0.11/0.26	% Problem    : SLH0305^1 : TPTP v8.2.0. Released v8.2.0.
0.27/0.27	% Command    : run_E %s %d THM
0.27/0.48	% Computer : n015.cluster.edu
0.27/0.48	% Model    : x86_64 x86_64
0.27/0.48	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.27/0.48	% Memory   : 8042.1875MB
0.27/0.48	% OS       : Linux 3.10.0-693.el7.x86_64
0.27/0.48	% CPULimit   : 30
0.27/0.48	% WCLimit    : 30
0.27/0.48	% DateTime   : Mon Jul  3 09:51:25 EDT 2023
0.27/0.48	% CPUTime    : 
0.45/0.61	The problem SPC is TH0_THM_EQU_NAR
0.45/0.61	Running higher-order on 1 cores theorem proving
0.45/0.61	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.OetEi9s9HP/Vampire---4.8_1799
0.45/0.61	# Version: 3.0pre003-ho
1.06/1.24	# Preprocessing class: HMLSSMSMSSSNSFA.
1.06/1.24	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.06/1.24	# Starting sh3 with 30s (1) cores
1.06/1.24	# sh3 with pid 1986 completed with status 0
1.06/1.24	# Result found by sh3
1.06/1.24	# Preprocessing class: HMLSSMSMSSSNSFA.
1.06/1.24	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.06/1.24	# Starting sh3 with 30s (1) cores
1.06/1.24	# No SInE strategy applied
1.06/1.24	# Search class: HGHSM-SMLM32-MSFFFSBN
1.06/1.24	# Scheduled 6 strats onto 1 cores with 30 seconds (30 total)
1.06/1.24	# Starting new_ho_10 with 9s (1) cores
1.06/1.24	# new_ho_10 with pid 1987 completed with status 0
1.06/1.24	# Result found by new_ho_10
1.06/1.24	# Preprocessing class: HMLSSMSMSSSNSFA.
1.06/1.24	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.06/1.24	# Starting sh3 with 30s (1) cores
1.06/1.24	# No SInE strategy applied
1.06/1.24	# Search class: HGHSM-SMLM32-MSFFFSBN
1.06/1.24	# Scheduled 6 strats onto 1 cores with 30 seconds (30 total)
1.06/1.24	# Starting new_ho_10 with 9s (1) cores
1.06/1.24	# Preprocessing time       : 0.045 s
1.06/1.24	# Presaturation interreduction done
1.06/1.24	
1.06/1.24	# Proof found!
1.06/1.24	# SZS status Theorem
1.06/1.24	# SZS output start CNFRefutation
1.06/1.24	thf(decl_22, type, finite8272632373135393572ring_a: int > finite_mod_ring_a).
1.06/1.24	thf(decl_23, type, abs_abs_int: int > int).
1.06/1.24	thf(decl_24, type, abs_abs_real: real > real).
1.06/1.24	thf(decl_25, type, minus_3609261664126569004ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
1.06/1.24	thf(decl_26, type, minus_minus_int: int > int > int).
1.06/1.24	thf(decl_27, type, minus_minus_nat: nat > nat > nat).
1.06/1.24	thf(decl_28, type, minus_minus_real: real > real > real).
1.06/1.24	thf(decl_29, type, one_on2109788427901206336ring_a: finite_mod_ring_a).
1.06/1.24	thf(decl_30, type, one_one_int: int).
1.06/1.24	thf(decl_31, type, one_one_nat: nat).
1.06/1.24	thf(decl_32, type, one_one_real: real).
1.06/1.24	thf(decl_33, type, plus_p6165643967897163644ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
1.06/1.24	thf(decl_34, type, plus_plus_int: int > int > int).
1.06/1.24	thf(decl_35, type, plus_plus_nat: nat > nat > nat).
1.06/1.24	thf(decl_36, type, plus_plus_real: real > real > real).
1.06/1.24	thf(decl_37, type, times_5121417576591743744ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
1.06/1.24	thf(decl_38, type, times_times_int: int > int > int).
1.06/1.24	thf(decl_39, type, times_times_nat: nat > nat > nat).
1.06/1.24	thf(decl_40, type, times_times_real: real > real > real).
1.06/1.24	thf(decl_41, type, zero_z7902377541816115708ring_a: finite_mod_ring_a).
1.06/1.24	thf(decl_42, type, zero_zero_int: int).
1.06/1.24	thf(decl_43, type, zero_zero_nat: nat).
1.06/1.24	thf(decl_44, type, zero_zero_real: real).
1.06/1.24	thf(decl_45, type, if_Finite_mod_ring_a: $o > finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
1.06/1.24	thf(decl_46, type, if_int: $o > int > int > int).
1.06/1.24	thf(decl_47, type, if_nat: $o > nat > nat > nat).
1.06/1.24	thf(decl_48, type, if_real: $o > real > real > real).
1.06/1.24	thf(decl_49, type, nth_Fi694352073394265932ring_a: list_F4626807571770296779ring_a > nat > finite_mod_ring_a).
1.06/1.24	thf(decl_50, type, produc8329424361544179333ring_a: list_F4626807571770296779ring_a > list_F4626807571770296779ring_a > list_P3622523039039653997ring_a).
1.06/1.24	thf(decl_51, type, ntt_a: nat > nat > nat > finite_mod_ring_a > finite_mod_ring_a > $o).
1.06/1.24	thf(decl_52, type, iNTT_a: nat > finite_mod_ring_a > list_F4626807571770296779ring_a > list_F4626807571770296779ring_a).
1.06/1.24	thf(decl_53, type, nTT_a: nat > finite_mod_ring_a > list_F4626807571770296779ring_a > list_F4626807571770296779ring_a).
1.06/1.24	thf(decl_54, type, ntt_a2: nat > finite_mod_ring_a > list_F4626807571770296779ring_a > nat > finite_mod_ring_a).
1.06/1.24	thf(decl_55, type, suc: nat > nat).
1.06/1.24	thf(decl_56, type, semiri1314217659103216013at_int: nat > int).
1.06/1.24	thf(decl_57, type, semiri5074537144036343181t_real: nat > real).
1.06/1.24	thf(decl_58, type, size_s7115545719440041015ring_a: list_F4626807571770296779ring_a > nat).
1.06/1.24	thf(decl_59, type, size_s681732177277979353ring_a: list_P3622523039039653997ring_a > nat).
1.06/1.24	thf(decl_60, type, size_size_char: char > nat).
1.06/1.24	thf(decl_61, type, ord_less_int: int > int > $o).
1.06/1.24	thf(decl_62, type, ord_less_nat: nat > nat > $o).
1.06/1.24	thf(decl_63, type, ord_less_real: real > real > $o).
1.06/1.24	thf(decl_64, type, ord_less_eq_int: int > int > $o).
1.06/1.24	thf(decl_65, type, ord_less_eq_nat: nat > nat > $o).
1.06/1.24	thf(decl_66, type, ord_less_eq_real: real > real > $o).
1.06/1.24	thf(decl_67, type, power_6826135765519566523ring_a: finite_mod_ring_a > nat > finite_mod_ring_a).
1.06/1.24	thf(decl_68, type, power_power_int: int > nat > int).
1.06/1.24	thf(decl_69, type, power_power_nat: nat > nat > nat).
1.06/1.24	thf(decl_70, type, power_power_real: real > nat > real).
1.06/1.24	thf(decl_71, type, preliminary_mu_a: nat > finite_mod_ring_a).
1.06/1.24	thf(decl_72, type, preliminary_omega_a: nat > finite_mod_ring_a).
1.06/1.24	thf(decl_73, type, modulo_modulo_int: int > int > int).
1.06/1.24	thf(decl_74, type, modulo_modulo_nat: nat > nat > nat).
1.06/1.24	thf(decl_75, type, collect_real: (real > $o) > set_real).
1.06/1.24	thf(decl_76, type, size_char: char > nat).
1.06/1.24	thf(decl_77, type, member_real: real > set_real > $o).
1.06/1.24	thf(decl_78, type, mu: finite_mod_ring_a).
1.06/1.24	thf(decl_79, type, omega: finite_mod_ring_a).
1.06/1.24	thf(decl_80, type, i: nat).
1.06/1.24	thf(decl_81, type, j: nat).
1.06/1.24	thf(decl_82, type, k: nat).
1.06/1.24	thf(decl_83, type, l: nat).
1.06/1.24	thf(decl_84, type, n: nat).
1.06/1.24	thf(decl_85, type, numbers: list_F4626807571770296779ring_a).
1.06/1.24	thf(decl_86, type, p: nat).
1.06/1.24	thf(decl_87, type, esk1_2: (finite_mod_ring_a > $o) > finite_mod_ring_a > finite_mod_ring_a).
1.06/1.24	thf(decl_88, type, esk2_2: (finite_mod_ring_a > $o) > finite_mod_ring_a > finite_mod_ring_a).
1.06/1.24	thf(decl_89, type, esk3_3: (finite_mod_ring_a > $o) > finite_mod_ring_a > (finite_mod_ring_a > $o) > finite_mod_ring_a).
1.06/1.24	thf(decl_90, type, esk4_3: (finite_mod_ring_a > $o) > finite_mod_ring_a > (finite_mod_ring_a > $o) > finite_mod_ring_a).
1.06/1.24	thf(decl_91, type, esk5_2: (int > $o) > int > int).
1.06/1.24	thf(decl_92, type, esk6_2: (int > $o) > int > int).
1.06/1.24	thf(decl_93, type, esk7_3: (int > $o) > int > (int > $o) > int).
1.06/1.24	thf(decl_94, type, esk8_3: (int > $o) > int > (int > $o) > int).
1.06/1.24	thf(decl_95, type, esk9_2: (real > $o) > real > real).
1.06/1.24	thf(decl_96, type, esk10_2: (real > $o) > real > real).
1.06/1.24	thf(decl_97, type, esk11_3: (real > $o) > real > (real > $o) > real).
1.06/1.24	thf(decl_98, type, esk12_3: (real > $o) > real > (real > $o) > real).
1.06/1.24	thf(decl_99, type, esk13_2: (finite_mod_ring_a > $o) > finite_mod_ring_a > finite_mod_ring_a).
1.06/1.24	thf(decl_100, type, esk14_2: (finite_mod_ring_a > $o) > finite_mod_ring_a > finite_mod_ring_a).
1.06/1.24	thf(decl_101, type, esk15_3: (finite_mod_ring_a > $o) > finite_mod_ring_a > (finite_mod_ring_a > $o) > finite_mod_ring_a).
1.06/1.24	thf(decl_102, type, esk16_3: (finite_mod_ring_a > $o) > finite_mod_ring_a > (finite_mod_ring_a > $o) > finite_mod_ring_a).
1.06/1.24	thf(decl_103, type, esk17_2: (int > $o) > int > int).
1.06/1.24	thf(decl_104, type, esk18_2: (int > $o) > int > int).
1.06/1.24	thf(decl_105, type, esk19_3: (int > $o) > int > (int > $o) > int).
1.06/1.24	thf(decl_106, type, esk20_3: (int > $o) > int > (int > $o) > int).
1.06/1.24	thf(decl_107, type, esk21_2: (real > $o) > real > real).
1.06/1.24	thf(decl_108, type, esk22_2: (real > $o) > real > real).
1.06/1.24	thf(decl_109, type, esk23_3: (real > $o) > real > (real > $o) > real).
1.06/1.24	thf(decl_110, type, esk24_3: (real > $o) > real > (real > $o) > real).
1.06/1.24	thf(decl_111, type, esk25_3: (nat > $o) > (nat > $o) > nat > nat).
1.06/1.24	thf(decl_112, type, esk26_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
1.06/1.24	thf(decl_113, type, esk27_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
1.06/1.24	thf(decl_114, type, esk28_3: (int > $o) > (int > $o) > int > int).
1.06/1.24	thf(decl_115, type, esk29_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
1.06/1.24	thf(decl_116, type, esk30_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
1.06/1.24	thf(decl_117, type, esk31_3: (real > $o) > (real > $o) > real > real).
1.06/1.24	thf(decl_118, type, esk32_5: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real > real).
1.06/1.24	thf(decl_119, type, esk33_4: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real).
1.06/1.24	thf(decl_120, type, esk34_3: (nat > $o) > (nat > $o) > nat > nat).
1.06/1.24	thf(decl_121, type, esk35_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
1.06/1.24	thf(decl_122, type, esk36_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
1.06/1.24	thf(decl_123, type, esk37_3: (int > $o) > (int > $o) > int > int).
1.06/1.24	thf(decl_124, type, esk38_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
1.06/1.24	thf(decl_125, type, esk39_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
1.06/1.24	thf(decl_126, type, esk40_3: (real > $o) > (real > $o) > real > real).
1.06/1.24	thf(decl_127, type, esk41_5: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real > real).
1.06/1.24	thf(decl_128, type, esk42_4: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real).
1.06/1.24	thf(decl_129, type, esk43_1: nat > nat).
1.06/1.24	thf(decl_130, type, esk44_1: int > int).
1.06/1.24	thf(decl_131, type, esk45_1: real > real).
1.06/1.24	thf(decl_132, type, esk46_1: nat > nat).
1.06/1.24	thf(decl_133, type, esk47_1: int > int).
1.06/1.24	thf(decl_134, type, esk48_1: real > real).
1.06/1.24	thf(decl_135, type, esk49_1: nat > nat).
1.06/1.24	thf(decl_136, type, esk50_1: int > int).
1.06/1.24	thf(decl_137, type, esk51_1: real > real).
1.06/1.24	thf(decl_138, type, esk52_1: nat > nat).
1.06/1.24	thf(decl_139, type, esk53_1: int > int).
1.06/1.24	thf(decl_140, type, esk54_1: real > real).
1.06/1.24	thf(decl_141, type, esk55_3: (nat > $o) > (nat > $o) > nat > nat).
1.06/1.24	thf(decl_142, type, esk56_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
1.06/1.24	thf(decl_143, type, esk57_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
1.06/1.24	thf(decl_144, type, esk58_3: (int > $o) > (int > $o) > int > int).
1.06/1.24	thf(decl_145, type, esk59_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
1.06/1.24	thf(decl_146, type, esk60_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
1.06/1.24	thf(decl_147, type, esk61_3: (real > $o) > (real > $o) > real > real).
1.06/1.24	thf(decl_148, type, esk62_5: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real > real).
1.06/1.24	thf(decl_149, type, esk63_4: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real).
1.06/1.24	thf(decl_150, type, esk64_3: (nat > $o) > (nat > $o) > nat > nat).
1.06/1.24	thf(decl_151, type, esk65_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
1.06/1.24	thf(decl_152, type, esk66_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
1.06/1.24	thf(decl_153, type, esk67_3: (int > $o) > (int > $o) > int > int).
1.06/1.24	thf(decl_154, type, esk68_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
1.06/1.24	thf(decl_155, type, esk69_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
1.06/1.24	thf(decl_156, type, esk70_3: (real > $o) > (real > $o) > real > real).
1.06/1.24	thf(decl_157, type, esk71_5: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real > real).
1.06/1.24	thf(decl_158, type, esk72_4: (real > $o) > (real > $o) > (real > $o) > (real > $o) > real).
1.06/1.24	thf(decl_159, type, esk73_1: nat > nat).
1.06/1.24	thf(decl_160, type, esk74_1: int > int).
1.06/1.24	thf(decl_161, type, esk75_1: real > real).
1.06/1.24	thf(decl_162, type, esk76_1: nat > nat).
1.06/1.24	thf(decl_163, type, esk77_1: int > int).
1.06/1.24	thf(decl_164, type, esk78_1: real > real).
1.06/1.24	thf(decl_165, type, esk79_1: nat > nat).
1.06/1.24	thf(decl_166, type, esk80_1: int > int).
1.06/1.24	thf(decl_167, type, esk81_1: real > real).
1.06/1.24	thf(decl_168, type, esk82_1: nat > nat).
1.06/1.24	thf(decl_169, type, esk83_1: int > int).
1.06/1.24	thf(decl_170, type, esk84_1: real > real).
1.06/1.24	thf(decl_171, type, esk85_1: (nat > $o) > nat).
1.06/1.24	thf(decl_172, type, esk86_1: (nat > $o) > nat).
1.06/1.24	thf(decl_173, type, esk87_2: list_F4626807571770296779ring_a > list_F4626807571770296779ring_a > nat).
1.06/1.24	thf(decl_174, type, esk88_2: nat > (nat > finite_mod_ring_a > $o) > nat).
1.06/1.24	thf(decl_175, type, esk89_2: nat > (nat > finite_mod_ring_a > $o) > list_F4626807571770296779ring_a).
1.06/1.24	thf(decl_176, type, esk90_3: nat > (nat > finite_mod_ring_a > $o) > list_F4626807571770296779ring_a > nat).
1.06/1.24	thf(decl_177, type, esk91_3: nat > (nat > finite_mod_ring_a > $o) > nat > finite_mod_ring_a).
1.06/1.24	thf(decl_178, type, esk92_2: list_F4626807571770296779ring_a > list_F4626807571770296779ring_a > nat).
1.06/1.24	thf(decl_179, type, esk93_1: (list_F4626807571770296779ring_a > $o) > list_F4626807571770296779ring_a).
1.06/1.24	thf(decl_180, type, esk94_1: nat > list_F4626807571770296779ring_a).
1.06/1.24	thf(decl_181, type, esk95_2: int > (int > $o) > int).
1.06/1.24	thf(decl_182, type, esk96_2: int > (int > $o) > int).
1.06/1.24	thf(decl_183, type, esk97_4: int > (int > $o) > (int > $o) > int > int).
1.06/1.24	thf(decl_184, type, esk98_3: int > (int > $o) > (int > $o) > int).
1.06/1.24	thf(decl_185, type, esk99_2: int > (int > $o) > int).
1.06/1.24	thf(decl_186, type, esk100_2: int > (int > $o) > int).
1.06/1.24	thf(decl_187, type, esk101_4: int > (int > $o) > (int > $o) > int > int).
1.06/1.24	thf(decl_188, type, esk102_3: int > (int > $o) > (int > $o) > int).
1.06/1.24	thf(decl_189, type, esk103_1: (nat > $o) > nat).
1.06/1.24	thf(decl_190, type, esk104_0: finite_mod_ring_a).
1.06/1.24	thf(decl_191, type, esk105_0: finite_mod_ring_a).
1.06/1.24	thf(decl_192, type, esk106_1: (nat > nat) > nat).
1.06/1.24	thf(decl_193, type, esk107_1: (nat > nat) > nat).
1.06/1.24	thf(decl_194, type, esk108_2: nat > nat > nat).
1.06/1.24	thf(decl_195, type, esk109_2: nat > nat > nat).
1.06/1.24	thf(decl_196, type, esk110_2: (nat > $o) > nat > nat).
1.06/1.24	thf(decl_197, type, esk111_1: (nat > $o) > nat).
1.06/1.24	thf(decl_198, type, esk112_2: nat > nat > nat).
1.06/1.24	thf(decl_199, type, esk113_2: nat > nat > nat).
1.06/1.24	thf(decl_200, type, esk114_1: nat > nat).
1.06/1.24	thf(decl_201, type, esk115_1: int > int).
1.06/1.24	thf(decl_202, type, esk116_1: real > real).
1.06/1.24	thf(decl_203, type, esk117_1: nat > nat).
1.06/1.24	thf(decl_204, type, esk118_1: int > int).
1.06/1.24	thf(decl_205, type, esk119_1: real > real).
1.06/1.24	thf(decl_206, type, esk120_1: nat > nat).
1.06/1.24	thf(decl_207, type, esk121_1: int > int).
1.06/1.24	thf(decl_208, type, esk122_1: real > real).
1.06/1.24	thf(decl_209, type, esk123_1: nat > nat).
1.06/1.24	thf(decl_210, type, esk124_1: int > int).
1.06/1.24	thf(decl_211, type, esk125_1: real > real).
1.06/1.24	thf(decl_212, type, esk126_1: (nat > nat) > nat).
1.06/1.24	thf(decl_213, type, esk127_1: (nat > nat) > nat).
1.06/1.24	thf(decl_214, type, esk128_2: nat > nat > nat).
1.06/1.24	thf(decl_215, type, esk129_2: nat > nat > nat).
1.06/1.24	thf(decl_216, type, esk130_2: (nat > $o) > nat > nat).
1.06/1.24	thf(decl_217, type, esk131_3: (nat > $o) > nat > nat > nat).
1.06/1.24	thf(decl_218, type, esk132_3: (nat > $o) > nat > nat > nat).
1.06/1.24	thf(decl_219, type, esk133_3: int > int > (int > $o) > int).
1.06/1.24	thf(decl_220, type, esk134_3: int > int > (int > $o) > int).
1.06/1.24	thf(decl_221, type, esk135_2: (int > $o) > int > int).
1.06/1.24	thf(decl_222, type, esk136_2: (int > $o) > int > int).
1.06/1.24	thf(decl_223, type, esk137_2: int > (int > $o) > int).
1.06/1.24	thf(decl_224, type, esk138_2: int > (int > $o) > int).
1.06/1.24	thf(decl_225, type, esk139_3: int > int > (int > $o) > int).
1.06/1.24	thf(decl_226, type, esk140_3: int > int > (int > $o) > int).
1.06/1.24	thf(decl_227, type, esk141_2: (nat > $o) > nat > nat).
1.06/1.24	thf(decl_228, type, esk142_1: (nat > $o) > nat).
1.06/1.24	thf(decl_229, type, esk143_2: nat > (nat > int) > nat).
1.06/1.24	thf(decl_230, type, esk144_3: nat > (nat > int) > int > nat).
1.06/1.24	thf(decl_231, type, esk145_2: nat > (nat > $o) > nat).
1.06/1.24	thf(decl_232, type, esk146_2: nat > (nat > $o) > nat).
1.06/1.24	thf(decl_233, type, esk147_2: nat > (nat > int) > nat).
1.06/1.24	thf(decl_234, type, esk148_3: nat > (nat > int) > int > nat).
1.06/1.24	thf(decl_235, type, esk149_1: (nat > nat > $o) > nat).
1.06/1.24	thf(decl_236, type, esk150_1: (nat > nat > $o) > nat).
1.06/1.24	thf(decl_237, type, esk151_1: (nat > nat > $o) > nat).
1.06/1.24	thf(decl_238, type, esk152_1: (nat > nat > $o) > nat).
1.06/1.24	thf(decl_239, type, esk153_1: (nat > nat > $o) > nat).
1.06/1.24	thf(decl_240, type, esk154_2: nat > real > real).
1.06/1.24	thf(decl_241, type, esk155_2: nat > nat > nat).
1.06/1.24	thf(decl_242, type, esk156_1: (nat > $o) > nat).
1.06/1.24	thf(decl_243, type, esk157_3: nat > nat > (nat > $o) > nat).
1.06/1.24	thf(decl_244, type, esk158_3: nat > nat > (nat > nat > $o) > nat).
1.06/1.24	thf(decl_245, type, esk159_3: nat > nat > (nat > nat > $o) > nat).
1.06/1.24	thf(decl_246, type, esk160_3: nat > nat > (nat > nat > $o) > nat).
1.06/1.24	thf(decl_247, type, esk161_3: nat > nat > (nat > nat > $o) > nat).
1.06/1.24	thf(decl_248, type, esk162_3: nat > nat > (nat > nat > $o) > nat).
1.06/1.24	thf(decl_249, type, esk163_2: nat > nat > nat).
1.06/1.24	thf(decl_250, type, esk164_1: nat > nat).
1.06/1.24	thf(decl_251, type, esk165_2: nat > (nat > $o) > nat).
1.06/1.24	thf(decl_252, type, esk166_2: nat > (nat > $o) > nat).
1.06/1.24	thf(decl_253, type, esk167_1: nat > nat).
1.06/1.24	thf(decl_254, type, esk168_2: nat > (nat > $o) > nat).
1.06/1.24	thf(decl_255, type, esk169_2: nat > (nat > $o) > nat).
1.06/1.24	thf(decl_256, type, esk170_3: nat > nat > (nat > $o) > nat).
1.06/1.24	thf(decl_257, type, esk171_3: nat > nat > (nat > $o) > nat).
1.06/1.24	thf(decl_258, type, esk172_2: nat > nat > nat).
1.06/1.24	thf(decl_259, type, esk173_2: nat > nat > nat).
1.06/1.24	thf(decl_260, type, esk174_2: nat > nat > nat).
1.06/1.24	thf(decl_261, type, esk175_1: nat > nat).
1.06/1.24	thf(decl_262, type, esk176_1: (nat > $o) > nat).
1.06/1.24	thf(decl_263, type, esk177_1: (nat > nat > $o) > nat).
1.06/1.24	thf(decl_264, type, esk178_1: (nat > nat > $o) > nat).
1.06/1.24	thf(decl_265, type, esk179_1: (nat > nat > $o) > nat).
1.06/1.24	thf(decl_266, type, esk180_1: (nat > nat > $o) > nat).
1.06/1.24	thf(decl_267, type, esk181_1: (nat > $o) > nat).
1.06/1.24	thf(decl_268, type, esk182_1: nat > nat).
1.06/1.24	thf(decl_269, type, esk183_3: nat > nat > (nat > $o) > nat).
1.06/1.24	thf(decl_270, type, esk184_3: nat > nat > (nat > $o) > nat).
1.06/1.24	thf(decl_271, type, esk185_3: nat > nat > (nat > nat > $o) > nat).
1.06/1.24	thf(decl_272, type, esk186_3: nat > nat > (nat > nat > $o) > nat).
1.06/1.24	thf(decl_273, type, esk187_3: nat > nat > (nat > nat > $o) > nat).
1.06/1.24	thf(decl_274, type, esk188_3: nat > nat > (nat > nat > $o) > nat).
1.06/1.24	thf(decl_275, type, esk189_2: nat > nat > nat).
1.06/1.24	thf(decl_276, type, esk190_2: nat > (nat > $o) > nat).
1.06/1.24	thf(decl_277, type, esk191_2: nat > (nat > $o) > nat).
1.06/1.24	thf(decl_278, type, esk192_2: nat > (nat > $o) > nat).
1.06/1.24	thf(decl_279, type, esk193_2: nat > (nat > $o) > nat).
1.06/1.24	thf(decl_280, type, esk194_2: nat > nat > nat).
1.06/1.24	thf(decl_281, type, esk195_2: nat > nat > nat).
1.06/1.24	thf(decl_282, type, esk196_2: (nat > $o) > nat > nat).
1.06/1.24	thf(decl_283, type, esk197_2: (nat > $o) > nat > nat).
1.06/1.24	thf(decl_284, type, esk198_2: nat > (nat > $o) > nat).
1.06/1.24	thf(decl_285, type, esk199_3: nat > nat > (nat > int) > nat).
1.06/1.24	thf(decl_286, type, esk200_4: nat > nat > (nat > int) > int > nat).
1.06/1.24	thf(decl_287, type, esk201_2: nat > real > real).
1.06/1.24	thf(decl_288, type, esk202_3: real > real > (real > real > $o) > real).
1.06/1.24	thf(decl_289, type, esk203_3: real > real > (real > real > $o) > real).
1.06/1.24	thf(decl_290, type, esk204_3: real > real > (real > real > $o) > real).
1.06/1.24	thf(decl_291, type, esk205_3: real > real > (real > real > $o) > real).
1.06/1.24	thf(decl_292, type, esk206_4: real > real > (real > real > $o) > real > real).
1.06/1.24	thf(decl_293, type, esk207_4: real > real > (real > real > $o) > real > real).
1.06/1.24	thf(decl_294, type, esk208_2: set_real > real > real).
1.06/1.24	thf(decl_295, type, esk209_1: set_real > real).
1.06/1.24	thf(decl_296, type, esk210_2: set_real > real > real).
1.06/1.24	thf(decl_297, type, esk211_1: nat > nat).
1.06/1.24	thf(decl_298, type, esk212_3: real > real > real > real).
1.06/1.24	thf(decl_299, type, esk213_1: (nat > $o) > nat).
1.06/1.24	thf(decl_300, type, esk214_2: int > int > nat).
1.06/1.24	thf(decl_301, type, esk215_1: int > nat).
1.06/1.24	thf(decl_302, type, esk216_1: int > nat).
1.06/1.24	thf(decl_303, type, esk217_1: int > nat).
1.06/1.24	thf(decl_304, type, esk218_1: int > nat).
1.06/1.24	thf(decl_305, type, esk219_2: int > int > nat).
1.06/1.24	thf(decl_306, type, esk220_1: int > nat).
1.06/1.24	thf(decl_307, type, esk221_1: int > nat).
1.06/1.24	thf(decl_308, type, esk222_2: real > real > nat).
1.06/1.24	thf(decl_309, type, esk223_1: (nat > nat > $o) > nat).
1.06/1.24	thf(decl_310, type, esk224_1: (nat > nat > $o) > nat).
1.06/1.24	thf(decl_311, type, esk225_1: (nat > nat > $o) > nat).
1.06/1.24	thf(decl_312, type, esk226_4: (nat > $o) > nat > nat > nat > nat).
1.06/1.24	thf(decl_313, type, esk227_3: nat > nat > nat > nat).
1.06/1.24	thf(decl_314, type, esk228_3: nat > nat > nat > nat).
1.06/1.24	thf(decl_315, type, esk229_3: (nat > $o) > nat > nat > nat).
1.06/1.24	thf(decl_316, type, esk230_3: (nat > $o) > nat > nat > nat).
1.06/1.24	thf(decl_317, type, esk231_3: nat > nat > nat > nat).
1.06/1.24	thf(decl_318, type, esk232_3: nat > nat > nat > nat).
1.06/1.24	thf(decl_319, type, epred1_1: set_real > real > $o).
1.06/1.24	thf(fact_159_mult_Ocommute, axiom, ((times_5121417576591743744ring_a)=(^[X341:finite_mod_ring_a, X342:finite_mod_ring_a]:(times_5121417576591743744ring_a @ X342 @ X341))), file('/export/starexec/sandbox2/tmp/tmp.OetEi9s9HP/Vampire---4.8_1799', fact_159_mult_Ocommute)).
1.06/1.24	thf(fact_160_mult_Ocommute, axiom, ((times_times_nat)=(^[X343:nat, X344:nat]:(times_times_nat @ X344 @ X343))), file('/export/starexec/sandbox2/tmp/tmp.OetEi9s9HP/Vampire---4.8_1799', fact_160_mult_Ocommute)).
1.06/1.24	thf(conj_1, conjecture, ((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ l @ j))) @ (power_6826135765519566523ring_a @ omega @ (times_times_nat @ i @ l)))=(times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (power_6826135765519566523ring_a @ (power_6826135765519566523ring_a @ mu @ l) @ (minus_minus_nat @ j @ i)))), file('/export/starexec/sandbox2/tmp/tmp.OetEi9s9HP/Vampire---4.8_1799', conj_1)).
1.06/1.24	thf(fact_10__092_060open_062_I_092_060omega_062_A_094_Al_A_K_A_092_060mu_062_A_094_Al_J_A_094_Ai_A_K_A_Inumbers_A_B_Aj_A_K_A_I_092_060mu_062_A_094_Al_J_A_094_A_Ij_A_N_Ai_J_J_A_061_Anumbers_A_B_Aj_A_K_A_I_092_060omega_062_A_094_Al_J_A_094_Ai_A_K_A_I_092_060mu_062_A_094_Al_J_A_094_Aj_092_060close_062, axiom, ((times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ (times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ omega @ l) @ (power_6826135765519566523ring_a @ mu @ l)) @ i) @ (times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (power_6826135765519566523ring_a @ (power_6826135765519566523ring_a @ mu @ l) @ (minus_minus_nat @ j @ i))))=(times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (power_6826135765519566523ring_a @ (power_6826135765519566523ring_a @ omega @ l) @ i)) @ (power_6826135765519566523ring_a @ (power_6826135765519566523ring_a @ mu @ l) @ j))), file('/export/starexec/sandbox2/tmp/tmp.OetEi9s9HP/Vampire---4.8_1799', fact_10__092_060open_062_I_092_060omega_062_A_094_Al_A_K_A_092_060mu_062_A_094_Al_J_A_094_Ai_A_K_A_Inumbers_A_B_Aj_A_K_A_I_092_060mu_062_A_094_Al_J_A_094_A_Ij_A_N_Ai_J_J_A_061_Anumbers_A_B_Aj_A_K_A_I_092_060omega_062_A_094_Al_J_A_094_Ai_A_K_A_I_092_060mu_062_A_094_Al_J_A_094_Aj_092_060close_062)).
1.06/1.24	thf(fact_22_power__mult, axiom, ![X1:finite_mod_ring_a, X19:nat, X3:nat]:(((power_6826135765519566523ring_a @ X1 @ (times_times_nat @ X19 @ X3))=(power_6826135765519566523ring_a @ (power_6826135765519566523ring_a @ X1 @ X19) @ X3))), file('/export/starexec/sandbox2/tmp/tmp.OetEi9s9HP/Vampire---4.8_1799', fact_22_power__mult)).
1.06/1.24	thf(fact_163_mult_Oleft__commute, axiom, ![X2:finite_mod_ring_a, X1:finite_mod_ring_a, X10:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ X2 @ (times_5121417576591743744ring_a @ X1 @ X10))=(times_5121417576591743744ring_a @ X1 @ (times_5121417576591743744ring_a @ X2 @ X10)))), file('/export/starexec/sandbox2/tmp/tmp.OetEi9s9HP/Vampire---4.8_1799', fact_163_mult_Oleft__commute)).
1.06/1.24	thf(fact_109_left__right__inverse__power, axiom, ![X259:finite_mod_ring_a, X260:finite_mod_ring_a, X3:nat]:((((times_5121417576591743744ring_a @ X259 @ X260)=(one_on2109788427901206336ring_a))=>((times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ X259 @ X3) @ (power_6826135765519566523ring_a @ X260 @ X3))=(one_on2109788427901206336ring_a)))), file('/export/starexec/sandbox2/tmp/tmp.OetEi9s9HP/Vampire---4.8_1799', fact_109_left__right__inverse__power)).
1.06/1.24	thf(fact_48_power__one, axiom, ![X3:nat]:(((power_6826135765519566523ring_a @ one_on2109788427901206336ring_a @ X3)=(one_on2109788427901206336ring_a))), file('/export/starexec/sandbox2/tmp/tmp.OetEi9s9HP/Vampire---4.8_1799', fact_48_power__one)).
1.06/1.24	thf(fact_129_mult_Oright__neutral, axiom, ![X1:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ X1 @ one_on2109788427901206336ring_a)=(X1))), file('/export/starexec/sandbox2/tmp/tmp.OetEi9s9HP/Vampire---4.8_1799', fact_129_mult_Oright__neutral)).
1.06/1.24	thf(fact_4_mu__properties, axiom, ((times_5121417576591743744ring_a @ mu @ omega)=(one_on2109788427901206336ring_a)), file('/export/starexec/sandbox2/tmp/tmp.OetEi9s9HP/Vampire---4.8_1799', fact_4_mu__properties)).
1.06/1.24	thf(c_0_10, plain, ![X5234:finite_mod_ring_a, X5235:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ X5234 @ X5235)=(times_5121417576591743744ring_a @ X5235 @ X5234))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_159_mult_Ocommute])])).
1.06/1.24	thf(c_0_11, plain, ![X5827:finite_mod_ring_a, X5828:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ X5827 @ X5828)=(times_5121417576591743744ring_a @ X5828 @ X5827))), inference(variable_rename,[status(thm)],[c_0_10])).
1.06/1.24	thf(c_0_12, plain, ![X5236:nat, X5237:nat]:(((times_times_nat @ X5236 @ X5237)=(times_times_nat @ X5237 @ X5236))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_160_mult_Ocommute])])).
1.06/1.24	thf(c_0_13, negated_conjecture, ((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ l @ j))) @ (power_6826135765519566523ring_a @ omega @ (times_times_nat @ i @ l)))!=(times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (power_6826135765519566523ring_a @ (power_6826135765519566523ring_a @ mu @ l) @ (minus_minus_nat @ j @ i)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])])).
1.06/1.24	thf(c_0_14, plain, ((times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ (times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ omega @ l) @ (power_6826135765519566523ring_a @ mu @ l)) @ i) @ (times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (power_6826135765519566523ring_a @ (power_6826135765519566523ring_a @ mu @ l) @ (minus_minus_nat @ j @ i))))=(times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (power_6826135765519566523ring_a @ (power_6826135765519566523ring_a @ omega @ l) @ i)) @ (power_6826135765519566523ring_a @ (power_6826135765519566523ring_a @ mu @ l) @ j))), inference(split_conjunct,[status(thm)],[fact_10__092_060open_062_I_092_060omega_062_A_094_Al_A_K_A_092_060mu_062_A_094_Al_J_A_094_Ai_A_K_A_Inumbers_A_B_Aj_A_K_A_I_092_060mu_062_A_094_Al_J_A_094_A_Ij_A_N_Ai_J_J_A_061_Anumbers_A_B_Aj_A_K_A_I_092_060omega_062_A_094_Al_J_A_094_Ai_A_K_A_I_092_060mu_062_A_094_Al_J_A_094_Aj_092_060close_062])).
1.06/1.24	thf(c_0_15, plain, ![X2:finite_mod_ring_a, X1:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ X1 @ X2)=(times_5121417576591743744ring_a @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_11])).
1.06/1.24	thf(c_0_16, plain, ![X5345:finite_mod_ring_a, X5346:nat, X5347:nat]:(((power_6826135765519566523ring_a @ X5345 @ (times_times_nat @ X5346 @ X5347))=(power_6826135765519566523ring_a @ (power_6826135765519566523ring_a @ X5345 @ X5346) @ X5347))), inference(variable_rename,[status(thm)],[fact_22_power__mult])).
1.06/1.24	thf(c_0_17, plain, ![X5829:nat, X5830:nat]:(((times_times_nat @ X5829 @ X5830)=(times_times_nat @ X5830 @ X5829))), inference(variable_rename,[status(thm)],[c_0_12])).
1.06/1.24	thf(c_0_18, negated_conjecture, ((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ l @ j))) @ (power_6826135765519566523ring_a @ omega @ (times_times_nat @ i @ l)))!=(times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (power_6826135765519566523ring_a @ (power_6826135765519566523ring_a @ mu @ l) @ (minus_minus_nat @ j @ i)))), inference(split_conjunct,[status(thm)],[c_0_13])).
1.06/1.24	thf(c_0_19, plain, ((times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ (times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ mu @ l) @ (power_6826135765519566523ring_a @ omega @ l)) @ i) @ (times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (power_6826135765519566523ring_a @ (power_6826135765519566523ring_a @ mu @ l) @ (minus_minus_nat @ j @ i))))=(times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ (power_6826135765519566523ring_a @ mu @ l) @ j) @ (times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (power_6826135765519566523ring_a @ (power_6826135765519566523ring_a @ omega @ l) @ i)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15]), c_0_15])).
1.06/1.24	thf(c_0_20, plain, ![X3:nat, X1:finite_mod_ring_a, X4:nat]:(((power_6826135765519566523ring_a @ X1 @ (times_times_nat @ X3 @ X4))=(power_6826135765519566523ring_a @ (power_6826135765519566523ring_a @ X1 @ X3) @ X4))), inference(split_conjunct,[status(thm)],[c_0_16])).
1.06/1.24	thf(c_0_21, plain, ![X4:nat, X3:nat]:(((times_times_nat @ X3 @ X4)=(times_times_nat @ X4 @ X3))), inference(split_conjunct,[status(thm)],[c_0_17])).
1.06/1.24	thf(c_0_22, plain, ![X5835:finite_mod_ring_a, X5836:finite_mod_ring_a, X5837:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ X5835 @ (times_5121417576591743744ring_a @ X5836 @ X5837))=(times_5121417576591743744ring_a @ X5836 @ (times_5121417576591743744ring_a @ X5835 @ X5837)))), inference(variable_rename,[status(thm)],[fact_163_mult_Oleft__commute])).
1.06/1.24	thf(c_0_23, negated_conjecture, ((times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ omega @ (times_times_nat @ i @ l)) @ (times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ l @ j)) @ (nth_Fi694352073394265932ring_a @ numbers @ j)))!=(times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (power_6826135765519566523ring_a @ (power_6826135765519566523ring_a @ mu @ l) @ (minus_minus_nat @ j @ i)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_15]), c_0_15])).
1.06/1.24	thf(c_0_24, plain, ((times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ (times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ mu @ l) @ (power_6826135765519566523ring_a @ omega @ l)) @ i) @ (times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ l @ (minus_minus_nat @ j @ i)))))=(times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ j @ l)) @ (times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ omega @ (times_times_nat @ i @ l)) @ (nth_Fi694352073394265932ring_a @ numbers @ j)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20]), c_0_20]), c_0_21]), c_0_20]), c_0_21]), c_0_15])).
1.06/1.24	thf(c_0_25, plain, ![X1:finite_mod_ring_a, X2:finite_mod_ring_a, X10:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ X1 @ (times_5121417576591743744ring_a @ X2 @ X10))=(times_5121417576591743744ring_a @ X2 @ (times_5121417576591743744ring_a @ X1 @ X10)))), inference(split_conjunct,[status(thm)],[c_0_22])).
1.06/1.24	thf(c_0_26, plain, ![X5694:finite_mod_ring_a, X5695:finite_mod_ring_a, X5696:nat]:((((times_5121417576591743744ring_a @ X5694 @ X5695)!=(one_on2109788427901206336ring_a))|((times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ X5694 @ X5696) @ (power_6826135765519566523ring_a @ X5695 @ X5696))=(one_on2109788427901206336ring_a)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_109_left__right__inverse__power])])).
1.06/1.24	thf(c_0_27, plain, ![X5459:nat]:(((power_6826135765519566523ring_a @ one_on2109788427901206336ring_a @ X5459)=(one_on2109788427901206336ring_a))), inference(variable_rename,[status(thm)],[fact_48_power__one])).
1.06/1.24	thf(c_0_28, plain, ![X5740:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ X5740 @ one_on2109788427901206336ring_a)=(X5740))), inference(variable_rename,[status(thm)],[fact_129_mult_Oright__neutral])).
1.06/1.24	thf(c_0_29, negated_conjecture, ((times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ omega @ (times_times_nat @ i @ l)) @ (times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ j @ l)) @ (nth_Fi694352073394265932ring_a @ numbers @ j)))!=(times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ l @ (minus_minus_nat @ j @ i))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_21]), c_0_20])).
1.06/1.24	thf(c_0_30, plain, ((times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ l @ (minus_minus_nat @ j @ i))) @ (power_6826135765519566523ring_a @ (times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ mu @ l) @ (power_6826135765519566523ring_a @ omega @ l)) @ i)))=(times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ j @ l)) @ (times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ omega @ (times_times_nat @ i @ l)) @ (nth_Fi694352073394265932ring_a @ numbers @ j)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25]), c_0_15])).
1.06/1.24	thf(c_0_31, plain, ![X3:nat, X1:finite_mod_ring_a, X2:finite_mod_ring_a]:((((times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ X1 @ X3) @ (power_6826135765519566523ring_a @ X2 @ X3))=(one_on2109788427901206336ring_a))|((times_5121417576591743744ring_a @ X1 @ X2)!=(one_on2109788427901206336ring_a)))), inference(split_conjunct,[status(thm)],[c_0_26])).
1.06/1.24	thf(c_0_32, plain, ![X3:nat]:(((power_6826135765519566523ring_a @ one_on2109788427901206336ring_a @ X3)=(one_on2109788427901206336ring_a))), inference(split_conjunct,[status(thm)],[c_0_27])).
1.06/1.24	thf(c_0_33, plain, ![X1:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ X1 @ one_on2109788427901206336ring_a)=(X1))), inference(split_conjunct,[status(thm)],[c_0_28])).
1.06/1.24	thf(c_0_34, plain, ((times_5121417576591743744ring_a @ mu @ omega)=(one_on2109788427901206336ring_a)), inference(split_conjunct,[status(thm)],[fact_4_mu__properties])).
1.06/1.24	thf(c_0_35, negated_conjecture, ((times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ j @ l)) @ (times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ omega @ (times_times_nat @ i @ l)) @ (nth_Fi694352073394265932ring_a @ numbers @ j)))!=(times_5121417576591743744ring_a @ (nth_Fi694352073394265932ring_a @ numbers @ j) @ (power_6826135765519566523ring_a @ mu @ (times_times_nat @ l @ (minus_minus_nat @ j @ i))))), inference(rw,[status(thm)],[c_0_29, c_0_25])).
1.06/1.24	thf(c_0_36, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35]), ['proof']).
1.06/1.24	# SZS output end CNFRefutation
1.06/1.24	# Parsed axioms                        : 1349
1.06/1.24	# Removed by relevancy pruning/SinE    : 0
1.06/1.24	# Initial clauses                      : 2537
1.06/1.24	# Removed in clause preprocessing      : 168
1.06/1.24	# Initial clauses in saturation        : 2369
1.06/1.24	# Processed clauses                    : 2943
1.06/1.24	# ...of these trivial                  : 133
1.06/1.24	# ...subsumed                          : 453
1.06/1.24	# ...remaining for further processing  : 2357
1.06/1.24	# Other redundant clauses eliminated   : 302
1.06/1.24	# Clauses deleted for lack of memory   : 0
1.06/1.24	# Backward-subsumed                    : 16
1.06/1.24	# Backward-rewritten                   : 32
1.06/1.24	# Generated clauses                    : 1687
1.06/1.24	# ...of the previous two non-redundant : 1053
1.06/1.24	# ...aggressively subsumed             : 0
1.06/1.24	# Contextual simplify-reflections      : 4
1.06/1.24	# Paramodulations                      : 1382
1.06/1.24	# Factorizations                       : 0
1.06/1.24	# NegExts                              : 0
1.06/1.24	# Equation resolutions                 : 318
1.06/1.24	# Propositional unsat checks           : 0
1.06/1.24	#    Propositional check models        : 0
1.06/1.24	#    Propositional check unsatisfiable : 0
1.06/1.24	#    Propositional clauses             : 0
1.06/1.24	#    Propositional clauses after purity: 0
1.06/1.24	#    Propositional unsat core size     : 0
1.06/1.24	#    Propositional preprocessing time  : 0.000
1.06/1.24	#    Propositional encoding time       : 0.000
1.06/1.24	#    Propositional solver time         : 0.000
1.06/1.24	#    Success case prop preproc time    : 0.000
1.06/1.24	#    Success case prop encoding time   : 0.000
1.06/1.24	#    Success case prop solver time     : 0.000
1.06/1.24	# Current number of processed clauses  : 378
1.06/1.24	#    Positive orientable unit clauses  : 152
1.06/1.24	#    Positive unorientable unit clauses: 8
1.06/1.24	#    Negative unit clauses             : 59
1.06/1.24	#    Non-unit-clauses                  : 159
1.06/1.24	# Current number of unprocessed clauses: 2168
1.06/1.24	# ...number of literals in the above   : 7803
1.06/1.24	# Current number of archived formulas  : 0
1.06/1.24	# Current number of archived clauses   : 1748
1.06/1.24	# Clause-clause subsumption calls (NU) : 835601
1.06/1.24	# Rec. Clause-clause subsumption calls : 150544
1.06/1.24	# Non-unit clause-clause subsumptions  : 327
1.06/1.24	# Unit Clause-clause subsumption calls : 15719
1.06/1.24	# Rewrite failures with RHS unbound    : 0
1.06/1.24	# BW rewrite match attempts            : 421
1.06/1.24	# BW rewrite match successes           : 347
1.06/1.24	# Condensation attempts                : 2943
1.06/1.24	# Condensation successes               : 2
1.06/1.24	# Termbank termtop insertions          : 307534
1.06/1.24	
1.06/1.24	# -------------------------------------------------
1.06/1.24	# User time                : 0.550 s
1.06/1.24	# System time              : 0.023 s
1.06/1.24	# Total time               : 0.573 s
1.06/1.24	# Maximum resident set size: 12228 pages
1.06/1.24	
1.06/1.24	# -------------------------------------------------
1.06/1.24	# User time                : 0.598 s
1.06/1.24	# System time              : 0.029 s
1.06/1.24	# Total time               : 0.627 s
1.06/1.24	# Maximum resident set size: 4352 pages
1.06/1.24	EOF