389752855real_c ) > set_re844416664real_c ).
thf(func_def_15,type,
pi_rea1500330408um_c_c: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > set_Sum_sum_c_c ) > set_re366411824um_c_c ).
thf(func_def_16,type,
pi_rea1508591913um_c_d: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > set_Sum_sum_c_d ) > set_re1812065969um_c_d ).
thf(func_def_17,type,
pi_rea1228756413al_c_c: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > set_c ) > set_re141277793al_c_c ).
thf(func_def_18,type,
pi_rea1111636068real_c: set_real > ( real > set_Fi1407883041real_c ) > set_re2066790124real_c ).
thf(func_def_19,type,
pi_Sum253006871um_c_c: set_Sum_sum_c_c > ( sum_sum_c_c > set_Sum_sum_c_c ) > set_Su1710027039um_c_c ).
thf(func_def_20,type,
pi_Sum261268376um_c_d: set_Sum_sum_c_c > ( sum_sum_c_c > set_Sum_sum_c_d ) > set_Su1008197536um_c_d ).
thf(func_def_21,type,
pi_Sum_sum_c_c_c: set_Sum_sum_c_c > ( sum_sum_c_c > set_c ) > set_Sum_sum_c_c_c ).
thf(func_def_22,type,
pi_Sum1145067928um_c_c: set_Sum_sum_c_d > ( sum_sum_c_d > set_Sum_sum_c_c ) > set_Su1997276704um_c_c ).
thf(func_def_23,type,
pi_Sum_sum_c_d_c: set_Sum_sum_c_d > ( sum_sum_c_d > set_c ) > set_Sum_sum_c_d_c ).
thf(func_def_24,type,
pi_c_r41638571real_c: set_c > ( c > set_re2066790124real_c ) > set_c_655950471real_c ).
thf(func_def_25,type,
pi_c_Sum_sum_c_c: set_c > ( c > set_Sum_sum_c_c ) > set_c_Sum_sum_c_c ).
thf(func_def_26,type,
pi_c_Sum_sum_c_d: set_c > ( c > set_Sum_sum_c_d ) > set_c_Sum_sum_c_d ).
thf(func_def_27,type,
pi_c_c: set_c > ( c > set_c ) > set_c_c ).
thf(func_def_28,type,
uminus1756072592al_c_o: ( ( real > finite1398487019real_c ) > $o ) > ( real > finite1398487019real_c ) > $o ).
thf(func_def_29,type,
uminus23580315al_c_o: ( finite1398487019real_c > $o ) > finite1398487019real_c > $o ).
thf(func_def_30,type,
uminus32155087al_c_o: ( produc190496183real_c > $o ) > produc190496183real_c > $o ).
thf(func_def_31,type,
uminus88729697_c_c_o: ( sum_sum_c_c > $o ) > sum_sum_c_c > $o ).
thf(func_def_32,type,
uminus916499104_c_d_o: ( sum_sum_c_d > $o ) > sum_sum_c_d > $o ).
thf(func_def_33,type,
uminus_uminus_c_o: ( c > $o ) > c > $o ).
thf(func_def_34,type,
uminus1737280820real_c: finite1398487019real_c > finite1398487019real_c ).
thf(func_def_35,type,
uminus17964590real_c: produc190496183real_c > produc190496183real_c ).
thf(func_def_36,type,
uminus1225118734um_c_c: produc214722967um_c_c > produc214722967um_c_c ).
thf(func_def_37,type,
uminus_uminus_real: real > real ).
thf(func_def_38,type,
uminus946614837real_c: set_re2066790124real_c > set_re2066790124real_c ).
thf(func_def_39,type,
uminus102402154real_c: set_Fi1407883041real_c > set_Fi1407883041real_c ).
thf(func_def_40,type,
uminus232257166real_c: set_Pr1389752855real_c > set_Pr1389752855real_c ).
thf(func_def_41,type,
uminus1381786404um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(func_def_42,type,
uminus373867045um_c_d: set_Sum_sum_c_d > set_Sum_sum_c_d ).
thf(func_def_43,type,
uminus_uminus_set_c: set_c > set_c ).
thf(func_def_44,type,
zero_z109254132real_c: finite1398487019real_c ).
thf(func_def_45,type,
zero_z1506780526real_c: produc190496183real_c ).
thf(func_def_46,type,
zero_z659284464l_real: produc957004601l_real ).
thf(func_def_47,type,
zero_zero_real: real ).
thf(func_def_48,type,
if_Fin36944805real_c: $o > finite1398487019real_c > finite1398487019real_c > finite1398487019real_c ).
thf(func_def_49,type,
if_real: $o > real > real > real ).
thf(func_def_50,type,
initia1631504802real_c: ( real > finite1398487019real_c ) > ( real > finite1398487019real_c > finite1398487019real_c ) > set_real > set_Fi1407883041real_c > $o ).
thf(func_def_51,type,
ord_le818951225al_c_o: ( ( real > finite1398487019real_c ) > $o ) > ( ( real > finite1398487019real_c ) > $o ) > $o ).
thf(func_def_52,type,
ord_le1132241894al_c_o: ( produc190496183real_c > $o ) > ( produc190496183real_c > $o ) > $o ).
thf(func_def_53,type,
ord_le584953750real_c: ( real > finite1398487019real_c ) > ( real > finite1398487019real_c ) > $o ).
thf(func_def_54,type,
ord_le1315653386_c_c_o: ( sum_sum_c_c > $o ) > ( sum_sum_c_c > $o ) > $o ).
thf(func_def_55,type,
ord_le2143422793_c_d_o: ( sum_sum_c_d > $o ) > ( sum_sum_c_d > $o ) > $o ).
thf(func_def_56,type,
ord_less_eq_c_o: ( c > $o ) > ( c > $o ) > $o ).
thf(func_def_57,type,
ord_le775706699real_c: finite1398487019real_c > finite1398487019real_c > $o ).
thf(func_def_58,type,
ord_le850691415real_c: produc190496183real_c > produc190496183real_c > $o ).
thf(func_def_59,type,
ord_le1342644953l_real: produc957004601l_real > produc957004601l_real > $o ).
thf(func_def_60,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_61,type,
ord_le35002188real_c: set_re2066790124real_c > set_re2066790124real_c > $o ).
thf(func_def_62,type,
ord_le1327118209real_c: set_Fi1407883041real_c > set_Fi1407883041real_c > $o ).
thf(func_def_63,type,
ord_le977353143real_c: set_Pr1389752855real_c > set_Pr1389752855real_c > $o ).
thf(func_def_64,type,
ord_less_eq_set_real: set_real > set_real > $o ).
thf(func_def_65,type,
ord_le1772180283um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > $o ).
thf(func_def_66,type,
ord_le764260924um_c_d: set_Sum_sum_c_d > set_Sum_sum_c_d > $o ).
thf(func_def_67,type,
ord_less_eq_set_c: set_c > set_c > $o ).
thf(func_def_68,type,
produc394644079real_c: finite1398487019real_c > finite1398487019real_c > produc190496183real_c ).
thf(func_def_69,type,
produc705216881l_real: real > real > produc957004601l_real ).
thf(func_def_70,type,
produc1439061071um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > produc214722967um_c_c ).
thf(func_def_71,type,
produc2010422875real_c: produc190496183real_c > finite1398487019real_c ).
thf(func_def_72,type,
produc1422991709l_real: produc957004601l_real > real ).
thf(func_def_73,type,
produc1983230011um_c_c: produc214722967um_c_c > set_Sum_sum_c_c ).
thf(func_def_74,type,
produc314122909real_c: produc190496183real_c > finite1398487019real_c ).
thf(func_def_75,type,
produc1407670175l_real: produc957004601l_real > real ).
thf(func_def_76,type,
produc1132019837um_c_c: produc214722967um_c_c > set_Sum_sum_c_c ).
thf(func_def_77,type,
collec913357835real_c: ( ( real > finite1398487019real_c ) > $o ) > set_re2066790124real_c ).
thf(func_def_78,type,
collec230941376real_c: ( finite1398487019real_c > $o ) > set_Fi1407883041real_c ).
thf(func_def_79,type,
collec1643251106real_c: ( produc190496183real_c > $o ) > set_Pr1389752855real_c ).
thf(func_def_80,type,
collect_Sum_sum_c_c: ( sum_sum_c_c > $o ) > set_Sum_sum_c_c ).
thf(func_def_81,type,
collect_Sum_sum_c_d: ( sum_sum_c_d > $o ) > set_Sum_sum_c_d ).
thf(func_def_82,type,
collect_c: ( c > $o ) > set_c ).
thf(func_def_83,type,
image_266490115al_c_c: ( ( real > finite1398487019real_c ) > c ) > set_re2066790124real_c > set_c ).
thf(func_def_84,type,
image_1260608398al_c_c: ( finite1398487019real_c > c ) > set_Fi1407883041real_c > set_c ).
thf(func_def_85,type,
image_327677598real_c: ( real > finite1398487019real_c ) > set_real > set_Fi1407883041real_c ).
thf(func_def_86,type,
image_real_real: ( real > real ) > set_real > set_real ).
thf(func_def_87,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_88,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_89,type,
image_Sum_sum_c_c_c: ( sum_sum_c_c > c ) > set_Sum_sum_c_c > set_c ).
thf(func_def_90,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_91,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_92,type,
image_Sum_sum_c_d_c: ( sum_sum_c_d > c ) > set_Sum_sum_c_d > set_c ).
thf(func_def_93,type,
image_1226855921real_c: ( c > real > finite1398487019real_c ) > set_c > set_re2066790124real_c ).
thf(func_def_94,type,
image_687300774real_c: ( c > finite1398487019real_c ) > set_c > set_Fi1407883041real_c ).
thf(func_def_95,type,
image_c_Sum_sum_c_c: ( c > sum_sum_c_c ) > set_c > set_Sum_sum_c_c ).
thf(func_def_96,type,
image_c_Sum_sum_c_d: ( c > sum_sum_c_d ) > set_c > set_Sum_sum_c_d ).
thf(func_def_97,type,
image_c_c: ( c > c ) > set_c > set_c ).
thf(func_def_98,type,
set_or1308937537real_c: ( real > finite1398487019real_c ) > ( real > finite1398487019real_c ) > set_re2066790124real_c ).
thf(func_def_99,type,
set_or385782508real_c: produc190496183real_c > produc190496183real_c > set_Pr1389752855real_c ).
thf(func_def_100,type,
set_or656347191t_real: real > real > set_real ).
thf(func_def_101,type,
static_BVO_a_c: oDE_a_c > set_Sum_sum_c_c ).
thf(func_def_102,type,
static_FVF_a_b_c: formula_a_b_c > set_Sum_sum_c_c ).
thf(func_def_103,type,
static_FVO_a_c: oDE_a_c > set_c ).
thf(func_def_104,type,
sum_Inl_c_c: c > sum_sum_c_c ).
thf(func_def_105,type,
sum_Inl_c_d: c > sum_sum_c_d ).
thf(func_def_106,type,
sum_Inr_c_c: c > sum_sum_c_c ).
thf(func_def_107,type,
sum_Inr_d_c: d > sum_sum_c_d ).
thf(func_def_108,type,
equiv_a_b_c: formula_a_b_c > formula_a_b_c > formula_a_b_c ).
thf(func_def_109,type,
fsafe_a_b_c: formula_a_b_c > $o ).
thf(func_def_110,type,
osafe_a_c: oDE_a_c > $o ).
thf(func_def_111,type,
member1851015714real_c: ( ( real > finite1398487019real_c ) > real > finite1398487019real_c ) > set_re1692486081real_c > $o ).
thf(func_def_112,type,
member954762593real_c: ( ( real > finite1398487019real_c ) > produc190496183real_c ) > set_re844416664real_c > $o ).
thf(func_def_113,type,
member354622481um_c_c: ( ( real > finite1398487019real_c ) > sum_sum_c_c ) > set_re366411824um_c_c > $o ).
thf(func_def_114,type,
member1494186770um_c_d: ( ( real > finite1398487019real_c ) > sum_sum_c_d ) > set_re1812065969um_c_d > $o ).
thf(func_def_115,type,
member527957930al_c_c: ( ( real > finite1398487019real_c ) > c ) > set_re141277793al_c_c > $o ).
thf(func_def_116,type,
member1321351885real_c: ( real > finite1398487019real_c ) > set_re2066790124real_c > $o ).
thf(func_def_117,type,
member1326674048um_c_c: ( sum_sum_c_c > sum_sum_c_c ) > set_Su1710027039um_c_c > $o ).
thf(func_def_118,type,
member318754689um_c_d: ( sum_sum_c_c > sum_sum_c_d ) > set_Su1008197536um_c_d > $o ).
thf(func_def_119,type,
member_Sum_sum_c_c_c: ( sum_sum_c_c > c ) > set_Sum_sum_c_c_c > $o ).
thf(func_def_120,type,
member71251457um_c_c: ( sum_sum_c_d > sum_sum_c_c ) > set_Su1997276704um_c_c > $o ).
thf(func_def_121,type,
member_Sum_sum_c_d_c: ( sum_sum_c_d > c ) > set_Sum_sum_c_d_c > $o ).
thf(func_def_122,type,
member469531344real_c: ( c > real > finite1398487019real_c ) > set_c_655950471real_c > $o ).
thf(func_def_123,type,
member_c_Sum_sum_c_c: ( c > sum_sum_c_c ) > set_c_Sum_sum_c_c > $o ).
thf(func_def_124,type,
member_c_Sum_sum_c_d: ( c > sum_sum_c_d ) > set_c_Sum_sum_c_d > $o ).
thf(func_def_125,type,
member_c_c: ( c > c ) > set_c_c > $o ).
thf(func_def_126,type,
member1261661570real_c: finite1398487019real_c > set_Fi1407883041real_c > $o ).
thf(func_def_127,type,
member1895684704real_c: produc190496183real_c > set_Pr1389752855real_c > $o ).
thf(func_def_128,type,
member_real: real > set_real > $o ).
thf(func_def_129,type,
member_Sum_sum_c_c: sum_sum_c_c > set_Sum_sum_c_c > $o ).
thf(func_def_130,type,
member_Sum_sum_c_d: sum_sum_c_d > set_Sum_sum_c_d > $o ).
thf(func_def_131,type,
member_c: c > set_c > $o ).
thf(func_def_132,type,
i: denota231621370t_unit ).
thf(func_def_133,type,
ode: oDE_a_c ).
thf(func_def_134,type,
oDEa: oDE_a_c ).
thf(func_def_135,type,
p: formula_a_b_c ).
thf(func_def_136,type,
phi: formula_a_b_c ).
thf(func_def_137,type,
aa: finite1398487019real_c ).
thf(func_def_138,type,
ab: finite1398487019real_c ).
thf(func_def_139,type,
ba: finite1398487019real_c ).
thf(func_def_140,type,
bb: finite1398487019real_c ).
thf(func_def_141,type,
i2: c ).
thf(func_def_142,type,
sol: real > finite1398487019real_c ).
thf(func_def_143,type,
t: real ).
thf(func_def_144,type,
x: real ).
thf(func_def_148,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_149,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_150,type,
vAND: $o > $o > $o ).
thf(func_def_151,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_152,type,
vIMP: $o > $o > $o ).
thf(func_def_153,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_154,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_155,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_156,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_157,type,
vNOT: $o > $o ).
thf(func_def_158,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_159,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_160,type,
vOR: $o > $o > $o ).
thf(func_def_161,type,
sK0: ( c > sum_sum_c_c ) > ( sum_sum_c_c > $o ) > set_c > sum_sum_c_c ).
thf(func_def_162,type,
sK1: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_163,type,
sK2: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_164,type,
sK3: produc190496183real_c > finite1398487019real_c ).
thf(func_def_165,type,
sK4: produc190496183real_c > finite1398487019real_c ).
thf(func_def_166,type,
sK5: set_c > ( c > sum_sum_c_c ) > ( c > sum_sum_c_c ) > c ).
thf(func_def_167,type,
sK6: set_c > ( sum_sum_c_c > $o ) > ( c > sum_sum_c_c ) > c ).
thf(func_def_168,type,
sK7: sum_sum_c_c > set_c > ( c > sum_sum_c_c ) > c ).
thf(func_def_169,type,
sK8: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_170,type,
sK9: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_171,type,
sK10: set_Sum_sum_c_c > set_c > ( c > sum_sum_c_c ) > set_c ).
thf(func_def_172,type,
sK11: ( c > sum_sum_c_c ) > set_Sum_sum_c_c > set_c > c ).
thf(func_def_173,type,
sK12: produc190496183real_c > finite1398487019real_c ).
thf(func_def_174,type,
sK13: produc190496183real_c > finite1398487019real_c ).
thf(f1,axiom,
! [X0: c,X2: oDE_a_c,X1: denota231621370t_unit] :
( ( member_c @ X0 @ ( denota540094197_a_b_c @ X1 @ X2 ) )
=> ( member_c @ X0 @ ( static_FVO_a_c @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_ode__to__fvo) ).
thf(f359,axiom,
member_c @ i2 @ ( denota540094197_a_b_c @ i @ oDEa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f360,axiom,
~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
thf(f427,plain,
~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ),
inference(rectify,[],[f360]) ).
thf(f428,plain,
( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
!= $true ),
inference(fool_elimination,[],[f427]) ).
thf(f684,plain,
member_c @ i2 @ ( denota540094197_a_b_c @ i @ oDEa ),
inference(rectify,[],[f359]) ).
thf(f685,plain,
( ( member_c @ i2 @ ( denota540094197_a_b_c @ i @ oDEa ) )
= $true ),
inference(fool_elimination,[],[f684]) ).
thf(f844,plain,
! [X0: c,X1: oDE_a_c,X2: denota231621370t_unit] :
( ( member_c @ X0 @ ( denota540094197_a_b_c @ X2 @ X1 ) )
=> ( member_c @ X0 @ ( static_FVO_a_c @ X1 ) ) ),
inference(rectify,[],[f1]) ).
thf(f845,plain,
! [X1: oDE_a_c,X0: c,X2: denota231621370t_unit] :
( ( $true
= ( member_c @ X0 @ ( denota540094197_a_b_c @ X2 @ X1 ) ) )
=> ( ( member_c @ X0 @ ( static_FVO_a_c @ X1 ) )
= $true ) ),
inference(fool_elimination,[],[f844]) ).
thf(f985,plain,
( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
!= $true ),
inference(flattening,[],[f428]) ).
thf(f1019,plain,
! [X2: denota231621370t_unit,X1: oDE_a_c,X0: c] :
( ( $true
!= ( member_c @ X0 @ ( denota540094197_a_b_c @ X2 @ X1 ) ) )
| ( ( member_c @ X0 @ ( static_FVO_a_c @ X1 ) )
= $true ) ),
inference(ennf_transformation,[],[f845]) ).
thf(f1059,plain,
! [X0: denota231621370t_unit,X1: oDE_a_c,X2: c] :
( ( $true
!= ( member_c @ X2 @ ( denota540094197_a_b_c @ X0 @ X1 ) ) )
| ( $true
= ( member_c @ X2 @ ( static_FVO_a_c @ X1 ) ) ) ),
inference(rectify,[],[f1019]) ).
thf(f1124,plain,
! [X2: c,X0: denota231621370t_unit,X1: oDE_a_c] :
( ( $true
!= ( member_c @ X2 @ ( denota540094197_a_b_c @ X0 @ X1 ) ) )
| ( $true
= ( member_c @ X2 @ ( static_FVO_a_c @ X1 ) ) ) ),
inference(cnf_transformation,[],[f1059]) ).
thf(f1138,plain,
( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
!= $true ),
inference(cnf_transformation,[],[f985]) ).
thf(f1159,plain,
( ( member_c @ i2 @ ( denota540094197_a_b_c @ i @ oDEa ) )
= $true ),
inference(cnf_transformation,[],[f685]) ).
thf(f1208,definition,
( spl14_7
<=> ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl14_7])],[avatar_definition]) ).
thf(f1210,plain,
( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
!= $true )
| spl14_7 ),
inference(avatar_component_clause,[],[f1208]) ).
thf(f1245,plain,
~ spl14_7,
inference(avatar_split_clause,[],[f1138,f1208]) ).
thf(f1257,plain,
( ( $true != $true )
| ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
= $true ) ),
inference(superposition,[],[f1124,f1159]) ).
thf(f1258,plain,
( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
= $true ),
inference(trivial_inequality_removal,[],[f1257]) ).
thf(f1259,plain,
( $false
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f1258,f1210]) ).
thf(f1260,plain,
spl14_7,
inference(avatar_contradiction_clause,[],[f1259]) ).
cnf(s14,plain,
~ spl14_7,
inference(sat_conversion,[],[f1245]) ).
cnf(s17,plain,
spl14_7,
inference(sat_conversion,[],[f1260]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s14,s17]) ).
thf(f1261,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP040^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:41:19 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.19/0.30 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
% 0.30/0.46 % (1494233)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.30/0.46 % (1494255)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2157895941:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.30/0.46 % (1494262)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.30/0.46 % (1494262)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
% 0.30/0.46 % (1494256)lrs+10_16_si=on:nwc=1.5:random_seed=2188031631:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.30/0.46 % (1494260)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1376620549:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.30/0.46 % (1494259)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=4078391628: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)
% 0.30/0.46 % (1494258)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1517452629:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.30/0.46 % (1494261)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2088481968:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.30/0.46 % (1494262)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=1513676128:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.30/0.46 % (1494258)Instruction limit reached!
% 0.30/0.46 % (1494258)------------------------------
% 0.30/0.46 % (1494258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.46 % (1494258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.46 % (1494258)CaDiCaL version: 2.1.3
% 0.30/0.46 % (1494258)Termination reason: Instruction limit
% 0.30/0.46 % (1494258)Termination phase: shuffling
% 0.30/0.46 % (1494258)Time elapsed: 0.002 s
% 0.30/0.46 % (1494258)Peak memory usage: 10 MB
% 0.30/0.46 % (1494258)Instructions burned: 3 (million)
% 0.30/0.46 % (1494256)Instruction limit reached!
% 0.30/0.46 % (1494256)------------------------------
% 0.30/0.46 % (1494256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.46 % (1494256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.46 % (1494256)CaDiCaL version: 2.1.3
% 0.30/0.46 % (1494256)Termination reason: Instruction limit
% 0.30/0.46 % (1494256)Termination phase: shuffling
% 0.30/0.46 % (1494256)Time elapsed: 0.008 s
% 0.30/0.46 % (1494256)Peak memory usage: 10 MB
% 0.30/0.46 % (1494256)Instructions burned: 18 (million)
% 0.30/0.46 % (1494260)Instruction limit reached!
% 0.30/0.46 % (1494260)------------------------------
% 0.30/0.46 % (1494260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.46 % (1494260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.46 % (1494260)CaDiCaL version: 2.1.3
% 0.30/0.46 % (1494260)Termination reason: Instruction limit
% 0.30/0.46 % (1494260)Termination phase: shuffling
% 0.30/0.46 % (1494260)Time elapsed: 0.011 s
% 0.30/0.46 % (1494260)Peak memory usage: 10 MB
% 0.30/0.46 % (1494260)Instructions burned: 26 (million)
% 0.30/0.46 % (1494255)Instruction limit reached!
% 0.30/0.46 % (1494255)------------------------------
% 0.30/0.46 % (1494255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.46 % (1494255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.46 % (1494255)CaDiCaL version: 2.1.3
% 0.30/0.46 % (1494255)Termination reason: Instruction limit
% 0.30/0.46 % (1494255)Termination phase: Property scanning
% 0.30/0.46 % (1494255)Time elapsed: 0.021 s
% 0.30/0.46 % (1494255)Peak memory usage: 12 MB
% 0.30/0.46 % (1494255)Instructions burned: 88 (million)
% 0.30/0.46 % (1494284)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2261735282:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.30/0.46 % (1494294)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4176555197:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.90/0.49 % (1494284)Instruction limit reached!
% 0.90/0.49 % (1494284)------------------------------
% 0.90/0.49 % (1494284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.49 % (1494284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.49 % (1494284)CaDiCaL version: 2.1.3
% 0.90/0.49 % (1494284)Termination reason: Instruction limit
% 0.90/0.49 % (1494284)Termination phase: shuffling
% 0.90/0.49 % (1494284)Time elapsed: 0.002 s
% 0.90/0.49 % (1494284)Peak memory usage: 10 MB
% 0.90/0.49 % (1494284)Instructions burned: 3 (million)
% 0.90/0.49 % (1494292)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.90/0.49 % (1494289)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2142405437:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.90/0.49 % (1494294)Instruction limit reached!
% 0.90/0.49 % (1494294)------------------------------
% 0.90/0.49 % (1494294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.49 % (1494294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.49 % (1494294)CaDiCaL version: 2.1.3
% 0.90/0.49 % (1494294)Termination reason: Instruction limit
% 0.90/0.49 % (1494294)Termination phase: shuffling
% 0.90/0.49 % (1494294)Time elapsed: 0.003 s
% 0.90/0.49 % (1494294)Peak memory usage: 10 MB
% 0.90/0.49 % (1494294)Instructions burned: 13 (million)
% 0.90/0.49 % (1494289)Instruction limit reached!
% 0.90/0.49 % (1494289)------------------------------
% 0.90/0.49 % (1494289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.49 % (1494289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.49 % (1494289)CaDiCaL version: 2.1.3
% 0.90/0.49 % (1494289)Termination reason: Instruction limit
% 0.90/0.49 % (1494289)Termination phase: shuffling
% 0.90/0.49 % (1494289)Time elapsed: 0.003 s
% 0.90/0.49 % (1494289)Peak memory usage: 10 MB
% 0.90/0.49 % (1494289)Instructions burned: 6 (million)
% 0.90/0.49 % (1494292)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=579144001:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.90/0.49 % (1494261)Instruction limit reached!
% 0.90/0.49 % (1494261)------------------------------
% 0.90/0.49 % (1494261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.49 % (1494261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.49 % (1494261)CaDiCaL version: 2.1.3
% 0.90/0.49 % (1494261)Termination reason: Instruction limit
% 0.90/0.49 % (1494261)Termination phase: Preprocessing 3
% 0.90/0.49 % (1494261)Time elapsed: 0.034 s
% 0.90/0.49 % (1494261)Peak memory usage: 12 MB
% 0.90/0.49 % (1494261)Instructions burned: 76 (million)
% 0.90/0.49 % (1494292)Instruction limit reached!
% 0.90/0.49 % (1494292)------------------------------
% 0.90/0.49 % (1494292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.49 % (1494292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.49 % (1494292)CaDiCaL version: 2.1.3
% 0.90/0.49 % (1494292)Termination reason: Instruction limit
% 0.90/0.49 % (1494292)Termination phase: shuffling
% 0.90/0.49 % (1494292)Time elapsed: 0.004 s
% 0.90/0.49 % (1494292)Peak memory usage: 10 MB
% 0.90/0.49 % (1494292)Instructions burned: 8 (million)
% 0.90/0.49 % (1494304)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
% 0.90/0.49 % (1494304)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.90/0.49 % (1494304)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4102163734:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.90/0.49 % (1494308)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=1935471707:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.90/0.49 % (1494311)lrs+10_1_si=on:cs=on:random_seed=2591817611:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.90/0.49 % (1494314)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.90/0.50 % (1494314)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=949037116:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.90/0.50 % (1494315)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1646683548:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.90/0.50 % (1494311)Instruction limit reached!
% 0.90/0.50 % (1494311)------------------------------
% 0.90/0.50 % (1494311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.50 % (1494311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.50 % (1494311)CaDiCaL version: 2.1.3
% 0.90/0.50 % (1494311)Termination reason: Instruction limit
% 0.90/0.50 % (1494311)Termination phase: shuffling
% 0.90/0.50 % (1494311)Time elapsed: 0.005 s
% 0.90/0.50 % (1494311)Peak memory usage: 10 MB
% 0.90/0.50 % (1494311)Instructions burned: 10 (million)
% 0.90/0.50 % (1494314)Instruction limit reached!
% 0.90/0.50 % (1494314)------------------------------
% 0.90/0.50 % (1494314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.50 % (1494314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.50 % (1494314)CaDiCaL version: 2.1.3
% 0.90/0.50 % (1494314)Termination reason: Instruction limit
% 0.90/0.50 % (1494314)Termination phase: shuffling
% 0.90/0.50 % (1494314)Time elapsed: 0.002 s
% 0.90/0.50 % (1494314)Peak memory usage: 10 MB
% 0.90/0.50 % (1494314)Instructions burned: 3 (million)
% 0.90/0.50 % (1494304)Instruction limit reached!
% 0.90/0.50 % (1494304)------------------------------
% 0.90/0.50 % (1494304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.50 % (1494304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.50 % (1494304)CaDiCaL version: 2.1.3
% 0.90/0.50 % (1494304)Termination reason: Instruction limit
% 0.90/0.50 % (1494304)Termination phase: shuffling
% 0.90/0.50 % (1494304)Time elapsed: 0.013 s
% 0.90/0.50 % (1494304)Peak memory usage: 11 MB
% 0.90/0.50 % (1494304)Instructions burned: 30 (million)
% 0.90/0.50 % (1494315)Instruction limit reached!
% 0.90/0.50 % (1494315)------------------------------
% 0.90/0.50 % (1494315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.50 % (1494315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.50 % (1494315)CaDiCaL version: 2.1.3
% 0.90/0.50 % (1494315)Termination reason: Instruction limit
% 0.90/0.50 % (1494315)Termination phase: Property scanning
% 0.90/0.50 % (1494315)Time elapsed: 0.010 s
% 0.90/0.50 % (1494315)Peak memory usage: 11 MB
% 0.90/0.50 % (1494315)Instructions burned: 38 (million)
% 0.90/0.50 % (1494262)Instruction limit reached!
% 0.90/0.50 % (1494262)------------------------------
% 0.90/0.50 % (1494262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.50 % (1494262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.50 % (1494262)CaDiCaL version: 2.1.3
% 0.90/0.50 % (1494262)Termination reason: Instruction limit
% 0.90/0.50 % (1494262)Termination phase: Saturation
% 0.90/0.50 % (1494262)Time elapsed: 0.069 s
% 0.90/0.50 % (1494262)Peak memory usage: 14 MB
% 0.90/0.50 % (1494262)Instructions burned: 159 (million)
% 0.90/0.50 % (1494325)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3341242600:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.90/0.50 % (1494328)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3282494050:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.90/0.50 % (1494326)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1707176562:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.90/0.50 % (1494327)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1386848753:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.90/0.50 % (1494308)Instruction limit reached!
% 0.90/0.50 % (1494308)------------------------------
% 0.90/0.50 % (1494308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.50 % (1494308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.50 % (1494308)CaDiCaL version: 2.1.3
% 0.90/0.50 % (1494308)Termination reason: Instruction limit
% 0.90/0.50 % (1494308)Termination phase: Preprocessing 3
% 0.90/0.50 % (1494308)Time elapsed: 0.038 s
% 0.90/0.50 % (1494308)Peak memory usage: 11 MB
% 0.90/0.50 % (1494308)Instructions burned: 87 (million)
% 0.90/0.50 % (1494327)Instruction limit reached!
% 0.90/0.50 % (1494327)------------------------------
% 0.90/0.50 % (1494327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.50 % (1494327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.50 % (1494327)CaDiCaL version: 2.1.3
% 0.90/0.50 % (1494327)Termination reason: Instruction limit
% 0.90/0.50 % (1494327)Termination phase: shuffling
% 0.90/0.50 % (1494327)Time elapsed: 0.007 s
% 0.90/0.50 % (1494327)Peak memory usage: 10 MB
% 0.90/0.50 % (1494327)Instructions burned: 14 (million)
% 0.90/0.50 % (1494326)Instruction limit reached!
% 0.90/0.50 % (1494326)------------------------------
% 0.90/0.50 % (1494326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.50 % (1494326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.50 % (1494326)CaDiCaL version: 2.1.3
% 0.90/0.50 % (1494326)Termination reason: Instruction limit
% 0.90/0.50 % (1494326)Termination phase: shuffling
% 0.90/0.50 % (1494326)Time elapsed: 0.011 s
% 0.90/0.50 % (1494326)Peak memory usage: 11 MB
% 0.90/0.50 % (1494326)Instructions burned: 25 (million)
% 0.90/0.50 % (1494329)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2027150608:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.90/0.50 % (1494334)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=262440590: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)
% 0.90/0.50 % (1494334)Instruction limit reached!
% 0.90/0.50 % (1494334)------------------------------
% 0.90/0.50 % (1494334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.50 % (1494334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.50 % (1494334)CaDiCaL version: 2.1.3
% 0.90/0.50 % (1494334)Termination reason: Instruction limit
% 0.90/0.50 % (1494334)Termination phase: shuffling
% 0.90/0.50 % (1494334)Time elapsed: 0.001 s
% 0.90/0.50 % (1494334)Peak memory usage: 10 MB
% 0.90/0.50 % (1494334)Instructions burned: 3 (million)
% 0.90/0.50 % (1494335)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=375198675:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.90/0.50 % (1494329)Instruction limit reached!
% 0.90/0.50 % (1494329)------------------------------
% 0.90/0.50 % (1494329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.50 % (1494329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.50 % (1494329)CaDiCaL version: 2.1.3
% 0.90/0.50 % (1494329)Termination reason: Instruction limit
% 0.90/0.50 % (1494329)Termination phase: shuffling
% 0.90/0.50 % (1494329)Time elapsed: 0.011 s
% 0.90/0.50 % (1494329)Peak memory usage: 10 MB
% 0.90/0.50 % (1494329)Instructions burned: 14 (million)
% 0.90/0.50 % (1494336)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2531192548:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.90/0.50 % (1494339)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3657419480:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.90/0.50 % (1494336)Instruction limit reached!
% 0.90/0.50 % (1494336)------------------------------
% 0.90/0.50 % (1494336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.50 % (1494336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.50 % (1494336)CaDiCaL version: 2.1.3
% 0.90/0.50 % (1494336)Termination reason: Instruction limit
% 0.90/0.50 % (1494336)Termination phase: shuffling
% 0.90/0.50 % (1494336)Time elapsed: 0.010 s
% 0.90/0.50 % (1494336)Peak memory usage: 10 MB
% 0.90/0.50 % (1494336)Instructions burned: 24 (million)
% 0.90/0.50 % (1494325) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1494233-1494325"...
% 0.90/0.50 % (1494335)Instruction limit reached!
% 0.90/0.50 % (1494335)------------------------------
% 0.90/0.50 % (1494335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.50 % (1494335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.50 % (1494335)CaDiCaL version: 2.1.3
% 0.90/0.50 % (1494335)Termination reason: Instruction limit
% 0.90/0.50 % (1494335)Termination phase: shuffling
% 0.90/0.50 % (1494335)Time elapsed: 0.013 s
% 0.90/0.50 % (1494335)Peak memory usage: 11 MB
% 0.90/0.50 % (1494335)Instructions burned: 28 (million)
% 0.90/0.50 % (1494342)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 0.90/0.50 % (1494342)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.90/0.50 % (1494325)...printing done.
% 0.90/0.50 % (1494339)Instruction limit reached!
% 0.90/0.50 % (1494339)------------------------------
% 0.90/0.50 % (1494339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.50 % (1494339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.50 % (1494339)CaDiCaL version: 2.1.3
% 0.90/0.50 % (1494339)Termination reason: Instruction limit
% 0.90/0.50 % (1494339)Termination phase: Preprocessing 3
% 0.90/0.50 % (1494339)Time elapsed: 0.015 s
% 0.90/0.50 % (1494339)Peak memory usage: 12 MB
% 0.90/0.50 % (1494339)Instructions burned: 64 (million)
% 0.90/0.50 % (1494325)Refutation found. Thanks to Tanya!
% 0.90/0.50 % SZS status ContradictoryAxioms for theBenchmark
% 0.90/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.90/0.50 % (1494325)------------------------------
% 0.90/0.50 % (1494325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.50 % (1494325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.50 % (1494325)CaDiCaL version: 2.1.3
% 0.90/0.50 % (1494325)Termination reason: Refutation
% 0.90/0.50 % (1494325)Time elapsed: 0.045 s
% 0.90/0.50 % (1494325)Peak memory usage: 14 MB
% 0.90/0.50 % (1494325)Instructions burned: 94 (million)
% 0.90/0.50 % (1494233)Success in time 0.188 s
% 0.90/0.50 % Vampire exiting
%------------------------------------------------------------------------------