0.11/0.27	% Problem    : SLH0222^1 : TPTP v8.2.0. Released v8.2.0.
0.11/0.28	% Command    : run_E %s %d THM
0.28/0.49	% Computer : n004.cluster.edu
0.28/0.49	% Model    : x86_64 x86_64
0.28/0.49	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.28/0.49	% Memory   : 8042.1875MB
0.28/0.49	% OS       : Linux 3.10.0-693.el7.x86_64
0.28/0.49	% CPULimit   : 30
0.28/0.49	% WCLimit    : 30
0.28/0.49	% DateTime   : Mon Jul  3 08:55:45 EDT 2023
0.28/0.49	% CPUTime    : 
0.37/0.62	The problem SPC is TH0_THM_EQU_NAR
0.37/0.62	Running higher-order on 1 cores theorem proving
0.37/0.62	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=1 --cpu-limit=30 /export/starexec/sandbox2/tmp/tmp.HBy4DJzk46/Vampire---4.8_17621
0.37/0.62	# Version: 3.0pre003-ho
0.46/1.01	# Preprocessing class: HMLMSMSMSSLNHSA.
0.46/1.01	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.46/1.01	# Starting sh2lt with 30s (1) cores
0.46/1.01	# sh2lt with pid 17801 completed with status 0
0.46/1.01	# Result found by sh2lt
0.46/1.01	# Preprocessing class: HMLMSMSMSSLNHSA.
0.46/1.01	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.46/1.01	# Starting sh2lt with 30s (1) cores
0.46/1.01	# SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
0.46/1.01	# ...ProofStateSinE()=1140/1428
0.46/1.01	# Search class: HGHSM-SMLM32-DHSFFSBN
0.46/1.01	# Scheduled 4 strats onto 1 cores with 30 seconds (30 total)
0.46/1.01	# Starting new_bool_8 with 19s (1) cores
0.46/1.01	# new_bool_8 with pid 17802 completed with status 0
0.46/1.01	# Result found by new_bool_8
0.46/1.01	# Preprocessing class: HMLMSMSMSSLNHSA.
0.46/1.01	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.46/1.01	# Starting sh2lt with 30s (1) cores
0.46/1.01	# SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
0.46/1.01	# ...ProofStateSinE()=1140/1428
0.46/1.01	# Search class: HGHSM-SMLM32-DHSFFSBN
0.46/1.01	# Scheduled 4 strats onto 1 cores with 30 seconds (30 total)
0.46/1.01	# Starting new_bool_8 with 19s (1) cores
0.46/1.01	# Preprocessing time       : 0.146 s
0.46/1.01	# Presaturation interreduction done
0.46/1.01	
0.46/1.01	# Proof found!
0.46/1.01	# SZS status Theorem
0.46/1.01	# SZS output start CNFRefutation
0.46/1.01	thf(decl_22, type, minus_3609261664126569004ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
0.46/1.01	thf(decl_23, type, minus_minus_int: int > int > int).
0.46/1.01	thf(decl_24, type, minus_3375643675566563378r_qr_a: kyber_qr_a > kyber_qr_a > kyber_qr_a).
0.46/1.01	thf(decl_25, type, minus_minus_nat: nat > nat > nat).
0.46/1.01	thf(decl_26, type, minus_5354101470050066234ring_a: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_27, type, minus_minus_poly_int: poly_int > poly_int > poly_int).
0.46/1.01	thf(decl_28, type, minus_6158295172277107514r_qr_a: poly_Kyber_qr_a > poly_Kyber_qr_a > poly_Kyber_qr_a).
0.46/1.01	thf(decl_29, type, minus_minus_poly_nat: poly_nat > poly_nat > poly_nat).
0.46/1.01	thf(decl_30, type, minus_8398332843867831112ring_a: poly_p2573953413498894561ring_a > poly_p2573953413498894561ring_a > poly_p2573953413498894561ring_a).
0.46/1.01	thf(decl_31, type, minus_821990653126410005ly_int: poly_poly_int > poly_poly_int > poly_poly_int).
0.46/1.01	thf(decl_32, type, minus_3312073798058136761ly_nat: poly_poly_nat > poly_poly_nat > poly_poly_nat).
0.46/1.01	thf(decl_33, type, minus_3359891461216738902ring_a: poly_p4807514599573898735ring_a > poly_p4807514599573898735ring_a > poly_p4807514599573898735ring_a).
0.46/1.01	thf(decl_34, type, minus_3485741671739589141y_real: poly_poly_real > poly_poly_real > poly_poly_real).
0.46/1.01	thf(decl_35, type, minus_7737989384826904205y_real: poly_real > poly_real > poly_real).
0.46/1.01	thf(decl_36, type, minus_minus_real: real > real > real).
0.46/1.01	thf(decl_37, type, one_on2109788427901206336ring_a: finite_mod_ring_a).
0.46/1.01	thf(decl_38, type, one_one_int: int).
0.46/1.01	thf(decl_39, type, one_one_Kyber_qr_a: kyber_qr_a).
0.46/1.01	thf(decl_40, type, one_one_nat: nat).
0.46/1.01	thf(decl_41, type, one_on3394844594818161742ring_a: poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_42, type, one_one_real: real).
0.46/1.01	thf(decl_43, type, plus_p6165643967897163644ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
0.46/1.01	thf(decl_44, type, plus_plus_int: int > int > int).
0.46/1.01	thf(decl_45, type, plus_plus_Kyber_qr_a: kyber_qr_a > kyber_qr_a > kyber_qr_a).
0.46/1.01	thf(decl_46, type, plus_plus_nat: nat > nat > nat).
0.46/1.01	thf(decl_47, type, plus_p7290290253215468682ring_a: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_48, type, plus_plus_poly_int: poly_int > poly_int > poly_int).
0.46/1.01	thf(decl_49, type, plus_plus_poly_nat: poly_nat > poly_nat > poly_nat).
0.46/1.01	thf(decl_50, type, plus_p7801688469192607896ring_a: poly_p2573953413498894561ring_a > poly_p2573953413498894561ring_a > poly_p2573953413498894561ring_a).
0.46/1.01	thf(decl_51, type, plus_plus_poly_real: poly_real > poly_real > poly_real).
0.46/1.01	thf(decl_52, type, plus_plus_real: real > real > real).
0.46/1.01	thf(decl_53, type, times_5121417576591743744ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
0.46/1.01	thf(decl_54, type, times_times_int: int > int > int).
0.46/1.01	thf(decl_55, type, times_2095635435063429214r_qr_a: kyber_qr_a > kyber_qr_a > kyber_qr_a).
0.46/1.01	thf(decl_56, type, times_times_nat: nat > nat > nat).
0.46/1.01	thf(decl_57, type, times_3242606764180207630ring_a: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_58, type, times_times_poly_int: poly_int > poly_int > poly_int).
0.46/1.01	thf(decl_59, type, times_7678616233722469404ring_a: poly_p2573953413498894561ring_a > poly_p2573953413498894561ring_a > poly_p2573953413498894561ring_a).
0.46/1.01	thf(decl_60, type, times_7914811829580426937y_real: poly_real > poly_real > poly_real).
0.46/1.01	thf(decl_61, type, times_times_real: real > real > real).
0.46/1.01	thf(decl_62, type, zero_z7902377541816115708ring_a: finite_mod_ring_a).
0.46/1.01	thf(decl_63, type, zero_zero_int: int).
0.46/1.01	thf(decl_64, type, zero_zero_Kyber_qr_a: kyber_qr_a).
0.46/1.01	thf(decl_65, type, zero_zero_nat: nat).
0.46/1.01	thf(decl_66, type, zero_z1830546546923837194ring_a: poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_67, type, zero_zero_poly_int: poly_int).
0.46/1.01	thf(decl_68, type, zero_zero_poly_nat: poly_nat).
0.46/1.01	thf(decl_69, type, zero_z1364739659462972184ring_a: poly_p2573953413498894561ring_a).
0.46/1.01	thf(decl_70, type, zero_zero_poly_real: poly_real).
0.46/1.01	thf(decl_71, type, zero_zero_real: real).
0.46/1.01	thf(decl_72, type, groups3558780024651037881ring_a: (nat > finite_mod_ring_a) > set_nat > finite_mod_ring_a).
0.46/1.01	thf(decl_73, type, groups3539618377306564664at_int: (nat > int) > set_nat > int).
0.46/1.01	thf(decl_74, type, groups6127057292362189285r_qr_a: (nat > kyber_qr_a) > set_nat > kyber_qr_a).
0.46/1.01	thf(decl_75, type, groups3542108847815614940at_nat: (nat > nat) > set_nat > nat).
0.46/1.01	thf(decl_76, type, groups1100895988254884807ring_a: (nat > poly_F3299452240248304339ring_a) > set_nat > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_77, type, groups9098942901298948672ly_int: (nat > poly_int) > set_nat > poly_int).
0.46/1.01	thf(decl_78, type, groups8420445590336877293r_qr_a: (nat > poly_Kyber_qr_a) > set_nat > poly_Kyber_qr_a).
0.46/1.01	thf(decl_79, type, groups4053421883953369572ly_nat: (nat > poly_nat) > set_nat > poly_nat).
0.46/1.01	thf(decl_80, type, groups5132816768496341461ring_a: (nat > poly_p2573953413498894561ring_a) > set_nat > poly_p2573953413498894561ring_a).
0.46/1.01	thf(decl_81, type, groups9030541272268300864y_real: (nat > poly_real) > set_nat > poly_real).
0.46/1.01	thf(decl_82, type, groups6591440286371151544t_real: (nat > real) > set_nat > real).
0.46/1.01	thf(decl_83, type, groups465414945397457501ring_a: (real > finite_mod_ring_a) > set_real > finite_mod_ring_a).
0.46/1.01	thf(decl_84, type, groups1932886352136224148al_int: (real > int) > set_real > int).
0.46/1.01	thf(decl_85, type, groups1935376822645274424al_nat: (real > nat) > set_real > nat).
0.46/1.01	thf(decl_86, type, groups8097168146408367636l_real: (real > real) > set_real > real).
0.46/1.01	thf(decl_87, type, if_int: $o > int > int > int).
0.46/1.01	thf(decl_88, type, if_nat: $o > nat > nat > nat).
0.46/1.01	thf(decl_89, type, nat2: int > nat).
0.46/1.01	thf(decl_90, type, kyber_of_qr_a: kyber_qr_a > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_91, type, kyber_qr_poly_a: poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_92, type, nTT_ky8185916800193505416sign_a: int > finite_mod_ring_a).
0.46/1.01	thf(decl_93, type, nTT_ky790528430515779601ring_a: nat > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_94, type, nTT_ky7844408764402957685conv_a: nat > kyber_qr_a > kyber_qr_a > kyber_qr_a).
0.46/1.01	thf(decl_95, type, nTT_ky3493641264504450921ring_a: nat > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_96, type, semiri9180929696517417892ring_a: nat > finite_mod_ring_a).
0.46/1.01	thf(decl_97, type, semiri1314217659103216013at_int: nat > int).
0.46/1.01	thf(decl_98, type, semiri7313030098341262522r_qr_a: nat > kyber_qr_a).
0.46/1.01	thf(decl_99, type, semiri1316708129612266289at_nat: nat > nat).
0.46/1.01	thf(decl_100, type, semiri8000969770135892146ring_a: nat > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_101, type, semiri6323754628967941525ly_int: nat > poly_int).
0.46/1.01	thf(decl_102, type, semiri7892994009453673664ring_a: nat > poly_p2573953413498894561ring_a).
0.46/1.01	thf(decl_103, type, semiri1039972187744592661y_real: nat > poly_real).
0.46/1.01	thf(decl_104, type, semiri5074537144036343181t_real: nat > real).
0.46/1.01	thf(decl_105, type, ord_less_int: int > int > $o).
0.46/1.01	thf(decl_106, type, ord_less_nat: nat > nat > $o).
0.46/1.01	thf(decl_107, type, ord_less_poly_int: poly_int > poly_int > $o).
0.46/1.01	thf(decl_108, type, ord_less_poly_real: poly_real > poly_real > $o).
0.46/1.01	thf(decl_109, type, ord_less_real: real > real > $o).
0.46/1.01	thf(decl_110, type, ord_less_set_int: set_int > set_int > $o).
0.46/1.01	thf(decl_111, type, ord_less_set_nat: set_nat > set_nat > $o).
0.46/1.01	thf(decl_112, type, ord_less_set_real: set_real > set_real > $o).
0.46/1.01	thf(decl_113, type, ord_less_eq_int: int > int > $o).
0.46/1.01	thf(decl_114, type, ord_less_eq_nat: nat > nat > $o).
0.46/1.01	thf(decl_115, type, ord_less_eq_real: real > real > $o).
0.46/1.01	thf(decl_116, type, degree4881254707062955960ring_a: poly_F3299452240248304339ring_a > nat).
0.46/1.01	thf(decl_117, type, coeff_1607515655354303335ring_a: poly_F3299452240248304339ring_a > nat > finite_mod_ring_a).
0.46/1.01	thf(decl_118, type, coeff_int: poly_int > nat > int).
0.46/1.01	thf(decl_119, type, coeff_Kyber_qr_a: poly_Kyber_qr_a > nat > kyber_qr_a).
0.46/1.01	thf(decl_120, type, coeff_nat: poly_nat > nat > nat).
0.46/1.01	thf(decl_121, type, coeff_7919988552178873973ring_a: poly_p2573953413498894561ring_a > nat > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_122, type, coeff_poly_int: poly_poly_int > nat > poly_int).
0.46/1.01	thf(decl_123, type, coeff_poly_nat: poly_poly_nat > nat > poly_nat).
0.46/1.01	thf(decl_124, type, coeff_3719764296802005123ring_a: poly_p4807514599573898735ring_a > nat > poly_p2573953413498894561ring_a).
0.46/1.01	thf(decl_125, type, coeff_poly_real: poly_poly_real > nat > poly_real).
0.46/1.01	thf(decl_126, type, coeff_real: poly_real > nat > real).
0.46/1.01	thf(decl_127, type, divide972148758386938611ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
0.46/1.01	thf(decl_128, type, divide_divide_int: int > int > int).
0.46/1.01	thf(decl_129, type, divide_divide_nat: nat > nat > nat).
0.46/1.01	thf(decl_130, type, divide6384432771786456577ring_a: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_131, type, divide4806390878538113158y_real: poly_real > poly_real > poly_real).
0.46/1.01	thf(decl_132, type, divide_divide_real: real > real > real).
0.46/1.01	thf(decl_133, type, modulo8308552932176287283ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
0.46/1.01	thf(decl_134, type, modulo_modulo_int: int > int > int).
0.46/1.01	thf(decl_135, type, modulo_modulo_nat: nat > nat > nat).
0.46/1.01	thf(decl_136, type, modulo2591651872109920577ring_a: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_137, type, modulo1005709784971636038y_real: poly_real > poly_real > poly_real).
0.46/1.01	thf(decl_138, type, modulo_modulo_real: real > real > real).
0.46/1.01	thf(decl_139, type, collect_int: (int > $o) > set_int).
0.46/1.01	thf(decl_140, type, collect_nat: (nat > $o) > set_nat).
0.46/1.01	thf(decl_141, type, collect_real: (real > $o) > set_real).
0.46/1.01	thf(decl_142, type, set_ord_lessThan_int: int > set_int).
0.46/1.01	thf(decl_143, type, set_ord_lessThan_nat: nat > set_nat).
0.46/1.01	thf(decl_144, type, set_or5984915006950818249n_real: real > set_real).
0.46/1.01	thf(decl_145, type, arsinh_real: real > real).
0.46/1.01	thf(decl_146, type, artanh_real: real > real).
0.46/1.01	thf(decl_147, type, member_int: int > set_int > $o).
0.46/1.01	thf(decl_148, type, member_nat: nat > set_nat > $o).
0.46/1.01	thf(decl_149, type, member_real: real > set_real > $o).
0.46/1.01	thf(decl_150, type, f: kyber_qr_a).
0.46/1.01	thf(decl_151, type, g: kyber_qr_a).
0.46/1.01	thf(decl_152, type, j: nat).
0.46/1.01	thf(decl_153, type, mult_factor: int).
0.46/1.01	thf(decl_154, type, n: nat).
0.46/1.01	thf(decl_155, type, n2: nat).
0.46/1.01	thf(decl_156, type, epred1_3: (int > $o) > int > int > $o).
0.46/1.01	thf(decl_157, type, epred2_3: (int > $o) > int > int > $o).
0.46/1.01	thf(decl_158, type, esk1_3: set_real > (nat > real) > (real > nat) > real).
0.46/1.01	thf(decl_159, type, esk2_4: set_real > (nat > real) > (real > nat) > set_nat > real).
0.46/1.01	thf(decl_160, type, esk3_4: set_real > (nat > real) > (real > nat) > set_nat > nat).
0.46/1.01	thf(decl_161, type, esk4_4: set_real > (nat > real) > (real > nat) > set_nat > nat).
0.46/1.01	thf(decl_162, type, esk5_6: set_real > (nat > real) > (real > nat) > set_nat > (nat > finite_mod_ring_a) > (real > finite_mod_ring_a) > real).
0.46/1.01	thf(decl_163, type, esk6_4: set_nat > (nat > real) > set_real > (real > nat) > nat).
0.46/1.01	thf(decl_164, type, esk7_6: set_nat > (nat > real) > set_real > (real > nat) > (nat > finite_mod_ring_a) > (real > finite_mod_ring_a) > real).
0.46/1.01	thf(decl_165, type, esk8_3: set_nat > set_real > (real > nat) > nat).
0.46/1.01	thf(decl_166, type, esk9_4: set_nat > set_real > (real > nat) > real > real).
0.46/1.01	thf(decl_167, type, esk10_5: set_nat > set_real > (real > nat) > (nat > finite_mod_ring_a) > (real > finite_mod_ring_a) > real).
0.46/1.01	thf(decl_168, type, esk11_4: set_nat > set_nat > (nat > finite_mod_ring_a) > (nat > finite_mod_ring_a) > nat).
0.46/1.01	thf(decl_169, type, esk12_2: (nat > finite_mod_ring_a) > set_nat > nat).
0.46/1.01	thf(decl_170, type, esk13_2: set_nat > (nat > finite_mod_ring_a) > nat).
0.46/1.01	thf(decl_171, type, esk14_2: (finite_mod_ring_a > $o) > finite_mod_ring_a > finite_mod_ring_a).
0.46/1.01	thf(decl_172, type, esk15_2: (finite_mod_ring_a > $o) > finite_mod_ring_a > finite_mod_ring_a).
0.46/1.01	thf(decl_173, type, esk16_3: (finite_mod_ring_a > $o) > finite_mod_ring_a > (finite_mod_ring_a > $o) > finite_mod_ring_a).
0.46/1.01	thf(decl_174, type, esk17_3: (finite_mod_ring_a > $o) > finite_mod_ring_a > (finite_mod_ring_a > $o) > finite_mod_ring_a).
0.46/1.01	thf(decl_175, type, esk18_2: (finite_mod_ring_a > $o) > finite_mod_ring_a > finite_mod_ring_a).
0.46/1.01	thf(decl_176, type, esk19_2: (finite_mod_ring_a > $o) > finite_mod_ring_a > finite_mod_ring_a).
0.46/1.01	thf(decl_177, type, esk20_3: (finite_mod_ring_a > $o) > finite_mod_ring_a > (finite_mod_ring_a > $o) > finite_mod_ring_a).
0.46/1.01	thf(decl_178, type, esk21_3: (finite_mod_ring_a > $o) > finite_mod_ring_a > (finite_mod_ring_a > $o) > finite_mod_ring_a).
0.46/1.01	thf(decl_179, type, esk22_2: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > nat).
0.46/1.01	thf(decl_180, type, esk23_2: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > nat).
0.46/1.01	thf(decl_181, type, esk24_2: (nat > $o) > int > nat).
0.46/1.01	thf(decl_182, type, esk25_1: (nat > $o) > nat).
0.46/1.01	thf(decl_183, type, esk26_1: (nat > $o) > int).
0.46/1.01	thf(decl_184, type, esk27_1: (nat > $o) > int).
0.46/1.01	thf(decl_185, type, esk28_1: (nat > $o) > nat).
0.46/1.01	thf(decl_186, type, esk29_1: (int > int > $o) > int).
0.46/1.01	thf(decl_187, type, esk30_1: (int > int > $o) > int).
0.46/1.01	thf(decl_188, type, esk31_1: (int > int > $o) > int).
0.46/1.01	thf(decl_189, type, esk32_2: int > int > int).
0.46/1.01	thf(decl_190, type, esk33_1: int > nat).
0.46/1.01	thf(decl_191, type, esk34_1: int > nat).
0.46/1.01	thf(decl_192, type, esk35_1: int > nat).
0.46/1.01	thf(decl_193, type, esk36_1: int > nat).
0.46/1.01	thf(decl_194, type, esk37_2: int > int > nat).
0.46/1.01	thf(decl_195, type, esk38_1: int > nat).
0.46/1.01	thf(decl_196, type, esk39_1: int > nat).
0.46/1.01	thf(decl_197, type, esk40_2: int > (int > $o) > int).
0.46/1.01	thf(decl_198, type, esk41_2: int > (int > $o) > int).
0.46/1.01	thf(decl_199, type, esk42_4: int > (int > $o) > (int > $o) > int > int).
0.46/1.01	thf(decl_200, type, esk43_3: int > (int > $o) > (int > $o) > int).
0.46/1.01	thf(decl_201, type, esk44_2: int > (int > $o) > int).
0.46/1.01	thf(decl_202, type, esk45_2: int > (int > $o) > int).
0.46/1.01	thf(decl_203, type, esk46_4: int > (int > $o) > (int > $o) > int > int).
0.46/1.01	thf(decl_204, type, esk47_3: int > (int > $o) > (int > $o) > int).
0.46/1.01	thf(decl_205, type, esk48_2: (int > $o) > int > int).
0.46/1.01	thf(decl_206, type, esk49_2: (int > $o) > int > int).
0.46/1.01	thf(decl_207, type, esk50_3: (int > $o) > int > (int > $o) > int).
0.46/1.01	thf(decl_208, type, esk51_3: (int > $o) > int > (int > $o) > int).
0.46/1.01	thf(decl_209, type, esk52_2: (int > $o) > int > int).
0.46/1.01	thf(decl_210, type, esk53_2: (int > $o) > int > int).
0.46/1.01	thf(decl_211, type, esk54_3: (int > $o) > int > (int > $o) > int).
0.46/1.01	thf(decl_212, type, esk55_3: (int > $o) > int > (int > $o) > int).
0.46/1.01	thf(decl_213, type, esk56_3: int > int > (int > $o) > int).
0.46/1.01	thf(decl_214, type, esk57_2: (int > $o) > int > int).
0.46/1.01	thf(decl_215, type, esk58_2: (int > $o) > int > int).
0.46/1.01	thf(decl_216, type, esk59_3: int > int > (int > $o) > int).
0.46/1.01	thf(decl_217, type, esk60_2: int > (int > $o) > int).
0.46/1.01	thf(decl_218, type, esk61_3: set_real > (nat > real) > (real > nat) > real).
0.46/1.01	thf(decl_219, type, esk62_4: set_real > (nat > real) > (real > nat) > set_nat > real).
0.46/1.01	thf(decl_220, type, esk63_4: set_real > (nat > real) > (real > nat) > set_nat > nat).
0.46/1.01	thf(decl_221, type, esk64_4: set_real > (nat > real) > (real > nat) > set_nat > nat).
0.46/1.01	thf(decl_222, type, esk65_6: set_real > (nat > real) > (real > nat) > set_nat > (nat > nat) > (real > nat) > real).
0.46/1.01	thf(decl_223, type, esk66_3: set_nat > (real > nat) > (nat > real) > nat).
0.46/1.01	thf(decl_224, type, esk67_4: set_nat > (real > nat) > (nat > real) > set_real > nat).
0.46/1.01	thf(decl_225, type, esk68_4: set_nat > (real > nat) > (nat > real) > set_real > real).
0.46/1.01	thf(decl_226, type, esk69_4: set_nat > (real > nat) > (nat > real) > set_real > real).
0.46/1.01	thf(decl_227, type, esk70_6: set_nat > (real > nat) > (nat > real) > set_real > (real > nat) > (nat > nat) > nat).
0.46/1.01	thf(decl_228, type, esk71_3: set_nat > (nat > nat) > (nat > nat) > nat).
0.46/1.01	thf(decl_229, type, esk72_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat).
0.46/1.01	thf(decl_230, type, esk73_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat).
0.46/1.01	thf(decl_231, type, esk74_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat).
0.46/1.01	thf(decl_232, type, esk75_6: set_nat > (nat > nat) > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > nat).
0.46/1.01	thf(decl_233, type, esk76_4: set_nat > (nat > real) > set_real > (real > nat) > nat).
0.46/1.01	thf(decl_234, type, esk77_6: set_nat > (nat > real) > set_real > (real > nat) > (nat > nat) > (real > nat) > real).
0.46/1.01	thf(decl_235, type, esk78_4: set_real > (real > nat) > set_nat > (nat > real) > real).
0.46/1.01	thf(decl_236, type, esk79_6: set_real > (real > nat) > set_nat > (nat > real) > (real > nat) > (nat > nat) > nat).
0.46/1.01	thf(decl_237, type, esk80_4: set_nat > (nat > nat) > set_nat > (nat > nat) > nat).
0.46/1.01	thf(decl_238, type, esk81_6: set_nat > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > (nat > nat) > nat).
0.46/1.01	thf(decl_239, type, esk82_3: set_nat > set_real > (real > nat) > nat).
0.46/1.01	thf(decl_240, type, esk83_4: set_nat > set_real > (real > nat) > real > real).
0.46/1.01	thf(decl_241, type, esk84_5: set_nat > set_real > (real > nat) > (nat > nat) > (real > nat) > real).
0.46/1.01	thf(decl_242, type, esk85_3: set_real > set_nat > (nat > real) > real).
0.46/1.01	thf(decl_243, type, esk86_4: set_real > set_nat > (nat > real) > nat > nat).
0.46/1.01	thf(decl_244, type, esk87_5: set_real > set_nat > (nat > real) > (real > nat) > (nat > nat) > nat).
0.46/1.01	thf(decl_245, type, esk88_3: set_nat > set_nat > (nat > nat) > nat).
0.46/1.01	thf(decl_246, type, esk89_4: set_nat > set_nat > (nat > nat) > nat > nat).
0.46/1.01	thf(decl_247, type, esk90_5: set_nat > set_nat > (nat > nat) > (nat > nat) > (nat > nat) > nat).
0.46/1.01	thf(decl_248, type, esk91_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat).
0.46/1.01	thf(decl_249, type, esk92_2: (nat > nat) > set_nat > nat).
0.46/1.01	thf(decl_250, type, esk93_2: set_nat > (nat > nat) > nat).
0.46/1.01	thf(decl_251, type, esk94_1: (finite_mod_ring_a > finite_mod_ring_a > $o) > finite_mod_ring_a).
0.46/1.01	thf(decl_252, type, esk95_1: (finite_mod_ring_a > finite_mod_ring_a > $o) > finite_mod_ring_a).
0.46/1.01	thf(decl_253, type, esk96_1: (finite_mod_ring_a > finite_mod_ring_a > $o) > finite_mod_ring_a).
0.46/1.01	thf(decl_254, type, esk97_4: set_nat > set_nat > (nat > poly_F3299452240248304339ring_a) > (nat > poly_F3299452240248304339ring_a) > nat).
0.46/1.01	thf(decl_255, type, esk98_2: (nat > poly_F3299452240248304339ring_a) > set_nat > nat).
0.46/1.01	thf(decl_256, type, esk99_2: set_nat > (nat > poly_F3299452240248304339ring_a) > nat).
0.46/1.01	thf(decl_257, type, esk100_2: (real > finite_mod_ring_a) > set_real > real).
0.46/1.01	thf(decl_258, type, esk101_3: set_real > (nat > real) > (real > nat) > real).
0.46/1.01	thf(decl_259, type, esk102_4: set_real > (nat > real) > (real > nat) > set_nat > real).
0.46/1.01	thf(decl_260, type, esk103_4: set_real > (nat > real) > (real > nat) > set_nat > nat).
0.46/1.01	thf(decl_261, type, esk104_4: set_real > (nat > real) > (real > nat) > set_nat > nat).
0.46/1.01	thf(decl_262, type, esk105_6: set_real > (nat > real) > (real > nat) > set_nat > (nat > real) > (real > real) > real).
0.46/1.01	thf(decl_263, type, esk106_3: set_real > (nat > real) > (real > nat) > real).
0.46/1.01	thf(decl_264, type, esk107_4: set_real > (nat > real) > (real > nat) > set_nat > real).
0.46/1.01	thf(decl_265, type, esk108_4: set_real > (nat > real) > (real > nat) > set_nat > nat).
0.46/1.01	thf(decl_266, type, esk109_4: set_real > (nat > real) > (real > nat) > set_nat > nat).
0.46/1.01	thf(decl_267, type, esk110_6: set_real > (nat > real) > (real > nat) > set_nat > (nat > int) > (real > int) > real).
0.46/1.01	thf(decl_268, type, esk111_3: set_nat > (real > nat) > (nat > real) > nat).
0.46/1.01	thf(decl_269, type, esk112_4: set_nat > (real > nat) > (nat > real) > set_real > nat).
0.46/1.01	thf(decl_270, type, esk113_4: set_nat > (real > nat) > (nat > real) > set_real > real).
0.46/1.01	thf(decl_271, type, esk114_4: set_nat > (real > nat) > (nat > real) > set_real > real).
0.46/1.01	thf(decl_272, type, esk115_6: set_nat > (real > nat) > (nat > real) > set_real > (real > real) > (nat > real) > nat).
0.46/1.01	thf(decl_273, type, esk116_3: set_nat > (real > nat) > (nat > real) > nat).
0.46/1.01	thf(decl_274, type, esk117_4: set_nat > (real > nat) > (nat > real) > set_real > nat).
0.46/1.01	thf(decl_275, type, esk118_4: set_nat > (real > nat) > (nat > real) > set_real > real).
0.46/1.01	thf(decl_276, type, esk119_4: set_nat > (real > nat) > (nat > real) > set_real > real).
0.46/1.01	thf(decl_277, type, esk120_6: set_nat > (real > nat) > (nat > real) > set_real > (real > int) > (nat > int) > nat).
0.46/1.01	thf(decl_278, type, esk121_4: set_nat > (nat > real) > set_real > (real > nat) > nat).
0.46/1.01	thf(decl_279, type, esk122_6: set_nat > (nat > real) > set_real > (real > nat) > (nat > real) > (real > real) > real).
0.46/1.01	thf(decl_280, type, esk123_4: set_nat > (nat > real) > set_real > (real > nat) > nat).
0.46/1.01	thf(decl_281, type, esk124_6: set_nat > (nat > real) > set_real > (real > nat) > (nat > int) > (real > int) > real).
0.46/1.01	thf(decl_282, type, esk125_4: set_real > (real > nat) > set_nat > (nat > real) > real).
0.46/1.01	thf(decl_283, type, esk126_6: set_real > (real > nat) > set_nat > (nat > real) > (real > real) > (nat > real) > nat).
0.46/1.01	thf(decl_284, type, esk127_4: set_real > (real > nat) > set_nat > (nat > real) > real).
0.46/1.01	thf(decl_285, type, esk128_6: set_real > (real > nat) > set_nat > (nat > real) > (real > int) > (nat > int) > nat).
0.46/1.01	thf(decl_286, type, esk129_3: set_nat > set_real > (real > nat) > nat).
0.46/1.01	thf(decl_287, type, esk130_4: set_nat > set_real > (real > nat) > real > real).
0.46/1.01	thf(decl_288, type, esk131_5: set_nat > set_real > (real > nat) > (nat > real) > (real > real) > real).
0.46/1.01	thf(decl_289, type, esk132_3: set_nat > set_real > (real > nat) > nat).
0.46/1.01	thf(decl_290, type, esk133_4: set_nat > set_real > (real > nat) > real > real).
0.46/1.01	thf(decl_291, type, esk134_5: set_nat > set_real > (real > nat) > (nat > int) > (real > int) > real).
0.46/1.01	thf(decl_292, type, esk135_3: set_real > set_nat > (nat > real) > real).
0.46/1.01	thf(decl_293, type, esk136_4: set_real > set_nat > (nat > real) > nat > nat).
0.46/1.01	thf(decl_294, type, esk137_5: set_real > set_nat > (nat > real) > (real > real) > (nat > real) > nat).
0.46/1.01	thf(decl_295, type, esk138_3: set_real > set_nat > (nat > real) > real).
0.46/1.01	thf(decl_296, type, esk139_4: set_real > set_nat > (nat > real) > nat > nat).
0.46/1.01	thf(decl_297, type, esk140_5: set_real > set_nat > (nat > real) > (real > int) > (nat > int) > nat).
0.46/1.01	thf(decl_298, type, esk141_2: (real > int) > set_real > real).
0.46/1.01	thf(decl_299, type, esk142_2: (real > nat) > set_real > real).
0.46/1.01	thf(decl_300, type, esk143_2: (real > real) > set_real > real).
0.46/1.01	thf(decl_301, type, esk144_2: set_real > real > real).
0.46/1.01	thf(decl_302, type, esk145_1: set_real > real).
0.46/1.01	thf(decl_303, type, esk146_2: set_real > real > real).
0.46/1.01	thf(decl_304, type, esk147_3: set_nat > (nat > nat) > (nat > nat) > nat).
0.46/1.01	thf(decl_305, type, esk148_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat).
0.46/1.01	thf(decl_306, type, esk149_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat).
0.46/1.01	thf(decl_307, type, esk150_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat).
0.46/1.01	thf(decl_308, type, esk151_6: set_nat > (nat > nat) > (nat > nat) > set_nat > (nat > real) > (nat > real) > nat).
0.46/1.01	thf(decl_309, type, esk152_3: set_nat > (nat > nat) > (nat > nat) > nat).
0.46/1.01	thf(decl_310, type, esk153_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat).
0.46/1.01	thf(decl_311, type, esk154_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat).
0.46/1.01	thf(decl_312, type, esk155_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat).
0.46/1.01	thf(decl_313, type, esk156_6: set_nat > (nat > nat) > (nat > nat) > set_nat > (nat > int) > (nat > int) > nat).
0.46/1.01	thf(decl_314, type, esk157_4: set_nat > (nat > nat) > set_nat > (nat > nat) > nat).
0.46/1.01	thf(decl_315, type, esk158_6: set_nat > (nat > nat) > set_nat > (nat > nat) > (nat > real) > (nat > real) > nat).
0.46/1.01	thf(decl_316, type, esk159_4: set_nat > (nat > nat) > set_nat > (nat > nat) > nat).
0.46/1.01	thf(decl_317, type, esk160_6: set_nat > (nat > nat) > set_nat > (nat > nat) > (nat > int) > (nat > int) > nat).
0.46/1.01	thf(decl_318, type, esk161_3: set_nat > set_nat > (nat > nat) > nat).
0.46/1.01	thf(decl_319, type, esk162_4: set_nat > set_nat > (nat > nat) > nat > nat).
0.46/1.01	thf(decl_320, type, esk163_5: set_nat > set_nat > (nat > nat) > (nat > real) > (nat > real) > nat).
0.46/1.01	thf(decl_321, type, esk164_3: set_nat > set_nat > (nat > nat) > nat).
0.46/1.01	thf(decl_322, type, esk165_4: set_nat > set_nat > (nat > nat) > nat > nat).
0.46/1.01	thf(decl_323, type, esk166_5: set_nat > set_nat > (nat > nat) > (nat > int) > (nat > int) > nat).
0.46/1.01	thf(decl_324, type, esk167_4: set_nat > set_nat > (nat > real) > (nat > real) > nat).
0.46/1.01	thf(decl_325, type, esk168_4: set_nat > set_nat > (nat > int) > (nat > int) > nat).
0.46/1.01	thf(decl_326, type, esk169_4: set_nat > set_nat > (nat > kyber_qr_a) > (nat > kyber_qr_a) > nat).
0.46/1.01	thf(decl_327, type, esk170_2: (nat > real) > set_nat > nat).
0.46/1.01	thf(decl_328, type, esk171_2: (nat > int) > set_nat > nat).
0.46/1.01	thf(decl_329, type, esk172_2: (nat > kyber_qr_a) > set_nat > nat).
0.46/1.01	thf(decl_330, type, esk173_2: set_nat > (nat > real) > nat).
0.46/1.01	thf(decl_331, type, esk174_2: set_nat > (nat > int) > nat).
0.46/1.01	thf(decl_332, type, esk175_2: set_nat > (nat > kyber_qr_a) > nat).
0.46/1.01	thf(decl_333, type, esk176_2: (poly_F3299452240248304339ring_a > $o) > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_334, type, esk177_2: (poly_F3299452240248304339ring_a > $o) > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_335, type, esk178_3: (poly_F3299452240248304339ring_a > $o) > poly_F3299452240248304339ring_a > (poly_F3299452240248304339ring_a > $o) > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_336, type, esk179_3: (poly_F3299452240248304339ring_a > $o) > poly_F3299452240248304339ring_a > (poly_F3299452240248304339ring_a > $o) > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_337, type, esk180_2: (poly_F3299452240248304339ring_a > $o) > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_338, type, esk181_2: (poly_F3299452240248304339ring_a > $o) > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_339, type, esk182_3: (poly_F3299452240248304339ring_a > $o) > poly_F3299452240248304339ring_a > (poly_F3299452240248304339ring_a > $o) > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_340, type, esk183_3: (poly_F3299452240248304339ring_a > $o) > poly_F3299452240248304339ring_a > (poly_F3299452240248304339ring_a > $o) > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_341, type, esk184_2: (kyber_qr_a > $o) > kyber_qr_a > kyber_qr_a).
0.46/1.01	thf(decl_342, type, esk185_2: (kyber_qr_a > $o) > kyber_qr_a > kyber_qr_a).
0.46/1.01	thf(decl_343, type, esk186_3: (kyber_qr_a > $o) > kyber_qr_a > (kyber_qr_a > $o) > kyber_qr_a).
0.46/1.01	thf(decl_344, type, esk187_3: (kyber_qr_a > $o) > kyber_qr_a > (kyber_qr_a > $o) > kyber_qr_a).
0.46/1.01	thf(decl_345, type, esk188_2: (kyber_qr_a > $o) > kyber_qr_a > kyber_qr_a).
0.46/1.01	thf(decl_346, type, esk189_2: (kyber_qr_a > $o) > kyber_qr_a > kyber_qr_a).
0.46/1.01	thf(decl_347, type, esk190_3: (kyber_qr_a > $o) > kyber_qr_a > (kyber_qr_a > $o) > kyber_qr_a).
0.46/1.01	thf(decl_348, type, esk191_3: (kyber_qr_a > $o) > kyber_qr_a > (kyber_qr_a > $o) > kyber_qr_a).
0.46/1.01	thf(decl_349, type, esk192_2: int > (int > $o) > int).
0.46/1.01	thf(decl_350, type, esk193_2: (real > $o) > real > real).
0.46/1.01	thf(decl_351, type, esk194_2: (real > $o) > real > real).
0.46/1.01	thf(decl_352, type, esk195_3: (real > $o) > real > (real > $o) > real).
0.46/1.01	thf(decl_353, type, esk196_3: (real > $o) > real > (real > $o) > real).
0.46/1.01	thf(decl_354, type, esk197_2: (real > $o) > real > real).
0.46/1.01	thf(decl_355, type, esk198_2: (real > $o) > real > real).
0.46/1.01	thf(decl_356, type, esk199_3: (real > $o) > real > (real > $o) > real).
0.46/1.01	thf(decl_357, type, esk200_3: (real > $o) > real > (real > $o) > real).
0.46/1.01	thf(decl_358, type, esk201_2: real > real > nat).
0.46/1.01	thf(decl_359, type, esk202_2: real > real > nat).
0.46/1.01	thf(decl_360, type, esk203_1: real > nat).
0.46/1.01	thf(decl_361, type, esk204_2: real > real > nat).
0.46/1.01	thf(decl_362, type, esk205_1: (nat > $o) > nat).
0.46/1.01	thf(decl_363, type, esk206_1: (nat > $o) > nat).
0.46/1.01	thf(decl_364, type, esk207_1: (nat > $o) > nat).
0.46/1.01	thf(decl_365, type, esk208_3: (nat > $o) > (nat > $o) > nat > nat).
0.46/1.01	thf(decl_366, type, esk209_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
0.46/1.01	thf(decl_367, type, esk210_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
0.46/1.01	thf(decl_368, type, esk211_3: (nat > $o) > (nat > $o) > nat > nat).
0.46/1.01	thf(decl_369, type, esk212_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
0.46/1.01	thf(decl_370, type, esk213_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
0.46/1.01	thf(decl_371, type, esk214_1: nat > nat).
0.46/1.01	thf(decl_372, type, esk215_1: nat > nat).
0.46/1.01	thf(decl_373, type, esk216_1: nat > nat).
0.46/1.01	thf(decl_374, type, esk217_1: nat > nat).
0.46/1.01	thf(decl_375, type, esk218_3: (nat > $o) > (nat > $o) > nat > nat).
0.46/1.01	thf(decl_376, type, esk219_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
0.46/1.01	thf(decl_377, type, esk220_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
0.46/1.01	thf(decl_378, type, esk221_3: (nat > $o) > (nat > $o) > nat > nat).
0.46/1.01	thf(decl_379, type, esk222_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
0.46/1.01	thf(decl_380, type, esk223_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
0.46/1.01	thf(decl_381, type, esk224_1: nat > nat).
0.46/1.01	thf(decl_382, type, esk225_1: nat > nat).
0.46/1.01	thf(decl_383, type, esk226_1: nat > nat).
0.46/1.01	thf(decl_384, type, esk227_1: nat > nat).
0.46/1.01	thf(decl_385, type, esk228_1: (nat > nat) > nat).
0.46/1.01	thf(decl_386, type, esk229_1: (nat > nat) > nat).
0.46/1.01	thf(decl_387, type, esk230_2: (nat > $o) > nat > nat).
0.46/1.01	thf(decl_388, type, esk231_2: nat > nat > nat).
0.46/1.01	thf(decl_389, type, esk232_1: (nat > nat) > nat).
0.46/1.01	thf(decl_390, type, esk233_1: (nat > nat) > nat).
0.46/1.01	thf(decl_391, type, esk234_3: (nat > $o) > nat > nat > nat).
0.46/1.01	thf(decl_392, type, esk235_3: (nat > $o) > nat > nat > nat).
0.46/1.01	thf(decl_393, type, esk236_3: (nat > $o) > nat > nat > nat).
0.46/1.01	thf(decl_394, type, esk237_3: (nat > $o) > nat > nat > nat).
0.46/1.01	thf(decl_395, type, esk238_3: (nat > $o) > nat > nat > nat).
0.46/1.01	thf(decl_396, type, esk239_3: (nat > $o) > nat > nat > nat).
0.46/1.01	thf(decl_397, type, esk240_3: (int > $o) > (int > $o) > int > int).
0.46/1.01	thf(decl_398, type, esk241_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
0.46/1.01	thf(decl_399, type, esk242_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
0.46/1.01	thf(decl_400, type, esk243_3: (int > $o) > (int > $o) > int > int).
0.46/1.01	thf(decl_401, type, esk244_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
0.46/1.01	thf(decl_402, type, esk245_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
0.46/1.01	thf(decl_403, type, esk246_1: int > int).
0.46/1.01	thf(decl_404, type, esk247_1: int > int).
0.46/1.01	thf(decl_405, type, esk248_1: int > int).
0.46/1.01	thf(decl_406, type, esk249_1: int > int).
0.46/1.01	thf(decl_407, type, esk250_3: (int > $o) > (int > $o) > int > int).
0.46/1.01	thf(decl_408, type, esk251_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
0.46/1.01	thf(decl_409, type, esk252_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
0.46/1.01	thf(decl_410, type, esk253_3: (int > $o) > (int > $o) > int > int).
0.46/1.01	thf(decl_411, type, esk254_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
0.46/1.01	thf(decl_412, type, esk255_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
0.46/1.01	thf(decl_413, type, esk256_1: int > int).
0.46/1.01	thf(decl_414, type, esk257_1: int > int).
0.46/1.01	thf(decl_415, type, esk258_1: int > int).
0.46/1.01	thf(decl_416, type, esk259_1: int > int).
0.46/1.01	thf(decl_417, type, esk260_1: (poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > $o) > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_418, type, esk261_1: (poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > $o) > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_419, type, esk262_1: (poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > $o) > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_420, type, esk263_3: int > int > (int > $o) > int).
0.46/1.01	thf(decl_421, type, esk264_3: int > int > (int > $o) > int).
0.46/1.01	thf(decl_422, type, esk265_2: (nat > $o) > nat > nat).
0.46/1.01	thf(decl_423, type, esk266_1: (nat > $o) > nat).
0.46/1.01	thf(decl_424, type, esk267_2: (nat > $o) > nat > nat).
0.46/1.01	thf(decl_425, type, esk268_1: (nat > $o) > nat).
0.46/1.01	thf(decl_426, type, esk269_2: nat > nat > nat).
0.46/1.01	thf(decl_427, type, esk270_2: nat > nat > nat).
0.46/1.01	thf(decl_428, type, esk271_3: nat > nat > nat > nat).
0.46/1.01	thf(decl_429, type, esk272_3: nat > nat > nat > nat).
0.46/1.01	thf(decl_430, type, esk273_1: (nat > nat > $o) > nat).
0.46/1.01	thf(decl_431, type, esk274_1: (nat > nat > $o) > nat).
0.46/1.01	thf(decl_432, type, esk275_1: (nat > nat > $o) > nat).
0.46/1.01	thf(decl_433, type, esk276_3: nat > nat > nat > nat).
0.46/1.01	thf(decl_434, type, esk277_3: nat > nat > nat > nat).
0.46/1.01	thf(decl_435, type, esk278_1: (real > real > $o) > real).
0.46/1.01	thf(decl_436, type, esk279_1: (real > real > $o) > real).
0.46/1.01	thf(decl_437, type, esk280_1: (real > real > $o) > real).
0.46/1.01	thf(decl_438, type, esk281_2: poly_p2573953413498894561ring_a > poly_p2573953413498894561ring_a > nat).
0.46/1.01	thf(decl_439, type, esk282_2: poly_p2573953413498894561ring_a > poly_p2573953413498894561ring_a > nat).
0.46/1.01	thf(decl_440, type, esk283_2: (poly_p2573953413498894561ring_a > $o) > poly_p2573953413498894561ring_a > poly_p2573953413498894561ring_a).
0.46/1.01	thf(decl_441, type, esk284_2: (poly_p2573953413498894561ring_a > $o) > poly_p2573953413498894561ring_a > poly_p2573953413498894561ring_a).
0.46/1.01	thf(decl_442, type, esk285_3: (poly_p2573953413498894561ring_a > $o) > poly_p2573953413498894561ring_a > (poly_p2573953413498894561ring_a > $o) > poly_p2573953413498894561ring_a).
0.46/1.01	thf(decl_443, type, esk286_3: (poly_p2573953413498894561ring_a > $o) > poly_p2573953413498894561ring_a > (poly_p2573953413498894561ring_a > $o) > poly_p2573953413498894561ring_a).
0.46/1.01	thf(decl_444, type, esk287_2: (poly_p2573953413498894561ring_a > $o) > poly_p2573953413498894561ring_a > poly_p2573953413498894561ring_a).
0.46/1.01	thf(decl_445, type, esk288_2: (poly_p2573953413498894561ring_a > $o) > poly_p2573953413498894561ring_a > poly_p2573953413498894561ring_a).
0.46/1.01	thf(decl_446, type, esk289_3: (poly_p2573953413498894561ring_a > $o) > poly_p2573953413498894561ring_a > (poly_p2573953413498894561ring_a > $o) > poly_p2573953413498894561ring_a).
0.46/1.01	thf(decl_447, type, esk290_3: (poly_p2573953413498894561ring_a > $o) > poly_p2573953413498894561ring_a > (poly_p2573953413498894561ring_a > $o) > poly_p2573953413498894561ring_a).
0.46/1.01	thf(decl_448, type, esk291_1: real > real).
0.46/1.01	thf(decl_449, type, esk292_1: real > real).
0.46/1.01	thf(decl_450, type, esk293_3: (real > $o) > (real > $o) > real > real).
0.46/1.01	thf(decl_451, type, esk294_5: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real > real).
0.46/1.01	thf(decl_452, type, esk295_4: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real).
0.46/1.01	thf(decl_453, type, esk296_3: (real > $o) > (real > $o) > real > real).
0.46/1.01	thf(decl_454, type, esk297_5: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real > real).
0.46/1.01	thf(decl_455, type, esk298_4: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real).
0.46/1.01	thf(decl_456, type, esk299_1: real > real).
0.46/1.01	thf(decl_457, type, esk300_1: real > real).
0.46/1.01	thf(decl_458, type, esk301_1: real > real).
0.46/1.01	thf(decl_459, type, esk302_1: real > real).
0.46/1.01	thf(decl_460, type, esk303_3: (real > $o) > (real > $o) > real > real).
0.46/1.01	thf(decl_461, type, esk304_5: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real > real).
0.46/1.01	thf(decl_462, type, esk305_4: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real).
0.46/1.01	thf(decl_463, type, esk306_3: (real > $o) > (real > $o) > real > real).
0.46/1.01	thf(decl_464, type, esk307_5: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real > real).
0.46/1.01	thf(decl_465, type, esk308_4: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real).
0.46/1.01	thf(decl_466, type, esk309_1: real > real).
0.46/1.01	thf(decl_467, type, esk310_1: real > real).
0.46/1.01	thf(decl_468, type, esk311_1: real > real).
0.46/1.01	thf(decl_469, type, esk312_1: real > real).
0.46/1.01	thf(decl_470, type, esk313_3: int > int > (int > $o) > int).
0.46/1.01	thf(decl_471, type, esk314_3: int > int > (int > $o) > int).
0.46/1.01	thf(decl_472, type, esk315_3: int > int > (int > $o) > int).
0.46/1.01	thf(decl_473, type, esk316_3: int > int > (int > $o) > int).
0.46/1.01	thf(decl_474, type, esk317_3: int > int > (int > $o) > int).
0.46/1.01	thf(decl_475, type, esk318_3: int > int > (int > $o) > int).
0.46/1.01	thf(decl_476, type, esk319_3: int > int > (int > $o) > int).
0.46/1.01	thf(decl_477, type, esk320_3: int > int > (int > $o) > int).
0.46/1.01	thf(decl_478, type, esk321_0: nat > finite_mod_ring_a).
0.46/1.01	thf(decl_479, type, esk322_1: (nat > nat) > nat > finite_mod_ring_a).
0.46/1.01	thf(decl_480, type, esk323_2: finite_mod_ring_a > (nat > finite_mod_ring_a) > nat > finite_mod_ring_a).
0.46/1.01	thf(decl_481, type, esk324_2: finite_mod_ring_a > (nat > finite_mod_ring_a) > nat > finite_mod_ring_a).
0.46/1.01	thf(decl_482, type, esk325_2: nat > (nat > poly_F3299452240248304339ring_a) > nat > finite_mod_ring_a).
0.46/1.01	thf(decl_483, type, esk326_0: nat > finite_mod_ring_a).
0.46/1.01	thf(decl_484, type, esk327_2: set_nat > (nat > nat > finite_mod_ring_a) > nat > finite_mod_ring_a).
0.46/1.01	thf(decl_485, type, esk328_1: (nat > nat > finite_mod_ring_a) > nat > nat > finite_mod_ring_a).
0.46/1.01	thf(decl_486, type, esk329_2: (nat > finite_mod_ring_a) > (nat > finite_mod_ring_a) > nat > nat > finite_mod_ring_a).
0.46/1.01	thf(decl_487, type, esk330_2: finite_mod_ring_a > (nat > finite_mod_ring_a) > nat > finite_mod_ring_a).
0.46/1.01	thf(decl_488, type, esk331_2: (nat > finite_mod_ring_a) > finite_mod_ring_a > nat > finite_mod_ring_a).
0.46/1.01	thf(decl_489, type, esk332_2: (nat > finite_mod_ring_a) > (nat > finite_mod_ring_a) > nat > finite_mod_ring_a).
0.46/1.01	thf(decl_490, type, esk333_2: finite_mod_ring_a > (nat > finite_mod_ring_a) > nat > finite_mod_ring_a).
0.46/1.01	thf(decl_491, type, esk334_2: poly_F3299452240248304339ring_a > (nat > poly_F3299452240248304339ring_a) > nat > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_492, type, esk335_2: kyber_qr_a > (nat > kyber_qr_a) > nat > kyber_qr_a).
0.46/1.01	thf(decl_493, type, esk336_2: int > (nat > int) > nat > int).
0.46/1.01	thf(decl_494, type, esk337_2: real > (nat > real) > nat > real).
0.46/1.01	thf(decl_495, type, esk338_2: int > (nat > int) > nat > int).
0.46/1.01	thf(decl_496, type, esk339_1: (nat > nat) > nat > int).
0.46/1.01	thf(decl_497, type, esk340_2: (nat > int) > (nat > int) > nat > int).
0.46/1.01	thf(decl_498, type, esk341_3: nat > kyber_qr_a > kyber_qr_a > nat > finite_mod_ring_a).
0.46/1.01	thf(decl_499, type, esk342_1: (nat > nat) > nat > nat).
0.46/1.01	thf(decl_500, type, esk343_1: (nat > nat) > nat > real).
0.46/1.01	thf(decl_501, type, esk344_1: (nat > nat) > nat > kyber_qr_a).
0.46/1.01	thf(decl_502, type, esk345_1: (nat > nat) > nat > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_503, type, esk346_2: nat > (nat > nat) > nat > nat).
0.46/1.01	thf(decl_504, type, esk347_0: nat > nat).
0.46/1.01	thf(decl_505, type, esk348_2: set_nat > (nat > nat > nat) > nat > nat).
0.46/1.01	thf(decl_506, type, esk349_1: (nat > nat > nat) > nat > nat > nat).
0.46/1.01	thf(decl_507, type, esk350_2: (nat > nat) > (nat > nat) > nat > nat > nat).
0.46/1.01	thf(decl_508, type, esk351_2: nat > (nat > nat) > nat > nat).
0.46/1.01	thf(decl_509, type, esk352_2: (nat > nat) > nat > nat > nat).
0.46/1.01	thf(decl_510, type, esk353_2: poly_F3299452240248304339ring_a > (nat > poly_F3299452240248304339ring_a) > nat > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_511, type, esk354_0: nat > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_512, type, esk355_2: set_nat > (nat > nat > poly_F3299452240248304339ring_a) > nat > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_513, type, esk356_1: (nat > nat > poly_F3299452240248304339ring_a) > nat > nat > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_514, type, esk357_2: (nat > poly_F3299452240248304339ring_a) > (nat > poly_F3299452240248304339ring_a) > nat > nat > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_515, type, esk358_2: poly_F3299452240248304339ring_a > (nat > poly_F3299452240248304339ring_a) > nat > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_516, type, esk359_2: (nat > poly_F3299452240248304339ring_a) > poly_F3299452240248304339ring_a > nat > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_517, type, esk360_2: (nat > poly_F3299452240248304339ring_a) > (nat > poly_F3299452240248304339ring_a) > nat > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_518, type, esk361_0: nat > kyber_qr_a).
0.46/1.01	thf(decl_519, type, esk362_2: set_nat > (nat > nat > kyber_qr_a) > nat > kyber_qr_a).
0.46/1.01	thf(decl_520, type, esk363_1: (nat > nat > kyber_qr_a) > nat > nat > kyber_qr_a).
0.46/1.01	thf(decl_521, type, esk364_2: (nat > kyber_qr_a) > (nat > kyber_qr_a) > nat > nat > kyber_qr_a).
0.46/1.01	thf(decl_522, type, esk365_2: kyber_qr_a > (nat > kyber_qr_a) > nat > kyber_qr_a).
0.46/1.01	thf(decl_523, type, esk366_2: (nat > kyber_qr_a) > kyber_qr_a > nat > kyber_qr_a).
0.46/1.01	thf(decl_524, type, esk367_2: (nat > kyber_qr_a) > (nat > kyber_qr_a) > nat > kyber_qr_a).
0.46/1.01	thf(decl_525, type, esk368_0: nat > int).
0.46/1.01	thf(decl_526, type, esk369_2: set_nat > (nat > nat > int) > nat > int).
0.46/1.01	thf(decl_527, type, esk370_1: (nat > nat > int) > nat > nat > int).
0.46/1.01	thf(decl_528, type, esk371_2: (nat > int) > (nat > int) > nat > nat > int).
0.46/1.01	thf(decl_529, type, esk372_2: int > (nat > int) > nat > int).
0.46/1.01	thf(decl_530, type, esk373_2: (nat > int) > int > nat > int).
0.46/1.01	thf(decl_531, type, esk374_2: real > (nat > real) > nat > real).
0.46/1.01	thf(decl_532, type, esk375_0: nat > real).
0.46/1.01	thf(decl_533, type, esk376_2: set_nat > (nat > nat > real) > nat > real).
0.46/1.01	thf(decl_534, type, esk377_1: (nat > nat > real) > nat > nat > real).
0.46/1.01	thf(decl_535, type, esk378_2: (nat > real) > (nat > real) > nat > nat > real).
0.46/1.01	thf(decl_536, type, esk379_2: real > (nat > real) > nat > real).
0.46/1.01	thf(decl_537, type, esk380_2: (nat > real) > real > nat > real).
0.46/1.01	thf(decl_538, type, esk381_2: (nat > real) > (nat > real) > nat > real).
0.46/1.01	thf(decl_539, type, esk382_2: real > (nat > real) > nat > real).
0.46/1.01	thf(decl_540, type, esk383_2: nat > (nat > poly_p2573953413498894561ring_a) > nat > poly_F3299452240248304339ring_a).
0.46/1.01	thf(decl_541, type, esk384_2: poly_p2573953413498894561ring_a > (nat > poly_p2573953413498894561ring_a) > nat > poly_p2573953413498894561ring_a).
0.46/1.01	thf(conj_0, conjecture, ((groups3558780024651037881ring_a @ (^[X506:nat]:(times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (nTT_ky8185916800193505416sign_a @ (divide_divide_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ X506)) @ (semiri1314217659103216013at_int @ n))) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ f) @ X506)) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ g) @ (nat2 @ (modulo_modulo_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ X506)) @ (semiri1314217659103216013at_int @ n)))))) @ (set_ord_lessThan_nat @ n))=(groups3558780024651037881ring_a @ (^[X7:nat]:(times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (nTT_ky8185916800193505416sign_a @ (divide_divide_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ X7)) @ (semiri1314217659103216013at_int @ n))) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ f) @ X7)) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ g) @ (nat2 @ (modulo_modulo_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ X7)) @ (semiri1314217659103216013at_int @ n)))))) @ (set_ord_lessThan_nat @ n))), file('/export/starexec/sandbox2/tmp/tmp.HBy4DJzk46/Vampire---4.8_17621', conj_0)).
0.46/1.01	thf(c_0_1, negated_conjecture, ((groups3558780024651037881ring_a @ (^[Z0:nat]:(times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (nTT_ky8185916800193505416sign_a @ (divide_divide_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ Z0)) @ (semiri1314217659103216013at_int @ n))) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ f) @ Z0)) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ g) @ (nat2 @ (modulo_modulo_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ Z0)) @ (semiri1314217659103216013at_int @ n)))))) @ (set_ord_lessThan_nat @ n))!=(groups3558780024651037881ring_a @ (^[Z0:nat]:(times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (nTT_ky8185916800193505416sign_a @ (divide_divide_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ Z0)) @ (semiri1314217659103216013at_int @ n))) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ f) @ Z0)) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ g) @ (nat2 @ (modulo_modulo_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ Z0)) @ (semiri1314217659103216013at_int @ n)))))) @ (set_ord_lessThan_nat @ n))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])])).
0.46/1.01	thf(c_0_2, plain, ![X8785:nat]:(((esk321_0 @ X8785)=(times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (nTT_ky8185916800193505416sign_a @ (divide_divide_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ X8785)) @ (semiri1314217659103216013at_int @ n))) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ f) @ X8785)) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ g) @ (nat2 @ (modulo_modulo_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ X8785)) @ (semiri1314217659103216013at_int @ n))))))), introduced(definition)).
0.46/1.01	thf(c_0_3, negated_conjecture, ((groups3558780024651037881ring_a @ esk321_0 @ (set_ord_lessThan_nat @ n))!=(groups3558780024651037881ring_a @ esk321_0 @ (set_ord_lessThan_nat @ n))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_1]), c_0_2]), c_0_2])).
0.46/1.01	thf(c_0_4, negated_conjecture, ($false), inference(cn,[status(thm)],[c_0_3]), ['proof']).
0.46/1.01	# SZS output end CNFRefutation
0.46/1.01	# Parsed axioms                        : 1428
0.46/1.01	# Removed by relevancy pruning/SinE    : 288
0.46/1.01	# Initial clauses                      : 2900
0.46/1.01	# Removed in clause preprocessing      : 95
0.46/1.01	# Initial clauses in saturation        : 2805
0.46/1.01	# Processed clauses                    : 1
0.46/1.01	# ...of these trivial                  : 0
0.46/1.01	# ...subsumed                          : 0
0.46/1.01	# ...remaining for further processing  : 0
0.46/1.01	# Other redundant clauses eliminated   : 0
0.46/1.01	# Clauses deleted for lack of memory   : 0
0.46/1.01	# Backward-subsumed                    : 0
0.46/1.01	# Backward-rewritten                   : 0
0.46/1.01	# Generated clauses                    : 0
0.46/1.01	# ...of the previous two non-redundant : 0
0.46/1.01	# ...aggressively subsumed             : 0
0.46/1.01	# Contextual simplify-reflections      : 0
0.46/1.01	# Paramodulations                      : 0
0.46/1.01	# Factorizations                       : 0
0.46/1.01	# NegExts                              : 0
0.46/1.01	# Equation resolutions                 : 0
0.46/1.01	# Propositional unsat checks           : 0
0.46/1.01	#    Propositional check models        : 0
0.46/1.01	#    Propositional check unsatisfiable : 0
0.46/1.01	#    Propositional clauses             : 0
0.46/1.01	#    Propositional clauses after purity: 0
0.46/1.01	#    Propositional unsat core size     : 0
0.46/1.01	#    Propositional preprocessing time  : 0.000
0.46/1.01	#    Propositional encoding time       : 0.000
0.46/1.01	#    Propositional solver time         : 0.000
0.46/1.01	#    Success case prop preproc time    : 0.000
0.46/1.01	#    Success case prop encoding time   : 0.000
0.46/1.01	#    Success case prop solver time     : 0.000
0.46/1.01	# Current number of processed clauses  : 0
0.46/1.01	#    Positive orientable unit clauses  : 0
0.46/1.01	#    Positive unorientable unit clauses: 0
0.46/1.01	#    Negative unit clauses             : 0
0.46/1.01	#    Non-unit-clauses                  : 0
0.46/1.01	# Current number of unprocessed clauses: 2804
0.46/1.01	# ...number of literals in the above   : 10867
0.46/1.01	# Current number of archived formulas  : 0
0.46/1.01	# Current number of archived clauses   : 0
0.46/1.01	# Clause-clause subsumption calls (NU) : 0
0.46/1.01	# Rec. Clause-clause subsumption calls : 0
0.46/1.01	# Non-unit clause-clause subsumptions  : 0
0.46/1.01	# Unit Clause-clause subsumption calls : 0
0.46/1.01	# Rewrite failures with RHS unbound    : 0
0.46/1.01	# BW rewrite match attempts            : 0
0.46/1.01	# BW rewrite match successes           : 0
0.46/1.01	# Condensation attempts                : 0
0.46/1.01	# Condensation successes               : 0
0.46/1.01	# Termbank termtop insertions          : 184164
0.46/1.01	
0.46/1.01	# -------------------------------------------------
0.46/1.01	# User time                : 0.305 s
0.46/1.01	# System time              : 0.021 s
0.46/1.01	# Total time               : 0.327 s
0.46/1.01	# Maximum resident set size: 13844 pages
0.46/1.01	
0.46/1.01	# -------------------------------------------------
0.46/1.01	# User time                : 0.363 s
0.46/1.01	# System time              : 0.026 s
0.46/1.01	# Total time               : 0.389 s
0.46/1.01	# Maximum resident set size: 4688 pages
0.46/1.01	EOF