%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP042^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 08:10:28 AM UTC 2026
% Result : Theorem 2.22s 0.53s
% Output : Refutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 12 unt; 0 typ; 1 def)
% Number of atoms : 130 ( 40 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 299 ( 11 ~; 5 |; 24 &; 240 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 29 ( 28 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 184 ( 180 usr; 17 con; 0-5 aty)
% ( 0 !!; 15 ??; 0 @@+; 0 @@-)
% Number of variables : 58 ( 0 sgn 10 !; 9 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1149990247eal_sz: $tType ).
thf(type_def_6,type,
produc133005365real_b: $tType ).
thf(type_def_7,type,
bounde472938360z_real: $tType ).
thf(type_def_8,type,
set_De208295462t_unit: $tType ).
thf(type_def_9,type,
set_De153000604t_unit: $tType ).
thf(type_def_10,type,
denota610675952t_unit: $tType ).
thf(type_def_11,type,
denota723907260t_unit: $tType ).
thf(type_def_12,type,
set_Su111624115um_c_b: $tType ).
thf(type_def_13,type,
set_Fi291318197eal_sz: $tType ).
thf(type_def_14,type,
set_Fi268318752real_b: $tType ).
thf(type_def_15,type,
freche2095075217_sc_sz: $tType ).
thf(type_def_16,type,
freche1734198479_a_c_b: $tType ).
thf(type_def_17,type,
sum_su1965225555um_c_b: $tType ).
thf(type_def_18,type,
finite824932053eal_sz: $tType ).
thf(type_def_19,type,
finite1390225514real_b: $tType ).
thf(type_def_20,type,
frechet_strm_sf_sz: $tType ).
thf(type_def_21,type,
set_Sum_sum_sz_sz: $tType ).
thf(type_def_22,type,
frechet_strm_a_b: $tType ).
thf(type_def_23,type,
set_Sum_sum_b_b: $tType ).
thf(type_def_24,type,
set_trm_sf_sz: $tType ).
thf(type_def_25,type,
set_trm_a_b: $tType ).
thf(type_def_26,type,
sum_sum_b_b: $tType ).
thf(type_def_27,type,
trm_sf_sz: $tType ).
thf(type_def_28,type,
trm_a_b: $tType ).
thf(type_def_29,type,
set_sf: $tType ).
thf(type_def_30,type,
set_a: $tType ).
thf(type_def_31,type,
real: $tType ).
thf(type_def_32,type,
a: $tType ).
thf(type_def_33,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
denota896875430_a_c_b: denota723907260t_unit > denota723907260t_unit > set_Su111624115um_c_b > $o ).
thf(func_def_1,type,
denota1997846517gree_b: produc133005365real_b > produc133005365real_b > set_Sum_sum_b_b > $o ).
thf(func_def_2,type,
denota102713844ree_sz: produc1149990247eal_sz > produc1149990247eal_sz > set_Sum_sum_sz_sz > $o ).
thf(func_def_3,type,
denota102976244t_unit: denota723907260t_unit > a > finite1390225514real_b > real ).
thf(func_def_4,type,
denota1086158987_a_c_b: denota723907260t_unit > $o ).
thf(func_def_5,type,
denota1579475975_sc_sz: denota610675952t_unit > $o ).
thf(func_def_6,type,
denota722380397_a_c_b: denota723907260t_unit > trm_a_b > finite1390225514real_b > real ).
thf(func_def_7,type,
denota1179238309_sc_sz: denota610675952t_unit > trm_sf_sz > finite824932053eal_sz > real ).
thf(func_def_8,type,
freche585307148_sc_sz: freche2095075217_sc_sz > frechet_strm_sf_sz > finite824932053eal_sz > bounde472938360z_real ).
thf(func_def_9,type,
freche58918398_sc_sz: denota610675952t_unit > freche2095075217_sc_sz > $o ).
thf(func_def_10,type,
frechet_cr_strm_a_b: trm_a_b > frechet_strm_a_b > $o ).
thf(func_def_11,type,
freche1244000341_sf_sz: trm_sf_sz > frechet_strm_sf_sz > $o ).
thf(func_def_12,type,
freche153761090_a_c_b: denota723907260t_unit > freche1734198479_a_c_b ).
thf(func_def_13,type,
freche1784963216_sc_sz: denota610675952t_unit > freche2095075217_sc_sz ).
thf(func_def_14,type,
freche288321865_a_c_b: freche1734198479_a_c_b > denota723907260t_unit ).
thf(func_def_15,type,
freche1421597129_sc_sz: freche2095075217_sc_sz > denota610675952t_unit ).
thf(func_def_16,type,
frechet_raw_term_a_b: frechet_strm_a_b > trm_a_b ).
thf(func_def_17,type,
freche782854530_sf_sz: frechet_strm_sf_sz > trm_sf_sz ).
thf(func_def_18,type,
freche665377491rm_a_b: trm_a_b > frechet_strm_a_b ).
thf(func_def_19,type,
freche1046279700_sf_sz: trm_sf_sz > frechet_strm_sf_sz ).
thf(func_def_20,type,
if_Bou1785791806z_real: $o > bounde472938360z_real > bounde472938360z_real > bounde472938360z_real ).
thf(func_def_21,type,
sup_su1211201046_c_b_o: ( sum_su1965225555um_c_b > $o ) > ( sum_su1965225555um_c_b > $o ) > sum_su1965225555um_c_b > $o ).
thf(func_def_22,type,
sup_su2024788734_b_b_o: ( sum_sum_b_b > $o ) > ( sum_sum_b_b > $o ) > sum_sum_b_b > $o ).
thf(func_def_23,type,
sup_sup_a_o: ( a > $o ) > ( a > $o ) > a > $o ).
thf(func_def_24,type,
sup_sup_o: $o > $o > $o ).
thf(func_def_25,type,
sup_su2133361046real_b: finite1390225514real_b > finite1390225514real_b > finite1390225514real_b ).
thf(func_def_26,type,
sup_su1581595657real_b: produc133005365real_b > produc133005365real_b > produc133005365real_b ).
thf(func_def_27,type,
sup_su1321388937eal_sz: set_Fi291318197eal_sz > set_Fi291318197eal_sz > set_Fi291318197eal_sz ).
thf(func_def_28,type,
sup_su296826759um_c_b: set_Su111624115um_c_b > set_Su111624115um_c_b > set_Su111624115um_c_b ).
thf(func_def_29,type,
sup_su2137030215um_b_b: set_Sum_sum_b_b > set_Sum_sum_b_b > set_Sum_sum_b_b ).
thf(func_def_30,type,
sup_su1670953621_sz_sz: set_Sum_sum_sz_sz > set_Sum_sum_sz_sz > set_Sum_sum_sz_sz ).
thf(func_def_31,type,
sup_sup_set_a: set_a > set_a > set_a ).
thf(func_def_32,type,
sup_sup_set_sf: set_sf > set_sf > set_sf ).
thf(func_def_33,type,
ord_le1534094666_c_b_o: ( sum_su1965225555um_c_b > $o ) > ( sum_su1965225555um_c_b > $o ) > $o ).
thf(func_def_34,type,
ord_le1306331338_b_b_o: ( sum_sum_b_b > $o ) > ( sum_sum_b_b > $o ) > $o ).
thf(func_def_35,type,
ord_less_eq_a_o: ( a > $o ) > ( a > $o ) > $o ).
thf(func_def_36,type,
ord_le767445194real_b: finite1390225514real_b > finite1390225514real_b > $o ).
thf(func_def_37,type,
ord_le793200597real_b: produc133005365real_b > produc133005365real_b > $o ).
thf(func_def_38,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_39,type,
ord_le41263445eal_sz: set_Fi291318197eal_sz > set_Fi291318197eal_sz > $o ).
thf(func_def_40,type,
ord_le1404954451um_c_b: set_Su111624115um_c_b > set_Su111624115um_c_b > $o ).
thf(func_def_41,type,
ord_le412705147um_b_b: set_Sum_sum_b_b > set_Sum_sum_b_b > $o ).
thf(func_def_42,type,
ord_le230080206rm_a_b: set_trm_a_b > set_trm_a_b > $o ).
thf(func_def_43,type,
ord_le1697056455_sf_sz: set_trm_sf_sz > set_trm_sf_sz > $o ).
thf(func_def_44,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_45,type,
top_to646513176l_sz_o: finite824932053eal_sz > $o ).
thf(func_def_46,type,
top_to1849113498_c_b_o: sum_su1965225555um_c_b > $o ).
thf(func_def_47,type,
top_top_a_o: a > $o ).
thf(func_def_48,type,
top_to502572752real_b: set_Fi268318752real_b ).
thf(func_def_49,type,
top_to1873962757eal_sz: set_Fi291318197eal_sz ).
thf(func_def_50,type,
top_to999478531um_c_b: set_Su111624115um_c_b ).
thf(func_def_51,type,
top_to301096907um_b_b: set_Sum_sum_b_b ).
thf(func_def_52,type,
top_top_set_a: set_a ).
thf(func_def_53,type,
produc936751193real_b: produc133005365real_b > finite1390225514real_b ).
thf(func_def_54,type,
produc1111759555eal_sz: produc1149990247eal_sz > finite824932053eal_sz ).
thf(func_def_55,type,
domain413207655_sc_sz: ( denota610675952t_unit > freche2095075217_sc_sz > $o ) > denota610675952t_unit > $o ).
thf(func_def_56,type,
domain134596861rm_a_b: ( trm_a_b > frechet_strm_a_b > $o ) > trm_a_b > $o ).
thf(func_def_57,type,
domain512309999_sf_sz: ( trm_sf_sz > frechet_strm_sf_sz > $o ) > trm_sf_sz > $o ).
thf(func_def_58,type,
collec944067751t_unit: ( denota723907260t_unit > $o ) > set_De153000604t_unit ).
thf(func_def_59,type,
collec1767975749t_unit: ( denota610675952t_unit > $o ) > set_De208295462t_unit ).
thf(func_def_60,type,
collec1002602816eal_sz: ( finite824932053eal_sz > $o ) > set_Fi291318197eal_sz ).
thf(func_def_61,type,
collec1166375742um_c_b: ( sum_su1965225555um_c_b > $o ) > set_Su111624115um_c_b ).
thf(func_def_62,type,
collect_Sum_sum_b_b: ( sum_sum_b_b > $o ) > set_Sum_sum_b_b ).
thf(func_def_63,type,
collect_trm_a_b: ( trm_a_b > $o ) > set_trm_a_b ).
thf(func_def_64,type,
collect_trm_sf_sz: ( trm_sf_sz > $o ) > set_trm_sf_sz ).
thf(func_def_65,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_66,type,
static_FVT_a_b: trm_a_b > set_Sum_sum_b_b ).
thf(func_def_67,type,
static_FVT_sf_sz: trm_sf_sz > set_Sum_sum_sz_sz ).
thf(func_def_68,type,
static_SIGT_a_b: trm_a_b > set_a ).
thf(func_def_69,type,
static_SIGT_sf_sz: trm_sf_sz > set_sf ).
thf(func_def_70,type,
sum_In811702836um_c_b: a > sum_su1965225555um_c_b ).
thf(func_def_71,type,
dfree_a_b: trm_a_b > $o ).
thf(func_def_72,type,
dfree_sf_sz: trm_sf_sz > $o ).
thf(func_def_73,type,
times_a_b: trm_a_b > trm_a_b > trm_a_b ).
thf(func_def_74,type,
times_sf_sz: trm_sf_sz > trm_sf_sz > trm_sf_sz ).
thf(func_def_75,type,
topolo238266006b_real: set_Fi268318752real_b > ( finite1390225514real_b > real ) > $o ).
thf(func_def_76,type,
topolo885751137z_real: set_Fi291318197eal_sz > ( finite824932053eal_sz > bounde472938360z_real ) > $o ).
thf(func_def_77,type,
topolo1348430467z_real: set_Fi291318197eal_sz > ( finite824932053eal_sz > real ) > $o ).
thf(func_def_78,type,
type_d1092523951t_unit: ( freche2095075217_sc_sz > denota610675952t_unit ) > ( denota610675952t_unit > freche2095075217_sc_sz ) > set_De208295462t_unit > $o ).
thf(func_def_79,type,
type_d2045870413rm_a_b: ( frechet_strm_a_b > trm_a_b ) > ( trm_a_b > frechet_strm_a_b ) > set_trm_a_b > $o ).
thf(func_def_80,type,
type_d46389773_sf_sz: ( frechet_strm_sf_sz > trm_sf_sz ) > ( trm_sf_sz > frechet_strm_sf_sz ) > set_trm_sf_sz > $o ).
thf(func_def_81,type,
member122424677t_unit: denota723907260t_unit > set_De153000604t_unit > $o ).
thf(func_def_82,type,
member754147591t_unit: denota610675952t_unit > set_De208295462t_unit > $o ).
thf(func_def_83,type,
member1693951742eal_sz: finite824932053eal_sz > set_Fi291318197eal_sz > $o ).
thf(func_def_84,type,
member973578748um_c_b: sum_su1965225555um_c_b > set_Su111624115um_c_b > $o ).
thf(func_def_85,type,
member_Sum_sum_b_b: sum_sum_b_b > set_Sum_sum_b_b > $o ).
thf(func_def_86,type,
member_trm_a_b: trm_a_b > set_trm_a_b > $o ).
thf(func_def_87,type,
member_trm_sf_sz: trm_sf_sz > set_trm_sf_sz > $o ).
thf(func_def_88,type,
member_a: a > set_a > $o ).
thf(func_def_89,type,
i: denota723907260t_unit ).
thf(func_def_90,type,
j: denota723907260t_unit ).
thf(func_def_91,type,
nu: produc133005365real_b ).
thf(func_def_92,type,
nu2: produc133005365real_b ).
thf(func_def_93,type,
theta_1: trm_a_b ).
thf(func_def_94,type,
theta_2: trm_a_b ).
thf(func_def_96,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_97,type,
vAND: $o > $o > $o ).
thf(func_def_98,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_99,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_100,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_101,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_104,type,
vOR: $o > $o > $o ).
thf(func_def_105,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_106,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_107,type,
vIMP: $o > $o > $o ).
thf(func_def_108,type,
sK0: ( frechet_strm_a_b > $o ) > trm_a_b ).
thf(func_def_109,type,
sK1: ( frechet_strm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_110,type,
sK2: frechet_strm_a_b > trm_a_b ).
thf(func_def_111,type,
sK3: frechet_strm_sf_sz > trm_sf_sz ).
thf(func_def_112,type,
sK4: ( trm_a_b > $o ) > frechet_strm_a_b ).
thf(func_def_113,type,
sK5: ( trm_sf_sz > $o ) > frechet_strm_sf_sz ).
thf(func_def_114,type,
sK6: trm_a_b > frechet_strm_a_b ).
thf(func_def_115,type,
sK7: trm_sf_sz > frechet_strm_sf_sz ).
thf(func_def_116,type,
sK8: ( finite824932053eal_sz > $o ) > ( finite824932053eal_sz > $o ) > finite824932053eal_sz ).
thf(func_def_117,type,
sK9: ( sum_sum_b_b > $o ) > ( sum_sum_b_b > $o ) > sum_sum_b_b ).
thf(func_def_118,type,
sK10: ( trm_sf_sz > $o ) > ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_119,type,
sK11: ( trm_a_b > $o ) > ( trm_a_b > $o ) > trm_a_b ).
thf(func_def_120,type,
sK12: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_121,type,
sK13: ( sum_su1965225555um_c_b > $o ) > ( sum_su1965225555um_c_b > $o ) > sum_su1965225555um_c_b ).
thf(func_def_122,type,
sK14: ( denota723907260t_unit > $o ) > freche1734198479_a_c_b ).
thf(func_def_123,type,
sK15: ( denota610675952t_unit > $o ) > freche2095075217_sc_sz ).
thf(func_def_124,type,
sK16: denota723907260t_unit > freche1734198479_a_c_b ).
thf(func_def_125,type,
sK17: denota610675952t_unit > freche2095075217_sc_sz ).
thf(func_def_126,type,
sK18: ( freche1734198479_a_c_b > $o ) > denota723907260t_unit ).
thf(func_def_127,type,
sK19: ( freche2095075217_sc_sz > $o ) > denota610675952t_unit ).
thf(func_def_128,type,
sK20: freche1734198479_a_c_b > denota723907260t_unit ).
thf(func_def_129,type,
sK21: freche2095075217_sc_sz > denota610675952t_unit ).
thf(func_def_130,type,
sK22: set_trm_sf_sz > set_trm_sf_sz > trm_sf_sz ).
thf(func_def_131,type,
sK23: set_trm_a_b > set_trm_a_b > trm_a_b ).
thf(func_def_132,type,
sK24: set_Fi291318197eal_sz > set_Fi291318197eal_sz > finite824932053eal_sz ).
thf(func_def_133,type,
sK25: set_Sum_sum_b_b > set_Sum_sum_b_b > sum_sum_b_b ).
thf(func_def_134,type,
sK26: set_a > set_a > a ).
thf(func_def_135,type,
sK27: set_Su111624115um_c_b > set_Su111624115um_c_b > sum_su1965225555um_c_b ).
thf(func_def_136,type,
sK28: ( sum_su1965225555um_c_b > $o ) > ( sum_su1965225555um_c_b > $o ) > sum_su1965225555um_c_b ).
thf(func_def_137,type,
sK29: ( set_Sum_sum_b_b > set_Sum_sum_b_b > set_Sum_sum_b_b ) > set_Sum_sum_b_b ).
thf(func_def_138,type,
sK30: ( set_Sum_sum_b_b > set_Sum_sum_b_b > set_Sum_sum_b_b ) > set_Sum_sum_b_b ).
thf(func_def_139,type,
sK31: ( set_Sum_sum_b_b > set_Sum_sum_b_b > set_Sum_sum_b_b ) > set_Sum_sum_b_b ).
thf(func_def_140,type,
sK32: ( set_Sum_sum_b_b > set_Sum_sum_b_b > set_Sum_sum_b_b ) > set_Sum_sum_b_b ).
thf(func_def_141,type,
sK33: ( set_Sum_sum_b_b > set_Sum_sum_b_b > set_Sum_sum_b_b ) > set_Sum_sum_b_b ).
thf(func_def_142,type,
sK34: ( set_Sum_sum_b_b > set_Sum_sum_b_b > set_Sum_sum_b_b ) > set_Sum_sum_b_b ).
thf(func_def_143,type,
sK35: ( set_Sum_sum_b_b > set_Sum_sum_b_b > set_Sum_sum_b_b ) > set_Sum_sum_b_b ).
thf(func_def_144,type,
sK36: ( set_Su111624115um_c_b > set_Su111624115um_c_b > set_Su111624115um_c_b ) > set_Su111624115um_c_b ).
thf(func_def_145,type,
sK37: ( set_Su111624115um_c_b > set_Su111624115um_c_b > set_Su111624115um_c_b ) > set_Su111624115um_c_b ).
thf(func_def_146,type,
sK38: ( set_Su111624115um_c_b > set_Su111624115um_c_b > set_Su111624115um_c_b ) > set_Su111624115um_c_b ).
thf(func_def_147,type,
sK39: ( set_Su111624115um_c_b > set_Su111624115um_c_b > set_Su111624115um_c_b ) > set_Su111624115um_c_b ).
thf(func_def_148,type,
sK40: ( set_Su111624115um_c_b > set_Su111624115um_c_b > set_Su111624115um_c_b ) > set_Su111624115um_c_b ).
thf(func_def_149,type,
sK41: ( set_Su111624115um_c_b > set_Su111624115um_c_b > set_Su111624115um_c_b ) > set_Su111624115um_c_b ).
thf(func_def_150,type,
sK42: ( set_Su111624115um_c_b > set_Su111624115um_c_b > set_Su111624115um_c_b ) > set_Su111624115um_c_b ).
thf(func_def_151,type,
sK43: set_Sum_sum_b_b > set_Sum_sum_b_b > set_Sum_sum_b_b > set_Sum_sum_b_b ).
thf(func_def_152,type,
sK44: set_Sum_sum_b_b > set_Sum_sum_b_b > set_Sum_sum_b_b > set_Sum_sum_b_b ).
thf(func_def_153,type,
sK45: set_Su111624115um_c_b > set_Su111624115um_c_b > set_Su111624115um_c_b > set_Su111624115um_c_b ).
thf(func_def_154,type,
sK46: set_Su111624115um_c_b > set_Su111624115um_c_b > set_Su111624115um_c_b > set_Su111624115um_c_b ).
thf(func_def_155,type,
sK47: ( set_Su111624115um_c_b > set_Su111624115um_c_b ) > set_Su111624115um_c_b ).
thf(func_def_156,type,
sK48: ( set_Su111624115um_c_b > set_Su111624115um_c_b ) > set_Su111624115um_c_b ).
thf(func_def_157,type,
sK49: ( set_Su111624115um_c_b > set_Su111624115um_c_b ) > set_Su111624115um_c_b ).
thf(func_def_158,type,
sK50: ( set_Su111624115um_c_b > set_Su111624115um_c_b ) > set_Su111624115um_c_b ).
thf(func_def_159,type,
sK51: ( set_Su111624115um_c_b > set_Su111624115um_c_b ) > set_Su111624115um_c_b ).
thf(func_def_160,type,
sK52: ( set_Su111624115um_c_b > set_Su111624115um_c_b ) > set_Su111624115um_c_b ).
thf(func_def_161,type,
sK53: ( set_Su111624115um_c_b > set_Su111624115um_c_b ) > set_Su111624115um_c_b ).
thf(func_def_162,type,
sK54: ( set_Su111624115um_c_b > set_Su111624115um_c_b ) > set_Su111624115um_c_b ).
thf(func_def_163,type,
sK55: a ).
thf(func_def_164,type,
sK56: finite824932053eal_sz ).
thf(func_def_165,type,
sK57: set_a > a ).
thf(func_def_166,type,
sK58: set_Fi291318197eal_sz > finite824932053eal_sz ).
thf(func_def_167,type,
sK59: ( finite824932053eal_sz > bounde472938360z_real ) > ( finite824932053eal_sz > bounde472938360z_real ) > real > ( finite824932053eal_sz > real ) > set_Fi291318197eal_sz > finite824932053eal_sz ).
thf(func_def_168,type,
sK60: ( finite824932053eal_sz > bounde472938360z_real ) > ( finite824932053eal_sz > bounde472938360z_real ) > set_Fi291318197eal_sz > finite824932053eal_sz ).
thf(func_def_169,type,
vNOT: $o > $o ).
thf(func_def_170,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_171,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_172,type,
sK61: set_Sum_sum_b_b > ( sum_sum_b_b > $o ) > sum_sum_b_b ).
thf(func_def_173,type,
sK62: set_Sum_sum_b_b > ( sum_sum_b_b > $o ) > sum_sum_b_b ).
thf(func_def_174,type,
sK63: set_Sum_sum_b_b > set_Sum_sum_b_b > ( sum_sum_b_b > $o ) > sum_sum_b_b ).
thf(func_def_175,type,
sK64: set_Sum_sum_b_b > set_Sum_sum_b_b > ( sum_sum_b_b > $o ) > sum_sum_b_b ).
thf(func_def_176,type,
sK65: set_Sum_sum_b_b > set_Sum_sum_b_b > ( sum_sum_b_b > $o ) > sum_sum_b_b ).
thf(func_def_177,type,
sK66: set_Sum_sum_b_b > set_Sum_sum_b_b > ( sum_sum_b_b > $o ) > sum_sum_b_b ).
thf(func_def_178,type,
sK67: set_Sum_sum_b_b > ( sum_sum_b_b > $o ) > sum_sum_b_b ).
thf(func_def_179,type,
sK68: set_Sum_sum_b_b > ( sum_sum_b_b > $o ) > sum_sum_b_b ).
thf(func_def_180,type,
sK69: ( sum_su1965225555um_c_b > $o ) > ( sum_su1965225555um_c_b > $o ) > sum_su1965225555um_c_b ).
thf(f1,axiom,
! [X0: denota723907260t_unit,X1: denota723907260t_unit] :
( ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [X2: sum_su1965225555um_c_b] :
? [X3: a] :
( ( member_a @ X3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) )
& ( X2
= ( sum_In811702836um_c_b @ X3 ) ) ) ) )
=> ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [X2: sum_su1965225555um_c_b] :
? [X3: a] :
( ( member_a @ X3 @ ( static_SIGT_a_b @ theta_1 ) )
& ( X2
= ( sum_In811702836um_c_b @ X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060And_062J_AI_O_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_ITimes_A_092_060theta_062_092_060_094sub_0621_A_092_060theta_062_092_060_094sub_0622_J_125_A_092_060Longrightarrow_062_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_092_060theta_062_092_060_094sub_0621_125_092_060close_062) ).
thf(f4,axiom,
( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [X0: sum_su1965225555um_c_b] :
? [X1: a] :
( ( member_a @ X1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) )
& ( X0
= ( sum_In811702836um_c_b @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_dfree__Times_Oprems_I2_J) ).
thf(f359,conjecture,
( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [X0: sum_su1965225555um_c_b] :
? [X1: a] :
( ( member_a @ X1 @ ( static_SIGT_a_b @ theta_1 ) )
& ( X0
= ( sum_In811702836um_c_b @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f360,negated_conjecture,
~ ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [X0: sum_su1965225555um_c_b] :
? [X1: a] :
( ( member_a @ X1 @ ( static_SIGT_a_b @ theta_1 ) )
& ( X0
= ( sum_In811702836um_c_b @ X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f359]) ).
thf(f361,plain,
! [X0: denota723907260t_unit,X1: denota723907260t_unit] :
( ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [X2: sum_su1965225555um_c_b] :
? [X3: a] :
( ( member_a @ X3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) )
& ( X2
= ( sum_In811702836um_c_b @ X3 ) ) ) ) )
=> ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [X4: sum_su1965225555um_c_b] :
? [X5: a] :
( ( member_a @ X5 @ ( static_SIGT_a_b @ theta_1 ) )
& ( ( sum_In811702836um_c_b @ X5 )
= X4 ) ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f362,plain,
! [X0: denota723907260t_unit,X1: denota723907260t_unit] :
( ( ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) ) )
= $true )
=> ( $true
= ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f361]) ).
thf(f367,plain,
( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [X0: sum_su1965225555um_c_b] :
? [X1: a] :
( ( member_a @ X1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) )
& ( X0
= ( sum_In811702836um_c_b @ X1 ) ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f368,plain,
( $true
= ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f367]) ).
thf(f891,plain,
~ ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [X0: sum_su1965225555um_c_b] :
? [X1: a] :
( ( member_a @ X1 @ ( static_SIGT_a_b @ theta_1 ) )
& ( X0
= ( sum_In811702836um_c_b @ X1 ) ) ) ) ),
inference(rectify,[],[f360]) ).
thf(f892,plain,
( $true
!= ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f891]) ).
thf(f907,plain,
( $true
!= ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ),
inference(flattening,[],[f892]) ).
thf(f908,plain,
! [X0: denota723907260t_unit,X1: denota723907260t_unit] :
( ( $true
= ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) )
| ( ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) ) )
!= $true ) ),
inference(ennf_transformation,[],[f362]) ).
thf(f1166,plain,
! [X0: denota723907260t_unit,X1: denota723907260t_unit] :
( ( ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) ) )
!= $true )
| ( $true
= ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f908]) ).
thf(f1169,plain,
( $true
= ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f368]) ).
thf(f1561,plain,
( $true
!= ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f907]) ).
thf(f2541,definition,
( spl70_5
<=> ( $true
= ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl70_5])],[avatar_definition]) ).
thf(f2543,plain,
( ( $true
!= ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) )
| spl70_5 ),
inference(avatar_component_clause,[],[f2541]) ).
thf(f2556,plain,
~ spl70_5,
inference(avatar_split_clause,[],[f1561,f2541]) ).
thf(f6503,plain,
( ( $true != $true )
| ( $true
= ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f1166,f1169]) ).
thf(f6519,plain,
( $true
= ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f6503]) ).
thf(f6522,plain,
( $false
| spl70_5 ),
inference(forward_subsumption_resolution,[],[f6519,f2543]) ).
thf(f6523,plain,
spl70_5,
inference(avatar_contradiction_clause,[],[f6522]) ).
cnf(s3,plain,
~ spl70_5,
inference(sat_conversion,[],[f2556]) ).
cnf(s86,plain,
spl70_5,
inference(sat_conversion,[],[f6523]) ).
cnf(s88,plain,
$false,
inference(rat,[],[s3,s86]) ).
thf(f6524,plain,
$false,
inference(avatar_sat_refutation,[],[s88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP042^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 19:40:18 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12 Running first-order model finding
% 0.09/0.12 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.22/0.53 % (584418)Will run a generic schedule for satisfiability detection.
% 2.22/0.53 % (584424)% WARNING: option uhcvi not known.
% 2.22/0.53 % (584424)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1439675453:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.22/0.53 % (584427)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=641813564:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.22/0.53 % (584428)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=684042296:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.22/0.53 % (584426)dis+10_1_sil=32000:sp=arity:random_seed=1475935765:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.22/0.53 % (584425)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3313598549:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.22/0.53 % (584423)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1173063704_2999 on theBenchmark for (2999ds/0Mi)
% 2.22/0.53 % (584429)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=370875236:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.22/0.53 % (584427)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.22/0.53 % (584424)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.22/0.53 % (584426)Instruction limit reached!
% 2.22/0.53 % (584426)------------------------------
% 2.22/0.53 % (584426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.53 % (584426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.53 % (584426)CaDiCaL version: 2.1.3
% 2.22/0.53 % (584426)Termination reason: Instruction limit
% 2.22/0.53 % (584426)Termination phase: Property scanning
% 2.22/0.53 % (584426)Time elapsed: 0.023 s
% 2.22/0.53 % (584426)Peak memory usage: 11 MB
% 2.22/0.53 % (584426)Instructions burned: 104 (million)
% 2.22/0.53 % Exception at run slice level
% 2.22/0.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.22/0.53 % (584427)Instruction limit reached!
% 2.22/0.53 % (584427)------------------------------
% 2.22/0.53 % (584427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.53 % (584427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.53 % (584427)CaDiCaL version: 2.1.3
% 2.22/0.53 % (584427)Termination reason: Instruction limit
% 2.22/0.53 % (584427)Termination phase: Saturation
% 2.22/0.53 % (584427)Time elapsed: 0.026 s
% 2.22/0.53 % (584427)Peak memory usage: 12 MB
% 2.22/0.53 % (584427)Instructions burned: 118 (million)
% 2.22/0.53 % (584428)Instruction limit reached!
% 2.22/0.53 % (584428)------------------------------
% 2.22/0.53 % (584428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.53 % (584428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.53 % (584428)CaDiCaL version: 2.1.3
% 2.22/0.53 % (584428)Termination reason: Instruction limit
% 2.22/0.53 % (584428)Termination phase: Saturation
% 2.22/0.53 % (584428)Time elapsed: 0.029 s
% 2.22/0.53 % (584428)Peak memory usage: 12 MB
% 2.22/0.53 % (584428)Instructions burned: 132 (million)
% 2.22/0.53 % (584437)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2749864537:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.22/0.53 % (584429)Instruction limit reached!
% 2.22/0.53 % (584429)------------------------------
% 2.22/0.53 % (584429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.53 % (584429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.53 % (584429)CaDiCaL version: 2.1.3
% 2.22/0.53 % (584429)Termination reason: Instruction limit
% 2.22/0.53 % (584429)Termination phase: Saturation
% 2.22/0.53 % (584429)Time elapsed: 0.036 s
% 2.22/0.53 % (584429)Peak memory usage: 13 MB
% 2.22/0.53 % (584429)Instructions burned: 162 (million)
% 2.22/0.53 % (584438)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2696010278:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.22/0.53 % (584439)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3296981182:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.22/0.53 % (584440)ott-21_1_sil=16000:fs=off:random_seed=2168440967:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 2.22/0.53 % (584439)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.22/0.53 % (584443)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3448778025:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 2.22/0.53 % (584424)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.22/0.53 % Exception at run slice level
% 2.22/0.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.22/0.53 % (584439)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.22/0.53 % (584438)Instruction limit reached!
% 2.22/0.53 % (584438)------------------------------
% 2.22/0.53 % (584438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.53 % (584438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.53 % (584438)CaDiCaL version: 2.1.3
% 2.22/0.53 % (584438)Termination reason: Instruction limit
% 2.22/0.53 % (584438)Termination phase: Saturation
% 2.22/0.53 % (584438)Time elapsed: 0.028 s
% 2.22/0.53 % (584438)Peak memory usage: 12 MB
% 2.22/0.53 % (584438)Instructions burned: 132 (million)
% 2.22/0.53 % (584447)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4213713834:fmbsr=1.3:i=865:ins=25_2999 on theBenchmark for (2999ds/865Mi)
% 2.22/0.53 % (584448)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4114123384:i=1179_2999 on theBenchmark for (2999ds/1179Mi)
% 2.22/0.53 % Exception at run slice level
% 2.22/0.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.22/0.53 % (584440)Instruction limit reached!
% 2.22/0.53 % (584440)------------------------------
% 2.22/0.53 % (584440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.53 % (584440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.53 % (584440)CaDiCaL version: 2.1.3
% 2.22/0.53 % (584440)Termination reason: Instruction limit
% 2.22/0.53 % (584440)Termination phase: Saturation
% 2.22/0.53 % (584440)Time elapsed: 0.059 s
% 2.22/0.53 % (584440)Peak memory usage: 13 MB
% 2.22/0.53 % (584440)Instructions burned: 182 (million)
% 2.22/0.53 % (584451)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=908639104:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 2.22/0.53 % (584452)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=975618339:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 2.22/0.53 % (584452)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.22/0.53 % Exception at run slice level
% 2.22/0.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.22/0.53 % (584455)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1234036604:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 2.22/0.53 % (584455)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.22/0.53 % (584443)Instruction limit reached!
% 2.22/0.53 % (584443)------------------------------
% 2.22/0.53 % (584443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.53 % (584443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.53 % (584443)CaDiCaL version: 2.1.3
% 2.22/0.53 % (584443)Termination reason: Instruction limit
% 2.22/0.53 % (584443)Termination phase: Saturation
% 2.22/0.53 % (584443)Time elapsed: 0.125 s
% 2.22/0.53 % (584443)Peak memory usage: 15 MB
% 2.22/0.53 % (584443)Instructions burned: 480 (million)
% 2.22/0.53 % (584439)Instruction limit reached!
% 2.22/0.53 % (584439)------------------------------
% 2.22/0.53 % (584439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.53 % (584439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.53 % (584439)CaDiCaL version: 2.1.3
% 2.22/0.53 % (584439)Termination reason: Instruction limit
% 2.22/0.53 % (584439)Termination phase: Saturation
% 2.22/0.53 % (584439)Time elapsed: 0.137 s
% 2.22/0.53 % (584439)Peak memory usage: 14 MB
% 2.22/0.53 % (584439)Instructions burned: 685 (million)
% 2.22/0.53 % (584457)fmb+10_1_sil=64000:random_seed=1627046494:i=22061:nm=2:gsp=on_2998 on theBenchmark for (2998ds/22061Mi)
% 2.22/0.53 % (584458)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3396335184:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 2.22/0.53 % (584457)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.22/0.53 % Exception at run slice level
% 2.22/0.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.22/0.53 % Exception at run slice level
% 2.22/0.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.22/0.53 % (584461)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1452526962:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 2.22/0.53 % (584462)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=62877270:i=5131_2997 on theBenchmark for (2997ds/5131Mi)
% 2.22/0.53 % (584462)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.22/0.53 % Exception at run slice level
% 2.22/0.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.22/0.53 % (584465)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1495167079:i=1472:ins=7:fdi=8:gsp=on_2997 on theBenchmark for (2997ds/1472Mi)
% 2.22/0.53 % (584465)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.22/0.53 % (584465)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.22/0.53 % (584452)Instruction limit reached!
% 2.22/0.53 % (584452)------------------------------
% 2.22/0.53 % (584452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.53 % (584452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.53 % (584452)CaDiCaL version: 2.1.3
% 2.22/0.53 % (584452)Termination reason: Instruction limit
% 2.22/0.53 % (584452)Termination phase: Saturation
% 2.22/0.53 % (584452)Time elapsed: 0.196 s
% 2.22/0.53 % (584452)Peak memory usage: 17 MB
% 2.22/0.53 % (584452)Instructions burned: 695 (million)
% 2.22/0.53 % (584467)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2036050448:i=6324_2996 on theBenchmark for (2996ds/6324Mi)
% 2.22/0.53 % Exception at run slice level
% 2.22/0.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.22/0.53 % (584469)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3152350930:fmbsr=2.30978:i=2174_2996 on theBenchmark for (2996ds/2174Mi)
% 2.22/0.53 % (584424) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-584418-584424"...
% 2.22/0.53 % (584424)...printing done.
% 2.22/0.53 % (584424)Refutation found. Thanks to Tanya!
% 2.22/0.53 % SZS status Theorem for theBenchmark
% 2.22/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 2.22/0.54 % (584424)------------------------------
% 2.22/0.54 % (584424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.54 % (584424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.54 % (584424)CaDiCaL version: 2.1.3
% 2.22/0.54 % (584424)Termination reason: Refutation
% 2.22/0.54 % (584424)Time elapsed: 0.372 s
% 2.22/0.54 % (584424)Peak memory usage: 18 MB
% 2.22/0.54 % (584424)Instructions burned: 1022 (million)
% 2.22/0.54 % (584418)Success in time 0.405 s
% 2.22/0.54 % Vampire exiting
%------------------------------------------------------------------------------