0.11/0.26	% Problem    : SLH0295^1 : TPTP v8.2.0. Released v8.2.0.
0.11/0.27	% Command    : run_E %s %d THM
0.26/0.48	% Computer : n019.cluster.edu
0.26/0.48	% Model    : x86_64 x86_64
0.26/0.48	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.26/0.48	% Memory   : 8042.1875MB
0.26/0.48	% OS       : Linux 3.10.0-693.el7.x86_64
0.26/0.48	% CPULimit   : 30
0.26/0.48	% WCLimit    : 30
0.26/0.48	% DateTime   : Mon Jul  3 08:16:05 EDT 2023
0.26/0.48	% CPUTime    : 
0.45/0.60	The problem SPC is TH0_THM_EQU_NAR
0.45/0.60	Running higher-order on 1 cores theorem proving
0.45/0.60	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.ppgAE2dA42/Vampire---4.8_20697
0.45/0.61	# Version: 3.0pre003-ho
1.28/1.49	# partial match(1): HSLSSMSMSSSNHFA
1.28/1.49	# Preprocessing class: HMLSSMSMSSSNHFA.
1.28/1.49	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.28/1.49	# Starting new_ho_10 with 30s (1) cores
1.28/1.49	# new_ho_10 with pid 21108 completed with status 0
1.28/1.49	# Result found by new_ho_10
1.28/1.49	# partial match(1): HSLSSMSMSSSNHFA
1.28/1.49	# Preprocessing class: HMLSSMSMSSSNHFA.
1.28/1.49	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.28/1.49	# Starting new_ho_10 with 30s (1) cores
1.28/1.49	# No SInE strategy applied
1.28/1.49	# Search class: HGHSM-SMLM32-MHFFFSBC
1.28/1.49	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
1.28/1.49	# Starting ehoh_best8 with 17s (1) cores
1.28/1.49	# ehoh_best8 with pid 21112 completed with status 0
1.28/1.49	# Result found by ehoh_best8
1.28/1.49	# partial match(1): HSLSSMSMSSSNHFA
1.28/1.49	# Preprocessing class: HMLSSMSMSSSNHFA.
1.28/1.49	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.28/1.49	# Starting new_ho_10 with 30s (1) cores
1.28/1.49	# No SInE strategy applied
1.28/1.49	# Search class: HGHSM-SMLM32-MHFFFSBC
1.28/1.49	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
1.28/1.49	# Starting ehoh_best8 with 17s (1) cores
1.28/1.49	# Preprocessing time       : 0.099 s
1.28/1.49	# Presaturation interreduction done
1.28/1.49	
1.28/1.49	# Proof found!
1.28/1.49	# SZS status ContradictoryAxioms
1.28/1.49	# SZS output start CNFRefutation
1.28/1.49	thf(decl_22, type, finite8272632373135393572ring_a: int > finite_mod_ring_a).
1.28/1.49	thf(decl_23, type, minus_3609261664126569004ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
1.28/1.49	thf(decl_24, type, minus_minus_int: int > int > int).
1.28/1.49	thf(decl_25, type, minus_3375643675566563378r_qr_a: kyber_qr_a > kyber_qr_a > kyber_qr_a).
1.28/1.49	thf(decl_26, type, minus_minus_nat: nat > nat > nat).
1.28/1.49	thf(decl_27, type, minus_minus_real: real > real > real).
1.28/1.49	thf(decl_28, type, one_on2109788427901206336ring_a: finite_mod_ring_a).
1.28/1.49	thf(decl_29, type, one_one_int: int).
1.28/1.49	thf(decl_30, type, one_one_Kyber_qr_a: kyber_qr_a).
1.28/1.49	thf(decl_31, type, one_one_nat: nat).
1.28/1.49	thf(decl_32, type, one_one_real: real).
1.28/1.49	thf(decl_33, type, times_5121417576591743744ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
1.28/1.49	thf(decl_34, type, times_times_int: int > int > int).
1.28/1.49	thf(decl_35, type, times_2095635435063429214r_qr_a: kyber_qr_a > kyber_qr_a > kyber_qr_a).
1.28/1.49	thf(decl_36, type, times_times_nat: nat > nat > nat).
1.28/1.49	thf(decl_37, type, times_times_real: real > real > real).
1.28/1.49	thf(decl_38, type, uminus3100561713750211260ring_a: finite_mod_ring_a > finite_mod_ring_a).
1.28/1.49	thf(decl_39, type, uminus_uminus_int: int > int).
1.28/1.49	thf(decl_40, type, uminus_uminus_real: real > real).
1.28/1.49	thf(decl_41, type, zero_z7902377541816115708ring_a: finite_mod_ring_a).
1.28/1.49	thf(decl_42, type, zero_zero_int: int).
1.28/1.49	thf(decl_43, type, zero_zero_Kyber_qr_a: kyber_qr_a).
1.28/1.49	thf(decl_44, type, zero_zero_nat: nat).
1.28/1.49	thf(decl_45, type, zero_zero_real: real).
1.28/1.49	thf(decl_46, type, if_Finite_mod_ring_a: $o > finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
1.28/1.49	thf(decl_47, type, if_int: $o > int > int > int).
1.28/1.49	thf(decl_48, type, if_nat: $o > nat > nat > nat).
1.28/1.49	thf(decl_49, type, if_real: $o > real > real > real).
1.28/1.49	thf(decl_50, type, nat2: int > nat).
1.28/1.49	thf(decl_51, type, nTT_ky8185916800193505416sign_a: int > finite_mod_ring_a).
1.28/1.49	thf(decl_52, type, nTT_ky6043299476614432208poly_a: nat > finite_mod_ring_a > finite_mod_ring_a > kyber_qr_a > kyber_qr_a).
1.28/1.49	thf(decl_53, type, nTT_ky7844408764402957685conv_a: nat > kyber_qr_a > kyber_qr_a > kyber_qr_a).
1.28/1.49	thf(decl_54, type, nTT_ky9125537182568181474poly_a: nat > finite_mod_ring_a > kyber_qr_a > nat > finite_mod_ring_a).
1.28/1.49	thf(decl_55, type, nTT_kyber_ntt_poly_a: nat > finite_mod_ring_a > kyber_qr_a > kyber_qr_a).
1.28/1.49	thf(decl_56, type, nTT_ky8916091867655869166effs_a: nat > kyber_qr_a > kyber_qr_a > kyber_qr_a).
1.28/1.49	thf(decl_57, type, suc: nat > nat).
1.28/1.49	thf(decl_58, type, semiri9180929696517417892ring_a: nat > finite_mod_ring_a).
1.28/1.49	thf(decl_59, type, semiri1314217659103216013at_int: nat > int).
1.28/1.49	thf(decl_60, type, semiri7313030098341262522r_qr_a: nat > kyber_qr_a).
1.28/1.49	thf(decl_61, type, semiri1316708129612266289at_nat: nat > nat).
1.28/1.49	thf(decl_62, type, semiri5074537144036343181t_real: nat > real).
1.28/1.49	thf(decl_63, type, ord_less_int: int > int > $o).
1.28/1.49	thf(decl_64, type, ord_less_nat: nat > nat > $o).
1.28/1.49	thf(decl_65, type, ord_less_real: real > real > $o).
1.28/1.49	thf(decl_66, type, ord_less_eq_int: int > int > $o).
1.28/1.49	thf(decl_67, type, ord_less_eq_nat: nat > nat > $o).
1.28/1.49	thf(decl_68, type, ord_less_eq_real: real > real > $o).
1.28/1.49	thf(decl_69, type, power_6826135765519566523ring_a: finite_mod_ring_a > nat > finite_mod_ring_a).
1.28/1.49	thf(decl_70, type, power_power_int: int > nat > int).
1.28/1.49	thf(decl_71, type, power_power_nat: nat > nat > nat).
1.28/1.49	thf(decl_72, type, power_power_real: real > nat > real).
1.28/1.49	thf(decl_73, type, preliminary_mu_a: nat > finite_mod_ring_a).
1.28/1.49	thf(decl_74, type, preliminary_omega_a: nat > finite_mod_ring_a).
1.28/1.49	thf(decl_75, type, divide_divide_int: int > int > int).
1.28/1.49	thf(decl_76, type, divide_divide_nat: nat > nat > nat).
1.28/1.49	thf(decl_77, type, divide_divide_real: real > real > real).
1.28/1.49	thf(decl_78, type, collect_int: (int > $o) > set_int).
1.28/1.49	thf(decl_79, type, set_or4662586982721622107an_int: int > int > set_int).
1.28/1.49	thf(decl_80, type, member_int: int > set_int > $o).
1.28/1.49	thf(decl_81, type, mu: finite_mod_ring_a).
1.28/1.49	thf(decl_82, type, omega: finite_mod_ring_a).
1.28/1.49	thf(decl_83, type, psi: finite_mod_ring_a).
1.28/1.49	thf(decl_84, type, psi_inv: finite_mod_ring_a).
1.28/1.49	thf(decl_85, type, i: nat).
1.28/1.49	thf(decl_86, type, j: nat).
1.28/1.49	thf(decl_87, type, mult_factor: int).
1.28/1.49	thf(decl_88, type, n: nat).
1.28/1.49	thf(decl_89, type, n2: nat).
1.28/1.49	thf(decl_90, type, ninv: finite_mod_ring_a).
1.28/1.49	thf(decl_91, type, esk1_1: (nat > $o) > nat).
1.28/1.49	thf(decl_92, type, esk2_1: (nat > $o) > nat).
1.28/1.49	thf(decl_93, type, esk3_2: (nat > $o) > nat > nat).
1.28/1.49	thf(decl_94, type, esk4_1: (nat > $o) > nat).
1.28/1.49	thf(decl_95, type, esk5_1: (nat > $o) > nat).
1.28/1.49	thf(decl_96, type, esk6_1: (nat > nat) > nat).
1.28/1.49	thf(decl_97, type, esk7_1: (nat > nat) > nat).
1.28/1.49	thf(decl_98, type, esk8_2: (nat > $o) > nat > nat).
1.28/1.49	thf(decl_99, type, esk9_2: nat > (nat > nat > $o) > nat).
1.28/1.49	thf(decl_100, type, esk10_2: nat > (nat > nat > $o) > nat).
1.28/1.49	thf(decl_101, type, esk11_3: nat > (nat > nat > $o) > nat > nat).
1.28/1.49	thf(decl_102, type, esk12_2: nat > (nat > $o) > nat).
1.28/1.49	thf(decl_103, type, esk13_2: nat > (nat > $o) > nat).
1.28/1.49	thf(decl_104, type, esk14_4: nat > nat > (nat > nat) > nat > nat).
1.28/1.49	thf(decl_105, type, esk15_4: nat > nat > (nat > nat) > nat > nat).
1.28/1.49	thf(decl_106, type, esk16_4: int > int > (int > nat) > nat > int).
1.28/1.49	thf(decl_107, type, esk17_4: int > int > (int > nat) > nat > int).
1.28/1.49	thf(decl_108, type, esk18_4: real > real > (real > nat) > nat > real).
1.28/1.49	thf(decl_109, type, esk19_4: real > real > (real > nat) > nat > real).
1.28/1.49	thf(decl_110, type, esk20_4: nat > nat > (nat > int) > int > nat).
1.28/1.49	thf(decl_111, type, esk21_4: nat > nat > (nat > int) > int > nat).
1.28/1.49	thf(decl_112, type, esk22_4: int > int > (int > int) > int > int).
1.28/1.49	thf(decl_113, type, esk23_4: int > int > (int > int) > int > int).
1.28/1.49	thf(decl_114, type, esk24_4: real > real > (real > int) > int > real).
1.28/1.49	thf(decl_115, type, esk25_4: real > real > (real > int) > int > real).
1.28/1.49	thf(decl_116, type, esk26_4: nat > nat > (nat > real) > real > nat).
1.28/1.49	thf(decl_117, type, esk27_4: nat > nat > (nat > real) > real > nat).
1.28/1.49	thf(decl_118, type, esk28_4: int > int > (int > real) > real > int).
1.28/1.49	thf(decl_119, type, esk29_4: int > int > (int > real) > real > int).
1.28/1.49	thf(decl_120, type, esk30_4: real > real > (real > real) > real > real).
1.28/1.49	thf(decl_121, type, esk31_4: real > real > (real > real) > real > real).
1.28/1.49	thf(decl_122, type, esk32_4: nat > (nat > nat) > nat > nat > nat).
1.28/1.49	thf(decl_123, type, esk33_4: nat > (nat > nat) > nat > nat > nat).
1.28/1.49	thf(decl_124, type, esk34_4: int > (nat > int) > nat > nat > nat).
1.28/1.49	thf(decl_125, type, esk35_4: int > (nat > int) > nat > nat > nat).
1.28/1.49	thf(decl_126, type, esk36_4: real > (nat > real) > nat > nat > nat).
1.28/1.49	thf(decl_127, type, esk37_4: real > (nat > real) > nat > nat > nat).
1.28/1.49	thf(decl_128, type, esk38_4: nat > (int > nat) > int > int > int).
1.28/1.49	thf(decl_129, type, esk39_4: nat > (int > nat) > int > int > int).
1.28/1.49	thf(decl_130, type, esk40_4: int > (int > int) > int > int > int).
1.28/1.49	thf(decl_131, type, esk41_4: int > (int > int) > int > int > int).
1.28/1.49	thf(decl_132, type, esk42_4: real > (int > real) > int > int > int).
1.28/1.49	thf(decl_133, type, esk43_4: real > (int > real) > int > int > int).
1.28/1.49	thf(decl_134, type, esk44_4: nat > (real > nat) > real > real > real).
1.28/1.49	thf(decl_135, type, esk45_4: nat > (real > nat) > real > real > real).
1.28/1.49	thf(decl_136, type, esk46_4: int > (real > int) > real > real > real).
1.28/1.49	thf(decl_137, type, esk47_4: int > (real > int) > real > real > real).
1.28/1.49	thf(decl_138, type, esk48_4: real > (real > real) > real > real > real).
1.28/1.49	thf(decl_139, type, esk49_4: real > (real > real) > real > real > real).
1.28/1.49	thf(decl_140, type, esk50_4: nat > nat > (nat > nat) > nat > nat).
1.28/1.49	thf(decl_141, type, esk51_4: nat > nat > (nat > nat) > nat > nat).
1.28/1.49	thf(decl_142, type, esk52_4: nat > nat > (nat > int) > int > nat).
1.28/1.49	thf(decl_143, type, esk53_4: nat > nat > (nat > int) > int > nat).
1.28/1.49	thf(decl_144, type, esk54_4: nat > nat > (nat > real) > real > nat).
1.28/1.49	thf(decl_145, type, esk55_4: nat > nat > (nat > real) > real > nat).
1.28/1.49	thf(decl_146, type, esk56_4: int > int > (int > nat) > nat > int).
1.28/1.49	thf(decl_147, type, esk57_4: int > int > (int > nat) > nat > int).
1.28/1.49	thf(decl_148, type, esk58_4: int > int > (int > int) > int > int).
1.28/1.49	thf(decl_149, type, esk59_4: int > int > (int > int) > int > int).
1.28/1.49	thf(decl_150, type, esk60_4: int > int > (int > real) > real > int).
1.28/1.49	thf(decl_151, type, esk61_4: int > int > (int > real) > real > int).
1.28/1.49	thf(decl_152, type, esk62_4: real > real > (real > nat) > nat > real).
1.28/1.49	thf(decl_153, type, esk63_4: real > real > (real > nat) > nat > real).
1.28/1.49	thf(decl_154, type, esk64_4: real > real > (real > int) > int > real).
1.28/1.49	thf(decl_155, type, esk65_4: real > real > (real > int) > int > real).
1.28/1.49	thf(decl_156, type, esk66_4: real > real > (real > real) > real > real).
1.28/1.49	thf(decl_157, type, esk67_4: real > real > (real > real) > real > real).
1.28/1.49	thf(decl_158, type, esk68_1: (nat > nat > $o) > nat).
1.28/1.49	thf(decl_159, type, esk69_1: (nat > nat > $o) > nat).
1.28/1.49	thf(decl_160, type, esk70_1: (nat > nat > $o) > nat).
1.28/1.49	thf(decl_161, type, esk71_1: (nat > nat > $o) > nat).
1.28/1.49	thf(decl_162, type, esk72_1: (int > int > $o) > int).
1.28/1.49	thf(decl_163, type, esk73_1: (int > int > $o) > int).
1.28/1.49	thf(decl_164, type, esk74_1: (int > int > $o) > int).
1.28/1.49	thf(decl_165, type, esk75_1: (int > int > $o) > int).
1.28/1.49	thf(decl_166, type, esk76_1: (real > real > $o) > real).
1.28/1.49	thf(decl_167, type, esk77_1: (real > real > $o) > real).
1.28/1.49	thf(decl_168, type, esk78_1: (real > real > $o) > real).
1.28/1.49	thf(decl_169, type, esk79_1: (real > real > $o) > real).
1.28/1.49	thf(decl_170, type, esk80_4: nat > (nat > nat) > nat > nat > nat).
1.28/1.49	thf(decl_171, type, esk81_4: nat > (nat > nat) > nat > nat > nat).
1.28/1.49	thf(decl_172, type, esk82_4: nat > (int > nat) > int > int > int).
1.28/1.49	thf(decl_173, type, esk83_4: nat > (int > nat) > int > int > int).
1.28/1.49	thf(decl_174, type, esk84_4: nat > (real > nat) > real > real > real).
1.28/1.49	thf(decl_175, type, esk85_4: nat > (real > nat) > real > real > real).
1.28/1.49	thf(decl_176, type, esk86_4: int > (nat > int) > nat > nat > nat).
1.28/1.49	thf(decl_177, type, esk87_4: int > (nat > int) > nat > nat > nat).
1.28/1.49	thf(decl_178, type, esk88_4: int > (int > int) > int > int > int).
1.28/1.49	thf(decl_179, type, esk89_4: int > (int > int) > int > int > int).
1.28/1.49	thf(decl_180, type, esk90_4: int > (real > int) > real > real > real).
1.28/1.49	thf(decl_181, type, esk91_4: int > (real > int) > real > real > real).
1.28/1.49	thf(decl_182, type, esk92_4: real > (nat > real) > nat > nat > nat).
1.28/1.49	thf(decl_183, type, esk93_4: real > (nat > real) > nat > nat > nat).
1.28/1.49	thf(decl_184, type, esk94_4: real > (int > real) > int > int > int).
1.28/1.49	thf(decl_185, type, esk95_4: real > (int > real) > int > int > int).
1.28/1.49	thf(decl_186, type, esk96_4: real > (real > real) > real > real > real).
1.28/1.49	thf(decl_187, type, esk97_4: real > (real > real) > real > real > real).
1.28/1.49	thf(decl_188, type, esk98_4: nat > nat > (nat > nat) > nat > nat).
1.28/1.49	thf(decl_189, type, esk99_4: nat > nat > (nat > nat) > nat > nat).
1.28/1.49	thf(decl_190, type, esk100_4: nat > nat > (nat > int) > int > nat).
1.28/1.49	thf(decl_191, type, esk101_4: nat > nat > (nat > int) > int > nat).
1.28/1.49	thf(decl_192, type, esk102_4: nat > nat > (nat > real) > real > nat).
1.28/1.49	thf(decl_193, type, esk103_4: nat > nat > (nat > real) > real > nat).
1.28/1.49	thf(decl_194, type, esk104_4: int > int > (int > nat) > nat > int).
1.28/1.49	thf(decl_195, type, esk105_4: int > int > (int > nat) > nat > int).
1.28/1.49	thf(decl_196, type, esk106_4: int > int > (int > int) > int > int).
1.28/1.49	thf(decl_197, type, esk107_4: int > int > (int > int) > int > int).
1.28/1.49	thf(decl_198, type, esk108_4: int > int > (int > real) > real > int).
1.28/1.49	thf(decl_199, type, esk109_4: int > int > (int > real) > real > int).
1.28/1.49	thf(decl_200, type, esk110_4: real > real > (real > nat) > nat > real).
1.28/1.49	thf(decl_201, type, esk111_4: real > real > (real > nat) > nat > real).
1.28/1.49	thf(decl_202, type, esk112_4: real > real > (real > int) > int > real).
1.28/1.49	thf(decl_203, type, esk113_4: real > real > (real > int) > int > real).
1.28/1.49	thf(decl_204, type, esk114_4: real > real > (real > real) > real > real).
1.28/1.49	thf(decl_205, type, esk115_4: real > real > (real > real) > real > real).
1.28/1.49	thf(decl_206, type, esk116_4: nat > (nat > nat) > nat > nat > nat).
1.28/1.49	thf(decl_207, type, esk117_4: nat > (nat > nat) > nat > nat > nat).
1.28/1.49	thf(decl_208, type, esk118_4: int > (nat > int) > nat > nat > nat).
1.28/1.49	thf(decl_209, type, esk119_4: int > (nat > int) > nat > nat > nat).
1.28/1.49	thf(decl_210, type, esk120_4: real > (nat > real) > nat > nat > nat).
1.28/1.49	thf(decl_211, type, esk121_4: real > (nat > real) > nat > nat > nat).
1.28/1.49	thf(decl_212, type, esk122_4: nat > (int > nat) > int > int > int).
1.28/1.49	thf(decl_213, type, esk123_4: nat > (int > nat) > int > int > int).
1.28/1.49	thf(decl_214, type, esk124_4: int > (int > int) > int > int > int).
1.28/1.49	thf(decl_215, type, esk125_4: int > (int > int) > int > int > int).
1.28/1.49	thf(decl_216, type, esk126_4: real > (int > real) > int > int > int).
1.28/1.49	thf(decl_217, type, esk127_4: real > (int > real) > int > int > int).
1.28/1.49	thf(decl_218, type, esk128_4: nat > (real > nat) > real > real > real).
1.28/1.49	thf(decl_219, type, esk129_4: nat > (real > nat) > real > real > real).
1.28/1.49	thf(decl_220, type, esk130_4: int > (real > int) > real > real > real).
1.28/1.49	thf(decl_221, type, esk131_4: int > (real > int) > real > real > real).
1.28/1.49	thf(decl_222, type, esk132_4: real > (real > real) > real > real > real).
1.28/1.49	thf(decl_223, type, esk133_4: real > (real > real) > real > real > real).
1.28/1.49	thf(decl_224, type, esk134_4: nat > nat > (nat > nat) > nat > nat).
1.28/1.49	thf(decl_225, type, esk135_4: nat > nat > (nat > nat) > nat > nat).
1.28/1.49	thf(decl_226, type, esk136_4: nat > nat > (nat > int) > int > nat).
1.28/1.49	thf(decl_227, type, esk137_4: nat > nat > (nat > int) > int > nat).
1.28/1.49	thf(decl_228, type, esk138_4: nat > nat > (nat > real) > real > nat).
1.28/1.49	thf(decl_229, type, esk139_4: nat > nat > (nat > real) > real > nat).
1.28/1.49	thf(decl_230, type, esk140_4: int > int > (int > nat) > nat > int).
1.28/1.49	thf(decl_231, type, esk141_4: int > int > (int > nat) > nat > int).
1.28/1.49	thf(decl_232, type, esk142_4: int > int > (int > int) > int > int).
1.28/1.49	thf(decl_233, type, esk143_4: int > int > (int > int) > int > int).
1.28/1.49	thf(decl_234, type, esk144_4: int > int > (int > real) > real > int).
1.28/1.49	thf(decl_235, type, esk145_4: int > int > (int > real) > real > int).
1.28/1.49	thf(decl_236, type, esk146_4: real > real > (real > nat) > nat > real).
1.28/1.49	thf(decl_237, type, esk147_4: real > real > (real > nat) > nat > real).
1.28/1.49	thf(decl_238, type, esk148_4: real > real > (real > int) > int > real).
1.28/1.49	thf(decl_239, type, esk149_4: real > real > (real > int) > int > real).
1.28/1.49	thf(decl_240, type, esk150_4: real > real > (real > real) > real > real).
1.28/1.49	thf(decl_241, type, esk151_4: real > real > (real > real) > real > real).
1.28/1.49	thf(decl_242, type, esk152_1: int > int).
1.28/1.49	thf(decl_243, type, esk153_1: real > real).
1.28/1.49	thf(decl_244, type, esk154_1: nat > nat).
1.28/1.49	thf(decl_245, type, esk155_1: int > int).
1.28/1.49	thf(decl_246, type, esk156_1: real > real).
1.28/1.49	thf(decl_247, type, esk157_2: real > real > real).
1.28/1.49	thf(decl_248, type, esk158_1: (nat > $o) > nat).
1.28/1.49	thf(decl_249, type, esk159_1: (nat > $o) > nat).
1.28/1.49	thf(decl_250, type, esk160_2: (nat > $o) > nat > nat).
1.28/1.49	thf(decl_251, type, esk161_1: (nat > $o) > nat).
1.28/1.49	thf(decl_252, type, esk162_1: (nat > nat > $o) > nat).
1.28/1.49	thf(decl_253, type, esk163_1: (nat > nat > $o) > nat).
1.28/1.49	thf(decl_254, type, esk164_1: (nat > nat > $o) > nat).
1.28/1.49	thf(decl_255, type, esk165_1: (nat > nat > $o) > nat).
1.28/1.49	thf(decl_256, type, esk166_1: (nat > nat > $o) > nat).
1.28/1.49	thf(decl_257, type, esk167_1: (int > int > $o) > int).
1.28/1.49	thf(decl_258, type, esk168_1: (int > int > $o) > int).
1.28/1.49	thf(decl_259, type, esk169_1: (int > int > $o) > int).
1.28/1.49	thf(decl_260, type, esk170_1: (int > int > $o) > int).
1.28/1.49	thf(decl_261, type, esk171_1: (int > int > $o) > int).
1.28/1.49	thf(decl_262, type, esk172_1: (real > real > $o) > real).
1.28/1.49	thf(decl_263, type, esk173_1: (real > real > $o) > real).
1.28/1.49	thf(decl_264, type, esk174_1: (real > real > $o) > real).
1.28/1.49	thf(decl_265, type, esk175_1: (real > real > $o) > real).
1.28/1.49	thf(decl_266, type, esk176_1: (real > real > $o) > real).
1.28/1.49	thf(decl_267, type, esk177_4: nat > (nat > nat) > nat > nat > nat).
1.28/1.49	thf(decl_268, type, esk178_4: nat > (nat > nat) > nat > nat > nat).
1.28/1.49	thf(decl_269, type, esk179_4: int > (nat > int) > nat > nat > nat).
1.28/1.49	thf(decl_270, type, esk180_4: int > (nat > int) > nat > nat > nat).
1.28/1.49	thf(decl_271, type, esk181_4: real > (nat > real) > nat > nat > nat).
1.28/1.49	thf(decl_272, type, esk182_4: real > (nat > real) > nat > nat > nat).
1.28/1.49	thf(decl_273, type, esk183_4: nat > (int > nat) > int > int > int).
1.28/1.49	thf(decl_274, type, esk184_4: nat > (int > nat) > int > int > int).
1.28/1.49	thf(decl_275, type, esk185_4: int > (int > int) > int > int > int).
1.28/1.49	thf(decl_276, type, esk186_4: int > (int > int) > int > int > int).
1.28/1.49	thf(decl_277, type, esk187_4: real > (int > real) > int > int > int).
1.28/1.49	thf(decl_278, type, esk188_4: real > (int > real) > int > int > int).
1.28/1.49	thf(decl_279, type, esk189_4: nat > (real > nat) > real > real > real).
1.28/1.49	thf(decl_280, type, esk190_4: nat > (real > nat) > real > real > real).
1.28/1.49	thf(decl_281, type, esk191_4: int > (real > int) > real > real > real).
1.28/1.49	thf(decl_282, type, esk192_4: int > (real > int) > real > real > real).
1.28/1.49	thf(decl_283, type, esk193_4: real > (real > real) > real > real > real).
1.28/1.49	thf(decl_284, type, esk194_4: real > (real > real) > real > real > real).
1.28/1.49	thf(decl_285, type, esk195_4: nat > nat > (nat > nat) > nat > nat).
1.28/1.49	thf(decl_286, type, esk196_4: nat > nat > (nat > nat) > nat > nat).
1.28/1.49	thf(decl_287, type, esk197_4: nat > nat > (nat > int) > int > nat).
1.28/1.49	thf(decl_288, type, esk198_4: nat > nat > (nat > int) > int > nat).
1.28/1.49	thf(decl_289, type, esk199_4: nat > nat > (nat > real) > real > nat).
1.28/1.49	thf(decl_290, type, esk200_4: nat > nat > (nat > real) > real > nat).
1.28/1.49	thf(decl_291, type, esk201_4: int > int > (int > nat) > nat > int).
1.28/1.49	thf(decl_292, type, esk202_4: int > int > (int > nat) > nat > int).
1.28/1.49	thf(decl_293, type, esk203_4: int > int > (int > int) > int > int).
1.28/1.49	thf(decl_294, type, esk204_4: int > int > (int > int) > int > int).
1.28/1.49	thf(decl_295, type, esk205_4: int > int > (int > real) > real > int).
1.28/1.49	thf(decl_296, type, esk206_4: int > int > (int > real) > real > int).
1.28/1.49	thf(decl_297, type, esk207_4: real > real > (real > nat) > nat > real).
1.28/1.49	thf(decl_298, type, esk208_4: real > real > (real > nat) > nat > real).
1.28/1.49	thf(decl_299, type, esk209_4: real > real > (real > int) > int > real).
1.28/1.49	thf(decl_300, type, esk210_4: real > real > (real > int) > int > real).
1.28/1.49	thf(decl_301, type, esk211_4: real > real > (real > real) > real > real).
1.28/1.49	thf(decl_302, type, esk212_4: real > real > (real > real) > real > real).
1.28/1.49	thf(decl_303, type, esk213_4: nat > (nat > nat) > nat > nat > nat).
1.28/1.49	thf(decl_304, type, esk214_4: nat > (nat > nat) > nat > nat > nat).
1.28/1.49	thf(decl_305, type, esk215_4: nat > (int > nat) > int > int > int).
1.28/1.49	thf(decl_306, type, esk216_4: nat > (int > nat) > int > int > int).
1.28/1.49	thf(decl_307, type, esk217_4: nat > (real > nat) > real > real > real).
1.28/1.49	thf(decl_308, type, esk218_4: nat > (real > nat) > real > real > real).
1.28/1.49	thf(decl_309, type, esk219_4: int > (nat > int) > nat > nat > nat).
1.28/1.49	thf(decl_310, type, esk220_4: int > (nat > int) > nat > nat > nat).
1.28/1.49	thf(decl_311, type, esk221_4: int > (int > int) > int > int > int).
1.28/1.49	thf(decl_312, type, esk222_4: int > (int > int) > int > int > int).
1.28/1.49	thf(decl_313, type, esk223_4: int > (real > int) > real > real > real).
1.28/1.49	thf(decl_314, type, esk224_4: int > (real > int) > real > real > real).
1.28/1.49	thf(decl_315, type, esk225_4: real > (nat > real) > nat > nat > nat).
1.28/1.49	thf(decl_316, type, esk226_4: real > (nat > real) > nat > nat > nat).
1.28/1.49	thf(decl_317, type, esk227_4: real > (int > real) > int > int > int).
1.28/1.49	thf(decl_318, type, esk228_4: real > (int > real) > int > int > int).
1.28/1.49	thf(decl_319, type, esk229_4: real > (real > real) > real > real > real).
1.28/1.49	thf(decl_320, type, esk230_4: real > (real > real) > real > real > real).
1.28/1.49	thf(decl_321, type, esk231_4: nat > nat > (nat > nat) > nat > nat).
1.28/1.49	thf(decl_322, type, esk232_4: nat > nat > (nat > nat) > nat > nat).
1.28/1.49	thf(decl_323, type, esk233_4: nat > nat > (nat > int) > int > nat).
1.28/1.49	thf(decl_324, type, esk234_4: nat > nat > (nat > int) > int > nat).
1.28/1.49	thf(decl_325, type, esk235_4: nat > nat > (nat > real) > real > nat).
1.28/1.49	thf(decl_326, type, esk236_4: nat > nat > (nat > real) > real > nat).
1.28/1.49	thf(decl_327, type, esk237_4: int > int > (int > nat) > nat > int).
1.28/1.49	thf(decl_328, type, esk238_4: int > int > (int > nat) > nat > int).
1.28/1.49	thf(decl_329, type, esk239_4: int > int > (int > int) > int > int).
1.28/1.49	thf(decl_330, type, esk240_4: int > int > (int > int) > int > int).
1.28/1.49	thf(decl_331, type, esk241_4: int > int > (int > real) > real > int).
1.28/1.49	thf(decl_332, type, esk242_4: int > int > (int > real) > real > int).
1.28/1.49	thf(decl_333, type, esk243_4: real > real > (real > nat) > nat > real).
1.28/1.49	thf(decl_334, type, esk244_4: real > real > (real > nat) > nat > real).
1.28/1.49	thf(decl_335, type, esk245_4: real > real > (real > int) > int > real).
1.28/1.49	thf(decl_336, type, esk246_4: real > real > (real > int) > int > real).
1.28/1.49	thf(decl_337, type, esk247_4: real > real > (real > real) > real > real).
1.28/1.49	thf(decl_338, type, esk248_4: real > real > (real > real) > real > real).
1.28/1.49	thf(decl_339, type, esk249_2: real > real > real).
1.28/1.49	thf(decl_340, type, esk250_2: real > real > real).
1.28/1.49	thf(decl_341, type, esk251_3: real > real > real > real).
1.28/1.49	thf(decl_342, type, esk252_3: real > real > real > real).
1.28/1.49	thf(decl_343, type, esk253_4: nat > (nat > nat) > nat > nat > nat).
1.28/1.49	thf(decl_344, type, esk254_4: nat > (nat > nat) > nat > nat > nat).
1.28/1.49	thf(decl_345, type, esk255_4: nat > (int > nat) > int > int > int).
1.28/1.49	thf(decl_346, type, esk256_4: nat > (int > nat) > int > int > int).
1.28/1.49	thf(decl_347, type, esk257_4: nat > (real > nat) > real > real > real).
1.28/1.49	thf(decl_348, type, esk258_4: nat > (real > nat) > real > real > real).
1.28/1.49	thf(decl_349, type, esk259_4: int > (nat > int) > nat > nat > nat).
1.28/1.49	thf(decl_350, type, esk260_4: int > (nat > int) > nat > nat > nat).
1.28/1.49	thf(decl_351, type, esk261_4: int > (int > int) > int > int > int).
1.28/1.49	thf(decl_352, type, esk262_4: int > (int > int) > int > int > int).
1.28/1.49	thf(decl_353, type, esk263_4: int > (real > int) > real > real > real).
1.28/1.49	thf(decl_354, type, esk264_4: int > (real > int) > real > real > real).
1.28/1.49	thf(decl_355, type, esk265_4: real > (nat > real) > nat > nat > nat).
1.28/1.49	thf(decl_356, type, esk266_4: real > (nat > real) > nat > nat > nat).
1.28/1.49	thf(decl_357, type, esk267_4: real > (int > real) > int > int > int).
1.28/1.49	thf(decl_358, type, esk268_4: real > (int > real) > int > int > int).
1.28/1.49	thf(decl_359, type, esk269_4: real > (real > real) > real > real > real).
1.28/1.49	thf(decl_360, type, esk270_4: real > (real > real) > real > real > real).
1.28/1.49	thf(decl_361, type, esk271_1: nat > nat).
1.28/1.49	thf(decl_362, type, esk272_1: int > int).
1.28/1.49	thf(decl_363, type, esk273_1: real > real).
1.28/1.49	thf(decl_364, type, esk274_1: nat > nat).
1.28/1.49	thf(decl_365, type, esk275_1: int > int).
1.28/1.49	thf(decl_366, type, esk276_1: real > real).
1.28/1.49	thf(decl_367, type, esk277_1: nat > nat).
1.28/1.49	thf(decl_368, type, esk278_1: int > int).
1.28/1.49	thf(decl_369, type, esk279_1: real > real).
1.28/1.49	thf(decl_370, type, esk280_1: nat > nat).
1.28/1.49	thf(decl_371, type, esk281_1: int > int).
1.28/1.49	thf(decl_372, type, esk282_1: real > real).
1.28/1.49	thf(decl_373, type, esk283_3: nat > nat > (nat > $o) > nat).
1.28/1.49	thf(decl_374, type, esk284_4: nat > nat > (nat > $o) > nat > nat).
1.28/1.49	thf(decl_375, type, esk285_3: int > int > (int > $o) > int).
1.28/1.49	thf(decl_376, type, esk286_4: int > int > (int > $o) > int > int).
1.28/1.49	thf(decl_377, type, esk287_3: real > real > (real > $o) > real).
1.28/1.49	thf(decl_378, type, esk288_4: real > real > (real > $o) > real > real).
1.28/1.49	thf(decl_379, type, esk289_2: real > real > real).
1.28/1.49	thf(decl_380, type, esk290_1: real > real).
1.28/1.49	thf(decl_381, type, esk291_1: real > real).
1.28/1.49	thf(decl_382, type, esk292_3: (nat > $o) > (nat > $o) > nat > nat).
1.28/1.49	thf(decl_383, type, esk293_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
1.28/1.49	thf(decl_384, type, esk294_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
1.28/1.49	thf(decl_385, type, esk295_3: (int > $o) > (int > $o) > int > int).
1.28/1.49	thf(decl_386, type, esk296_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
1.28/1.49	thf(decl_387, type, esk297_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
1.28/1.49	thf(decl_388, type, esk298_3: (real > $o) > (real > $o) > real > real).
1.28/1.49	thf(decl_389, type, esk299_5: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real > real).
1.28/1.49	thf(decl_390, type, esk300_4: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real).
1.28/1.49	thf(decl_391, type, esk301_3: (nat > $o) > (nat > $o) > nat > nat).
1.28/1.49	thf(decl_392, type, esk302_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
1.28/1.49	thf(decl_393, type, esk303_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
1.28/1.49	thf(decl_394, type, esk304_3: (int > $o) > (int > $o) > int > int).
1.28/1.49	thf(decl_395, type, esk305_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
1.28/1.49	thf(decl_396, type, esk306_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
1.28/1.49	thf(decl_397, type, esk307_3: (real > $o) > (real > $o) > real > real).
1.28/1.49	thf(decl_398, type, esk308_5: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real > real).
1.28/1.49	thf(decl_399, type, esk309_4: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real).
1.28/1.49	thf(decl_400, type, esk310_1: nat > nat).
1.28/1.49	thf(decl_401, type, esk311_1: int > int).
1.28/1.49	thf(decl_402, type, esk312_1: real > real).
1.28/1.49	thf(decl_403, type, esk313_1: nat > nat).
1.28/1.49	thf(decl_404, type, esk314_1: int > int).
1.28/1.49	thf(decl_405, type, esk315_1: real > real).
1.28/1.49	thf(decl_406, type, esk316_1: nat > nat).
1.28/1.49	thf(decl_407, type, esk317_1: int > int).
1.28/1.49	thf(decl_408, type, esk318_1: real > real).
1.28/1.49	thf(decl_409, type, esk319_1: nat > nat).
1.28/1.49	thf(decl_410, type, esk320_1: int > int).
1.28/1.49	thf(decl_411, type, esk321_1: real > real).
1.28/1.49	thf(decl_412, type, esk322_3: (nat > $o) > (nat > $o) > nat > nat).
1.28/1.49	thf(decl_413, type, esk323_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
1.28/1.49	thf(decl_414, type, esk324_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
1.28/1.49	thf(decl_415, type, esk325_3: (int > $o) > (int > $o) > int > int).
1.28/1.49	thf(decl_416, type, esk326_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
1.28/1.49	thf(decl_417, type, esk327_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
1.28/1.49	thf(decl_418, type, esk328_3: (real > $o) > (real > $o) > real > real).
1.28/1.49	thf(decl_419, type, esk329_5: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real > real).
1.28/1.49	thf(decl_420, type, esk330_4: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real).
1.28/1.49	thf(decl_421, type, esk331_3: (nat > $o) > (nat > $o) > nat > nat).
1.28/1.49	thf(decl_422, type, esk332_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
1.28/1.49	thf(decl_423, type, esk333_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
1.28/1.49	thf(decl_424, type, esk334_3: (int > $o) > (int > $o) > int > int).
1.28/1.49	thf(decl_425, type, esk335_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
1.28/1.49	thf(decl_426, type, esk336_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
1.28/1.49	thf(decl_427, type, esk337_3: (real > $o) > (real > $o) > real > real).
1.28/1.49	thf(decl_428, type, esk338_5: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real > real).
1.28/1.49	thf(decl_429, type, esk339_4: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real).
1.28/1.49	thf(decl_430, type, esk340_1: nat > nat).
1.28/1.49	thf(decl_431, type, esk341_1: int > int).
1.28/1.49	thf(decl_432, type, esk342_1: real > real).
1.28/1.49	thf(decl_433, type, esk343_1: nat > nat).
1.28/1.49	thf(decl_434, type, esk344_1: int > int).
1.28/1.49	thf(decl_435, type, esk345_1: real > real).
1.28/1.49	thf(decl_436, type, esk346_1: nat > nat).
1.28/1.49	thf(decl_437, type, esk347_1: int > int).
1.28/1.49	thf(decl_438, type, esk348_1: real > real).
1.28/1.49	thf(decl_439, type, esk349_1: nat > nat).
1.28/1.49	thf(decl_440, type, esk350_1: int > int).
1.28/1.49	thf(decl_441, type, esk351_1: real > real).
1.28/1.49	thf(decl_442, type, esk352_2: (kyber_qr_a > $o) > kyber_qr_a > kyber_qr_a).
1.28/1.49	thf(decl_443, type, esk353_2: (kyber_qr_a > $o) > kyber_qr_a > kyber_qr_a).
1.28/1.49	thf(decl_444, type, esk354_3: (kyber_qr_a > $o) > kyber_qr_a > (kyber_qr_a > $o) > kyber_qr_a).
1.28/1.49	thf(decl_445, type, esk355_3: (kyber_qr_a > $o) > kyber_qr_a > (kyber_qr_a > $o) > kyber_qr_a).
1.28/1.49	thf(decl_446, type, esk356_2: (int > $o) > int > int).
1.28/1.49	thf(decl_447, type, esk357_2: (int > $o) > int > int).
1.28/1.49	thf(decl_448, type, esk358_3: (int > $o) > int > (int > $o) > int).
1.28/1.49	thf(decl_449, type, esk359_3: (int > $o) > int > (int > $o) > int).
1.28/1.49	thf(decl_450, type, esk360_2: (real > $o) > real > real).
1.28/1.49	thf(decl_451, type, esk361_2: (real > $o) > real > real).
1.28/1.49	thf(decl_452, type, esk362_3: (real > $o) > real > (real > $o) > real).
1.28/1.49	thf(decl_453, type, esk363_3: (real > $o) > real > (real > $o) > real).
1.28/1.49	thf(decl_454, type, esk364_2: (finite_mod_ring_a > $o) > finite_mod_ring_a > finite_mod_ring_a).
1.28/1.49	thf(decl_455, type, esk365_2: (finite_mod_ring_a > $o) > finite_mod_ring_a > finite_mod_ring_a).
1.28/1.49	thf(decl_456, type, esk366_3: (finite_mod_ring_a > $o) > finite_mod_ring_a > (finite_mod_ring_a > $o) > finite_mod_ring_a).
1.28/1.49	thf(decl_457, type, esk367_3: (finite_mod_ring_a > $o) > finite_mod_ring_a > (finite_mod_ring_a > $o) > finite_mod_ring_a).
1.28/1.49	thf(decl_458, type, esk368_2: (kyber_qr_a > $o) > kyber_qr_a > kyber_qr_a).
1.28/1.49	thf(decl_459, type, esk369_2: (kyber_qr_a > $o) > kyber_qr_a > kyber_qr_a).
1.28/1.49	thf(decl_460, type, esk370_3: (kyber_qr_a > $o) > kyber_qr_a > (kyber_qr_a > $o) > kyber_qr_a).
1.28/1.49	thf(decl_461, type, esk371_3: (kyber_qr_a > $o) > kyber_qr_a > (kyber_qr_a > $o) > kyber_qr_a).
1.28/1.49	thf(decl_462, type, esk372_2: (int > $o) > int > int).
1.28/1.49	thf(decl_463, type, esk373_2: (int > $o) > int > int).
1.28/1.49	thf(decl_464, type, esk374_3: (int > $o) > int > (int > $o) > int).
1.28/1.49	thf(decl_465, type, esk375_3: (int > $o) > int > (int > $o) > int).
1.28/1.49	thf(decl_466, type, esk376_2: (real > $o) > real > real).
1.28/1.49	thf(decl_467, type, esk377_2: (real > $o) > real > real).
1.28/1.49	thf(decl_468, type, esk378_3: (real > $o) > real > (real > $o) > real).
1.28/1.49	thf(decl_469, type, esk379_3: (real > $o) > real > (real > $o) > real).
1.28/1.49	thf(decl_470, type, esk380_2: (finite_mod_ring_a > $o) > finite_mod_ring_a > finite_mod_ring_a).
1.28/1.49	thf(decl_471, type, esk381_2: (finite_mod_ring_a > $o) > finite_mod_ring_a > finite_mod_ring_a).
1.28/1.49	thf(decl_472, type, esk382_3: (finite_mod_ring_a > $o) > finite_mod_ring_a > (finite_mod_ring_a > $o) > finite_mod_ring_a).
1.28/1.49	thf(decl_473, type, esk383_3: (finite_mod_ring_a > $o) > finite_mod_ring_a > (finite_mod_ring_a > $o) > finite_mod_ring_a).
1.28/1.49	thf(decl_474, type, esk384_1: int > nat).
1.28/1.49	thf(decl_475, type, esk385_1: int > nat).
1.28/1.49	thf(decl_476, type, esk386_2: real > real > nat).
1.28/1.49	thf(decl_477, type, esk387_2: int > (int > $o) > int).
1.28/1.49	thf(decl_478, type, esk388_2: int > (int > $o) > int).
1.28/1.49	thf(decl_479, type, esk389_2: int > (int > $o) > int).
1.28/1.49	thf(decl_480, type, esk390_4: int > (int > $o) > (int > $o) > int > int).
1.28/1.49	thf(decl_481, type, esk391_3: int > (int > $o) > (int > $o) > int).
1.28/1.49	thf(decl_482, type, esk392_2: int > (int > $o) > int).
1.28/1.49	thf(decl_483, type, esk393_2: int > (int > $o) > int).
1.28/1.49	thf(decl_484, type, esk394_4: int > (int > $o) > (int > $o) > int > int).
1.28/1.49	thf(decl_485, type, esk395_3: int > (int > $o) > (int > $o) > int).
1.28/1.49	thf(decl_486, type, esk396_1: int > nat).
1.28/1.49	thf(decl_487, type, esk397_1: int > nat).
1.28/1.49	thf(decl_488, type, esk398_1: int > nat).
1.28/1.49	thf(decl_489, type, esk399_1: int > nat).
1.28/1.49	thf(decl_490, type, esk400_2: real > real > nat).
1.28/1.49	thf(decl_491, type, esk401_2: real > real > nat).
1.28/1.49	thf(decl_492, type, esk402_3: int > int > (int > $o) > int).
1.28/1.49	thf(decl_493, type, esk403_1: real > nat).
1.28/1.49	thf(decl_494, type, esk404_1: real > nat).
1.28/1.49	thf(decl_495, type, esk405_2: real > real > real).
1.28/1.49	thf(decl_496, type, esk406_2: (real > $o) > real > real).
1.28/1.49	thf(decl_497, type, esk407_1: (real > $o) > real).
1.28/1.49	thf(decl_498, type, esk408_2: (real > $o) > real > real).
1.28/1.49	thf(decl_499, type, esk409_1: real > real).
1.28/1.49	thf(decl_500, type, esk410_1: real > real).
1.28/1.49	thf(decl_501, type, esk411_3: real > real > (real > real > $o) > real).
1.28/1.49	thf(decl_502, type, esk412_3: real > real > (real > real > $o) > real).
1.28/1.49	thf(decl_503, type, esk413_3: real > real > (real > real > $o) > real).
1.28/1.49	thf(decl_504, type, esk414_3: real > real > (real > real > $o) > real).
1.28/1.49	thf(decl_505, type, esk415_4: real > real > (real > real > $o) > real > real).
1.28/1.49	thf(decl_506, type, esk416_4: real > real > (real > real > $o) > real > real).
1.28/1.49	thf(decl_507, type, esk417_3: nat > (nat > real) > (nat > real) > nat).
1.28/1.49	thf(decl_508, type, esk418_3: nat > (nat > real) > (nat > real) > nat).
1.28/1.49	thf(decl_509, type, esk419_1: (nat > $o) > int).
1.28/1.49	thf(decl_510, type, esk420_1: (nat > $o) > nat).
1.28/1.49	thf(decl_511, type, esk421_1: (nat > $o) > nat).
1.28/1.49	thf(decl_512, type, esk422_1: (nat > $o) > int).
1.28/1.49	thf(decl_513, type, esk423_2: (nat > $o) > int > nat).
1.28/1.49	thf(decl_514, type, esk424_0: finite_mod_ring_a).
1.28/1.49	thf(decl_515, type, esk425_0: finite_mod_ring_a).
1.28/1.49	thf(decl_516, type, esk426_2: real > real > nat).
1.28/1.49	thf(decl_517, type, esk427_2: real > real > nat).
1.28/1.49	thf(decl_518, type, esk428_2: nat > real > real).
1.28/1.49	thf(decl_519, type, esk429_2: nat > real > real).
1.28/1.49	thf(decl_520, type, esk430_1: int > nat).
1.28/1.49	thf(decl_521, type, esk431_1: int > nat).
1.28/1.49	thf(decl_522, type, esk432_1: int > nat).
1.28/1.49	thf(decl_523, type, esk433_1: int > nat).
1.28/1.49	thf(decl_524, type, esk434_1: int > nat).
1.28/1.49	thf(decl_525, type, esk435_1: int > nat).
1.28/1.49	thf(decl_526, type, esk436_1: int > nat).
1.28/1.49	thf(decl_527, type, esk437_1: int > nat).
1.28/1.49	thf(decl_528, type, esk438_2: real > real > nat).
1.28/1.49	thf(decl_529, type, esk439_2: (nat > $o) > nat > nat).
1.28/1.49	thf(decl_530, type, esk440_1: (nat > $o) > nat).
1.28/1.49	thf(decl_531, type, esk441_3: nat > nat > (nat > $o) > nat).
1.28/1.49	thf(decl_532, type, esk442_3: nat > nat > (nat > $o) > nat).
1.28/1.49	thf(decl_533, type, esk443_2: nat > nat > nat).
1.28/1.49	thf(decl_534, type, esk444_1: (nat > $o) > nat).
1.28/1.49	thf(decl_535, type, esk445_3: nat > nat > (nat > $o) > nat).
1.28/1.49	thf(decl_536, type, esk446_3: nat > nat > (nat > nat > $o) > nat).
1.28/1.49	thf(decl_537, type, esk447_3: nat > nat > (nat > nat > $o) > nat).
1.28/1.49	thf(decl_538, type, esk448_3: nat > nat > (nat > nat > $o) > nat).
1.28/1.49	thf(decl_539, type, esk449_3: nat > nat > (nat > nat > $o) > nat).
1.28/1.49	thf(decl_540, type, esk450_3: nat > nat > (nat > nat > $o) > nat).
1.28/1.49	thf(decl_541, type, esk451_2: nat > (nat > $o) > nat).
1.28/1.49	thf(decl_542, type, esk452_2: nat > (nat > $o) > nat).
1.28/1.49	thf(decl_543, type, esk453_2: nat > (nat > $o) > nat).
1.28/1.49	thf(decl_544, type, esk454_2: nat > (nat > $o) > nat).
1.28/1.49	thf(decl_545, type, esk455_1: (nat > $o) > nat).
1.28/1.49	thf(decl_546, type, esk456_1: nat > nat).
1.28/1.49	thf(decl_547, type, esk457_1: nat > nat).
1.28/1.49	thf(decl_548, type, esk458_2: nat > nat > nat).
1.28/1.49	thf(decl_549, type, esk459_1: nat > nat).
1.28/1.49	thf(decl_550, type, esk460_1: (nat > $o) > nat).
1.28/1.49	thf(decl_551, type, esk461_1: (nat > nat > $o) > nat).
1.28/1.49	thf(decl_552, type, esk462_1: (nat > nat > $o) > nat).
1.28/1.49	thf(decl_553, type, esk463_1: (nat > nat > $o) > nat).
1.28/1.49	thf(decl_554, type, esk464_1: (nat > nat > $o) > nat).
1.28/1.49	thf(decl_555, type, esk465_1: (nat > $o) > nat).
1.28/1.49	thf(decl_556, type, esk466_1: nat > nat).
1.28/1.49	thf(decl_557, type, esk467_1: (nat > $o) > nat).
1.28/1.49	thf(decl_558, type, esk468_2: nat > nat > nat).
1.28/1.49	thf(decl_559, type, esk469_2: nat > nat > nat).
1.28/1.49	thf(decl_560, type, esk470_2: nat > (nat > $o) > nat).
1.28/1.49	thf(decl_561, type, esk471_2: nat > (nat > $o) > nat).
1.28/1.49	thf(decl_562, type, esk472_2: nat > (nat > $o) > nat).
1.28/1.49	thf(decl_563, type, esk473_2: nat > (nat > $o) > nat).
1.28/1.49	thf(decl_564, type, esk474_2: nat > nat > nat).
1.28/1.49	thf(decl_565, type, esk475_3: nat > nat > (nat > nat > $o) > nat).
1.28/1.49	thf(decl_566, type, esk476_3: nat > nat > (nat > nat > $o) > nat).
1.28/1.49	thf(decl_567, type, esk477_3: nat > nat > (nat > nat > $o) > nat).
1.28/1.49	thf(decl_568, type, esk478_3: nat > nat > (nat > nat > $o) > nat).
1.28/1.49	thf(decl_569, type, esk479_3: nat > nat > (nat > $o) > nat).
1.28/1.49	thf(decl_570, type, esk480_3: nat > nat > (nat > $o) > nat).
1.28/1.49	thf(decl_571, type, esk481_2: (nat > $o) > nat > nat).
1.28/1.49	thf(decl_572, type, esk482_1: int > nat).
1.28/1.49	thf(decl_573, type, esk483_1: int > nat).
1.28/1.49	thf(decl_574, type, esk484_1: (int > $o) > nat).
1.28/1.49	thf(decl_575, type, esk485_1: (int > $o) > nat).
1.28/1.49	thf(decl_576, type, esk486_2: (nat > $o) > nat > nat).
1.28/1.49	thf(decl_577, type, esk487_2: nat > (nat > $o) > nat).
1.28/1.49	thf(decl_578, type, esk488_2: real > nat > real).
1.28/1.49	thf(decl_579, type, esk489_1: int > nat).
1.28/1.49	thf(decl_580, type, epred1_1: set_int > int > $o).
1.28/1.49	thf(fact_47_linorder__neqE__nat, axiom, ![X19:nat, X35:nat]:((((X19)!=(X35))=>(~((ord_less_nat @ X19 @ X35))=>(ord_less_nat @ X35 @ X19)))), file('/export/starexec/sandbox2/tmp/tmp.ppgAE2dA42/Vampire---4.8_20697', fact_47_linorder__neqE__nat)).
1.28/1.49	thf(fact_0_False, axiom, ~((ord_less_nat @ j @ i)), file('/export/starexec/sandbox2/tmp/tmp.ppgAE2dA42/Vampire---4.8_20697', fact_0_False)).
1.28/1.49	thf(fact_100_less__or__eq__imp__le, axiom, ![X1:nat, X2:nat]:((((ord_less_nat @ X1 @ X2)|((X1)=(X2)))=>(ord_less_eq_nat @ X1 @ X2))), file('/export/starexec/sandbox2/tmp/tmp.ppgAE2dA42/Vampire---4.8_20697', fact_100_less__or__eq__imp__le)).
1.28/1.49	thf(fact_10__092_060open_062j_H_A_092_060noteq_062_Ai_092_060close_062, axiom, ((j)!=(i)), file('/export/starexec/sandbox2/tmp/tmp.ppgAE2dA42/Vampire---4.8_20697', fact_10__092_060open_062j_H_A_092_060noteq_062_Ai_092_060close_062)).
1.28/1.49	thf(fact_11_diff__is__0__eq, axiom, ![X1:nat, X2:nat]:((((minus_minus_nat @ X1 @ X2)=(zero_zero_nat))<=>(ord_less_eq_nat @ X1 @ X2))), file('/export/starexec/sandbox2/tmp/tmp.ppgAE2dA42/Vampire---4.8_20697', fact_11_diff__is__0__eq)).
1.28/1.49	thf(fact_104_diffs0__imp__equal, axiom, ![X1:nat, X2:nat]:((((minus_minus_nat @ X1 @ X2)=(zero_zero_nat))=>(((minus_minus_nat @ X2 @ X1)=(zero_zero_nat))=>((X1)=(X2))))), file('/export/starexec/sandbox2/tmp/tmp.ppgAE2dA42/Vampire---4.8_20697', fact_104_diffs0__imp__equal)).
1.28/1.49	thf(fact_1234_not__less__eq, axiom, ![X1:nat, X2:nat]:((~((ord_less_nat @ X1 @ X2))<=>(ord_less_nat @ X2 @ (suc @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.ppgAE2dA42/Vampire---4.8_20697', fact_1234_not__less__eq)).
1.28/1.49	thf(fact_3__092_060open_062j_H_A_N_Ai_A_092_060noteq_062_A0_A_092_060Longrightarrow_062_An_A_092_060le_062_Aj_H_A_N_Ai_092_060close_062, axiom, (((minus_minus_nat @ j @ i)!=(zero_zero_nat))=>(ord_less_eq_nat @ n @ (minus_minus_nat @ j @ i))), file('/export/starexec/sandbox2/tmp/tmp.ppgAE2dA42/Vampire---4.8_20697', fact_3__092_060open_062j_H_A_N_Ai_A_092_060noteq_062_A0_A_092_060Longrightarrow_062_An_A_092_060le_062_Aj_H_A_N_Ai_092_060close_062)).
1.28/1.49	thf(fact_1187_less__Suc__eq__le, axiom, ![X1:nat, X2:nat]:(((ord_less_nat @ X1 @ (suc @ X2))<=>(ord_less_eq_nat @ X1 @ X2))), file('/export/starexec/sandbox2/tmp/tmp.ppgAE2dA42/Vampire---4.8_20697', fact_1187_less__Suc__eq__le)).
1.28/1.49	thf(fact_1__092_060open_062j_H_A_N_Ai_A_060_An_092_060close_062, axiom, (ord_less_nat @ (minus_minus_nat @ j @ i) @ n), file('/export/starexec/sandbox2/tmp/tmp.ppgAE2dA42/Vampire---4.8_20697', fact_1__092_060open_062j_H_A_N_Ai_A_060_An_092_060close_062)).
1.28/1.49	thf(c_0_10, plain, ![X19:nat, X35:nat]:((((X19)!=(X35))=>(~(ord_less_nat @ X19 @ X35)=>(ord_less_nat @ X35 @ X19)))), inference(fof_simplification,[status(thm)],[fact_47_linorder__neqE__nat])).
1.28/1.49	thf(c_0_11, plain, ~(ord_less_nat @ j @ i), inference(fof_simplification,[status(thm)],[fact_0_False])).
1.28/1.49	thf(c_0_12, plain, ![X5374:nat, X5375:nat]:((((X5374)=(X5375))|((ord_less_nat @ X5374 @ X5375)|(ord_less_nat @ X5375 @ X5374)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])).
1.28/1.49	thf(c_0_13, plain, ![X5502:nat, X5503:nat]:(((~(ord_less_nat @ X5502 @ X5503)|(ord_less_eq_nat @ X5502 @ X5503))&(((X5502)!=(X5503))|(ord_less_eq_nat @ X5502 @ X5503)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_100_less__or__eq__imp__le])])])).
1.28/1.49	thf(c_0_14, plain, ~((ord_less_nat @ j @ i)), inference(split_conjunct,[status(thm)],[c_0_11])).
1.28/1.49	thf(c_0_15, plain, ![X2:nat, X1:nat]:((((X1)=(X2))|(ord_less_nat @ X1 @ X2)|(ord_less_nat @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_12])).
1.28/1.49	thf(c_0_16, plain, ((j)!=(i)), inference(split_conjunct,[status(thm)],[fact_10__092_060open_062j_H_A_092_060noteq_062_Ai_092_060close_062])).
1.28/1.49	thf(c_0_17, plain, ![X5318:nat, X5319:nat]:(((((minus_minus_nat @ X5318 @ X5319)!=(zero_zero_nat))|(ord_less_eq_nat @ X5318 @ X5319))&(~(ord_less_eq_nat @ X5318 @ X5319)|((minus_minus_nat @ X5318 @ X5319)=(zero_zero_nat))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_11_diff__is__0__eq])])).
1.28/1.49	thf(c_0_18, plain, ![X1:nat, X2:nat]:(((ord_less_eq_nat @ X1 @ X2)|~((ord_less_nat @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_13])).
1.28/1.49	thf(c_0_19, plain, (ord_less_nat @ i @ j), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16])).
1.28/1.49	thf(c_0_20, plain, ![X5510:nat, X5511:nat]:((((minus_minus_nat @ X5510 @ X5511)!=(zero_zero_nat))|(((minus_minus_nat @ X5511 @ X5510)!=(zero_zero_nat))|((X5510)=(X5511))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_104_diffs0__imp__equal])])).
1.28/1.49	thf(c_0_21, plain, ![X1:nat, X2:nat]:((((minus_minus_nat @ X1 @ X2)=(zero_zero_nat))|~((ord_less_eq_nat @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_17])).
1.28/1.49	thf(c_0_22, plain, (ord_less_eq_nat @ i @ j), inference(spm,[status(thm)],[c_0_18, c_0_19])).
1.28/1.49	thf(c_0_23, plain, ![X1:nat, X2:nat]:((~(ord_less_nat @ X1 @ X2)<=>(ord_less_nat @ X2 @ (suc @ X1)))), inference(fof_simplification,[status(thm)],[fact_1234_not__less__eq])).
1.28/1.49	thf(c_0_24, plain, (((minus_minus_nat @ j @ i)=(zero_zero_nat))|(ord_less_eq_nat @ n @ (minus_minus_nat @ j @ i))), inference(fof_nnf,[status(thm)],[fact_3__092_060open_062j_H_A_N_Ai_A_092_060noteq_062_A0_A_092_060Longrightarrow_062_An_A_092_060le_062_Aj_H_A_N_Ai_092_060close_062])).
1.28/1.49	thf(c_0_25, plain, ![X2:nat, X1:nat]:((((X1)=(X2))|((minus_minus_nat @ X1 @ X2)!=(zero_zero_nat))|((minus_minus_nat @ X2 @ X1)!=(zero_zero_nat)))), inference(split_conjunct,[status(thm)],[c_0_20])).
1.28/1.49	thf(c_0_26, plain, ((minus_minus_nat @ i @ j)=(zero_zero_nat)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
1.28/1.49	thf(c_0_27, plain, ![X8609:nat, X8610:nat]:((((ord_less_nat @ X8609 @ X8610)|(ord_less_nat @ X8610 @ (suc @ X8609)))&(~(ord_less_nat @ X8610 @ (suc @ X8609))|~(ord_less_nat @ X8609 @ X8610)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])).
1.28/1.49	thf(c_0_28, plain, ![X8475:nat, X8476:nat]:(((~(ord_less_nat @ X8475 @ (suc @ X8476))|(ord_less_eq_nat @ X8475 @ X8476))&(~(ord_less_eq_nat @ X8475 @ X8476)|(ord_less_nat @ X8475 @ (suc @ X8476))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1187_less__Suc__eq__le])])).
1.28/1.49	thf(c_0_29, plain, (((minus_minus_nat @ j @ i)=(zero_zero_nat))|(ord_less_eq_nat @ n @ (minus_minus_nat @ j @ i))), inference(split_conjunct,[status(thm)],[c_0_24])).
1.28/1.49	thf(c_0_30, plain, ((minus_minus_nat @ j @ i)!=(zero_zero_nat)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_16])).
1.28/1.49	thf(c_0_31, plain, ![X2:nat, X1:nat]:((~((ord_less_nat @ X1 @ (suc @ X2)))|~((ord_less_nat @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_27])).
1.28/1.49	thf(c_0_32, plain, (ord_less_nat @ (minus_minus_nat @ j @ i) @ n), inference(split_conjunct,[status(thm)],[fact_1__092_060open_062j_H_A_N_Ai_A_060_An_092_060close_062])).
1.28/1.49	thf(c_0_33, plain, ![X1:nat, X2:nat]:(((ord_less_nat @ X1 @ (suc @ X2))|~((ord_less_eq_nat @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_28])).
1.28/1.49	thf(c_0_34, plain, (ord_less_eq_nat @ n @ (minus_minus_nat @ j @ i)), inference(sr,[status(thm)],[c_0_29, c_0_30])).
1.28/1.49	thf(c_0_35, plain, ~((ord_less_nat @ n @ (suc @ (minus_minus_nat @ j @ i)))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
1.28/1.49	thf(c_0_36, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35]), ['proof']).
1.28/1.49	# SZS output end CNFRefutation
1.28/1.49	# Parsed axioms                        : 1352
1.28/1.49	# Removed by relevancy pruning/SinE    : 0
1.28/1.49	# Initial clauses                      : 3017
1.28/1.49	# Removed in clause preprocessing      : 169
1.28/1.49	# Initial clauses in saturation        : 2848
1.28/1.49	# Processed clauses                    : 6298
1.28/1.49	# ...of these trivial                  : 154
1.28/1.49	# ...subsumed                          : 2540
1.28/1.49	# ...remaining for further processing  : 3604
1.28/1.49	# Other redundant clauses eliminated   : 401
1.28/1.49	# Clauses deleted for lack of memory   : 0
1.28/1.49	# Backward-subsumed                    : 29
1.28/1.49	# Backward-rewritten                   : 136
1.28/1.49	# Generated clauses                    : 13363
1.28/1.49	# ...of the previous two non-redundant : 11117
1.28/1.49	# ...aggressively subsumed             : 0
1.28/1.49	# Contextual simplify-reflections      : 4
1.28/1.49	# Paramodulations                      : 12926
1.28/1.49	# Factorizations                       : 13
1.28/1.49	# NegExts                              : 0
1.28/1.49	# Equation resolutions                 : 415
1.28/1.49	# Propositional unsat checks           : 0
1.28/1.49	#    Propositional check models        : 0
1.28/1.49	#    Propositional check unsatisfiable : 0
1.28/1.49	#    Propositional clauses             : 0
1.28/1.49	#    Propositional clauses after purity: 0
1.28/1.49	#    Propositional unsat core size     : 0
1.28/1.49	#    Propositional preprocessing time  : 0.000
1.28/1.49	#    Propositional encoding time       : 0.000
1.28/1.49	#    Propositional solver time         : 0.000
1.28/1.49	#    Success case prop preproc time    : 0.000
1.28/1.49	#    Success case prop encoding time   : 0.000
1.28/1.49	#    Success case prop solver time     : 0.000
1.28/1.49	# Current number of processed clauses  : 1275
1.28/1.49	#    Positive orientable unit clauses  : 362
1.28/1.49	#    Positive unorientable unit clauses: 13
1.28/1.49	#    Negative unit clauses             : 474
1.28/1.49	#    Non-unit-clauses                  : 426
1.28/1.49	# Current number of unprocessed clauses: 8774
1.28/1.49	# ...number of literals in the above   : 19790
1.28/1.49	# Current number of archived formulas  : 0
1.28/1.49	# Current number of archived clauses   : 2022
1.28/1.49	# Clause-clause subsumption calls (NU) : 921467
1.28/1.49	# Rec. Clause-clause subsumption calls : 182521
1.28/1.49	# Non-unit clause-clause subsumptions  : 912
1.28/1.49	# Unit Clause-clause subsumption calls : 38538
1.28/1.49	# Rewrite failures with RHS unbound    : 0
1.28/1.49	# BW rewrite match attempts            : 330
1.28/1.49	# BW rewrite match successes           : 270
1.28/1.49	# Condensation attempts                : 0
1.28/1.49	# Condensation successes               : 0
1.28/1.49	# Termbank termtop insertions          : 394599
1.28/1.49	
1.28/1.49	# -------------------------------------------------
1.28/1.49	# User time                : 0.801 s
1.28/1.49	# System time              : 0.031 s
1.28/1.49	# Total time               : 0.832 s
1.28/1.49	# Maximum resident set size: 13588 pages
1.28/1.49	
1.28/1.49	# -------------------------------------------------
1.28/1.49	# User time                : 0.851 s
1.28/1.49	# System time              : 0.038 s
1.28/1.49	# Total time               : 0.889 s
1.28/1.49	# Maximum resident set size: 4592 pages
1.28/1.49	EOF